Find the inequality represented by the graph

Answer:

12

Step-by-step explanation:

According to the solving the exponential form of the given number is as follows:

= 6² × 7⁴

= (-104)³

Bases and powers are employed in the exponential form to write numbers. It informs us of the amount of times we must actually multiply a number in order to obtain the answer. When we write the number 125 as 53, for instance, we can see that it is the third power of 5, or the number 125, which looks to be a typical three-digit number when observed.

When a single integer is multiplied by itself a certain number of times, x, the equation y takes on the base component b to the power of x, which is the quantity being multiplied, and is known as the exponential form.

The exponential form of the given number is :

= 6х6х7х7x7x7

= 6² × 7⁴

The exponential form of the given number is :

= -104 x -104 x -104

= (-104)³

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Answer: 21

Step-by-step explanation: sorry if I'm wrong but it should be 21

Answer:

The weight of one baseball (0.3 pounds), ken should shade 3 Square box.

The weight of all the seven baseball (2.1pounds), he should shade this amount seven times.

The shaded part of the model will represent the expression 0.3 × 7

The total weight of the baseball is 2.1 pounds.  

Given that ;

Ken has no. of baseballs = 7

And each baseball have a weight is = 0.3 pounds

By unity method;

If 1 ball = 0.3 pounds

Then, 7 baseball = 7 × 0.3 pounds

So, 7 baseball = 2.1 pounds

Then, the total weight of the 7 baseballs is 2.1 pounds.

As per given in the question ;

We want to use the box to represent this data given in the following question .  

Since, the weight of the baseball is in decimal points

Let 0.1 pounds be 1 Square box.

The weight of one base ball (0.3 pounds), ken should shade 3 Square box.

Since 1 pounds is 1 Square box.

The weight of all the seven base ball (2.1pounds), he should shade this amount seven times.

This means that he need to shade 3 square box seven times. This shows that the amount used in the second part of the question means by how much must the square be shaded compare to question .  

The shaded part of the model will represent the expression 0.3 × 7 = 2.1

The total weight of the baseball is 2.1 pounds.

Perriodtt

Step-by-step explanation:

The length of z in the triangle is 97 inches.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the side z of the triangle XYZ using sine law as follows:

a / sin A = b / sin B = c / sin C

Hence,

500 / sin 117 = z / sin 10

cross multiply

500 sin 10 = z sin 117

divide both sides by sin 117

z = 500 sin 10  / sin 117

z = 86.8240888335 / 0.89100652418

z = 97.4410774411

Therefore,

z = 97 inches

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Answer:

3.16 square units

Step-by-step explanation:

Find the area of the triangle with vertices: Q(-5,5,-3), R(-6,8,-4), S(-8,2,-4).

Step 1

We find QR and QS

QR = R - Q

= R(-6,8,-4) - Q(-5,5,-3)

= (-1, 3, -1)

QS = S - Q

= S(-8,2,-4) - Q(-5,5,-3)

= (-3, -3, -1)

Step 2

QR × QS

(-1, 3, -1) × (-3, -3, -1)

Using the formula:

a x b = (a2b3 – a3b2)i + (a3b1 – a1b3)j + (a1b2 – a2b1)k

Where a = (a1, a2, a3)

b = (b1, b2, b3)

QR = a

QS = b

(-1, 3, -1) × (-3, -3, -1)

a x b = (a2b3 – a3b2)i + (a3b1 – a1b3)j + (a1b2 – a2b1)k

= ((3 × -1) – (-1×-3))i + ((-1)×-3) – (-1) × -1)j + (-1 × -3) – (3×-3)k

= (-3 - 3)i + (3 – 1)j + (3 – 9)k

= 0i + 2j - 6k = (0,2,-6)

QR × QS = (0,2,-6)

Area of the triangle = √0² + 2² + 6²/ 2

= √0 + 4 + 36/2

= √40/2

= 6.324555320336759 /2

3.1622776602 square units

Approximately = 3.16 square units

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Surface area of the cone = 90π

Volume of the cone = 100π Option C

Surface area of a cone is the complete area covered by its two surfaces, i.e., circular base area and lateral (curved) surface area.

The circular base area can be calculated using area of circle formula.

The lateral surface area is the side-area of the cone.

πr(r + l)

where r = radius of circle

l = slanted height.

area = 5π(5 + 13)

area = 5π(18)

Area = 90π

Volume of a cone

A cone is a solid that has a circular base and a single vertex.

To calculate its volume, we need to multiply the base area (area of a circle: π × r²) by height and by 1/3:

volume = (1/3) × π × r² × h

Base area = 25π x 12 x 1/3

= 100π

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Answer:

The average speed here is 60 mph.

Step-by-step explanation:

We need to express the unit rate here.  That's the speed, which is defined as (distance) / (time):

                       1 mile

speed s(t) = ----------------

                       t (min)

We need to convert the unit of time (min) to the new unit of time (hrs):

                       1 mile           60 min

speed s(t) = --------------- * -------------- = 60 miles/hr = 60 mph

                       t (min)             1 hr

The average speed here is 60 mph.  This is not dependent on time, t, so we cannot calculate s(10) or s(12).  Because of this, s(t) = 60 mph.  The distance traveled in t hours is d(t) = s(t)*t.

Answer:  -47/36  

Step-by-step explanation:

3/2y-14/3x

as x=3 and y=6

3/2(6)-14/3(3)

3/12-14/9

1/4-14/9

9-56/36

-47/36

Answer:

- 5

Step-by-step explanation:

\(\frac{3}{2}y-\frac{14}{3}x\)

\(\frac{3}{2}(6)-\frac{14}{3}(3)\)

9 - 14

- 5

The answer is:

-32

Work/explanation:

Remember the integer rule:

\(\blacktriangleright\phantom{333}\sf{a\times(-b)=-ab}\)

In other words, we multiply a positive times a negative which results in a negative product.

Therefore,

8*(-4) = -32

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Answer:

hello! :)

5% of 1000 is 50.

Explanation:

You evaluate the expression.

5% x 1000

Answer: 950 is it

Step-by-step explanation:

Answer:

y=3x-3

Step-by-step explanation:

the required standard error is 6.9 for the sampling distribution.

The standard error of the sampling distribution is given by the formula SE = sqrt( (SD1² / n1) + (SD2² / n2) )

As per the question, we are given that samples of size 51 are drawn from population A with a standard deviation of 5.49, and samples of size 76 are drawn from population B with a standard deviation of 5.06.

Substituting these values into the formula, we get:

SE = √( (5.49² / 51) + (5.06² / 76) )

SE = √( (30.11) + (17.93) )

SE = √(48.04)

SE = 6.9

Therefore, the required standard error is 6.9 for the sampling distribution.

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Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

Answer:

-1.33333 < x

Step-by-step explanation:

subtract 5 from both sides

get -4<3x

divde 3 by both sides

-1.33< x

Hi, there!

 _______

The first step is:

» Subtract both sides by 5

\(\sf{-4 < 3x}\)

Now divide each term by 3:

\(\sf{-\dfrac{4}{3} < x}\)

We can flip it over:

\(\sf{x > -\dfrac{4}{3}}\)

Hope the answer - and explanation - made sense,

happy studying!!

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

6 km

Step-by-step explanation:

1 meter = 1/1000 km

(1 meter = 1/1000 km) x 1000

1000 meters = 1 km

6000 meters = ?

1 x 6000m = 1000 x ?

6000 = 1000 x 6

6000/1000 = 1000 x 6/1000

6 = 6

Both sides divided by 1000 are 6, so the answer is 6 km.

Using the permutation formula, it is found that there are 57,120 ways to fill the 4 positions.

There are different roles, hence the order is important, which means that the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

In this problem, 4 roles are chosen from a set of 17, hence the number of ways is given by:

\(P_{17,4} = \frac{17!}{13!} = 57120\).

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Answer:

-5/6

Step-by-step explanation:

(9, 5) and (21, -5)

slope = m = (difference in y)/(difference in x)

m = (-5 - 5)/(21 - 9)

m = -10/12

m = -5/6

Answer: -5/6

The slope of the line that passes through points (9,5) and (21,-5) is -5/6.

We can use the two-point formula to find the slope for the given line. The formula is as follows:

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

Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.

In the given case:

x1=9, x2=21

y1=5, y2=-5

Using these values in the two-point formula, we get:

(-5-5)=m*(21-9)

-10=m*12

m=-10/12

m=-5/6

Hence the slope of the line is -5/6.

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Answer: D 19/18

Step-by-step explanation: First you have to make a common denominator of 18. 1/9 becomes 2/18. 2/3 becomes 12/18. 5/18 stays the same. Then you have to add the numerators and you get 19/18.

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

90+29√10

Step-by-step explanation:

use binomial multiplication

12(5)-9√10-20√10+15(2)

60-29√10+30

60+30-29√10

90+29√10

Answer:

No

Step-by-step explanation:

The change in the sequence is not consistent therefore it cannot be an arithmetic sequence.

Answer:

The cube root of 27 is expressed as ∛27 in radical form and as (27)⅓ or (27)0.33 in the exponent form.

Have a good day!

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

According to the questions;

Hence, we must subtract 3.912 from both sides of the equation as follows;

s = 1.401

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Answer:

No because Us is powerful country canada is also powerful but U S ever sale to candians