Answer:
Mary spent 6000 on expenses
Step-by-step explanation:
Given f(x)=2x^3+kx-9f(x)=2x 3 +kx−9, and the remainder when f(x) is divided by x−2 is 23, then what is the value of k?
Given:
The function is
[tex]f(x)=2x^3+kx-9[/tex]
The remainder when f(x) is divided by x−2 is 23.
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get
[tex]f(2)=23[/tex] ...(i)
Put x=2, to find the value of f(2).
[tex]f(2)=2(2)^3+k(2)-9[/tex]
[tex]f(2)=2(8)+2k-9[/tex]
[tex]f(2)=16+2k-9[/tex]
[tex]f(2)=2k+7[/tex] ...(ii)
Using (i) and (ii), we get
[tex]2k+7=23[/tex]
[tex]2k=23-7[/tex]
[tex]k=\dfrac{16}{2}[/tex]
[tex]k=8[/tex]
Therefore, the value of k is 8.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A
customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice
cream cones can a customer order?
FIRST CORRECT ANSWER WILL GET BRAINLIEST!!! PLS helppp
prove that 5^7+5^6 is divisible by 6
First, I solve the equation: 5^7+5^6...
I got 93750
--
The divisibility rules of 6 are:
It must be divisible by 2It must be divisible by 3So, let's check if 93750 is divisible by 2 first.
It's in even number which automatically means that it is divisible by 2.
No odd numbers are divisible by 2
--
Now let's check if it is divisible by 3 second.
The divisibility rules of 3 are:
The digits added must be divisible by 3So, 9 + 3 + 7 + 5 + 0 = 17
17 is NOT divisible by 3.
--
Therefore, your equation is not divisible by 6!
please help ASAP !!!!!
Answer:
I got you
Step-by-step explanation:
you just gotta get good kid :D
6a+5=5 what is a in the equation?
Answer:
a = 0
Step-by-step explanation:
Given
6a + 5 = 5 ( subtract 5 from both sides )
6a = 0 , then
a = 0
Find the volume of the rectangular prism.
Answer:
Step-by-step explanation:
The volume of a rectangular prism is
V=xyz, where x,y,z are the three dimensions, in this case
V=10(4.5)6.25
V=281.25 ft^3
Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
Step-by-step explanation:
Remark
The formula you use is (Electricity / Total Income ) * 100
The ratio becomes 53.7/1725 * 100%
The ratio is 53.7/1725 * 100 = 0.03113 * 100
The % = 0.03113 * 100 = 3.113
To the closest tenth that is 3.1%
What is the volume of the cone shown below?
Answer:
it c
Step-by-step explanation:
Combine like terms: 2 + 4p – 6p – 3
Answer:
-2p - 1
Step-by-step explanation:
[tex]\text{Combine like terms.}\\\\2+4p-6p-3\\\\4p-6p+2-3\\\\\boxed{-2p-1}\\\\\\\text{Hope this helps!}[/tex]
Answer:
-1 - 2p
Step-by-step explanation:
2 + 4p - 6p - 3
Combining like terms are adding or subtracting the numbers kinda look the same. To make it simple.
2 + 4p - 6p - 3
2 - 2p - 3
-1 - 2p
That’s as far as you can go because they didn’t tell you to solve it neither is there an equal sign.
Help me ASAP!!!!!
See picture attached
n=18 is the correct answer to the question
A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower bed is 6 in. by 8 in. The length and width of the actual flower bed will be 24 times larger than the length and width in the drawing.
(a) What is the perimeter of the drawing? Show your work.
(b) What is the perimeter of the actual flower bed? Show your work.
(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show your work.
(a). Perimeter of the drawing = 28 in.
(b). Perimeter of the actual flower bed = 672 in.
(c). Perimeter of the actual flower bed is 24 times the perimeter of the
drawing.
Perimeter of a rectangle: Perimeter of a rectangle is given by the expression,
Perimeter = 2(Length + Width)
Given in the question,
Length of the flower bed in the drawing = 6 in. Width of the flower bed in the drawing = 8 in. Actual length and width of the flower bed is 24 times longer thanthe length and width in the drawing.
a). Perimeter of the drawing = 2(length + width)
= 2(6 + 8)
= 28 in.
b). Length of actual flower bed = 24(Length of the flower bed in drawing)
= 24(6)
= 144 in
Width of the actual flower bed = 24(width of the flower bed in drawing)
= 24(8)
= 192 in
Perimeter of the actual bed = 2(144 + 192)
= 672 in.
c). [tex]\frac{\text{Perimeter of the flower bed in drawing}}{\text{Perimeter of the actual flower bed}}[/tex] = [tex]\frac{28}{672}[/tex]
[tex]\frac{\text{Perimeter of the flower bed in drawing}}{\text{Perimeter of the actual flower bed}}=\frac{1}{24}[/tex]
Perimeter of the actual flower bed = 24(perimeter of the flower bed in drawing)
Therefore, (a) Perimeter of the the drawing = 28 in.
(b) Perimeter of the actual flower bed = 672 in.
(c) Perimeter of the actual flower bed is 24 times the
perimeter of the drawing.
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What is the slope of the line that passes through the points (1, 2) and (3, 12)?
Answer:
Slope is 5
Step-by-step explanation:
(1, 2) and (3, 12)
m= (y2-y1)/(x2-x1)
m= (12-2)/(3-1)
m= 10/2
m= 5
Veronica and Chad are walking down the street. Veronica walks at a speed of 5 miles per hour, and Chad walks at a speed of 4 miles per hour. Write an equation for the distance(d), in miles, each person walks over time(t), in hours. Do the equations represent linear functions?
Answer:
Veronica:
d=5t
Chad:
d=4t
Step-by-step explanation
yes they do represent linear equations
Find the commission.
Earning Commission
Sales Commision Rate Commission
$720
7%?
Answer:
$50.4
Step-by-step explanation:
The Commission is $50.4 of the sale.
7% of 720 = 50.4
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
The value of x is given from proportion and x = 9
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first polygon and second polygon be similar
So , the ratio of their corresponding sides will also be similar
Substituting the values in the equation , we get
( x -1 ) / 6 = 16 / 12 be equation (1)
On simplifying the equation , we get
Multiply by 6 on both sides of the equation , we get
( x - 1 ) = ( 16 x 6 ) / 12
( x - 1 ) = 16 / 2
On simplifying the equation , we get
x - 1 = 8
Adding 1 on both sides of the equation , we get
x = 9
And ,
( y + 1 ) / 21 = 32 / 24 be equation (2)
On simplifying the equation , we get
Multiply by 21 on both sides of the equation , we get
( y + 1 ) = ( 4 x 21 ) / 3
y + 1 = 4 x 7
y + 1 = 28
Subtracting 1 on both sides of the equation , we get
y = 27
Hence , the value of x is 9
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Kenneth earns $9 per hour mowing lawns. The total amount earned t equals the amount earned per
hour times the number of hours h. Which equation gives the total amount earned tif Kenneth worksh
hours?
T=9h
I probably anwserd Late also I was stumped on this to
5. The cost of a flower vase is Rs 120. If the shopkeeper sells it at a loss of 10%, find the price at
which it is sold.
an
Please help me with the question I asked I’m doing a text please.
Answer:
Wait, what question?? I can try to do it.
Does the set of numbers form a Pythagorean triple? Explain.
2, 3, 4
Choose the correct answer below.
o
No, because the given numbers do not satisfy the equation a? + b2 = c?.
Yes, because the given numbers satisfy the equation a? + b2 = c?
No, because the given numbers satisfy the equation a² + b2 = c?.
Yes, the given numbers do not satisfy the equation a? + b2 = ca.
O
Answer:
No because the given numbers do not satisfy the equation a² + b² = c²
Answer:
No, because the given numbers satisfy the equation a^2+b^2=c^2.
Step-by-step explanation:
The Pythagorean triple 2, 3, 4. We can put it in our formula, a^2+b^2=c^2. So, that will equal:
2^2+3^2=4^2
(4+9.....16)?
And 4+9=13, which does not equal 16. So No, because the given numbers satisfy the equation a^2+b^2=c^2 is correct.
If you liked this solution, be sure to hand out a Brainliest. Thank you so much.
DUBS, Signing off.
I need help with these questions (see image). Please show workings.
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)What is the value of x that makes the equation from the model true.
5x+6×1=1
5x+6=1
5x= -5
x= -1
How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)
Answer:
Step-by-step explanation:
Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.
Answer:
It moves to the right 2
Step-by-step explanation:
:)
HELP PLEASE
I WILL GIVE YOU BRAINLIEST
Answer:
x = - 4, x = 1
Step-by-step explanation:
The solutions to the quadratic are the values of x where the graph crosses the x- axis.
The graph crosses the x- axis at x = - 4, x = 1
Thus the solutions are x = - 4 , x = 1
please solve for x.
Answer:
127 degrees
Step-by-step explanation:
All the degrees in a pentagon need to equal 540. Add up the degrees known and then subtract from 540.
good luck!! <3
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS
Answer:
Step-by-step explanation:
SAS
Answer:
AAS
Step-by-step explanation:
Please help asap !!!
Answer:
B
Step-by-step explanation:
The domain (x) continues to go to both positive and negative infinity (all real numbers). The range (y) can only continue to go more than -12.
Jose bought 9 movie tickets for a total of $54. Adult tickets cost $8 each and child tickets cost $3.50. How many adult tickets did he buy?
Answer:
5
Step-by-step explanation:
5 x 8 = 40
3.50 x 4 = 14
Natalie and Maria left the school at 3:05 pm.They walked for 14 minutes before arriving at Maria's house. What time did they arrive at Maria's house?
Answer:
They arrived at her house at 3:19
18. When an article is sold for $100 a profit of 25% is made on the cost price. What is the cost price?
Answer:
$80
Step-by-step explanation:
100/1.25 = 80
The cost price of the article that makes a profit of $100 will be $400.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
When an article is sold for $100 a profit of 25% is made on the cost price.
Let 'x' be the cost price of the article. Then the equation is given as,
25% of x = $100
Simplify the expression, then we have
0.25x = $100
x = $100 / 0.25
x = $400
The cost price of the article that makes a profit of $100 will be $400.
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