Cara earn a bae pay of $1,800 per month at a car dealerhip plu a commiion of 6% of her ale. What are Cara' total earning in a month in which he ale $40,000 worth of merchandie?

Answer:

x = 3

Step-by-step explanation:

x+5=8

x+5-5=8-5

X=3

Answer:

x = 3

Step-by-step explanation:

basically 2 ways

1st: Transposing

1) x + 5 = 8

2) transpose or transfer +5 to the other side

NOTE: transposing numbers and variables switches the signs (positive -> negative and vice versa)

3) x = 8 - 5

x = 3

2nd: Property of Equality (whatever u do one one side, you do the same to the other)

1) x + 5 = 8

2) x + 5 - 5 = 8 - 5

x = 3

the main focus is to isolate x, or to make it be alone in one side of the equation

Answer:

Look at my photo to see where to graph this:

Do you see? your going to click - 5 and make it go horizontal

Answer:

X=-3

Step-by-step explanation:

-3^3 is -27

Answer:

x³ = -27

x³×⅓ = -3³

x = -3³×⅓

x = -3

the required distance is approximately 10.654 m.

A positive point charge (q=+7.91×108C) is surrounded by an equipotential surface A, which has a radius of r

A​=1.72 m. A positive electric force as the test charge moves from surface A to surface B is WAB​=−9.21×10−9 J. Find rB​. IB​=1.

If a charge moves from surface A to surface B, then the potential difference is ΔV=VB-VA, which is given as,

ΔV = WAB/q

The electric potential on the surface A is given as,

VA= kq/rA

We know that the electric potential is constant on an equipotential surface, thus the potential difference between the surfaces A and B is equal to the work done by the electric field that moves a charge from surface A to surface B. Hence, we can calculate VB as,

VB= VA - ΔVVB

= kq/rA - WAB/q

Substituting the given values,

k= 9x10^9 Nm^2/C^2rA = 1.72m

WAB = -9.21x10^-9 Jq= 7.91x10^8 C

Therefore,

VB = 11670485.40 V

To find rB, we can use the following formula,

VB= kq/rBVB = kq/rB

⇒ rB = kq/VB

Substituting the given values, we get

rB = 10.654 m (approx)

Therefore, the required distance is approximately 10.654 m.

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Answer:

square is the answer...

Answer:

11.11%

Step-by-step explanation:

The selling price is 250

The cost price is 250-25

= 225

Therefore the gain can be calculated as follows

=250-225x/225x×100

1/9 ×100

= 0.1111×100

= 11.11%

Hence the gain is 11.11%

The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.

First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.

Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.

Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.

Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.

Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

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Answer:

x=4

Step-by-step explanation:

ABCD is a rectangle, so AD and BC are parallel. Thus, The angle complementary to 6x+19 is 47.

6x+19+47=90

6x+66=90

6x=24

x=4

Answer:

opposite angles are equal, and since, the figure is a rectangle, all its sides measure 90 degrees. Which means, in the side with 47, the angle will be 90 degrees if the other angle is mentioned.( 90-47=43), and we know that opposite angles are equal, and on a line that divides the angles, 43 is equal to 6x+19. so, 6x+19=43,

6x=43-19=24

x=24/6=4

in the same way, the angle 47 mentioned in the figure is equal to the angle beside 6x+19

At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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Answer:

x = 53.7 degrees

Step-by-step explanation:

\(tan = \frac{opposite}{adjacent}\)

\(tan x = \frac{15}{11}\)

tan x = 1.36

tan-1 of 1.36 = 53.7

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

Answer:

23°

Step-by-step explanation:

All of the angles in the diagram add to a straight line , which is 180 degrees

82 + 24 + RUS + 51 = 180

RUS = 180 - 82-24-51 = 23°

Answer: 54

Step-by-step explanation:

1) First, we need to find what 'x' is. We know that the exterior angles of a triangle equal to 360. So, we will add up all the expressions and set them equal to 360.

7x-2 + 9x-31 + 4x +33 = 360.

2) We will add all the like terms, which will give us: 20x + 0 = 360. We don't need to add the 0.

3) Now, we will isolate the 'x' by dividing 360 by 20 and we will get: x= 18.

4) To find the measure of angle DCE, we just have to substitute x in '7x-2' with 18, which then would equal to: 124.

5) Now, that we have the adjacent angle of DCE, we just have to subtract 124 from 180, and we will get the answer.

6) Angle DCE equals to 54.

Yes, there are conditions in which it can be acceptable to allow skewed variables into a research study. Skewed variables are variables that do not follow a symmetrical distribution and have a longer tail on one side.

In research, it is important to consider the appropriateness of including skewed variables based on the specific research question, study design, and analysis techniques. Here are a few conditions under which it might be acceptable:

1. Natural occurrence: If the variable being studied naturally exhibits a skewed distribution in the population, it may be necessary and acceptable to include it. For example, income data often exhibit right-skewness due to a few high-income outliers, but studying income inequality or socioeconomic disparities would require considering this variable.

2. Theoretical justification: If there is a strong theoretical rationale or prior research suggesting that the variable is expected to be skewed, it can be included in the study. This is particularly relevant when studying phenomena that inherently have asymmetric distributions, such as reaction times, human behavior, or certain psychological constructs.

3. Robust analysis techniques: If appropriate statistical techniques exist to handle skewed variables, it may be acceptable to include them. For instance, non-parametric tests or transformations (e.g., logarithmic or square root transformations) can be used to address skewness and still obtain meaningful results.

4. Subgroup analysis: If the skewness is driven by a particular subgroup within the data, researchers might consider conducting subgroup analysis or stratifying the data based on the skewed variable. This approach allows for exploring potential effects or relationships within specific subgroups while accounting for the skewness.

5. Sensitivity analysis: Researchers can also perform sensitivity analyses to assess the robustness of their findings to the inclusion or exclusion of skewed variables. This helps evaluate whether the results are sensitive to the specific distributional characteristics of the variable.

In summary, allowing skewed variables in a research study can be acceptable under certain conditions, such as when the variable naturally exhibits skewness, is theoretically justified, appropriate analysis techniques exist, or subgroup analysis is conducted. It is crucial to carefully consider the research question, study design, and analysis plan to ensure that the inclusion of skewed variables does not compromise the validity and interpretability of the findings.

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Answer:

66.5

Step-by-step explanation:

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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1/3 + 1/3 is 2/3 bc the denominator always stays the same but you always add the numerator so that us 2/3 and you do the same with the others

Answer:

UP

Step-by-step explanation:

x+9 = \(\sqrt{y}\)

y = \(x^{2}\) +18x + 81

Answer:

Up

Step-by-step explanation:

lol im giving a second answer so the other person can get brainliest :)

The cost of each table is $110.

Given:

Total Amount spent = $900

Cost of bookshelf = $50

By dividing the entire amount paid by 70%, you may calculate the cost of the chair and desk.

Cost of chair and desk = 900 x 0.70 = $60

Now, subtract that cost from the total amount spent:

900 - 630 = $270 was spent on the rest three items.

Next, subtract the cost of the bookshelf:

270 - 50 = $220

The cost of two tables is $220.

So, the price of one table can be calculated by dividing this cost by 2:

220/2 = $110

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Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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The correct answer is (a) \(y^2 - x^2 = x + 7y\) for the polar equation.

Polar coordinates are a two-dimensional coordinate system that uses an angle and a radius to designate a point in the plane. A polar equation is a mathematical equation that expresses a curve in terms of these coordinates. Circles, ellipses, and spirals are examples of forms with radial symmetry that are frequently described using polar equations. They are frequently employed to simulate physical events that have rotational or circular symmetry in engineering, physics, and other disciplines. Computer programmes and graphing calculators both use polar equations to represent two-dimensional curves.

To convert the polar equation\(r = sinθ\) into a cartesian equation, we use the following identities:

\(x = r cosθy = r sinθ\)

Substituting these into the given polar equation, we get:

\(x = sinθ cosθy = sinθ sinθ = sin^2θ\)
Now we eliminate θ by using the identity:

\(sin^2θ + cos^2θ = 1\)

Rearranging and substituting, we get:

\(x^2 + y^2 = x(sinθ cosθ) + y(sin^2θ)\\x^2 + y^2 = x(2sinθ cosθ) + y(sin^2θ + cos^2θ)\\x^2 + y^2 = 2xy + y\)

Therefore, the correct answer is (a)\(y^2 - x^2 = x + 7y\).

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The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer: 1100 ounces because 20 × 30 + 10 × 50 = 1100

Step-by-step explanation:

Amount of honey contained in each large jar = 18 ounces

Number of large jar filled = 32

Total amount of honey in large jars:

= 18 ounces × 32

= 576 ounces

Amount of honey contained in each small jar = 12 ounces

Number of small jars filled = 46

Total amount of honey in small jars:

= 12 ounces × 46

= 552 ounces

The total amount of hones in the jars will be the addition of the honey in the small and large jars. This will be:

= 576 ounces + 552 ounces

= 1128 ounces

The most reasonable estimate will be:

1100 ounces because 20 × 30 + 10 × 50 = 1100

The correlation between tensile strength and density was found to be r = 0.86191.

If the model that includes "Tensile Strength" as a predictor variable has a stronger relationship, we can conclude that tensile strength is the more influential factor.

The number of units produced each day is influenced by the width and density of the sheets being processed, as well as the tensile strength of the steel. The data collected from 20 days of production has been analyzed to determine the correlation between tensile strength and density, and to create two new models that each eliminate one of these factors.

To create two new models, one eliminating "Tensile Strength" and one eliminating "Density," we can perform regression analyses on the data. These analyses will help us determine which variable has a stronger influence on production levels.

The first model eliminates "Tensile Strength" and only considers "Density" as a predictor variable. The ANOVA output for this model will show the overall significance of the model, while the regression statistics will provide information about the strength of the relationship between density and production levels. The individual t-tests performed on the partial slopes will indicate the significance of the effect of density on production levels.

After conducting these analyses, we can compare the results of the two models to determine which one is better for predicting production levels. If the model that includes "Density" as a predictor variable has a stronger relationship with production levels, then we can conclude that density has a greater influence on the daily production of finished products.

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Answer:

Step-by-step explanation:

8 fluid ounces in a cup

two cups in a pint

16 fluid ounces in a pint

divide 2.72/16 to get your answer of $.17 a fluid ounce

Answer:

There is 1 tree per 1.6 acre.

Step-by-step explanation:

Divide the number of trees from the number of acres. This will tell you how many acres are between each tree.

Answer:

0.6 acres.

Step-by-step explanation:

You divide the total population of the willow tree (30) by the areas they occupy (50 acres). Therefore, 30/50=0.6 population per acre.

The probability of drawing a jack of spades on the first draw and a black card on the second draw is 13/1326.

The probability of drawing a jack of spades from a standard deck of playing cards is 1/52 since there is only one jack of spades in the deck of 52 cards.

Once the jack of spades has been drawn, there are 51 cards left in the deck, of which 26 are black (13 clubs and 13 spades) and 25 are red (13 diamonds and 12 hearts).

The probability of drawing a black card as the second card, given that the first card was the jack of spades, is 26/51.

Now the probability of both events occurring, we multiply the probabilities of the individual events:

P(jack of spades and second card is black) = (1/52) x (26/51)

= 13/1326

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Answer:

7.2 =x

Step-by-step explanation:

We know that

sin theta = opp / hyp

sin 41 = x/y

sin 41 = x/11

11 sin 41 =x

7.216649319 =x

Rounding to 1 decimal place

7.2 =x