Answer:
If you don't have equations where you can eliminate a variable by addition or subtraction you directly you can begin by multiplying one or both of the equations with a constant to obtain an equivalent linear system where you can eliminate one of the variables by addition or subtraction.
Step-by-step explanation:
6 lb 3 oz − 2 lb 7 oz =
(b) What is the slope of y = -2x and what does this mean?
Answer:
The slope is up 2, left 1. The slope is negative, meaning the graphgoes from left to right.
Step-by-step explanation:
A square has a side length 9 cm.
What is its area?
area of square = s×s
9×9
81cm²
hope it helps...!!!
Answer:
81 cm^2
Step-by-step explanation:
A square is a 2d shape with side lengths all the same.
To find the area, all you need is one side length, which is 9cm in this case.
Then you just square the number (9 x 9) to get 81 cm^2 (centimetre squared).
Last year Kerry's take home pay was $15 000. She spent of her take
home pay on rent. She used the rest of her take home pay for living
expenses, clothes and entertainment in the ratio 3:1:2 How much did
Kerry spend on entertainment last year?
Answer:
3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.
Linnea has drawn a line from one corner of a rectangle to the opposite corner. The line divides each of the right angles into two angles of measures 32° and 58°. Which statement best describes the resulting triangles?
The two triangles are not congruent because the corresponding sides do not have the same length.
The two triangles are congruent but are oriented differently.
The two triangles may be congruent, but additional information is needed about the angle measures.
The two triangles may be congruent, but additional information is needed about the side lengths.
Answer:
d
Step-by-step explanation:
Please help me, it’s small please
PLEASE HELP ILL MARK U BRAINLIEST
Answer:
I think that it is zy.
Step-by-step explanation:
I believe this because x angle is 100 degrees while y angle is 50 degrees. Z is still unknown, but since y is the smallest number of the 2 angles we do know, I think that it is safe to asume that zy is the shortest side.
Help fast what equation is equivalent
\(D\)
\(3y=2x-18 \iff 2x-3y = 18\)
Answer:
D
Step-by-step explanation:
y = \(\frac{2}{3}\) x - 6 ( multiply through by 3 to clear the fraction )
3y = 2x - 18 ( subtract 2x from both sides )
- 2x + 3y = - 18 ( multiply through by - 1 )
2x - 3y = 18 → D
Help please.
Algebra.
if each of the 4 stacks of bills contains a $100 bill and all the rest of the bills are $20. How many $20 bills are there?
Answer:
5
Step-by-step explanation:
Because, you have to divide the $20 by the $100
please help, thank you guys
Step-by-step explanation:
1) 165⁰
2) 180⁰
Note:FOR initial temperature check the temperature at t=0
I hope it helped you
Two similar pyramids have base areas of 12. 2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2. What is the surface area of the smaller pyramid? 40. 1 cm2 42. 7 cm2 52. 2 cm2 59. 8 cm2.
If the surface area of the larger pyramid is 56 cm², the of the smaller pyramid is approximately 42.7 cm².
To solve this problem, we can use the fact that the surface area of a pyramid is proportional to the square of its scale factor (ratio of corresponding side lengths) and the base area is proportional to the square of its scale factor.
Let the scale factor between the larger and smaller pyramid be x. Then, we have:
x² = 16/12.2
x = sqrt(16/12.2) = 1.143
This means that the corresponding side lengths of the smaller pyramid are 1.143 times smaller than those of the larger pyramid.
The surface area of the smaller pyramid can be found using:
(surface area of larger pyramid) / (base area of larger pyramid) = (surface area of smaller pyramid) / (base area of smaller pyramid)
56/16 = (surface area of smaller pyramid) / 12.2
(surface area of smaller pyramid) = 56/16 * 12.2 = 42.7
Therefore, the surface area of the smaller pyramid is approximately 42.7 cm².
More on surface area: https://brainly.com/question/1503383
#SPJ11
find the range of the function f(x)=2x+4
Answer:
(0,4)
Step-by-step explanation:
this is highest and only Y intercept. the range of a graph is all of the Y intercepts. and the domain of a graph is all of the x-intercepts
Find the surface area of a sphere with radius r=5 in.
Answer:
314.16 in²
Step-by-step explanation:
The surface area of a sphere has a formula.
4πr²
Where r is the radius of the circle.
