5
一堆
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If log₁/2x = -1, then the value of x is
a) 2
b) 1/2
c)-1

The equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.

The given expressions are 8(t+8) and 8t+8.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, 8(t+8)

Using distributive property a(b+c)=ab+ac, simplify 8(t+8)

That is, 8t+64

Take common factor in 8t+8 is 4(2t+2) and 8t+8=4t+8+4t

Therefore, the equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.

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Answer: Coupon B is more profitable

We can see from the graph that there are 10 buildings that have 10-19 bricks and 2 buildings that have 50-59 bricks. So there are more buildings with 10-19 bricks in the neighborhood.

Answer: 10-19 bricks

the equation you summited is

90÷10+3²-4

Answer:

the answer to the question is 14

Step-by-step explanation:

90÷10+3²-4

Follow the PEMDAS order of operations

3²=9

90÷10+9-4

Multiply and divide from left to right

90÷10=9

9+9-4

Add and subtract from left to right

9+9=18

18-4=14

So the answer to your question is 14

Answer:

perimeter = 2(b x L)

p° 2(2+20)

= 22X2 =44cm

area = B x W

a = 20x 2 =40 cm²

The coordinates of point B =(5,10)

what is coordinates?

Coordinates are a set of values which helps to show the exact position of a point in the coordinates plane.

step - by - step  explanation

5-2 = 3

2-3= -1 = the x coordinate of B

-7-3= -10

-7-10 = -13 = the y coordinate of B

(-1, -13) is the point B

A is 3 to the right of the midpoint ,so B is 5 to the left to the midpoint

A is 10 up from the midpoint so B is 10 down from the midpoint.

so the coordinates of point B is (5,10)

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The given expression is,

So bringing "14" to the other side of the euals,

On division,

Now, let us substitute -5 for n,

Hence checked.

The solution:

The question says Corning planned to make 75,000,000 vials in 2021.

But due to the demand for the vaccine, Corning decided to make d times as many vials.

We are asked to write an expression to find the number of vials Corning will make in 2021.

So, the required expression is:

Therefore, the correct answer is 75000000d vials.

Answer:

x = 5

Step-by-step explanation:

3 + x * 6 = 3 * 11

3 + 6x = 33

6x = 30

x = 5

According to the solving the Probability of the event below is as:

 = 0.8333

Probability is the possibility that an event will occur given all the potential outcomes. A decision-maker considers the likelihood of a result to be important. Decisions will be made better as potential outcomes are better understood.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures as well as the risk of health impacts are related.

The probability of rolling a number less than 6.

There are six sides to the die with numbers on each side of (1, 2, 3, 4, 5, 6)

There is a total of six numbers and five ae below six in value.

So,

P(X < 6) = 5/6

             = 0.8333

According to the solving the Probability of the event below is as:

 = 0.8333

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The  dividends per share for preferred and common stock for each year is year 1 $20,000, $10,000; year 2 $30,000, $0 year 3 $30,000, $15,000.

Year 1

Preference Shares = Number of shares × Par value ×%

Preference Shares = 10,000 ×100 × 2%

Preference Shares = $20,000

Common Shareholders:

Common Shareholders = $20,000 - $10,000

Common Shareholders = $10,000

Year 2

Preference Shares = $30,000

Common Shareholders = $0

Year 3

Preference Shares = $20,000 + ($20,000 - $10,000)

Preference Shares = $20,000 + $10,000

Preference Shares = $30,000

Common Shareholders:

Common Shareholders = $45,000 - $30,000

Common Shareholders = $15,000

Therefore year 1 has the amount of $20,000 as preferred stock and $10,000 as common stock.

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you can do this easily by BODMAS Frist open small bracket and slove it then open curly bracket and solve it at last open third bracket and open it then solve

Remember you should always open divide first then multiply then add and then subtract

Practice it is easy.

Step-by-step explanation:

[tex]28 \div (1 + 2 \times (19 - 16))[/tex]

[tex]28 \div (1 + 2 \times 3) [/tex]

[tex]28 \div (1 + 6)[/tex]

[tex]28 \div 7[/tex]

[tex]4[/tex]

The point (x,y) on the reflection about y = x axis changes to,

Determine the coordinates of the vertices of triangle after reflection.

So vertices of triangle after reflection is,

(3,6), (-3,8) and (-6,-2)

Answer:

10,600 Canadian dollars

Step-by-step explanation:

[tex] \frac{1.06}{1} = \frac{x}{10000} [/tex]

[tex]x = 10000(1.06) = 10600[/tex]

The coordinates of the vertices after the image is rotated about origin will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

Given are the vertices of a figure as → F(1, 2), G(3,5) and H(3, 2).

Since, it is not given in which direction the figure is rotated, we will consider it to be rotated in anti - clockwise direction about the origin. When we rotate a coordinate point by 180 degrees in counterclockwise direction about the origin, then the point A(x ,y) becomes A'(-x ,-y).

The new coordinates will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

Therefore, the coordinates of the vertices after the image is rotated about origin will be -

F(1, 2) → F'(-1, -2)

G(3, 5) → G'(-3, -5)

H(3, 2) → H'(-3, -2)

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So 5/9 is equal to 0.5- so the right answer is

the little line on the top of the number means that this number will be repeated Infinitely is like 0.555555555...

Answer:

28

Step-by-step explanation:

To evaluate this expression, multiply the two numbers.

-7x-4=28

28 is not negative because a negative times a negative is positive.

Hope this helps! :D

The inequality is x > -3

The second choice is the correct answer.

The surface area of a prism of heigh H and base of sides a, b, and c is:

A = PH + 2B

Where P = a + b + c is the perimeter of the base and B is its area.

We can see in the figure a prism of height H = 14 in, base sides of 10 in, 10 in, and 12 in. The height of the base is also given as h = 8 in.

Calculate the perimeter of the base:

P = 10 in + 10 in + 12 in = 32 in

The area of the base is:

Calculate the surface area:

The area is 544 square inches

Step-by-step explanation:

the slope-intercept form is

y = ax + b

a is the slope, b is the y- intercept (the y-value when x = 0).

so, the equation is

y = -5/4 x + 3

Answer:

Percent means parts per hundred.

Step-by-step explanation:

Percent comes from the Latin phrase per centum which means per hundred. The % symbol is used to represent percent.

Example: 54/100 is equal to 54%.

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The height of the water balloon at 15 seconds based on the potential rupturing effect of the balloon's initial gravitational potential energy on the membrane of the balloon upon impact with the ground and that addition forces are not added, is at the ground level or zero feet.

Gravitational potential energy is the energy possessed by a body by virtue of its elevation above ground level.

The points on the path of the water balloon thrown from the building's roof are;

(0, 4), (2, 7), (7, 5), (6, 4), (9, 1), (9.5, 0)

The location of the water balloon, 9.5 seconds after it is thrown off the roof is therefore at the point, h(9.5) = 0 feet, which can be taken as the ground level or base of the building.

According to Newton's third law of motion, which is a physics or natural law, and which states that all bodies remain at rest or continue perpetually in a straight line unless acted upon by a force.

Given that no additional force is specified after the water balloon is thrown from the building, and that a water balloon can be treated as a large drop of water, where the elastic balloon membrane, represents the surface tension holding the large droplet together, we have that the energy of impact of collision of the balloon when it lands, which is obtained from the initial gravitational potential energy of the water balloon, can potentially rupture the membrane, such that the water is spilled and remains on the floor, well after 9.5 seconds, such that at 15 seconds, the height of the balloon remains at ground level.

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we know that

If there is no correlation between x and y, that just means that there's no relationship, connection, or interdependence between the two variables

No correlation means that as the x-values increase, the y-values have no effect

the answer is the option A

Given that 3/4x = 2

What is the slope of the line that passes through the points (9 , -10 ) and (14 , 5)? Write your answer in simplest form.

From inspection on the given problem:

To calculate the slope of the line passing through the given points, we must use the formula below:

Substitute the given values into the slope formula and solve for m:

[tex] \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{5 - (-10)}{14 - 9} = \dfrac{15}{5} = \pmb{3}}[/tex]

Therefore, the slope of the line that passes through the given points is 3.

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In order to find the correlation coefficient r, we can use the formula:

where the sum must be taken upon all 7 values of x and y.

So, let's find each term and then use them in the formula:

Now, we need to use them in the formula to find r:

Finally, round the answer to the 3 decimal places, we find

r = 0.971

By using a calculator,

ln 0.0746 = - 2.596