The quotient is -58x2 + 131x - 234 with a remainder of -5898.To solve this problem, we need to use long division. The dividend is 223 + 3x2 + 5x - 4 and the divisor is 22 + 2 + 1, which simplifies to 25.
We start by dividing 2 into 22, which gives us 11. We then write 11 above the 2 and multiply it by 25, which gives us 275. We subtract 275 from 223, which gives us -52. We bring down the 3, which gives us -523. We then repeat the process by dividing 2 into 52, which gives us 26. We write 26 above the 5 and multiply it by 25, which gives us 650. We subtract 650 from -523, which gives us -1173. We bring down the 1, which gives us -11731. We divide 2 into 117, which gives us 58.
We write 58 above the x and multiply it by 25, which gives us 1450. We subtract 1450 from -1173, which gives us -2623. We bring down the -4, which gives us -26234. We divide 2 into 262, which gives us 131. We write 131 above the 5 and multiply it by 25, which gives us 3275. We subtract 3275 from -2623, which gives us -5898. Therefore, the quotient is -58x2 + 131x - 234 with a remainder of -5898.
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please help only answer if you're sure it right
(B)
is my answer..........
Answer:
I think b is correct answer
Step-by-step explanation:
is correct answer
in desperate need of help!
Answer:
y=24
Step-by-step explanation:
Straight line = 180°
collect like terms.
7y+12=180°
-12. - 12
7y=168°
÷7. ÷7
y=24
Answer:
y is equal to 24
Step-by-step explanation:
above picture
Simplifying positive expressions in multiplication.
Simplify.
Simplify.
(w4)^5
Write your answer without parentheses.
Answer:
(w⁴)⁵
=w⁴*⁵
Answer=w²⁰
Solve the following equation to find the exact value of x. Give your answer as a decimal.
X/9= 2(7x + 8)
Answer:
-1.15 or -1.2
Step-by-step explanation:
\(\frac{1}{9} x= 14x +16\\\frac{1}{9} x-14x=16\\-\frac{125}{9} x=16\\x=-1.152\)
1,000,000,000,000,000,000,000+1,111,111,111
Answer:
1,000,000,000,000,001,111,111
Alice used the following steps to solve the equation...
Look at the Screen Shot ∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨∨
The solution to the linear equation is determined as 5.
What are the steps of solving the equation?
The equation to solve is:
3x - 8 = 7
To solve for x, you can follow these steps:
Step 1: Add 8 to both sides of the equation to isolate the term with x on one side:
3x - 8 + 8 = 7 + 8 (combine constants here)
This simplifies to:
3x = 15
Step 2: Divide both sides of the equation by 3 to solve for x:
3x/3 = 15/3
This simplifies to:
x = 5
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ANOVA
printers (significance level=0.05). [30\%] (c) State two assumptions that are necessary in order for the above ANOVA to be valid. \( [20 \%] \) (d) The company uses leaflets that are of four different
(c) Two assumptions necessary for the validity of the ANOVA are:
1. Independence: The observations within each group and between groups should be independent of each other. This means that the value of one observation should not be influenced by or related to the value of another observation.
2. Homogeneity of variances: The variances within each group should be roughly equal. This assumption, also known as homoscedasticity, ensures that the variability in the dependent variable is similar across all groups.
(d) The company uses leaflets of four different designs to promote its printers. To assess the impact of leaflet design on sales, an ANOVA is performed. The null hypothesis states that the mean sales are equal across all leaflet designs, while the alternative hypothesis suggests at least one mean is different.
By comparing the computed F-statistic with the critical F-value at a significance level of 0.05, the ANOVA determines whether there is sufficient evidence to reject the null hypothesis. If the p-value is less than 0.05, it indicates a significant difference among the leaflet designs.
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Use the drop-down menus to explain if the two figures below are congruent, similar,
or neither. If the figures are similar, state the scale factor.
N
W
12
11
의
10 Y
104
87
4NW24
À m ỗ có có ý đi ch đó có nó nh
-3
-8
-9
-12-11-10-9-8-7-6-5-4-3-2-1-₁ 1 2 3 4 5 6 7 8 9 10 11 12
-10
-11
O
-12
L
X
N
M
The given quadrilaterals are not congruent but are similar and have a scale factor of \(\frac{1}{3}\).
What are Congruence?Congruent figures are figures where one of the figure's sides and angles are equivalent to other figure's corresponding sides and angles.
Clearly, the quadrilateral are not congruent because their size is not equal. Quadrilateral WXYZ is bigger than quadrilateral LMNO.
Similar triangles are triangles which are of same shape. There is no need for the same size.
So the given triangles are similar.
Here the coordinates of quadrilateral LMNO are L (1, 2), M (4, 2), N (3, 3) and 0 (1, 3).
LM = √[(4 - 1)² + (2 - 2)²] = 3
MN = √[(3 - 4)² + (3 - 2)²] = √2
N0 = √[(1 - 3)² + (3 - 3)²] = 2
OL = √[(1 - 1)² + (2 - 3)²] = 1
Coordinates of the quadrilateral WXYZ are W (-6, 6), X (3, 6), Y (0, 9) and Z (-6, 9).
WX = √[(3 - -6)² + (6 - 6)²] = 9
XY = √[(0 - 3)² + (9 - 6)²] = √18
YZ = √[(-6 - 0)² + (9 - 9)²] = 6
ZW = √[(-6 - -6)² + (6 - 9)²] = 3
Now, \(\frac{LM}{WX}\) = \(\frac{MN}{XY}\) = \(\frac{NO}{YZ}\) = \(\frac{OL}{ZW}\) = \(\frac{1}{3}\)
Hence the figure shown here are similar and the scale factor is \(\frac{1}{3}\).
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Solve -4(3x – 7) = 40 for x.
A survey of 400 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. Suppose that based on the survey, 220 of the 400 students responded "yes."
a. What is the value of the sample proportion?
b. What is the standard error of the sample proportion?
c. Construct an approximate 95% confidence interval for the true proportion.
The value of the sample proportionThe sample proportion is the percentage of individuals in a sample who have the attribute of interest. As a result, the sample proportion is computed by dividing the number of students who answered "yes" by the total number of students surveyed.
Here's the computation:Sample proportion= 220/400= 0.55Therefore, the sample proportion is 0.55.b. The standard error of the sample proportionThe standard error of the sample proportion can be determined using the following formula:Standard error of Standard error of the sample proportion= √[(0.55 * 0.45)/400]= √(0.00061875)= 0.0249Therefore, the standard error of the sample proportion is 0.0249.c. Constructing an approximate 95% confidence interval for the true proportion
A confidence interval is a range of values around a sample statistic, such as the sample proportion, that is expected to contain the true value of the population parameter with a certain degree of confidence. A 95 percent confidence interval implies that we are 95 percent certain that the true population parameter is within the specified interval.Let's first compute the margin of error:Margin of error= z* √[(p*q)/n]wherez= critical value of the standard normal distribution for a 95% confidence level= 1.96Margin of error= 1.96* √[(0.55*0.45)/400]= 0.0487Therefore, the margin of error is 0.0487. Now that we have the margin of error, we can construct the confidence interval using the following formula:Confidence interval= sample proportion ± margin of error= 0.55 ± 0.0487= (0.5013, 0.5987)Therefore, an approximate 95 percent confidence interval for the true proportion is (0.5013, 0.5987).
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Your phone plan cost $34.99 per month plus $.16 for each text message you sent receive. You have at most $40 to spend on your phone bill what is the maximum number of text messages that you can send receive next month
Answer:
250 messages
Step-by-step explanation:
Cost per message: $0.16
Maximum bill: $40
Maximum # of messages = $40/$0.16 = 250 messages
What is a parabola parent function?
The parent function of a parabola is y = x².
A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.
The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.
Its graph passes through the origin (0,0) and lies in first and second quadrant.
One or more parabolas can be easily obtained by transforming the parent function of the parabola.
Therefore, the parent function of parabola is given by y = x².
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i need help with this
Answer:
c) x+y=35 10x+7y=266
Step-by-step explanation:
I need help with the table!Algebra 2
Answer:
Step-by-step explanation:
A company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". Which of the following statements is true? She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The rcent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:
S(n) = 70000(1.2)
S(n) = 84000
The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)
S(1) = 84000
The percent increase of her salary is: S(n) = 70000(1.2)n
S(n) - S(n-1) / S(n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = 20%
Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.
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Which graph best represents the solution to this system of inequalities?
A.
B.
C.
D.
Answer:
letter A po
Step-by-step explanation:
thanks for brain less
Express in the form n:1
12:2
Answer:
6:1
Step-by-step explanation:
The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .
1. Write the absolute value inequality in the form x−b≤c or x−b ≥c that has the solution set −1≤x≤3.
2.Write the absolute value inequality in the form x−b≤c or x−b≥c that has the solution set x≤−9 or x≥−5.
WILL BE MARKED BRAINLEIST!
Answer:
1. We want to write an equation in the form:
Ix - bI ≤ c
Such that the solutions are the range −1 ≤ x ≤ 3
First, the extremes of the range are: - 1 and 3
Half of the difference between these values is:
m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2
Now let's go to the lower extreme, and add this value, we get:
-1 + m = -1 + 2 = 1
(if we go to the upper value and we subtract m, we get the same)
This is the mid-value of the solution interval, and we will define it as M
We now can write the absolute value inequality as:
I x - MI ≤ m
In our case, we get:
Ix - 1I ≤ 2
2.
Now we want to have the solution set given by:
x ≤ -9
x ≥ -5
In this case, we will have an equation of the form:
Ix - MI ≥ m
(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).
So let's do the same than in the above case:
m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2
M = -9 + 2 = -7
Replacing these in the absolute value inequality we got:
Ix - (-7)I ≥ 2
Ix + 7I ≥ 2
I need help a,b,or c
Answer:
B, 150
Step-by-step explanation:
use pythagorean theorem, the sides of the triangle are 120 and 90, so when u square them and add them together, you get 120^2 +90^2 = 22500
square root 22500 to find the hypotanuse which is the length from one corner to another. the anwser is 150m which is b
Emma wrote the expression 2(3w-6) to represent the amount of money that Juan spent. Is she correct? Explain
Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.
2(3w-6) = 6w - 12
2(3w-6)
2 • (3w - 6)
2 • 3w - 2 • 6
6w - 12
The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.
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Joe started 125 miles in 5 hours. How many miles would travel in 1 hour
Answer:
Hope this helps :D
Step-by-step explanation:
Explanation on picture
Thomas is drawing a map of his city's walking trails. On the map, 5 cm is equal to 2 miles. If a trail is 22.5 cm on the map, how long is the trail in real-life?
Answer:
9 miles
Step-by-step explanation:
Given that :
Given that:
On map:
5cm = 2 miles
If a map trail = 22.5cm
Length of trail in real life :
(22.5 cm / 5cm) * 2miles
4.5 * 2 miles = 9 miles
The trail is 9 miles in real life
2x^2-5x-3=0 ? im working on factoring and im not sure how to solve this
Answer:
\(x = - \frac{1}{2} \)
\(x = 3\)
Step-by-step explanation:
hope it helps you
have a wonderful day
can someone please help. im running low on points.
Answer:
i think it's:: -6 11/21
Answer:
-6 11/21
Step-by-step explanation:
What are the values of x and y, in the given figure?
I'll give brailiest to the first response
Answer:
y = 52
x = 5
Step-by-step explanation:
Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )
This meaning that their opposite angles are also congruent
Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C
Hence ∠A ≅ ∠C
And because ∠A = 52°, ∠C also equals 52°
Hence y = 52°
Now we want to find x
We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180
so...
180 = 14x + 6 + 52 + 52
now we solve for x
step 1 combine like terms
52 + 52 + 6 = 110
now we have 180 = 110 + 14x
step 2 subtract 110 from each side
180 - 110 = 70
110 - 110 cancels out
now we have 70 = 14x
step 3 divide each side by 14
14x/14 = x
70 / 14 = 5
we're left with x = 5
Service cable mounted in contact with a building must be supported at intervals not exceeding _____.
a) 4 ft. b) 3 ft. c) 30 in. d) 24 in.
The correct option a) 4 ft. , Service Cable that is attached to a building must be sustained at intervals no greater than 4 ft..
Explain the term service cable?Service cables mounted in close proximity to a building must be supported at no more than four-foot intervals.
The cables must be held in place firmly and uniformly distributed weight and strain must not be placed on the cables.Additionally, it stops the wires from sagging and drooping with time, which could increase the chance of harm or breakage. The wires need to be properly supported in order to avoid rubbing against it or coming into touch with other items, which can lead to wear and tear or even electrical dangers. To prevent cables from becoming twisted or knotted, appropriate support is also required.Thus, service cable that is attached to a building must be sustained at intervals no greater than 4 ft.
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The following data was experimentally obtained on the concentration (g/L) of albumin in two selected groups of
people:
Group I: 38.36, 39.61; 39.17, 38.82, 39.31, 38.82
Group II: 37.39, 37.47, 37.49, 37.47, 37.40; 37.46, 37.62
A two-tailed t-test (P=0.05) based on this data should lead to this conclusion regarding the mean albumin
concentrations in the two selected groups of people:
a. The two means do not differ significantly
b. Not enough data to draw a conclusion
c. The two means differ significantly
d. None of the above
answer is "C", please explain WHY!
The two-tailed t-test with a significance level (P-value) of 0.05 leads to the conclusion that the mean albumin concentrations in the two selected groups of people differ significantly (option c).
In the t-test, we compare the means of two groups and determine if the observed difference is statistically significant. A significance level of 0.05 means that we have a 5% chance of observing such a difference by chance alone.
By conducting the t-test on the given data, we calculate the t-value and compare it to the critical t-value at the chosen significance level. If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that the means differ significantly. In this case, the t-test indicates that the mean albumin concentrations in the two groups differ significantly, leading to the conclusion of option c.
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Question 5
What is the equation of the line?
У.
y = 2x - 4
ya
=
1
y = -x + 2
y = 2x + 2
Answer:
please see the picture
Step-by-step explanation:
Suppose a coin is flipped five times and turns up heads each time. What is the probability that the next coin clip will yield a head
The probability that the next coin flip will yield a head is 50%, as each coin flip has an equal chance of landing either heads or tails.
The Importance of Understanding Probability in Everyday LifeProbability is an incredibly important concept to understand in our everyday lives. Understanding probability helps us make informed decisions about the chances of something happening. For example, when playing a game of chance, understanding probabilities can give us a better idea of the likelihood of winning or losing. Knowing the probability of an event happening can also help us make decisions in other areas of life, such as investing.
In the context of coin flipping, it is important to remember that the probability of a coin landing on heads or tails is always 50%. This means that no matter how many times the coin is flipped and no matter what the previous outcome, the probability of the next flip being heads or tails remains the same. This concept is the basis of probability theory, which can be applied to many other areas of life.
Understanding probabilities is also useful in understanding the chances of certain events occurring in the world. For example, understanding the probability of an earthquake happening in a certain area can help us make decisions about where to live or how to prepare for a potential disaster. Similarly, understanding the probability of a successful business venture can help us decide whether or not to invest in it.
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Help please I'll give brainlist!!!!
Answer: 6 plus -10 equals negative 4
Step-by-step explanation: