Need help with this problem pls

Need Help With This Problem Pls

Answers

Answer 1

Answer:

SAS

Step-by-step explanation:

SAS. THEY HAVE OPPOSITE CONGRUENT SIDES, CONGRUENT ANGLES, AND A SHARED SIDE


Related Questions

Solve for Vth? It is with complex numbers such as j
\( 19.8-j 5.6=\frac{V_{t h}}{3+j 4}+\frac{V_{t h}}{12+j 9} \)

Answers

The value of Vth is approximately -30.5 - j16.7.

To solve for Vth, we can rewrite the given equation as a single complex equation.

j19.8 - i5.6 = Vth/(3+j4) + Vth/(12+j9)

To simplify the equation, we can find a common denominator for the two fractions,

j19.8 - i5.6 = (Vth*(12+j9) + Vth*(3+j4))/((3+j4)*(12+j9))

Next, we can combine like terms,

j19.8 - i5.6 = (15Vth + 20Vth + j12Vth - j4Vth)/(36 + j63)

Simplifying further,

j19.8 - i5.6 = (35Vth + j8Vth)/(36 + j63)

Now, we can equate the real and imaginary parts of both sides of the equation,

Real part: 0 = 35Vth/(36 + j63)

Imaginary part: -5.6 = 8Vth/(36 + j63)

Solving these equations simultaneously, we find Vth ≈ -30.5 - j16.7.

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Complete question - Solve for Vth? It is with complex numbers such as

j19.8 - i5.6 = Vth/(3+j4) + Vth/(12+j9)

What is the circumference of a circle with a diameter of 4.2 cm?

Answers

Answer:

it would be C≈13.19cm

hope this helps :)

Search up for the circumference formula and then plug in 4.2 in it and then you should get your answer

Which is greater, 12/17 or 5/8?

Answers

Answer:

5/8

Step-by-step explanation:

12/17 is 0.70

5/8 is 0.62

However, 12/17 had a lot more numbers than that so

TRUST ME I GOT EXCEPTED INTO HARVARD

Answer:

12/17 is greater

Step-by-step explanation:

12/17 is greater than 5/8 because to determine which fraction is greater you need to have the same denominator. To get the same denominator I multiplied 17 by 8 and 8 by 17. Since what you do the denominator you have to do the same to the numerator, you would multiply 12 by 8 and 5 by 17 which would lead you to get 12/17= 96/136 and 5/8= 85/136. So, 96/136 > 85/136.

A financial institution randomly generates temporary three-digit security
codes for the backs of credit cards. Tis is expecting her credit card to arrive
in the mail. Determine the probability that her security code will consist of
three different even digits.

Answers

Answer:

Here it is

Step-by-step explanation:

A financial institution randomly generates temporary three-digit securitycodes for the backs of credit

This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample

Answers

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Vail Ski Shop received a $1,205 invoice dated July 12 with 2/10, 1/15, n/60 terms. On July 26, Vail sent a $489 partial payment.
a. What credit should Vail receive?
b.What is Vail's outstanding balance

Answers

Outstanding balance = Invoice amount - CreditInvoice amount = $1,205Credit = $611.25Outstanding balance = $1,205 - $611.25Outstanding balance = $593.75Therefore, Vail's outstanding balance is $593.75.

a. To determine the credit that Vail should receive, we need to use the formula for partial payment: Payment / (1 - Discount%)The calculation for the credit that Vail should receive is:Discount% = 2/10 = 0.2Credit = 489 / (1 - 0.2)Credit = 489 / 0.8Credit = $611.25The credit that Vail should receive is $611.25.b.

To calculate Vail's outstanding balance, we need to subtract the credit from the invoice amount. The calculation is:Outstanding balance = Invoice amount - CreditInvoice amount = $1,205Credit = $611.25Outstanding balance = $1,205 - $611.25Outstanding balance = $593.75Therefore, Vail's outstanding balance is $593.75.

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The three interior angle measures of this triangle are x= ___, y= ___, and z= ___.

The three interior angle measures of this triangle are x= ___, y= ___, and z= ___.

