A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

sin(θ) = (√33)/7 = √(33/49)

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Answer:

The answer is D.

Step-by-step explanation:

Edge 2022

Answer: the one on the bottom left

Step-by-step explanation:

Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)

Put values

Option B

Let's solve it out

Answer:

Julia can afford 5 stops including the initial fee

Step-by-step explanation:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

$21 - $5  ÷ $2.75 = 5 with remainder

Answer:

d) x(x-8)

Step-by-step explanation:

Both of the denominators in the problem have to be in the common denominator. It needs the x because of the 6/x and it also needs to have x-8 because of the right side of the equation.

Answer:

d x(x - 8).

Step-by-step explanation:

That would be x * (x - 8)

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

According to analytical geometry, we could know the equation of the line by means of the point-slope equation:

y - y₁ = m · (x - x₁)     (1)

Where:

If we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:

y + 3 = -(1/3) · (x + 3)

y + 3 = -x/3 -1

y = -x/3 - 4

Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

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Answer:

9PM

Step-by-step explanation:

3pm - 40x3=120 Miles Travelled (Noon Train)

3pm - 60x0=0 Miles Travelled (3pm Train)

4pm - 40x4=160 Miles Travelled (Noon Train)

4pm - 60x1=60 Miles Travelled (3pm Train)

5pm - 40x5=200 Miles Travelled (Noon Train)

5pm - 60x2=120 Miles Travelled (3pm Train)

6pm - 40x6=240 Miles Travelled (Noon Train)

6pm - 60x3=180 Miles Travelled (3pm Train)

7pm - 40x7= 280 Miles Travelled (Noon Train)

7pm - 60x4=240 Miles Travelled (3pm Train)

8pm - 40x8 = 320 Miles Travelled (Noon Train)

8pm - 60x5=300 Miles Travelled (3pm Train)

9pm - 40x9 = 360 Miles Travelled (Noon Train)

9pm - 60x6= 360 Miles Travelled (3pm Train)

Best examples

Boyles law

Current with resistance

Resistance with length of wire

Pressure with area

Answer:

similar

Step-by-step explanation:

Answer:

Similar

Step-by-step explanation:

For similarity or congruence we use ~ symbol not equal to

Answer:

Sn=a1(1−rn)1−r,r≠1 C.

Answer:

The given equation is expansion of (a-b)²= a²-2ab+b²

[tex]\sqrt{25-10\sqrt{3} +3} \\ \sqrt{ {(5 - \sqrt{3})}^{2} } \\ (5 - \sqrt{3})[/tex]

Answer:

... There isnt answer choices...

Answer:

the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)

Step-by-step explanation:

this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)

Answer:

25 percent.

Step-by-step explanation:

To begin we want to find the area of the small circle. That would be pi(r)^2 or 9pi after plugging in the 3 for the radius. We can only assume that the large circle is double the radius of the smaller circle so it would be 6. Plug 6 in and get 36pi for the area of that circle. 9pi/36pi will equal 0.25 and that will be your percentage. I hope this helped.

Answer:

y = (x + 3)² - 9

Step-by-step explanation:

Parabolic Equation (with vertex) :

Explanation:

Volume of rectangular prism: Length * Width * Height

Solve:

1)

Volume: 9 * 9 * 9 = 9³ = 729 cm³

2)

Volume: 7 * 3 * 2 = 42 m³

3)

Volume: 7 * 7 * 7 = 7³ = 343 cm³

Answer:

490.1 in^3

Step-by-step explanation:

In order to find the volume of a cylinder, you would multiply the area of the base b the height, so a cylinder with base [tex]26 \pi in^{2}[/tex] and height 6 in would be [tex]26\pi \times 6[/tex]

This multiplies to 490.08845396 when put in a calculator, and rounded to the nearest tenth, the answer is 490.1 in^3

The approximate perimeter of the given shape is; 33.70cm.

It follows Fromm the task content that the perimeter of the shape can be determined by determining the length of the curved surface and the the other three outer surfaces as follows;

The perimeter of the shape is therefore; 18 + 15.70 = 33.70cm.

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Answer:

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Step-by-step explanation:

Given:

[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.

Divide volume of the Earth with the volume of Mercury.

[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

The triangle PAT is an isosceles triangle because the side lengths PA and AT are congruent

The points are given as:

P = (1,6)

A = (4,5)

T = (5,2)

Calculate the distance between both points as follows:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]PA = \sqrt{(1 -4)^2 + (6-5)^2}[/tex]

[tex]PA = \sqrt{10}[/tex]

[tex]PT = \sqrt{(1 -5)^2 + (6-2)^2}[/tex]

[tex]PT = \sqrt{32}[/tex]

[tex]AT = \sqrt{(4 -5)^2 + (5-2)^2}[/tex]

[tex]AT = \sqrt{10}[/tex]

Because the side lengths PA and AT are congruent, i.e. √10, then the triangle is an isosceles triangle

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This is not a valid conclusion because the data was not randomly collected from various classes in the school but from a particular class.

The collection of data for a research work should be done in such a way as to include a good number of the test subjects.

The sampling methods that can be used to gather better data include the following:

These methods will ensure that a good number of the test subjects are included in the research work in order to form a valid conclusion.

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A function assigns the values. The average rate of change for the given function g(x) is 1.

A function assigns the value of each element of one set to the other specific element of another set.

The average rate of change of a function is given by the formula,

Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]

Where a is the lower limit and b is the upper limit.

Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,

a = 0

g(a) = 0²+10(0)+20 = 20

b = -9

g(b) = (-9)²+10(-9)+20 = 11

The average rate of change for the function g(x), can be written as,

[tex]\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1[/tex]

Hence, the average rate of change for the given function g(x) is 1.

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Answer:

x = -2/7

Step-by-step explanation:

The excluded values of the given expression are all the values of x that will make the denominator (7x + 2) = 0. This is because you cannot divide by 0...at least in algebra.

1. 7x + 2 = 0

7x = -2

x = -2/7

Therefore, x = -2/7 is the excluded value.

Answer:

3rd option

Step-by-step explanation:

[tex]\frac{14x}{7x+2}[/tex]

the denominator cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that x cannot be.

7x + 2 = 0 ( subtract 2 from both sides )

7x = - 2 ( divide both sides by 7 )

x = - [tex]\frac{2}{7}[/tex] ← excluded value

C. The cost of 6 show tickets is $30.

bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30

Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885[/tex]

The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{10 - 8.6}{0.6885}[/tex]

Z = 2.03.

Z = 2.03 has a p-value of 0.979.

1 - 0.979 = 0.021.

The probability the sample mean is more than 10 words is of 0.0210.

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Answer:

Variance

Step-by-step explanation:

Biased estimators ar ethe values in which the calculated value is less than the estimated values .

For statistics sector this word is used.

Mean and medians are standards and unbiased estimators .

Option A

In between: variance, proportion, median and mean, variance is considered a biased estimator.

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Because they are centered on parameters, the sample percentage (p) and sample mean (x) are both unbiased estimators.

When the population is normal, the sample median is a fair estimate of the population median. It is untrue that the sample median is a fair estimator of the population median for a broad population, nevertheless. When the population is not symmetric, the sample mean is a biased estimator of the population median.

A biased estimate of the population variance is the sample variance.

Therefore, a biased estimator is variance.

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Answer:

Step-by-step explanation:

Solving :

Q1

Q2

Q3

The volume of the sphere will be V = 1570.79 cubic cm.

The Volume of the sphere is the amount of quantity, which is obtained in the 3-dimensional space. A sphere is a circular ball type three dimensional object.

Given that:-

The volume of the sphere will be calculated as:-

V  =  4 π r³

V =  4  x   π   x  ( 5)³

V  =  1570.79 cubic cm

Therefore the volume of the sphere will be V = 1570.79 cubic cm.

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