Mathematics High School

what is the gradiant of the graph

Answers

Answer 1

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 3) ← 2 points on the line

m = [tex]\frac{3-(-1)}{2-0}[/tex] = [tex]\frac{3+1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Related Questions

After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?

Answers

Answer:

$3.40

Step-by-step explanation:

Look at image above...

Find the area of triangle

Answers

So we see one large triangle, that can be split into two triangles split by the thin dotted line:

the First triangle --> has a hypotenuse of 26 and a leg of 11the Second triangle --> has a hypotenuse of 42

Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem

[tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]

Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle

[tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]

Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:

--> 34.77 + 11 = 45.77

The height as found in the first initial step is 23.56 thus the area is

Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]

Hope that helps!

A shoebox has a length of 1 1/4 feet, a width of 1 foot, and a height of 1/2 foot cubes that measure 1/4 foot on each side are packed into the shoebox. how many of these cubes will fit inside the shoebox

Answers

The number of cubes that will fit into the shoebox is 40 cubes

How to calculate the volume of a box

Volume is the measure of a substance an object contains

Volume of the box = length * width * height

Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit

Determine the volume of the box

Volume of the box = l³

Volume of the box = (1/4)³ = 1/64 cubic units

Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes

Hence the number of cubes that will fit into the shoebox is 40 cubes

Learn more volume of cube here: https://brainly.com/question/1972490

Find the diameter of a circle with area 28.3 yd2

Answers

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

In Juneau, Alaska, the 30-year annual snowfall average is 86. 7 inches with a standard deviation of 40. 4 inches. The last four years saw an average annual snowfall of 115. 7 inches, 62. 9 inches, 168. 5 inches, and 135. 7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make? The z-statistic is 1. 44, so the null hypothesis cannot be rejected. The z-statistic is 1. 68, so the null hypothesis cannot be rejected. The z-statistic is 1. 85, so the null hypothesis should be rejected. The z-statistic is 4. 6, so the null hypothesis should be rejected.

Answers

The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

What is null hypothesis?

The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.

To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.

Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.

Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.

To compute for the z-score,

we have z-score = (x – μ) / (σ / √n)

where x is the computed/measured value,

μ is the expected mean, σ is the standard deviation,

and n is the number of samples.

Using the information we have,

z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68

In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.

Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

To know more about Null hypothesis follow

https://brainly.com/question/15980493

Answer:

B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.

Step-by-step explanation:

edg 22, got 100 on unit test

Variables A basic cheese pizza is $6.50 and each additional topping cost $1.50 write the right and paragraphs equation and two variables that represent a total of cost of a single pizza

Answers

Answer:

i don't really know but I love pizza

PLS help im going insane

Answers

Answer:

B) 240

Step-by-step explanation:

If you want an explanation, just ask.

Hope this helps! Pls give brainliest!

IMAGE BELOW I WIL GIVE BRANLIEST

Answers

Answer:

The scale factor is 2.

Step-by-step explanation:

From the coordiante plane, we can see that:

Point H(4) has been expanded to 4 {4 · 2 = 8}

Point G(1) has been expanded to 2 {1 · 2 = 2}

Point I(-2) has been expanded to -4 {-2 · 2 = -4}

hope this helps!

A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.

What is the length of each side of the garden?

3 meters

6 meters

9 meters

27 meters

Answers

Answer: 9 meters

Step-by-step explanation:

Let's list what we know

The garden is in the shape of a triangle

The perimeter of the garden is 27 meters

Each side is the same length

The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides

Since all the sides are the same length we can divide 27 by 3 to find the length of each side

27/3=9

The answer would be 9 meters because we know the perimeter is 27 and a triangle has 3 sides. All you have to do is add 9 to itself 3 times for each side and you get 27 meters.

Jacob and his father measured the lengths of scrap wood in their yard. Make a line plot of their data.

Answers

The line plot is used to show the lengths of the scrap woods using check marks above the line

How to draw the line plot

From the question, we have the following frequency table

Lengths Frequency

[tex]4\frac 18[/tex] 2

[tex]4\frac 14[/tex] 3

[tex]4\frac 38[/tex] 1

[tex]4\frac 12[/tex] 6

[tex]4\frac 58\\[/tex] 1

[tex]4\frac 34[/tex] 2

[tex]4\frac 78[/tex] 2

[tex]5[/tex] 1

Next, we plot the number line.

Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis

See attachment for the line plot

Answers

Answer:

12×3=36

Step-by-step explanation:

hope ththis helped :))

36 because you have to do 12x3

What is the factorization of the following trinomial? 15x2 - 44x - 36
(3 x - 4) (5 x + 9)
(5 x - 9)(3 x +4)
(5 x -18) (3 x + 2)
(5 x + 18 ) (3 x - 2 )

Answers

(5x + 18) (3x - 2) is what I got

No chi-square The principal in Exercise 7 also
asked the random sample of students to record
whether they did all of the homework that was
assigned on each of the five school days that week.
Here are the data:
Monday Tuesday Wednesday Thursday Friday
School day
Number who did
all homework
34
29
32
28
19
Explain carefully why it would not be appropriate
to perform a chi-square test for goodness of fit using
these data.
oh

Answers

The random sample of the students is an illustration of sampling

The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

How to determine the reason chi square is not appropriate?

The dataset is given as:

Monday 34

Tuesday 29

Wednesday 32

Thursday 28

Friday 19

The variable of the above dataset is a not a categorical dataset.

One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.

Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

Answers

Answer:

20/75 is lesser than 26

Step-by-step explanation:

Hope this helps U

Answer:

Less than

Step-by-step explanation:

Simply convert 20/75 and compare the two:

0.26 O .266666666666666666666666

0.26 < .2666666666666666666666666

Therefore, 0.26 is less than 20/75

Answer it and you get points

Answers

Answer:

79 (first blank)

131 (second blank)

157 (last blank)

Step-by-step explanation:

92-13 to get the first blank, and you get 79.

118+13 to get the second blank, and you get 131.

144+13 to get the last blank and you get 157.

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

Check your work:

79+13=92

92+13=105

105+13=118

118+13=131

131+13=144

144+13=157

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

I hope this helps!

-No one

Step-by-step explanation:

89 131 157 this is the answer

PLEASE HELP ME I CANT GET IT RIGHT

Answers

Answer:

Area=½b×h

Area =½×20×8=80m²

=80m²

hope it helps!

Answer: 80 m 2 or 80 square m

tthx for the help can you answer this question

Answers

Answer:

A = 41

B = 31

Step-by-step explanation:

angles in a triangle add up to 180 degrees

the three angles in this triangle: 108, x+5, x-5

added up, we get

108 + (x+5) + (x - 5) = 180

= 108 + 2x + 5 - 5

= 108 + 2x

subtract 108 from both sides to isolate the variable and its coefficient

72 = 2x

divide both sides by 2 to solve for x

x = 36

A = x + 5 = 36 + 5 = 41

B = x - 5 = 36 - 5 = 31

Hunter wants to make money over the summer by selling lemonade. he has $50 in savings. he spends $20 on a pitcher and reusable cups. doing the math, he realizes that sugar, lemons, and water will cost $.75 per serving. what is the greatest number of cups that can be made before hunter runs out of his budget?

Answers

Hunter can make a total of 40 cups before he runs out of budget.

How much money does Hunter have to make lemonade?

We know his total budget was $50 but he already spent $20 on a pitcher and cups.

$50 - $20 = $30

This means the total of money just for the lemonade is $30.

How many lemonade cups can he make?

To find this number divide the budget for lemonade by the cost of a lemonade cup $0.75.

$30 / $0.75 = 40

Based on this, the total of cups he can make is 40 cups.

Learn more about budget in: https://brainly.com/question/15712390

solve pls brainliest

Answers

Answer:

5/6

Step-by-step explanation:

11/12 - 1/12 = 10/12

10 divided by 2 = 5
12 divided by 2 = 6

5/6

Answer:

⅚

Step-by-step explanation:

¹¹/12 - ¹/12 = ¹⁰/12

÷2 →

5/6

Can someone please help me with this if you can thank you!

Answers

Answer:

38.69

Step-by-step explanation:

=$38.69411765

=$38.69 (to the nearest cent)

(100/85) \$32.

please help!!!! thanks

Answers

B. 2a -21 = 1

2/3 a -7 = 1/3

Multiply through by 3

(2/3 a)(3) -(7x3) = 1/3 x 3

2a - 21 = 1

Please help im confused.

Answers

Answer:

The first choice is the answer.

Step-by-step explanation:

Please help me on this

Answers

Answer:

[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]

[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]

Which is an equivalent fraction for
?
A
12\frac{1}{2}
2
1

B
26\frac{2}{6}
6
2

C
46\frac{4}{6}
6
4

D
32\frac{3}{2}
2
3

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

solve for x and round please

Answers

Answer:

9.6

Step-by-step explanation:

6.4/x = sin42

x = 6.4/sin42

x = 9.56

. In Problem 2, how many lateral faces would there be if the base had
two sides of length 3 tnches and four sides of length 2 inches? Explain.

Answers

The number of lateral faces for a hexagonal prism or pyramid is 6.

What is a prism?

A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.

Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.

The number of lateral faces for a hexagonal prism or pyramid is 6.

Find out more on prism at: https://brainly.com/question/23963432

i need help
will give 30 points

Answers

Answer:

Step-by-step explanation:

Scale word problem
Someone please help!!

Answers

Answer:

60.6 cm length

43.2 cm width

Step-by-step explanation:

The scale is 1 m = 6 cm

Take the length in meters, multiply it by 6, and change the unit to cm.

10.1 m becomes 10.1 × 6 cm = 60.6 cm

7.2 m becomes 7.2 × 6 cm = 43.2 cm

A software store has put some of its inventory on sale. games are marked down by 15%, and security programs are marked down by 18%. if you pay $35.70 each for two games and $22.96 for a security program, how much have you saved? a. $17.64 b. $14.84 c. $12.24 d. $11.34

Answers

The amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.

What is the discount?

A discount refers to an amount deducted from the normal selling price of an object.

Let x be the original price of one game and y be the original price of one security program.

Given pay $35.70 each for two games and $22.96 for a security program.

The total pay with discount

$35.70 + $22.96 = $58.66

Also, 100% - 15% = 85%

100% - 18% = 82%

here, we have

0.85 (2x) = 35.70

1.70x = 35.70

x = $21

0.82 y = 22.96

y = $28

the total pay without discount

2x + y = 2 (21) + 28

= $70

The amount saved is 70 - 58.66 = 11.34

Therefore, the amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.

Learn more about discounts;

https://brainly.com/question/1289629

Answer:

d. $11.34

Step-by-step explanation:

PLEASE HELP!!!
NO LINKS!!!!
7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square
centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic
centimeter?
8. The volume of a sphere is 2,000pim^3. What is the surface area of the sphere to the nearest square meter?
9. The volumes of two similar solids are 1408 m^3 and 594m^3. The surface area of the smaller solid is 549m^2. What is the surface area of the larger solid?
10. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14cm?

Answers

Answer:

im lost only because you made this so long

Step-by-step explanation:

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