Answers

Answer:

∡x = 30°

∡y = 70°

∡z = 80°

Step-by-step explanation:

Help, will rate brainlist if correct!!
y = x4 - 5x2
A.) What is the y-intercept of this graph? How do you know? (1 point)

B.) What are the x-intercepts/roots/zeros? Show your work. (4 points)

C.) Describe the end behavior of this function (2 points)

D.) Draw a graph of this function, carefully labeling your intercepts and showing the end behavior.

Answers

A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

How to solve the expression

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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Help, will rate brainlist if correct!! y = x4 - 5x2A.) What is the y-intercept of this graph? How do

The percent change from 45 to 90 is

Answers

A change from 45 to 90 represents a positive change (increase) of 100%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old|Old| × 100%

Percent change = 90 - 45|45| × 100% =

4545 × 100 = 100% (increase)

Where: 45 is the old value and 90 is the new value. In this case we have a positive change (increase) of 100 percent because the new value is greater than the old value.

Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 3x^2y' +6xy = 15y^3 The general solution is ___

Answers

The general solution of the differential equation is \(& y=\sqrt{\frac{x}{2+c x^5}}\).

The general solution of the following differential equation is \($\quad 3 x^2 y^{\prime}+6 x y=15 y^3$\).

When the arbitrary constant of the general solution takes some unique value, then the solution becomes the particular solution of the equation.

The differential equations which are represented in terms of (x,y) such as the x-terms and y-terms can be ordered to different sides of the equation (including delta terms). Thus, each variable after separation can be integrated easily to find the solution of the differential equation. The equations can be written as:

\(f(x) dx+g(y)dy=0\), where f(x) and g(y) are either constants or functions of x and y respectively.

solution: \($\quad y^{\prime}=\frac{d y}{d x}$\)

So rewritten question as

\($$\begin{aligned}& 3 x^2 \frac{d y}{d x}+6 x y=15 y^3 \\& \frac{d y}{d x}+\frac{6 x y}{3 x^2}=\frac{15 y^3}{3 x^2} \\& \frac{d y}{d x}+\frac{2 y}{x}=\frac{5}{x^2} y^3\end{aligned}$$\)

compare equation (1) with Bernoulli's Equation

\($$\begin{aligned}& \frac{d y}{d x}+P(x) y=Q(x) y^n \\& P(x)=\frac{2}{x} \quad Q(x)=\frac{5}{x^2} \\& n=3\end{aligned}$$\)

Substitute:

\(v & =y^{1-n} \\v & =y^{1-3} \\v & =y^{-2} \\y \quad y & =v^{(-1 / 2)}-(2) \\\frac{d y}{d x} & =-\frac{1}{2}\left(v^{-\frac{1}{2}-1}\right) \frac{d v}{d x}\end{aligned}$$\)

\(\frac{d y}{d x}=-\frac{1}{2} v^{-3 / 2} \frac{d v}{d x}\)

substitute value of y and \($\frac{d y}{d x}$\) from 4 (2) and (3) respectively in equation (1)

⇒\(& \frac{-1}{2} v^{-3 / 2} \frac{d v}{d x}+\frac{2}{x} \cdot v^{-1 / 2}=\frac{5}{x^2} \cdot v^{-3 / 2}\)

⇒\(& \frac{d v}{d x}-\frac{4}{x} v=\frac{-10}{x^2} \\\)

⇒ Integrating factor\(=e^{\int-4 / x d x} \\\)

\(& =e^{-4 \ln x} \\& =e^{\ln x^{-4}} \\& =x^{-4} \\& =\frac{1}{x^4} \\\)

⇒\(\frac{1}{x^4} v=\int \frac{1}{x^4} \times \frac{-10}{x^2} d x \\\)

\(& =-10 \int x^{-6} d x \\\)

\(& =+10 \frac{x^{-6+1}}{(-6+1)}+C=\frac{+10^2}{+8} x^{-5}+C \\&\)

⇒\(\frac{1}{x^4} \cdot v & =\frac{2}{x^5}+c \\\)

⇒\(v & =\left(\frac{2}{x^5}+c\right) x^4 \\\)

⇒\(v & =\left(\frac{2}{x}+c x^4\right)\)

Now replace v=y-2

⇒\(& y^{-2}=\frac{2}{x}+c x^4 \\\)

⇒\(& y=\left[\frac{1}{\left(\frac{2}{x}+\left(x^4\right)\right.}\right]^{1 / 2} \\\)

⇒\(& y=\sqrt{\frac{x}{2+c x^5}}\)

Therefore, the general solution of the differential equation is \(& y=\sqrt{\frac{x}{2+c x^5}}\).

