Find the equation of this line

Answer:

f(-3) means, put -3 at x

therefore, f(-3)= 3²+1

=10

65-52=13

13x100

65 = 20%

the discount is given 20%

Answer:

[tex]V=343\,\,cm^3[/tex]

Step-by-step explanation:

Recall that fractional exponents are other form of representing roots.

In our case, the formula for the volume of the cube in terms of area of a face, is also written as:

[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]

which for the case of a cube with face area of 49 cm^2 becomes:

[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]

Answer:

4/5

Step-by-step explanation:

The ratio of girls to boys is 12/15. Since, there are 12 girls to the 15 boys in the classroom.

Then, you would simplify 12/15.

The simplified form of 12/15 is 4/5

Answer:

y=1/2x-7/4

Step-by-step explanation:

(3.5, 0)

Answer:

ur missing:

images

materials list

sequential steps

title

Step-by-step explanation:

I was also looking for an answer lol!

Answer:

Is there a photo I can look at to determine the answer?

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Since rounding 312 to the nearest hundred will be 300 and not 3 and rounding 9.12 to the nearest one is 9

and 300≠9

Answer:

4

Step-by-step explanation:

1. the distance between A and B can be calculated:

[tex]|AB|=\sqrt{(4+4)^2+(-4-2)^2} =10.[/tex]

2. the distance between B and C can be calculated:

[tex]|BC|=\sqrt{(-4+4)^2+(2+4)^2} =6.[/tex]

3. if AB=10, BC=6, then difference between them is 4.

Answer:

to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.

Answer:

x = 8

Step-by-step explanation:

✔️Area of the square = s²

Where,

s = (2x - 4)

Area = (2x - 4)² = (2x - 4)(2x - 4) = 2x(2x - 4) -4(2x - 4)

= 4x² - 8x - 8x + 16

Area of square = 4x² - 16x + 16

Area of rectangle = L × W = (3x - 6) × x

= 3x² - 6x

✔️Since both have the same area, therefore,

4x² - 16x + 16 = 3x² - 6x

Collect like terms

4x² - 3x² - 16x + 6x + 16 = 0

x² - 10x + 16 = 0

Factorize

x² - 2x - 8x + 16 = 0

x(x - 2) -8(x - 2) = 0

(x - 2)(x - 8) = 0

(x - 2) = 0 or (x - 8) = 0

x = 2 or x = 8

If we plug in x = 2 into any of the given side length, we would have 0. (i.e. 2x - 4 = 2*2 - 4 = 0)

So the value of x cannot be 2 because the length of any of the shape cannot be 0.

So therefore, the value of x = 8

Answer:

This blog entry describes what my students and I did during Week 2 of the Emerging Tech (NSF Grant) project.  The events in this blog entry took place at the same time as the events in this article.  As a pair, these describe what a PBL teacher does while running two projects in two different preps at one time.  To see accounts on earlier or later weeks of these projects, go here.

Answer:

What percent of his baseball cards did David give to his sister?

20%

How many baseball cards does David have left? %

47

David had 180 cards left

Hope I helped!

Answer:

x = 3

Step-by-step explanation:

x =  (sq rt 3)( sq rt 3)  because the leg opposite the 30 degree angle (sq rt 3) times the set value of sq rt 3 = the leg adjacent to the 30 degree angle.

x = (sq rt 3)(sq rt 3)

x = 3

Answer:

B. 8 + 5

Step-by-step explanation:

5 - (-8)

= 5 + 8

= 8 + 5

9514 1404 393

Answer:

Step-by-step explanation:

Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.

Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.

Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.

In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.

In summary:

Answer:

a. 0.96 = 96% probability that the number is odd.

b. 0.48 = 48% probability that the sum of the digits is odd.

c. 0.24 = 24% probability that the number is greater than 70.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We are given the prime numbers less than 100, they are:

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

There are 25 prime numbers less than 100.

a. The number is odd

Of the 25, 24 are odd, only the number 2 is even. So

24/25 = 0.96 = 96%

0.96 = 96% probability that the number is odd.

b. The sum of the digits is odd

The sum of the digits is odd for:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

12/25 = 0.48 = 48%

0.48 = 48% probability that the sum of the digits is odd.

c. The number is greater than 70

71, 73, 79, 83, 89, 97. 6 of them

6/25 = 0.24 = 24%

0.24 = 24% probability that the number is greater than 70.

A) The probability that one of the numbers is odd is; 96%

B) The probability that the sum of the digits is odd is; 48%

C) The probability that the number is greater than 70 is; 25%

We are given the prime numbers;

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

This is a total of 25 prime numbers.

Thus; N = 25

A) The number of odd numbers are 24.

Thus,probability of selecting an odd number is;

P(odd number) = 24/25

P(odd number) = 0.96 or 96%

B) The numbers that their sum is odd are:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89

Kindly note that the single numbers are added to zero to make them odd too.

Thus there are 12 of them that their sum are odd.

P(sum is odd) = 12/25

P(sum is odd) = 0.48 or 48%

C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.

Thus;

P(number is greater than 70) = 6/25

P(number is greater than 70) = 0.25 or 25%

Read more about probability of selection of numbers at; https://brainly.com/question/251701

Answer:

total area = 217 m³

Step-by-step explanation:

area of the triangle

= 14 × 10

= 140 m²

area of a semicircle

= 1/2 × 22/7 × 7 × 7

= 77 m²

total area

= 140 + 77

= 217 m³

Answer:

(1.5,-4) top left (-1.5,4)

Step-by-step explanation:

The point lies in the bottom right at (1.5,-4), and if you reflcting it across the x and y axis the point is going to be in the oppisite quadrant and oppisite of the original point. example if the coordinates are X value, reflecting them will make it -x, making positves negatives and vice versa.

P. S. you should start reviewing  your school work for a test like a week before to have enough time to review it all.

Answer: See explanation

Step-by-step explanation:

Cluster sampling, is a form of sampling whereby the population is divided by the researchers into smaller groups that are referred to as clusters and then the sample will be taken from the clusters formed.

Convenience sampling is when a sample is drawn based on the available population.

Systematic sampling is when a sample is gotten when the members are taken at regular intervals e.g 5th person, 12th items etc.

Simple random sampling is when the sample is selected from the larger population and in this case, every member involved can be selected as they all have an equal chance.

Based in the definition above, the answers will be:

a. Cluster sample

b. Convenience sample

c. Systematic sample

d. Simple random sample

Answer:

2(4+7) = 2×4 + 2×7 = 8 + 14 = 22

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.

Answer:

Volume of the figure= 312 yd²

Step-by-step explanation:

Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.

We know volume is V= lwh

Start with the main rectangle (bigger one)

I see l=12, w=11, and h=2

So V(of main rectangle)=12x11x2

V(of main rectangle)=264

We have to go do the smaller rectangle now

I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.

So V(of smaller rectangle)=6x4x2

V(of smaller rectangle)=48

Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.

V(of smaller rectangle) + V(of main rectangle)

264 + 48

Volume of the figure= 312 yd²

Answer:

31/40 is a fraction of 77.5

Answer:

Well, 77.5 in fraction form is 77 1/2, also simplified.

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.

Answer she used 4.5 for each bag.

Step-by-step explanation:

Answer:

2/9 or

0.2222222222222222222222222222222222222222222222222222222222222222... decimal

Step-by-step explanation:

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The corresponding sides are proportional:

  (2x +1)/5 = (x +2)/3

  3(2x +1) = 5(x +2) . . . . . cross multiply

  6x +3 = 5x +10 . . . . . . . eliminate parentheses

  x = 7 . . . . . . . . . . . . . . . subtract 5x+3 from both sides

Answer:

24$

Step-by-step explanation:

12m/1.5m=8 8*3=24