Solve for x. Please show work.

2x + 6 = -3x - 14


A) 16 Miss Violet was in the cafeteria.

B) -16 Mrs. Teal was in the library.

C) 3.2 Mr. Brown was in the auditorium.

D) -4 Ms. Ivory was in the student center.

E) 4 Prof. Gray was in the library.

Answer:

Step-by-step explanation:

12 / 20 = 0.6 holes per hour

The speed of red light in crown glass is approximately 1.99 x \(10^8\) m/s.

a. The speed of violet light in crown glass can be calculated using the formula:

v = c/n

Where,

v is the speed of light in the material,

c is the speed of light in vacuum and

n is the index of refraction of the material for violet light.

Plugging in the values given, we get:

violet light speed in crown glass = c/n

violet light speed in crown glass = c/1.53

Using the value for the speed of light in vacuum,

c = 3.00 x \(10^8\) m/s,

We can calculate the speed of violet light in crown glass as:

violet light speed in crown glass = (3.00 x \(10^8\) m/s) / 1.53

= 1.96 x \(10^8\) m/s

Therefore, the speed of violet light in crown glass is approximately 1.96 x \(10^8\) m/s.

b. Similarly, the speed of red light in crown glass can be calculated using the same formula, but with the index of refraction for red light:

red light speed in crown glass = c/n = c/1.51

Using the same value for the speed of light in vacuum and plugging in the value for the index of refraction for red light, we get:

The red light speed in crown glass = (3.00 x \(10^8\) m/s) / 1.51 = 1.99 x 10^8 m/s

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Answer:

B) p<5

Step-by-step explanation:

Answer:

I believe the answer would be 47

Step-by-step explanation:

because the angles of a triangle should add up to 180°

Answer: x =47

Step-by-step explanation:

Let`s find 1:

y= 1 angle

In a triangle the sum of the angles is 180 º, so you sum

66+21+y = 180

y= 180 - 66 - 21

y= 180-87

y= 93

Let`s find x:

the angle that is not written in the triangle where x is, is opposite by vertex to angle 1 or y, that is, they have the same value, so:

x + 40 + 93 = 180

x = 180 - 133

x = 47

Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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Answer:

6) C. amount left in her money

7) C. Php1 500, Php403 and 3 cans of paints

8) A. Php291

9) B. Php1 170

10) D. Php840

Step-by-step explanation:

Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?

6.) What is asked in the problem?

Aloha was asked of her change. This means the amount that is left after buying the 3 cans of paint. Hence, option C is correct.

C. amount left in her money

7. )What are the given facts?

The given facts in the question are

The 3 cans of paint that cost Php 403 and the amount she paid the clerk which is Php 1500

Hence, Option C. Is correct.

C. Php1 500, Php403 and 3 cans of paints

8. )How much change did she get?

The amount for change she got is calculated as.

Php 1 500 - 3(Php 403)

= Php 1 500 - Php 1 209

= Php 291

The amount of change she got is Php 291

Option A. Php291 is correct

9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?

The question above can be interpreted as:.

Six Php100 bills

= 6 (Php100)

= Php 600

Seven Php50 bills

7 (Php50)

= Php 350

Eleven Php20 bills

11 (Php20)

= Php 220

The amount she she has is calculated as:

Php 600 + Php 350 + Php 220

= Php 1 170

Hence, Option B. Php1 170 is correct

10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?

We are told that:

He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip.

Hence, the cost for each trip is

Php 10 × 4 passengers

= Php 40

Hence:

1 trip = Php 40

21 trips = x

Cross Multiply

x = 21 trips × Php 40

x = Php 840

Option D. Php840 is correct

The value of the $1000 investment after 10 years at 6% interest compounded biannually is $1790.85 (rounded to the nearest cent).

To find the value of the $1000 investment after 10 years at 6% interest compounded biannually, we can use the formula:

A = P\((1 + r/n)^{nt}\)

where:

A = the final amount

P = the initial investment (principal)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $1000, r = 0.06, n = 2 (since interest is compounded biannually), and t = 10. Plugging these values into the formula gives:

A = $1000\((1 + 0.06/2)^{2*10}\)

A = $1000\((1.03)^{20}\)

A = $1790.85

Therefore, the value of the $1000 investment after 10 years at 6% interest compounded biannually is $1790.85 (rounded to the nearest cent).

