Which linear inequality is represented by the graph?

Answer:

Total Surface Area =

148cm²

Explanation:

in the picture

The total surface area of cuboid is 158 cm².

The surface area of a cuboid is the total area of all of the faces of a cuboid.

If, the length (l), width (w), and height (h) of the cuboid

then, use the formula: surface area (SA)=2lw+2lh+2hw.

Here, given that,

l = 6cm

w = 4cm

h = 5cm

So, required total SA = 2( 24+30+20)

                                   =158 cm²

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Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x + 2 is an exterior angle of the triangle, thus

10x + 2 = 2x + 1 + 25

10x + 2 = 2x + 26 ( subtract 2x from both sides )

8x + 2 = 26 ( subtract 2 from both sides )

8x = 24 ( divide both sides by 8 )

x = 3

Answer:

B

Step-by-step explanation:

From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

188 is the answer of questions

Answer:

He needs 0.275 cups of orange juice to reach his estimates

Step-by-step explanation:

Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.

4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.

Adding them together we will know the amount he got. Therefore,

4/17 + 3/10 + 9/20 + 3/11 + 7/15

(40 + 51)/170  + 9/20 + 3/11 + 7/15

91/170 + 9/20 + (45 + 77)/165

(1820 + 1530)/3400 + 122/165

3350/3400 + 122/165

0.98529411764 + 0.73939393939

1.72468805703

Patel got approximately 1.725 cups of orange juice . He will  require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.

1/2 cup of orange juice

Answer:

p = g - 50

Step-by-step explanation:

profit = income - expenses

income = 1 * g = g

expenses = $50

p = g - 50

If g = 50, then

p = 50 - 50 = 0

If she sells 50 glasses of lemonade, she breaks even. That means she makes no profit, but also she loses nothing.

If she sells more than 50 glasses, then she makes a profit.

Answer:

50 is the answer

Step-by-step explanation:

Answer:

The slope of the line passing through the points (5, -5) and (7,3) is 4 . Use the slope formula to find the slope.

Answer:

The answer is C.

Step-by-step explanation:

You have to square both sides :

[tex] {x}^{2} = 27[/tex]

[tex]x = ± \sqrt{27} [/tex]

Then, you have to simplify it :

[tex]x = ± \sqrt{9 \times 3} [/tex]

[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]

[tex]x = ±( 3 \times \sqrt{3} )[/tex]

[tex]x = ±3 \sqrt{3} [/tex]

Answer:

Option C) x = ±[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

=> [tex]x^2 = 27[/tex]

Taking sqrt on  both sides

=> x = ±[tex]\sqrt{27}[/tex]

=> x = ±[tex]\sqrt{3 * 3*3}[/tex]

=> x = ±[tex]3\sqrt{3}[/tex]

Answer: C. 0.8 ft x 1 ft

Step-by-step explanation:

The scale factor of 1/5 means you multiply

the dimensions by 1/5

4 * 1/5 = 0.8

5 * 1/5 = 1

Answer:

C. 0.8 ft x 1 ft

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

No, it fails the vertical line test

Step-by-step explanation:

This is not a function.  It does not have a one to one correspondence.  There are x values that have more than one y value.  It fails the vertical line test

Answer:

Moving 4 to the right on the x axis

Step-by-step explanation:

Answer:

[tex]3t^9[/tex]

Step-by-step explanation:

Image attached below.

Answer:

Actually the correct answer is the last option.

Step-by-step explanation:

I just took the quiz on edge

The function given in the option (4) has the steepest slope.

For option (1)

Let's calculate the slope for given values of x and y in option (1)

First, let's consider the points (3,10) and (6,13):

[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]

[tex]x_2-x_1=6-3=3[/tex]

and [tex]y_2-y_1= 13-10 =3[/tex]

Now, the formula for slope is:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

So, for these points,

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Next, for points (6,13) and (9,16):

[tex]x_2-x_1=9-6=3[/tex]

and [tex]y_2-y_1=16-13 =3[/tex]

then, slope is:

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Similarly, for points (9,16) and (12,19):

Slope is 1.

Hence, for the data given in option (1), slope is 1.

Now for option(2);

From the given graph, we can see the co-ordinates are (1,0) and (0,-2)

[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]

[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]

Thus, the slope is:

[tex]m = \dfrac{-2}{-1}[/tex]

[tex]m=2[/tex]

Now for option (3):

From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)

[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]

[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]

Thus, the slope is

[tex]m = \dfrac{1}{0.5}[/tex]

[tex]m =2[/tex]

Now, for option (4):

First, let's consider the points (2, -4) and (4, -12)

[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]

slope is:

[tex]m = \dfrac{-8}{2}[/tex]

m =-4

Now, for points  (4, -12) and (6, -20):

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]

Then, the slope is:

[tex]m= \dfrac{-8}{2}[/tex]

m = -4

Similarly, for points (6, -20) and (8, -28):

Slope is -4.

That means for the data given in  option (4)  slope is -4.

Hence, the slope for the option (4) is steepest.

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Answer:

9 feet

Step-by-step explanation:

Answer:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used. (2l + 2w) = 48

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

(2l + 2w) = 48

2 x 15 + 2w = 48

30 + 2w = 48

Now Using Subtraction property we will subtract both side by 30 we get;

30 + 2w -30 = 48 -30

2w = 18

Now Using Division Property we will divide both side by 2 we get;

2w = 18

/2

w = 9

Answer:

Answer is A: 9 feet

Answer:

20x^6

Step-by-step explanation:

20x^6

(5x^3)(4x^3)

Answer:

[tex]y=\dfrac{1}{8}x^2+1[/tex]

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

[tex]y=\dfrac{1}{8}x^2+1[/tex]

Hope this helps!

Answer:

y = one eighth x^2 + 1

Step-by-step explanation:

i took the test and got it right

Answer:

Number of cookies sold in March= 46

Number of cookies sold in April= 92

Step-by-step explanation:

Number of cookies made in Feb= 2×14= 28

Number of cookies sold in Feb= 28-5= 23

Number of cookies sold in March= 2× number of cookies sold in Feb

Number of cookies sold in March= 2× 23= 46

Number of cookies sold in April= 46×2= 92

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

prime factorising 50 inside root,

[tex]\sqrt{50}[/tex]=[tex]\sqrt{5*5*2}[/tex]

      5*5 is a perfect square

    So root of 5*5(or 25) is 5.

Hence 5 comes outside and 2 remains in bracket.

=5[tex]\sqrt{2}[/tex]

Answer:

976 cm^2.

Step-by-step explanation:

The surface area consists of 2 congruent triangles + 2 congruent sloping rectangles  + a rectangular base.

Area of the 3 triangles 1/2*base*height * 2

= base * height

= 14*24 cm^2

Area of the 2 rectangles = 2*25 * 10

= 20*25 cm^2

Area of the base = 14 * 10 cm^2

So total surface area = 14*24 + 20*25 + 14*10

= 976 cm^2.

Answer:

Side a is 35/5=7 inches long

Side b is 30/5=6 inches long

Side c is 15/5=3 inches long

Answer:

Step-by-step explanation:

Find the sketch of the triangle attached.

Area of the triangle = [tex]\frac{1}{2}|PQ| |PR| sinQPR[/tex]

Given PQ = 20, PR = 12 and ∠QPR = 68°

Area of the triangle = 1/2 * 20 * 12 * sin68°

Area of the triangle = 120sin68°

Area of the triangle = 112.26 square units

Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)

Answer:

111.3

Step-by-step explanation:

Answer:

EF = 6

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(4+2x) * 4 = (5+x) * 5

Distribute

16+8x = 25+5x

Subtract 5x

16+3x = 25

Subtract 16

3x = 25-16

3x = 9

Divide by 3

x = 9/3

x=3

We want EF

EF = 2x = 2*3 = 6

Answer: yes this statement is true All functions are relations,but not all relations are functions.

Step-by-step explanation:

Its true because if you think of it like this

a function is a output and like the inner circle

and relations is the outer circle.

Hope this helps :)

Answer:

54.56

Step-by-step explanation:

Given:

Mean, u = 48

Standard deviation, [tex] \sigma[/tex] = 4

Test score = 5%

Required:

Find the raw score, X.

Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.

Thus, [tex] Z_0_._9_5 = 1.64[/tex]

To get X, use the formula:

[tex] mu + z * \sigma [/tex]

= 48 + (4 * 1.64)

= 48 + 6.56

= 54.56

The anxiety test score that would put someone in the top 5% is 54.56

Answer:

[tex] {3x}^{2} + 2x[/tex]

Solution,

[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]

hope this helps...

Good luck on your assignment..

Answer:

3x²+2x

Step-by-step explanation:

=> x(3x+2)

Using distributive property

=> (x*3x)+(x*2)

=> 3x²+2x

Answer:

X = 2

Step-by-step explanation:

Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.

Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]

By substituting the measures of the sides in the expression,

[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]

15(x + 10) = 180

x + 10 = 12

x = 12 - 10

x = 2

Therefore, for the given similar triangles value of x = 2

Answer:

£160.

Step-by-step explanation:

Mario receives 3 / (4+3+9) = 3/16 of the money.

So by proportion the total amount of money

=  96 * 16/3 = £512

So Rachel receives  4/16 = 1/4

= 512 / 4

= £128.

- and Sanjit receives 9/16

= 512 * 9/16

= £288

The difference is 288 - 128 = £160.

Answer:

The answer is y = -4x + 5 because this line is the only line that has a negative slope. We know because the other lines have slopes of 4, 1/4 and 4.

Answer:

answer A

Step-by-step explanation:

Hello,

[tex](fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11[/tex]

so the correct answer is A.

hope this helps

Answer:

A.  6x + 11.

Step-by-step explanation:

(f o g)(x)

We replace the x in f(c) by g(x) and simplify:

= 3(2x - 1) + 14

= 6x - 3 + 14

= 6x + 11.

Answer:

Step-by-step explanation:

1. The end time on the graph is 150 minutes. That is ...

  (150 min)(1 h)/(60 min) = (150/60) h = 2.5 h

It took Bella 2.5 hours to reach the grocery store.

__

2. Bella is stopped at the places in the curve where the vertical coordinates are not changing. That is, where the graph is horizontal. The total time that the graph is horizontal is 10 min + 20 min = 30 min.

Bella was on the phone for 30 minutes.

__

3. Bella walked 5 km in the first 50 minutes, 2 km (toward home) in the next 20 minutes, and 3 km in the last 60 minutes before she got to the grocery store. Her total distance was ...

  5 km + 2k + 3 km = 10 km

Bella traveled a total of 10 km.