Answers
Let's draw a picture of our parallelogram:
We can note that x+80 must be equatl to 90 degrees, then x is given by
\(\begin{gathered} x=90-80 \\ x=10 \end{gathered}\)since x is the angle QRT, then angle QRT measure 10 degrees.
Related Questions
the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
Answers
After 2 hours, the candle would have burned away another 1.5 inches (4 half-hour periods * 3/4 inch burned in each period), leaving it with a length of 0 inches. At this point, the candle has completely burned down.
Therefore, after 4 hours, the length of the candle would be 0 inches.
Which of the following expressions represents the solution to the inequality statement?-x ≤ -7 / x ≥ 7 / x ≤ 7 / x ≥ -7 / x ≤ -7
Answers
Answer:
x≥7
Step-by-step explanation:
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Based on the graph, is there an association between pet preference and lunch preference?
There is an association because the distribution of lunch preference differs among the pet groups.
There is an association because distribution of lunch preference is approximately the same among the pet groups.
There is no association because the distribution of lunch preference differs among the pet groups.
There is no association because the distribution of lunch preference is approximately the same among the pet groups.
Answers
Answer:
no association
Step-by-step explanation:
pets and lunch dotn have anything in commong
A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.3 and a standard deviation of 0.4. Out of the163 people who made it through the interview process, only 121 can be hired. What cut-off GPA should the company use
Answers
Answer:
3.04
Step-by-step explanation:
Mean = 3.34
Standard deviation= 0.4
n = 163
X ~ N(3.3, 0.4)
The cut off gpa = j
P(x>j) = 121/163
P(x<=j) = 42/163 = 0.26
O.26 represents the 26th percentile
We solve further by using Microsoft Excel. We use the function NORMINV on excel to get GPA
X =. NORMINV(0.26, 3.3, 0.4)
X = 3.04 approximately
We conclude that the required gpa is 3.04
Differentiate the function h() = (2 + 1)5 tan
Answers
The value of the function when differentiated w.r.t "x" is -2 / 1+x^2.
To differentite the function \(f(x) = tan^{-1}(\frac{1-x}{1+x}) - tan^{-1}(\frac{x+2}{1-2x})\) w.r.t "x", we have to make use of chain rule and the derivative of the inverse tangent function. By applying both the methods, we have to find out the differentiated value of the function.
Chain rule is basically a fundamental rule in calculus that allows us to find the derivative of a function. The chain rule comes out to be very usefull when the functions are layered. On the other hand, inverse tangent function is a mathematical function that takes an input value and returns the angle whose tangent is equal to that value.
We know that;
\(tan^{-1}a - tan^{-1}b = tan^{-1}(\frac{a-b}{1+ab} )\)
So, by following the above method we get the function as:
\(f(x) = (tan^{-1}1 - tan^{-1}x) - (tan^{-1}x + tan^{-1}2)\)
\(f(x) = tan^{-1}1 - tan^{-1}2 - 2tan^{-1}x\)
Now, differentiating both the sides w.r.t "x":
f'(x) = 0 - 0 - 2/1+x^2
f'(x) = 2/1+x^2
Therefore, the value of the function when differentiated w.r.t "x" is
-2 / 1+x^2.
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Iris has 120 songs on her playlist. Each week, she downloads 4 new songs. How do I write an expression to show the total number of songs on Iris's playlist after w weeks
Answers
The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.
We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -
y = 120 + 4w
Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
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A survey was given to 277 people asking whether people like dogs and/or cats. 126 said they like dogs 112 said they like cats 90 said they don't like cats or dogs. How many said they liked both cats and dogs?
Answers
Explanation:
277-90= 187
112+126=238
238-187=51
Please i need your hep
Answers
Answer:
a. 3
b. 12
c. In. and "
d. ft. and '
Step-by-step explanation:
c. 13in. or 13"
d. 13ft. or 13'
A parking lot is 126.1 m long and 38.06 m wide, what is the perimeter of the lot? Express your answer using four significant figures.
Answers
Answer = 328.3m/2
How many solutions does this system of equations have?
Answers
Answer:
this equation will have 2 solutions
Question 6 of 21
What are the vertex and x-intercepts of the graph of the function given below?
y=x²-2x-24
A. Vertex: (-1, -21); intercepts: x = 6,4
B. Vertex: (0, 0); intercepts: x=-4, 6
C. Vertex: (7, 5); intercepts: x = 6,8
OD. Vertex: (1, -25); intercepts: x= 6,-4
Answers
Answer:
OD=Vertex: (1, -25); intercepts: x= 6,-4
Step-by-step explanation:
y=x²-2x-24
where a = 1,b = –2 and c = –24
to find the vertex we will use this formula
Step 1
(h,k) = (-b/2a, -D/4a), where D = b²–4ac.
(h,k) = (–(–2)/2×1) , –((–2)² – 4 × 1 × –24/4×1)
(h,k)= (2/2) , –(4 + 96)
(h,k) = (1 , –100/4)
(h,k) = (1,–25)
STEP 2
To find x intercept make y = 0
y=x²-2x-24
x² – 2x – 24 = 0
x² –6x + 4x – 24 = 0
x(x –6) +4(x –6) = 0
(x+4)(x–6)=0
x+4 = 0; x = –4
x–6 = 0; x = 6
x = (–4,6)
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Which of the following graphs best represents the solution to the pair of equations below? y = x + 1 y = −x − 1 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 1 and the x axis at 1. The other line passes through the y axis at 1 and the x axis at negative 1. The lines intersect at 0 comma 1. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 1 and the x axis at negative 1. The other line passes through the y axis at negative 1 and the x axis at negative 1. The lies intersect at negative 1 and 0. A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 1 and the x axis at negative 1. The other line passes through the y axis at negative 1 and the x axis at 1. The lines intersect at 0 comma negative 1. A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 1 and the x axis at 1. The other line passes through the y axis at 1 and the x axis at 1. The lines intersect at 1 comma 0.
Answers
The graph that best describes the equations y = x + 1 y = −x − 1 is: A coordinate plane is shown with two lines graphed. One line passes through the y axis at 1 and the x axis at negative 1. The other line passes through the y axis at negative 1 and the x axis at negative 1. The lies intersect at negative 1 and 0.
What is a graph?A graph is a pictorial representation of data used in several disciplines. Graphs makes it easier to understand how a particular data relates with the other.
There many types of graphs, the type used here is the that of a straight line. The graph would have to cut through based on the signs that it has in the equation. That is if it is negative or positive.
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ind the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x3, y = 4x, x20; about the x-axis
Answers
The Volume of the solid formed by the curves y = 4x³ , y = 4x, x ≥ 0 ; about the x axis is 64π/21 .
In the question ,
it is given that ,
the given curves are y = 4x³ , y = 4x, x ≥ 0 ,
we have to find the volume about x axis ,
the region formed by the given curves about x axis is shown below in the figure .
So , the Volume of the required region is
V = \(\int\limits^1_0 {\pi [(4x)^{2} - (4x^{3} )^{2} }] \, dx\)
On simplification ,
we get ,
V = \(\pi \int\limits^1_0 { [16x^{2} - 16x^{6} }] \, dx\)
V = π[ x³/3 - x⁷/7 ]¹₀
= 16π( 1/3 - 1/7 - 0 - 0)
= 16π((7 - 3)/21)
= 64π/21
Therefore , the required Volume is 64π/21 .
The given question is incomplete , the complete question is
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x³ , y = 4x, x ≥ 0 ; about the x-axis .
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if you double a number and then add 36, you get 4 over 11 (4/11) of the original number,
what is the original number?
Answers
Answer:
The original number is -22
Step-by-step explanation:
We'll label our mystery number x.
2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22
Plug in to confirm
-44 + 36 = -88/11S
8 = 8
What is the solution for 2x + y =12 x = 9 - 2y
Answers
Answer:
x=5 and y=2
Step-by-step explanation:
I hope this helps
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
Answers
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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write and equation that illustrates the following: A number with two decimal places multiplied by a number with one decimal place.
Answers
One of the equation which illustrates and meets the decimal conditions given is :
1.25 × 0.2 = 0.25
What is the product of the decimal numbers?Let the first number with two decimal places be x = 1.25
Let the second number with one decimal place be y = 0.2
Result = first Number × second number
Thus;
Result = 1.25 × 0.2
Result = 0.25
Evaluating the result of 0.25, it means that;
Number of digits = 3
Non - zero digits = 2
There are several values of x and y which will satisfy the 3 conditions given.
Therefore, the product of the values 1.25 and 0.2 gives the required output of the question.
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Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answers
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answers
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best loan option, Ed wants to know the percent profit he will make each month.
Part A
The cost to run the gym each month is $5,000. Find Ed’s total monthly expenses for each loan option.
Answers
Answer:
Step-by-step explanation:
it will take 4 days to pay of the loan
1500 meters in 6 seconds as a fraction and in simplest form
Answers
Answer:
250 m/s
Step-by-step explanation:
1500/6=250
Because the units are meters per second (m/s), the final answer would be 250 m/s.
Answer:
Answer:
250 m/s
Step-by-step explanation:
1500/6=250
Because the units are meters per second (m/s), the final answer would be 250 m/s.
in the equation (m) what is the value of x
Answers
Answer:
x is equal to 10 times 5 is the ans
23) Find the measure of the side EF. Round the answer to the nearest tenth.
55 yd
40°
Answers
The length of the side EF for the right triangle is found as 35.35 yd.
Explain about trigonometric ratios?Trigonometric ratios are the ratios of a sides of a right triangle. The sine, cosine, and tangent are three popular trigonometric ratios (tan).
The sine trigonometric equation for such an angle of 40 degrees is expressed as sin 40 degrees.
Sin 40 degrees may be calculated precisely to within 8 decimal places as 0.64278760.
In the right triangle DEF:
Apply sin function.
sinФ = perpendicular / hypotenuse
sin 40 = EF / DF
sin 40 = EF / 55
EF = 55 *sin 40°
EF = 35.35 yd
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Help me please .........
Answers
Step-by-step explanation:
x ÷ 3 - 7 = -2
x - 7 = -2 × 3
x - 7 = -6
x = -6 + 7
x = 1
Answer:x ÷ 3 - 7 = -2
x - 7 = -2 × 3
x - 7 = -6
x = -6 + 7
x = 1
Step-by-step explanation:
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Answers
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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what is the square root of 1/121
Answers
Answer:
11
Step-by-step explanation:
example 11×11 = 121
therefore squreroots = 11
Select the correct answer. Which function represents the inverse function of the function f(x)=x^2 +5
Answers
Answer:
f^(-1)(x) = ±√(x - 5).
Step-by-step explanation:
Replace f(x) with y: y = x^2 + 5.
Swap the x and y variables: x = y^2 + 5.
Solve the equation for y. To do this, we'll rearrange the equation:
x - 5 = y^2.
Take the square root of both sides (considering both positive and negative square roots):
±√(x - 5) = y.
Swap y and x again to express the inverse function:
f^(-1)(x) = ±√(x - 5).
Select the correct answer.
Which statement correctly compares the graph of function g with the graph of function ??
FE) = e²-
g(x) = ² - 4
O A.
OB.
O C.
O D.
The graph of function g is a horizontal shift of the graph of function to the right.
The graph of function g is a vertical stretch of the graph of function f.
The graph of function g is a vertical compression of the graph of function f.
The graph of function g is a horizontal shift of the graph of function f to the left.
Reset
Next
Answers
A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;
g(x) = kf(x)
g(x) = 1/2f(x)
\(g(x) = \frac{1}{2} e^x -4\)
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Write the given equation in slope-intercept form.
Given: 3x + 2y
A Y У
BY
c) Y
DY
3
===x-5
2²
=
3232
=
232
2x+5
x-5
2⁰t
2²+5
10
Answers
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=3
3.Paul owes his father $56.78. He borrows $20 more from his father. Write an expression to represent his debt. Helpp plzzz asap