Answer: These linear functions can be represented by two lines y = 5x and y' = 5x' + 3
So when we shift line y = 5x by 3 units up on the y-axis then a new graph of
y = 5x + 3 will be formed.
Therefore, Option A is the answer.
7. The volume of a cylinder is represented by the formula V = r² h.
Find each missing height and show your reasoning.
volume (cubic inches) radius (inches) height (inches)
96. 4
31.25. 2.5
V. r
Based on the calculations, each missing height of this cylinder is; 6 and 5 inches.
How to calculate the volume of a cylinder?Mathematically, the volume of a cylinder can be calculated by using this formula:
V = πr²h
Where:
V is the volume of a cylinder. h is the height of a cylinder. r is the radius of a cylinder.
Now h the subject of formula, we have:
h = V/πr²
When V = 96π and r = 4, the volume of this cylinder is;
h = V/πr²
h = 96π/π(4)²
h = 96/16
Height, h = 6.
When V = 31.25π and r = 2.5, then the volume of this cylinder is;
h = V/πr²
h = 31.25π/π(2.5)²
h = 31.25/6.25
Height, h = 5.
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Determine which integer will make the inequality 2(n + 2) < 5(n − 1) true.
S:{10}
S:{3}
S:{2}
S:{0}
Answer:
10
Step-by-step explanation:
if you replace n with 10 you will get
2(10+2)<5(10-1)
2(12)<5(9)
24<45
which is a true statement if you replace n with any other number you will get a incorrect statement and if you replace n with 3 though they are equal it's not a ≤ it's only <
a) The sum of the three dimensions of a cuboid is 48 cm and the ratio among the lengths of its dimensions is 5: 4:3, Find its area. (grade 6)
Answer:
588 cm
Step-by-step explanation:
Which of these is most commonly a role of the government in the United States economy?
Answer:
The most obvious way the government is involved in the U.S. economy is providing public goods and services like education, military protection, national parks and federal highways.
Step-by-step explanation:
A group of 23 friends are at the theater but can't agree on which movie to see. some of the group decides to see lightyear which is playing for $4 per ticket and the rest of the group decides to see jurassic park which is playing for $9 per ticket. altogether the group spends $172, how many of them saw lightyear?
The number of people who watched light year are 7.
Let x= number of friends that watches light year
and y= number of friends that watches jurassic park.
Let the equations be
All together total cost => 4x+9y=172 ------> 1
And total number of people=> x + y=23 ------> 2
By multiplying both equations by 1 and 4 respectively we can get,
By Solving above two equations we get, x=7 and y=16
As X represents number of friends that watches light year, the answer is 7
Therefore, number of people that watches light year will be 7.
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Parvatis group brought in pizzas but is buying drinks at the concession stand. How many medium sellers can provide a group by the 20 bucks make a table to show your answer at the concession stand medium sodas cost $1.25.
i think the answer is 16 im not to sure tho sorry
Mary is four years older than Sue. If the sum of their ages is 16, how old are Mary and Sue?
Answer: Mary 10 Sue 6
Step-by-step explanation:
Answer:
Sue is 6 and Mary is 10
Step-by-step explanation:
let Sue's age be x then Mary is x + 4 and the sum of their ages is
x + x + 4 = 16
2x + 4 = 16 ( subtract 4 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
x + 4 = 6 + 4 = 10
then Mary is 10 and Sue is 6
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Finding the dimensions of a rectangle given its perimeter and a...
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 120 in, find its length and width.
length: 111
width: in
X
E
S
Answer:
Width = 10 in
Length = 50 in
Step-by-step explanation:
Define the variables
Let x be the width of the rectangle.If the length is five times its width, then the length of the rectangle is 5x.Given the perimeter is 120 in:
[tex]\begin{aligned}\textsf{Perimeter of a rectangle} & = 2(\sf width + length)\\120 & = 2(x + 5x)\\120 & = 2(6x)\\120 & = 12x\\\dfrac{12x}{12}&=\dfrac{120}{12}\\\implies x&=10\end{aligned}[/tex]
Solution:
Width = 10 inLength = 5 × 10 in = 50 inDirections: Determine whether each equation represents a direct variation. If yes, identify the
constant of variation.
Y - 6 =2(x-3)
Answer:
Yes, this equation represents a direct variation equation
constant of variation = 2
=========================================================
Explanation:
Let's solve for y
y - 6 = 2(x-3)
y - 6 = 2x - 6
y - 6+6 = 2x - 6+6
y + 0 = 2x + 0
y = 2x
The equation is in the form y = kx which fits a direct variation equation. The constant of variation is k = 2.
Which graph shows the solution to the inequality?
x - 4 ≤ -1
Answer:
[tex]x -4 \leq -1\\x -4 + 4 \leq -1 + 4\\x\leq -1 +4\\x\leq +3[/tex]
Answer:
x ≤ 3
Step-by-step explanation:
This is the answer because I say it is
What is the domain of the function??
Answer:
Domain is permissible values of x.
Set notation: { x | -1 ≤ x < 6, x ∈ R}
Interval notation: [-2,6)
Hope that helps
(-r²s) (-3rs³) (-s²)
Answer: -3r³s⁶
Step-by-step explanation:
[tex](-r^2s)(-3rs^3)(-s^2)=\\\\(-3)(-r^2)(r)(s)(s^3)(-s^2)=\\\\-3(-r^{2+1})(-s^{1+3+2})=\\\\-3(-r^3)(-s^6)=\\\\-3r^3s^6[/tex]
help quick 10 points
Answer:
-x+6
Step-by-step explanation:
the slope is negative because the line is moving down. the y intercept is positive 6 because the line goes through the line (0,6)
40 students and 24 staff members how many is on the same team with same number of students and staff
The number on same team with same number of students and staff is 8.
What is a factor?A factor of a number simply means a number that divides another number without having a reminder.
In this case, there are 40 students and 24 staff members. Therefore, to have same team, we have to find the highest common factor for the numbers.
The highest common factor for 24 and 40 will be:
24 = 2, 3, 4, 6, 8, 12 and 24
40 = 2, 4, 5, 8, 10, 20 and 40
The highest factor is 8 which is the correct answer regarding the question.
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What is the value of x?
Answer:
x = 20°
I hope it helps!
Step-by-step explanation:
80+a=180
a=100
a=2x+3x
100=5x
x=20
How do I know if these are true or false?For #9-12, True or False?9. In the construction of a frequency distribution, it is a not a good ideato have overlapping class limits such as 10 - 20, 20 ÷ 30, 30 - 40.10. It is not important to keep the with of each class the same in afrequency distribution. True11. In construction of a frequency polygon, the class limits are used forthe x-axis. ch12. Data collected over a period of time should be graphed by using apie chart. C
Question 9.
In the construction of a frequency distribution, it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40.
Let's determine if the above statement is true or false.
A frequency distribution shows a representation of the num ber of observations within a given interval either in tabular or grahical format.
In the construction of a frequency distribution, the class limits should be made very clear in order for each observation to fall into only one class.
It is not a good idea to have ovelaping class limits like 20-30, 30-40. This is because overlaping limits such as this would make it dificult to determine the class where 30 is located.
Therefore, this statement ''it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40'' is TRUE.
ANSWER:
True.
1.1 Complete the table.
Length (cm) Length (mm)
4
12
50
88.49
What is the constant of proportionality?
The constant of proportionality in the given representation is 3 .
The proportionality constant is the ratio that connects two given numbers in a connection that is thought to be proportional. The proportionate constant is also known as constant ratio, unit rate, variable of variation, and even rate of change.
The proportionality constant is calculated by a proportionality constant illustration.
Finding the proportionality constant begins with identifying the x and y elements. To figure out the weight to stick ratio, x will stand for size and Y for the number of butter sticks. We use the equations k = y/ x to calculate the proportionality constant.
Given the value of x is 4 and the value of y is 12
therefore using the equation we get
k= 12 / 4 = 3 .
Therefore the complete table will be
length (x) (y)
4 12
50 150
88.49 265.47
Hence the proportionality constant is 3 .
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I really need help, I’m struggling with the problem in the picture bellow
Please can someone help me soon
The x and y coordinates of Q are negative according to the transformation rule of a 90 degree counterclockwise rotation about the origin, which is (x, y)→ (-y, x).
C) Both x and y are negative.
A function translation is:When a function is transferred without undergoing any form or rotation changes, it has been "translated." A function may be translated both horizontally and vertically. Dilation, reflection, as well as rotation are additional "transformations" of a function that are feasible.
According to the given data:The following is the transformation formula for a 90° counterclockwise rotation about the origin:
(x, y) → (-y, x)
the triangle is then reflected across the x-axis,
the following transformation rule:
(x, y) → (x, -y)
So, we have:
(x, y) → (-y, -x)
From the graph, we have:
Q = (1,2)
So,
the coordinates of Q" are
Q" = (-2, -1)
Both the x and y coordinates of Q " are negative.
Therefore,
the correct answer is option:
C) Both x and y are negative.
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I understand that the question you are looking for is:
Triangle PQR is rotated 90 degrees counterclockwise about the origin to form the image triangle P'Q'R' (not shown). Then triangle P'Q'R' is reflected across the x-axis to form triangle P"Q"R" (not shown). What are the signs of the coordinates (x, y) of Point Q"?
A) Both x and y are positive
B) x is negative and y is positive
C) Both x and y are negative
D) x is positive and y is negative
“A falcata is formed by taking a quadrant of a circle and removing a semicircle from it (see diagram).If the radius of the original circle is 2 units long, find the exact area of the falcata.”hello!! please help me out! i’m begging. this assignment is kicking my teeth in!!
step 1
Find out the area of the complete quadrant of the circle (1/4 of the complete circle)
[tex]A=\frac{1}{4}*pi*r^2[/tex]where
r=2 units
substitute
[tex]\begin{gathered} A=\frac{1}{4}*pi*2^2 \\ A=pi\text{ unit}^2 \end{gathered}[/tex]step 2
Find out the area of the semicircle removed
[tex]A=\frac{1}{2}*pi*r^2[/tex]where the radius of the semicircle removed is half of the radius of the circle
so
r=2/2=1 unit
[tex]\begin{gathered} A=\frac{1}{2}*pi*1^2 \\ A=\frac{pi}{2}\text{ unit}^2 \end{gathered}[/tex]therefore
to find out the area of the falcata, subtract the area of the removed semicircle from the area of the quadrant of the circle
The area of the falcata is
A=pi-pi/2=pi/2 unit2
the area of the falcata is pi/2 square unitsPLS HELP ASAP!!!!!!!
Triangle ABC is congruent to triangle XYZ. Side
BC corresponds to what side in triangle XYZ?
The sum of three times x and 4 is 25. Find x.
Answer: X=7
Equation: 3x+4=25
Subtract 25-4=21
Divide 21 by 3, which equals 7
Therefore, x=7
please answer it...... Question:
[tex]if 3 (X - 1) - 5 (x - 4) = 8 find the value of x -5 \times \frac{1}{2} [/tex]
Answer:
.........................
A city advertises that the average number of runners over the past two decades in their annual road race is 800.
The difference between the average number of runners and the greatest number of runners is the same as the difference between the average number of runners and the least number of runners. The greatest number of runners in a race was 920.
What absolute value equation can be written to determine the least number of runners, and what is this value?
Enter your answers in the boxes.
Absolute value equation: |x- ___| = ___
The least number of runners in a race was ___
Step-by-step explanation:
Absolute value equation:
[tex] |x - 120| = 920[/tex]
least no of runners = 800 - ( 920 - 800) = 680
-14a-(-48a) Please help me and show the work
Write as a monomial in standard form.
The monomial in standard form will be written as 5y³x².
A Monomial may be defined as a type of polynomial which contains only one term. For example, 3x², 5x and 6x are called monomials. When written in standard form it is the product of one or more factors which can be a constant coefficient and one factor for each variable in the expression. While writing in standard form the terms having the highest power is written first and then the succeeding powers are written. Here, the expression given is 5x²y³ which is not in standard form. The terms having highest power is y³ so it should be written before the term x² as 5y³x² which will be the required standard form.
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Tori uses the greatest common factor and the distributive property to rewrite this sum:
24 + 84
What expression does Tori write?
Responses
4(6+21)
, 4 left parentheses 6 plus 21 right parentheses,
12(2+7)
, 12 left parentheses 2 plus 7 right parentheses,
2(24+42)
, 2 left parentheses 24 plus 42 right parentheses,
24(1+4)
, 24 left parentheses 1 plus 4 right parentheses,
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Answer:
12·(2 + 7)
Step-by-step explanation:
24 + 84
= 12·2 + 12·7
= 12·(2 + 7)
a square has side lengths. How long is each diagonal?
Answer:the same as sid length
Step-by-step explanation:all sides are the same
What is the 12th term of the geometric sequence if T10 = -6 and r = 3?
The 12th term of the sequence is:
[tex]T_{12} = T_{11}*r = -18*3 = -54[/tex]
How to find the 12th term of the sequence?For a geometric sequence with a common ratio r and a first term T₁, the equation for the n-th term is:
[tex]T_n = T_1*(r)^{n-1} = T_{n-1}*r[/tex]
Such that the second formula (the right one) is called the recursive formula or recursive relation for the sequence.
We know that r = 3, and T₁₀ = -6, then we can use the recursive relation:
T_{11} = T_{10}*r = -6*3 = -18
T_{12} = T_{11}*r = -18*3 = -54
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Insert brackets to make this answer correct: 9 +32 x 10÷2=90
Answer:
the answer is not 90 its 169
Step-by-step explanation:
a square has an area of 169 mm2 what is the side of the length area
The side of the square with area 169 mm² is 13 mm.
The side of the square and it's area are related to each other by the following relation -
Area = side². According to the known fact, all the sides of the square are same..
Keep the value of area in formula to find the value of the length of the side of the square
169 = side²
Side = ✓169
Taking square root of the value of area to find the value of the length of the side of the square
Side = 13 mm
Therefore, the length of the side of the square is 13 mm.
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