what is the solution to the inequality -3x - 42 > 3


A: x > -13

B: x < -13

C: x > -15

D: x > -15

PLEASE SHOW WORK.

Answer:

1/4

Step-by-step explanation:

1. Solve the parentheses

(-5/6+1/3)

(-5+2/6)   6 is common multiple for 3 and 6

-3/6

-1/2          

2. Multiply

-1/2*-1/2

1/4

Hope this helps

Have a great day!

Answer:

10

Step-by-step explanation:

40/4=10

Answer:

Jason's job pays a higher hourly rate than Mia's lifeguard job.

Step-by-step explanation:

It tells that Jason gets paid $9/hour

now divide each amount Mia makes by the number of hours each day and you get the same amount of $8.75/hour.

The kind of food that will finish and get used up first is the boxes of granola.

Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.

From the parameters given:

The time at which the 65 tubs of yogurt will finish:

= 65/4

= 16th rounds with a remainder of 1 tub

The time at which 16 boxes of granola will finish:

= 16/4

= 4th round

A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.

Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.

Learn more about word problems here:

https://brainly.com/question/13818690

It is valid to suggest that fewer than half of Americans prefer to watch the news rather than read or listen to it.

Testing for the claim that fewer than half of A.m.e.r.i.c.a.n.s. prefer to watch the news rather than read or listen to it, we can use a one-tailed, lower-bound z-test for proportions. The null hypothesis is that the proportion of Americans who prefer to watch the news is greater than or equal to 0.5, and the alternative hypothesis is that the proportion is less than 0.5.

Using the normal approximation to the binomial distribution, the z-score is calculated as:

z = (P - 0.5) / (√(p*(1-p)) / √(n))

where P is the sample proportion (46.9%), p is the population proportion (0.5), and n is the sample size (1009).

The p-value is the probability of getting a z-score as extreme or more extreme than the one calculated, assuming the null hypothesis is true.

z = (0.469 - 0.5) / (√(0.5*(1-0.5)) / √(1009)) = -2.2

The p-value is calculated by looking up the z-score of -2.2 in a standard normal table and finding the probability in the lower tail. The p-value is approximately 0.0135

Since the p-value (0.0135) is less than the significance level (0.05), we r.e.j.e.c.t. the null hypothesis and conclude that it is true to suggest that fewer than half of A.m.e.r.i.c.a.n.s. prefer to watch the news rather than read or listen to it.

learn more about binomial distribution: https://brainly.com/question/15246027

#SPJ1

Answer:

2474

Step-by-step explanation:

(725 x 2) + (512 x 2)

(1450)+(1024)

=2474

Point W has the polar coordinates negative five comma two pi over 3.

We have to given that;

To find the coordinate for the point (- 5, 2π/3).

Now, We can formulate;

Coordinates of W = (- 5, 2π/3).

Thus, The correct point which shows the polar coordinates negative five comma two pi over 3 is,

⇒ Point W

Therefore, Point W has the polar coordinates negative five comma two pi over 3.

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ1

The larger value between \(e^{\pi}\) and \({\pi}^{e}\) is  \(e^{\pi}\).

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

Two expressions are \(e^{\pi}\) and \({\pi}^{e}\).

The value of \(e^{\pi}\) is 23.1406926328.

To three decimal places:

The digit right to 0 is 6.

And 6 > 5.

So, zero will become 1, while rounding to three decimal places.

\(e^{\pi}\) = 23.141.

The value of \({\pi}^{e}\) is 22.4591577184.

To three decimal places:

The digit right to 9 is 1.

And 1 <  5.

So, 9 will remain 9, while rounding to three decimal places.

\({\pi}^{e}\) = 22.459

And 23.141 > 22.459

Therefore, 23.141 > 22.459.

To learn more about the decimal;

brainly.com/question/109147

#SPJ1

Answer:

2 < x

Step-by-step explanation:

7-2(x+2)<-4-3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7 +3x

Add 2x to each side

3-2x +2x< -7+3x+2x

3< -7+5x

Add 7 to each side

3+7 <-7+7+5x

10 <5x

Divide each side by 5

10/5 <5x/5

2 < x

Answer:

A,C,D

Step-by-step explanation:

Answer:

A C D

Step-by-step explination

it just is

Any number raised to a fraction just means that you take the number to the power of the numerator of the fraction and then root it by the denominator of the fraction.

In \(\frac{1}{4}\), we raise 624 to \(1\) and then root it by \(4\) which gives:

\(\sqrt[4]{624^1}\) = \(\sqrt[4]{624} =\) approximately \(5\) as \(5^4\) is \(625\).

\(4.997\) :D

Answer:

no

Step-by-step explanation:

The possible rational zeros of ƒ(x) = 3x³ + 22x² +28x - 35 are the factors of -35 divided by the factors of 3. These are:

-35/1 = -35, -35/-1 = 35

-35/3 = -5, -35/-3 = 5

Using the Rational Root Theorem, we can now test these values to see if they are zeros of the function:

-35: 3(-35)³ + 22(-35)² + 28(-35) - 35 = -8,925 + 30,950 + -980 - 35 = -9,880 which is not a zero

35: 3(35)³ + 22(35)² + 28(35) - 35 = 42,875 + 30,950 + 980 - 35 = 74,770 which is not a zero

-5: 3(-5)³ + 22(-5)² + 28(-5) - 35 = -125 + -100 + -140 - 35 = -400 which is not a zero

5: 3(5)³ + 22(5)² + 28(5) - 35 = 125 + 100 + 140 - 35 = 330 which is not a zero

So the function ƒ(x) = 3x³ + 22x² +28x - 35 has no rational zeros.

С

The given type of effect is called predictive.

What is linear regression?

When predicting a variable's value based on the value of another variable, linear regression analysis is used. The dependent variable is the one you're trying to forecast. The independent variable is the one that you are utilizing to forecast the value of the other variable.

Given:

A variable with a value of x1 x2 is added to the general linear regression model to account for two predictive variables, x1 and x2 and the effect on the response variable.

Linear regression is one of the most generally utilized predictive displaying methods.

It is spoken to by a condition = + + , where an is the catch, b is the slant of the line and e is the blunder term.

This condition can be utilized to predict the estimation of an objective variable dependent on a given predictor variable(s).

The predictor variable is the name given to an autonomous variable utilized in regression examinations.

The predictor variable gives data on a related ward variable concerning a specific result.

Hence, the given type of effect is called predictive.

To know more about linear regression, click on the link

https://brainly.com/question/25987747

#SPJ1

The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

Know more about graphs here: https://brainly.com/question/17267403

#SPJ4

Answer:

Step-by-step explanation:

See image

Answer:

Answer:

11.02-9.91= 1.11

Step-by-step explanation:

|-11.02| - |-9.91| (First solve in absolute)

11.02 - 9.91 (any values outside absolute becomes positive)

1.11

Step-by-step explanation:

The angular momentum of the earth in its orbit around the sun is compared with the angular momentum of earth on its axis as below :

Earth's radius is 6.38 x 106 meters, its mass is 5.97 x 1024 kg, and its orbital radius is 1.5 x 1011 meters. The period of the earth's rotation is 24 hours, or 86400 seconds. The period of its revolution is one year, or 3.156 x 107.

Finding the angular momentum entails

L = mE x r2 x w L = 2.6742 x 1040kg.m2.s-1

I= 2/5M.R2 L8= 7.07 x 1023kg.m2.s-1 for a homogeneous sphere with mass M, radius R, and an axis through its center.

Earth's angular momentum in a circular orbit around the sun is measured at Li=2.6742 x 1040 kg.m2.s-1.

Given that the radius of the planet is so small in comparison to the distance from the sun, it makes sense to model the earth as a particle.

L8= 7.07 x 1023 kg.m2.s-1 is the size of the earth's angular momentum as a result of its revolution around an axis passing through the north and south poles.

Parameters and Calculations:

Earth's mass, mE, is 5.97 x 1024 kg, and its radius, R,

the earth's orbital parameters are as follows: RE= 6.38 x 106 m, r= 1.5 x 1011 m, t=24h = 86400 s, and t=1 year = 3.156 x 107

Finding the angular momentum entails

L=mexr2xw where

L = 2.6742 x 10-40 kg/m2/s-1

For a homogeneous sphere with mass M, radius R, and a central axis,

I= 2/5M.R^2

L8 = 7.07 x 1023 kg/m2/s-1

To learn more about angular momentum click here:

brainly.com/question/15104254

#SPJ4

Answer:

15 students.  30%

Step-by-step explanation:

Suppose that 60% of the people who inquire about investments at a certain brokerage firm end up investing in stocks. The probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both) is 66%.

60% invest in stocks

50% invest in bonds

44% invest in both bonds and stocks

Percent (only stock) = 60% -44%

Percent (only stock) = 16%

Percent (only bond) = 50% - 44%

Percent (only bond) = 6%

Percent (both) = 44%

Total = 16% + 6% + 44%

Total = 66%

Therefore the probability is 66%.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

To calculate a 90% confidence interval in RStudio, we would use a z* value of 1.644854, which we can find using the qnorm() function with a confidence level of 0.9.