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Answer:

feet

Step-by-step explanation:

The others measure liquid or weight.

Answer:

feet

Step-by-step explanation:

Both inches and feet could be used, but inches are so small that it would take much longer to measure the wall than it should. Feet are the appropriate unit to measure a wall.

Answer:

Four percent

Step-by-step explanation:

Answer:

4xy + 4x² + 4xz

Step-by-step explanation:

4x(y+x+z)

4xy + 4x² + 4xz

Answer:

4xy+4x^2+4xz

Step-by-step explanation:

You would just factor the first 4x to the rest of the terms and if they are different letters just tack them on at the end, in the case of 4x times x it would square to 4x^2

-1/7, since parallel lines have equal slopes.

Answer:

Steps = 300w + 32,000

Step-by-step explanation:

Answer:

3,000 words

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

just did the test

As per the distribution, the value of P(X > 17) is 1/4

In this problem, we are given that the random variable X has a discrete uniform distribution on the integers 12, 13, ..., 19. This means that each of these integers has an equal chance of being the value of X, and any other value outside this range has a probability of 0. We can represent this distribution using a probability mass function, which gives the probability of each possible value of X.

To find the value of P(X > 17), we need to calculate the probability that X takes on a value greater than 17. Since the distribution is uniform, the probability of X being any of the integers in the range is 1/8.

Therefore, we can find the probability of X being greater than 17 by adding up the probabilities of X being equal to 18 or 19, which are the only values greater than 17 in the distribution.

Thus, we have P(X > 17) = P(X = 18) + P(X = 19) = (1/8) + (1/8) = 1/4.

This means that there is a 1/4 chance that X will be greater than 17.

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Answer:

5369 thanks for ur point

The proportional equation that can be used to find the amount of markup y on the cost of a ring x is given by:

\(y = 3.4x\)

\(y = kx\)

In this problem, the markup rate is of 340%, hence \(k = \frac{340}{100} = 3.4\).

Then, the equation is:

\(y = 3.4x\)

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Answer:

Step-by-step explanation:

2 easy ways:

1. Divide 7 by 3 then multiply by 2

7/3= seven thirds or 2.333

Now multiply by two to get 14 thirds

or 4.666

2. Multiply 7 by 2/3, or 0.666

This way is a lot easier with a

calculator

The weight of the box is 14/3’s or 4.666

The height of the second square base prism is 50 cm.

The volume of the first square base prism is represented as follows:

v = ha²

where

Therefore, the height of the prism is 10 cm.

v = 10a²

Hence, the volume of the initial prism is 5 times the volume. Therefore,

v = 5(10a²)

v = 50a²

Therefore,

50a² = ha²

divide both sides by a²

50a² / a² = ha² / a²

50 = h

h = 50  cm

Therefore, the height of the second square base prism is 50 cm.

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Answer:

-0.6283

Step-by-step explanation:

-36° × π/180 = -0.6283rad

aswer

Answer:

-36π/180 or -.6283

Step-by-step explanation:

To convert from degrees to radians you multiply it by π/180

So you have -36π/180 which gets you around -.6283

Answer:

22 minutes

Step-by-step explanation:

15-11.26=3.74

3.74 divided by .17 eqauls 22

Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.

If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.

Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).

This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.

The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.

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Answer:

The first answer to the fourth answer is rational numbers.

Step-by-step explanation:

Rational numbers are usually expressed as fractions or decimals, but rational numbers are never whole numbers. Hope this helps!

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.


False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:

lim F(x) = lim (logx xlogx 5)

= lim (logx xlogx) lim 5

= ∞∞ 5

= ∞

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

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Answer:

See below.

Step-by-step explanation:

We want to find the unknown angle and we know the sides opposite to it and the hypotenuse. Therefore, we can use sine.

Recall that sine is the ratio of the opposite to the hypotenuse:

\(\sin(\theta)=opp/hyp\)

Plug in the numbers. The opposite is 20 and the hypotenuse is 55.

\(\sin(\theta)=20/55\)

Solve for theta (use a calculator):

\(\sin(\theta)=20/55\\\theta=\arcsin(4/11)\\\theta\approx21.23\approx21\textdegree\)

Answer:23

Step-by-step explanation:

:)

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

There are 252 distinct ways to dispatch the taxis to the three airports.

We need to find the number of distinct ways in which we can dispatch the taxis to the three airports, given that two taxis go to airport A, six go to airport B, and one goes to airport C.

First, we choose two taxis out of nine to send to airport A. This can be done in C(9, 2) = 36 ways.

Next, we choose six taxis out of the remaining seven to send to airport B. This can be done in C(7, 6) = 7 ways.

Finally, the last taxi is sent to airport C.

Therefore, the total number of distinct ways to dispatch the taxis is:

C(9, 2) x C(7, 6) = 36 x 7 = 252

There are 252 distinct ways to dispatch the taxis to the three airports.

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The mean \(\mu\) is 2, \(E[X(X-1)]\) is 2, and \(\sigma^2\) is 2 for the given distribution.

For the given distribution \(f(x) = \frac{{x!(3-x)!}}{{3!}} \cdot \left(\frac{4}{1}\right)^x \cdot \left(\frac{4}{3}\right)^{3-x}\) with \(x=0,1,2,3\), the mean \(\mu\) is 2, \(E[X(X-1)]\) is 2, and \(\sigma^2\) is 2.

To find the mean \(\mu = E(X)\), we calculate the weighted sum of each value of \(x\) with its corresponding probability:

\(\mu = 0 \cdot f(0) + 1 \cdot f(1) + 2 \cdot f(2) + 3 \cdot f(3)\)

Simplifying the expression, we get:

\(\mu = 0 + 1 \cdot \frac{4}{3} + 2 \cdot \frac{4}{3} + 3 \cdot \frac{4}{3} = 2\)

To find \(E[X(X-1)]\), we calculate the weighted sum of each value of \(x(x-1)\) with its corresponding probability:

\(E[X(X-1)] = 0 \cdot f(0) + 1 \cdot f(1) + 2 \cdot f(2) + 3 \cdot f(3)\)

Simplifying the expression, we get:

\(E[X(X-1)] = 0 + 1 \cdot \frac{4}{3} + 2 \cdot \frac{4}{3} + 3 \cdot \frac{4}{3} = 2\)

Finally, to find \(\sigma^2 = E[X(X-1)] + E(X) - \mu^2\), we substitute the previously calculated values:

\(\sigma^2 = 2 + 2 - 2^2 = 2\)

Hence, the mean \(\mu\) is 2, \(E[X(X-1)]\) is 2, and \(\sigma^2\) is 2 for the given distribution.

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In a scenario where water in an open bowl evaporates at a rate proportional to the area of the water's surface, the depth of the water decreases at a constant rate, regardless of the bowl's shape.

Let's assume we have an open bowl filled with water. The rate of decrease in volume due to evaporation is directly proportional to the area of the water's surface. As water evaporates, the surface area decreases, causing the depth of the water to decrease as well.

To demonstrate that the depth decreases at a constant rate, we can consider two different time intervals. During the first time interval, let's say the water's surface area decreases by ΔA1, resulting in a corresponding decrease in depth by Δh1. In the second time interval, if the surface area decreases by ΔA2, the depth decreases by Δh2.

Since the rate of decrease in volume is proportional to the surface area, we can say that ΔV1/Δt = k1 * ΔA1 and ΔV2/Δt = k2 * ΔA2, where k1 and k2 are proportionality constants.

Since the depth is defined as the volume divided by the surface area, we have Δh1 = ΔV1 / ΔA1 and Δh2 = ΔV2 / ΔA2.

Combining these equations, we find that Δh1/Δt = k1 and Δh2/Δt = k2.

Therefore, we can conclude that the depth of the water decreases at a constant rate, regardless of the shape of the bowl, as long as the evaporation rate remains proportional to the surface area.

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We have to put the triangular side as the base.

So, the height of the tent is signified by the red line, h.

Shown below:

The volume of the triangular prism is area of triangle x height

Let's find the area of the triangle, A_T:

The height is 10.

The volume is 280.

Substituting into the formula, let's sovle for "h". Shown below:

Answer:

1$

Step-by-step explanation: