Need help with this assignment!!

Answer:

x < 45

Step-by-step explanation:

Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.

Answer:

2

Step-by-step explanation:

Answer:

B= 1.5

Step-by-step explanation:

Answer:

yeah the answer is in the question just needed the points

Step-by-step explanation:

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

and,

[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

"A set of numbers arranged in rows and columns so as to form a rectangular array."

"A matrix formed by combining the columns of two matrices to form a new matrix."

"The mathematical operations that are performed on rows of a matrix."

For given question,

We have been given an augmented matrix.

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

We need to perform the row operation 4R3 + R1 → R1

To perform above row operation,

- First multiply the third row by 4. ([tex]4R_3[/tex])

- Add the new third row (4[tex]R_3[/tex]) with the first row.

- Then replace Row 1 with the result.

The resultant augmented matrix would be,

[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

That is,

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

Now, we need to perform the row operation  [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.

To perform above row operation,

- Multiply the Row 1 by the reciprocal of 4.

- Then replace Row 1 with the result.

The resultant augmented matrix would be,

[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

Therefore,

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

and,

[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

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Answer:

There are 10 + 20 = 30 total students in the class.

Total marks for the class = 60 * 30 = 1800.

Total marks for the girls = 54 * 20 = 1080.

=> Total marks for the boys = 1800 - 1080 = 720.

Mean mark for the boys = 720 / 10 = 72.

Answer:

-4, 6, 16, 26

Step-by-step explanation:

For each y-value, all you need to do is put x into the function or equation wherever there is an x, and the result will be the y-value.

When x = 0; y = 2(0)-4, or y = -4.

When x = 5; y = 2(5)-4 = 10-4 = 6

When x = 10; y = 2(10)-4 = 20-4 = 16

When x = 15; y = 2(15)-4 = 30-4 = 26

Answer:

7 to the power of 3

7 3

Step-by-step explanation:

7 21/ (7 6) 3

7 21/ 7 18

Cross it out and answer is 7 3

Answer:

343

Step-by-step explanation:

[tex]\frac{7^{12} * 7^{9}}{(7^{6})^{3} }[/tex] is the equation.

1. You can add the two exponents in the numerator --> [tex]7^{21}[/tex]

2. You can multiply the exponents in the denominator --> [tex]7^{18}[/tex]

(the equation is now [tex]\frac{7^{21} }{7^{18} }[/tex])

3. Subtract the exponents to get [tex]7^{3}[/tex]

[tex]7^{3}[/tex] = 343

Answer:

9.099 seconds

Step-by-step explanation:

The rock hits the surface of the moon when is t is 0.

[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]

Use the quadratic formula

t = -1.099 and 9.099

Since time can't be negative, the answer is t = 9.099

Answer:

the height will be 11 cm

Step-by-step explanation:

As:

given,

base area = 380

volume = 4180

We know,

Base area = l * w

or, 380 = l * w

Then,

volume= l * w * h

or, 4180 = 380 * h

or, 4180/380 = h

or, h = 11

Therefore, the height will be 11 ft.

All the best!!

The height of the rectangular prism is 11 feet

The volume of the prism is given as:

Volume = 4180 cubic feet

The base area of the prism is given as:

Base Area = 380 square feet

The volume of the prism is calculated as:

[tex]Volume = Bh[/tex]

Where, B represents the base area and h represents the height

So, we have:

[tex]4180= 380 \times h[/tex]

Divide both sides by 380

[tex]11 = h[/tex]

Rewrite the equation as:

[tex]h =11[/tex]

Hence, the height of the rectangular prism is 11 feet

Read more about volumes at:

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Answer:

288 sq feet is my best guess

Step-by-step explanation:

Answer:

80cm²

Step-by-step explanation:

Area of parallelogram =base×height

B=16cm

H=5

Area=16×5

80cm²

Hope this helps you :)

Step-by-step explanation:

area= b×h

area= 16cm × 5cm

area= 80 cm²

Answer:

4

Step-by-step explanation:

because subtract 4+7 which is 11 from 19 which is 7 and 4x3 equals 9 so X is 3

Answer:

2s+6

Step-by-step explanation:

(9s+9)-(7s+3)

9s-7s+9-3

2s+9-3

2s+6

Answer:

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The correlation of the values in the tables is the existence of a

relationship between the x and y values.

Correct response:

A table that shows a strong correlation is one in which the y-values can be predicted more or less accurately from the x-values.

The table that shows no correlation is one in which the x and y-values have different patterns;

The level of correlation is given by the correlation coefficient, which is found by the following formula;

[tex]\displaystyle r = \mathbf{ \dfrac{\sum \left(x_i - \overline{x} \right) \cdot \left(y_i - \overline{y} \right)}{\sqrt{\sum \left(x_i - \overline{x} \right)^2 \cdot \sum \left(y_i - \overline{y} \right)^2} }}[/tex]

By plotting the values using MS Excel, we have the values of r², for the tables as follows;

The value of r² for the first table is r² = 0.7307

Therefore;

r ≈ 0.8548 The correlation of the first table is strong.

Second table, r² = 0.8156

r = √(0.8156) ≈ 0.9031 The correlation in the second table is very strong.

Third table, r² = 0.0107

Therefore, r ≈ 0.1034

Fourth table, r² = 0.9342

Therefore, r ≈ 0.9665

The correlation of the x and y-values of the fourth table is very strong indicating the presence of a correlation.

