The volume of box at x = 4 is, 100 cubic units
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
The volume of the box is modeled by the function,
⇒ V (x) = 5x² + 5x
Now, At x = 4;
The volume of the box is,
⇒ V (x) = 5x² + 5x
⇒ V (4) = 5 × 4² + 5 × 4
⇒ V (4) = 5 × 16 + 20
⇒ V (4) = 80 + 20
⇒ V (4) = 100 cubic units
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The graph of a linear function is shown.
Which word describes the slope of the line?
positive
negative
zero
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2(4+c)=67 help solve for c
Answer:
c = 29.5 or
c = 59/2
Step-by-step explanation:
2 (4 + c) = 67
8 + 2c = 67
8 - 8 + 2c = 67 - 8
2c = 59
c = 29.5
State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386
FOOD $804
CHILD CARE $1,709
Transportation $1,235
HEALTH CARE $908
OTHER NECESSITIES $884
TAXES $1,483
Monthly Total $8,409
Annual Total $100,909
Answer:
these teachers b expectin u to do this bs
Step-by-step explanation:
are irrational numbers intergers
Answer:
No they are not intergers
Step-by-step explanation:
Hope this helps
What are the solutions to the quadratic equation 3(x − 4)2 = 75?
x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9
Answer:
x=-1 and x=9
Step-by-step explanation:
[tex]3(x-4)^{2} =75[/tex]
[tex](x-4)^{2} =\frac{75}{3}[/tex]
[tex](x-4)^{2}[/tex]=[tex]25[/tex]
[tex](x-4)(x-4)[/tex]=[tex]25[/tex]
[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16-25=0[/tex]
[tex]x^{2} -8x-9=0[/tex]
[tex](x-9)(x+1)=0[/tex]
[tex]x-9=0\\x=0+9\\x=9[/tex] [tex]x+1=0\\x=0-1\\x=-1[/tex]
therefore x=9 and x=-1
Answer:
the answer is d x = −1 and x = 9
Step-by-step explanation:
Please help! Due tonight
Answer:
what grade you in
this looks like 4th grade
Solve for the indicated variable.
A = LW, solve for W
Please Help Me!!!! ;)
Answer:
Value of x: 110
Step-by-step explanation:
5+5=10
120-10=110
I Need A Expert To Answer This! Find The Measure Of The indicated Angle In The Diagram.
Answer:
So,you're answer will be 21°{degree}..
Answer:
m∠YPQ = 159°
Step-by-step explanation:
m∠QRP = 107
m∠RQP = 52
m∠RPQ = x
m∠QRP + m∠RQP + m∠RPQ = 180°
107 + 52 + x = 180
159 + x = 180
x = 21°
m∠RPQ = x = 21°
m∠RPQ + m∠YPQ = 180°
21° + m∠YPQ = 180°
m∠YPQ = 159°
in Haritha haram,108,84 and 60 saplings of mango guava and sapota are supplied .find the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted
Answer: 21
Step-by-step explanation:
Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.
Since, 108 = 2 x 2 x 3 x 3 x 3
84 = 2 x 2 x 3 x 7
60 = 2 x 2 x 3 x 5
HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]
= 12
Greatest number of plants in each row = 12
Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]
Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]
Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]
Total rows = 9+7+5= 21
Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted = 21
What is the equation of the line?
Answer:
y = 2/3x + 4
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
definition of congruence: if
Answer:
a statement that two numbers or geometric figures are congruent.
Step-by-step explanation:
Rate me please
Answer:
Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.
Step-by-step explanation:
Pleaseee help me with my math show work please I need the work
I'm sorry the photo is on a side. I'm too lazy to text it on here lol
Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.
Answer:
[tex]\sqrt{\frac{9}{2} }[/tex]
Step-by-step explanation:
Given dimensions:
The right angle system is a 45 - 45 - 90
Hypotenuse = 3cm
Unknown:
Adjacent and opposite sides = ?
Solution:
In this triangle, the adjacent and opposite sides are equal to one another. So,
Let adjacent = y
opposite = y
For right angle triangles as this, using the Pythagoras theorem,
hypotenuse² = adjacent² + opposite²
Insert the parameters and solve;
3² = y² + y²
2y² = 9
y² = [tex]\frac{9}{2}[/tex]
y = [tex]\sqrt{\frac{9}{2} }[/tex]
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
$36
Step-by-step explanation:
Tristan paid $50 for the tickets of the school play and was given $23 as change. The amount Tristan paid for the ticket is given as:
Price for ticket = amount paid - change = $50 - $23 = $27
Price for ticket = $27
Given that the ticket was sold at 25% off. Let x be the original price of the ticket, therefore:
x - 25% of x = $27
x - 0.25x = 27
0.75x = 27
x = 27/ 0.75
x = 36
Therefore the original price of the ticket is $36
Answer:
27.00
Step-by-step explanation:
Round 463,751 to the nearest hundred.
Answer:
463,800
Step-by-step explanation:
:) watch this be wrong lol
5. Express 12⁄16 in quarters.
a. 1⁄4
b. 1⁄3
c. 2⁄4
d. 3⁄4
Answer:
D
Step-by-step explanation:
Divide 16 by 4 to get the denominator of 4. Then divide 12 by 4 to get three. Therefore your answer is D. 3/4
Answer:
3/4
Step-by-step explanation:
All I did was divide the top and bottom number by 4. 12/4= 3 and 16/4=4
Hi hope your having a good day please answer this
17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.
A. similar figures
B. scale factor
C. scale
D. congruent figures
Answer:
A
Step-by-step explanation:
What is the value of 5(a-4b) when a= -7 and b= 0.25
Answer:
-40
Step-by-step explanation:
5(-7-4[0.25])
5(-7-1)
-35-5
-40
larry gets a 5% wage rise. his new wage is £252 per week. what was larrys wage before his wage rise
The raise was 5% which is 0.05 as a decimal.
For his new rate his original rate was multiplied by 1.05 ( original + 5%)
To find original amount, divide new amount by 1.05:
252 / 1.05 = 240
His original pay was £240
You can check by multiplying the original pay by 5% and adding:
240 x 0.05 = 12
240 + 12 = 252
Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x
which of the following explains why soft drinks are such an unhealthy choice?
A. one soft drink contains about 25% of daily caloric intake
B. one soft drink contains nearly an entire daily allowance for sugar
C. the carbonation contains unnatural additives that contribute to obesity
D. the carbonation is a preservatives that also adds sugar
Answer:
A or B
Step-by-step explanation:
PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
What is 6+6+2
need to actually ask something to give away points or the bots will report lol
Answer:
14
Step-by-step explanation:
because 6+6 is 12 and add 2 is 14
Help me please find x to this answer I'm very desperate.
Answer:
I'm not 100% sure if I did it right but I got x=1
Step-by-step explanation:
They are equal to each other cause it is an isosceles triangle
10x-3=5x+2
add the 3 to both sides
10x=5x+5
subtract the 5x from both sides
5x=5
divide the 5 from both sides
x=1
What is the equation of the line that passes through the point (5,-7) and has a
slope of zero?
Answer:
y=-7
Step-by-step explanation:
With a slope of zero there will be no x so you delete the slope from the equation y=0x-7 would become y=-7.
Answer:
Answer
5.0/5
8
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Answer:
y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.
Step-by-step explanation:
Given:
Let,
A ≡ ( x1 , y1 ) ≡ ( -2, 7 )
Slope = m = 0
To Find :
Equation of Line:
Solution:
Formula for , equation of a line passing through a point ( x1 , y1 ) and having a slope m is given by
Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,
Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero
Step-by-step explanation:
Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
Please help!!! Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
I
Answer:
22 posts
Step-by-step explanation:
on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22
Five more than a number g is six less than twice a number h. Solve for g.
Answer:
g=2h-11
Step-by-step explanation:
You need to make the two sides equal, so add 6 to the left side:
[tex](g+5)+6=2h[/tex]
Solve for g
[tex]g+5+6=2h\\\\g+11=2h[/tex]
Isolate g
[tex]g=2h-11[/tex]
2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.
a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?
Answer: kindly check explanation
Step-by-step explanation:
Given the following :
Total area of parknand path way = 74,464 m2.
Dimension of park = 350m by 200m
Using the area of rectangle formula:
Area = Length * width
Area of park = 350m * 200m
Area of park = 70,000
Area of path = (74,464 - 70,000) = 4,464m2
Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m
2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path