[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Volume of a rectangular prism is ~
[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]
So, the correct choice is B
pleaseee helpp meeee
Answer:
9 sides
Step-by-step explanation:
Formula for finding interior angles of all polygons : 180 ( n - 2) / n = A
(n being the amount of sides it has)
This information is important so you can plug in the numbers that you already know
We know that the interior angle measures to 140 degrees
180 (n - 2) / n = 140
multiply both sides by "n"
(n - 2) x 180 = 140n
Distribute 180 to what's inside the parenthesis
180n - 360 = 140n
Subtract 140n and add 360 to each side (which just moves 360 to the other side of the "="
40n = 360
Divide 40 by both sides
n = 9
hope this helps :)
A polygon GHIJ is inscribed in a circle. If m angle G H I equals 72 degree and m angle H I J equals 60 degree, what is m angle I J G?
A circle with an inscribed polygon G H I J.
m angle I J G equals _(blank)_ degree
The measure of angle IJG in the inscribed quadrilateral is calculated as: 110°.
What are the Opposite Angles of an Inscribed Quadrilateral?The opposite angles in a inscribed quadrilateral in a circle are said to be equal to 180 degrees, that is, they are supplementary.
angle IJG and angle GHI are opposite angles, therefore:
Angle IJG = 180 - angle GHI
Angle IJG = 180 - 70
Angle IJG = 110°
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Anna is 12, she is 5'3, 107 pounds, and her shoe size is 6 (girls, USA shoe size). however, she is trying to buy womens shoes and doesn't know which shoe size would fit her good. What size would fit her feet?
Answer:
Size 8
Step-by-step explanation:
A woman's size 8 in kids is a 6 or 6.5 youth shoe size.
PLEASE HELP ILL MARK BRAINEST!! WHAT IS THE RISE, RUN, AND F(X).
Answer:
First question (on left) f(x) = 5x-3. second question (on right) f)x) = 1/2*x
Step-by-step explanation:
rise(left) 4. run (left) 20.
rise(right) 8. run(right) 4.
f(x)=2x-3 and g(x)=x^2+1, find g(f(x))
Answer:
f(x)=2x-3, substitute the expression for g(x) in f(x)
f(x) = 2(x^2 + 1) - 3
f(x) = 2x^2 + 2 - 3
f(x) = 2x^2 - 1
In the diagram below, perpendicular lines e and g are intersected by line f. Based on the angle measures in the diagram, what is the value of x?
Answer:
x = 43
Step-by-step explanation:
the angle in the triangle is vertically opposite 47° and is congruent
the sum of the 3 angles in the triangle = 180° , then
90 + 47 + x = 180
137 + x = 180 ( subtract 137 from both sides )
x = 43
 Janet Henderson is a secretary. She works Monday to Friday every week. If she worked a
total of 44.5 hours this week, and her regular pay is $11.46 per hour. What is Janet's
overtime pay?
Answer: Janet's overtime pay is: " $ 17. 19 per hour ."
→ and specifically: " $ 77.36 " ;
→ [for the 4.5 hours of overtime pay worked Within the total 44.5 hours Janet worked within the particular Monday to Friday workweek as given within this particular Brainly question/].
__________
Step-by-step explanation:
__________
Note: Let us assume that up to and including "40 hours within a workweek" is paid as a "base rate of regular pay"—and that any hours worked over "40 hours" count as "overtime hours.."
Furthermore: Let us assume that "overtime pay" is paid at the rate of "time and a half". This means that any and all hours worked over 40 hours are "overtime hours"—and that these "overtime hours" are paid at the rate at "1.5 times" the rate of the regular hourly rate.
__________
Note: A secretary is typically a job that is paid by the "hour"; as opposed to certain management positions (which are paid by "salary").
→ So, we shall assume that the secretary, "Janet Henderson", is a "hourly worker"—who is "non-exempt" from being paid "overtime."
→ So, first, given: Janet Henderson worked Monday through Friday for a total of "44.5 hours."
Note: This amount: "44.5 hours" ; is over "40 hours."
{i.e. " [44.5 hours] > [40 hours] ".}.
Note: Any and all hours Janet earned in excess of 40 hours are considered : "overtime hours."
Now: Let us calculate the number of "overtime hours":
→ We subtract: "40"; from the actual amount of hours Janet worked [which is "44.5 hours"] ;
→ " (44.5 − 40) hours " ;
= " 4.5 hours " (of overtime worked).
Now, we are given that Janet's regular pay is: " $ 11.46 per hour."
→ To solve: Find the value of: " (1.5) * ($ 11.46) " ;
Method 1) Use a calculator: to get: " 17. 19 " .
→ The answer is: " $ 17.19 per hour."
Method 2)
→ " 11.46 + [(1/2)* 11.46] " ;
= "11.46 + (11.46 /2)" ;
Note: Let us start by calculating: "(11.46 / 2)" ; that is: "(11.46 ÷ 2)" .
Method A) Note: " 11.46 ÷ 2 = 5.73 " ; → {Using a calculator.}.
Method B)
Using long division; to get: "5.73 " ; as follows:
5.73
2⟌ 11.46
- 10
1.46
- 1.4
0.06
- 0.06
0.00 .
Now: We can write the expression:
→ " 11.46 + [(1/2)* 11.46] " ; as:
→ " 11.46 + 5.73 " ; & then calculate (add the values);
to get" 11.46 + 5.73 = " 17. 19 "
So; Janet's overtime pay is $17.19 per hour.
Other:
To find the specific, exact dollar amount of overtime pay earned for the "4.5 hours" of overtime worked in the particular Monday to Friday workweek as given within the actual question:
→ We multiply this amount—"17.19 dollars"— by the number of overtime hours that Janet worked—"4.5 hours"—as follows:
→ " [tex]\frac{17.19 dollars}{hr} *\frac{4.5 hr}{1}[/tex] " ;
→ The units of "hr" ["hour(s)"] cancel out to: "1 ";
→ {since: ["hr/ hr " = 1 .] } ;
And we have:
→ " (17.19 dollars * 4.5) = _? dollars " ; Solve for: {the "_?_" value.}:
Using a caculator: We get:
→ 77.355 dollars; ⇒ write as: $77.355 ; round to: " $ 77.36 " .
________
Hope this is helpful to you!
Best wishes to you in your academic pursuits!
________
ASAP!!! PLEASE HELP & EXPLAIN.
Answer:
B
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x-axis.
so because the only parts shown on the x axis are 6 and -6 that is the answer!
hope this helps!
10. In a sale, the price of a digital camera is reduced by 18%.
The new price of the camera is £287.
(a) Work out the price of the camera before the sale
Answer:
£350
Step-by-step explanation:
287/0.82
A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is
Answer:
prob of being a red=1/2
prob of being an ace=1/13
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
x ≈ 17.5
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )
x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )
7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
14. [tex]h(x)=\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4}+1} d z[/tex]
[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]
What is the probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
On an unbiased die, the probability of rolling a 3 would be a 1/6 since there are 6 numbers and the chosen outcome is 1/6.
Answer:
3/36 (8.333%)
Step-by-step explanation:
On a two (6 sided) dice roll probability table is
3. 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)
There were 16 teams that competed in men's ice hockey at the Salt Lake City Olympics of 2002.
Find the number of permutations for the gold, silver, and bronze metals at the awards ceremony.
Answer:
3360.
Step-by-step explanation:
That would be the number of permutations of 3 from 16.
= 16P3
= 16!/(16-3)!
= 16*15*14
= 3360
Answer:
3 360 permutations
Step-by-step explanation:
the number of permutations :
16P3 = 16 × 15 × 14 = 3 360
how to convince your parents to go shopping for clothes?
Answer:
Be Nice & Have Manners.
Step-by-step explanation:
Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.
Casper collected 108 old baseball cards. He then bought new baseball cards to increase his collection by 25%. How many new baseball cards did he buy?
Answer:
27
Step-by-step explanation:
what I did is used a calculator and did 108 x 0.25 (25% as a decimal)
A farm has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
Find the amount of tax the farmer must pay.
Step-by-step explanation:
1 km² = 1km×1km = 1000m × 1000m = 1000000 m²
5 km² = 5000000 m²
so, he has to pay 5000000p as tax.
The amount of tax the farmer must pay is 50000 Rupees.
What is tax ?A compulsory contribution the government has levied on people's income is called the tax , It is of various types and the money accumulated from that is used for the development of the nation.
It is given that the farmer has an area of 5 km²
The farmer must pay 1p tax for each m² of land he owns.
5km² = 5 * (1000)² m²
Area = 5 *10⁶ m²
The amount of tax the farmer needs to pay is
= 1* 5* 10⁶
= 5000000 p
100p = 1 rupees
= 50000 Rupees
Therefore the amount of tax the farmer must pay is 50000 Rupees.
To know more about Tax
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In a circle with radius 4, what's the
area of a sector with a central
angle that measures 132 degrees?
Answer:
18.43 units
Step-by-step explanation:
132/360 cause 360 degrees in circle
π4^r=area of totoal
16π= area
16π*132/360=18.4306769011
PLEAse help geometry
Answer:
A clockwise rotation of 90° about the origin
Look at the following four expressions:
Expression A: (14647 + 2956) ÷ 6
Expression B: 6 x (14647 + 2956)
Expression C: (14647 + 2956) + 6
Expression D: (14647 + 2956) − 6
Which expression has the least value? (1 point)
Group of answer choices
Expression A
Expression B
Expression C
Expression D
Answer:
Expression D has the least value
Hey, what it do? I need help i am in imense pain trying to answer this can someone help me?
Toby plans to enroll for 2 semesters per year of college. How can he calculate the extra amount he needs for expenses for each semester? What is the amount that he needs per semester?
If Birr 5000 is invested with a compound interest rate of 4 percent per annum, which of the following is the amount of the future value at the end of a 24th month?
a.
5203.02005 Birr
b.
5634.6205 Birr
c.
5365 Birr
d.
5408 Birr
Answer:
d. 5408 Birr.
Step-by-step explanation:
24 months = 2 years.
Amount after 2 years = 5000(1 + 0.04)^2
= 5408.
Estimate 17.26+4.556 by first rounding each number to the nearest tenth. I need help
Answer:
21.9
Step-by-step explanation:
When rounding to the nearest tenth, we are rounding to 1 decimal place.
If the number in the hundredth place is 5 or more, we round up.
If the number in the hundredth place is less than 5, we round down.
17.26 rounded to the nearest tenth is 17.3
as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.
4.556 rounded to the nearest tenth is 4.6
as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.
Therefore, 17.3 + 4.6 = 21.9
Classify as acute, obtuse, or right.
6, 9, 12
Answer:
If the angles are 9 degrees 6 degrees and 12 degrees it is acute
Step-by-step explanation:
What number and what percent describe the probability of a certain event?
Enter the correct answers in the boxes.
The probability of a certain event is
__ or __%.
The probability of an impossible event is
__ or __%.
Answer:
The probability of a certain event is 1 or 100%
The probability of an impossible event is 0 or 0%
Answer:
See below ~
Step-by-step explanation:
The probability of a certain event is 1 or 100%.The probability of an impossible event is 0 or 0%.If x = -3 and y = -5, what does 3x - 2y equal???
Step-by-step explanation:
3x-2y
3*(-3)-2*(-5)
-9+10
1
3(-3) - 2(-5)
-9 + 10
1
I need help question is in image.
if u want u can answer question 14 and 15 but if u don’t just answer 14
Answer:
For #14, (around) 108 times.
#15 = 53
Step-by-step explanation:
14)
2.69*10^5 = 269000
2.5*10^3 = 2500
269000/2500 = 107.6
Rounding up, we get 108
15)
√(53 - 8)2 + (31 - 3)2
= √(45)2 + (28)2
= √2809
= 53
Hope this helped! I would love a Brainliest if this helped you!
What's the circumference of a circle with a diameter of 9 inches?
Use 3.14 for π.
C = [?] inches
Enter the number that belongs in the green box. Do not round your answer.
Hint: C = πd
Answer:
C = 28.26 in
Step-by-step explanation:
the circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = 3.14 × 9 = 28.26 in
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What's the circumference of a circle with a diameter of 9 inches?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are asked to find the circumference of a circle, which we can find using the following formula:-
[tex]\bold{Circumference{(circle)}=\pi d}[/tex]
Where:-π=pi [3.14…]d=diameter (9 inches)How to solve for circumference:-
Replace d with 9 and multiply:-
[tex]\hookrightarrow\sf{C=3.14\times9}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\hookrightarrow\sf{C=28.26\:inches}[/tex]
Notice that we are not asked to round our answer, so we leave it like that - C=28.26.
Good luck with your studies.
[tex]\rule{200}{2}[/tex]
multiply 7 by the fourth power of the square root of forty-nine.
Answer:
16807
Step-by-step explanation:
7 * ((sqrt49)^4 = 7 * 7^4 = 7^5 = 16807