Answer:
y³+16y²+60y
Step-by-step explanation:
Complete question
Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box
Let the length be x
Let the width be y
let the height be z
If the box is 10cm longer than it wide, then x = y + 10
Also if the height is 6 cm more than the width,
z = y + 6
Volume of the box = xyz
Substitute
Volume of the box = (y+10)(y)(y+6)
Volume of the box = (y+10)(y²+6y)
Volume of the box = y³+6y²+10y²+60y
Volume of the box = y³+16y²+60y
Hence the required polynomial function is y³+16y²+60y
Note that the question asked was assumed
The Science Club has 35 members, 10 girls and 25 boys. What is the ratio of girls to boys
in the Science Club?
A. 2:1
B. 2:5
C. 5:2
SUBMI
Answer:
B) 2:5
Step-by-step explanation:
it should be 2:5 since the girls are only 10, while the boys are 25 in number which makes their ratio bigger.
what is 4 and 1/2 in decimal form
Answer:
4.50
Step-by-step explanation:
4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.
The decimal form of 4 and 1/2 is 4.5
DecimalDecimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.
Therefore, 4 and 1/2 in decimal form is represented as follows;
Mixed fraction = 4 1 / 2
Improper fraction = 9 / 2
decimal form of 1 / 2 = 0.5
Therefore, 4 1 / 2 = 4.5
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PLEASE HELP ILL DO ANYTHING
Answer:
B) 2 1/4
Step-by-step explanation:
Answer:
B.2 1/4
C.9/4
Step-by-step explanation:
2 1/4 is what shown
9/4=2 1/4
What type of function is f(x)?
f(x) = -2(5)*
Jam is made from sugar and strawberries in the ratio of 3:5 A jar contains 150g of sugar how many grams of strawberries are in the jar
Answer:250
Step-by-step explanation:
150/3 =50
50x5=250
The quantity of strawberries in jar is 250 gram.
What is the ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
Given the Jam is made from sugar and strawberries in a ratio of 3:5,
ratio of sugar to strawberries = 3/5
sugar in jam = 150 gram
let quantity of strawberries be x gram
the ratio of sugar to strawberries = 150/x
since both ratios are in proportions so
3/5 = 150/x
x = 150 * 5/3
x = 250 gram
Hence the quantity of strawberries is 250 grams.
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28 deliveries in 4 hours how many deliveries are served or hour
Answer:
7
Step-by-step explanation:
28 divided by 4 is 7
The price of a certain kind of computer is surely decreasing. A
recent survey shows that the price of Acer 5950G is calculated
by the function P(t) = 823/4- 0.62t, where P is the price
(measured by dollars) and t is the time (measured by years). It
will take years that the price decreases to $1000. Round
your answer to one decimal point.
Can someone show the work on this problem
Answer:
4.69 in
Step-by-step explanation:
By sine rule:
[tex] \frac{ \sin \: 23 \degree}{a} = \frac{ \sin \: 90 \degree}{12} \\ \\ \frac{ \sin \: 23 \degree}{a} = \frac{1}{12} \\ \\ a = 12 \: \sin 23 \degree \\ \\ a = 12 \times 0.3907311285 \\ \\ a = 4.68877354 \\ \\ a \approx 4.69\: in[/tex]
!!!!100 points and brainlist!!!!
Angie is working on solving the exponential equation 23^x=6,; however she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
And please don’t copy paste this and call it an answer
When you have problems like this you simply ask yourself what number do I have to multiply by 23 to get 6? This is how you might read this mathematical expression. So how do we solve the problem?
Well if x is the number that we have to multiply by 23 to get 6 that means that if we divide 6, 26 times we get x. So, x would be 6/23.
0.26
you would divide 23 on both sides
hope this helps you
..........
Derek has $4.85 in quarters, Dimes, and nickels he has twice as many dimes and six more nickels then dimes.
which equation where is the number of dimes, can be used to represent the situation
O A 25 (4) +100) +563 – 6) = 485
Os 25 (1) + 106) + 56+ 6) = 485
OC 25 (22) + 10(x) + 562--485
OD 25 (2x) + 100)+5+)485
Answer:
Step-by-step explanation:
b
in training to run a half marathon, jenny ran 2/5 hours on tuesday, 1 1/6 hours on thursday, and 2 1/15 on Saturday. what is the total amount of hours that jenny ran this week? (simplify your answer and state it as a MIXED NUMBER)
9514 1404 393
Answer:
3 19/30 hours
Step-by-step explanation:
The given fractions will have 30 as a common denominator.
12/30 + 1 5/30 + 2 2/30 = (1 +2) +(12 +5 +2)/30 = 3 19/30 . . . hours
Jenny ran 3 19/30 hours this week.
Answer:
Step-by-step explanation:
Total hours that Jenny ran = 3.63 hours.
Step-by-step explanation:
Jenny ran on Tuesday for = 2/5 hours or 0.4 hours.
Time consumed to run on Thursday = 11/6 hours or 1.83 hours.
Time consumed to run on Saturday = 21/ 15 hours or 1.4 hours.
Here, the total hours can be calculated by just adding all the running hours. So the running hours of Tuesday, Thursday, and Saturday will be added to find the total hours.
Total hours that Jenny ran = 0.4 + 1.83 + 1.4 = 3.63 hours.
what is the simplified form of this equation f(x)=
x2 + 4x + 10
Answer:
6x + 10
Step-by-step explanation:
2+4=6
and 10 doesn't have an x next to it so it doesn't count
Solve for x. Round to the nearest tenth.
Answer:
Step-by-step explanation:
You are given adjacent and you want opposite. You can use the relationship of tangent. SOHCAHTOA
tan(51) = x/15
x = 18.5
help quickly please
Answer:
x = 60°
Step-by-step explanation:
Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.
Answer:
X= 60° because vertically opposite angles
If cos x = -12/13
And csx < 0
Find cot (2x)
Answer:
csc
x
−
sin
x
=
1
sin
x
−
sin
x
=
1
−
sin
2
x
sin
x
=
cos
2
x
sin
x
=
cos
x
⋅
cos
x
sin
x
=
cos
x
cot
x
Step-by-step explanation:
15. Find the length of x. Round to 1 decimal place.
The area has to be in metres^2
Answer:
0.6m²
Step-by-step explanation:
Length: 1.2 m
Width: 50cm=0.5m
Area=length×widtg
When a biased coin is thrown 4 times, the probability of getting 4 heads is
16
81
Work out the probability of getting 4 tails when the coin is thrown 4 times.
Answer:
1/81
Step-by-step explanation:
P(H,H,H,H)=16/81
fourth root of 16/81= 2/3
so the probability of getting tails would be 1/3
probability of getting 4 tails would be:
P(T,T,T,T)=(1/3)^4
=1/81
The probability of getting 4 tails when the coin is thrown 4 times is 1/81
How to determine the probability?We have:
P(Head 4 times) = 16/81
This means that:
P(Head)^4 = 16/81
Take the 4th root of both sides
P(head) = 2/3
The probability of a tail is calculated as:
P(tail) = 1 - P(Head)
This gives
P(tail) = 1 - 2/3
P(tail) = 1/3
When thrown 4 times, we have:
P(tail)^4 = (1/3)^4
P(tail) = 1/81
Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81
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For A I somehow got 41.05 but its 2.95cm can someone show me the working and what I did wrong?
Answer:
Step-by-step explanation:
a). tan(75°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{11}{k}[/tex]
k = [tex]\frac{11}{\text{tan}(75)}[/tex]
k = 2.947
k = 2.95 cm
b). cos(52°) = [tex]\frac{16}{s}[/tex]
s = [tex]\frac{16}{\text{cos}(52)}[/tex]
s = 25.988
s ≈ 25.99 cm
c). sin(5°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{16.1}{q}[/tex]
q = [tex]\frac{16.1}{\text{sin}(5)}[/tex]
q = 184.727
q ≈ 184.73 cm
2, 5, 25/2...
Find the 10th term.
Answer:
7629.39453125
Step-by-step explanation:
The formula for the n-th term is:
[tex]k_n = \frac{5^{n-1}}{2^{n-2}}[/tex]
So:
[tex]k_{10} = \frac{5^9}{2^8}[/tex] = 1953125 / 256 = 7629.39453125
Answer:
7629.395 correct answer
what is the measure of the angle
PLEASE HELP
I-ready
Answer:
your awnser should be 42°
which of the following is a linear function?
a. y=ײ+4
b. y=/￣x-2
c. y=1/2(x-4)
d. y=2/x+3
Problem 3: The elevator at a business center has a weight limit of 1800 pounds. Assume the
average person weighs 160 pounds and has 3 pounds of items with them. What is the greatest
number of people that can ride the elevator at one time?
Answer
10
11
12
13
Weight limit of an elevator = 1800 pounds
Average weight of each person who comes in the elevator = 160 pounds
Quantity of items with them = 3 pounds
Let the number of people who can ride the elevator at one time be x.
Which means :
[tex] =\tt 160x + 3 = 1800[/tex]
[tex] = \tt160x = 1800 - 3[/tex]
[tex] = \tt160x = 1797[/tex]
[tex] =\tt x = \frac{1797}{160} [/tex]
[tex] =\tt x = 11[/tex]
Thus, number of people who can enter the elevator is 11.
▪︎Therefore, the correct option is (b) 11.
How many three-digit numbers are divisible by 2,3 or 5?
Answer:
764 numbers
Step-by-step explanation:
Number of multiples of 2: is 2x50–2x499 which is 450 numbers.
Number of multiples of 3: 3x34–3x333 is 300 numbers
Multiples of 5: 5x20–5x199 is 180 numbers
Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.
Multiples of 3x5 or 15: 15x7–15x66 or 60
numbers.
Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.
Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.
450+300+180–46–60–90+30=
764 numbers.
Suppose that you have $6,000 to invest. Which investment yields the greater return over a 10 year period: 7.44% compounded daily or 7.5% compounded quarterly? Find the total amount of the investment after 10 years if $6,000 is invested at 7.44% compounded daily. $ (Round to the nearest cent as needed.) help me please im failing
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation?
Answer:
y = x + (6+x)
Step-by-step explanation:
Y represents the total number of marbles.
X represents number of blue marbles.
6+X represents number of yellow marbles.
To Solve:
24 = 2x + 6
Subtract 6 from both sides: 18 = 2x
Divide boths sides by 2: 9 = x
Now fill in the values: Blue Marbles = 9, Yellow marbles = 15
Mr deal earns a commission on each airfare he books. At the end of the day, he had book $725 worth of airfare and earned 43.50. What is Mr. Deals commission rate?
Answer:
6%
Step-by-step explanation:
43.50 / 725 x 100 = 6%
Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt and each Hat cost? Write a system of equations that can be used to solve the problem. Then solve the problem.
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
What is an equation of the line that passes through the points (4, -5) and (2, 0)?
Answer:
y = - [tex]\frac{5}{2}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (2, 0)
m = [tex]\frac{0+5}{2-4}[/tex] = [tex]\frac{5}{-2}[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 0 )
0 = - 5 + c ⇒ c = 0 + 5 = 5
y = - [tex]\frac{5}{2}[/tex] x + 5 ← equation of line
55 - 11u = 55
solve for u
Answer:
u = 0
Step-by-step explanation:
55 - 11u = 55
-11u = 0
u = 0