What is the slope of a line parallel to the line whose equation is 3x – 18y = -378.Fully reduce your answer.Answer:Submit Answerattempt 2 out of 2O

Answer:

-3 , -3.305 , -3.35 , 0 , 3.15 , 3.4

Telling Marvin the number 18 should get us into the museum.

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and is used to find out how many times one number is contained within another number.

To get into Marvin's Magic Museum, we need to figure out which number Marvin likes based on the given information.

Marvin likes the number 14, but not 15. This suggests that he likes even numbers, since 14 is even and 15 is odd.

Marvin likes the number 21, but not 26. This suggests that he likes numbers that are divisible by 3, since 21 is divisible by 3 and 26 is not.

Marvin likes the number 35, but not 39. This suggests that he likes numbers that are not divisible by 4, since 35 is not divisible by 4 and 39 is.

Putting these clues together, we can see that the number Marvin likes must be even, divisible by 3, and not divisible by 4. The only number in the list that meets these criteria is 18, since it is even, divisible by 3 (6 times), and not divisible by 4.

Therefore, telling Marvin the number 18 should get us into the museum.

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Answer:

Step-by-step explanation:

Let the two numbers be x and y

If the two numbers differs by 5, then;

y-x = 5 ...1

x is the smaller

y is the larger

If seven times the smaller plus four times the larger is 108, this is expressed as;

7x + 4y = 108 ... 2

From 1;

y = 5 + x .... 3

Substitute 3 into 2;

From 2;

7x + 4y = 108

7x + 4(5+x) = 108

7x + 20 + 4x = 108

11x + 20 = 108

11x = 108-20

11x = 88

x = 88/11

x = 8

Since y = 5+x

y = 5 + 8

y = 13

hence the numbers are 8 and 13

The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)

The equation is given as:

f(x)=x² + 2x

Set x = 0

f(0)= 0² + 2(0) = 0

Set x = 1

f(1)= 1² + 2(1) = 3

The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)

See attachment for the graph of f(x)=x² + 2x

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The transformation of graph f (x) = x and h (x) = x - 4 is a translation 4 units to the left

The term transformation is used in mathematics to refer to the movements made by objects.

Translation refers to a type of transformation that involve a linear movement.

Movements as seen in translation includes

up

down

left

right

The y coordinate governs movements in the vertical direction that are up and down.

While the x coordinate controls the horizontal movement in the left and right directions.

The movement as described in the graphs f(x) and h(x) is translation 4 units to the left

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Answer:

answer to your question is: a = 3, b = 1, c = -2

Answer: x = 145

The angle x and 145 are vertical angles which are always congruent. Vertical angles are formed when you cross two lines. Vertical angles are always opposite one another in such a configuration.

Step-by-step explanation:

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The median of the set of data with values 10,12,15,16,18,20 is 15.5.

The median is one of the measures of central tendency.

The median is the middle value of a data set.

When the data set is even, the median is found by adding the two middle values and dividing by 2.

10,12,15,16,18,20

Total value = 91

Median = 15.5 (15 + 16)/2

Thus, the median of the set of data with values 10,12,15,16,18,20 is 15.5.

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Step-by-step explanation:

The distance between the two points (1, 2) and (-1, -7) is the square root of ((1 + 1)^2 + (2 + 7)^2), which is approximately 11.8. Rounding to the nearest tenth, the distance is 11.8.

Answer:

9.2

Step-by-step explanation:

In a two-dimensional plane, the distance between any two points (x₁, y₁) and (x₂, y₂) is given by the formula::

\(d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

For:

(x₁, y₁) = (1, 2)
(x₂, y₂) = (-1, -7)

\(d = \sqrt {(-1 - 1)^2 + (-7 - 2)^2}\)

==> \(d = \sqrt {(-2)^2 + (-9)^2}\)

==>  \(d = \sqrt {{4} + {81}}\)

\(d = \sqrt {85}\)

\(d = 9.2195\)

\(d = 9.2\;\; \textrm{rounded to the nearest thenth(one decimal place)}\)

Answer:

1+1 is 2..

Step-by-step explanation:

Answer:

maybe 2 or 11 or 1 or IDDKK

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that:

\(P(246 \leq \bar{x} \leq 260) = 0.5693\)

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The probability of a sample mean between 246 and 260 is the p-value of Z when X = 260 subtracted by the p-value of Z when X = 246, hence:

X = 260:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{260 - 250}{8.3333}\)

\(Z = 1.2\)

\(Z = 1.2\) has a p-value of 0.8849.

X = 246:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{246 - 250}{8.3333}\)

\(Z = -0.48\)

\(Z = -0.48\) has a p-value of 0.3156.

0.8849 - 0.3156 = 0.5693, hence:

\(P(246 \leq \bar{x} \leq 260) = 0.5693\)

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Answer:

(8,4)

(16,8)

Step-by-step explanation:

The table is given which shows the number of yellow tiles and red tiles.

The first row in the table shows that if there are 4 red tiles then there will be 2 yellow tiles. This relation can be defined as the number of red tile will always be double the amount of number of yellows tiles. Carter graphs this point as (4,2) where number of red tiles are plotted on x axis and number of yellow tile are plotted on y axis.

Consider the second row of the table. Number of red tiles is 8 while number of yellow tiles is 4, so the point he plots on the graph is (8,4)

Similarly, other points are (12,6) and (16,8)

The length of the bathroom is 3.75 feet.

The perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.

To find the correct statements, let's first use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

We know that the width is 10.75 feet, so we can substitute that into the formula and simplify:

P = 2L + 2W

29 = 2L + 2(10.75)

29 = 2L + 21.5

2L = 7.5

L = 3.75

So the length of the bathroom is 3.75 feet.

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Note that the limit of the expression as x approaches infinity is 1/2.

start by multiplying both the numerator and denominator by the conjugate  expression

√ (x ² - 9x + 1) + x,

this will eliminates the root in the numerator

lim x->∞ [(√(x ² - 9x + 1) - x)  * (√(x² - 9x + 1) + x)] / (√(x² - 9x + 1) + x)

Expanding the numerator

lim x- >∞ [(x² - 9x + 1) - x^2] / (√(x² - 9x + 1) + x)

Simplifying further:

lim x->∞ [(1 - 9/x + 1/ x²)] / (√(1 - 9/x + 1 /x²) + 1)

we can see that the 1/x ² term approaches zero, and the expression simplifies to

lim x->∞ [(1 - 0)]  / (√(1 - 0) + 1)

= 1/2

So it is correct to state that the limit of the expression as x approaches infinity is 1/2.

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The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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In order to solve this, we have to formulate two equations, the first one can represent the total acres of the farm, as mentioned in the question, the farm has 500 acres of land allotted for cultivating corn and wheat, then by adding the acres corn and the acres of wheat, x and y, we should get 500, lilke this:

x + y = 500

The Jhonson family can spend as much as $17,600, then by adding the cost of cultivating corn and the cost of cultivating the wheat we should get 17,600, like this:

corn costs + wheat costs = 17,600

The corn and wheat costs are calculated by multiplying the cost per acre cultivated by the number of acres of each product since an acre of corn costs $40 and an acre of wheat costs 28, we can rewrite the above equation to get:

40x + 28y = 17,600

Then, we have two equations

x + y = 500

40x + 28y = 17,600

By solving for y from the first equation, we get:

x + y = 500

x - x + y = 500 - x

y = 500 - x

By replacing 500 - x for y into 40x + 28y = 17,600, we get:

40x + 28y = 17,600

40x + 28(500 - x ) = 17,600

40x + 28×500 - 28x = 17,600

40x - 28x + 28×500 = 17,600

12x + 14,000 = 17,600

12x + 14,000 - 14,000 = 17,600 - 14,000

12x = 3600

x = 3600/12

x = 300

By replacing 300 for x into y = 500 - x, we get:

y = 500 - 300

y = 200

Then, x = 300 and y = 200. This means he should plant 300 acres of corn and 200 acres of wheat.

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer:

98

Step-by-step explanation:

Hello There!

The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.

This meaning that the sum of the two angles is 180

So to find the missing angle (2) we subtract the given angle (82 in this case) from 180

so ∠2 = 180 - 82

180 - 82 = 98

Hence, the answer is 98°

Answer:

\(y=(\frac{1}{3} )^x-2.\)

Step-by-step explanation:

when the 'x' is increasing, the value of 'y' is decreasing, and if x=0, then y=-1.

Finally, the correct answer is E.

Answer:

3x^2-2x

Step-by-step explanation:

Answer:

121 is the perfect square between 100 and 144.

The prove to show that ΔABC is similar to ΔMNC is explained below.

Similar triangles are triangles that have the same shape but are not necessarily the same size. More precisely, two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Considering the given diagram, we can say:

AM = MC    (Given)

BN = NC     (Given)

BC = BN + NC (addition property of a line segment)

AC = AM + MC (addition property of a line segment)

NC/ BC = MC/ AC = constant

∠ACB = ∠MCN  (Reflexive property)

Thus, ΔABC ~ ΔMNC (Side-Angle-Side theorem)

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Answer:

  B.  quadratic

Step-by-step explanation:

You want to know the kind of function that would best fit the points shown on the graph.

The points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.

A linear function has a constant slope.

An exponential function has a continuously increasing or continuously decreasing slope.

A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.

The equation that best fits the given data will be quadratic.

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Given :

The angle k is the interior angle LMN

m∠LMK = 52 , m∠KMN = 12

So, m∠ LMN = m∠ LMK + m∠ KMN = 52 + 12 = 64

So, the answer is : m∠LMN = 64