Select the correct answer.


given a prism with a right triangle base and the dimensions and what is a correct expression for the volume of the prism?

Answer:

see below

Step-by-step explanation:

A. reflection across the Y-axis (all the points are the same distance from their corresponding point)

B. BC and KL, CD, and LM; when the points are reflected those are the line segments they create.

C. BCD and KLM; same as above

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, quadrilateral, rhombus, parallelogram, circle, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.

In this scenario, we can reasonably infer that to divide the triangles into these regions, you should construct the perpendicular bisector of each segment. These perpendicular bisectors intersect and divide each triangle into three regions. Hence, the points in each region are those closest to the vertex in that region.

Read more on perpendicular bisectors here: https://brainly.com/question/28250738

#SPJ1

Answer:

  48 = 2⁴ · 3

Step-by-step explanation:

You want the prime factorization of 48.

You recognize that 48 is an even number, so you can divide by 2 and see what's left. You can keep doing that until you get a number divisible by another prime:

  48/2 = 24

  24/2 = 12

  12/2 = 6

  6/2 = 3

3 is prime.

The prime factorization of 48 is ...

  48 = 2⁴ · 3

Answer:

Step-by-step explanation:

Find the value of x if the perimeter is 20

20 = X + 4X - 6 + X + 8

20 + 6 - 8 = 6X

18 = 6X

x = 18 : 6

x = 3

-----------------

check

20 = 3 + 3 * 4 - 6 + 3 + 8

20 = 20

the answer is good

Answer:

Value of x is 3

Step-by-step explanation:

Given perimeter of figure = 20

x + (x+8) + (4x-6) = 20

x + x + 8 + 4x - 6 = 20

6x + 2 = 20

6x = 20 - 2

6x = 18

x = 18 / 6

x = 3

The scatterplot is the correct answer.

A scatter plot uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

The dots in a scatter plot not only report the values of individual data points but also patterns when the data are taken as a whole.

Identification of correlational relationships is common with scatter plots. In these cases, we want to know, if we were given a particular horizontal value, what a good prediction would be for the vertical value.

For more information on scatterplots click on the link below:

https://brainly.com/question/6592115

#SPJ4

Answer:

x=67

Step-by-step explanation:

The correct statement is,

(B) f(x) has a greater maximum value than g(x).

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function f (x) is,

f (x) = - 8x² + 7

Now, First, we determine the maximum point of f(x).

f(x) is at maximum at the point of symmetry, i.e. where x = - b/a

Here, a = -8, b = 0

Hence, x = - 0 / - 8 = 0

So, We get;

f (0) = - 8 x 0 + 7 = 7

Thus,

The maximum point of f(x) is (0,7)

And, The maximum point of g(x) is (2,6)

Therefore, f(x) has a greater maximum value than g(x).

Hence3, The correct option is B.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

Hope this helps

fist add three to both sides

then subtract 4x from both sides

then divide both side with the same factor

Answer:

Step-by-step explanation: 0

Answer:

0

Step-by-step explanation:

no explanation needed

Answer:

2020

Step-by-step explanation:

20 + 2000 = 2020

Answer:

The answer to your problem is, 2020

Step-by-step explanation:

First lets break down the problem:

One way that I do it is by breaking the biggest number in HALF

1000 | 1000.

Then adding what is supposed to be added in this case 20, to one of the halfs, which is 1000

20 + 1000=

1020, then adding the other half:

1020 + 1000 =

2020.

Thus the answer to your problem is, 2020

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

She should of used quotient rule since the beginning but if not its step 2

Step-by-step explanation:

Answer:

7/9 * 27/5 = 189/45= (reduced) 4 1/5

7/4 *25/6 = 175/24 (reduced) = 7 7/24

Step-by-step explanation:

for the first turn 5 2/5 into improper fraction  5*5=25 + 2 = 27/5

multiply numerator 7*27= 189

9*5=45 189/45 can be reduced

divide both by 9 = 21/5 then make imxed number 4 and 1/5

Answer:

a) 21/5

b) 175/24

Step-by-step explanation:

a) 7/9 x 5 2/5 = 7/9 x 27/5

7/9 x 27/5 = 189/45 = 21/5 (if you wanted it shortened)

b) 1 3/4 x 4 1/6 = 7/4 x 25/6

7/4 x 25/6 = 175/24

Answer:

===========

Note:

Other sides are 2 and 11. This is not a correct question as sum of two smaller sides (2 + 6) is less than the longest one (11), hence there is no such possible triangle.

Answer:

The vertex of the quadratic is (0, 3).

Step-by-step explanation:

Since the parabola is facing down, then it means that its vertex is the highest point. If you look at the graph, the highest point is given by (0, 3), which is the vertex (h, k).

\( \gray{ \overbrace{ \underbrace \bold { \mathfrak{ \purple{an} \pink{sw} \blue{er} } } }}\)

\( \green{ \boxed{ \mathfrak{vertex \: of \: the \: given \: quadratic = \red{(0, \: 3) } } } }\)

The equations are e = 18+12t and a = 45+9t

Adrian will be father along in the book after 4 days. She will be 15 pages ahead of Ethan

Ethan's page number at the beginning of the month = 18

Adrian's page number at the beginning of the month = 45

Pages read by Ethan each day = 12 pages

Pages read by Adrian each day = 9 pages

Let e represent the page of the book that Ethan is on at the end of t days into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.

Formulating the equation we get the following:

e = 18 + 12t

a = 45 + 9t

Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:

e = 18+12(4)

e = 66

a = 45 + 9(4)

a = 81

Learn more about linear equations:

https://brainly.com/question/13738061

#SPJ1

Based on the results of the survey, the sport that was most popular was A. Football.

Out of 100 seventh-graders that were surveyed, 39 students preferred football.

This made it the most popular sport in the school and it is followed by Basketball which was preferred by 30 students.

The rest of the question is:

Football - 39

Baseball - 28

Basketball - 30

Volleyball and Hockey - 3

Find out more on creating surveys at https://brainly.com/question/16719289.

#SPJ1

Answer:

Basketball

Step-by-step explanation:

Radius = 14 : 2 = 7 in.

Area = 7 x 7 x 3.14 = 153.86 (in2)

Answer:

153.86 in²

Step-by-step explanation:

Before finding the area of the circle, first, let us find the radius.

14 = 2r

Divide both sides by 2.

7 in = r

And now let us find the area of the circle.

        = 3.14 × 7 × 7

        =  21.98 × 7

        =  153.86 in²

Answer:

a) x: 0,1,2,3,4,5,6,7,8

y: 0,8,16,24,32,48,56,64

b) label the horizontal line number of yards. The vertical line is costs, label each unit in 8s.

c) constant of porportionality is 8

d) y=8x

Answer:

yon ose

Step-by-step explanation:

Answer:

Step-by-step explanation: its number 3

The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

More can be learned about exponential functions and logarithms at https://brainly.com/question/25537936

#SPJ1

There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

To know more about distinguishable and indistinguishable:

https://brainly.com/question/28353849

#SPJ4

Answer:

x^(2)-4x-19=0

Step-by-step explanation:

trust me

The formula g(x)=-4+(x-3)²The parent function, f(x) = x², is translated both vertically and horizontally into 2, or 2. In more precise terms, it moves the graph 3 units to the right and 4 units downward while keeping the parabola's opening's shape and direction.

The difference between how an object is described in two distinct coordinate charts that overlap, where the description of the same set may alter in different coordinates, is referred to as a transition function. Even in Euclidean space, this can be seen because any rotation of the standard,, and axes results in a different set of coordinates.

A quadratic function is one that has the formula f(x)=ax²+bx+c, where a, b, and c are real integers, and an is a positive integer. The conventional form of a quadratic function is this form. The quadratic function's graph is a U-shaped curve known as a parabola.

according to questions,

To see this, we can compare the graph of g(x) to the graph of f(x):

The vertex of f(x) is at (0,0), while the vertex of g(x) is at (3,-4). This means that the graph of g(x) has been shifted 3 units to the right and 4 units down from the graph of f(x).

The shape of the graph is still a parabola, but it is narrower than the graph of f(x) because of the squared term. However, the direction of the opening of the parabola is the same as in f(x), which is upwards.

The axis of symmetry is still the vertical line x = 0, since this is the line that bisects the parabola. However, the y-intercept has changed to y = -4, since the graph has been shifted down by 4 units.

To know more about parabola visit:

https://brainly.com/question/31142122

#SPJ1

This is not the question, the correct question is:

A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores.

Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

Answer:  The numerical limits for grade B is 81 and 92

Step-by-step explanation:

Given that

mean Ж = 79

Standard deviation S = 8.4

B: Scores below the top 6% and above the bottom 59%

To find the numerical value for Grade B

Below the top bottom 6% ( 0.06) is

p ( X < Ж ) = 1 - 0.06

p ( X < Ж ) = 0.94

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.94

(X - 79) / 8.4 = 1.5548 ( from normal distribution table )

X - 79 = 13.0603

X = 13.0603 + 79

X = 92.06 ≈ 92 ( nearest whole number)

Above bottom 59% ( 0.59) is

p ( X < Ж ) = 0.59

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.59

(X - 79) / 8.4 = 0.2275 ( from normal distribution table )

X - 79 = 1.9114

X = 1.9114 + 79

X = 80.91 ≈ 81 ( nearest whole number)

So the numerical limits for grade B is 81 and 92

Answer:

(x+7)(x+6)

Step-by-step explanation:

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+6)(x+7)

Answer:

a) (x+7) (x+6)

Step-by-step explanation:

That is the correct answer because you get it when you factor the current equation.

Hope it helps

Given the right triangle ΔJKI

We know JI=9 and ∠IJK=63º