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What is the area of the trapezoid at the right

 What is the area of the trapezoid at the right

Answers

Answer:

144

Step-by-step explanation:

8•6 because two triangles make a square and they are the same size, so there is no need to divide by half

then 8•12 for the square in the middle

the radius of a circle is 4 inches
r=4

Answers

Answer:

Step-by-step explanation:

I’m dying for help, please help me on question 2
“Fill in the blank using the nearest whole number”

 Im dying for help, please help me on question 2Fill in the blank using the nearest whole number

Answers

Answer: 1 in every 9 students

Step-by-step explanation:

In 2019 the graph reads 11.1% of students vaped. 100%/11.1% = 9. Therefore 1 in every 9 students

Answer: 9

Step-by-step explanation:

The Graph reads 11.1% of students vaped. 100%/11.1% = 9. So the answer must be 1 in every 9 students

I hoped this helped and have a great day!

Sam is driving a distance of 140 miles from his house to visit Melissa. Sam takes city roads, on which he can travel an average of 35 mph for a total of 1.5 hours. Sam also takes the highway, on which he travels an average of 65 mph for a total of x hours. Approximately how long does Sam travel on the highway, to the nearest tenth of an hour?

Answers

The hours travelled on the highway is 1.3 hours.

What is the time travelled?

The first step is to determine the distance Sam travelled on the city road. The formula that would be used is the average speed formula. The average speed is the ratio of total distance travelled and the total time travelled.

Average speed = distance /time

average speed x time = distance

Distance = 35 x 1.5 = 52.50 miles

The second step is to determine the distance travelled on the highway.

Distance travelled on the high way = 140 - 52.50 = 87.50 miles

Now, determine the total hours travelled:

Hours travelled = distance / average speed

87.50 / 65 = 1.3 hours

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Answer: Sam traveled 1.3 hours.

Step-by-step explanation:

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from.

Answers

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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If a sample of 64 golfers is taken from a population of 190 golfers, the
sample mean, X, is the mean of how many golfers' scores?
A. 64
B. Neither 64 nor 190
C. 190
D. Both 64 and 190
SUBMIT

Answers

im going to guess B.

Explanation:
Its either tricky or I’m thinkin too hard on it, but I’m seeing that 64 golfers were TAKEN OUT the population of 190 golfers, so it can’t be either.

Answer:

64

Step-by-step explanation:

ITSSSS 64!!

you roll two fair dice, and record the number of dots facing upward on each die. what is the probability the sum of the two is even and at least one of the dice shows 5.

Answers

The probability that the sum of the two is even and at least one of the dice shows 5 is 1/18.

There are a total of 36 possible outcomes when you roll two dice, since each die has 6 possible outcomes.

To find the number of outcomes where the sum of the dice is even, we can divide the 36 outcomes into two groups: outcomes where the sum is even, and outcomes where the sum is odd. There are 18 even sums (2, 4, 6, 8, 10, 12) and 18 odd sums (1, 3, 5, 7, 9, 11). So the probability that the sum of the dice is even is 18/36, or 1/2.

Now, we need to find the number of outcomes where at least one of the dice shows 5. There are 4 outcomes where the first die shows 5 (5,5; 5,1; 5,2; 5,3) and 4 outcomes where the second die shows 5 (1,5; 2,5; 3,5; 4,5). There are also 4 outcomes where both dice show 5. However, we have counted each of these outcomes twice (once as an outcome where the first die shows 5, and once as an outcome where the second die shows 5). So we need to subtract these 4 outcomes from our total. This leaves us with a total of 8 outcomes where at least one of the dice shows 5.

So the probability that at least one of the dice shows 5 is 8/36, or 2/9.

Finally, we want to find the probability that the sum of the dice is even and at least one of the dice shows 5. Since these two events are independent (the fact that the sum is even does not affect the probability that one of the dice shows 5, and vice versa), we can find the probability of both events occurring by multiplying the probabilities of the individual events.

So the probability that the sum of the dice is even and at least one of the dice shows 5 is (1/2) * (2/9) = 1/18.

Therefore the answer is: 1/18.

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To detect a significant difference between two groups when the effect size is small, what should the researcher do?a. Conduct a pilot study. b. Obtain a different sample. c. Increase the sample size. d. Perform additional analysis.

Answers

When the effect size is small, detecting a significant difference between the two groups can be challenging. However, there are several options that a researcher can consider. One option is to conduct a pilot study.

A pilot study allows the researcher to test the study design and identify any potential issues that may affect the results. This can help the researcher refine the study design and increase the chances of detecting a significant difference between the two groups.

Another option is to obtain a different sample. This can be done by recruiting participants from a different population or by using a different sampling method. A different sample may have different characteristics that can increase the effect size and make it easier to detect a significant difference between the two groups.

Increasing the sample size is another option that can be effective in detecting a significant difference between the two groups. Larger sample size can increase the statistical power of the study, making it easier to detect small effect sizes.

Finally, performing the additional analysis can also be helpful in detecting a significant difference between the two groups. This can include using different statistical methods or analyzing the data in different ways to identify any potential patterns or trends. Ultimately, the best approach will depend on the specific research question, the characteristics of the sample, and the resources available to the researcher.

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}); if
A student is studying the wave different elements are similar to one w
Atem
NUMPA
199
Atem a
dices
Atom 2
NQ
Alam 4
Which two atoms are of elements in the same group in the periodic table?

Answers

The two atoms are of elements in the same group in the periodic table include the following: D. Atom 1 and Atom 2.

What is a periodic table?

In Chemistry, a periodic table can be defined as an organized tabular array of all the chemical elements that are typically arranged in order of increasing atomic number (number of protons), in rows.

What are valence electrons?

In Chemistry, valence electrons can be defined as the number of electrons that are present in the outermost shell of an atom of a specific chemical element.

In this context, we can reasonably infer and logically deduce that both Atom 1 and Atom 2 represent chemical elements that are in the same group in the periodic table because they have the same valence electrons of six (6).

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Complete Question:

A student is studying the ways different elements are similar to one another. Diagrams of atoms from four different elements are shown below.

Which two atoms are of elements in the same group in the periodic table?

}); ifA student is studying the wave different elements are similar to one wAtemNUMPA199Atem adicesAtom

help me out with this question..this is a k11..remember this is a practice question not a graded one

help me out with this question..this is a k11..remember this is a practice question not a graded one

Answers

Each flight has a probability of 60% or 0.6 of being on time. This means that its complement, or the probability that the flight isn't on time is:

\(\text{\textasciitilde{}P(on time)}=1-0.6=0.4\)

It is 40% or 0.4. "~P(on time)" stands for the probability of the flight not being on time.

1. The probability that at least 2 flights are on time is:

To find the probability that 2 or more flights are on time we can fight the probability that "0" or "1" are not on time.

\(P(0\text{ on time)}=0.4^9=0.000262144\)\(\begin{gathered} P(1\text{ on time})=\frac{9!}{1!\cdot(9-1)!}\cdot0.6\cdot(0.4)^8 \\ P(1\text{ on time)}=9\cdot0.6\cdot(0.4)^8=0.003538944 \end{gathered}\)\(\begin{gathered} P(1\text{ or less on time)}=P(0\text{ on time)}+P(1\text{ on time)} \\ P(1\text{ or less on time)}=0.000262144+0.003538944=0.003801088 \end{gathered}\)

The probability of 2 or more flights are on time is:

\(P(2\text{ or more on time)}\cdot=1-0.003801088=0.996198912\)

The probability of 2 flights or more are on time is 0.996198912

2.

We need to calculate the probabilities of 7,8 and 9 flights are on time and then subtract by 1.

