Answer:
4
Step-by-step explanation:
If the output value is 16, then the equation we are left with is
16 = 2x + 8
(because y is the output, or the answer)
To solve, first subtract 8 from both sides.
16 - 8 = 2x + 8 - 8
We get:
8 = 2x
Then simply divide 8 by 2.
4 = x
So, x = 4
The input would be 4 since x is our input.
Hope this helps!
Which expression shows the result of applying the distributive property to 9(2 + 5m)?
• 2 + 45m
O 18 + 45m
O 11 + 14m
18 + 5m
Answer:
18+45m
Step-by-step explanation:
You multiply when applying the distributative property:
9(2+5m)
18+45m multiply 9 by each value in parentheses
On the SAT exam, a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the exam in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes. What are the appropriate hypotheses?
H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 23.5 versus Ha: μ > 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ > 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
Answer:
H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
The hypothesis is H0: μ = 25 versus Ha: μ < 25, So option (C) is the correct answer.
What is mean and standard deviation?Mean is the ratio of the sum of all the observations and the total number of observations in a data set. The standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance.
For the above suituation,
There are 20 math questions to be answered in 25 minutes.
After investigation with 35 students, the meantime needed for them is 23.5 and the standard deviation is 4.8.
From the above information, we can say that the hypothesis, H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam.
Hence we can conclude that the hypothesis (C) is the correct answer.
Learn more about mean and standard deviation here
https://brainly.com/question/475676
#SPJ2
Solve each system by elimination.
3) -4x+6y=-14
4x – 8y = 16
A) (2, -1)
B) (-1,2)
C) (4,1) D) (2, 1)
Answer:
M=2/3
m=1/2
Step-by-step explanation:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
please help me I only have 2 minutes left winner gets brainliest is 1 + (8r+9) and (2+8) + 8r equivalent
Answer:
Yes, this is equivalent.
Hope this helps!
what is the mean of the following data values? 53,71,89,10,87
Answer:
63
Step-by-step explanation:
Mean=Sum of all values/number of observation
=53+71+89+10+87/5
=310/5
=62
It's 62
Just took test
Find the surface area of the ball shown. Use 3.14 for π.
Radius is 13 cm.
Answer:
Hi! answer: 530.66
Step-by-step explanation:
To find area for circles you have to do radius × radius × pi so our radius is 13 so 13 × 13 = 169
169 × 3.14 = 530.66 So that's our answer hope that helps!
Answer:
[tex]676 \pi \ cm^{2}[/tex]
N
Which equation represents a proportional relationship?
Y=x+1/3
Y=3X+1/3
Y=1/3X
Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?
A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.
Answer:
Length = 28 meters Width = 4 metersStep-by-step explanation:
Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.
Perimeter of a rectangle:
= Length + length + Width + Width
Therefore:
7x + 7x + x + x = 64
16x = 64
x = 64/16
x = 4 meters
Length is 7 times as long:
= 4 * 7
= 28 meters
Find the value of x.
Answer:
5
Step-by-step explanation:
Using pythagoras theorem
Answer:
4056 is the correct answer I think
Step-by-step explanation:
13×13×24=4056
If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps
Answer:
x = 13/12
Step-by-step explanation:
explain on image
Pls help is it; (1.5, 2) or no solution
Answer:
no solution?
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST!
The path of a seat on a new Ferris wheel is modeled by x = –25sin(StartFraction pi Over 30 EndFraction t) and y = –25cos(StartFraction pi Over 30 EndFraction t) + 30, where distances are measured in feet. What is the maximum height a rider will experience?
50 feet
55 feet
60 feet
80 feet
Answer:
The maximum height a rider will experience is 55 feet.
Step-by-step explanation:
Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.
[tex]X(t)=(x,y)[/tex]
In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.
[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.
For this exercise :
[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]
In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].
The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]
To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.
⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex] ⇒
[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]
Now we equalize [tex]y'(t)[/tex] to 0 ⇒
[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]
In this case it is easier to look for the values of ''t'' that verify :
[tex]sin(\frac{\pi}{30}t)=0[/tex]
Now we need to find the values of ''t''. We know that :
[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]
Therefore we can write the following equivalent equations :
[tex]\frac{\pi}{30}t=0[/tex] (I)
[tex]\frac{\pi}{30}t=\pi[/tex] (II)
[tex]\frac{\pi}{30}t=-\pi[/tex] (III)
From (I) we obtain [tex]t_{1}=0[/tex]
From (II) we obtain [tex]t_{2}=30[/tex]
And finally from (III) we obtain [tex]t_{3}=-30[/tex]
We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :
[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒
[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]
Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒
If [tex]y''(t_{n})>0[/tex] then we will have a minimun at [tex]t_{n}[/tex]
If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]
Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒
[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]
[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]
[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]
The last step for this exercise will be to find the values of the maximums.
We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒
[tex]y(t_{2})=y(30)=55[/tex]
[tex]y(t_{3})=y(-30)=55[/tex]
We found out that the maximum height a rider will experience is 55 feet.
Answer:
B
Step-by-step explanation:
plz help right now illl give brainlist 5.0 and say thanks
Answer: 4+4+1
Step-by-step explanation: 4+4+1=4+5
Hope this helps!
What's the gradient of y=3x+1
Answer:
3
Step-by-step explanation:
y = 3x + 1
This is in slope-y-intercept form: y = mx + c
Gradient = m = 3
Jane got scores of 67, 83, and 79 on three math tests. What must her score be on the fourth test for the average of the four to be 80?
what's the circumference of a circle with the radius of 7 ft use 3.14 for π
Answer:
7 x 3.14 x 2 = 43.96 ft
Step-by-step explanation:
Formula of Circumference:
pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2 x r(given radius or half your diameter
find the mean of the data set 2 9 7 4 6 1
Answer:
i think its six i haven't done this in a while tho
Step-by-step explanation:
sort them in order from least to greatest and find the middle... i think... that could be medium
Answer:
Step-by-step explanation:
The mean is the average so add them all up and divide the sum by the amount of number there are [tex]2+9+7+4+6+1=29[/tex] and then divide 29÷6 = 4.8333333333 (3 continued) or 29/6 (fraction) also if that is not the answer round it and it would be 4.8
Help^^^^^^^^^^^^^^************
Answer and Step-by-step explanation:
The answer you chose is correct:
D. 2(5w + 5)
This is equivalent to 10w + 10.
This is because the 2 is a factor of 10, so when distributed out of the 10's, we get 5.
#teamtrees #PAW (Plant And Water)
Which angles are supplementary angles?
Answer:
Angle KJM and Angle LMJ
Step-by-step explanation:
By the looks of the diagram they will surely add up to form 180 degrees
PLEASE HELP ME I REALLY NEED THE ANSWER
1 tickets
2 tickets
3 tickets
4 tickets
Answer:
2 adult tickets
Step-by-step explanation:
we have two relations
[tex]a + c = 5[/tex]
[tex]9a + 4c = 30[/tex]
first rearrange the top equality for one of the variables
[tex]a = 5 - c[/tex]
now substitute into the second equation
[tex]9(5 - c) + 4c = 30[/tex]
perform the distribution and combine like terms
[tex]45 - 9c + 4c = 30[/tex]
[tex]45 - 5c = 30[/tex]
[tex] - 5c = - 15[/tex]
[tex]c = 3[/tex]
place this 3 into our first equation and solve for a
[tex]a + (3) = 5[/tex]
[tex]a = 2[/tex]
4.
{hghghghghghghghghg}
Answer:
B 84 cm^2 is the surface area of tbe prism
Step-by-step explanation:
A chessboard is made of small squares of equal side lengths. If the perimeter of the chessboard is 20 cm, what could be the value of (a+b)?
a. 10 cm
b. 6 cm
c. 8 cm
d. 11 cm
Vinny's friend told him that he could earn $49 for delivering newspapers. Vinny
wants to calculate the hourly rate. If he works a total of 3.5 hours, the equation
3.5x = 49 can be used to determine his hourly rate. What would Vinny's hourly rate
be, in dollars?
Answer:
The hourly rate would be 14
Step-by-step explanation:
All you have to do is divide 49 by 3.5, giving you 14 :)
What is the radius of a circle that has an area of 89 square feet?
Answer:
5.32255ft
Step-by-step explanation:
A
π=89
π
Answer:
5.3
Step-by-step explanation:
The equation is A=πr²
The area is 89 so 89=πr²
89/π=r²
√89/π =r
r=5.322554
You are playing catch with your brother and your sister. In the diagram below, you are represented by vertex A of the triangle, your brother is represented by vertex B, and your sister is represented by vertex C.
Which is closest to the distance between you and your brother?
42 feet
58 feet
40 feet
52 feet
Answer:
42
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Workers load 5 identical large crates and 3 identical small crates onto a freight elevator. The crates have a combined weight of 1375 pounds. Later
that day, the workers load 3 more identical large crates and 6 more identical small crates onto the freight elevator. These crates have a combined
weight of 1350 pounds.
Answer: The total would be 40.53
Step-by-step explanation:
Which table represents a nonlinear function? pls hurry
Answer:
1st one
Step-by-step explanation:
Linear means straight and when you graph this one it is a straight line
Kaia's mom is having triplets. Each baby could be either male or female
Which outcome would be included in the compound event more than one
male"?
First Second Third
baby baby baby
M
Sample space
outcomes
MMM
F
MMF
MEM
A. MFM
B. FFM
C. MFF
D. FMF
Answer:
MMM
Step-by-step explanation:
Given
See attachment for elements of the sample space (in a probability tree)
Required
Which of MMM, FFM, MFF, FMF represents more than one male?
From the question, we understand that:
[tex]M \to Male[/tex]
[tex]F \to Female[/tex]
So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)
From the given options, only MMM has more than 1 M.
Hence, MMM represents more than one Male
Please help! Find the value of X
Answer:
16.50
Step-by-step explanation:
divide it to the upper thanks
To the nearest tenth, which is the BEST estimate for the volume of the given pyramid?
Answer:
4.2 cubic inches
Step-by-step explanation:
Find the diagram attached
Volume of the rectangular pyramid = BH/3
B is the base area
H is the height of the pyramid
Given
Base area = 3.2in * 1.4in
Base area = 4.48sq. in
Height = 2.8in
Volume of the rectangular pyramid = 4.48*2.8/3
Volume of the rectangular pyramid = 12.544/3
Volume of the rectangular pyramid = 4.2 cubic inches