Therefore;

Learn more about correlation analysis here:

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Answer:

When we have a mean M and a standard deviation S, the values that are within the mean absolute deviation are all the values in the interval:

[M -S, M + S]

In this case, we have:

M = 782

S = 52

Then the interval is:

[782 - 52, 782 + 52]

[730, 834]

Then any number between 730 and 834 are possible answers to this question, for example, we can choose:

789 and 801

Answer:

a. 10.4m above the cliff

b. 18.4m below the cliff

c. Os or 3.1s

d. 5.1s

a) The rock be 10 m above the cliff after two seconds.

b) The rock be 20 m below the cliff after 4 seconds.

c) After 3 second it again be at the same level you threw it.

d) After 5 second it hit the water, 50 m below the cliff.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.  

Since, The formula for the distance,

s = ut - 1/2 gt²

Where, s is distance of an object.

u is initial velocity.

t is time taken by object.

Now,

a) Given that;

t = 2 seconds , u = 15 m/sec , g = 10 m/s

Since, s = ut - 1/2 gt²

Substitute all values we get;

s = 15 × 2 - 1/2 × 10 × 2²

s = 30 - 20

s = 10 m

Thus, The rock be 10 m above the cliff after two seconds.

b) Given that;

t = 4 second,

Then, s = ut - 1/2 gt²

s = 15 × 4 - 1/2 × 10 × 4²

s = 60 - 80

s = - 20

Hence, The rock be 20 m below the cliff after 4 seconds.

c) Given that;

s = 0 meter

Then, s = ut - 1/2 gt²

Substitute all the values,

0 = 15t - 1/2 × 10 × t²

15t - 5t² = 0

5t² - 15t = 0

5t ( t - 3) = 0

Gives, t = 0 second and t = 3second

So, After 3 second it again be at the same level you threw it.

d) Given that;

s = -50 m

Since, s = ut - 1/2 gt²

Thus, Substitute all the values we get,

- 50 = 15t - 1/2 × 10 × t²

15t - 5t² = -50

5t² - 15t - 50 = 0

5 (t² - 3t - 10) = 0

t² - 3t - 10 = 0

By using quadratic formula;

t = -(-3) ± √(-3)² - 4 × 1 × -10 / 2 × 1

t = 3 ± √9 + 40 / 2

t = 3 ± √49 / 2

t = 3 ± 7 / 2

Gives t = 3 + 7 / 2 = 5 second

and , t = 3 - 7/ 2 = -4/2 = -2 second

Thus, After 5 second it hit the water, 50 m below the cliff.

So,

a) The rock be 10 m above the cliff after two seconds.

b) The rock be 20 m below the cliff after 4 seconds.

c) After 3 second it again be at the same level you threw it.

d) After 5 second it hit the water, 50 m below the cliff.

Learn more about the velocity visit:

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Answer:

x= 20

Step-by-step explanation:

set up a proportion:

(2x - 4)/24 = 39 / (x + 6)

(2x - 4)(x + 6) = 936

2x^2 + 8x - 24 = 936

x^2 + 4x - 12 = 468

x^2 + 4x - 480 = 0

(x - 20)(x + 24) = 0

x= 20, -24

has to be positive so x = 20

Answer:

Discount:

20% is .2 as a decimal, so you multiply the value of 12 by .2

12(.2)=2.4

The discount is $2.40

Sale Price:

subtract 2.4 from the price of the original price

12-2.4=9.6

The sale price is $9.60

Step-by-step explanation:

Answer:

Each can of soda will cost $0.37

Step-by-step explanation:

First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda

24/8.99 = 1/x

Then you cross multiply.

24*x  8.99*1

24x=8.99

Divide each side by 24

24x/24=8.99/24

x=0.374583

Round it to the nearest hundredths place.

x=0.37

[tex] \frac{400}{0.12} = 400 \: feet[/tex]

[tex]400 \times 0.12 = 48[/tex]

Answer:

function A is have the best compares of the graphs

Answer:

I think the answer is 1 7/9

Answer:

Actual height of lighthouse = 32 m

Step-by-step explanation:

Given:

Scale height of lighthouse = 8 cm

Scale;

1 cm = 4 m

Find:

Actual height of lighthouse

Computation:

Actual height of lighthouse = Scale height of lighthouse x 4 m

Actual height of lighthouse = 8 x 4 m

Actual height of lighthouse = 32 m

Answer:

[tex] x=12\sqrt 2[/tex]

x = 100

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{12}{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{12}{x} \\ \\ \huge \red{ x = 12 \sqrt{2} } \\ \\ \\ \sin \: 45 \degree = \frac{x}{100 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{100 \sqrt{2} } \\ \\ x = \frac{100 \sqrt{2} }{ \sqrt{2} } \\ \\ \huge \purple{ x = 100 } [/tex]

Answer:

-5/3

Step-by-step explanation:

We can find the slope between two points using

m = ( y2-y1)/(x2-x1)

   = ( 1-6)/(0 - -3)

   = ( 1-6)/( 0+3)

   = -5/3

Answer: the answer is B

Step-by-step explanation:

Answer:

You can tell if a table is proportional if the x and y-values change at a constant rate.

For example:

x    y

0    2

1     4

2    6

3    8

This table is proportional, because the x values change at one at a time, and the y values change at 2 at a time.

Let me know if this helps!

Answer:

D. 2.69 lb is your answer

13vases=34.97lb

1 vase=34.97/13=2.69lb

Answer:

9.8cm

Step-by-step explanation:

The pythagorean theorem states that, for right triangles, [tex]a^{2}+b^{2} =c^{2}[/tex]. Using this equation, we can solve for the hypotenuse.

a = 9cm

b = 4cm

c = hypotenuse

9^2 + 4^2 =c^2

81 + 16 = c^2

[tex]\sqrt{97} =c[/tex]

9.8 = c

[tex]3\frac{8}{9}=\frac{35}{9}[/tex]

35/9

(I hope this helps)

Answer:

c

Step-by-step explanation: