Use the graph or table to find the equation that represents the relationship.

Answer:

the value of 2/3 ^-2 is 18

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, 5 ) into the partial equation

5 = 9 + c ⇒ c = 5 - 9 = - 4

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)

2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)

3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)

4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)

5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)

6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)

7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)

8) [tex]m\angle CDE=m\angle A[/tex] (division)

9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)

10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)

Answer:

y = - 2x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (3, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = - 2x - 1 ← equation of line

a cup of all-purpose flour as an ingredient

White sugar, 2 tablespoons

Baking powder, two teaspoons

1 salt shaker, or as desired

a cup of milk

Vegetable oil, two tablespoons

1 beaten egg

Directions

In a sizable basin, mix the flour, sugar, baking soda, and salt. Pour the milk, oil, and egg into the center well that has been created. Blend until uniform.

Over medium-high heat, preheat a griddle or frying pan with a little oil. For each pancake, pour or scoop about 1/4 cup of batter onto the griddle; cook for 1 to 2 minutes, or until bubbles form and the edges are dry. The opposite side should be browned after flipping. Use the leftover batter to repeat.

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Using the relation between velocity, distance and time, it is found that:

a. The equation used to find the distance of the flowerbed from the​ hive is: d = 540 feet per minute x 1.6 minutes.

b. The distance of the flower bed from the hive is: 864 feet.

Velocity is given by the distance divided by the time, as follows:

v = d/t

In the context of this problem, we have that:

The times are as follows:

The sum of this times is of 22 - 18 = 4 minutes, hence:

[tex]t_1 + t_2 = 4[/tex]

During the first step, that is, from hive to flowerbed, the velocity is 1.5 times greater than during the second step, thus the second time is 1.5 times the first time, that is:

[tex]t_2 = 1.5t_1[/tex]

Then the first time is calculated as follows:

[tex]1.5t_1 + t_1 = 4[/tex]

[tex]2.5t_1 = 4[/tex]

[tex]t_1 = \frac{4}{2.5}[/tex]

[tex]t_1 = 1.6[/tex]

The velocity during this time was of 9 feet per second = 540 feet per minute, for 1.6 minutes, hence the equation is:

d = v x t

d = 540 feet per minute x 1.6 minutes.

d = 864 feet.

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Probability that an ace is pulled from the deck = A/T=4/52=1/13

52 cards are there in all.

Four aces are found in all of the card A's.

Thirteen spades in all.

Probability that an ace is pulled from the deck = A/T=4/52=1/13

likelihood that a spade will be the next card drawn =S/T=13/52=1/4

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​

Answer:

360

Step-by-step explanation:

There are 6 spaces and 4 people.

_ _ _ _ _ _

The first person to choose a seat can choose any of the 6 seats.

The second person can choose any of the 5 remaining seats.

The third person can choose any of the 4 remaining seats.

The fourth person can choose any of the 3 remaining seats.

Now, we do 6 x 5 x 4 x 3 to figure out the total number of ways they can sit in the seats.

6 x 5 x 4 x 3 = 360 ways

We want to create a real-life reasonable problem in which we can apply the laws of exponents.

Using a compound interest example;

Word Problem:

Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.

Solving the word problem;

We have the following parameters;

Recall that the formula for compound interest is;

Substituting the given values;

Therefore, the solution to the problem is;

The final

The linear equation that represents the problem is  4w + 30 = 150.

The dimension(width and length) of the rectangle is 30 cm and 45 cm .

A rectangle is a quadrilateral with 4 sides.

Opposite sides of a rectangle are equal to each other.

Opposite sides of a rectangle are parallel to each other.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Hence, the perimeter of the rectangle is 150 cm. The length is 15cm greater than the width.

Therefore,

perimeter of rectangle = 150 cm

l = 15 + w

Hence,

150 = 2(15 + w + w)

150 = 2(15 + 2w)

150 = 30 + 4w

Therefore, the linear equation to represent the problem is  4w + 30 = 150.

Let's solve for the dimension of the rectangle.

4w + 30 = 150.

4w = 150 - 30

4w = 120

w = 120 / 4

w = 30 cm

L = 15 + 30 = 45 cm

Therefore,

length = 45 cm

width = 30 cm

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Answer:

1. 1.4, 1 5/8, 12/5, 8/8

2. 0.88

3. 1/4 and 8/8

4. 12/5 and 2/100

5. 1 5/8 and 1.625

6. 1 1/2

Explanation

Step 1

apply distributive property

Step 2

add similar terms and order

so, the answer is

I hope this helps you

Answer:

Explanation:

An exponential decay function is generally given in the below;

where a = initial amount

r = percentage rate of decrease in decimal

t = number of years

Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;

When t = 8, let's go ahead and solve for y;

AnswerAnswerAnswer:

mutiply 14 by 6704

Step-by-step explanation:

The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

As per the given decimal grid,

The number of colored raw = 8

The number of colored columns = 3

Total grids = 8 x 3 = 24

Hence "The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24".

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The length of XY=19.894 cm when the angle XYZ=90° and angle YZX=61° and the length of hypotenuse=17.4 cm. Using the property of trigonometry, a=b.sinα/sinβ.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc).

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

Here,

a=b.sinα/sinβ

=17.4·sin(90°)/sin(61°)

=19.89436 cm

≈19.9 cm

When the hypotenuse is 17.4 cm long and the angles XYZ and YZX are 90° and 61°, respectively, the length of XY is 19.894 cm. Using the trigonometric formula a=b.sinα/sinβ.

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Cutting at less than a right angle to the axis but more than the angle made by the side of the cone produces an ellipse.

Therefore, with this above statement, the statement which best describes how to slice a cone so that the resulting cross-section is an ellipse is

A plane slicing the cone diagonally without intersecting the base

The correct option, therefore, is OPTION B

The square root of a number can also be negative number so x could also be -9

Square root of a number is the number such that if it is multiplied by itself we get the square. The opposite of squaring an integer is finding its square root. As we know multiplication of two negative numbers produce a positive number. this is the reason why square of both positive and negative numbers are both positive. therefore, square root of a number can also be positive or neegative both. That is why we can't take square root of negative numbers.

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Answer:

Every number that is greater than 6

The probability that out of 5 pencils taken, 2 are blue and 3 are black is 0.4381.

Probability simply means the likelihood that something will occur or happen.

In this case, the the box contains 8 blue and 4 black pencils. The probability of drawing 2 blue balls will be:

= 8/12 × 7/11

= 0.4242

The probability of drawing 3 blacks will be:

= 4/12 × 3/12 × 2/12

= 1/3 × 1/4 × 1/6

= 0.0139

The probability will be the addition of the values. This will be:

= 0.4242 + 0.0139

= 0.4381

The probability is 0.4381.

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Answer:

The percent change in attendance from the 2014 to 2015 school year is a 11.5385% decrease, or 12% when rounded.

Make sure to mark as Brainliest if this is correct so others know that this is the correct answer.

Answer:

r u cheating or just need "HELP"

Step-by-step explanation:

The value of ∠CBD is  68° and the value of ∠ABC is 22°

Given

Angle CBD = 4x + 52

Angle ABC = 8x − 10

If BA is perpendicular to BD, then ∠BAD = 90°

∠BAD = ∠CBD + ∠ABC

On substituting this values into the formula:

4x + 52 +  8x − 10 = 90

12x + 42 = 90

Add -42 to both sides

12x + 42 - 42 = 90 -42

12x = 48

x = 48/12

x = 4°

Here,

∠CBD = 4x + 52

∠CBD = 4 x 4 + 52 = 16 + 52 = 68°

Then,

∠ABC = 8x − 10

∠ABC = 8 x 4 − 10 = 32 - 10 = 22°

That is,

The value of ∠CBD is  68° and the value of ∠ABC is 22°

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Answer:

68 degrees

Step-by-step explanation:

got it right on khan academy

Answer:

8.5 cm

Step-by-step explanation:

See attached worksheet.

Opposite 63 is ML (we are not after that)

Adjacent is MN

Hypotenuse is 18.8

Choose adjacent + Hypotenuse to find MN

AH - CAH, cos

Cos63 = A/18.8

x18. 8

18.8 x Cos63 = A

8.535.... = A

So, MN = 8.5cm

Ans: C

Hope this helps!

The rate of change are:

a. 3 ft/min

b. 0.5 ft/min

c. -2.2 ft/min

The formula for finding the rate of change of a relationship is given as:

Rate of change = Change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

a. (2, 8) = [tex](x_1, y_1)[/tex]

(5, 17) = [tex](x_2, y_2)[/tex]

Rate of change = (17 - 8)/(5 - 2)

Rate of change = 9/3

Rate of change = 3 ft/min

b. (3.4, 6.8) = [tex](x_1, y_1)[/tex]

(7.2, 8.7) = [tex](x_2, y_2)[/tex]

Rate of change = (8.7 - 6.8)/(7.2 - 3.4)

Rate of change = 1.9/3.8

Rate of change = 0.5 ft/min

c. (3/2, - 3/4) = [tex](x_2, y_2)[/tex]

(1/4, 2) =  [tex](x_2, y_2)[/tex]

Rate of change = (2 - (-3/4))/(1/4 - 3/2)

Rate of change = 11/4 / -5/4

Rate of change = 11/4 × -4/5

Rate of change = -11/5 = -2.2 ft/min

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Answer:

The x intercept is 3.2, and the y intercept is -32.

Step-by-step explanation:

give brainiest

y-intercept is -32, x intercept is 3.2

Step-by-step explanation:

y-int is whatever b is in y=mx+b

x-int is whatever makes the equation equal to zero

Option (B) describes the correct unique possibilities of the given triangle.

So, according to the given image:

Therefore, option (B) describes the correct unique possibilities of the given triangle.

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The total amount earned from mowing lawns by George is $50

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

Earnings percentage = 140%

Angel total earnings in mowing lawns = $70

The amount earned from mowing lawns by George is then calculated as

Angel total earnings in mowing lawns = Earnings percentage  x Total amount earned from mowing lawns by George

Substitute the known values in the above equation

So, we have

70 = 140% x Total amount earned from mowing lawns by George

Divide both sides by 140%

Total amount earned from mowing lawns by George = 50

Hence, the total amount is $50

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We can infer that we have sufficient evidence to reject the null hypothesis and that the true mean is significantly lower than 6.7 at 10% of significance if we compare the p value and the significance level given =0.05 and observe that p'.

Hypothesis test: A statistical hypothesis test is a technique for determining if the available data are sufficient to support a specific hypothesis. We can make probabilistic claims regarding population parameters thanks to hypothesis testing.

Data are provided and noted.

X=6.8 display the sample mean

σ= 0.9 show the population's standard deviation.

n= 280 samples taken

μο=6.7 the value that we wish to test should be represented

α=0.1 signify the hypothesis test's level of significance.

The stat would be represented as z. (variable of interest)

p' indicate the test's p value (variable of interest)

Name the prevailing and competing hypothesis

The system of hypothesis must be tested to see if the true mean is below the criteria.

Null hypothesis:  μ ≥ 6.7

Alternative hypothesis: μ < 6.7

Applying a z test to compare the actual mean to the reference value is preferable if the sample size is greater than 30 and we are aware of the population variation. The statistic is given by:

z=(X-μο)/σ[tex]\sqrt{n}[/tex]  ......(1)

z-test: "enables the comparison of group means. One of the most widely used tests, it is used to determine whether the mean is (higher, lower, or not equal) to a given value ".

Calculate the statistic

We can replace in formula (1) the info given like this:

z=(6.8-6.7)/0.9[tex]\sqrt{280}[/tex]

P-value

Since is a one sided test the p value would be:

p'=p(z<0.0066)

We can infer that we have sufficient evidence to reject the null hypothesis and that the true mean is considerably lower than 6.7 at 10% of significance if we compare the p value and the significance level given =0.1 and observe that p'.

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Answer:

w = 35

Step-by-step explanation:

29 + 17w = 624

subtract 29 from both side

17 w = 595

divide both sides by 17

w = 35

It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.

This is shown as follows:

6 + 5 = 11 > 8

5 + 8 = 13 > 6

8 + 6 = 14 > 5

Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.

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True, the segments 6, 5, and 8 form a triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let ABC is a triangle

AB=6

BC=5

CA=8

To form a triangle the sum of any two sides must be greater than the third side.

AB+BC>CA

6+5>8

11>8

BC+CA>AB

5+8>6

13>6

CA+AB>BC

8+6>5

14>5

It satisfies the condition for forming a triangle.

Hence the segments form a triangle.

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Answer:

x = 58°

∠P = 58°

∠PQR = 64°

Step-by-step explanation:

If you add the two nonadjacent angles together they will equal the exterior angle. Setup up an equation using that info.

[tex]58 +x=2x[/tex]

Solve for x.

[tex]58 +x-x=2x-x\\58=x[/tex]

Since ∠P is the same as x, ∠P = 58°

To find ∠PQR, add ∠P and ∠R together and then subtract from 180°. You subtract from 180° because the sum of the three angles of a triangle equal 180°.

58 + 58 = 116

180 - 116 = 64°

∠PQR = 64°