Answer:
[tex]\huge\boxed{x = 28.3}[/tex]
Step-by-step explanation:
=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]
Cross Multiplying
=> x * 3 = 5 * 17
=> 3x = 85
Dividing both sides by 3
=> x = 85/3
=> x = 28.3 (To nearest tenth)
Answer:
[tex]\Huge \boxed{x=28.3}[/tex]
Step-by-step explanation:
The proportion is given,
[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]
We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.
Multiply both sides of the equation by 5.
[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]
Simplify the equation.
[tex]\displaystyle x=\frac{85}{3}[/tex]
[tex]x=28.33333333...[/tex]
The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).
NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?
Answer:
Bottom right.
Step-by-step explanation:
The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.
Find f-1.
f(x)=4 log2 (x – 7)
Answer:
f(1) = 10.33985 + 18.1294406 i
Step-by-step explanation:
f(1) = 4log2(1-7)
f(1) = 10.33985 + 18.1294406 i
If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down
Answer:
f(x) = Ix - 2I -3
Step-by-step explanation:
f(x) = IxI
f(x) = Ix - 2I -3
The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
If you apply the changes below to the absolute value parent function
f(x) = |x|
Then the equation of the new function will be
Shift 2 units to the right, shift 3 units down
f(x) = | x – 2 | + 3
Then the vertex of the absolute function will be at (2, 3).
More about the absolute function link is given below.
https://brainly.com/question/10664936
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Please Help Will Mark as Brainlist
Answer:
Hey there!
We can write this equation: 2x+4x=180
6x=180
x=30
Hope this helps :)
The two angles are supplementary angles. When added together they equal 180 degrees.
2x + 4x = 180
Combine like terms:
6x = 180
Divide both sides by 6:
X = 180/6
X = 30
1. What is the ratio of the sides? 2. Using Complete sentences, explain how you could verify that these two triangles are indeed similar.
Answer:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
Step-by-step explanation:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
help me plz i dont get this
Answer:
56 [tex]in^2[/tex]
Step-by-step explanation:
We can first break this down into 2 smaller rectangles.
1x2x4 rectangle
4x3x4 rectangle.
Then we can find out the area of each, and we get 8+48 = 56.
You also could find this out by subtracting the area that is missing.
Answer:
The volume of the container is 56 in^3
Step-by-step explanation:
To solve, I split this figure vertically at the corner between the two steps. We know that the formula for volume of a container is V= l*w*h. The first, smaller portion of the container has a length of 4, a width of 1, and a height of 2. 4*1*2= 8 in^3
The second, larger portion of this container has a length of 4, (look at the side of the first portion), a width of 3, (4-1=3), and a height of 4. 4*3*4= 48 in^3.
Finally, add together the volumes of the two portions and that is the volume of the whole figure. V= 56 in^3
If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2
Answer:
π/12 rad and 23π/12 radStep-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]
Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]
Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
The values in radians are π/12 rad and 23π/12 rad
Which function's graph has asymptotes located at the values x= ±nπ?
1-Y=csc x
2-Y=cos x
3-Y=tan x
4-Y=cot x
Answer:
[tex]y=csc(\theta)[/tex]
[tex]y=cot(\theta)[/tex]
Step-by-step explanation:
I will just change
[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]
For
[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]
Also, note that sine and cosine function don't have asymptotes.
The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]
It happens because the cosecant function is undefined for those values.
The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].
On the other hand, the vertical asymptotes of tangent function occur at:
[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]
It happens because the tangent function is undefined for those values.
Answer:
It's y = csc x and y = cot x.
Step-by-step explanation:
write the slope- intercept form of the equation for the line
y=-8/7x-3/2
y=7/8x-3/2
y=-7/8x-3/2
y=-3/2x+7/8
Answer: All options are in slope-intercept form
i hope this helps .
Step-by-step explanation:
1.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]
2.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]
3.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]
4.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?
Answer:
[tex]f(t)=20000(0.85)^t[/tex]
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
[tex]f(t)=P(r)^t[/tex]
Where P is the initial value, r is the rate of decay, and t is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
[tex]f(t)=20000(0.85)^t[/tex]
In January 2008, the temperature in parts of Minnesota fell from 48 F degrees to -12 F degrees over a 24 hour period. What was the average temperature change per hour?
Answer:
The average temperature per hour:
-2.5 °F
Step-by-step explanation:
(-12-48) / 24 = -60/24
-60/24 = -2.5
In average decrease:
2.5°F
per hour
Can someone do this?
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -16+ + 35t + 5, where h is the height of the basketball at t seconds. What's
the height of the basketball at 1.5 seconds?
18.8 feet
21.5 feet
16.7 feet
1
20.2 feet
Answer:
21.5
Step-by-step explanation:
h(t) = -16t^2 + 35t + 5,
Let t = 1.5
h(1.5) = -16 (1.5)^2 + 35(1.5) + 5
=-16 *2.25 +52.5+5
= -36+57.5
= 21.5
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Step-by-step explanation:
of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Answer:
you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.
Step-by-step explanation:
Thanks!
The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats. How many reserved seats are
possible using a combination of one letter followed by two digits. EXPLAIN how to solve this problem in your own words.
Answer:
Hey There!! The answer to this is Correct option: 1) 2600 The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Thus, Correct option: 1)
Hope It Helped!~ ♡
ItsNobody~ ☆
The total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
The missing options are:
1.) 26002.) 2343.) 2604.) 2106We have:
The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats
As we know, in the alphabet(A to Z) there are the 26 letters and total number of digits (0 to 9) is 10
A total number of combinations of letters followed by two digits can be calculated as follows:
As we have one letter and two digits
= 26×10×10
= 2600
, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Thus, the total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.
Learn more about permutation and combination here:
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A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.
Answer:
5 Gello Pens and 12 Inko Pens.
12 Inko Pens adds up to 84.
5 Gello Pens adds up to 25.
84 + 25 = 109.
I hoped this helped :)
1.) Write 7/25 as a percent and decimal.
Answer:
Below
Step-by-step explanation:
● 7/25
Let' write this fraction as a decimal then convert it to a percentage
● 7/25 = 0.28
To get a percentage multiply it by 10
● 0.28 × 100
● 28 %
Answer:
0.28 or 28 percent
Step-by-step explanation:
1)The easiest way to solve this is with a calculator. Just enter in 7/25, and you get 0.28.
2) Now, 0.28 is out of 1, but we also want a percent, so you have to change it to make it out of 100. You do this by multiplying by 100, and to do that you simply move the decimal place 2 places back.
3) You would then get 28, so 28 percent.
Extra) You can also do the part I did with a calculator without, but it is much more time consuming. After you get 0.28, you would go through the steps listed above.
Simplify: 15 7/12 x−9 1/3 x
A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1425 square kilometer.
Step-by-step explanation:
2900 - 8.5% = 2653.5
2653.5 - 8.5% = 2427.9525
2427.9525 - 8.5% = 2221.5765375
2221.5765375 - 8.5% = 2032.74253181
2032.74253181 - 8.5% = 1859.95941661
1859.95941661 - 8.5% = 1701.8628662
1701.8628662 - 8.5% = 1557.20452257
1557.20452257 - 8.5% =1 424.84213815 ≈ 1425
How is 200,000 + 7,000 +500 + 3 written in standard form?
Answer:
207,503
Step-by-step explanation:
you just have to add the 4 numbers so you get 207,503
━━━━━━━☆☆━━━━━━━
▹ Answer
207,503
▹ Step-by-Step Explanation
200,000 + 7,000 + 500 + 3
= 207,503
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
How would I answer this using a number line to find what the sum of
-2 + 2 =
Solution: in the picture
hope it helps^°^
Factor the following expression completely:
32
z
4
+
8
z
3
−
4
z
2
Answer:
40z + 5
Step-by-step explanation:
I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2
32z + 8z ( since they both have the same variable ) = 40z4 + 3 - 4 + 2 ( since they have to variables ) = 5Hope this helped
Answer:
The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)
Step-by-step explanation:
In the problem, we a re given an equation.
32z⁴ + 8z³ - 4z²
We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.
A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.
4(8z⁴ + 2z³ - z²)
So, this is your factored expression from the given equation.
Need help plz, show work too
Answer:
Hope it helps this is an isosceles triangle
You can choose from the following 15, 16, 24, -88, 75, -62, 151, 88, 1, 30, -5 Also thank you in advance I don't know why I don't get this one so please explain if possible!
Answer:
-88
Step-by-step explanation:
whoever deleted my answer thanks a lot
Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20
Complete question:
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?
Answer: 3/20
Step-by-step explanation:
From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)
Given that:
P(arrow landing on red) = 11 / 20
P(arrow landing on blue) = 6/20
The probability of arrow landing on green is therefore :
Sum of the probabilities of red and blue :
P(arrow landing on red) + P(arrow landing on blue)
= (11/20 + 6/20) = 17/20
Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.
Then:
P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1
Hence,
P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]
P(arrow landing on green) = 1 - [11/20 + 6/20]
P(arrow landing on green) = 1 - 17/20
P(arrow landing on green) = 3/20
can somewon help me plz
Answer:
=1468 in ^3
Step-by-step explanation:
Find the volume of the container as if the corner was still there
V = l*w*h
V = 10 * 10 *15
= 1500
Subtract the missing corner
The volume of the missing piece is
V = l*w*h
= 2*4*4
= 32
V = 1500-32
=1468 in ^3
Answer:
It is 1468 inches cubed.
Step-by-step explanation:
You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15. They multiply to become 1500 inches cubed. You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2. And that equals 32. So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32. That equals 1468 inches cubed. You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it. So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.
Which fraction is equivalent to -0.12? A. -3/25 B. -7/50 C. 4/25 D. -6/25 Please show ALL work! <3
Answer:
[tex]\huge\boxed{-\frac{3}{25} }[/tex]
Step-by-step explanation:
-0.12 in fraction form can be written as:
=> - 12/100
=> - 6 / 50
=> - 3/25
Answer:
[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]
Step-by-step explanation:
Convert the decimal to a fraction.
-(0.12) = -(12/100)
Simplify the fraction.
-(12/100) = -(6/50) = -(3/25)
Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357
Step-by-step explanation:
Hello, there!!!
The answer is option D.
I have given solution on the picture.
Hope it helps.....
(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answer:
≈ 5.36
Step-by-step explanation:
If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.
If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.
[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]
However, I'm not 100% sure about this answer.
Hope this helped (and I hope I'm right)
Answer:
5.3589 or 5.36
Step-by-step explanation:
tan (15) = x / 20
x = 40 - 34.64
x = 5.36
HELPP! QUICKKKK! Lol
Problem:
Last year I attended the Jurassic World Dinosaur Exhibit with my family and my friend and her family. My
family includes 2 adults (including myself) and my child we paid a total of $94. Her family includes 2
adults and 2 children she paid a total of $110. What was the admission price for an adult ticket and how
much was it for the admission price for a child ticket?
Let a represent adult ticket price
Let c represent child ticket price
Answer:
Child ticket = $16.
Step-by-step explanation:
Let adult tickets = a;
child ticket = c.
2a + c = 94 — eq no. 1,
2a + 2c = 110 — eq no. 2,
then,from eq 1,
c = 94 - 2a. —eq no. 3.
Substitute eq 3 into eq 2,
2a + 2(94 - 2a) = 110
2a - 4a = 110 - 188
-2a /-2 = -78 / -2
a = 39.
Substitute value of a into eq 3,
c = 94 - 2(39)
= 94 - 78
c = 16.
Thus, child ticket = $16.
