If the graph of the function y=h(x) contains the point (5,-4) then which of the following must be true
A.) h(-4)=5
B.) h(5)=-4
C.) Tue graph of y=h(x) must be a straight line
D.) h(x)=5 for every real number x

Answer:

32 degrees

Step-by-step explanation:

Recall the three main trig functions: sine, cosine, and tangent.

When using sine, we divide the opposite side from the angle by the hypothenuse.

When using cosine, we divide the adjacent side of the angle by the hypothenuse.

When using tangent, we divide the opposite side from the angle by the adjacent side to the angle.

Since we are given the opposite and adjacent sides, we'll use tangent.

We set up the equation like normal:

tan x \(= \frac{13}{21}\)

Now, when finding the angle measurement using trig, we must use the opposing trig function, arcsine, arccosine, and arctangent. The opposing trig function is arctangent. We have to move arctangent to the other side, so that it can be used with the fraction, so:

\(x = arctan(\frac{13}{21} )\)

(You would also write arctan, as tan with an exponent of -1) Now, just punch the right side of the equation into a calculator. The nearest degree is 32.

Therefore, the answer is 32 degrees. If you got something different, make sure your calculator is in degrees, not radians! (They are usually abbreviated as DEG and RAD.)

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution fall and are also referred to as the central location of a distribution.

The answer is central because measures of central tendency, such as mean, median, and mode, are the values that summarize the center of a distribution of data. They provide a single value around which the data tend to cluster, making them useful for describing the overall characteristics of a dataset. The mean is the arithmetic average of a set of values, while the median is the middle value when the data are ordered, and the mode is the most frequently occurring value in the dataset. All of these measures provide a central or typical value for the data.

~~~Harsha~~~

Answer:

$10t=m

Step-by-step explanation:

If for each hour is $10.

She would earn the number of  hours times $10.

Example: She did babysitting for 4 hours this weekend. The equation is $10(4)=m or $10 x 4 = m.  m=40

The maximum distance before its motion will be 0.1552x.

Why Maximum distance will be 0.1552x?

Given data:

Weight of block A, W₁ = 12-lb

Weight of block B and C,

W₂ = W₃ = 15-lb

Let us assume that the maximum distance A will fall before its motion is momentarily stopped is h.

Let us apply the work-energy principle.

W₁gh = 2(W₂ + W₃) × x

where x is the distance moved by weights B and C.

Since the pulleys and the cord are weightless, therefore there is no loss in energy due to these factors. So, all the potential energy of block A is converted to the kinetic energy of the three bodies.

∴ W₁gh = 2(W₂ + W₃) × x 12 × 32.2 × h

= 2(15 + 15) × x386.4h = 60x

= h = 60x/386.4 ⇒ h = 0.1552x

Thus, the maximum distance A will fall before its motion is momentarily stopped is 0.1552x.

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To solve the equation -2.5(e + 17.4) = -50, we can use algebraic techniques to isolate the variable e on one side of the equation.

First, we can simplify the left-hand side of the equation by distributing the -2.5 to the expression inside the parentheses:

-2.5e - 2.5(17.4) = -50

Next, we can simplify the expression on the left-hand side by multiplying:

-2.5e - 43.5 = -50

To isolate the variable e, we can add 43.5 to both sides of the equation:

-2.5e = -6.5

Finally, we can solve for e by dividing both sides of the equation by -2.5:

e = 2.6

Therefore, the solution to the equation -2.5(e + 17.4) = -50 is e = 2.6.

Answer:

When the probability of something happening is 4/4, it means that the probability of that thing happening is 1

When the probability of an event happening is 1, it means that that the event is going to happen and there is no chance of the event not happening.

Answer:

1.11

Step-by-step explanation:

Slope of a line = (y2 - y1)/(x2-x1) = (100 - 0)/(90-0) = 100/90 = 10/9 = 1.11

The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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Increasing the confidence level would also increase the margin of error

Increasing the sample size would reduce the margin of error and provide a more accurate estimate of the mean number of pepperonis on a large pizza. However, it would also be more time-consuming and expensive to collect data from a larger sample.

Increasing the confidence level would also increase the margin of error, but it would provide a wider range of values for the mean number of pepperonis. This would reduce the precision of the estimate, making it less informative.

Another potential drawback of increasing the confidence level is that it may lead to a larger sample size requirement, which could be more difficult to achieve. Additionally, a higher confidence level may not be necessary or practical in all situations, and it could lead to unnecessary costs and resources being spent on data collection.

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The distance travelled per second (i.e speed) of the light is 3×10⁸ m/s

Distance travelled per second is known as speed. It can be expressed as:

Speed = distance / time

With the above formula, we can obtain the distance traveled per second of the light, Details below

From the question given, the following were obtained:

Speed = distance / time

Distance per second = 9.45×10¹⁵ / 3.15×10⁷

Distance per second = 3×10⁸ m/s

From the calculation made above, we can conclude that the distance per second is 3×10⁸ m/s

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To solve the equation 7x, we need to clarify the specific goal or condition. If we are looking for the value of x that makes the equation equal to a specific number, such as 0, the solution would be x = 0. However, if we are solving for x in terms of another variable or in an equation with more components, further information is needed to provide a meaningful answer.

The equation 7x represents a linear equation in one variable, where 7 is the coefficient of x. If we are solving for x in an equation of this form, we need an additional equation or condition to determine a unique solution. Without any further information or constraints, the equation 7x does not have a specific solution.

To provide a more comprehensive explanation, let's consider an example. Suppose we have the equation 7x = 21. To solve for x, we divide both sides of the equation by 7:

7x/7 = 21/7

x = 3

In this case, the value of x that satisfies the equation 7x = 21 is x = 3. We can substitute this value back into the equation to verify its correctness:

7(3) = 21

21 = 21

The equation holds true, confirming that x = 3 is the solution. However, without a specific condition or another equation to work with, the equation 7x on its own does not have a unique solution.

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Answer:

2

Step-by-step explanation:

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

the rate of change is 2

Step-by-step explanation:

first solve the equation for x=-2 and x=4

(-2^2)-2=4-2=2

(4^2)-2=16-2=14

so when x=-2 the coordinate is (-2,2) and when x=4 the coordinate is (4,14)

now use the average rate of change formula:

(14-2)/(4-(-2))=12/6=2, so the rate of change is 2

Step-by-step explanation:

LCM of 16 and 22 is 176.

Let the CP of 16 oranges be Rs. 176 and also let the SP of 22 oranges be Rs. 176.

So,

➝ CP of 16 oranges = Rs. 176

➝ CP of 1 orange = Rs. 176 ÷ 16

➝ CP of 1 orange = Rs. 11

And,

➝ SP of 22 oranges = Rs. 176

➝ SP of 1 orange = Rs. 176 ÷ 22

➝ SP of 1 orange = Rs. 8

______________

Here, CP is greater than SP. So, here is loss.

➝ Loss = CP ― SP

➝ Loss = Rs.(11 ― 8)

➝ Loss = Rs. 3

______________

Finding the loss%,

★ Loss % = {(Loss/CP) × 100} %

➝ Loss % = {3/11 × 100} %

➝ Loss % = 27.27 %

Therefore, loss% is 27.27%.

Answer:

67-90>79+0=9078

Step-by-step explanation:

Answer:

a=175

r=2.8%

h(5)=200.9

Step-by-step explanation:

In the equation the initial amount will always be the one that comes before the parentheses and the rate is just the decimal as a percent.

From the given set of statements, the conjecture which represent the inductive reasoning are given by :

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

As given in the question,

Inductive reasoning is the conclusion which is based on the process of observed pattern.

Given set of statements represents the inductive reasoning or not:

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

From observing pattern based on Friday dressing we conclude all Fridays are casual days.

Represent inductive reasoning.

b. Given : 3a² = 48

Conjecture : a = 6

Here we cannot observe the process , we have to show the calculation.

Not representing inductive reasoning.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

From observing pattern based on property of rectangle it is concluded that WX = YZ and WZ = XY.

Represent inductive reasoning.

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

From observing pattern based on all donuts property it is concluded that   chocolate donuts is also unhealthy.

Represent inductive reasoning.

Therefore, from the given set of statements, the conjecture which represent the inductive reasoning are given by :

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

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Answer : tanθ = sqrt(1 - (910)²) / 910

Given:  that the terminal side of angle θ intersects the unit circle in the first quadrant at (910, y), we can find the value of tanθ using the coordinates.

Explanation:
   Recall that on the unit circle, tanθ = y/x. In this case, x = 910 and y is the unknown value. However, since we are in               the first quadrant, both x and y will be positive.

To find y, we can use the Pythagorean theorem for the unit circle: x² + y² = 1.

Substitute x = 910:
(910)² + y² = 1
y² = 1 - (910)²

Now, since y is positive in the first quadrant, we take the positive square root:
y = sqrt(1 - (910)²)

Finally, find tanθ = y/x:
tanθ = sqrt(1 - (910)²) / 910

Answer:

1cm = 320 km?

Step-by-step explanation:

Answer:

\(3.2km\)

Step-by-step explanation:

\(1 \: : 320000 \\ 1cm = 320000cm\)

\(1cm = 100m \\ \)

\(1cm = 320000cm \\ 1cm = 3200m\)

\(1km \: \: = 1000m\)

\(1cm = 3200m \\ 1cm = 3.2km\)

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The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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If the trend had continued unchecked, the number of people which would have died from AIDS in 2007 will be: 339,448,671 people.

Exponential growth is the process by which quantity increases over time. It happens when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself. A quantity undergoing exponential growth is an exponential function of time, which means that the variable representing time is the exponent (in contrast to other types of growth, such as quadratic growth).

The basic exponential growth function is: f(t) = a·bt

f (t) = number of cases at year t

a = starting value = 1000 in 1983

b = growth factor = 1.7

t = years since 1983 = 2007 - 1983 = 24

f(t) = 1000·(1.7)^24

f(t) = 339448671.315

f(t) = 339,448,671

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Answer:

Yes

Step-by-step explanation:

So I assume the question is asking if the lines AC and DF are parallel and they are because if you graphed it out you would see the lines would never touch (Basically what a parellel line is).

A benchmark fraction is a commonly used fraction that is easy to remember and can be used to estimate the value of other fractions or percentages. The most commonly used benchmark fractions are 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, and 1/10.

To use a benchmark fraction to tell if a percent is reasonable, you can first convert the percent to a fraction by dividing it by 100. Then, you can compare this fraction to the benchmark fractions to see which one it is closest to.

For example, if you wanted to estimate whether 75% is a reasonable amount, you could first convert it to a fraction by dividing 75 by 100, which gives you 0.75. Then, you could compare this fraction to the benchmark fractions to see which one it is closest to. 0.75 is closest to 3/4, which is one of the benchmark fractions. This suggests that 75% is a reasonable amount, since it is close to 3/4.

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.

Answer: 33.3_

Step-by-step explanation:

400 divided by 56 equals 17.14_ and 17.4_ multiplied by 14 equals 100 and divided by 3 is equal to 33.3_

Answer: 0.0425

Step-by-step explanation:

PEMDAS

1. 56x14

2. 400/784

3. 0.1275/3

4. 0.0425

Answer:

Family 1: 2x + 3y = 30

Family 2: 3x + 4y = 40

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

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Answer:

Step-by-step explanation:

perimeter of a rectangle P= 2(L+W)

L= length

W= width

48=2(L+W)---------------(1)

twice the length= 2×L= 3L

decreased by three= 2L-3

three times the width= 3×W= 3W

twice the length decreased by three is equal to three times the width

2L-3= 3W-------------------(2)

solving equation one and two simultaneously

from equation (2)

3W= 2L-3

W=2L/3-3/3

W= 2L/3 - 1----------(3)

substitute equation (3) into equation (1)

48=2(L+2L/3-1)

48=2L+4L/3-2

48×3=6L+4L-6

144=10L-6

10L=144+6

10L=150

dividing bothsides by 10

L= 15

substitute L= 15 into equation (2)

2L-3=3W

2(15)-3=3W

30-3 = 3W

27= 3W

3W= 27

dividing bothsides sides 3

3W=27/3

W=9

Answer:

4:3

Step-by-step explanation:

1m = 100cm

75cm = 75cm

ratio of 1m:75cm

(100cm:75cm)÷25 = 4:3

so 1m:75cm = 4:3

Answer:

Step-by-step explanation:

(7m - 2) the two would instantly become a negative so the answer would be 7m + -2.

same goes for (9m - 5) the five will become a negative and the answer would be 9m + -5.

Same also goes for (6n - 1) the one would become a negative so the answer would be 6n + -1. Your welcome!!!!!!!!!