\(\begin{gathered} P(7)=\frac{9!}{7!\cdot(9-7)!}\cdot0.6^7\cdot0.4^2 \\ P(7)=36\cdot0.6^7\cdot0.4^2=0.161243136 \end{gathered}\)\(\begin{gathered} P(8)=\frac{9!}{8!\cdot(9-8)!}\cdot0.6^8\cdot0.4 \\ P(8)=9\cdot0.6^8\cdot0.4=0.060466176 \end{gathered}\)\(P(9)=0.6^9=0.010077696\)

The probability of at most 6 flights are on time is:

\(\begin{gathered} P(6\text{ or less on time) = 1 - (}P(7)+P(8)+P(9)) \\ P(6\text{ or less on time) = 1-(0.161243136+0.060466176+0.010077696)=}0.768212992 \end{gathered}\)

The probability of 6 or less are on time is 0.768212992.

3.

The probability of exactly 5 flights are on time is:

\(\begin{gathered} P(5)=\frac{9!}{5!(9-5)!}0.6^5\cdot0.4^4 \\ P(5)=126\cdot0.6^5\cdot0.4^4=0.250822656 \end{gathered}\)

The probability of exactly 5 flights are on time is 0.250822656.

Write an equation of the parabola shown. (0,4) (-5, 1.5)

Answers

the general formula of a parabola is

\(y=ax^2+bx+c\)

we can replace the the points to find a,b and c

First (0,4)

\(\begin{gathered} 4=a(0)^2+b(0)+c \\ 4=0+0+c \\ c=4 \end{gathered}\)

Then (-5,1.5) and c=4

\(1.5=a(-5)^2+b(-5)+4\)

The graph shows the number of paintballs a machine launches, y, in x seconds: A graph titled Rate of Launch is shown. The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line. A line is shown connecting points on ordered pair 2, 12 and 4, 24 and 6, 36 and 8, 48. Which expression can be used to calculate the rate per second at which the machine launches the balls? (5 points) fraction 12 over 2 fraction 2 over 12 fraction 48 over 2 fraction 2 over 48

Answers

Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.

The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line

A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)

m=24-12/4-2

m=12/2

Hence,  fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

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A 95% confidence interval for the population mean is calculated as [40, 80]. The margin of error for this interval is _______.

Answers

The margin of error for this confidence interval is 20.

In a confidence interval, the margin of error represents the range around the sample mean within which we expect the true population mean to lie with a certain level of confidence.

To calculate the margin of error, we subtract the lower bound of the confidence interval from the upper bound and divide it by 2. In this case, the lower bound is 40 and the upper bound is 80.

Margin of Error = (Upper Bound - Lower Bound) / 2 = (80 - 40) / 2 = 40 / 2 = 20

Therefore, the margin of error for this confidence interval is 20. This means that we can be 95% confident that the true population mean falls within 20 units of the sample mean.

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sampling on campus. you see a woman student standing in front of the student center, now and then stopping other students to ask them questions. she says that she is collecting student opinions for a class assignment. explain why this sampling method is almost certainly biased.

Answers

Because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio ecconomic backgrounds.

What do you mean by sampling?

Sampling is the process of choosing the group from which you will actually collect data for your study. For instance, you could interview a sample of 100 students if you were examining the viewpoints of students at your university. With the help of sampling, you can test a statistical hypothesis on the features of a population.

According to the question,

A true sampling would be a mixed demographic group. A sampling from several like areas:

e.g. infront of the student store, infront of the regular store, infront if a food pantry, infront of ... or even better do a blind survey.

Because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio ecconomic backgrounds.

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X^2+4x+3
--------------
x^2-1


Reduce the above expression to its lowest terms

Answers

Answer:

your answer is 4x+4

Step-by-step explanation:

x^2-1) x^2+4x+3 (1

x^2 -1

(-) (+)

4x+4

quotiend is 1

remainder is 4x+4

Answer:

your answer is 7x/-1

Step-by-step explanation:

x^2 cancels out x^2

4+3=7

therefore your answer is 7x/-1

Which ordered pair is not a solution to the inequality y ≥ 2x2 − 4x + 2?

Answers

The ordered pair that is not a solution to the inequality y ≥ 2x² - 4x + 2 is given as follows:

(-1,6).

How to obtain which ordered pair is not a solution to the inequality?

The inequality is presented as follows:

y ≥ 2x² - 4x + 2.

Then for each pair, the numeric value is calculated, replacing x and y by it's respective coordinates, and when a false statement is generated, the ordered pair is not a solution to the inequality.

For the first ordered pair, (-1, 6), the numeric value of the inequality is given as follows:

6 ≥ 2(-1)² - 4(-1) + 2

6 ≥ 8.

Which is a contradiction, hence it is not a solution to the inequality.

For the pair (1,0), we have that:

0 ≥ 2(1)² - 4(1) + 2

0 ≥ 0.

Which is true, hence it is a solution.

For the pair (0,3), we have that:

3 ≥ 2(0)² - 4(0) + 2

3 ≥ 2

Hence it is also a solution.

For the pair (2,5), we have that:

5 ≥ 2(2)² - 4(2) + 2

5 ≥ 2

Hence it is also a solution.

Missing Information

The problem is given by the image shown at the end of the answer.

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Which ordered pair is not a solution to the inequality y 2x2 4x + 2?

Please see picture for question.

Please see picture for question.

Answers

Answer:

7

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7 ^ 1/5 ^ 5

7^ (1/5*5)

7^1

7

A bowl of fruit contains a 4: 1 ratio of blueberries to strawberries. There is a total of 65 berries in the bowl. How many of them are blueberries and how many are strawberries?

Answers

9514 1404 393

Answer:

52 blueberries13 strawberries

Step-by-step explanation:

There are a total of 4+1 = 5 ratio units, so each one stands for 65/5 = 13 berries.

  blueberries : strawberries = 4 : 1 = 52 : 13

There are 52 blueberries and 13 strawberries in the bowl.

The function f(x) is a cubie function and a limited table of values is provided below. Write the equation of the cubic polynomial in standard form.

The function f(x) is a cubie function and a limited table of values is provided below. Write the equation

Answers

The required cubic polynomial is

f(x) = \(-2x^3-2x^2-28x+48\)

What is a polynomial?

An algebraic expression of the form \(a_0 + a_1x+ .... + a_nx^n\) (\(a_0 \neq 0\)) is called a polynomial of degree n.

The zeroes of the cubic polynomial are -4, 2, 3

Let the cubic polynomial is

f(x) = a(x - (-4))(x - 2)(x - 3)

f(x) = a(x + 4)(x - 2)(x - 3)

If x = -5, f(x) = 112

112 = a(-5 + 4) (-5 - 2)(-5 - 3)

112 = -56a

a = \(-\frac{112}{56}\)

a = -2

f(x) = -2(x+ 4)(x - 2)(x - 3)

\(f(x) = -2(x+ 4)(x^2 -3x -2x +6)\\f(x) = -2(x + 4)(x^2 - 5x + 6)\\f(x) = -2(x^3 - 5x^2+4x^2+6x - 20x+24)\\f(x) = -2(x^3 - x^2 - 14x +24)\\f(x) = -2x^3 -2x^2 - 28x + 48\)

(x +4)(x - 2)(x - 3)

To learn more about polynomial refer to the link-

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Determine if the two triangles are congruent. If they are, state how you know

Determine if the two triangles are congruent. If they are, state how you know

Answers

Answers:Congruent by SSSCongruent by SASNot congruent (or not enough info to know either way)Congruent by SASCongruent by SSSNot congruent (or not enough info to know either way)Congruent by SASCongruent by SAS

==================================

Explanations:

We have 3 pairs of congruent sides. The tickmarks tell us how the congruent sides pair up (eg: the double tickmarked sides are the same length). So that lets us use SSS. The shared overlapping side forms the third pair of congruent sides.We have two pairs of congruent sides (the tickmarked sides and the overlapping sides), and an angle between the sides mentioned. Therefore, we can use SAS to prove the triangles congruent.We don't have enough info here. So the triangles might be congruent, or they might not be. The convention is to go with "not congruent" until we have enough evidence to prove otherwise. We can use SAS like with problem 2. Vertical angles are always congruent.This is similar to problem 1, so we can use SSS here.There isn't enough info, so it's pretty much a repeat of problem 3Same idea as problem 4.Similar to problem 2. We have two pairs of congruent sides and an included angle between them allowing us to use SAS

The abbreviations used were:

SSS = side side sideSAS = side angle side

The order is important with SAS because the angle needs to be between the sides mentioned.

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