4π × 5²
4π × 25
100π
= 314.159265
Answer:
314.16
Step-by-step explanation:
formula=4*pi*r^2
how to find p value from t statistic on ti-84
Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.
To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.
Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.
To know more about probability visit :
https://brainly.com/question/13604758
#SPJ11
What is the absolute value of -90?
Answer: 90
Step-by-step explanation:
Answer:
The absolute value of -90 is 90
Step-by-step explanation:
-90 is 90 away from 0.
Which of the following is a limitation of using statistical significance to differentiate between meaningful and trivial change
Statistical significance is a valuable tool for analyzing data and determining if a change is likely to be meaningful.
However, it does have limitations. One limitation is that statistical significance does not measure the size or practical importance of the change. A statistically significant change may still be too small to be practically meaningful. Additionally, statistical significance does not consider the context or relevance of the change.
It only tells us if the observed difference is likely due to chance or if there is a true effect. Therefore, it is important to consider other factors, such as effect size and practical significance, when interpreting statistical significance.
To know more about valuable tool visit:
https://brainly.com/question/32347552
#SPJ11
S=26.32 E=55 t=3 standard diviation=60% 3-year r=2.4% 10-year
r=3.1%
What minimum value would you assign? What isthe maximum value
you would assign?
For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.
To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.
Given:
S = 26.32 (Initial value)
E = 55 (Expected value)
t = 3 (Years)
Standard deviation = 60% (of the expected value)
3-year interest rate = 2.4%
10-year interest rate = 3.1%
To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.
Minimum value calculation:
Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22
Therefore, the minimum value we would assign is 22.
To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.
Maximum value calculation:
Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88
Therefore, the maximum value we would assign is 88.
For more details about standard deviation
https://brainly.com/question/13498201
#SPJ4
A square has side lengths as shown in the picture and a perimeter of 54.8 centimeters. Write an equation to find the value of x
The value of x is 10.7 cm and an equation that finds the value of x is 4(x + 3) = 54.8. By using the perimeter of a square, the required equation is evaluated.
How to find the perimeter of a square?A square has 4 sides with equal lengths. We know that the perimeter is the total circumference of the shape. So, if the length of the square is 'a' then its perimeter is 4a.
Calculation:It is given that, the length of the square a = x + 3 cm
The perimeter of the square 4a = 54.8 cm
Thus, on substituting the 'a' value into the perimeter, we get
4(x + 3) = 54.8
This is the required equation that finds the value of 'x'.
and on simplifying the obtained equation, we get
4x + 12 = 54.8
⇒ 4x = 54.8 - 12 = 42.8
∴ x = 42.8/4 = 10.7 cm
Learn more about the perimeter of a square here:
https://brainly.com/question/25092270
#SPJ1
Jose's ball is stuck on the roof of his home, which is 8 feet high. He wants to use a ladder to climb up and get his ball. If he sets the base of the ladder 6 feet away from his home, what is the minimum length that the ladder can be? Explain how you solved this question using context and at least three sentences. Hint: Draw your the scenario and label given values.
Answer:
10 feet
Step-by-step explanation:
It becomes a right-angled triangle with height of 8feet and base of 6feet.
Using Pythagoras theorem:
a² = b² + c²
a² = 8² + 6²
a² = 64 + 36
a² = 100
a = √100
a = 10
A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The length of the ladder is 9 feet. Find to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground.
Answer:
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a right triangle to represent the situation:
|\
| \
h | \ 9 ft
| \
| \
| \
-------
6 ft
Here, h represents the height on the wall where the ladder touches. We want to find the angle of elevation θ.
Using the right triangle, we can write:
sin(θ) = h / 9
cos(θ) = 6 / 9 = 2 / 3
We can solve for h using the Pythagorean theorem:
h^2 + 6^2 = 9^2
h^2 = 9^2 - 6^2
h = √(9^2 - 6^2)
h = √45
h = 3√5
So, sin(θ) = 3√5 / 9 = √5 / 3. We can solve for θ by taking the inverse sine:
θ = sin^-1(√5 / 3)
θ ≈ 37.5 degrees
Therefore, to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground is 37.5 degrees.
On friday, 84% of the people who went to a cafe and ordered coffee. there were 325 people who went to the cafe. how many of these 325 customers bought coffee?
geometry, is this answer correct?
Answer: yes, the value of x is 4 and angle HEB is 36 degrees
Step-by-step explanation:
1a. Find the value of angle CEB
Given that line segment AB and line segment EC are perpendicular you know they are right angles and therefore are equal to 90 degrees
2a.set up an equation
After noticing that angle CEB is 90 degrees you know that angle HEB+CEH=90 degrees: 13x+9x+2
3a. Solve the equation
13x+9x+2=90
22x+2=90 | combine like terms
22x=88 | subtract 2 from both sides
x=4 | divide by 22 on both sides
1b. Set up equation
Knowing x=4 and that angle HEB is 9x the equation is 9(4)
2b. Solve the equation
9(4)
36
The length of a rectangle is twice the width. The area of the rectangle is 66 square units. The rectangle is _ units long and _ units wide
the burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. find the number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles. use excel, and round your answer to two decimal places.
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.
When the distribution is normal, we use the z-score formula.
In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:
Z = (X – µ) / σ
What is Z-score?The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
So, in this case, given that:
µ = 249, σ = 20
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:
100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.
Now, put all the values into the formula:
Z = (X – µ) / σ
–0.253 = (X – 249) / 20
X – 249 = –0.253 * 20
X = 244
Hence, the candle burns for 244 minutes.
Learn more about z-score at: https://brainly.com/question/15016913
#SPJ4
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
uhhhhhhh
Step-by-step explanation:
Answer:
about 314 units
Step-by-step explanation:
i was confused but i hope this helps
0=(x-8)^2-100 Solve the problem using any type of way.
0 = (x-8)^2 -100
Add 100 to both sides
100 = (x-8)^2
Take the square root of both sides
10 = (x-8)
Remove the parentheses
10 = x-8
Add 8 to both sides
18 = x
Answer: x = 18
A fitted linear regression model is y=10+2x . If x = 1 and the corresponding observed value of y = 11, the residual at this observation is:
+1
-1
0
-2
Since, a fitted linear regression model is y=10+2x . If x = 1 and the corresponding observed value of y = 11,he residual at this observation is -1.
To calculate the residual at a given observation in a linear regression model, you subtract the predicted value of y from the observed value of y.
In this case, the observed value of x is 1 and the corresponding observed value of y is 11. The linear regression model is given by y = 10 + 2x.
Let's calculate the predicted value of y using the given x value:
y_ predicted = 10 + 2(1) = 10 + 2 = 12
Now we can calculate the residual:
residual = observed value of y - predicted value of y
residual = 11 - 12
residual = -1
Therefore, the residual at this observation is -1.
To learn more about regression :
brainly.com/question/29753986
#SPJ11
Hello! Just want to confirm my answers, the rubric is linked below as well. Thank you!
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given equation for explicit formula
\(\begin{gathered} a_n=a_1\cdot r^{n-1} \\ where\text{ }a_1\text{ is the initial count\lparen first term\rparen} \\ r\text{ is the common ratio} \\ n\text{ is the number of years} \end{gathered}\)STEP 2: Write the given details
\(\begin{gathered} a_1=9000 \\ r=1+\frac{69}{100}=1.69\text{ since it is a growth rate} \\ \\ Hence,the\text{ equation is given as:} \\ a_x=9000(1.69)^{x-1} \end{gathered}\)STEP 3: Get the explicit equation for f(n)
n = x
Substitute n for x in the equation in step 2.
Therefore, the explicit equation is given as:
\(f(n)=9000\cdot(1.69)^{n-1}\)STEP 4: Answer part B
To get how many lionfish in the bay after 6 years
\(\begin{gathered} From\text{ equation above,} \\ n=6 \\ f(6)=9000\cdot(1.69)^{6-1} \\ f(6)=9000\cdot1.69^5 \\ f(6)=9000\cdot13.78584918 \\ f(6)=124072.6427 \\ f(6)\approx124073 \end{gathered}\)Hence, there will be approximately 124073 lionfish
STEP 5: Get the recursive formula
1400 lionfish was removed per year, this gives an equation defined below:
Recursive formula is given as
\(a_n=r(a_{n-1})\)Since we know that the difference each year is 1400, this gives the equation below:
\(a_n-1400\)By substitution, the recursive formula will be given by:
Since 1400 is removed each year, we have:
\(\begin{gathered} f(n)=a_{n-1}-1400n \\ f(n)=9000\cdot(1.69)^{n-1}-1400n \end{gathered}\)Which derived character is placed immediately after that group on the cladogram?
Answer:
Step-by-step explanation:
One that has the next least in common with the rest.