Answer:
3/16 of the class share guitars today.
Step-by-step explanation:
1/4 x 3/4 = 3/16! :)
If x^2 y^3 = 10 and x^3 y^2 = 8, what is the value of x^5 y^5
Step-by-step explanation:
so,
x²y³ = 10
x³y² = 8
what is the value of x⁵y⁵ ?
don't you see right away that 2+3 and 3+2 both equal 5 ?
so, x³x² = x⁵
y²y³ = y⁵
so, I only need to multiply both equations with each other. and I get
x²y³×x³y² = 10×8
x⁵y⁵ = 80
why ? because multiplications and exponents (which are nothing else than multiplications) are all communicative :
a×b = b×a.
[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]
Answer:
14th term
Step-by-step explanation:
12÷10 = 1.2
14.4÷12 = 1.2
17.28÷14.4 = 1.2
Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’
We call it (Vn)
The general term of the sequence:
Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹
To determine the term at which the sequence exceeds 100 we have to solve the equation:
Vn ≥ 100
⇔ 10×(1.2)ⁿ⁻¹ ≥ 100
⇔ (1.2)ⁿ⁻¹ ≥ 100/10
⇔ (1.2)ⁿ⁻¹ ≥ 10
⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)
⇔ (n-1)×ln(1.2) ≥ ln(10)
[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]
[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]
Verification:
[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]
PLSSS HELPPPPP with b !!!
Step-by-step explanation:
your a. is wrong.
so, we need to do both.
a.
you did not really read carefully. DE = 4x and not 4.
DE = 4x does not mean x = 4. absolutely not.
so, you cannot just use x=4 in the first triangle.
but you are right, AB and DE correlate between the 2 congruent triangles.
therefore
3x + 6 = 4x
6 = x
so, AB = 3x + 6 = 3×6 + 6 = 18 + 6 = 24 ft
b.
congruent means that the sides and the angles are the same between the 2 triangles.
so,
6y + 12 = 8y + 2
12 = 2y + 2
10 = 2y
y = 5
so, the angle EDF is
8y + 2 = 8×5 + 2 = 40 + 2 = 42°
Work out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm
Answer:
The surface area of this cylinder is 1168.67
Step-by-step explanation:
To find the surface area of a cylander use this formula
A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²Plug in
A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²Answer is 1168.67
What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?
Answer:
45.6 x 10^3
Step-by-step explanation:
76 can be expressed as 7.6 x 10^1.
Now, you can multiply the two values together.
7.6 x 6.0 is 45.6.
Then, add the two exponents together:
1 + 2 = 3
45.6 x 10^3
Find the slope and y-intercept of the graph of the equation.
y = 8x +9
Answer:
Slope = 8
Y-intercept = (0, 9)
Step-by-step explanation:
Slope-intercept form of an equation :
y = mx + bm = slopeb = y-interceptTherefore, on comparing with the given equation :
Slope (m) = 9Y-intercept (b) = (0, 9)if the diameter of a cone is 16cm and the height is 15cm what is the volume? I've tried the formula v=1/3*3.14*r^2*h but the answer wasn't on the choice pick even when I divided the diameter by 2 to get the radius which is 6. and I've tried leg^2 +leg^2=hypotenuse, but I probably did it wrong. If you find the answer could you show how you found it? I'll put u as the brainiest.
Answer:
V= volume of cone A=Ah A= πr2
A= area of base 3
H= height
V= (3.1416)(16)(15) 3.1416x16x15= 753.9
3
V= 753.9 753.9÷3= 251.3 cu. in
3
Volume of the cone is 251.3 cu. in
I hope this helps you. Good luck!
Aaron flips a coin three times, how many outcomes have only one head?
1
2
3
4
3
Step-by-step explanation:
there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.
Fill in the missing number. 50% of ????= 13
Find the median of the data.
12, 10, 14, 9, 8, 9, 15, 15
Answer:
11
Step-by-step explanation:
First, order the numbers in the given set from least to greatest:
8 , 9 , 9 , 10 , 12 , 14 , 15 , 15
The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.
In this case, the middle numbers are 10 & 12:
Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:
(10 + 12)/2 = (22)/2 = 11
11 is your median.
~
Answer:
11.
Step-by-step explanation:
12, 10, 14, 9, 8, 9, 15, 15
Arrange in ascending order:
8 9 9 10 12 14 15 15
Here, the median is the mean of the 2 middle numbers:
= (10+12) = 11.
CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM
Answer:
Step-by-step explanation:
answer question in pic, thanks!!
Answer:
6.42 %
Step-by-step explanation:
3412.23 = 2500(1+i)^5
i = 6.42%
A bag of colored paper clips contains 3 red clips
and 6 green clips. What's the probability of
pulling out a red clip and then a green clip?
(Assume that you don't put the first red paper
clip back in the bag.) Write your answer as a
fraction.
Answer:
1/5
Step-by-step explanation:
solution [ calculation of probability ]
P= (3/3+6) × (6/3+6-1)
=3/9×6/10
=1/5
26. Each weekday, 3,200,000 people in Massachusetts
commute to work. Of the total commuters, 403,200 take
public transportation. What percentage of commuters take
public transportation?
Answer: 12.6%
Step-by-step explanation:
403,200/3,200,000 = 0.126
0.126 = 12.6%
Estimate
754÷13
Hurry up please
Answer:
754 divided by 13= 58
I hope this Helps! ;)
What is an estimate for the square root of 150? (Do not find the exact value) Show work
Answer:
Somewhere between 12 and 13, perhaps 12.25
Step-by-step explanation:
This is a (rather) simple explanation:
Look for 2 square numbers that are either side of 150
In this case, it is 144 and 169
The square root of 144 is 12 and the square root of 169 is 13
Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.
As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)
What value for c completes the square for the quadratic x2 + 12x + c?
The value for c is 36 which completes the square for the quadratic x² + 12x + c.
What is a quadratic equation?The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.
Here we have the equation
=x²+12x+c
=x^2+12x+36
=x^2+6x+6x+36
=x(x+6)+6(x+6)
=(x+6)(x+6
=(x+6)²
hence value for c is 36 which completes the square for the quadratic x² + 12x + c.
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The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 10 cm is?
Answer:
4186.6 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of 10 cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(10)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 1000}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3140}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 3140}{3} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{12560}{3} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 4186.6 }}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 4186.6 cm³Given :
Radius of sphere is 10 cm.To Find :
Volume of sphere.Solution :
As we know that volume of sphere is calculated by the formula :
V = 4/3 πr³Here,
V is volume r is radius Value of π is 22/7Putting the values in the formula,
>> V = (4 / 3) × (22 / 7) × (10)³
>> V = (4 / 3) × (22 / 7) × (10 × 10 × 10)
>> V = (4 / 3) × (22 / 7) × (10 × 100)
>> V = (4 / 3) × (22 / 7) × 1000
>> V = 4 × 22 × 1000 / 3 × 7
>> V = 88 × 1000 / 3 × 7
>> V = 88000 / 3 × 7
>> V = 88000 / 21
>> V = 4190.47 cm³
how to turn 8000 ÷ 5 = 1600 in too an equation like[tex]\sqrt[5]{8000}[/tex] or just a step by step explanation
Answer:
Here is the long division
Step-by-step explanation:
HELPPP!! I’ll give brainliest
Leslie keeps her goats
in a circular pen
enclosed by a fence.
The total length of the
fence is 100 yards.
What is the area of the
goat pen?
Answer:
Step-by-step explanation:
Circumference = 2 π r
100 = 2 π r
r = 100 / 2π
= 50/π
So the area = π r^2
= π * (50/π)^2
= 2500/π
= 795.8 yd^2.
a water barrel that had 4 gallons of water is being filled with water at a rate of 4 gallons per minute . write a function
Answer:
y=4x+4
Step-by-step explanation:
using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.
How do you decompose the number 120 into a prime number
Answer:
But it not a prime number :( maybe divide
Step-by-step explanation:
4.
Triangle DEF is shown below.
E
19-6 m
I
10-4 m
13-2 m
D
It has sides of length 10.4metres, 13.2metres and 19.6metres.
Calculate the size of angle EDF.
Answer:
111.75 degrees
Step-by-step explanation:
EDF = cos^-1((b²+c²-a²)/2bc)
EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))
EDF = 111.75 degrees
Can someone please help me solve this? I’ll give you a brainliest pls!!!
Answer:
1. 84º
Step-by-step explanation:
1. CEB = 180º - 96º
CEB = 84º
you do the rest
What is the answer please?
Step-by-step explanation:
optically, they are congruent.
so, it must be a reflection followed by a translation.
there is no 90° rotation. and the result cannot be created only by a reflection.
What is the volume of the triangular right prism?
(7.3ft
7 ft-
10 ft
4 ft
A. 140 ft3
B. 280 743
c. 1,022 ft3
D. 2,044 ft3
Answer:D
Step-by-step explanation:
Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
Answer:
there are 120 slices of orange.
Step-by-step explanation:
The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.
3B What is the value of account after 10 years,
if interest is paid at 3.7%, if no other deposits
or withdrawals are made?
Initial deposit $6500, then compounded annually
Answer:
$9,347.62
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $6,500r = 3.7% = 0.037n = 1t = 10 yearsSubstituting the given values into the formula and solving for A:
[tex]\implies \sf A=6500\left(1+\frac{0.037}{1}\right)^{10 \times 1}[/tex]
[tex]\implies \sf A=6500\left(1.037\right)^{10}[/tex]
[tex]\implies \sf A=9347.617232[/tex]
Therefore, the value of account after 10 years is $9,347.62
Let's see
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
P=6500r=3.7%t=10yearsSo
A:-
[tex]\\ \rm\Rrightarrow 6500(1+0.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow 6500(1.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow \$ 9347.6[/tex]
PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution of the expression (x+3)²=41 can be found as shown below,
(x+3)²=42
(x+3)=√42
x+3=6.48
x = 3.48
Hence, the value of x is 3.48.
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