Which equation is equivalent to
\( {4 }^{x + 3} = 64\)
= 64?​

Answer:

(\(a^{2}\) + 9 ) × (2\(a^{2}\) + 1)

for the first one try two but im not sure

Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

The smallest distance of the line to the point is of:

5.36 units.

Suppose the line is defined as follows:

ax + by + c = 0.

The coordinates of the points are as follows:

(x0,y0).

Then the shortest distance of the point to the line is:

D = |a(x0) + b(y0) + c|/sqrt(a²+b²).

In this problem, the line goes through these two points:

(2/7, 3) and (-2,11).

The slope is given by the change in y divided by the change in x, hence:

m = (11 - 3)/(-2 -2/7) = -3.5.

Then:

y = -3.5x + b.

When x = -2, y = 11, hence the intercept is calculated as follows:

11 = -3.5(-2) + b

11 = 7 + b

b = 4.

Then the line is:

y = -3.5x + 4.

3.5x + y - 4 = 0. (standard format, a = 3.5, b = 1).

The coordinates of the point are as follows:

(x0,y0) = (-3,-5).

Then the shortest distance is:

D = |3.5(-3) + 1(-5) - 4|/sqrt(3.5²+1²).

D = 19.5/sqrt(3.5²+1²).

D = 5.36 units.

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Answer:

2 x 2+ 8 x 0= 4

Step-by-step explanation:

Answer:

c.16

hope this helps some one, have a nice day :)

Step-by-step explanation:

i just took the quiz and got it correct

Answer: Hi!

Row A: 7, 11, 15, 19, 23

Row B: 51, 42, 33, 24, 15

Row C: 4, 8, 16, 32, 64

Row D: 64, 32, 16, 8, 4

(If you notice, Row C and Row D are just swapped in order!)

Hope this helps!

Hi there! Hopefully this helps!

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

A's rule, add 4: 7, 11, 15, 19, 23

B's rule, Subtract 9: 51, 42, 33, 24, 15

C's rule, Multiply by 2: 4, 8, 16, 32, 64

D's rule, Divide by 2: 64, 32, 16, 8, 4

Answer:

They walk a total amount of 819 laps.

Answers:

25. a

26. b

27. c

28. a

29. d

30. d

Step-by-step explanations:

25.

\(C = 2\pi r = 2*\frac{22}{7}*\frac{d}{2} = \frac{22}{7}*d = \frac{22}{7} * 42 = 22 * 6 = 132\)

26.

It's the net of a cone

27.

It's the net of a prism (triangular prism)

28.

\(V = a^{3}\)

\(V = 1000 cm^{3}\)

\(a = \sqrt[3]{1000} = 10\)

29.

\(v = \frac{d}{t} = \frac{850}{25} = 34\)

30.

\(V = 25*10*8 = 2000 cm^3\)

Answer:

its not A just took the test

Step-by-step explanation:

The effect this scale factor has on the volume is that the volume will be 64 times larger. The correct option is B.

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called a scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k².

to get each other corresponding quantities from their similar figures' quantities.

So the area of the first figure = k² × area of the second figure

Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

The volume of the first figure = k³ × volume of the second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Since the volume is the product of three linear quantities.

Therefore, if the scale factor of 4 is applied to the given prism then the volume of the prism will grow by 4³. Thus, we can write,

The volume of the scaled prism = 4³ ×Volume of the original volume

The volume of the scaled prism = 64 ×Volume of the original volume

Hence, the effect this scale factor has on the volume is that the volume will be 64 times larger.

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Mu X is a statistical concept used to measure the difference between two means.

It is calculated by subtracting the mean of one group from the mean of another group. Mu X is often used to compare the means of two or more groups, or to compare the means of two subgroups within a group. It can also be used to measure the relative size of a group's mean compared to the grand mean or the size of a group's mean compared to the mean of another group. Mu X is a useful tool for distinguishing between true and false differences between two means. It is also useful for understanding the relative importance of different factors in a study. Mu X is sometimes referred to as the difference in means or the mean difference, and it is an important concept in inferential statistics.

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Answer:

−45.54

Step-by-step explanation:

Just took the test

The residual for the shopper will be equal to -45.54. Hence, option C is correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data provided in the question,

The given equation is,

y = 275.3 + 90.7 x

Here, x is the number of trips and y is the total monthly expense.

Then,

Shopper monthly cost = $520

Number of visits by the shopper in a month = 3.2

So, the residual for the shopper will be,

$520 = 275.3 + 90.7 (3.2)

$520 = 275.3 + 290.24

= -45.54

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Answer: 8 weeks

Step-by-step explanation:

The option that describes the Coriolis effect is D. the direction of air currents in the Northern and Southern Hemispheres.

The effect of the Earth's rotation on weather patterns and ocean currents is known as the Coriolis effect. Storms swirl clockwise in the Southern Hemisphere and counterclockwise in the Northern Hemisphere due to the Coriolis effect. Circulating air is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as the Earth rotates on its axis. The Coriolis effect refers to this deflection.

The rotation of the Earth causes the Coriolis effect. Moving objects in the Northern Hemisphere tend to curve to the right of their intended paths; moving objects in the Southern Hemisphere tend to curve to the left of their intended paths. The Coriolis effect causes moving objects to accelerate or decelerate.

Therefore, based on the information given, it should be noted that the correct option is D.

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Answer:

-6x-3

Step-by-step explanation:

Answer:

the ans is in the picture and how i got the ans thg hope it helps

(can i plz have brainlist it will make my day )

Step-by-step explanation:

The expression using brackets is (3x)(x⁴) + (2)(2) = 26

From the question, we have the following parametes that can be used in our computation:

7x5-4x5+16÷4=26

Express the superscripts in the expression properly

So, we have the following representation

7x⁵ - 4x⁵ + 16 ÷ 4 = 26

Evaluate the like terms

3x⁵ + 16 ÷ 4 = 26

Divide 16 by 4

3x⁵ + 4 = 26

Factorize and use brackets

(3x)(x⁴) + (2)(2) = 26

Hence, the expression is (3x)(x⁴) + (2)(2) = 26

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Answer:

4. 5. 3. are correct im pretty sure

Step-by-step explanation:

Statements 1, 2, and 3 about f(x) and g(x) are "true".

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.

x  : 1   3   5   7   9

g(x): 3  7   11   15   19

Here the slope of the function g(x) is 2.

This means statements 1 and 2 are false because slopes are different.

To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.

Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.

The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.

To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.

Therefore, the true statements are 2, 3, and 4.

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Answer:

Below in bold.

Step-by-step explanation:

To do this we keep dividing by successive primes, using the lowest prime that divides exactly.

2) 12600

2) 6300

2) 3150

3) 1575

3) 525

5) 175

5) 35

7        <---we end up with a prime number so tha's the end of the process

So, 12,600 = 2*2*2*3*3*5*5*7 or 2^3*3^2*5^2*7.

Answer:

  C.  4x²√(3x)

Step-by-step explanation:

You want to simplify √(48x⁵).

Square root expressions can be simplified by removing perfect squares from under the radical:

  \(\sqrt{48x^5}=\sqrt{16x^4\cdot3x}=\sqrt{(4x^2)^2}\cdot\sqrt{3x}=\boxed{4x^2\sqrt{3x}}\)

Answer:

The answer is 14.5

Step-by-step explanation:

The algebraic laws for the given expressions are Identity Law and Zero Law

The algebraic laws for the given expressions are:

A.1 = A: (Identity Law)

This law states that any variable or expression multiplied by 1 remains unchanged. In this case, A multiplied by 1 is still A.

A.0 = 0 (Zero Law)

This law states that any variable or expression multiplied by 0 equals 0. In this case, A multiplied by 0 equals 0.

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Answer: Use a variable

w

to represent the width of the room.

From the given information find that

10

w

=

80

, hence

w

=

8

.

So the room is

8

meters by

32

meters.

Explanation:

Let

w

represent the width of the room in meters.

Then the length of the room is

4

w

.

So the perimeter of the room is

w

+

4

w

+

w

+

4

w

=

10

w

.

Given that the perimeter is

80

meters, that translates as:

10

w

=

80

Divide both sides by

10

to get

w

=

8

.

Hence the width of the room is

8

meters and the length is

4

w

=

32

meters.

Step-by-step explanation:

The dimensions of the room are 5 meters long and 5 meters wide.

The perimeter of a rectangular room is equal to twice the sum of its length and width. In this case, the perimeter of the rectangular room is equal to 2 x (length + width) =  10 meters.

Therefore, we can write:
2 x (L + W) = 10

To find the dimensions of the room, we need to solve the equation for L and W.
L + W = 5
L = 5 - W

Substitute this equation for L in the original equation:
2 x (5 - W + W) = 10
2 x (5) = 10
10 = 10

Therefore, L = 5 and W = 5, so the dimensions of the room are 5 meters long and 5 meters wide.

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The equations can be solved in the following manner. As shown below.

The equations can be solved in the following manner. As shown below.

1.  Multiplication Property of Equality

10a + 35b = 0, 21a - 35b = 217            

2.  Addition Property of Equality

31a = 217

3.  Division Property of Equality

a = 7

4.  Substitution Property of Equality

2(7) +7b = 0

5.  Simplify

14 + 7b = 0

6.  Subtraction Property of Equality

7b=-14

7.Division Property of Equality

b= -2

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Step-by-step explanation:

1. Divide each term by  "a,"  and simplify.

c + b = d/a

2. Subtract "b"  from both sides of the equation.  

c = d/a - b

Answer:

5 2/3

Step-by-step explanation:

3x-4=13

    +4  +4

Add 4 to -4 and 13.

If you add a positive # to a negative one you get a positive number so -4+4 is 0

3x=17

divide 3 and 17

you get 5 2/3

Answer:

10% chance it is a black summer sock

Step-by-step explanation:

it total there are 40 different socks and only 4 are black summer socks

4/40 = 0.1 or 10%

Answer:

option 2

Step-by-step explanation:

its easier because you can transfer the y to the other side and it gets easier.

2x = -10y

x = 2/-10 y

x = -5y

Answer:

2x + y = -10

Step-by-step explanation:

2x + y = -10

y = -2x - 10

This can then be substituted for y, for the first equation.

The correct is option c) meridian. The measures of central tendency are used to describe the middle or typical value of a dataset. Mean, median, and mode are the most common measures of central tendency.

Mean is the arithmetic average of a set of values, median is the middle value in a set of values, and mode is the most frequently occurring value in a set of values. These measures are used to summarize the characteristics of a dataset in a single value. On the other hand, the term "meridian" does not refer to a measure of central tendency. It is a term used in geography and navigation to refer to a line of longitude on a map or globe.

In conclusion, meridian is not a measure of central tendency, and mean, median, and mode are commonly used measures of central tendency in statistics.

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Answer:A

Step-by-step explanation: It never talks about 50 so i don't know why that is there so I think it is A because 21 dollars is more than 5+2.75, (not 100% sure but at least 85% sure)

Answer:

A

Step-by-step explanation:

The reason that this is A is because 5$ is the initial fee and you dont pay any more than that, since 21$ is the max you can afford it is going to be less than or equal to 21. and if it is 2.75$ per stop then it is the number of stops times 2.75. A is your answer.

edit: and the 50 kilometers doesnt have any value in the situation so basically it was just there to confuse you or throw you off.

Okay, here we have this:

Considering the provided equation, we are going to rewriting it into slope-intercept form. So we obtain the following:

6x+2y=6

2y=-6x+6

y=(-6x+6)/2

y=-3x+3

Finally we obtain that the equation of the line is slope-intercept form is y=-3x+3. Then replacing in y=mx+b, we have:

y=-3x+3

y=mx+b

Then, m=-3 and b=3.