Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate).

4 sin(2θ) − 2 sin(θ) = 0

Answer:

d

Step-by-step explanation:

plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members

Answer:

a

Step-by-step explanation:

Answer:

no answer b/c the terms are unlike term

Answer:

D. ( 1,4)

Step-by-step explanation:

The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

The formula for calculating the margin of error is expressed as:

[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportion

n is the sample size

Given the following parameters;

p = 75% = 0.75

n = 280

z = 2.576

Substitute into the formula

[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]

Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

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Answer:

Step-by-step explanation:

Use Pythagorean to verify:

As we see the equation is not true, so the answer is no

Let's use Pythagorean theorem to verify

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 5^2=4^2+2^2[/tex]

[tex]\\ \sf\longmapsto 25=16+4[/tex]

[tex]\\ \sf\longmapsto 25\neq 20[/tex]

Not a right triangle

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18

Answer:

C would be the answer

Hope this helps!

Answer:

the anser is the first one

Answer:

15.625

Step-by-step explanation:

Answer:

[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]

If z = (6x + 2y)⁹, then the partial derivatives of z are

• with respect to x :

∂z/∂x = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂x

∂z/∂x = 9 (6x + 2y)⁸ • 6

∂z/∂x = 54 (6x + 2y)⁸

• with respect to y :

∂z/∂y = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂y

∂z/∂y = 9 (6x + 2y)⁸ • 2

∂z/∂y = 18 (6x + 2y)⁸

Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode

Outliers are usually large or very low values, and they always affect the mean of the dataset.

Also, they affect the range of the dataset.

The standard deviation is dependent on the mean of the dataset.

This means that, outliers would also have effects on the standard deviation.

However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.

Hence, the true options are mode and median

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Answer:

So lets isolate y

we have

-2x+3y=9

2/3x +2y=0

Im gonna do the first equation

so -2x + 3y = 9

Add 2x on both sides

3y= 9+ 2x

Now divide by 3 to isolate y

y= 3+ 2/3x

Now we can subsitute y into any eqaution (I’m gonna do the second one) to solve.

2/3x+ 2(3+ 2/3x)= 0

Solve:

2/3x+ 6 + 4/3x = 0

6/3x +6= 0

2x+6=0

2x= -4

x= -2

Now we can subsitute this for any equation.

so I’m gonna do the first equation

-2(-2)+3y=9

4+3y=9

3y= 5

y= 5/3

y= 1 2/3

Final answer:

x=-2

y= 1 2/3

Answer:

10 1/8 or 81/8

Step-by-step explanation:

Answer:

A. 2/5

B. 1/10

Step-by-step explanation:

First off we need to calculate the probability that the chosen child is a girl So to calculate this probability, we have to know the num. of girls which is seen in the table. There are a total of 8 girls.

Therefore the probability of a girl being chosen is equivalent to the number of girls/exact number of children = 8/20 = 2/5 simplified.

Now to find the probability that the chosen girl is left-handed.

The amount of left-handed girls there is only 2. therefore the probability of selecting a left-handed girl will be 2/20 = 1/10 simplified.

Using the principle of proportional relationship, the number of whole serving that can be made is 26.

Recall :

Total amount of aquafaba in ounces :

Amount of aquafaba required per serving of consomme :

1 serving = 6 oz

x servings = 160 oz

Cross multiply

6x = 160

Divide both sides by 6

x = 160/6

x = 26.667

Hence, the amount of whole serving that can be made is 26.

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In the experiment, the response variable is the dependent variable, or the measured variable.

Reasons:

The study Leonard conducts is a study to determine if the number of

hawks located in the park affects the number of squirrels in the park.

The response variable is the variable of the experimental result, which is

the dependent or output variable obtained by manipulating the input

variable.

In the experiment conducted by Leonard, the variable that is being

manipulated, which is the input variable is the number of hawks in the park

The variable that is being measured, which is the output variable or the

response variable, is; B. the number squirrels in the park.

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Answer:

Least to greatest

0.75 , 1.25 , -1. 08 , -0. 5

Step-by-step explanation:

Hope my answer helps you

Answer:

4.5

Step-by-step explanation:

We are here given that ,

=> f(x) = 2x - 5

=> y = 2x - 5

Replace x and y with each other .

=> x = 2y - 5

solve for y ,

=> 2y = x +5

=> y = (x+5)/2

=> f-¹(x) = (x+5)/2

Now ,

=> f-¹(4) = 4+5/2 = 9/2 = 4.5

(2x+4y=16).....1

(2x-4y=0).....2

then take equation 1 plus 2

4x=16

x=4

then take equation 2 to solve for y

2x-4y=0

(2×4)-4y=0

y=2

therefore answer is D. (4,2)

Answer:    X (3/2,0)   Y (0,-2)

Step-by-step explanation:

We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.

Remember that for a circle of diameter D, the perimeter or circumference is:

p = pi*D

where pi = 3.14

So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.

Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10

Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:

C = (1/2)*3.14*10 = 15.7

And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:

Perimeter = 15.7 + 10 + 10 = 35.7

If you want to learn more, you can read:

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[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The third side of the Triangle should be greater than the difference of other two sides, so

And, The third side should be less than the sum of other two sides that is ~

Considering these two inequalities, we get ~

Answer:

The answer is 10.

Step-by-step explanation:

I'm certain this is correct. :D

Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Step-by-step explanation:

x is the price of the battery

x + 1.50 is the price of the torch

x + (x + 1.50) is 2.50

x + (x + 1.50) = 2.50

2x = 2.50 - 1.50

2x = 1

x = 1/2

x = 0.50

The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Answer:

A factor is one of the constants or variables that is multiplied with another factor to produce a term. The term 4x has factors 4 and x. To factor means to separate what is being multiplied. So factoring “takes apart” the product of multiplying.