Answer:
1. h = 900/b
2. 36
Step-by-step explanation:
The area of a rectangle is given by:
A = length x width
In this case, we know that the area of the pet door is 900 square centimeters, so we can write:
900 = h x b
To solve for the height in terms of the width, we can divide both sides by b:
h = 900/b
Now, if the base of the pet door is 25 centimeters wide, we can substitute b = 25 into the equation above to find the height:
h = 900/25 = 36
Therefore, the height of the pet door would be 36 centimeters if the base is 25 centimeters wide.
Differentiate y=x4 -x
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
Find m/CAD.
A. 55°
B. 125°
C. 110°
D. 35°
A
B
55°
D
C
Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)
Answer:
Answer by Yi Jing
Step-by-step explanation:
Please explain how to do the equation to get 10 units.
9514 1404 393
Answer:
the equation comes from setting expressions for the perimeters equal to each other
Step-by-step explanation:
Each of the relations is described in terms of the shortest side of the triangle, which is what we're asked to find. It makes sense to let a variable represent that length.
shortest triangle side: s
each of the other two sides: s+1
perimeter of the triangles: s +(s+1) +(s+1) = 3s+2
__
side length of square: s-2
perimeter of square : 4(s -2) = 4s -8
__
The two perimeters are equal, so we have ...
3s +2 = 4s -8 . . . . . your equation
10 = s . . . . . . . . . . . add 8-3s
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
Round 56.28 to the nearest ten
A.50
B 56
C 56.3
D 60
E none of these
Isn’t the answer D 60
Answer:d
Step-by-step explanation:
A nurse has an annual income of $52,175. The income tax the nurse must pay is 9%. What is the amount of income tax in dollars and cents that the nurse must pay?
Answer:
The amount of income tax in dollars and cents is $4,695.75
Step-by-step explanation:
To find the amount of income tax that should be paid, we simply use the percentage said to be for the income tax
Mathematically;
income tax = 9% of 52,175
= 9/100 * 52175
= $4695.75
The income tax to be paid on the income is $52,175
Answer:4695.75
Step-by-step explanation:
Well if u made 52175 a whole then put 9 as a percentage you would cross multiply 52175 with 9 then divided with the whole percentage (100)
When you board a Ferris wheel your feet are about 1 foot off the ground.
At the highest point of the ride, your feet are 99 feet above the ground. It
takes 30 seconds for the ride to complete one full revolution. Write a
trigonometric equation for your height above the ground at t seconds after
the ride starts. Find two times when you are 90 feet above ground.
Answer:
you would take 14 secs lol hahaha
Step-by-step explanation:
-8 X-3x = -6 + 5 x
How to solve
Answer:
x = 7
Step-by-step explanation:
3x-5=x+9 (Adding 5 and -x to both signs of = Sign)
2x = 14
x = 7
What is the best estimate for the value of the expression?
34
8
16
3
14
9.
-3
-21
O7
Answer: 8 is the anwser
Step-by-step explanation:
You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of $1,249 with a very narrow standard deviation of $25. You find a website that has a price comparison for the same computer at a series of stores as follows:
$1,298; $1,229.96; $1,193.07; $1,279; $1,224.98; $1,229.97; $1,269.98; $1,248.
Can you argue that pricing has a larger standard deviation than claimed by the manufacturer?
Answer:
We fail to reject the null
Step-by-step explanation:
Given the data: 1298; 1229.96; 1193.07; 1279; 1224.98; 1229.97; 1269.98; 1248
Mean price, μ = 1249
Standard deviation, σ = 25
Variance, σ² =
Null hypothesis, H0 : σ² = 25²
Alternative hypothesis, H1 : σ² > 25
Using calculator, the sample standard deviation :
Sample standard deviation = s = 34.072
Sample size, n = 8
For chi² distribution :
X² = [(n - 1)s²] ÷ σ²
X² = [(8 - 1)*34.072^2] ÷ 25^2
X² = (7 * 1160.901184) / 625
X² = 13.002093
Using the Pvalue from Chisquare calculator, df = 8 - 1 = 7; α = 0.05
Pvalue =0.07206
0.07206 > 0.05
Since , Pvalue > α
We fail to reject the null; there is insufficient evidence to conclude that standard devuatue do selling a computer is greater than 25
evaluate the expression 3.14 (a2+ab) when a equals 3 and b equals 4.
Answer:
I get 65.94
Step-by-step explanation: 6 15 19 11
3.14 (a²+ab) when a equals 3 and b equals 4
3.14 (a²+ab) when a equals 3 and b equals 4
3.14 (3²+3b) when a equals 3 and b equals 4
3.14 (a²+ab) when a equals 3 and b equals 4
3.14 (3²+3×4) when a equals 3 and b equals 4
3.14 (3²+3×4)
3.14 (9+12)
3.14 (21)
3.14 × 21 = 62.8 + 3.14 = 65.94
The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s statistics classes.
2 boxplots. A number line labeled quiz grades goes from 12 to 30. For class 1, there are points at 12, 14, 15, and 16. The whiskers range from 20 to 30, and the box ranges from 23 to 27. A line divides the box at 25. For class 2, the whiskers range from 22 to 30, and the box ranges from 25 to 28. A line divides the box at 26.
Which statement best compares the variability of the quiz scores for the two classes?
The quiz grades for class 1 have more variability than the quiz grades for class 2.
The quiz grades for class 1 have less variability than the quiz grades for class 2.
The quiz grades for class 1 are not as spread out as the quiz grades for class 2.
The quiz grades for class 1 are higher, on average, than the quiz grades for class 2.
Answer:
C, Class 2 performed better because their median score is higher than the median score for class 1.
Bryce made a scale drawing of a shopping center. The scale of the drawing was
1 inch : 4 feet. A bakery in the shopping center is 10 inches in the drawing. How wide is the
actual bakery?
Answer:
I'm pretty sure the answer is 40.
Step-by-step explanation:
1:4 meaning
1-10 inches
10 x 4 equals 40ft.
Because of the scale being 1:4 .
If x varies directly as y, and x = 30 when y = 6, find x when y = 9.
x= ?
d
9. Jamal is asked to draw a circle. He is given the center and two points on the
circle, but he isn't told which point is which. The points are (-4, 7), (3, 6), and
(-1,3). Jamal draws the accurate circle from this information.
What is the equation of the circle he draws?
A. (x + 4)2 + (y-7)= 50
B. (x - 3)2 + (y - 6) = 50
C. (x - 3)2 + (y - 6)= 25
D. (x + 1)2 + (y - 3)= 25
Answer: Here is the answer! This is the answer I saw on the web. Sorry if this annoys you or gets you mad but it has the correct answer. https://www.chegg.com/homework-help/questions-and-answers/jamal-asked-draw-circle-given-center-two-points-circle-isn-t-told-point--points-4-7-3-6-1--q74284191
please someone help me with my math?!
u=76
Answer:
solution given:
\(\sqrt {u+5}=9 \)
in order to remove square root we need to square both side so
\((\sqrt {u+5})^2=9^2 \)
u+5=81
u=81-5
u=76
How would you create a linear equation if you were given an initial value and a rate of change
A linear equation is of the form y = mx + b, where m = slope and b = y-intercept.
In this case, we can also say that the rate of change is the slope of the equation. And an initial value is the y-intercept in the linear equation.
Therefore, we will substitute the rate of change (slope) and initial value (y-intercept) into of line to get the desired equation.
Example:
Let 4 be our initial value and -2 be our rate of change then for,
\(\begin{gathered} y=mx+b \\ \end{gathered}\)Substituting b = 4 and m = -2, the linear equation is:
\(y=-2x+4\)A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length AC.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
A
41
B
85
Answer:
76 units
Step-by-step explanation:
You want the length of AC in the given triangular pyramid.
Pythagorean theoremThe Pythagorean theorem can be used to find the lengths of AD and CD.
AD² + 40² = 41²
AD² = 41² -40² = 81 . . . . . = 9²
and
CD² +40² = 85²
CD² = 85² -40² = 5625 . . . . . = 75²
It can also be used to find AC:
AD² + CD² = AC²
81 + 5625 = AC²
AC = √5706 = 3√634 ≈ 76
The length of side AC is about 76 units.
__
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.
<95141404393>
Scores on a college entrance exam rose from 20.1 in 1977 to 20.6 in 1986. What percent increase is this?
What is the percent of increase?
(Dound to the nearest tenth
Answer:
2.5% change when rounded to the nearest tenth
Step-by-step explanation:
The Formula for measuring change over time:
P=N−O/O⋅100
P is the percent change
N is the New Value - 20.6 for this problem
O is the Old Value = 20.1 for this problem
First subtract the new value from the old value (you should get 0.5)
Then, divide that number by the old value (you chould get a really long decimal)
Then, multiply that number by 100 (You should get a number like 2.48756 etc.)
Lastly, round it up to the nearest tenth (2.5)
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
why do we call rational numbers "rational numbers"?
Answer:
It is because it comes from the word 'ratio'. A rational number is usually known as the ratio of two integers, that's how it got its name. :)
the average rate of change of the function f(x) on the interval -3≤x≤3 is -2.5. If (-3)=14 then which of the following is the value of f(3)?
The average rate of change of f(x) on -3 ≤ x ≤ 3 is given to be
(f (3) - f (-3)) / (3 - (-3)) = -2.5
If f (-3) = 14, then
(f (3) - 14) / (3 + 3) = -2.5
(f (3) - 14) / 6 = -2.5
f (3) - 14 = -15
f (3) = -1
Will mark brainliest.
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
I will mark you brainiest!
One of the sides of a pentagon has length 12. Which of the following points, when paired with (2, 3), will make a side equal to this length?
A) (14, 15)
B) (2, -9)
C) (-2, -3)
D). (-9, 2)
The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.
Let the other point of the pentagon will be M(n, o).
The given point be A (a, b)
Also given one of the sides of a pentagon has length 12.
Now, we need to find the distance between the two points,
Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)
Now,
\(12 = \sqrt{(2-n)^2+(3-o)^2}\)
\((12)^2\) = \((2-n)^2+(3-o)^2\)
\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)
Now, check every point for the values to match with equation (1)
Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.
Option B:
\((2-2)^2+(3-(-9))^2\) =114
0+114 =114
Therefore option B is correct. The other point is (2,-9).
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General form of
Y= 1/3x +3 and has an x intercept of 3
Answer:
Step-by-step explanation:
y
=
1
3
x
−
3
Use the slope-intercept form to find the slope and y-intercept
Slope:
1
3
y-intercept:
(
0
,
−
3
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
0
−
3
3
−
2
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
3
−
2
image of graph
consider the verizon data. find a 95% ci for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.
A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.
Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.
Next, we use the formula for a confidence interval for the ratio of medians:
=> (M1/M2) +/- (Z * SE(M1/M2)),
where Z is the critical value from a standard normal distribution for a 95% confidence level.
The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.
Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.
Complete Question:
Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
To know more about confidence interval here.
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Find volume of figure
Assignment Active
The Economic Effect of Snowsheds
With so many snowsheds along the line, annual
maintenance soared. By 1910 many of the original
wooden structures needed replacing, and heavy snows in
the winter of 1912-13 crushed others. That year the
railway hired 1,800 workers to make shed improvements
along just 8 miles of track, and the need for additional
sheds was clear....
While making repairs on the Cascade Mountain
snowsheds in 1917, the Great Northern Railway used over
35 million board feet of timber that cost triple what it had
just eight years earlier. By this time, snowsheds and
tunnels covered 6.7 of the 9 track miles between
Wellington and Scenic.
According to this passage, how did snowsheds affect
the railroad in the long term?
O They decreased delays, which lowered the railroad
costs.
They required frequent repairs, which added to the
railroad costs.
They reduced the need for bridges, which lowered
the railroad costs.
O They required many workers to operate them,
which added to the railroad costs.
Easton earned a grade of 75% on his multiple choice science final that had a total of
200 problems. How many problems on the final exam did Easton answer correctly?
Answer:
Its 150
Step-by-step explanation: