Answer: [tex]w^2+4w-36=0[/tex]
Step-by-step explanation:
Let w = width of the base of the shoebox.
As per given ,
Length = 8+2w centimeters
Area of base = 72 square centimeter
Area of rectangle = Length x width
[tex]\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0[/tex]
Required equation: [tex]w^2+4w-36=0[/tex]
Find the perimeter of the shaded region of this composite figure.
Answer:
perimeter of shaded region:
area of rectangle- area of semicircle
l×b‐(pie r²) diameter of circle‐6m; Radius‐3
8×6‐(3.14×3×3)
42— 28.26=13.74m
HOPE IT WILL HELP YOU
30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam
Answer:
30 cents of a dollar is 30% tax paid and 70% not paid.
A dollar is 100 cents.
Step-by-step explanation:
zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.
Answer:
40
Step-by-step explanation:
The initial value of the function is 40, which represents the amount of money she deposits each week
A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650
Answer:
a.
65,000
Step-by-step explanation:
There are 65000 possibilities of 4 character-password
What is a password?A password is a security code that is used for verifying identities
The password has 4 characters.
The password must begin and end with a letter.
So the selections are:
First = 26
Last = 25
The other selections are:
Second = 10 digits
Third = 10 digits
So, the number of password is:
Password = 26 * 10 * 10 * 25
Evaluate
Password = 65000
Hence, there are 65000 possibilities of 4 character-password
Read more about arrangements at:
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what is the slope for (-11, 1) and (-2, 6)?
Answer:
5/9
Step-by-step explanation:
You can verify me by using the y2-y1/x2-x1 formula
At one gas station, gas costs $2.75 per gallon. Complete the equation that relates the total cost, C, to the number of gallons of gas purchased, g.
C = __
Answer:
C = 2.75
Step-by-step explanation:
it does not tell how much there for it is 1 gallon
Please give me the answer from 1 to 10 and tell me how you get it please in a notebook
wow that's a lot lol
1. slope = 0
2. slope = -5
3. slope = 5
4. slope = 0
5. slope= -1
6. slope = -1/2
7. slope = 3
8. slope = -1/10
9. slope = 1/2
10. slope = -1/2
Explanation :
I won't explain every question because that'll take forever but I can explain one step by step.
An example is number 5
You have the points, ( -4 , 5 ) ( 1 , 0 )
You need to use the SLOPE FORMULA
So first put an x1 and y1 below the points -4 and 5.
then put x2 and y2 below the points 1 and 0
the slope formula is m = y2-y1/x2-x1
plug in the numbers which will look like
0-5/1+4
It's plus 4 instead of -4 because a negative and negatives gives you a postivie
Simplify and you get m = -1
I just need to know what elevation did Winston reach during his deepest dive?
Answer: 20.2 * -2.5ft = -50.5ft
Hence, Winston reach -50.5 feet during his deepest dive.
If your question was this: On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was 20 1/5 times the elevation of the ocean’s surface. What elevation did Winston reach during his deepest dive? Then that should be your answer.... I had this question too, and this is what i got....
Hope this helps.... Stay safe and have a Merry Christmas!!!!!! :D
Which choice correctly describes this event? I will roll a die and land on 1 and 3.
A) Impossible
B) Unlikely
C) Likely
D) Certain
This is impossible in 1 roll
the probability is zero
BONUS QUESTION: Earn up to 2 bonus points for this question.
I have a Starbucks reward account. I earn "stars" for every purchase I make. Then I can spend those stars to get free items. My usual drink costs me either $5.45 or 150 stars. Sometimes I get Pumpkin Bread, which costs either $3.15 or 50 stars.
Today I am going to get my usual drink and some Pumpkin Bread. Which item is the better one to use my stars on? Explain why you think that is the better option.
Answer: I would say try and use your 150 stars you’ll save more money for that day and earn more stars.
Step-by-step explanation:Hope this helps!
What is the slope of the line that passes through the points M (4,-5) and N (0, -8)?
A.) -3/4
B.) 13/4
C.) -4/3
D.) 3/4
Answer:
D. 3/4
Step-by-step explanation:
using the y2-y1/x2-x1 to find the slop: -8--5/0-4 = 3/4
Answer:D
yee
Step-by-step explanation:
;-; help pleaseeeeee e e e
Answer:
B
Step-by-step explanation:
Because,
t= the amount of money
w= weeks
+ the 15 when she washed the car
Jacob made $45.50 selling lemonade. He wants to make 15% more the next time he sells his lemonade. How much money does Jacob want to make?
PLEASE HELP!! FREE BRAINLY!! QUICK!
1/3+ 1/8 show your work a with equation
please hurry
Answer: 11/21
Step-by-step explanation:
Answer:
11/24 or 0.453
Step-by-step explanation:
1/3 + 1/8
1/3 × 8/8 = 8/24
1/8 × 3/3 = 3/24
8/24 + 3/24 = 11/24
Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x
Answer:35
Step-by-step explanation:
take 180 and subtract those numbers and u get ur answer
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot
Answer:
20.62 feet
Step-by-step explanation:
The ladder propped against a building forms a right angle triangle
Height of the ladder (hypotenuse) = 21 feet
Base of the ladder from the building (adjacent) = 4 feet
Height of the building (opposite) = x feet
Hypotenuse ² = opposite ² + adjacent ²
21² = x² + 4²
21² - 4² = x²
441 - 16 = x²
425 = x²
x = √425
= 20.62 feet
Answer: 20.62 ft or rounding it to 20.6 ft
Step-by-step explanation:
the opposite of 5x and 5x+8?
the opposite or addictive increase of 5x is -5x.
the opposite or addictive increase of 5x + 8 is -5x -8.
Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .
A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?
Answer:
14.5 ft
Step-by-step explanation:
We are told that the model car is built to a scale of 1 in. : 2.5 ft.
That means 1 inches represents 2.5 ft in actual measurement.
Thus, for a 5.8 inch long model, the real life measurement is;
(5.8 inch × 2.5 ft)/1 inch = 14.5 ft
PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.
Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4
Answer:
Answers are in bold
Step-by-step explanation:
Part 1A
Use the Zero Product Property to find the x-intercepts:
0=-(x+4)(x-1)
0=(x+4)(x-1)
0=(x+4)
-4=x
x=-4
0=(x-1)
1=x
x=1
So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)
For the y-intercepts, plug in x=0:
f(x)=-(0+4)(0-1)
f(x)=(-4)(-1)
f(x)=4
So the y-intercept is y=4 which is also (0,4)
Part 1B
In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k
For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:
f(x)=-(x+4)(x-1)
f(x)=-(x^2+3x-4)
f(x)=-x^2-3x+4
So now we know a=-1 and b=-3, therefore we can plug them in:
x=-b/2a
x=-(-3)/2(-1)
x=3/-2
x=-3/2
x=-1.5
So the equation of the axis of symmetry is x=-1.5
Part 1C
We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:
f(x)=-(-1.5+4)(-1.5+1)
f(x)=-(2.5)(-0.5)
f(x)=-(-1.25)
f(x)=1.25 <-- y-coordinate
So the coordinates of the vertex are (-1.5,1.25)
Part 1D
See the image below
I'll let someone else do the last 4 questions as I am unable to answer them.
solve for c
solve for r
Answer:
Step-by-step explanation:
9(c+7)=27
9c+63=27 subtract 63 from both sides
9c= -36 divide by 9
c= -4
3(2r-8)+4r=76 foil
6r-24+4r=76 combine like terms
10r-24=76 add 24 to both sides
10r+100 divide by 10
r= 10
2x - 3y = 6
Find the x and y Intercepts
Answer:
x-intercept(s): (3,0)
y-intercept(s): (0,−2)
Step-by-step explanation:
Answer:
x=3 and y=-2
Step-by-step explanation:
2x - 3y = 6
cancel out the y
2x - 3(0) = 6
2x = 6
divide both sides by 2
x = 3
2x - 3y = 6
cancel out the x
2(0) - 3y = 6
-3y = 6
divide both sides by -3
y = -2
Hope this helps!!
Divide 6 divided by 3/5
Answer only if u know please:)
Answer:
The answer is 10 or 10/1
What is the initial value in this question y=8x+6 8 or 6?
Answer:
it should be an 8
Step-by-step explanation:
The initial value in this question y = 8x+6 will be 8 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The equation is given as;
y = 8x+6
We can see that the equation contains two terms that are 8x and 6.
The initial value is the first number of the first term in the equation.
Here, the first term is 8x.
Hence, the initial value in this question y = 8x+6 will be 8 .
Learn more about equations here;
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help plz brainliest to best answer
Answer: -1/27
Step-by-step explanation:
Answer:
-1/27
Step-by-step explanation:
how to find an opposite ray?
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.
A. 9,10 B.10,8.3 C. -10,8.3 D-9,10
can someone please answer this
Answer:
y = -0.6x + 24.6
Step-by-step explanation:
What is the sum of the exterior angles, one at each vertex, of any polygon?
Answer:
Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
Which strategy below would NOT get you an
accurate estimation of 33% of 146.7?
A) Round the percent and find 30% of 146.7
B) Round the number and find 33% of 150
C) Use benchmark percent and find 50%
of 146.7
D) Round the percent and number and
find 30% of 150
E) All of them would be an accurate
estimation,
Answer:
C) Use benchmark percent and find 50%
of 146.7Step-by-step explanation:
Accurate estimation of 33% of 146.7
A) Round the percent and find 30% of 146.7
Acceptable, rounded down the %B) Round the number and find 33% of 150
Acceptable, rounded up the numberC) Use benchmark percent and find 50%
of 146.7
NOT acceptable as 50% is too much for 33%D) Round the percent and number and
find 30% of 150
Acceptable, both % and the number roundedE) All of them would be an accurate estimation
No, option C onlySimplify the following equation (2^3)^-2