Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are

Answer:

d = 5.5t

Step-by-step explanation:

Andrew jogs at an average speed of 5.5 miles per hour. He is planning a jog for Saturday morning. How far can Andrew go on his jog? Write an equation for the problem and use the equation to answer the question.

speed = distance / time

speed = 5.5

distance = d

t = time

5.5 = d/t

d = 5.5t

Answer:

d=5.5t

Step-by-step explanation:

Average speed 5.5 per hour

speed= distance/time

speed=5.5

distance=d

T=time

D=5.5t

5.5=d/t

Answer:

If your answer choices are:

0.01d + 0.10p

0.10d + 0.01p

0.11dp

0.11d + p

A dime is 10% of a dollar and a penny is 1% of a dollar, or 0.10 and 0.01

Then 0.10d + 0.01p is the expression

Hope this helps!

Answer:

girls = 20

boys = 15

Step-by-step explanation:

boys = 3/4 x  = .75x

girls = x

x + .75x = 35

1.75x = 35

x = 35/1.75

x = 20

girls = 20

boys = 3/4 * 20 = 15

boys = 15

The other zero of the degree 4 polynomial with rational coefficients, given zeros at 8i, 0, and -2, is -8i, as complex roots occur in conjugate pairs. Therefore, the zeros are 8i, -8i, 0, and -2.

When a polynomial with rational coefficients has a complex root, it always occurs in conjugate pairs. This means that if a + bi is a root, where a and b are real numbers, then its conjugate a - bi will also be a root.

In the given problem, the complex zero 8i is present. Since it is of the form 0 + 8i, we know that its conjugate will be 0 - 8i, which is -8i. Therefore, -8i is also a zero of the polynomial.

In addition to the complex zeros, the problem states that the polynomial has zeros at 0 and -2. These are both real numbers.

Putting it all together, the zeros of the polynomial are: 8i, -8i, 0, and -2.

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Answer: 7 feet

Step-by-step explanation: :D

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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The equation \(x^2 + y^2 + 10y + 20 = 0\) represents a circle with center (0, -5) and radius 5.

To determine if the equation represents a circle, we need to rewrite it in standard form. The standard form of a circle equation is \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle and r represents the radius.

Completing the square for the y terms:

\(x^2 + y^2 + 10y + 20 = 0\\ x^2 + y^2 + 10y = -20\\ x^2 + y^2 + 10y + 25 = -20 + 25\\ x^2 + (y + 5)^2 = 5\)

Now the equation is in standard form, \((x - 0)^2 + (y + 5)^2 = 5^2\), which represents a circle.

By comparing the equation to the standard form, we can determine the center and radius of the circle. The center is given by the values (h, k), which in this case is (0, -5). Therefore, the center of the circle is (0, -5).

The radius is determined by the term \(r^2\), which in this case is \(5^2 = 25\). Therefore, the radius of the circle is 5.

In summary, the equation x^2 + y^2 + 10y + 20 = 0 represents a circle with center (0, -5) and radius 5. The completion of the square allowed us to rewrite the equation in standard form, making it evident that it represents a circle. The center of the circle is determined by the values of x and y, and the radius is determined by the value of r.

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Answer:

\(y=-\frac{5}{9}x+6\)

Step-by-step explanation:

Do what the question says and use the two orange points to figure out the slope of the line. We see that the orange parts are \((x_1,y_1)\rightarrow(0,6)\) and \((x_2,y_2)\rightarrow(9,1)\).

\(Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-6}{9-0}=\frac{-5}{9}=-\frac{5}{9}\)

Since \((0,6)\) is a point on the line of best fit, this means our y-intercept is b=6, making the final equation \(y=-\frac{5}{9}x+6\)

Answer:

12x -7

Step-by-step explanation:

The main lesson of Jeremiah 28 is that rebellion against God is self-destructive.

God is omniscient (all-knowing), omnipotent (all-powerful), and omnibenevolent (supremely good).

Human beings must recognize that God is love, life, truth, and light.

It is sinful to offend God with lies or untruth, or distorting the above attributes of God.

Thus, the lessons from Jeremiah and Hananiah, according to Jeremiah 28,  that one can apply to their own life are to obey, acknowledge, and praise God in all our undertakings, living always in the light of Truth.

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Answer:

48 assistants

Step-by-step explanation:

If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.

Thus:

1.5 assistants to 1 executive = x assistants to 32 executives

1.5 : 1 = x : 32

\( \frac{1.5}{1} = \frac{x}{32} \)

Cross multiply

\( 1.5*32 = x*1 \)

\( 48 = x \)

Therefore, 48 assistants were employed in the office.

Answer:

48

Step-by-step explanation:

To compare the experimental results with the true probabilities, we need to follow the steps outlined in the experiment and analyze the frequency table generated from the Excel data.

In cell A1, enter the formula "=randbetween(1,12)" to generate a random number representing the selected marble.

In cell B1, enter the formula "=IF(A1<4, "B", IF(A1>7, "Y", "G"))" to assign the corresponding color based on the random number.

Copy cells A1:B1 to cells A2:B200 to obtain a sample of 200 experiments.

Select cells B1:B100 (or adjust the range depending on the number of experiments) and create a pivot table to construct a frequency table.

Now, the frequency table obtained from the pivot table will provide the observed frequencies for each color (B, G, Y). We can compare these frequencies with the true probabilities from the probability model.

True probabilities from the probability model:

P(B) = 3/12 = 1/4

P(G) = 4/12 = 1/3

P(Y) = 5/12

Comparing the observed frequencies from the experiment with the true probabilities, we can assess the differences.

For example, if the observed frequency of Blue marbles (B) is close to 1/4 or 25% of the total experiments, it suggests that the experimental results align with the true probability. Similarly, if the observed frequency of Green marbles (G) is close to 1/3 or around 33.33%, and the observed frequency of Yellow marbles (Y) is close to 5/12 or around 41.67%, it indicates a good agreement between the experiment and the true probabilities.

However, if there are significant deviations between the observed frequencies and the true probabilities, it implies a discrepancy between the experiment and the expected outcomes. These differences can occur due to the inherent randomness in the experiment or other factors that affect the marble selection process.

By comparing the observed frequencies with the true probabilities, we can evaluate the accuracy of the experimental results and discuss any discrepancies or variations observed.

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Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

\(2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)\)

\(8a^2b^3 - 4ab^4 = XaY^3(z - b)\)

\(4ab^3(2a-b) = XaY^3(z - b)\)

X = 4

y = b

z = 2a

Answer:

The answer is

Step-by-step explanation:

Area of a circle is given by πr²

Where r is the radius

From the question

Area = 64 ft²

So the radius is

64 = πr²

Divide both sides by π

\( {r}^{2} = \frac{64}{\pi} \)

Find the square root of both sides

\(r = \sqrt{ \frac{64}{\pi} } \)

r = 4 ft

Hope this helps you

The answer is 8 not 4.5 or 4!!!!!!!!

Step-by-step explanation: It's not just "64" its 64pi. when you posted the question your device could not put the pi symbol so people were thinking that it was just 64.

Answer:

Here are your 3 answers!  Hope this helps please mark brainliest! Thanks :)

Step-by-step explanation:

11. X=10

12.X=-9

13.X=7

Answer:

The first one x = 10.

The second one x = -9

The third one x = 7

Step-by-step explanation:

As a result of Charles investing both locally and internationally, C.  If one market fails to perform, the other market may continue to provide returns

When Charles invested in both local and international stock, he engaged in a process known as diversification.

Diversification reduces risk because there is a chance that when some stock are not performing well, others will be because they are not affected by the same things.

Charles's stock will not be affected by the same things such that when the domestic stock isn't doing well, the international stocks might be doing well.

In conclusion, option C is correct.

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Answer:

Select the correct answer.

Charles is planning to buy both domestic and international stock to add to his portfolio. What benefit will he gain from including both kinds of investments?

A.

His investments in the international market will be affected if his domestic stocks don’t perform well.

B.

High exchange rates in the international market will boost his domestic investments.

C.

If one market fails to perform, the other market may continue to provide returns.

D.

The domestic stocks will make the currency exchange rate among international stocks easier to manage.

Step-by-step explanation:

When a rational number is expressed as a decimal, the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors in the denominator.

For example,

If we consider the fraction 1/7, the decimal representation is 0.142857142857..., and the repeating section has a length of 6 digits. This is because the denominator 7 is a prime number, and there is only one distinct prime factor.

Similarly, for the fraction 1/6, the decimal representation is 0.1666..., and the repeating section has a length of 1 digit. The denominator 6 has two distinct prime factors (2 and 3), but since the prime factor 2 is repeated, it contributes to a repeating section of length 1.

In general, if a rational number can be expressed in the form p/q, where p and q are coprime integers (they have no common factors other than 1), and q has prime factors p1^a1 * p2^a2 * p3^a3 * ..., then the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors, which is a1 + a2 + a3 + ...

It's important to note that not all rational numbers have repeating decimal representations. For example, the fraction 1/2 can be expressed as the terminating decimal 0.5.

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Answer:

Step-by-step explanation:

Given equation:

Solve for w:

Answer:

V/lh

Step-by-step explanation:

Given,

V = lwh

Here we know

V = volume

l = length

w = width

h = height

Now,

On solving for w

V = lwh

V = l × w × h

V/l = w × h

V/l × h = w

V/lh = w

Given:

m∠L = 8x - 41

m∠M = 2x + 1

m∠N = 6x + 3

Let's find the measure of angle P

A paralellogram has equal opposite angles.

Therefore, the opposite angles(L and N) and (P and M) are equal.

Thus, we have:

m∠L = m∠N

8x - 41 = 6x + 3

Let's solve for x:

Add 41 to both sided

8x - 41 + 41 = 6x + 3 + 41

8x = 6x + 44

Subtract 6x from both sides:

8x - 6x = 6x - 6x + 44

2x = 44

Divide both sides by 2:

Thus, we have:

m∠P = m∠M = 2x + 1

m∠P = 2x + 1

Substitute 22 for x in (2x + 1)

m∠P = 2(22) + 1

m∠P = 44 + 1

m∠P = 45°

Therefore, the measure of angle P is 45 degrees.

ANSWER:

m∠P = 45°

Jeremy paid $20.40 for a box of 15 pens.

The cost of one pen can be calculated by dividing the total cost by 15. This is shown below:

Hence, each pen costs $1.36.

The cost of each pen is $1.36.

We will use the formula:

Cost of one pen = total amount/number of pens

Given in the question,

Total amount = $20.40

Number of pens = 15

Now, we will put the values in the above formula,

Cost of one pen = 20.40 / 15

= $1.36

Therefore, the cost of each pen is $1.36.

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The value of the given expression 6/(y-z) - 2/(y-z) is 4/(y-z). Option 3 is the correct answer.

In algebra, like terms are those in which the same variable(s) are raised to the same power (s). Because they both have the same variable (y) raised to the same power, the expressions 2xy and -5y are similar (1). When combining terms that have similar coefficients, it's important to preserve the exponent and variable constants.

The given expression is 6/(y-z) - 2/(y-z).

Simplifying the expression by combining the like terms we have:

(6 - 2)/(y-z) = 4/(y-z)

Hence, the value of the given expression is option 3 4/(y-z).

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t approaches infinity then salt is:

\(Q(\infty) = 18lb\)

What is volume?

Volume is a mathematical term used to describe how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc. Volume is sometimes referred to as capacity.

The amount of salt in the barrel at time t is given by

where Q(t) is in pounds and time t is in minutes.

(a) Salt after 5 minutes i.e. t=5

\(Q(5) = 18(1 - e^{-0.08(5)} ) = 18(1 - e^{-0.4})\\\\Q(5) = 18(1 - 0.6703) = 5.93 \\\\Q(5) = 5.93lb\)

(b) Salt after 10 minutes i.e. t=10

\(Q(10) = 18(1 - e^{-0.08(10)} ) = 18(1 - e^{-0.8} )\\\\Q(10) = 18(1 - 0.4493 ) = 9.91\\\\Q(10) = 9.91lb\)

(d) When t becomes large, let say when t approaches infinity then salt is

\(Q(\infty) = 18(1 - e^{-0.08(\infty)} ) = 18(1- e^{-\infty})\\\\Q(\infty) = 18(1 - 0) = 18\\\\Q(\infty) = 18lb\)

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Answer:

Sales Tax: 4%

Step-by-step explanation:

13.20/330 = 0.04

Percentage: 4%

Answer:

The slope is -7

Step-by-step explanation:

\(y = mx + c\)

The \(m\) indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

Answer:

1.445 × 10³ hope it helped goodluck!

The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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Answer:

d. m<R = 128, m<S = 52, m<T = 128, m<U = 52

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360°

6x - 4 + 2x + 8 + 2x + 8 + 6x -4 = 360° add like terms

16x + 8 = 360 subtract 8 from the both sides

16x = 352 divide both sides by 16

x = 22 now to find the value of each angle replace x with 22