a) An angle is 21° more than twice its complement. Find it.

Answer:

Angles 2 and 4 are 107.

Angles 1 and 3 are 73

Step-by-step explanation:

Angle 4 is given.  Angle 2 is the same because vertical angles are congruent.

Angles 1 and 3 are supplemental. They add up to 180 (180 - 107 = 73)

Answer:

1a (or) a

Step-by-step explanation:

Given expression,

→ a(5 - 4)

Let's simplify the expression,

→ a(5 - 4)

→ a(1)

→ a × 1

→ 1a (or) a

Therefore, the answer is 1a.

Answer:

25 x 26 = 650

0.25 x 0.26 = 0.065

Step-by-step explanation:

Step-by-step explanation:

if x→+∞, then y→-∞ [increasing];

if x→-∞, then y→+∞ [decreasing].

I'm assuming your equation was:

        [tex]y-2=\dfrac{1}{5}(x-3)[/tex]

Both Jules' line and Lauren's line have a slope of -5 or [tex]-\dfrac{5}{1}[/tex] and those two lines are parallel since they have the same slope.

Perpendicular lines have slopes that are opposite reciprocal values.  

The opposite reciprocal of [tex]-\dfrac{5}{1}[/tex] is a positive [tex]\dfrac{1}{5}[/tex], which is why these two lines are perpendicular to the line at the top of my answer.

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2411\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases}[/tex]

[tex]2411=2000e^{\frac{r}{100}\cdot 4}\implies \cfrac{2411}{2000}= e^{\frac{r}{25}}\implies \log_e\left( \cfrac{2411}{2000} \right)=\log_e\left( e^{\frac{r}{25}} \right) \\\\\\ \log_e\left( \cfrac{2411}{2000} \right)=\cfrac{r}{25}\implies 25\cdot \ln\left( \cfrac{2411}{2000} \right)=r\implies \stackrel{\%}{4.67}\approx r[/tex]

Required equation of line in slope intercept form

y = 4x - 7

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan \theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Slope of the line = 4

y - intercept of the line = -7

The line passes through (0. -7)

Equation of the required line

y - (-7) = 4(x - 0)

y + 7 = 4x

y = 4x - 7

Option D is correct

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The total surface area of the cylinder is 157 square feet.

Given the radius of the cylinder = 4 inches

height of the cylinder = 9 inches

Total surface area is calculated by the formula:

A = 2πr² + 2πh

A = 2 × 3.14 × 4² + 2 × 3.14 × 9

or, A = 157 square feet.

Therefore the total surface area of the cylinder is 157 square feet.

The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.

The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.

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Judgement sampling is not a probability sampling technique

Probability sampling is a technique in which the researcher chooses samples from a larger population using a method based on probability theory. For a participant to be considered as a probability sample, he/she must be selected using a random selection.

The most critical requirement of probability sampling is that everyone in your population has a known and equal chance of getting selected.

1. Simple random sampling, as the name suggests, is an entirely random method of selecting the sample. This sampling method is as easy as assigning numbers to the individuals (sample) and then randomly choosing from those numbers through an automated process. Finally, the numbers that are chosen are the members that are included in the sample.

2. Stratified random sampling involves a method where the researcher divides a more extensive population into smaller groups that usually don’t overlap but represent the entire population. While sampling, organize these groups and then draw a sample from each group separately.

3. Random cluster sampling is a way to select participants randomly that are spread out geographically. For example, if you wanted to choose 100 participants from the entire population of the U.S., it is likely impossible to get a complete list of everyone. Instead, the researcher randomly selects areas (i.e., cities or counties) and randomly selects from within those boundaries.

From the above explanation, cluster sampling, simple random sampling and stratified random sampling are types of probability sampling except for judgement sampling.

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Answer:

20-29 songs

Step-by-step explanation:

Artists with 20-29 songs had the highest total number of people in the crowd.

Parallel lines have the same slope.

y = -1/2 x -3 has a slope of -1/2, so the new line has the same slope.

This gives us: y = -1/2 x + b

To find b, substitute in the given point (4,-1):

   -1 = -1/2 (4) + b

   -1 = -2 + b

    1 = b

The new line is  y = -1/2 x + 1.

To have the same price, 40 stickers will have to be ordered and the equation is 16 = 0.40p.

What is the equivalent equation?

Equivalent equations are algebraic equations with identical solutions or roots. Adding or subtracting the same number or expression from both sides of an equation yields an equivalent equation. An equivalent equation is created by multiplying or dividing both sides of an equation by the same non-zero number.

We have,

for company A :

Design Fee = $30

Costvper sticker = $0.80

for company B :

Design Fee = $14

Cost per sticker = $1.20

Let the number of stickers = p

Total cost of company A = 30 + 0.80p

Total cost of company B = 14 + 1.20p

For the cost to be the same :

Company A = Company B

30 + 0.80p = 14 + 1.20p

Collect like terms :

30 - 14 = 1.20p - 0.80p

16 = 0.40p

p = 16/0.40

p = 40 stickers

Therefore, to have the same price, 40 stickers will have to be ordered and the equation would be 16 = 0.40p.

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Answer:

  (b)  A line that goes through (0, 0) and (3.4, 13.6)

Step-by-step explanation:

You want a description of the line that describes the same proportional relationship as the points given in the table:

  (x, y) = (3.4, 13.6), (5.6, 22.4), (1.7, 6.8)

The graph of the relation will be a straight line through points with (x, y) values from the table. A graph of a proportional relation also goes through the point (0, 0).

Of the points listed in the answer choices, only (3.4, 13.6) and (5.6, 22.4) are ones that are given in the table. This eliminates all of the answer choices except the correct one:

  A line that goes through (0, 0) and (3.4, 13.6).

The inequality in standard form that describes the situation is 24x + 7y ≥ 31

Total number of required serving of dessert = 31

Number of serving he will get in every batch of brownies = 24 servings

Number of serving he will get in every batch of pie = 7 serving

Consider the number batch of brownies = x

Number of batch of pie = y

The inequality is the mathematical statement that shows the relationship between two expression with an inequality sign. The inequality will be less than, less than or equal, greater than, greater than or equal.

Then the inequality will be

24x + 7y ≥ 31

Hence, the inequality in standard form that describes the situation is 24x + 7y ≥ 31

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The value of  the height of the water at  midday  is 14 feet.

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.

Similarly, we will determine the height at other times during the day, at midday . we have the value $t=3$, so using the formula, we have

[tex]H(3)=10+4 \sin \left(\frac{\pi}{6} \cdot 3\right)=10+4 \cdot \sin \frac{\pi}{2}[/tex]

Taking into account that

[tex]\sin \frac{\pi}{2}=1[/tex]

we get the following:

H=10+4 [tex]\cdot \sin \frac{\pi}{2}=10+4 \cdot 1=14[/tex]

Thus, the value of  the height of the water at  midday . is 14 feet.

The value of the height of the water at midday is 14 feet.

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.

Similarly, we will determine the height at other times during the day, at midday. we have the value[tex]$\$ \mathrm{t}=3 \$$[/tex], so using the formula, we have [tex]$H(3)=10+4 \sin \left(\frac{\pi}{6} \cdot 3\right)=10+4 \cdot \sin \frac{\pi}{2}$[/tex]Taking into account that

[tex]$\sin \frac{\pi}{2}=1$[/tex]

we get the following:

[tex]$\mathrm{H}=10+4 \cdot \sin \frac{\pi}{2}=10+4 \cdot 1=14$[/tex]

Thus, the value of the height of the water at midday . is 14 feet.

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The number of minutes required to screen-print a batch of shirts is,

y = 3x + 15

From the question, we have

each shirt takes 3 minutes to print.

In addition, there is an initial set-up time of 15 minutes.

number of minutes required to screen-print a batch of shirts,

y = 3x + 15

Addition:

Combining two or more things is what is meant by addition. The process of computing the sum of two or more numbers is known as adding in mathematics. It's a fundamental mathematical operation that's used all the time in real life. When handling money, determining our food budget, or calculating the passage of time, we frequently use addition. When dealing with larger numbers, however, we separate the numbers into columns according to their corresponding place values, such as ones, tens, hundreds, thousands, and so on. For straightforward addition problems, one-digit numbers can be added.

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Answer:

$610,498.30

Step-by-step explanation:

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

4% = 0.04

P = 500 000(1+0.04/12)^(12*5)

P = 500 000 (1.003333)^60

P = 500 000 (1.220997)

P = $610 498.296971

Answer: up and down line at -2

Step-by-step explanation: Desmos

The drag point point is shown on the graph.

What is drag point?

When a single point or the center of a circle is specified numerically, the point can be moved, and the mouse can be used to edit graphs (ex. translation of a parabola).

Consider, the given equation

[tex]g(x) = -\frac{5}{3} x-1[/tex]

We have to find the value of g(x) at x = 3.

So, plug x = 3 in the above equation.

[tex]g(3) = -\frac{5}{3}(3)-1\\ g(3)=-5-1\\g(3) = -6[/tex]

Therefore, the point is (3, -6).

We have to drag the point (3, -6) on the graph.

The drag point graph is attached below.

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Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.

Answer:

You insert 5 back into the equation

Step-by-step explanation:

17 +2.6b=30

17 +2.6(5)=30

17 +13=30

Answer:

ab + ac

Step-by-step explanation:

Given expression,

→ a(b + c)

Simplifying the expression,

→ a(b + c)

→ (a × b) + (a × c)

→ ab + ac

Hence, answer is ab + ac.

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Second graph is correctly shows the solution set for the inequality x >n

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Answer:

90 books

Step-by-step explanation:

B:C

3:7

X:210

210÷7=30

3*30=90

Answer:

Y=4 is a function

Step-by-step explanation:

And to me function is relation

Hope i got this right and have a great day :)

Answer: Yes

Step-by-step explanation:

Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.

The number of tiles that would be required to cover a floor that is 288 square feet is 512.

According to the question,

We have the following information:

Area of the tile = 9*9 square inches

Area of the tile = 81 square inches

Area of the floor = 288 square feet

So, we will convert the area of the floor from square feet to square inches.

We know that 1 feet = 12 inches.

So, we have the following expression:

Area of the floor = (288*12*12) square inches

Area of the floor = 41,472 square inches

Number of tiles required to cover the floor = area of the floor/area of the tile

Number of tiles required to cover the floor = 41,472/81

Number of tiles required to cover the floor = 512

Hence, the number of tiles that would be required to cover a floor that is 288 square feet is 512.

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The required equation of the line is given as y = -4/3x - 2/3.

Given that,
The equation of the line that is perpendicular to the line below and passes through the point (4,-6).

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
The slope of the given line = 3/4
So the slope of the perpendicular line = -4/3
Now,
The perpendicular line passes from (4, -6)
The standard form of the equation,
y - y₁ = m [ x - x₁]
Substitute the value in the above expression,
y + 6 = -4/3[x - 4]
y = -4/3x + 16/3 - 6
y = -4/3x - 2/3

Thus, The required equation of the line is given as y = -4/3x - 2/3.

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