What is the area of a triangle with a base of 5 units and a height of 15 units?

A. 75 sq. units

B. 37.5 sq. units

C. 18.75 sq. units

D. 150 sq. units

Answers

Answer 1

Answer:

B. 37.5 sq. units

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the length of the base and  h is the height

A = 1/2 (5 * 15)

A =37.5 units^2

Answer 2

Answer:375 units

Hope this helps


Related Questions

please helpppppp me

Answers

Answer:

B. [tex] 4 \times 10^{12} [/tex]

Step-by-step explanation:

[tex] (6 \times 10^{8}) \div (1.5 \times 10^{-4}) = [/tex]

[tex] = \dfrac{6 \times 10^{8}}{1.5 \times 10^{-4}} [/tex]

[tex] = \dfrac{6}{1.5} \times \dfrac{10^{8}}{10^{-4}} [/tex]

[tex] = 4 \times 10^{8 - (-4)} [/tex]

[tex] = 4 \times 10^{12} [/tex]

Which of the following is the scaling factor a of the function f(x) = 3|x|?
•-1
•-3
• 1
• 3

Answers

Answer:

Last option: 3

Step-by-step explanation:

The following are some transformations for a function f(x):

1) If [tex]a(fx)[/tex] and [tex]|a|>1[/tex], then this function is stretched vertically by a factor of "a".

2) If [tex]a(fx)[/tex] and [tex]0<|a|<1[/tex], then this function is compressed vertically by a factor of "a".

Therefore, given the function [tex]f(x) = 3|x|[/tex], we can observe that the factor "a" is:

[tex]a=3[/tex]

Then:

[tex]a>1[/tex]

This means that  then this function is stretched vertically by a factor of 3.

Therefore, the scaling factor is 3.

in order to graph a linear equation in slope-interceot form, what do you need to know? what does the equation look like when the y-intercept of the line is equal to 0? what does the equation look like when it also has a slope equal to 1?

Answers

Answer:

(a) Slope and y-intercept; (b) y = mx; (c) y = x + b

Step-by-step explanation:

1. Need to know

Slope and y-intercept.

You use these numbers to calculate one other point. Then you draw a straight line between the y-intercept and the other point to get the graph.

2. y-Intercept = 0

The form of the equation is y = mx + b, where b is the y-intercept.

If the intercept is zero, b = 0, and the equation has the form

y = mx

The graph is a straight line passing through the origin.

3. Slope = 1

m represents the slope. If m = 1, the equation has the form

y = x + b

If the axes are scaled equally, the graph is a straight line that crosses the y-intercept at an angle of 45°.  

Monique has $20 available to buy some sweet corn and lima beans to make succotash. If she buys 8 lb of corn, how many pounds of lima beans can she buy

Answers

Answer:

It’s a

Step-by-step explanation:

Answer:

It's A: 4.8 lb

Step-by-step explanation:

Ronald spins a spinner that has 10 sections numbered from 1 to 10. What is the probability that the spinner lands on a prime number?

Answers

The probability the spinner lands on a prime number is 4/10 or 40%

Answer:

40%

Step-by-step explanation:

Prime numbers less than 10 are 2, 3, 5, and 7.  Assuming the sections are sized equally, then four out of ten sections is 40%.

f(x) = x2 + 5x - 1 is shifted 3 units left. The result is g(x). What is g(x)?

Answers

Answer:

g(x) = (x + 3)^2 + 5(x + 3) - 1

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  f(x) = x^2 + 5x - 1.

Shifting the graph of this function 3 units left results in

g(x) = (x + 3)^2 + 5(x + 3) - 1

NEED NOW!!! DONT NEED AN EXPLANATION I HAVE LIKE 5 MIN!!!
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)

Answers

The first one. x and y only ever appear as first degree terms.

Second one, no y, third one xy isn't linear, fourth one x squared isn't linear.

Answer:

The first one: y - 2 = -5(x - 2)

Step-by-step explanation:

the table represents a function​

Answers

Answer:

-8

Step-by-step explanation:

37 There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or
12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, x, and the
number of 12-inch plates, y, that are in the cabinet?
A
x + y = 140
12x + 7y = 15
B
7x +12y = 140
7x + 12y = 15
cx + y = 15
7x + 12y = 140
D
x + y = 15
12x + 7y = 140

Answers

Answer:

it would be 7x+12y=140

The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:

        [tex]x+y=15\\7x+12y=140[/tex]

Given information:

The plates in a kitchen cabinet = 15

The diameter of each plates is either 7 inch or 12 inch.

The diameter of all 12[tex]x+y=15[/tex] plates combined is 140 inches.

Now, for the system of equation:

According to the question:

The number of 7 inches plates is [tex]x[/tex]

The number of 12 inches plates is [tex]y[/tex]

So, by the information given in the question:

[tex]x+y=15[/tex]

Because, there are 15 plates in the cabinet we can write the above equation.

Now, the sum of diameters of all plates is 140, that is also given in the question.

Hence, we can write the second equation as:

[tex]7x+12y=140[/tex]

Hence, The required system of equation is that can be used to find number of 7-inch plates and 12-inch plates is:

[tex]x+y=15\\7x+12y=140[/tex]

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The graph of y= - 3x^2– 4x + 2 opens downward true or false

Answers

Answer:

True

Step-by-step explanation:

This is a parabola.  The coefficient of the x^2 term is -3

Since it is negative, the parabola opens downward

Answer: False

Step-by-step explanation: A-Pexw

Evaluate 15cos60°. evaluate.

Answers

Answer:

15/2 or 7.5

Step-by-step explanation:

cos(60)=1/2

so 15(1/2)=15/2 or 7.5

For this case we must evaluate the following expression:

[tex]15 * cos (60)[/tex]

By definition we have that the cosine of 60 degrees is [tex]\frac {1} {2}.[/tex] Then, substituting in the expression we have:

[tex]15 * \frac {1} {2} = \frac {15} {2} = 7.5[/tex]

So, we have:

[tex]15 * cos (60) = 7.5[/tex]

Answer:

[tex]15 * cos (60) = 7.5[/tex]

3. Solve the system of equations. Show your work. y = x^2-3x+4 x + y = 4

Answers

Answer:  x = 2, y = 2

Step-by-step explanation:

[tex]y=x^2-3x+4\\x + y = 4\quad \implies y=4-x\\\\\underline{\text{Substitute y (in the first equation) with 4 - x:}}\\4-x=(4-x)^2-3(4-x)+4\\\\\underline{\text{Expand and distribute right-hand side:}}\\4-x=16-8x+x^2-12+3x+4\\\\\underline{\text{Simplify right-hand side:}}\\4-x=8-5x+x^2\\\\\underline{\text{Set left-hand side equal to zero (subtract 4 and add x):}}\\0=4-4x+x^2\quad \implies 0=x^2-4x+4\\\\\underline{\text{Factor and solve for x:}}\\0=(x-2)(x-2)\\0=x-2\\2=x[/tex]

Replace x with 2 in the second equation to solve for y:

x + y = 4

2 + y = 4

     y = 2

If h(x) is the inverse of f(x), what is the value of h(f(x))?
OO
0 1
f(x)

Answers

Answer:

x.

Step-by-step explanation:

h(f(x) = x.

For example the inverse of  f(x) = 2x  is g(x) = x/2

f((gx)) 2 (x/2)

= 2x / 2

= x.

Answer:

If h(x) is the inverse of f(x), then  the value of h(f(x)) is:

                                   x

Step-by-step explanation:

Inverse of a function-

The inverse of  a given function is a function which reverses the action of the other function.

Also, the composition of a function and it's inverse no matter in which order they are applied always gives us the identity function.

( Identity function-- Identity function is a function which when applied to some other function always retains that function )

i.e.   If h(x) is the inverse of f(x) ; then we have:

                  [tex]h(f(x))=f(h(x))=x[/tex]

The figure shows the function p(x)=[x]. Which statement about the function is not true?

A) p(0)=0
B) p(-4)=4
C) p(4)=-4
D) The domain of p(x) is all real numbers

Answers

Answer:

The option that's not true is:

C) p(4) = -4

Because if you look at that graph, you can tell, p(4) = 4 not -4.

The domain of the function p(x) = [x] is not all real numbers; it excludes integer values of x where the function is discontinuous. Statement D is not true.

The function p(x) = [x], where [x] represents the greatest integer less than or equal to x (the floor function). Let's evaluate each statement:

A) p(0) = [0] = 0. This is true.

B) p(-4) = [-4] = -4. This is true.

C) p(4) = [4] = 4. This is true.

D) The domain of p(x) is all real numbers. This statement is not true. The domain of p(x) is actually all real numbers except the points where x is an integer. At those points, there are discontinuities, and the function is undefined because the floor function jumps from one integer value to the next.

So, the statement that is not true is D) The domain of p(x) is all real numbers. The correct statement is that the domain of p(x) is all real numbers except at integer values of x.

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Solve w = t(11 + r) for t.

Answers

Answer:

t = w/(11+r)

Step-by-step explanation:

To solve for t, we need to divide anything that t is multiplied to to get it on the other side of the equal sign.

w = t(11+r)

w/(11+r) = t

Answer:

t = w/(r + 11)

Step-by-step explanation:

Solve for t:

w = t (r + 11)

w = (r + 11) t is equivalent to (r + 11) t = w:

t (r + 11) = w

Divide both sides by r + 11:

Answer: t = w/(r + 11)

what is the difference between the mean of each set?

a) 4
b) 5
c) 7
d) 9

Answers

Mean is the average

So the first mean is 11
The second one is 14.7 so round to 15

15-11 is 4. Hope that is correct
The difference is 4

9 to 2
Question 7 (4 points)
What is the slope of the line that passes through the points (3.-1) and (-2,-5)?
Question 8 15 points)​

Answers

Answer:

[tex]\frac { 4 } { 5 } [/tex]

Step-by-step explanation:

We are given the following two points and we are to find the slope of the line which passes through these points:

[tex](3.-1)[/tex] and [tex](-2,-5)[/tex]

The formula of the slope is given by:

Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]

Substituting the given coordinates in the above formula:

Slope = [tex] \frac { - 5 - ( - 1 ) } { - 2 - 3 } = \frac { 4 } { 5 } [/tex]

What is the value of x ?​

Answers

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

∠x is an exterior angle and

∠GFH and ∠FHG are the 2 opposite interior angles, hence

x = 53 + 45 = 98

The value of x is 98 degree.

What is exterior angle property?

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

GFH and ∠FHG are the 2 opposite interior angles to exterior angle 'x',

x = 53 + 45

x = 98

Hence, the value of x is 98 degree.

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For f(x) = 3x+1 and g(x) = x2 - 6, find
(g/f)(x)

Answers

[tex]\left(\dfrac{g}{f}\right)(x)=\dfrac{x^2-6}{3x+1}[/tex]

NEED NOW!
How is the graph of y=(3x+1)^2 related to its parent function y=x2
A It is translated 1 unit right and compressed vertically by a factor of 3.
B It is translated 1 unit left and compressed vertically by a factor of 3.
C It is translated 1 unit right and stretched vertically by a factor of 3.
D It is translated 1 unit left and stretched vertically by a factor of 3.

Answers

D is the answer. Hope this helps!

Which of the follow if best describes AOR

Answers

Answer:

C

Step-by-step explanation:

A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

A central angle is the angle created in the center of a circle with 2 sides being the radius.

Thus, we can see in the figure that we are talking about the angle so we can eliminate major arc and minor arc.

Now, we clearly see that the angle is greater than 90 degree so it cannot be acute angle.

The correct answer is central angle as it goes with the definition.

Final answer:

AOR or Adjusted Odds Ratio is used in medicine as a measure of association between exposures and outcomes, and it tends to overestimate the RR for common diseases.

Explanation:

The term AOR refers to the Adjusted Odds Ratio, which is a statistical measure used to describe the strength of association or non-independence between two binary data values in epidemiology and other fields. In comparison to the Relative Risk (RR), the AOR is a more complex measure that takes into account additional variables that may affect the outcome. In the context of disease prevalence, when a disease is uncommon (around 5% prevalence or less), the AOR can closely approximate the RR. However, for more common diseases (for example, with a 40% prevalence of hypertension), the odds ratio tends to overestimate the risk compared to the RR, diverging more as the prevalence increases.

Which describes the correlation shown in the scatterplot?

Answers

Answer:

None

Step-by-step explanation:

For there to be a correlation it  needs to either be in  a line or have equal stuff on both sides

Answer:

Option c is right

Step-by-step explanation:

Given is a scatter plot with points scattered.

We have to find from the shape the correlation coefficient

The points on the scatter plot do not support a linear correlation between the two variables.

There does not seem to be a line of fit which has minimum deviations from the line.

Hence there is no correlation is the correct answer.

From the given graph, we can say that option c is right.

If f(x) = 5x + 40, what is f(x) when x = –5?

Answers

First note that f(x) means the same thing as y. To solve for f(x) or y you need to plug in -5 for x and solve using the rules of PEMDAS

5(-5) + 40

-25 + 40

15

When x is -5 then y is 15

Hope this helped!

~Just a girl in love with Shawn Mendes

. Simplify the expression. 56 ÷ (–7)

Answers

Answer:

-8

Step-by-step explanation:

All you have to do is divide 56/7 and you get -8.

Hope this helps!

Feel free to ask if you have any questions!

When you divide 56 by -7, the result is -8. This means that -8 is the quotient or simplified expression obtained when dividing 56 by -7.

A simplified expression is a mathematical expression that has been reduced or simplified to its most concise or straightforward form. It typically involves combining like terms, applying rules of arithmetic, or simplifying fractions or radicals. Simplifying an expression helps to make it easier to understand and work with.

To simplify the expression 56 ÷ (-7) step by step, you can follow these steps:

Divide 56 by -7:

56 ÷ (-7) = -8

Therefore, the simplified expression is -8.

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A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

Answers

Answer: agree

Step-by-step explanation:

5(2)=10•2=20

Answer:

disagree

Step-by-step explanation:

Given

5x² = 20 ( divide both sides by 5 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

x = 2 or x = - 2 are the solutions to the equation

What is the following sum? Assume.. (look at picture)

Answers

ANSWER

The correct answer is B

EXPLANATION

The given sum is

[tex] \sqrt{ {x}^{2} {y}^{3} } + 2 \sqrt{ {x}^{3} {y}^{4} } + xy \sqrt{y} [/tex]

We need to remove the perfect squares.

[tex]\sqrt{ {x}^{2} \times {y}^{2} \times y } + 2 \sqrt{ {x}^{2} \times ( {y}^{2})^{2} \times x } + xy \sqrt{y} [/tex]

Let us split the radical sign for the factors to get;

[tex]\sqrt{ {x}^{2}} \times \sqrt{ {y}^{2}} \times \sqrt{y} + 2 \sqrt{ {x}^{2} } \times \sqrt{( {y}^{2})^{2}} \times \sqrt{x} + xy \sqrt{y} [/tex]

This simplifies to

[tex]xy \sqrt{y} + 2x {y}^{2} \sqrt{x} + xy \sqrt{y} [/tex]

Group similar terms to get:

[tex]xy\sqrt{y} + xy \sqrt{y} + 2x {y}^{2} \sqrt{x} [/tex]

Combine the similar terms to get:

[tex]2xy\sqrt{y} + 2x {y}^{2} \sqrt{x} [/tex]

The correct answer is B.

The following dot plots shows the number of strokes golf players required at each hole .Each dot represents a different player.Order the holes from least to greatest typical number of strokes per player .

Answers

Answer:

Hole 6,7,5 is the order

Step-by-step explanation:

Final answer:

To order the holes from least to greatest typical number of strokes per player based on the dot plots, count the number of dots for each hole and arrange the holes in increasing order.

Explanation:

To order the holes from least to greatest typical number of strokes per player, we need to look at the dot plots and determine the number of players represented by each dot. We can then count the number of dots for each hole and arrange the holes in increasing order based on the number of players. The hole with the least number of strokes per player would have the fewest dots, while the hole with the greatest number of strokes per player would have the most dots.

Let's say the dot plots show the following:

Hole 1: 2 dotsHole 2: 4 dotsHole 3: 3 dotsHole 4: 1 dotHole 5: 5 dots

Based on the number of dots per hole, the order from least to greatest typical number of strokes per player would be:

Hole 4Hole 1Hole 3Hole 2Hole 5

Question 4 Multiple Choice Worth 1 points)
(01.03 LC)
Carleen has 104 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 8 kids on her block. Write an equation to show how many pieces of candy each
kid will receive.​

Answers

Answer:

Number of candy received by each kid, [tex]x=\frac{104}{8}=23[/tex]

Step-by-step explanation:

Let x be the pieces of candy each  kid will receive.

Total number of candy left with Carleen = 104

Number of kids for which she is distributing = 8

Number of candy received by each kid, [tex]x=\frac{104}{8}=23[/tex]

23 pieces of candy each kid will receive.​

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question,

The pieces of candy each  kid will receive will be x

Total number of candy left with Carleen = 104

The number of kids for which she is distributing = 8

The equation will be

[tex]x =\frac{104}{8}[/tex]

[tex]x = 23[/tex]

Here , the number of candies receive by each kid will be 23.

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The sum of 26 and twice a number is 312. Find the number.

Answers

Answer:

Step-by-step explanation: 26+2c=312

Now we solve for c.

Subtract 26 on both sides giving 2c=286

So c=143

This is the equation in numbers translated (n is a number)

26 + 2n = 312

We have to find what the number (n) is. This means we must isolate n. To do this you must subtract 26 to both sides

26 - 26 + 2n = 312 - 26

0 + 2n = 286

2n = 286

To further isolate n you must divide 2 to both sides

2n/2 =286/2

n = 143

Check:

26 + 143*2 = 312

26 + 286 = 312

312 = 312

The number is 143

Hope this helped!

~Just a girl in love with Shawn Mendes

How many inches did the height of the plant increase between weeks 3 and 4? 2

Answers

Answer:

The plant increased a total of 4 inches. Week 3 the plant increased 8 inches and week 4 the plant was 12 in, now subtract 12-8= 4

Answer:

The plant increased a total of 4 inches.  

Week 3, the plant was 8in and week 4, the plant was 12in.

To find our solution, subtract 8 from 12

12-8=4

Step-by-step explanation:

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