Help pls thank u 48 points

Answer:

1. Choclate Drink

2. Coffee

3. 19 % difference

4.  1 % difference

5. 42% difference

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles:

10x+ 2 = 25 + 2x + 1

Solve for x

10x -2x = 25 + 1 - 2

8x = 24

x = 24/8

x = 3

The slope of the line for the given condition is 10.

A line's slope is defined as the ratio of the change in y coordinates to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Given the graph for the pool being filled with water,

in the graph, the x-axis represents the number of minutes,

the y-axis represents the gallons of water filled,

equation of line is y = mx + c

c is the y-intercept = 2

where m is the slope of the line,

m = (y₂ - y₁)/(x₂ - x₁)

or slope of the line also shows the rate of change,

a given rate of change is  10 gallons per minute

so 10 is the slope of the line

m = 10

equation is y = 10x + 2

Hence slope is 10.

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Answer:

V = 4/3 units

Step-by-step explanation:

See attachment for calculation.

Then we substitute for y and z in the rewritten equation

x = 6 - 2y - 3z, where

y = 1

z = 2/3

x = 6 - 2(1) - 3(2/3)

x = 6 - 2 - 2

x = 2

Recall I stated that the volume of a rectangular box is

V = xyz, now we substitute for all the unknown variables.

V = 2 * 1 * 2/3

V = 4/3 units.

Answer:

You will have earned $113 in interest.

Step-by-step explanation:

After investing for 4 years at 3% interest, your initial investment of $900 will have grown to $1,013.

To find the amount you need to invest, we can use the formula for simple interest:

\(\displaystyle\sf \text{{Interest}} = \text{{Principal}} \times \text{{Rate}} \times \text{{Time}}\)

Here, the principal is the amount you need to invest, the rate is 3% (or 0.03 as a decimal), and the time is 4 years. We can rearrange the formula to solve for the principal:

\(\displaystyle\sf \text{{Principal}} = \frac{{\text{{Interest}}}}{{\text{{Rate}} \times \text{{Time}}}}\)

Plugging in the given values, we get:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.03 \times 4}}\)

Simplifying further:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.12}}\)

Calculating the division:

\(\displaystyle\sf \text{{Principal}} = 7500\)

Therefore, you will need to invest $7500 at 3% to have earned $900 in interest in 4 years.

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?

Money earned by Ellen per hour = $20.

Number of hours she works per day = 8 hours.

Money she'll make per day = 20×8 = 160

Hence, the answer is $160.

Answer:

Step-by-step explanation:

Givens

(x - 1)(6x - 5) = 0

Solution

Either one of these can be made into 0 by solving the binomials in the brackets.

x - 2 = 0               Add 2 to both sides

x -2 +2= 0+2       Combine

x = 2

6x - 5 = 0             Add 5

6x -5+5 = 0+5     Combine

6x = 5                   Divide by 6

6x/6=5/6

x = 5/6

Answer

Integer Answer: x = 2

Fractional Answer x = 5/6

The equivalent expressions to \(24^{-7}\) are given as follows:

C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)

F. \((24^3 \times 24^4)^{-1}\)

Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.

The exponent in the denominator can be moved to the numerator with the changed signal, hence:

\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)

Applying the power of power rule, we multiply the powers, hence:

\((24^7)^{-1} = 24^{-7}\)

When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:

\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)

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Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Answer:

  A.  324 units³

Step-by-step explanation:

You want the volume of a triangular prism with triangle base 9 units, triangle height 4 units, and prism length 18 units.

The volume of the triangular prism is the product of its base area and its length:

  V = Bl

The base area is the area of a triangle.

  B = 1/2bh

Then the volume of the prism is ...

  V = (1/2bh)l = 1/2(bhl) = 1/2(9)(4)(18) = 324 . . . . cubic units

The volume of the triangular prism is 324 units³.

__

Additional comment

You will note that this is half the volume of a rectangular prism with the same overall dimensions.

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Answer:

-24

Step-by-step explanation:

goes by -5

Answer:

-24

Step-by-step explanation:

We are subtracting 5 each time

1-5 = -4

-4-5 = -9

-9-5=-14

-14-5=-19

-19-5 =-24

The fifth term is -24

Answer and Step-by-step explanation:

We can eliminate answer choices 2 and 4, since the graphs are shading below the line, which means y is less than or less than or equal to the values.

The answer is the first answer choice.

This is because this inequality matches up with the graph.

Everything is shaded below, and y is less than, so it matches up.

3 is the y-intercept.

The slopes match up as well.

#teamtrees #WAP (Water And Plant)

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Answer:

y = 3x - 9

Step-by-step explanation:

To write a line with a slope of 3, set the coefficient of x to be 3:

y = 3x

But notice, if we evaluate x when it is equal to 2, we get 2*3=6, but we want it to be -3. Therefore, we just subtract 9 from the equation:

y = 3x - 9

9514 1404 393

Answer:

  x = 36

Step-by-step explanation:

The parallel lines divide the transversals proportionally, so ...

  x/60 = 24/40

  x = 60(24/40) = 60(3/5)

  x = 36

The composite figure has an area of 142 square yards

The composite figure has one square, right triangle, two rectangles

Area of square = side × side

=8×8

=64 yards

Area of triangle =1/2×8×6

=24 square yards

Area of 1st rectangle = 3×6

=18 square yards

Area of 2 nd rectangle = 9×4

=36 square yards

Total area is sum of square, rectangles and triangle

total area = 64+24+18+36

=142 square yards

Hence, the composite figure has an area of 142 square yards

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The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Answer:

the substance in chart above

Step-by-step explanation:

that has greatest number of atom is each molecule

For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

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Answer:

Center line = 46

UCL = 46.84852

LCL = 45.15148

Step-by-step explanation:

Given:

Standard deviation = 0.8

Mean, u = 46

Sample size, n= 8

First calculate the estimated standard deviation:

\(s = \frac{\sigma}{\sqrt{n}} = \frac{0.8}{\sqrt{8}} = 0.282843\)

a) The center line, X', would be the average across all components. Here the average across all 960 bottles is 46

Therefore,

\( X' = 46 \)

b) The upper control limit, UCL:

UCL = u + 3s

= 46 + 3(0.28284)

= 46 + 0.84852

= 46.84852

c) The upper control limit, LCL:

LCL = u + 3s

= 46 - 3(0.28284)

= 46 - 0.84853

= 45.15148

We need to graph the next function:

This is a parabola, and we need 3 points to graph it.

The x-coordinate of a parabola is computed as follows:

where a and b are the coefficients of the parabola. Substituting with a = 1, and b = -6, we get:

The y-coordinate of the vertex is found substituting xV into the equation as follows:

The vertex is the point (3, -13)

Substituting x = 2 into the equation of the parabola, we get:

Substituting x = 4 into the equation of the parabola, we get:

Then, the parabola passes through the points (2, -12) and (4, -12). Connecting these points and the vertex, we get the next graph:

The line y = 3 is shown in green.

From the graph, we can see that the parabola (x²-6x-4, in blue) is greater than 3 (in green) for the next values of x:

x < -1 or x > 7

The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

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Answer: (-3^4^-7)^-3 can be expressed with positive exponents as (-1/3^4^7)^3.

Step-by-step explanation:

First, we need to evaluate the exponents of the expression from the highest power to the lowest power. Since the exponent of 7 is negative, we need to apply the rule that a negative exponent indicates a reciprocal. Therefore, we can rewrite the expression as (-3^4^-1/7)^-3.

Next, we can simplify the expression -1/7 by flipping it to 7^-1. Therefore, we now have (-3^4^7^-1)^-3.

We can now evaluate the exponent of 4, which gives us (-3^16384^-1)^-3.

Finally, we can simplify 16384^-1 by flipping it to 1/16384, which gives us (-1/3^1/16384)^3.

This expression can be written using only positive exponents as (-1/3^4^7)^3.

9514 1404 393

Answer:

  45°

Step-by-step explanation:

The base angles in any isosceles triangle are congruent.

  ? = 45°

__

The acute angles in any right triangle are complementary.

  ? = 90° -45° = 45°

__

However you decide to think about it, you get ? = 45°.

Answer:

the answer is third option B