If the measure of angle ø is 3pie/4, which statements are true?
The measure of the reference angle is 45°.
cos (0) = √2
sin (0) = √2
The measure of the reference angle is 60°.
The measure of the reference angle is 30°.
tan (0) = 1

The ratio of the number of sundaes with nuts to the number of sundaes without nuts is; 11:39

We are given;

Number of sundaes with nuts sold = 11

Number of sundaes without nuts sold = 39

Thus, the ratio of the number of sundaes with nuts to the number of sundaes without nuts is;

11:39

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The mean distance is increased by a factor of [tex]2^{3/2}[/tex] if the orbital period  of planet y is twice that of the planet x.

Description of the Kepler's law.

The orbital period T and the mean distance from the sun, A, expressed in astronomical units (AU), are related in accordance with Kepler's third law.

The mathematical formula is,

T² = A³

Here, T denotes the orbital period and A represents the average separation or mean distance from the sun.

Now, if T(y) = 2T(x)

⇒ A'³(y) = 2A³(x)

A'(y) = [tex]2^{3/2}[/tex]A(y)

Thus, if orbital period of planet y is twice the orbital period of planet x, the mean distance is lengthened by a factor of [tex]2^{3/2}[/tex].

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Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge

Answer:

$0.45.

Step-by-step explanation:

Total amount of money held by all 5 children

= 5 * 0.50 = $2.50.

After 0.25 is lost the total = $2.25.

So the new average = 2.25 / 5

= $0.45.

Total slack is calculated by the late finish minus early finish and the late start minus the early start

Total slack is simply the amount of time taken for a task to be delayed before the project finish date is delayed. It can be positive or negative.

It is calculated as the calculated as the value of the Late Finish minus the Early Finish field, and the Late Start minus the Early Start field.

Total slack = Late finish - early finish + late start - early start

Thus, the total slack is calculated by the late finish minus early finish and the late start minus the early start.

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Answer:

9,240

Step-by-step explanation:

For the first number, there are 22 numbers available to choose from. For the second number, there are 21 numbers available, since the first number cannot be the same as the second number. And for the last number, there are 20 remaining numbers to choose from. So, there are 22*21*20=9240 possible sequences.

The value of f(x) when x is -6 is 1.

Composite functions are also known as function of a function. In order to get a composite functions f(g(x)).

g(4) = -6 (the value of g(x) when x is equivalent to 4 is -6)

f(g(x))= f(g(4)) = f(-6)

f(-6) = 1

The value of f(x) when x is -6 is 1.

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The answers are as follows:

a. There are 6 ways of tossing a coin and then drawing a marble from the bag. (Tree diagram is shown in the diagram below) The probability is 1/12.

b. These are independent events since tossing a coin does not affect the drawing of marble from the bag.

c. From the tree diagram, the probability of tossing a head and drawing a red marble is 1/6(since they are independent events).

d. The probability of drawing two blue marbles if the first marble is not replaced is 1/5(since they are dependent events).

It is given that a bag contains,

Number of white marbles(W) = 1

Number of Blue marbles (B) = 3

Number of Red marbles (R) = 2

Thus, there are 6 marbles in the bag. So, the sample space for drawing a marble = 6

a. Finding all the possible outcomes using a tree diagram:

The possible outcomes from the tree diagram are

(H, W), (H, B), (H, R), (T, W), (T, B),  and (T, R)

The probability of tossing head or tail = 1/2

The probability of drawing a marble from the bag = 1/6

So, the compound probability = (1/2)(1/6) = (1/12)

The sample space for this is 12.

b. Independent or dependent events:

These are independent events since the tossing of a coin does not affect the drawing of marble from the bag.

c. Finding the probability of tossing a head and drawing a red marble:

The probability of tossing a head = 1/2

The probability of drawing a red marble = 2/6 = 1/2

Since they are independent events,

The required probability = (1/2)(1/2) = 1/4

d. Finding the probability of drawing two blue marbles if the first marble is not replaced:

The probability of drawing a blue marble from the bag(1st attempt) = 3/6

The probability of drawing another blue marble from the bag (2nd attempt) = 2/5 (From the leftover marbles after the first attempt)

Since they are dependent events, the probability of the 2nd event is calculated only after the first event is calculated.

So, the required probability = (3/6)(2/5) = 1/5

Thus, all the probabilities are calculated.

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Answer:

a. x² + 10x + 25

Step-by-step explanation:

because

(x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25

so, it is a perfect square of (x + 5).

Answer:

Step-by-step explanation:

If Sam has 4 times as many nickels as dimes and they have a combined value of 120 cents, how many of each coin does he have

The t-test statistic is used to evaluate whether there is any significant difference between the mean hourly wages.

To evaluate whether there is a statistically significant difference between the means of two variables, a t-test is an inferential statistic that is utilized.

A statistical test for assessing hypotheses is the t-test.

The difference between the means from each data set, the standard deviation of each group, and the total number of data values are the three basic data values needed to do a t-test.

There are independent and dependent T-tests.

The problem statement is established mathematically by using a sample from each of the two sets in the t-test. It presupposes that the two means are equal, which is the null hypothesis.

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To find the unpaired electrons:

Therefore, unpaired electrons are:

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Answer:

2

Step-by-step explanation:

There are only 2 numbers in the final answer (6.0), so you just need 2 significant figures.

Answer:

[tex]y = -x^{2} +4x-10[/tex]

Step-by-step explanation:

I used a graphing calculator to calculate the points so I'm not sure how to do it without, but I hope this helped!

The parent function of g(x) = |x - 7| +6 is f(x) = |x|

The function is given as:

g(x) = |x - 7| +6

The above function is an absolute function, and the parent function is f(x) = |x|

Hence, the parent function of g(x) = |x - 7| +6 is f(x) = |x|

When f(x) is reflected across the x-axis, we have:

f'(x) = -|x|

When f(x) is reflected across the y-axis, we have:

f'(x) = |x|

When f(x) is stretched horizontally by a factor k

g'(x) = |kx|

When f(x) is stretched vertically by a factor k

g'(x) = k|x|

When f(x) is shifted horizontally by k units

f'(x) = |x ± k|

When f(x) is shifted vertical by k units

f'(x) = |x| ± k

See attachment for the graph of g(x)

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Answer: [tex]y=4x^3[/tex]

Step-by-step explanation:

See attached image.

The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The parent function is,

⇒ y = x³

Now, After vertically stretched by a factor of 4 we get;

The value of function is,

⇒ y = 4x³

Hence, The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

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The length of side DF is 3.75.

Given that within the figure there are two triangles that are similar.

Congruent triangles will be triangles that have a comparable measure and shape. This infers that the comparing sides are comparable and the relating focuses are equivalent.

Two comparative triangles are given.

If two triangles are comparable at that point their comparing sides are relative and comparing points are congruent.

DF/AB=EF/BC

Substitute the values from the given figure

DF/15=6/24

Cross multiply both sides, and we get

DF×24=6×15

DF×24=90

Divide both sides by 24, we get

(DF×24)/24=90/24

DF=15/4

DF=3.75

Hence, the length of side DF from the given figure is 3.75.

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Answer:

946

Step-by-step explanation:

Let's make an equation :

34% of x = 321.8

Covert 34% into decimal by dividing by 100 :

34 ÷ 100 = 0.34

Rewrite equation with decimal form :

0.34x = 321.8

Divide both sides by x to make x the subject :

x = 321.8 ÷0.34

x = 946.470588235

To the nearest whole number will be 946 as 4 rounds it down

So our final answer will be 946

Hope this helped and have a good day

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{34}{100} \sdot x = 321.8[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \cfrac{(321.8) \sdot(100)}{34} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 946.47[/tex]

Round off to nearest whole number :

[tex]\qquad \sf  \dashrightarrow \: x = 946[/tex]

Answer:

Step-by-step explanation:

Area = h/2 (b_1+b_2)

[tex]\sf\cfrac{7}{2}\:(22+34)[/tex]

Add 22 and 34 = 56

[tex]\sf \cfrac{7}{2} \times 56[/tex]

Let's express 7/2 * 56 as a single fraction:-

[tex]\sf \cfrac{7\times 56}{2}[/tex]

Multiply 7 and 56 = 392

[tex]\sf \cfrac{392}{2}[/tex]

Divide

[tex]\sf 196[/tex]

Therefore, the area of the trapezoid is 196cm².

_______________________

Answer: 30.

Step-by-step explanation:

[tex]7\frac{1}{2} =\frac{7*2+1}{2} \\\frac{14+1}{2}=\frac{15}{2}\\ \frac{15*2}{2*2}=\frac{30}{4} \\ \frac{30}{4}=30*\frac{1}{4} .[/tex]

There are total 30 quarters in [tex]7\frac{1}{2}[/tex].

A quarter is one out of four equal parts. One quarter is the same as the fraction ¼.

A fraction represented with its quotient and remainder is a mixed fraction.

To change a mixed fraction to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

According to the given question.

We have a mixed fraction [tex]7\frac{1}{2}[/tex].

So, the improper fraction of the given mixed fraction is given by

[tex]7 \frac{1}{2} = \frac{15}{2}[/tex]

To find the number of quarters in the given mixed fraction, we will divide [tex]7\frac{1}{2}[/tex]  by  [tex]\frac{1}{4}[/tex].

Therefore,

[tex]\frac{7\frac{1}{2} }{\frac{1}{4} }[/tex]

= [tex]\frac{\frac{15}{2} }{\frac{1}{4} }[/tex]

[tex]= \frac{15\times 4}{2}[/tex]

[tex]= 15\times 2[/tex]

[tex]= 30[/tex]

Hence, there are total 30 quarters in [tex]7\frac{1}{2}[/tex].

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A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)

We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday

A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.

The confidence interval of proportions is given by:

π ± z √(π (1-π) /n)

π is the sample proportion.

z is the critical value.

n is the sample size.

For 99% confidence interval the value of z is 2.58

π = 321/650

The confidence interval is given by

=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)

= (0.493846 ± 0.050594)

=(0.4434 , 0.5443)

=(44.34 % , 54.43 %)

Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)

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Answer: -8 points

Step-by-step explanation: because he lost 50, and he originally had 42, a smaller number, the answer will go into the negatives.

42-50= -8, which is how you get the answer!

Answer:

-8

Step-by-step explanation:

42-50 is the same as 50-42, except the answer is negative

Answer:

25 minutes

Step-by-step explanation:

If it takes 5 minutes to prepare one game we need to multiply 5 games by 5 minutes: 5*5 = 25 minutes

The minimum value of c = 7x + 8y is 42. The minimum value is obtained at point (6, 0).

To calculate the minimum value of the given equation w.r.t the given constraints(inequalities), the steps are:

Step 1: Identify the system of inequalities in the given constraints

Step 2: Graph those inequalities

Step 3: Identify the maximum and minimum values of x and y that satisfy the given inequalities

Step 4: Then, with the obtained coordinates solve the given equation to get the minimum value.

The given equation is C = 7x + 8y, and the constraints list is

2x + y ≥ 0

x + y ≥ 6

x ≥ 0

y ≥ 0

Graphing these inequalities and shading the region that satisfies the given inequalities.

So, from the graph,

the x-values that satisfy all the given inequalities are [6, ∞]

the y-values that satisfy all the given inequalities are [0, ∞]

So, the required coordinate is (6, 0). By this, we can calculate the minimum value of the given equation C = 7x + 8y

Then,

C = 7(6) + 8(0) = 42 + 0 = 42

Thus, the minimum value of the given equation is 42.

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Disclaimer: The given question is incomplete. Here is the complete question.

Question: What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?

2x + y ≥ 0

x + y ≥ 6

x ≥ 0

y ≥ 0

Area covered with grass seed = 10.4[tex]m^{2}[/tex].

What is trapezoid geometry?

A quadrilateral with one set of parallel opposite sides is referred to as a trapezoid. It can have congruent sides (isosceles) and right angles (a right trapezoid), but neither is necessary.

Area of the trapezoid ={ (a+b)/2} +h

where a and b is base and h is height of the trapezoid geometry.

In the question,

a=6m , b=7m and h=4m.

According to the formula { (a+b)/2} +h.

Area covered with grass seed = {(6+7)/2} + 4

                                                    = 10.4[tex]m^{2}[/tex].

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Answer:

26

Step-by-step explanation:

GOT IT RIGHT`

The correct answer is FV = $11,323.38  

What is compound interest explain?

FV = PV x [1 + R]^N, where FV=Future Value, PV=Present Value, R=Interest rate per period, N=Number of periods.

FV = 9,000 x [1 + 0.047]^5

FV = 9,000 x 1.047^5

FV = 9,000 x 1.258152857750007

FV = $11,323.38

Therefore , the answer is $11,323.38.

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Based on the function, the range of f(x) = 2(3)^x can best be described as y > 0.

When a number is raised to a power, the result will always be positive even if the number is raised to a negative number.

This means that 3^x will always be positive which means that 2(3)^x will also be positive. y will therefore always be greater than 0.

Full question is:

Which best describes the range of the function f(x) = 2(3)^x?

y > 0

y ≥ 0

y > 2

y ≥ 2

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Answer:

Line LM

Step-by-step explanation:

Answer:

A line is a straight path on a plane that extends forever in both directions with no endpoints.

The answer will be lineLM

Answer:

the scale factor is :

[tex]\frac{9}{15}[/tex]

Step-by-step explanation:

The trapezoids TUVW and ABCD are similar

and AB is the corresponding side of the side TU

Then the function that transform TUVW to ABCD is of scale factor :

[tex]= \frac{AB}{TU}[/tex]

[tex]= \frac{9}{15}[/tex]