Please include step by step explanation bc I've been having trouble with this​

Answer:

They need 30 rectangles and 20 of those rectangles will have stripes.

Step-by-step explanation:

3 x 10 = 30, (2/3) x 30 = 20

Answer:

2/3

Step-by-step explanation:

2/3

divide by 8

Answer:

[tex]S_{15} = 299593[/tex]

Step-by-step explanation:

Given

[tex]262144,\ 32768,\ 4096,\ 512; ...[/tex]

Required

Determine the 15th partial sum

The nth partial sum of a geometric series is:

[tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]

In this case:

[tex]a = 262144[/tex]

[tex]n = 15[/tex]

r is calculated as:

[tex]r = \frac{32768}{262144}[/tex]

[tex]r = 0.125[/tex]

Substitute values for a, r and n in [tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]

[tex]S_{15} = 262144* \frac{1 - 0.125^{15}}{1 - 0.125}[/tex]

[tex]S_{15} = 262144* \frac{1}{0.875}[/tex]

[tex]S_{15} = \frac{262144* 1}{0.875}[/tex]

[tex]S_{15} = \frac{262144}{0.875}[/tex]

[tex]S_{15} = 299593.142857[/tex]

[tex]S_{15} = 299593[/tex] -- approximated

Step-by-step explanation:

11x² + 33x + 22

= 11(x² + 3x + 2)

= 11(x + 1)(x + 2).

Answer:

The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. 72000.

Answer:

$3762.50

Step-by-step explanation:

From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:

$3762.50

Answer:

Perimeter = 65.12 in

Area = 292.48 in^2

which agrees with the second answer choice

Step-by-step explanation:

The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches  (which is pi * radius = 3.14 * 8 = 25.12 in)

Then the total perimeter is:

Perimeter = 40 in + 25.12 in = 65.12 in

The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).

Therefore the total area is:

Area = 192 + 100.48  = 292.48 in^2

Answer:

The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.

Hope this helps!! ;)

volume of the prism is three times the volume of the pyramid with the same dimensions.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Volume of a triangular prism = area of base triangle × length of the prism

The volume of a triangular pyramid = (1/3) × Base Area × Height

The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.

Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.

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Answer:

5/6, 7

Step-by-step explanation:

Answer:

1000÷11=90.9

So,29th September

Answer:

Dependent

Step-by-step explanation:

because which ever coloured card you draw at first changes the probability of the second draw

Answer:

dependent

Step-by-step explanation:

the first card drawn

Answer:

yes

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

translations assignment

Given:

The points are (5,40) and (0,10).

To find:

The equation for the trend line using the given points.

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Two points are (5,40) and (0,10). So, the equation of trend line is

[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]

[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]

[tex]y-40=6(x-5)[/tex]

[tex]y-40=6x-30[/tex]

Adding 40 on both sides, we get

[tex]y=6x-30+40[/tex]

[tex]y=6x+10[/tex]

Therefore, the equation of trend line is [tex]y=6x+10[/tex].

Answer:

The [tex]n^{th}[/tex] sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10

Step-by-step explanation:

Step(i):-

Given sequence

           -10,-5,0,5,10,15,20,.....

The first term = -10

The difference of two terms in the given sequence is equal

d = -5-(-10) = -5 + 10 = 5

d = 0 -(-5) = 5

The given sequence is in arithmetic progression

Step(ii):-

The [tex]n^{th}[/tex] sequence

[tex]a_{n} = a+(n-1) d[/tex]

aₙ = -10 +(n-1) 5

aₙ = -10 + 5n -5

aₙ = -15 +5n

Step(iii):-

The [tex]n^{th}[/tex] sequence aₙ = -15 +5n

put n = 5

a₅ = -15 + 5(5) = -15 +25 = 10

Final answer:-

The [tex]n^{th}[/tex] sequence aₙ = -15 +5n

The fifth term of the sequence

a₅ = 10

Answer:

The sequence starts with -10, and the index starts at 1. So, the index of -10 is 1.

n = 5 refers to the fifth term of the sequence, which is 10.

Step-by-step explanation:

Plato Answer

Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.

Answer:

A

Step-by-step explanation:

there are 4 columns and 1 drama so it equals 1/4

Answer:

(a) <1 & <6    (b) <5 & <6  (c) 7 & <3

Step-by-step explanation:

Vertical angles are angle that make an X

Linear pair angles are next to each other

Supplementary angles are angles that form a straight line

Answer:

a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5

b) 5 and 6

c) 1 and 5

Step-by-step explanation:

Step-by-step explanation:

W = Set of projects the guitarist wrote

P = Set of products he produced

A bass guitarist worked on 15 music projects last year.

Universal set = 15

He wrote and produced 5 projects.

W ∩ P = 5

He wrote a total of 9 projects.

W = 9

The Venn Diagram is given in the attached image.

a. How many projects he wrote but did not produce (W - P)?

W - P = W - W ∩ P

W - P =  9 - 5 = 4

He wrote 4 projects but did not produce them.

b. How many projects he produced but did not write (P - W)?

Universal set = (W - P) + (P - W) + W ∩ P

15 = 4 + (P - W) + 5

(P - W) = 15 - 9 = 6

He produced 6 projects but did not write them

Answer:

The first 4

Step-by-step explanation:

any that are whole numbers

Answer:

14

20+8=28/2

your welcome

Answer:

[tex]\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}[/tex]

Step-by-step explanation:

When given the central angle in degrees, the formula for sector area is:

[tex]A=\frac{ \theta}{360} * \pi r^2[/tex]

where θ is the central angle and r is the radius.

We are given the diameter, so we must calculate the radius. The radius is half the diameter.

The diameter is 18 meters.

Now we know all the variables:

Substitute the values into the formula.

[tex]A=\frac{ 135}{360} * \pi (9)^2[/tex]

Solve the exponent first.

[tex]A=\frac{ 135}{360} * (81 \ m^2) \pi[/tex]

Solve the fraction.

[tex]A=\frac{ 3}{8} * (81 \ m^2) \pi[/tex]

Multiply the two rational numbers.

[tex]A=\frac{243}{8} \pi \ m^2[/tex]

The answer can be left like this, in terms of pi, or can be multiplied.

[tex]A=\frac{243}{8} *3.14 \ m^2[/tex]

[tex]A= 95.3775 \ m^2[/tex]

[tex]A= 95.42587685 \ m^2[/tex]

The area is 243/8 π, 95.3775, or 95.42587685 square meters.

Answer:

Vertex: (8,6) Focus (7,6)

Step-by-step explanation:

32/4=8

Half of 12=6

Answer:

it's just 8/20 so shade 8/20 of the circle

Answer:

4.875?

convert it into an improper fraction

4 7/8 in decimal form is equal to 4.875.

To convert the mixed number 4 7/8 into decimal form, we need to add the whole number part to the fraction part.

The whole number part is 4.

To convert the fraction 7/8 into decimal form, divide the numerator (7) by the denominator (8):

= 7 ÷ 8

= 0.875

Now, add the decimal result to the whole number:

= 4 + 0.875

= 4.875

Therefore, 4 7/8 in decimal form is equal to 4.875.

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Answer:

4

Step-by-step explanation:

This is wanting you to put a numerator that will make this fraction bigger then 2/4.

2/4 is greater then 1/6, so that won't work

2/4 is greater then 2/6, so that won't work either

2/4 is equal to 3/6 because they reduce to 1/2, so it won't work

2/4 is less then 4/6, this will work

any number bigger then 3 can be put in the ? spot

Answer:

$234

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 2600 × 0.03 × 3 = 234

I = $ 234.00

The simple interest accumulated

on a principal of $ 2,600.00

at a rate of 3% per year

for 3 years is $ 234.00.

Answer:

$234

Step-by-step explanation:

Answer:

2 11/60

Step-by-step explanation:

15/60 -4/60=11/60

2+11/60=2 11/60