How much is the product of
14 and 16 less than 290

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

6

Step-by-step explanation:

Its 6 or 4, but leaning toward 6

3 of the 25 customers named vanilla, option C is correct.

percentage, a relative value indicating hundredth parts of any quantity.

Given that an An ice cream shop chose 25 customers at random and asked each to name a favorite flavor.

Butterscotch - 16%

Vanilla - 12%

Mint Chocolate Chip -28%

Strawberry-20%

Cookies and cream-24%

We have to find the number of customers named vanilla

Let us find 12% of 25

12/100×25

0.12×25

We get 3

Hence, 3 of the 25 customers named vanilla, option C is correct.

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Answer: 46 ft by 92 ft

Step-by-step explanation:

The largest area is enclosed when half the fence is used parallel to the wall and the other half is used for the two ends of the fenced area perpendicular to the wall. Half the fence is 184 ft/2 = 92 ft. Half that is used for each end of the enclosure.

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Answer:

y=50+45x.

Step-by-step explanation:

It says  $50 plus $45 So add them and x represents the hour so y=50+45x

Answer:

Yes,Linear

Step-by-step explanation:

Find the degree of the equation to determine if linear.

Answer:

The y-axis is upside down, meaning that instead of the values increasing as they go up, they decrease.

Answer:

True

Step-by-step explanation:

Answer is true, the degree of a function tells you at most how many zeroes the function can have.

Answer:

First option pays $480.60 in interest and the second option pays $442.84 in interest

Step-by-step explanation:

The equation of the line is y = -11x + 232

The given parameters are:

Slope (m)= -11

Point (x1, y1) = (31, -109)

The linear equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -11(x - 31) - 109

Evaluate the product

y = -11x + 341 - 109

Evaluate the like terms

y = -11x + 232

Hence, the equation of the line is y = -11x + 232

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Answer: 78 floors total

Step-by-step explanation:

if 13=1/6

6 x 13=78

Answer:

13*6=78

Step-by-step explanation:

If one part of something is equal to 13, then 6 parts are equal to 13*6. Let us denote that "something" by x, and we get

\(x = 6 \times \frac{1}{6} x = 6 \times 13\)

Which is obviously an identity

The decay constant for the plutonium is - [ln (0.5 ) / 6300].

option C.

The decay constant for the plutonium is calculated by applying the following formula.

The given function for the radioactive decay;

\(Q(t) = Q_0e^{-kt}\)

where;

The decay constant for the plutonium is calculated as;

k = ln(2) / T½

k = ln(2) / 6300

k = ln(0.5⁻¹) / 6300

k = - [ln (0.5 ) / 6300]

Thus, the decay constant for the plutonium is - [ln (0.5 ) / 6300].

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Answer:

72

Step-by-step explanation:

circumference = 20

arc = 4

4/20 =1/5

a circle = 360°

1/5 * 360 = 72

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

0.0929

Step-by-step explanation:

thats the answer

Answer:

What is that?

Step-by-step explanation:

Answer:

Sure I do not know how to join others tho and I don't have wifi sadly :(

Step-by-step explanation:

The standard form of the equation of the circle is (x+3)²+(y-4)²=9 .

The slope of the line is

A circle is defined as the locus of a moving point which is always equidistant from a given point.

The given point on the circle is  (-3, 4) and the radius is 3 units.

Hence the standard form of the equation of the circle is :

(x-{-3})²+(y-4)²=3²

or,  (x+3)²+(y-4)²=9

Let the two given two points as A(-8, -12) and B(1, 24).

Now the slope of the line AB can be calculated by the formula:

\(m=\frac{y_2-y_1}{x_2-x_1}.\)

Now let us put the given values in the equation to calculate slope:

\(m_{AB}=\frac{24-(-12)}{1-(-8)}\\\\or, m_{AB}=\frac{36}{9} \\\\or, m_{AB}=4\)

Hence the slope of the line is 4.

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Answer:

2 b + a

Step-by-step explanation:

Simplify the following:

2 (a + 2 b) - a - 2 b

2 (a + 2 b) = 2 a + 4 b:

2 a + 4 b - a - 2 b

Grouping like terms, 2 a + 4 b - a - 2 b = (4 b - 2 b) + (2 a - a):

(4 b - 2 b) + (2 a - a)

4 b - 2 b = 2 b:

2 b + (2 a - a)

2 a - a = a:

Answer: 2 b + a

Answer:

use photomath and if that dont work use m a t h w a y

Step-by-step explanation:

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Answer:

357.50$

Step-by-step explanation:

550 x 35% =192.50$

550 - 192.50 = 357.50$

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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The value of fraction will be;

⇒ 101/24

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

⇒ 7/8+ (-2/3) - (-4)

Now,

Since, The expression is,

⇒ 7/8+ (-2/3) - (-4)

Simplify as;

⇒ 7/8 - 2/3 + 4

⇒ (21 - 16)/24 + 4

⇒ 5/24 + 4

⇒ (5 + 96) / 24

⇒ 101/24

Thus, The solution is,

⇒ 101/24

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Answer:

6.

Step-by-step explanation:

To solve for x, you need to isolate x on one side of the equation by adding 4 to both sides. This gives you:

x - 4 + 4 = 2 + 4

x = 6

To check your solution, you can plug in x = 6 into the original equation and see if it is true.

6 - 4 = 2

2 = 2

This is true, so x = 6 is the correct solution.

Answer:

y = 5/6x + 5

Step-by-step explanation:

The line intercepts the y-axis at 5, and moves up along the y 5 spaces for every 6 spaces moved to the right on the x-axis

Answer:

\(y=\frac{5}{6} x + 5\)

Step-by-step explanation:

We are given a line on a graph

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept

The y intercept is the point at where the line intersects the y axis. The value of x at this point is 0

We can see this point on our graph - it is the point (0, 5)

As b is the value of y at the y intercept, b is equal to 5.

Now we need to find the slope

We can find the slope using the graph - we just count the number of spaces it takes for one point to get to another. It's easier to do this with clear points, whose values are whole numbers. For example, the point (0,5), and (6, 10) (which is also on the line)

So, starting from (0, 5), count how many spaces it takes to get to a x value of 6 - there are 6 spaces between 0 and 6

Now, starting from (6,5) (this is the point we should be at after moving 6 spaces to the right), count up to get to (6, 10) (i.e. count to get to a y value of 10) - there are 5 spaces between 5 and 10

The slope is calculated with the formula rise/run, where rise is the difference between the y values of the coordinates (in this case, 5), and run is the difference between the x values of the coordinates (in this case, 6)

So the slope would be 5/6

All together, the equation of the line will be:

\(y=\frac{5}{6}x + 5\)

Answer:

\((C)\dfrac{1}{4}\)

Step-by-step explanation:

In a standard deck,

The table below gives the distribution of the cards.

\(\left|\begin{array}{c|c|c|c}&$Club&$Not a club\\----&----&---&----\\$Face card&3&9&12\\$Not a face card&10&30&40\\----&----&---&----\\$Total&13&39&52\end{array}\right|\)

\(P($Club$ | $Not a Face Card)$=\dfrac{10}{40}\\ =\dfrac{1}{4}\)

The correct option is C.

The point estimate of the population mean is 30 and margin of error for the confidence interval with lower bound 25 and upper bound 35 is 5.

Point Estimate = Upper bound + Lower bound /2

Point Estimate = 35 + 25 /2

Point Estimate = 60/2

Point Estimate =30

Margin of error = Upper bound − Lower bound /2

Margin of error =  35 -25/2

Margin of error = 10/2

Margin of error =5

Therefore the  point estimate is 30 and the margin of error is 5.

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Answer:

m= -20

Step-by-step explanation:

subtract 12 from both sides