Answer:
The shadow is 3/4 of the actual height.
24 foot shadow = 4/3 * 24 = 32 feet
Answer is a
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
What is the value of C in the matrix equation below?
|-18 3 51-c-[-22 1 12
o -40
217]
01-40 27]
10142-7)
0 14 2 17]
Given:
The matrix equation is:
[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
To find:
The value of matrix C.
Solution:
Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as
[tex]A-C=B[/tex]
[tex]-C=B-A[/tex]
[tex]C=-(B-A)[/tex]
[tex]C=A-B[/tex]
On substituting the values of the matrices, we get
[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]
Therefore, the correct option is C.
Answer: C
Step-by-step explanation: [ 4 2 -7 ]
Find both the number of combinations and the number of permutations for the given number of objects.
15 objects taken 7 at a time
Answer:
First, if we have a set of K elements, such that are ordered as:
{x₁, x₂, ...}
The total number of permutations for the K elements can be found in the next way.
For the first element in the set, we have K options.
For the second element in the set, we have (K - 1) options (because we already choose one)
For the third element we have (K - 2) options, and so on.
The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:
permutations = K*(K - 1)*(K - 2)*....*2*1 = K!
Now suppose that we have a set of N elements, and we want to make groups of K elements.
The total number of different combinations of K elements is given by the equation:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case we have 15 objects (then N = 15) and we take 7 at the time (Then K = 7)
Where we need to take in account the number of combinations and also the permutations for each combination.
Then the total number of different sets is:
C(15*7)*7!
First, the total number of combinations will be:
[tex]C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!} = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1} = 6,435[/tex]
So we have 6,436 combinations, and each one of these combinations has 7! permutations.
permutations = 7! = 7*6*5*4*3*2*1 = 5,040
if we combine these we get:
Combinations*Permutations = 6,435*5,040 = 32,432,400
Answer:
7
Step-by-step explanation:
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years
Answer:
A = 642.01
Step-by-step explanation:
Given:
P = 500
r = 2.5% or 0.025
t = 10
Work:
[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]
A backpack is on sale for $51.00. This is 75% of the original price. What was the original price?
Given vector v=<-2,-1>, find 5v.
Answer:
5v=(-10;-5)
Step-by-step explanation:
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help please i need it asap
THIS IS DUE NOW wiil give crown if right Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?
Answer:$52.60
Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715. Based on a linear model, what is the predicted average price for 2014? Ston Down
Answer:
The predicted average price for 2014 is of $38,304.
Step-by-step explanation:
Linear model:
In a linear model, the average price increases by the same amount during each period.
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.
In a period of 6 years, the increase was of:
28715 - 19126 = $9,589
Based on a linear model, what is the predicted average price for 2014?
Another period of 6 years, so it will increase by 9589 more. Than
28715 + 9589 = 38304
The predicted average price for 2014 is of $38,304.
Photo for the question I asked a few seconds ago please help
Answer:
9160.88
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Answer:
A≈9160.88
Step-by-step explanation:
A=πr^2=π·54^2≈9160.88418
Find the radius of circle G below.
Find the area of the sector.
Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
Find the volume of the figure. Use 3.14 for pi a cone sphere has a diameter of 10 and a sphere has a height of 12 cm asking for a friend they need help asap will mark brainliest
Answer:
576 cm³
Step-by-step explanation:
cone = 1/3x3.14x5x5x12=314
1/2 sphere = 1/2x4/3x3.14x5x5x5=262
314+262=576
If Quamie purchased 5 pencils for 20¢, how much will 20 pencils cost?
Answer:
80 cents
Step-by-step explanation:
Answer:
80 cents
Step-by-step explanation:
if you multiply 5 by 20 cents, you will get 100, now, if you know where I'm going, every time she buys 5 pencils she pays 20 cents, so if she buys 20 pencils, it will cost her 80 cents, Hope this helped! mark me brainiest if you can!
hi can anyone help me with this
Answer:
i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)
Can someone plz help me
Answer:
47.5 in²
Step-by-step explanation:
Answer:
47.5 in²
Step-by-step explanation:
A = a+b
/2h = 7+12
/2·5 = 47.5
What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve.
Answer: this is what i got hope this helped i took a sceernshot of it
Step-by-step explanation:
ples make brainly
Calculate the volume of a square-based pyramid with a slant height of 5 ft and base edges of 6 ft.
Answer:
Volume is 60ft³
Step-by-step explanation:
b²h/3
b=6
h=5
The volume of a square-based pyramid will be 180 ft³. Option D is correct.
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:
[tex]\rm V = B^2 \times h \\\ V = 6^2 ft \times 5 \ ft \\\ V=180 \ ft^2[/tex]
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(1 point) An open-top box is to be constructed from a 8 \ \mbox{in} by 14 \ \mbox{in} rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. Let x denote the length of the side of each cut-out square. Assume negligible thickness. (a) Find a formula for the volume, V, of the box as a function of x. \ \ V(x)
Answer:
Volume=[tex]4x^3-44x^2+112x[/tex]
Step-by-step explanation:
Let x denotes the length of the side of each cut
After Cutting square length will be=8-2x (where 2x for 2 squares as on each side two corners are there thus 2 squares will be cut down)
After cutting square width will be=14-2x (where 2x for 2 squares as on each side two corners are there thus 2 squares will be cut down)
Height = x
Volume=Length*width*Height
Volume=(8-2x)*(14-2x)*x
On solving we will get:
Volume=[tex]4x^3-44x^2+112x[/tex]
How to find the smallest integer k such that 60k is a perfect square
9514 1404 393
Answer:
k = 15
Step-by-step explanation:
Look for the missing factors that make all of the factors of 60k be squares.
60 = 2² × 3 × 5
The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.
60k = 2² × 3 × 5 × k
is a perfect square when ...
3 × 5 = k = 15
For k = 15, 60k = 900 = 30²
1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?
Answer:
(69.708 ; 74.292) ; 78% ; 350 ;
H0 : μ = 72
H0 : μ > 72
Pvalue = 0.8897
there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Step-by-step explanation:
99.5% confidence level, = 2.807
Sample size, n = 150
xbar = 72
Standard deviation, s = 10
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 2.807 * 10/sqrt(150)
Margin of Error = 2.292
Lower boundary = 72 - 2.292 = 69.708
Upper boundary = 72 + 2.292 = 74.292
(69.708 ; 74.292)
B.)
Confidence level of the interval (71, 73)
(72 - 71 ) or (73 - 72)
Margin of Error = 1
Margin of Error = Zcritical * s/sqrt(n)
1 = Zcritical * 10/sqrt(150)
1 = Zcritical * 0.8164965
Zcritical = 1 / 0.8164965
Zcritical = 1.2247
α = 0.22 = 1 - 0.22 = 0.78 = 78%
C.)
Margin of Error = ±1.5
1.5 = Zcritical * s/sqrt(n)
99.5% confidence level, = 2.807
1.5 = 2.807 * 10/sqrt(n)
1.5 = 28.07 / sqrt(n)
Square both sides
1.5² = 28.08² / n
2.25n = 788.4864
n = 788.4864 / 2.25
n = 350.4384
n = 350 samples
D.)
H0 : μ = 72
H0 : μ > 72
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(73 - 72) ÷ 10/sqrt(150)
Test statistic = 1.2247
Pvalue :
P(Z < 1.2247) = 0.8897
Pvalue > α
0.8897 > 0.005
We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Help I need a equation
9514 1404 393
Answer:
a) y = 3x-1
b) y = x+5
Step-by-step explanation:
a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.
The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...
y = 3x -1
__
b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...
b = y -mx
b = 7 -1·2 = 5
Then the slope-intercept equation is ...
y = x + 5
If you can buy 48 plantains for $24, then how many can you buy with $4?
Answer:
Step-by-step explanation:
I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.
Hope this helps!
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
9514 1404 393
Answer:
90 m²
Step-by-step explanation:
The given linear dimensions have the ratio ...
red/blue = (6 m)/(4 m) = 3/2
The ratio of areas is the square of the ratio of the linear dimensions:
(red area)/(blue area) = (3/2)²
S = (blue area)(9/4) = (40 m²)(9/4)
S = 90 m²
giving out brainliest answer !!!!! help me out ASAP !!!
Answer:
0.7880
Step-by-step explanation:
0.7883
Hope it helps!
What is the 70th term in the sequence? 4, 8, 12, 16...
Answer:
276
Step-by-step explanation:
that's the correct answer
Answer:<3
Step-by-step explanation: 280 is right on acellus
What is the area of the square? It has a side of 5 mm.
Please help i give brainliest
can someone help me please
9514 1404 393
Answer:
1. 5000
2. the year is 2003
3. > 1000; evaluate the function
Step-by-step explanation:
1. The value of t is "years since 2005." In 2005, the value of t is zero. To find the model's prediction for 2005, substitute t=0.
p = 5000·2^0 = 5000·1
p = 5000 . . . . in 2005
__
2. When t=-2, it means you're concerned with the population 2 years before 2005. That is, you are modeling the population in 2003.
__
3. Evaluate the function for t=-2:
p = 5000·2^(-2) = 5000·1/4 = 1250
For t=-2, the fish population is 1250, which is more than 1000.
what is 381.7 rounded to the nearest tenth?
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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