Which shapes have teo pairs of parallel side choose all that apply

The principal amount was £1260, and the annual interest rate is 5.5%.

Given that, Olivia gets £1606.50 and £1675.80 after 5 years and 6 years of investment in simple interest respectively.

SI = principal × rate × time / 100

So,

P + 5pr = £1606.50

P = £1606.50 - 5pr............(i)

P + 6pr = £1675.80

P = £1675.80 - 6pr.........(ii)

Therefore,

£1606.50 - 5pr = £1675.80 - 6pr

Pr = 69.3

Put the value of pr in eq(i)

P + 5(69.3) = 1606.50

P = 1606.5 - 346.5

P = 1260

Now,

(1260)r = 69.3

r = 0.055

The annual interest is 5.5%

Hence, the principal amount was £1260, and the annual interest rate is 5.5%.

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Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

The amount that was initially deposited is obtained as $10,100.

Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods.

The interest earned in each subsequent period is added to the principal, and the interest is then calculated on the new, larger amount.

We have that;

A = P (1 + r/n)^nt

Then we have;

A = amount

P = principal

r = rate

n = number of times compounded

t = time in years

Then;

14,472.74 = P(1 + 0.055/12)^12 * 5

P = $10,100

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The outlier in this data set is the sweatshirt priced at $18 since it is significantly higher than the rest of the prices.

The mean is affected more by outliers than the median.

In the provided data, the mean is higher than the median, which suggests that there may be an outlier pulling the average up. The outlier value of $18 is causing the mean to be higher.

If we remove the outlier value of $18, the mean price would be (6+12+11+15)/4 = $11, which is lower than the original mean of $12.40.

On the other hand, the median would remain the same since it is not affected by extreme values.

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Answer:

The answer is

13)CE

14)EG

15)BD

16)BF

Answer:

the answer

Step-by-step explanation:

plein-air painting

The value of the variable k is 33

Algebraic expressions are simply described as the expressions that consist of variables, terms, coefficients, constants and factors.

These expressions also consist of certain mathematical operations, such as;

From the information given, we have that;

(1/3)k - 4=7

collect the like terns

1/3k = 7 + 4

Add the values

1/3k = 11

cross multiply the values, we have;

k = 11(3)

Multiply the values

k = 33

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The converse statement is of the conditional  “If p then q” is the one in option B.

if q then p.

For two given propositions p and q, a conditional statement is written as:

"if p, then q"

So, if the proposition p is true, also is the proposition q.

The converse statement just changes the order of the two propositions ( if the proposition q is true, also is the proposition p), then here start with q and end with p, so the converse statement is:

if q then p.

The correct option is B.

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Answer:

A

Step-by-step explanation:

(x+5)(x-1)－(x+1)(x-4)=7x-1

The value of the expression is -4

A function can simply be explained as an equation, law, rule or expression that tends to show the relationship between two distinct variables.

These variables are called the independent variables and dependent variables.

From the information given, we have the function as;

y= 2x +3

First, let's determine the function y(-5)

Substitute the values of x as -5 in the function;

y(-5) = 2(-5) + 3

expand the bracket

y(-5) = -10 + 3

Add the values

y(-5) = -7

Then, we get;

y(-5)+ 3

-7 + 3

-4

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The perimeter and the area of each composite figure are, respectively:

Case 1: p = 77.6 cm, A = 304 cm²

Case 2: p = 25.1 ft, A = 28 ft²

Case 3: p = 42 mi, A = 52.5 mi²

Case 4: p = 56.5 in, A = 179.424 in²

In this problem we need to determine the perimeter and the area of four composite figures, that is, figures formed by combining triangles and rectangles, whose area formulas are listed below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

Now we find the perimeter and the area of each figure:

Case 1

p = 2 · (18.8 cm) + 2 · (20 cm)

p = 77.6 cm

A = (15.2 cm) · (20 cm)

A = 304 cm²

Case 2

p = 10 ft + 8.1 ft + 7 ft

p = 25.1 ft

A = 0.5 · (10 ft) · (5.6 ft)

A = 28 ft²

Case 3

p = 17.5 mi + 6 mi + 18.5 mi

p = 42 mi

A = 0.5 · (17.5 mi) · (6 mi)

A = 52.5 mi²

Case 4

p = 20 in + 13.9 in + 15 in + 7.6 in

p = 56.5 in

A = (7.6 in) · (13 in) + 0.5 · √[(13.9 in)² - (13 in)²] · (13 in) + 0.5 · √[(15 in)² - (13 in)²] · (13 in)

A = 98.8 in² + 31.982 in² + 48.642 in²

A = 179.424 in²

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Answer:

Only Carla's

Step-by-step explanation:

I believe the answer is only Carla's because even though the left side is factored, there is still an 8 on the right side. To apply the zero product property rule, the equation needs to equal 0

Meanwhile Carla's works because then the equation would be x²=9 which we can easily take the square root of

Answer:  Only Carla

Step-by-step explanation:

Only Carla

Carla said:

(x+1)(x-1)=8          FOIL

x²-1=8

x²=9

x=±3

Jordan said:

He will use 0 property rule but the factored portion must =0   It equals 8, so you can't use that property.

The requreid, the joint probability function f(x, y) is:

f(0,0) = 3/14

f(0,1) = 9/28

f(0,2) = 3/28

f(1,0) = 9/28

f(1,1) = 9/28

f(2,0) = 3/14

f(2,1) = 3/14

f(3,0) = 1/14

To evaluate the joint probability function f(x, y), we need to determine the probability of selecting x black balls and y blue balls out of a sample of 4 balls. We can do this using the hypergeometric probability distribution formula:

f(x,y) = P(X = x, Y = y) = (C(3, x) * C(2, y) * C(3, 4-x-y)) / C(8, 4)

where C(n, k) represents the number of combinations of k items chosen from a set of n items.

Plugging in the values, we get:

f(0,0) = (C(3,0) * C(2,0) * C(3,4-0-0)) / C(8,4) = 3/14

f(0,1) = (C(3,0) * C(2,1) * C(3,4-0-1)) / C(8,4) = 9/28

f(0,2) = (C(3,0) * C(2,2) * C(3,4-0-2)) / C(8,4) = 3/28

f(1,0) = (C(3,1) * C(2,0) * C(3,4-1-0)) / C(8,4) = 9/28

f(1,1) = (C(3,1) * C(2,1) * C(3,4-1-1)) / C(8,4) = 9/28

f(2,0) = (C(3,2) * C(2,0) * C(3,4-2-0)) / C(8,4) = 3/14

f(2,1) = (C(3,2) * C(2,1) * C(3,4-2-1)) / C(8,4) = 3/14

f(3,0) = (C(3,3) * C(2,0) * C(3,4-3-0)) / C(8,4) = 1/14

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Answer:

g(f(4)) = 106.

Step-by-step explanation:

To find f(g(4)), we first need to find

g(4):g(4) = 5(4)^2 - 4(4) + 1 = 80 - 16 + 1 = 65

Now that we know g(4) is 65, we can find

f(g(4)):f(g(4)) = f(65) = 2(65) - 3 = 127

Therefore,

f(g(4)) = 127.

To find g(f(4)), we first need to find f(4):f(4) = 2(4) - 3 = 5

Now that we know f(4) is 5, we can find g(f(4)):

g(f(4)) = g(5) = 5(5)^2 - 4(5) + 1 = 125 - 20 + 1 = 106

Therefore, g(f(4)) = 106.

The expression [tex]V^2 (V^2_Z)[/tex] is called mean-square speed.

In Mathematics and Science, mean-square speed is sometimes referred to as root-mean-square speed and it can be defined as a measure of the average value of square-speed of particles that are found in a molecule, gas, or liquid.

Mathematically, the mean-square speed of any particle is denoted or represented by this expression [tex]V^2 (V^2_Z)[/tex].

This ultimately implies that, mean-square speed is always calculated as the square root of the average value of the squares of the speeds (velocities) of each particles in thermodynamics and kinetic theory of gases.

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Complete Question:

The expression [tex]V^2 (V^2_Z)[/tex] is called ______?

Answer:

C. 16√5

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]48^2 = 32^2 + x^2\\2304 = 1024 + x^2\\x^2 = 1280\\x = \sqrt{1280}\\[/tex]

[tex]\sqrt{1280}[/tex] is also equal to [tex]16\sqrt{5}[/tex].

Answer: hmm this question is based on 6-80 and if you calulate the sum and difference it is -74

The volume of the cylinder that has a diameter of 7 yards and a height of 12 yards is: 147π cubic yard.

The volume of a cylinder can be determined by applying the volume formula which is given as:

Volume (V) = πr²h,

where "r" is the radius of the cylinder

"h" is the height of the cylinder

π is a constant

Given the following:

Diameter of cylinder = 7 yards, thus, radius (r) = 7/2 = 3.5 yards

Height (h) = 12 yards

Plug in the values:

Volume of the cylinder = π * 3.5² * 12 = 147π cubic yard.

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The volume of the figure that was created by the triangle being rotated, would be 94. 83 units ³

When a triangle is rotated about y = x, a right circular cone is created. The formula is:

= π r² h / 3

We need to find the height and radius. The coordinates for the right circular cone are:

(0,0) - (0,0)

(8,8) - (8,8)

(4,12) - (12,4)

Using this, we find that the radius is 4 units. The height can be found by using any point such as ( 12, 4).

= √ ( ( 12 - 8) ² + ( 4 - 8 ) ²)

= 5. 66 units

The volume would therefore be:

= π x 4² x 5. 66 / 3

= 94. 83 units ³

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Answer:

The answer is 1/5

Step-by-step explanation:

5ft:25ft=5ft/25ft=1/5

Answer:

1/2

Step-by-step explanation:

The value of R² (coefficient of determination) is 0.0214

We know that the formula for the coefficient of determination is,

R² = 1 - (SSR / SST)

where, R² is  the coefficient of determination

SST is the total sum of squares

SSR is the sum of squares of regression

Here, the total sum of squares (SST) = 11654

and the sum of squares of regression (SSR) = 11405

Using above formula,

R² = 1 - (SSR / SST)

R² = 1 - (11405 / 11654 )

R² = 1 - 0.9786

R² = 0.0214

This is the required value.

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Find the complete question below.

The length BC of the bisected line segment is: 11.5

Usually a line that bisects a segment usually divides that segment into two equal parts.

Now, we are told that DE bisects Line AC at point B where AB = 3a + 4.

Thus, from the idea of a bisected segment, we can easily say that:

2(3a + 4) = a + 23

6a + 8 = a + 23

6a - a = 23 - 8

6a = 15

a = 15/6

a = 5/2

a = 2.5

Thus:

AB = BC = 3(2.5) + 4

BC = 11.5

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Answer:

-x³ + 4x²

Step-by-step explanation:

-x^2(x-4)

Distribute

-x³ + 4x²

So, the answer is -x³ + 4x²

Answer:

width = 9 in

Step-by-step explanation:

Area = A = length x width = w x l

w = A/l = 54 in²/6 in = 9 in

Answer:

Step-by-step explanation:

The rule for a triangle is that if you add the 2 shorter sides, it must be greater than the longest side (can't even be =, must be bigger.

A.  36+48>60 true yes triangle

B   6.2+5.7>9.4 yes triangle

C.  20+20 is not greater than 50 no not at triangle

D.  12+24>32 yes triangle

Vertical angles mean angles across from each other when 2 lines intersect.

So:

B, C, D  are vertical angles

Answer:

angle m∠WXY intercepts the diameter WY.

Then,

m∠WXY  =  90°

(13x - 1)°  =  90°

13x - 1  =  90

Add 1 to each side.

13x  =  91

Divide each side 13.

x  =  7

Step-by-step explanation:

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