Given:
Consider the below figure attached with this question.
The rate of change of the linear function is -8.
To find:
The value of a.
Solution:
If a linear function passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change of the linear function is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:
[tex]m=\dfrac{a-27}{11-10}[/tex]
[tex]m=\dfrac{a-27}{1}[/tex]
[tex]m=a-27[/tex]
The rate of change of the linear function is -8.
[tex]-8=a-27[/tex]
[tex]-8+27=a[/tex]
[tex]19=a[/tex]
Therefore, the value of a is 19.
Answer:
it is C
Step-by-step explanation:
the sum of the 13th square number and the 4th cube number?
Answer:
13th square number+4th cube number=233
Step-by-step explanation:
[tex]13^{2} +4^{3}[/tex]=233
The value of the sum of the 13th square number and the 4th cube number will be 223.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,
⇒ (13)² + (4)²
Simplify the numerical expression, then we have
⇒ (13)² + (4)³
⇒ 169 + 64
⇒ 223
The value of the sum of the 13th square number and the 4th cube number will be 223.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
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The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
[tex]C=28.3m[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]d=9m[/tex]
Radius[tex]r=4.5m[/tex]
Generally the equation for Circumference of a circle is mathematically given by
[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]
[tex]C=28.3m[/tex]
Answer:
Step-by-step explanation:
From the question we are told that:
Diameter
Radius
Generally the equation for Circumference of a circle is mathematically given by
Have a good day
Step-by-step explanation:
A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?
Answer:
$36,575 is the new tuition
express your answer as a polynomial in a standard form.
Quick, What is the value of x?
A. 2
B. 3
C. 6
D. 7
Answer:
Im pretty sure the answer is b using the formula
How much carpet would be needed to cover the area in the figure?
Answer:
28 square yards
Step-by-step explanation:
3^8 times 3^2, using properties of exponents
Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]
The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.
Vhich type of sequence is shown? Check all that apply.
4, 8, 12, 16, ...
The numbers are quickly getting larger, so this is a geometric sequence.
The numbers are slowly getting larger, so this is an arithmetic sequence.
This is an arithmetic sequence because there is a common difference of 4 between each term.
This is a geometric sequence because there is a common ratio of 2 between each term.
Add 4 to the last term to extend this arithmetic sequence.
Multiply the last term by 2 to extend this geometric sequence.
Answer:
This is an arithmetic sequence because there is a common difference of 4 between each term.
Add 4 to the last term to extend this arithmetic sequence
Step-by-step explanation:
Which calculation shows the best method for estimating the result of 384 divided by three-sixteenths?
Answer:
the answer to this is 2048
Step-by-step explanation:
Answer: B
Step-by-step explanation: Just round
find the T.A for the prism
Answer:
I dont know
Step-by-step explanation:
I have no clue I know nothing about math
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3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4
Answer:
O 3x+12
Step-by-step explanation:
3(x + 4) = (3 · x) + (3 · 4)
= 3x + 12
hey guys ... just want to make this answer sure... subtract 2x²+3x+6 from 3x²+5x+7=? A)x²+2x+1 or
B)x²+8x+13
Answer:
answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1
= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms
= x² + 2x + 1 → A
Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of each gallon of ice cream?
Answer: $4.88
Explanation: $20.00-$5.36= $14.64
$14.64÷3= $4.88
A rectangle has a perimeter of `52` cm. Its width is `9` cm.
what is the length of the rectangle
Answer:
The length is 17 cm.
17+17+9+9 adds up to 52.
Elimination method
a-b=3
2a+3b=b
Answer:
a=3/2 b=-1 1/2
Step-by-step explanation:
525/4 ÷ 35/4 need the answer quick
Answer:
15
Step-by-step explanation:
525/4 ÷ 35/4
=525/4 x 4/35
=525/35
=105/7
=15/1
=15
I need help please please!!!
Answer:
y = 91
Step-by-step explanation:
y = 5² + 10(5) + 16
y = 25 + 50 + 16
y = 91
add the following decimals
Answer:
148.91
Step-by-step explanation:
hope it helps<333
find the value of x.
Answer:
x = 83 degree
Step-by-step explanation:
x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)
x = 126 - 43
x = 83 degree
Answer:
83 degrees
Step-by-step explanation:
To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.
This equals 54 degrees.
Now, 54 + 43 equals 97.
Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.
what is the smallest number that can be subtracted from 376234 to make it divisible by 11
Answer:
Odd:: 8+7+9=24
Even:: 2+8=10
So difference of odd and even is 24-10=14
Reducing 3 from this will make the difference (14–3) divisible by 11.
So the number to be subtracted is 3
And the number is 82786.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?
Answer:
16 pots
Step-by-step explanation:
We first need to find out the amount of dirt that can be filled into a single flowerpot.
We use the formula to find the cylinder's volume.
π[tex]r^{2}[/tex][tex]* h[/tex]
Height is equal to ten, Radius is equal to 7.
49π [tex]* 10[/tex]
≈ 1539.38
25,000 divided by 1539.38
≈ 16.24
He can fill 16 pots fully.
A regular decagon has a radius of 8 cm.
What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.
188 cm2
198 cm2
304 cm2
375 cm2
Answer:
188cm^2
Step-by-step explanation:
A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²
What is a decagon?A decagon is a polygon with 10 sides.
Therefore, the approximate area of a decagon can be found as follows:
area of decagon = r²sin(360/n) / 2 × 10
where
r = radius
n = number of sides
Therefore,
r = 8 cm
area of decagon = 8² sin (360/ 10) / 2 (10)
area of decagon = 64 sin 36 / 2 × 10
area of decagon = 64 × 0.58778525229 / 2 × 10
area of decagon = 37.6182561467 / 2 × 10
area of decagon = 18.8091280734 × 10
area of decagon = 188 cm²
learn more on decagon here: https://brainly.com/question/27314677
Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answer:
she needs 200 more$
Step-by-step explanation:
Question 1 Multiple Choice Worth 1 points)
(01.05 LC)
Solve for x: -7 < X -1 <8
Answer:
-6 < x <9
Step-by-step explanation:
-7 < X -1 <8
Add 1 to all sides
-7+1 < X -1+1 <8+1
-6 < x <9
Answer:
D
Step-by-step explanation:
Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.
Answer:
a) 21/50 -> 42%
b) 7/10 ->70%
c) 3/5 -> 60%
d) 59/100 -> 59%
Step-by-step explanation:
I hate math, but math "love" me, keep on sticking to me.
what is the equation of the red graph? g(x)=? A. g(x)=-x^2 B. g(x)=x^2 C. g(x)=(4-x)^2 D. g(x)=(8-x)^2
the answer of course is bobbies
Answer
the answer if b in the above
What portion of shared $7500 security costs should be apportioned to store A?
Answer:
3,750
Step-by-step explanation:
2500+1250+625+625=5000
2500/5000=.50 or 50%
7500X.50=3750
Help me with this one plz
Answer:
-1 is the only number there that is an integer as all the rest of them are mixed fractions.
Answer:
- 1
Step-by-step explanation: