Find an angle θ, with 0? < θ < 360?, that has the same: (a) Cosine as 240? (b) Sine as 240?

Answer:

-10/f-6f

Step-by-step explanation:

simplify it the equation

Correct answer is B. Initial value is 75 and it means he started with $75 before he started saving each week.

Weekly savings refer to the practice of setting aside a certain amount of money from your income or pocket money every week to save towards a specific financial goal. It involves creating a budget, determining your expenses, and allocating a portion of your income towards savings on a weekly basis.

The amount that you save each week can vary depending on your income, expenses, and financial goals. Some people may choose to save a fixed amount each week, while others may save a percentage of their income.

Weekly savings can help you develop good financial habits, build a healthy emergency fund, save for a down payment on a home or car, or even invest for retirement. It can also help you avoid overspending and accumulate savings over time without feeling overwhelmed by the task of saving.

So, the amount of money Eric saves each week, Eric initially have $75 and it means he started with $75 before he started saving each week.

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Answer:

v = 10.6 m/s

Step-by-step explanation:

Given that,

Distance covered by a sprinter, d = 100 m

Time, t = 9.42 seconds

We need to find the sprinter's average speed. It is equal to the total distance covered divided by the time taken. So,

\(v=\dfrac{d}{t}\\\\v=\dfrac{100\ m}{9.42\ s}\\\\v=10.6\ m/s\)

So, the sprinter's average speed is 10.6 m/s.

Answer:

y-3x-2

Step-by-step explanation:

take 2 points (1,1), (3,7)

find the slope: 7-1/3-1=3

plug into y=2x+b (used pt (1,1) )

1=3(1)+b

1=3+b

b=-2

y=3x-2

Exponential growth is a mathematical transformation that grows indefinitely using an exponential function.

Exponential decay occurs in mathematical functions when the pace by which changes are occurring are decreasing and must thus reach a limitation, which is the horizontal asymptote of an exponential function

The simplest representation of exponential growth and decay is the formula \(ab^{x}\), where 'a' is the initial quantity, 'b' is the growth factor which is similar to the common ratio of the geometric progression, and 'x' in the time steps for multiplying the growth factor.

Mathematically, for exponential growth, the value of b is greater than 1 (b > 1), and for exponential decay, the value of b is lesser than 1 (b < 1).

In other words, if value of y increase exponentially with increase in value of x, it is exponential growth. Whereas, if value of y decrease exponentially with increase in value of x, it is exponential decay.

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Answer:

b

Step-by-step explanation:

it might be wrong

The number of minutes it will take for the population to reach 186.6 million is given as follows:

8.1 minutes.

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

Hence the function for the population after x minutes is given as follows:

\(P(t) = 159(1.02)^t\)

Then the time needed for the population to reach 186.6 million is obtained as follows:

\(186.6 = 159(1.02)^t\)

\((1.02)^t = \frac{186.6}{159}\)

\(t = \frac{\log{\left(\frac{186.6}{159}\right)}}{\log{1.02}}\)

t = 8.1 minutes.

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The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.

Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.

Given the following:

Length of arc = 6.47 cm

Radius (r) = 2.9 cm

θ = m∠DAB

Plug in the values into the arc length formula:

6.47 = θ × 2.9

6.47/2.9 = θ

θ = 2.23 radians

m∠DAB = 2.23 radians

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Answer:

DAB = 2.23 radians

Hope this helps!

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

blue = 1

red = 10

green= 2

Answer:

43

Step-by-step explanation:

red:10

green 1:4

green 2:8

blue 1:3

blue 2:6

blue 1 + red 1 * green 1

PEMDAS: (10*4)=40

3+40=43

Answer:

No

Step-by-step explanation:

10x - 4

x = 2/5

Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.

Answer:

-infinity < x < infinity

Step-by-step explanation:

it has none.

Answer:

x-intercept = -2

Step-by-step explanation:

*Note = x-intercept is when y is 0*

y + 2 = 2(x + 3)

0 + 2 = 2(x + 3)

2 = 2x + 6

2 - 6 = 2x

-4 = 2x

-4/2 = 2x/2

-2 = x

To check, we find the Slope intercept Form and Graph it.

y + 2 = 2(x + 3)

y + 2 = 2x + 6

y = 2x + 6 - 2

y = 2x + 4

Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

Answer:

the third one, the one that says 0.625

Step-by-step explanation:

Answer:

(x+7)(x+9)

Step-by-step explanation:

(x+7)(x+9)

Apply the distributive property by multiplying each term of x+7 by each term of x+9.

x^2+9x+7x+63

Combine 9x and 7x to get 16x.

x^2+16x+63

Answer: The dimensions of the skating ramp is 324.

Step-by-step explanation: I know people don't like long Answers so I will give you a long one :). The text says "A skating ramp is in shape of a rectangle and has an area of 36 square untied the length of the rectangle is one more than two times". If the ramp is a rectangle then they must have done (9x4=36). But it needs the be triple that so, 9+9+9=27 and 4+4+4=12. Which means 27x12=324 would be the answer.

                                                      :)

Answer:

24 teaspoons of yellow

Step-by-step explanation:

The ratio of blue to yellow is 6 to 8.

\( \frac{6}{8} = \frac{18}{y} \)

We see that y = 24 since 18 = 3 × 6 and

24 = 3 × 8.

