What is the volume of the following triangular prism? (will give brainliest asap!)

Answer:

a the d

Step-by-step explanation:

and tbat is it bebejehehehejenene

Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:

m= (12 -4)÷ (9 -2)

Solving:

m= 8÷ 7= 8/7

Finally, the slope of the line is 8/7.

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Answer:

La M representa la pendiente de la recta y la b representa la intersección con el eje y

Step-by-step explanation:

Que tengas un excelente verano :)

Respuesta: En la ecuación y= mx + b, “m” representa la pendiente y “b” representa el y-intercept.

Espero que esto ayude, buena suerte! :D

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Yes, the two-sample z test is appropriate here. This test is used to compare the means of two independent groups and determine whether they are statistically different.

In this experiment, the two groups are the participants who received the drink with the artificial sweetener and the participants who received the drink without it. The test will determine if there is a significant difference in their blood glucose levels after consuming each drink. The fact that the same participants are measured on two different days is not an issue, as long as the order in which they receive the drinks is randomized to avoid any potential order effects. The z test requires certain assumptions to be met, such as normality and equal variances between the groups, so the researcher should check these assumptions before conducting the test. Overall, the two-sample z test is a suitable statistical method for analyzing the impact of the new artificial sweetener on blood glucose in this experiment.

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Answer:

the original selling price of the ski set was $460.

Step-by-step explanation:

If the original selling price of the ski set was reduced by 25% and then by an additional 5%, the total discount is 25% + 5% = 30%. To find the original selling price of the ski set, we need to divide the final sale price of $322 by the total discount, which gives us $322 / (1 - 0.30) = $322 / 0.70 = $<<322/(1-0.30)=460>>460.

Answer:

ITS C

Step-by-step explanation:

trust

The situation that is an example of an observational study is option C: Collecting the blood pressure readings of a group of elderly individuals in a small town. Option C

Observational studies are research studies where researchers observe and collect data on individuals or groups without intervening or manipulating any variables. The purpose is to observe and understand the relationship between variables naturally occurring in the population. In an observational study, researchers do not assign treatments or manipulate factors but simply observe and record data.

In option A, testing the effectiveness of a mouthwash by comparing a group that uses it with a group that doesn't, this is an example of an experimental study where researchers intervene by assigning treatments (using mouthwash or not) to the groups.

In option B, dividing a class into thirds and giving each third a different amount of time to read and then testing comprehension, this is also an example of an experimental study where researchers manipulate the independent variable (amount of time to read) and measure its effect on comprehension.

In option D, having customers fill out a questionnaire about their favorite brand of toothpaste, this is an example of a survey or questionnaire study where researchers collect self-reported data from participants.

Option C

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Note the complete question is:

Which situation is an example of an observational study?

O A. Testing the effectiveness of a mouthwash by allowing one group

to use it and comparing the results with those of a group that

doesn't use it

O B. Dividing a class into thirds, giving each third a different amount of

time to read, and then testing comprehension

O C. Collecting the blood pressure readings of a group of elderly

individuals in a small town

O D. Having customers fill out a questionnaire about their favorite

brand of toothpaste

Answer: D: Rectangular Pyramid

Step-by-step explanation:

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

Herein we must make use of trigonometric expressions and properties of trigonometric functions to find the right value. According to trigonometry, both cosine and sine are negative in the third quadrant. Thus, by using the fundamental trigonometric expression (sin² α + cos² α = 1) and substituting all known terms we find that:

\(\sin \theta = -\sqrt{1 - \cos^{2}\theta}\)

\(\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}\)

sin θ ≈ - √731 / 30

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

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The area of a triangle whose sides have lengths √70,√70,√and 28 is 10.45.

What is the area of the triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle =  (0.5)x b x h

Length of its base = b units

Its height = h units long,

Given;

The sides of the triangle √70,√70,√28

Now,

H²=70-28/4

H²=70-7

H=7.9

\(Area= b *\frac{ h}{2}\)

\(=\sqrt{28}\frac{7.9}{2}\)

=10.45

Therefore, the area of the triangle will be 10.45.

The complete question is-

What is the area of a triangle whose sides have length √{70},√{70}, and √{28} ?

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The solution to each of the algebraic expressions are;

1) 4x - 6

2) 3t - 7

3) m + 6

4) 10z + 4

5) 0

6) 8

7) -10c + 20

8) -4w + 4

9) -8y

10) 4u - 7

11) -g - 5

12) -12h - 12

13) 21v + 11

14) -14I

We will solve the algebraic expressions by opening the bracket and collecting like terms to get;

1) (-12x - 8) - (8x + 2)

Opening the brackets gives;

12x - 8x - 8 - 2

= 4x - 6

2) (7t - 3) - (4t + 4)

Opening the brackets gives;
3t - 7

3) (8m + 7) - (7m - 1)

Opening the brackets gives;

(36j - 5) - (-6j + 5)

m + 6

4) (13z - 1) - (3z - 5)

Opening the brackets gives;

10z + 4

5) (-2s + 9) - (-2s + 9)

Opening the brackets gives;

0

6) (4b + 4) - (-4b - 4)

Opening the brackets gives;

4 + 4 = 8

7) (-8c + 15) - (2c + 5)

Opening the brackets gives;

-10c + 20

8) (0w + 7) - (4w + 3)

Opening the brackets gives;

-4w + 4

9) (y - 3) - (9y - 3)

Opening the brackets gives;

-8y

10) (-u - 4) - (5u + 3)

Opening the brackets gives;

4u - 7

11) (6g + 2) - (7g + 7)

Opening the brackets gives;

-g - 5

12) (-9h - 9) - (3h + 3)

-12h - 12

13) (17v + 4) - (-4v - 7)

Opening the brackets gives;

21v + 11

14) (-9l + 9) - (5l - 9)

Opening the brackets gives;

-14I

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Answer:

3,000 feet

A calculator will help you get the answer that you need.

The probability density function for a normal distribution N(68, 5) reaches its maximum height at x = 68, which is the mean of the distribution. The function does not touch the x-axis at μ±30.

The probability density function (PDF) for a normal distribution is bell-shaped and symmetrical around its mean. In this case, the mean (μ) is 68, and the standard deviation (σ) is 5.

(a) To find the x value at which the PDF reaches a maximum, we look at the mean of the distribution, which is 68. The PDF is highest at the mean, and as we move away from the mean in either direction, the height of the PDF decreases. Therefore, the x value at which f(x) reaches a maximum is x = 68.

(b) The PDF of a normal distribution does not touch the x-axis at μ±30. The x-axis represents the values of x, and the PDF represents the likelihood of those values occurring. In a normal distribution, the PDF is continuous and never touches the x-axis. However, the PDF becomes close to zero as the values move further away from the mean. Therefore, the probability of obtaining values μ±30, which are 38 and 98 in this case, is very low but not zero. So, the PDF does not touch the x-axis at μ±30, but the probability of obtaining values in that range is extremely small.

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The conditional "If there is no rain, then there is no rainbow" is equivalent to "Rain is a necessary condition for a rainbow."

The statement "Rain is a necessary condition for a rainbow" implies that if there is no rain, then there will be no rainbow. This is captured by the conditional "If there is no rain, then there is no rainbow." If the necessary condition of rain is not met, it follows that a rainbow cannot occur.

On the other hand, the remaining conditionals are not equivalent to the statement "Rain is a necessary condition for a rainbow."

The conditional "If there is no rainbow, then there is no rain" is the inverse of the original statement. It suggests that if there is no rainbow, it implies there is no rain. While it is true that rain is often associated with rainbows, the absence of a rainbow does not necessarily mean there is no rain. Therefore, the inverse is not equivalent.

The conditional "If there is a rainbow, then there is rain" is the converse of the original statement. It states that if there is a rainbow, it implies there is rain. While this is often the case, it does not capture the necessary condition aspect of the original statement. There can be other factors that contribute to the formation of a rainbow, such as water droplets in the atmosphere, without the presence of rain. Therefore, the converse is not equivalent.

The conditional "If there is rain, then there is a rainbow" is the contrapositive of the original statement. It suggests that if there is rain, it implies there is a rainbow. While rain is indeed a common condition for the formation of rainbows, it does not capture the necessary condition aspect of the original statement. There can be rain without the occurrence of a rainbow, such as in light drizzles or heavy downpours without sunlight. Therefore, the contrapositive is not equivalent.

In summary, the only conditional that is equivalent to "Rain is a necessary condition for a rainbow" is "If there is no rain, then there is no rainbow."

#Select which one(s) of the following conditionals are equivalent to Rain is a necessary condition for a rainbow. If there is no rainbow, then there is no rain If there is no rain, then there is no rainbow. If there is a rainbow, then there is rain If there is rain, then there is a rainbow.

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To combine 16 different channels using Time Division Multiplexing (TDM), we can divide the available time slots into four groups, with each group containing four channels.

Time Division Multiplexing is a technique used to transmit multiple signals over a single communication link by dividing the available time slots. In this scenario, we have 16 different channels that need to be combined. To accomplish this using TDM, we can divide the available time slots into four groups, with each group containing four channels.

In each time slot, a sample from each channel in the group is transmitted sequentially. This process continues in a round-robin fashion, cycling through each group of channels. By doing so, all 16 channels can be accommodated within the available time frame.

The TDM technique allows for efficient utilization of the communication link by sharing the available bandwidth among multiple channels. It ensures that each channel gets its allocated time slot for transmission, thereby preventing interference or overlap between channels. This method is commonly used in various communication systems, such as telephony, to multiplex multiple voice or data streams over a single line.

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Answer:

  a. 72°

  b. side DF

Step-by-step explanation:

The base angles of an isosceles triangle are congruent and equal to the complement of half the a.pex angle. The shortest side of the triangle is opposite the smallest angle.

∠F = 90° -(36°/2) = 72°

__

The smallest angle is 36°. The side opposite that angle is side DF.

_____

Additional comment

The relation we used to find the base angle is based on the fact that the sum of angles in a triangle is 180°. For angle F, with D = F, we have ...

  D +F +36° = 180°

  2F = 180° -36° . . . . . . substitute D = F, and subtract 36°

  F = 90° -(36°/2) . . . . . divide by 2

Answer:

13

hope this helps you

Answer:

3 and 18

Step-by-step explanation:

let x be the first number

let 6x be the second number

x + 6x = 21

7x=21

x=21/7

x=3

second number =6x

second number 6x3= 21

The linear approximation for the change in the predicted probability per degree increase in temperature is approximately 0.003.

Linear approximation is an estimation method that approximates a function by a linear function. Linear approximation is also known as the tangent line approximation method.

This method is useful for finding out the approximate value of the function at a point near the given point. The linear approximation of the change in predicted probability per degree increase in temperature can be found using the formula given below: Linear Approximation Formula: Linear approximation formula is given by the following equation: f(x) ≈ f(a) + f′(a)(x − a)Where f(x) is the function, f(a) is the value of the function at the point x=a, f′(a) is the first derivative of the function at x=a, and x is the point near the point a that we want to find the approximation.

Let us apply the linear approximation formula to find the linear approximation for the change in the predicted probability per degree increase in temperature.

Let f(t) be the function that gives the predicted probability of a particular event at a temperature t. Suppose that at a temperature of 100 °F, the predicted probability is 0.8. Let f′(t) be the first derivative of the function f(t).

We need to find the linear approximation of the change in predicted probability per degree increase in temperature when the temperature is 100 °F. We can use the following steps to find the linear approximation.

Step 1: Find the value of f(100)f(100) = 0.8This means that when the temperature is 100 °F, the predicted probability is 0.8.

Step 2: Find the value of f′(100)f′(100) = df/dt = 0.003 This means that the rate of change of predicted probability with respect to temperature at 100 °F is 0.003 per degree.

Step 3: Use the linear approximation formula to find the linear approximation of the change in predicted probability per degree increase in temperature. The linear approximation formula is given by: f(x) ≈ f(a) + f′(a)(x − a)Substitute a=100, f(100)=0.8, f′(100)=0.003, and x=101 into the formula. f(101) ≈ f(100) + f′(100)(101 − 100)f(101) ≈ 0.8 + 0.003(1)f(101) ≈ 0.803

This means that the predicted probability of the particular event when the temperature is 101 °F is approximately 0.803.

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a. An exponential growth rate equation to represent the cost C₁ of this home is \(C_1 = 250000e^{0.038t}\).

b. An exponential growth rate equation to represent the cost C₂ of this home is \(C_2 = 275000e^{0.022t}\).

c. The time in which each home would reach a price of $320,000 is 6.5 and 6.8 years respectively.

d. The price of the home in the first area is lower.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(A(t) = P_{0}e^{rt}\)

Where:

Part a.

Based on an exponential growth rate of 3.8% in the first area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 250000e^{0.038t}\)

Part b.

Based on an exponential growth rate of 2.2% in the second area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 275000e^{0.022t}\)

Part c.

At a price of $320,000 for the home, the number of years to reach this price is given by:

\(C_1 = 250000e^{0.038t}\\\\320000 = 250000e^{0.038t}\\\\1.28= e^{0.038t}\)

ln(1.28) = 0.038t

Time, t = 0.24686007793/0.038

Time, t = 6.49 ≈ 6.5 years.

\(C_2 = 275000e^{0.038t}\\\\320000 = 275000e^{0.022t}\\\\1.16= e^{0.022t}\)

ln(1.16) = 0.022t

Time, t = 0.14842000511/0.022

Time, t = 6.75 ≈ 6.8 years.

Part d.

The house with the lower price can be determined as follows;

\(C_1 = 250000e^{0.038 t}\\\\C_1 = 250000e^{0.038\times 3}\)

C₁ = 250,000 × 1.12075212488

C₁ = $280188.03122

\(C_2 = 275000e^{0.038t}\\\\C_2 = 275000e^{0.022 \times 3}\)

C₂ = $293762.347221.

In conclusion, the home in the first area is cheaper.

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Step-by-step explanation:

your text misses some parts.

so, there is no clear way to tell you the correct answer option. but there are some indications what is more likely your teacher wants to see as an answer, when we look at the individual options.

x² + 16x + 64 = 800

is the same as

(x + 8)² = 800

and then

x + 8 = sqrt(800) = 28.28427125...

x = 20.28427125...

not a nice number, but yes, a possible solution.

x² + 8x + 16 = 800

is the same as

(x + 4)² = 800

x + 4 = sqrt(800) = 28.28427125...

x = 24.28427125...

again, not a nice number, but yes, a possible solution.

I ignore "none of the choices are correct". again you did not provide enough information to make that call, as we have already 2 possibly valid solutions.

x² + 16 = 800

x² = 784

x = sqrt(784) = 28

that is a "nice" number and a possible solution.

I would therefore bet on this answer, although, as mentioned, it is not clear what we actually try to find out.

The value of LOM is 43°.

To find the value of LOM, we need to equate the angles LOM and MON and solve for x. Given that LOM = 3x + 38° and MON = 9x + 28°, we have:

LOM = MON

3x + 38° = 9x + 28

Next, we can solve the equation for x:

3x - 9x = 28° - 38°

-6x = -10°

x = -10° / -6

x = 5/3

Now that we have the value of x, we can substitute it back into the equation for LOM to find its value:

LOM = 3x + 38°

LOM = 3(5/3) + 38°

LOM = 5 + 38°

LOM = 43°

Therefore, the value of LOM is 43°.

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frist you multiply 1.6 with -4.2

Answer:

D: x = 5/ 2 + h

Step-by-step explanation:

-hx + 4 = 2x -1

First step: get the x's to one side and the integers to the other side.

-hx - 2x = -5

Second step: Take out a factor of x

x(-h - 2) = -5

Third step: seperate x from the rest of the equation by dividing

x = -5/-h - 2

Fourth step: take out that -1 from both numerator and denominator, cancelling the -1's out.

x = 5/h+2

Answer:

B. MN, NO, OM

Step-by-step explanation:

Recall: In any triangle, the sides and the angles are related in the following way:

*The largest angle and the longest side are opposite each other

*The medium angle and the mid-sized side are opposite each other

*The smallest angle and the shortest side are opposite each other

In ∆MNO, we are given that

m<M = 57° which is opposite to side NO

m<N = 75° which is opposite to side OM

m<O = 180° - (75° + 57°) (sum of triangle)

m<O = 48° which is opposite to side MN

Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:

MN, NO, OM

IJ

How?

In triangle GHJ <H is right angle

Now

in triangle HIJ

IJ is the hypotenuse

So option A is correct

The corresponding segment for GJ in triangle GHJ in similar triangle HIJ is,  'JI'.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

⇒ Δ GHJ ≈ Δ HIJ

By the figure, we have;

In ΔGHJ, Side GJ is opposite side of the right angle.

And, In Δ JHI, Side JI is opposite side of the right angle.

Hence, The side JI in Δ JHI is corresponding segment in similar triangle GHJ.

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Therefore, the correct option is (d) $270.48, which represents your take-home pay after deducting the specified taxes from your earnings.

To calculate the take-home pay, we need to subtract the total amount of taxes from the earnings.

In this case, the earnings are $420 per week.

The social security tax is 7.65% of the earnings. Therefore, the amount deducted for social security tax is:

Social security tax = 7.65% * $420 = $32.13

The federal tax is 22% of the earnings. So, the amount deducted for federal tax is:

Federal tax = 22% * $420 = $92.40

The state tax is 5.95% of the earnings. Hence, the amount deducted for state tax is:

State tax = 5.95% * $420 = $24.99

To calculate the take-home pay, we subtract the total taxes from the earnings:

Take-home pay = $420 - ($32.13 + $92.40 + $24.99) = $270.48

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