Write an equation of the line that passes through $\left(-5,-2\right)$ and is (a) parallel and (b) perpendicular to $y=\frac{2}{3}x+1$ .

The correct variations for the formula for speed, given the formulas , are :

The formula for speed shows how fast an object is going and it is based on the distance covered by the object, and the time it takes to cover this distance.

The formula for speed is therefore :

Speed = Distance / time

This can therefore be written in another variation of :

Speed = Distance / time

Distance = Speed x Time

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Answer:

the answer A, B, and E

The inequality that describes the problem is x + 6.5 ≥ 10.

This means that the amount of cereal in the box, represented by x, must be greater than or equal to 3.5 cups (10-6.5=3.5) in order to fill the 10-cup container completely.  This means that the box of cereal must have contained at least 3.5 cups of cereal for Clarence to have enough to fill the 10-cup container completely. To calculate the amount of cereal in the box, we can subtract 6.5 from 10 to get 3.5 cupsTo solve this inequality, we add 6.5 to both sides of the equation, resulting in x ≥ 3.5. This means that Clarence needed at least 3.5 cups of cereal in the new box in order to fill the 10-cup container completely.

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Answer:

congruent

Step-by-step explanation:

two polygons are similar if their corresponding sides are congruent and their corresponding angle measures are equal

24 quarts of green paint should be mixed with 4 cups of black paint. This can be solved by using the concept of cross- multiplication.

Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.

In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.

Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.

Let's convert 4 quarts into cups.

1 quart = 4 cups

4 quarts = 16 cups

Here mix 16 cups of green paint with 2/3 cups of black paint.

Let's use the proportion

Green paint            Black paint

  16                                  2/3

   x                                     4

16/x =2/3 divided by 4

Cross multiplying, we get

16 × 4 = (2/3) x

64 = (2/3) x

x = 64 ÷ (2/3)

x = 64 × (3/2)

x = 192/2

x = 96 cups

96 cups of green paint should be mixed with 4 cups of black paint.

We can covert 96 cups into quarts by dividing by 4

96/4 = 24 quarts

24 quarts of green paint should be mixed with 4 cups of black paint.

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The given fraction can be rewritten as the sum of three smaller fractions. The first small fraction has a numerator of "8x² + 115" and a denominator of "3(x² - 10)". The second small fraction has a numerator of "3x^2 + 39" and a denominator of "3x(x² - 10)". The third small fraction has a numerator of "200" and a denominator of "3x(x² - 10)".

The given fraction can be rewritten as the sum of three smaller fractions.

The first small fraction is made up of a numerator that consists of the expression,

= 8x² + 115

divided by a denominator that consists of the expression,

= 3(x² - 10)

The second small fraction has a numerator of

= 3x² + 39

and a denominator of "3x(x² - 10)".

The third small fraction has a numerator of "200" and a denominator of = 3x(x² - 10)

When these three small fractions are added together, they equal the original fraction.

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Answer: 17

Step-by-step explanation:

Substitute 11 into m:

3 * 11 - (11 + 5)

= 33 - 16

= 17

Answer:

The answer is 17

Step-by-step explanation:

3(11)-(11+5)

33-16

=17

The fraction taken off before 8:00a.m was 15/100, or 15%.

Fraction is a numerical expression which represents a part of a whole or, more generally, any number of equal parts. It is represented by two numbers separated by a line, with the first number indicating the number of parts and the second number indicating how many parts make up the whole. Common fractions are examples of fractions, such as one-half (1/2), one-third (1/3), two-thirds (2/3), and three-quarters (3/4).

This means that all items in the store were discounted by 15% before 8:00a.m. on Labor Day. This was an attractive offer for shoppers who wanted to get the best deals and discounts available. Customers could take advantage of the discounted prices and save money on their purchases. The store's Labor Day sale provided great savings for customers who arrived before 8:00a.m. on the holiday.

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Answer;

i=-7

Step-by-step explanation;

TBH we have all we need its given to us in the question, divide both sides by the same amountt

9i=-63

divide by 9 to leave i alone

the one step equation is solved

Answer:

[tex] \sf \: i = - 7[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of i.

The equation is,

→ 9i = -63

Then the value of i will be,

→ 9i = -63

→ (9i) ÷ 9 = (-63) ÷ 9

→ (i) = (-7)

→ [ i = -7 ]

Hence, the value of i is -7.

In triangle PQR, the ratio of the vertical Length to the horizontal length is 1:1 and in triangle STU the ratio of the vertical length to the horizontal length is 1:2

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 4 girls you could write the ratio as: 1 : 4 (for every one boy there are 4girls) 1 / 5are boys and 4 / 5are girls.

In traingle PQR, the length of the vertical side is 2 and the length of the horizontal side is 2. therefore the ratio of vertical length to horizontal length is 2: 2

dividing through by 2

= 1 : 1

In triangle STU

The length of the vertical length is 3 and the horizontal length is 6. Therefore the ratio of the vertical length to horizontal length is 3: 6

dividing through by 2

= 1 : 2

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The money got by Gabriella is obtained as $6.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Suppose the age of Safia and money got by Gabriella be x and y respectively.

Then, the table can be formed as below,

Name                 Age                       Money

Safia                    x                              $18

Angelique           6                              $9

Gabriella             4                                y

As per the question, the proportionality relation for the ratios can be written as,

x/6 = 18/9

⇒ x = 12

And, 6/4 = 9/y

⇒ y = 6

Hence, the required money got by Gabriella is given as $6.

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For the exponential function, y increases by a factor of 3.

To determine this we take:

The linear equation is y = 3*x

when x = 1

y = 3*1 = 3

when x = 2

y = 3*2 = 6

Then as x increases by one unit, y increases by 3 units.

Then the correct statement would be something like:

"For the linear function, y increases by a sum of 3 each time x increases 1"

The exponential function is:

[tex]y = 3^x[/tex]

When x = 1

[tex]y = 3^1 = 3[/tex]

When x = 2

[tex]y = 3^2 = 3*3[/tex]

when x = 3

[tex]y = 3^3 = 3*3*3[/tex]

So when x increases by 1, we multiply the previous value of y by 3.

Then the correct sentence is something like:

"For the exponential function, y increases by a factor of 3".

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"For the linear function, y increases by a sum of 3 each time x increases 1"

"For the exponential function, y increases by a factor of 3".

Now, According to the question:

Let's Know:

What is Exponential Function?

An exponential function is a Mathematical function in the form f (x) = [tex]a^x[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Now, For the linear function:

y = 3x

when x = 1

y = 3×1 = 3

when x = 2

y = 3×2 = 6

Then as x increases one unit, y increases 3 units.

"For the linear function, y increases by a sum of 3 each time x increases 1"

Now, For the exponential function:

[tex]y = 3^x[/tex]

When x = 1

[tex]y = 3^1[/tex] = 3

When x = 2

[tex]y = 3^2[/tex] = 3×3

when x = 3

[tex]y = 3^3[/tex] = 3×3×3

So when x increases by 1, we multiply the previous value of y by 3.

"For the exponential function, y increases by a factor of 3".

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The number of possible outcomes in the sample space is 3 and the list is {CN, NN, NC}.

A sample space is the set of all possible outcomes in a random experiment. Sample space is usually denoted as S.

Given that, three chocolates remain in a a box of chocolates. one has cherry filling and the other two have nuts inside. you randomly pick a piece for yourself. then you pick a piece for your friend.

Let C be the cherry filled chocolate and N be the nut filled chocolate.

The possible outcomes if the first picked chocolate is not placed back are :

{CN, NN, NC}

The possible outcomes if the first picked chocolate is placed back are :

{CC, CN, NC, NN}

Hence the number of outcomes are 3 and the set is {CN, NN, NC}

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Answer:

1. The sum of all the three interior angles of a triangle is 180 degrees.

2. The base angles of an isosceles triangle are congruent.

3. The measure of the exterior angle of a triangle is equal to the sum of the corresponding interior angles.

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You would need to order 28.21 gallons of milk each week.

To determine how many gallons of milk your business needs to order each week, you need to first calculate the total number of ounces of milk your business uses in a day. To do this, you can multiply the number of ounces of milk used per shake by the number of shakes served per day:

6 ounces/shake * 86 shakes/day = 516 ounces/day

Next, you can divide the number of ounces of milk used per day by the number of ounces per gallon to determine the number of gallons of milk your business uses per day:

516 ounces/day / 128 ounces/gallon = 4.03 gallons/day

Finally, you can multiply the number of gallons of milk your business uses per day by the number of days in a week to determine the number of gallons you need to order each week:

4.03 gallons/day * 7 days/week = 28.21 gallons/week

So, you would need to order approximately 28.21 gallons of milk each week.

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28.21 gallons of milk you need to order each week.

The formula for calculating the amount of milk needed each week would be: (ounces of milk per shake) multiplied by (number of shakes served per day) multiplied by (number of days in the week).

For this example, the formula is:

6 ounces of milk per shake x 86 shakes per day x 7 days in the week = 3,492 ounces of milk per week.

To convert this number to gallons, we need to divide 3,492 ounces of milk by 128 ounces per gallon.

3,492 ounces of milk / 128 ounces per gallon = 28.21 gallons of milk per week.

Therefore, the answer to the question is to order 28.21 gallons of milk each week.

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The four types of rigid transformations are translation, rotation, reflection, and glide reflection.

A rigid transformation, also known as an isometry or congruence transformation, is a type of transformation that preserves the distances and angles between the points in a figure. This means that a rigid transformation does not change the shape or size of a figure, but only its position and orientation in the coordinate plane.

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From P10,000 in full pesos and with no spare change, each person receives P4,000, P,3000, and P3,000, respectively.

$10,000 has been given in total as an allowance.

This idea came about due to the fact that the eldest and the youngest siblings are not meant to receive an equal amount of anything when it is shared among them.

3 individuals should share it.

2 younger siblings and 1 older sibling

Let

the younger sibling receives P4,000

Every younger sibling would receive P3,000

There is no residual in the overall allowance supplied; each person receives the full value of their pesos.

So, from a total of P10,000, each person receives P4,000, P,3000, and P3,000.

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The simplified expression will be (x+7)/(x+3)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

We shall simplify them individually;

x^2 +3x-28

x^2 + 7x - 4x - 28

x(x+7) - 4(x+7)

(x-4)(x+7)

x^2 - 7x+12

x^2 -4x -3x +12

x(x-4) - 3(x-4)

(x-3)(x-4)

Eliminating like terms, therefore;

(x-4)(x+7) / (x-4)(x+3) = (x+7) / (x+3)

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It is not necessary for all three criteria (SAS, SSS, and ASA) to apply in order for two triangles to be congruent.

In order for two triangles to be congruent, all three pairs of corresponding sides must be equal in length and all three pairs of corresponding angles must be equal in measure. This is known as the "side-angle-side" (SAS) criterion for triangle congruence.

It is possible for two triangles to be congruent using only the SAS criterion, in which case you do not need to use the "side-side-side" (SSS) or "angle-side-angle" (ASA) criteria. However, it is also possible for two triangles to be congruent using either the SSS or ASA criteria, or a combination of all three.

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The two way frequency table  is:

                     9th Grade    10th Grade

Left handed       10                   12              

Right handed     111                 103          

A table created to display the distribution of a characteristic's frequency of occurrence in accordance with a specific set of class intervals.

To understand which alternatives appear more or less frequently in the dataset, frequency tables are useful. This is useful for better understanding each variable and determining whether or not variables need to be recoded.

Given:

Total Students= 236

Of those students, 121 are in 9th grade.

So, Number of left handed students in the 9th grade

= 121 - 111

= 10

and, Number of left handed students in the 10th grade

=  236 - (1- + 111 + 103)

= 12

and, Number of right handed students in the 9th grade

= 214 - 103

= 111

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1) The complete arithmetic sequence is; 33, 41, 49, 57, 65, 73

2) The formula for the nth term of the sequence is;  aₙ = 33 + (n - 1)8

The general formula for the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

d is common difference

n is position of term

We are given the sequence as;

33, 41, ____, ____, ____, 73

Using the arithmetic sequence of nth term, we can say that;

a₂ = 33 + (2 - 1)d

33 + d = 41

d = 8

Thus;

a₃ = 41 + 8

a₃ = 49

a₄ = 49 + 8

a₄ = 57

a₅ = 57 + 8

a₅ = 65

This gives the sequence as;

33, 41, 49, 57, 65, 73 with a formula for nth term; aₙ = 33 + (n - 1)8

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Answer: 1/5 is shaded becaus e there are 5 sides the second one is 50

Step-by-step explanation:

The axis of symmetry if the function f(x) = x² - 8x + 17 is solved to get 4

The function f(x) = ax² + bx + c, where a, b, and c are numbers and a is not equal to zero, is a quadratic function.

A parabola is a curve that represents a quadratic function on a graph.

The line that divides the function into two is the axis of symmetry. The axis of symmetry is given by the formula

= b / 2a

Comparing with the equation in the problem

b = 8 and a = 1

= 8 / (2 * 1)

= 8 / 2

= 4

the axis of symmetry is 4

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Answer:

1/(2p4)1/3

Step-by-step explanation:

According to the information, it can be inferred that the bees must travel a distance of 4,803,620.82 km to complete the 30 kg of honey that a hive produces.

To calculate the distance that bees register to produce honey we must perform the following operation.

1. Calculate how many kilometers are equal to the circumference of the earth with the following formula 2*pi*R. In this case we replace the R, by the radius of the earth and we will obtain the distance of the circumference of the earth.

[tex]2\pi r[/tex]

[tex]2\pi 6,371 km = 40,030.1736[/tex]

2. Once we have identified the circumference of the earth, we must multiply it by four to know how much distance the bee will recover to produce one kg of honey.

40,030.1736 * 4 = 160,120.694

3. Finally we must multiply the distance it takes to produce 1kg by 30 to find the distance it takes to produce 30kg of honey.

160,120,694 * 30 = 4,803,620.82

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Answer:

The simplified version is m = -2

Step-by-step explanation:

To simplify this equation, we need to get all of the terms with m on one side of the equation and all of the constants on the other side.

First, we can add 45 to both sides of the equation to get:

-5m + 15 + 45 = 25m - 45 + 45

This simplifies to:

-5m + 60 = 25m

Next, we can subtract 25m from both sides of the equation to get:

-5m + 60 - 25m = 25m - 25m

This simplifies to:

-30m + 60 = 0

Finally, we can divide both sides of the equation by -30 to get:

(-30m + 60) / -30 = 0 / -30

This simplifies to:

m = -2

Thus, the simplified form of the equation is m = -2.

Answer:Fido  ate   -723 more pies  then the winner  

Step-by-step explanation:

[tex]$47\\-$712= -665\\-665\\- 58= -723[/tex]

Hope this helps

Answer:  324 squared

Step-by-step explanation:

ok so you do 3 times 3 times 4 times 3 times 3

The three sides and three angles of a triangle must first be known before you can determine whether it is sine, cosine, or tangent.

The lengths of the sides of the triangle can be determined by employing the trigonometric functions sine, cosine, and tangent with these measurements.

For instance, you can use the sine, cosine, and tangent functions to determine the sides' lengths given the triangle's three angles. The length of the opposite side divided by the length of the hypotenuse is equal to the sine of an angle. The cosine of an angle is the product of the lengths of the sides that are adjacent and the hypotenuse. The length of the opposite side divided by the length of the adjacent side is the tangent of an angle.

The ratios of the sides can be compared to determine whether the triangle is a sine, cosine, or tangent triangle after these lengths have been calculated.

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