To calculate a 90% confidence interval, we need to find the critical value (z*) that corresponds to a confidence level of 90%. In RStudio, we can use the qnorm() function to find the z* value.

The qnorm() function takes two arguments: the first argument is the desired confidence level, expressed as a decimal (in this case, 0.9 for a 90% confidence level); the second argument is the mean, which is typically the sample mean in the case of a confidence interval.

To find the value of z* for a 90% confidence interval, we can use the following code in RStudio:

qnorm(0.95)

The output of this code will be 1.644854, which is the value of z* for a 90% confidence interval. We can then use this value to calculate the upper and lower bounds of the confidence interval using the formula:

Upper bound = sample mean + (z* x standard error of the mean)

Lower bound = sample mean - (z* x standard error of the mean)

To learn more about rstudio click on,

https://brainly.com/question/30266358

#SPJ4

Answer: $2.60

Step-by-step explanation:

raspberry pancake mix = 1.30/kg

bought = 2kg

2kg x $1.30/kg = $2.60

Answer: $2.60

Step-by-step explanation: 1.30 x 2 = 2.60

As we can see in the graph, the triangle KXH has been reflected both on the y-axis and x-axis and then reduce by a scale factor between 0 and 1.

Reflection on both the y-axis and x-axis can be renamed to a single transformation which is a rotation of 180° about the origin. The transformation rule of a rotation about the origin is (x, y) → (-x, -y).

From the original coordinates of the triangle KXH, after rotation of 180° about the origin, the new coordinates are:

Now, if we compare the coordinates of triangle NGP and the new coordinates after the rotation:

We can see that the new coordinates after rotation was multiplied by 1/2 to form the coordinates of the Triangle NGP.

Hence, after a 180° rotation, the triangle KXH is dilated by a scale factor of 1/2. In symbol, this can be written as:

Note that instead of using 1/2, we use decimal because the instruction is to use integer or decimal.

The answer is Option D and fill in the box with D sub 0.5 as shown above.

The difference in her clothes and her books will be 57kg.

The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be $19800.

From the information, Maya has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service, the difference in her clothes and her books will be:

= Weight of clothes - Weight of books

= 127 kg - 70 kg

= 57 kg

The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be:

= 127(200) - 70(80)

= 25400 - 5600

= $19800

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The object whose distance is three times its displacement is object Z.  

The distance is defined as a scalar quantity representing the total distance traveled.

Displacement is a vector representing the distance between the end and start points.

Distance, Displacement, Ratio To calculate r = 3

Object    Motion                                    Distance     Displacement  ratio

 X          3 units left, 3 units right        3 + 3 = 6       3 - 3 = 0            ∞

 Y          6 units right, 18 units right    6 + 18 = 24    6 + 18 = 24       1

 W         8 units left, 24 units right      8 + 24 = 32   -8 + 24 = 16     2

 Z          16 units right, 8 units left       16 + 8 = 24    16 - 8 = 8         3

Ratio is calculated by dividing the distance by the displacement.

distance/displacement.

For object Z it is 24/8 = 3. So the object whose distance is three times its displacement is object Z.  

Read more about Object distance at: https://brainly.com/question/17206319

#SPJ1

The coefficient of y in the expression -2x² * y² * z is 0

From the question, we have the following parameters that can be used in our computation:

An algebraic expression

The algebraic expression is given as

- 2x ^ 2 * y ^ 2 * z

Express the exponents as proper subscripts

So, we have the following representation

-2x² * y² * z

There is no term in the expression with the variable y

Instead, the term has a y² as its variable

This means that the coefficient of y is 0

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

A list of steps, in order, that will solve the following equation include the following:

In order to create a list of steps and determine the solution to the equation, we would have to add 5 to both sides and divide both sides by 2 in order to open the parenthesis as follows;

2(x + 3) – 5 = 123

2(x + 3) – 5 + 5 = 123 + 5

2(x + 3) = 128

By dividing both sides of the equation by 2, we have the following:

2(x + 3)/2 = 128/2

x + 3 = 64

By subtracting 3 from both sides of the equation, we have the following:

x + 3 - 3 = 64 - 3

x = 61

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

Answer:  Pablo: 1:5 Sam: 16.50

Step by Step Explination:

Answer:

AB and BC are the sides of a parallelogram, ABCD. AB = 5 cm, BC = 7 cm and ABC = 60 degrees. Draw the lines AD and CD to complete the parallelogram.

Step-by-step explanation:

The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

Learn more about similar triangles here:

https://brainly.com/question/2644832

#SPJ1