In Friedman's test for a randomized block design, the correct alternative hypothesis is a. ha: not all the sample means are equal

The Friedman's test is a non-parametric statistical test used in randomised block designs, where the same individuals are evaluated under various circumstances or at various times, to compare three or more similar groups or treatments. In Friedman's test, the alternative hypothesis (Ha) argues that certain sample means are not equal to all other sample means,

Whereas in the test, null hypothesis (H0) states that all sample means are equal. In other words, the alternative hypothesis takes into account the likelihood of such differences and Friedman's test is used to assess if there are any statistically significant variations in the mean rankings of the groups or treatments.

Complete Question:

In friedman's test for a randomized block design, what is the correct alternative hypothesis?

a. ha: not all the sample means are equal

b. ha: all the medians are equal

c. ha: not all the medians are equal

d. ha: all sample means are equal

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Answer:

A

Step-by-step explanation:

2 trays with 30 eggs in each =

2x30 = 60 eggs total

10 eggs broke so she has 50 eggs left

she sold each for sh. 15 so

15(50) = 750

Step-by-step explanation:

Solution,

Given:-

To find:-

Now,

by the question and given conditions we have

Hence, the the value of 4bc is 48.

Answer: 4bc = 48

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

a = 5

b = 2

c = 6

Given expression

4bc

Substitute values into the expression

= 4 (2) (6)

Simplify by multiplication

= 8 (6)

= \(\boxed{48}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Yasmin will spend $6

Nadia will spend $5.9

Step-by-step explanation:

Step one:

the cost of 5 jars at Central market is $3

the cost of 1 jar = 3/5= $0.6

60 cents per jar

we are told that Valley Market sells jars of jam at 59 cents per jar.

$0.59

Step two:

If Yasmin buys 10 jars from Central Market,

Yasmin will spend = 10*0.6= $6

If Nadia buys 10 jars from Valley Market.

Nadia will spend = 10*0.59= $5.9

The market difference is 6-5.9= $0.1

The angle that satisfies the necessary requirements is  1041° - 2(360°) = 321°. Coterminal angles are those with the same terminal point in the standard position.

To understand, follow the 2 basic steps:

Step 1: Find the specified angle.

Step 2: Finding a coterminal angle.

Tally up or tally down a multiple of 360.

θ = 1041°

Every multiple of 360 degrees added or subtracted results in an angle that is coterminal with the provided angle.

Hence, 1041° - 2(360°) = 321° is an angle that satisfies the necessary requirements.

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Answer:

= 75 cubic units

Step-by-step explanation:

Volume = height * width * length

Then:

volume = 4 1/2 * 3 1/3 * 5

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

3 1/3 = 3 + 1/3 = 9/3 + 1/3 = 10/3

Then:

volume = 9/2 * 10/3 * 5/1

volume = (9*10*5) / (2*3*1)

volume = 450 / 6

Volume = 75 cubic units

The total number of voters is 1200, and out of that 720 voters cast their votes.

Let's take total voters = V

The percentage of voters do not cast their votes due to various reasons is 40%.

Therefore, Voters did not cast their votes = (40÷100)V = 0.4V

As 0.4V voters did not cast their votes. To calculate the total number of voters who cast votes, divide (total) by (non-casted-voters):

Voters casted their votes = V  - 0.4V = 0.6V

0.6V = 720

=> V = 1200

The total number of voters is 1200 if 720 voters cast their votes.

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Answer:

A: sin(55.13+22.62) = .969

B: Cos(55.13-22.62) = .861

C: sin(2*55.13) = .96

D: cos(2*55.13) = -.28

E: tan(55.13+22.62) = 3.9375

F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969

Step-by-step explanation:

I would like to preface this by saying that my trig is probably rusty so maybe double check my work. I will try to overexplain it so you can easily spot any errors I may make

To solve for x we know that sin(x)=4/5

we can solve for x by using the arc sin

This means that x=arcsin(4/5) which gives me around x=53.13

We can then use the same process for y but with 5/13

so arcsin(5/13) gives us around y=22.62

Then it's just a matter of plugging everything in

A: sin(55.13+22.62) = .969

B: Cos(55.13-22.62) = .861

C: sin(2*55.13) = .96

D: cos(2*55.13) = -.28

E: tan(55.13+22.62) = 3.9375

F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer: 0.1      

0.1<0.104

Step-by-step explanation:

The equation of the line that is parallel to y = 2/3x + 19 and passes through (-9, 4) is: y = 2/3x + 10.

Two lines that are parallel have equal slope (m).

In the slope-intercept form of the equation of  given line, y = mx + b:

Given:

A point (-9, 4)

Equation, y = 2/3x + 19.

The slope (m) = 2/3.

The line that passes through (-9, 4) and is parallel to y = 2/3x + 19 would also have a slope (m) = 2/3.

Substitute (x, y) = (-9, 4) and m = 2/3 into y = mx + b to find the value of b:

4 = 2/3(-9) + b

4 = -6 + b

4 + 6 = b

b = 10

To write the equation, substitute m = 2/3 and b = 10 into y = mx + b:

y = 2/3x + 10.

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Answer:

Step-by-step explanation:

Case 1

O in between A and B

Distance between midpoints:

Case 2

B in between O and A

Distance between midpoints: