what number is 3/4 of the way between -5 and 11 on the number line

Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Answer:

A.) y = -7/4x - 7

Step-by-step explanation:

The line's slope is -7/4 and its y-intercept is located at the point (0, -7).

Answer:

F'(-3) = 18

Step-by-step explanation:

Let g(x) = u and apply the chain rule

\(F(x)=f(g(x))=f(u)\\F'(x)=\frac{df(u)}{du}\)

\(\frac{du}{dx}=g'(x)\)

\(\frac{df(u)}{du}*\frac{du}{dx} = \frac{df(u)}{dx}\\F'(x)= \frac{df(u)}{du}*g'(x)\\F'(x)= f'(u)*g'(x)\\F'(x)= f'(g(x))*g'(x)\)

We now have all of the necessary definite values to solve the expression for x= -3:

\(F'(-3)= f'(g(-3))*g'(-3)\\F'(-3)= f'(-4)*6\\F'(-3)= 3*6\\F'(-3)= 18\)

Finally, we have that F'(-3)= 18.

Answer:

8/12

Step-by-step explanation:

Answer:

range of g(x):  (- ∞, 0)

Step-by-step explanation:

In the absolute value function, the value of a determines whether the graph opens up or down, as well as the wideness or narrowness of the graph. A positive value for a implies that the graph opens up, and is narrower than the parent function, f(x) = |x|.

Given that a < 0 for the function, g(x) = a|x|, then it means that it is a downward-facing parabola, and its maximum point is the vertex. This implies that the y-values will be 0 at most.

Therefore, the range of the function, g(x) is (- ∞, 0).

Answer:

×=64

I HOPE IT CAN HELP:(

The price of a mansion is $1.00 in 2013.

What is difference between a nominal and real variable?

Nominal variables are expressed in money or dollar terms, whereas the real variable compares the wage earned per hour to the basket of goods or services that it can purchase.

In comparing the wage earned per hour to 2 comic books, since the two would cost $12,that explains real variable, which is not required in this case.

However, comparing the the wage of $12 per hour to the price of mansion, which is $1 per one, indicates nominal variable.

In essence, the correct option in this case is that price of a mansion is $1.00 in the year 2013.

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Answer:

8786

Step-by-step explanation:

123,000/14 = 8786  Since it is about, I rounded to the nearest whole number.

With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

First analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.

Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let

An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be

A = I( 1 - R%)^t

Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula

A = 0.9 ( 1 - 1.15/100)^60

A = 0.9 ( 1 - 0.0115)^60

A = 0.9 ( 0.9885)^60

A = 0.9 x 0.4995

A = 0.45 grams

Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

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Answer:

\(b.\ cos 70 =\dfrac{4}x\) is the correct answer.

Step-by-step explanation:

First of all, let us label the diagram as shown in the attached figure.

OR = 20'

QS = 16'

\(\triangle OPQ\) is the right angled triangle that we get.

\(\angle P=90^\circ\)

\(\angle O =70^\circ\)

From the given figure symmetry, we can clearly see that:

Side OP = OR - QS

OP = 20 - 16 = 4'

Now, let us use trigonometric identity of cosine in \(\triangle OPQ\).

\(cos\theta = \dfrac{Base}{Hypotenuse}\)

\(cosO= \dfrac{OP}{OQ}\\\Rightarrow cos70^\circ= \dfrac{4}{OQ}\)

Let the distance of ramp, OQ = x'

So, the above ratio becomes:

\(cos70^\circ= \dfrac{4}{x}\)

So, the correct answer is:

\(b.\ cos 70 =\dfrac{4}x\)

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer: A. Linear

Step-by-step explanation:

check the slope between the moving points

slope between (–6, 4) & (–4, 0) = 1

slope between (-4, 0) & (–3, 4) = 1

slope between (-3, 4) & (-1, -7) = 1

the points are collinear and make an angle of 45 degrees with the x-axis

we can have an equation of a line passing through (-6, 4) and slope 1 as

(y + 1) = 1(x + 6)

y = x + 5 is your linear model mostly

w is equal to 99 cause is u subtract 33 fro it it equals 66

Answer:

W = 99

Step-by-step explanation:

To solve W, you need to isolate W. Add 33 to both sides:

W-33=66

W=99

Case 1

Case 2

Option A

It's impossible thing

Answer:

- 1/9

Step-by-step explanation:

So when you want to multiply fractions, you first one to simplify everything, and then multiply the top row and the bottom row:

- 2/3 * 1/6 <-- in this expression, we can simplify the 2 and the 6 to become a 1 and a 3 so:

- 1/3 * 1/3: Now we want to multiply the 1 and 1 and the 3 by 3:

1 * 1 = 1; 3 * 3 = 9;

1/9 is actually not our answer yet. We still have to add the negative to it so:

- 1/9 is your answer

Hope this helps! <3

Answer:

-1/9

Step-by-step explanation:

Given problem,

→ (-2/3) × (1/6)

Let's solve the problem,

→ (-2/3) × (1/6)

→ (-2 × 1)/(3 × 6)

→ -2/18 = -1/9

Thus, the answer is -1/9.

Answer:

3rd Option: -1(x + 15)

Step-by-step explanation:

When we factor our a negative 1, we take the opposite signs of what is given:

-1(x + 15)

To check, we simply just redistribute to check if it matches the original expression:

-x - 15

So the 3rd option is the correct choice.

Answer:

It's the third option (it's correct with you)

Step-by-step explanation:

- X - 15

So here we should the common factor between - x and - 15, where it is - 1 because both of these have minus in common.

Then the answer is:

-X - 15

= - 1 ( x + 15)

Hope this helps you..

Good Luck!

Answer:

28 because 116÷4=29 so she traveled 28 miles per hour

Answer:

Sarah drove 29 miles per hour.

Step-by-step explanation:

116 divided by 4 is 29.

Approx. 68.27% of uncooked hotdogs weigh between 1.24 ounces and 1.46 ounces.

Now, For the values of 1.24 ounces and 1.46 ounces using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, σ is the standard deviation, and z is the corresponding z-score.

Hence, We get;

For 1.24 ounces:

z = (1.24 - 1.35) / 0.11

z = -1

For 1.46 ounces:

z = (1.46 - 1.35) / 0.11

z = 1

Now, For standard normal distribution table (or a calculator) to find the area under the standard normal curve between z = -1 and z = 1.

This area represents the proportion of uncooked hotdogs that weigh between 1.24 ounces and 1.46 ounces.

Hence, From the table, we find that the area between z = -1 and z = 1 is 0.6827.

Therefore, 68.27% of uncooked hotdogs weigh between 1.24 ounces and 1.46 ounces.

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None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

\(-\frac{28}{99}\)

Step-by-step explanation:

To divide a fraction by a fraction, flip the second fraction and change the divide sign into a multiplication sign.

\(\frac{4}{9}\div -\left(\frac{11}{7}\right)=\frac{4}{9} *-\frac{7}{11}\)

Multiply:

\(-\frac{4*7}{9*11}\)

\(-\frac{28}{99}\)

Answer:

63

Step-by-step explanation:

180-117=63

Answer:

63° (Corresponding angles)

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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The zeroes of the polynomial  f(x)= x³ - 4x² + x + 6 = 0 are x - 1, x = 2
and x = 3.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, f(x)= x³ - 4x² + x + 6 = 0.

Now, zeroes of the polynomial should be factors of 6 they are ±1, ±2. ±3, ±6.

Now at x = 1 f(x) = 4 so not a zero, at x = - 1, f(x) = 0 so x = - 1 a zero

at x = 2 f(x) = 0 so x = 2 is a zero,

at x = 2 f(x) = so x = 3 is a zero.

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