1 3/8 - -7/8

-4/5 - 4/5

As a mixed number

Answer:

5x+12

Step-by-step explanation:

To find the perimeter of a rectangle you just add up all the sides

WHich means that the peremiter equals

(x+2)+(x+2)+(x+4)+(x+4) combine like terms and get

5x+12

Answer:

\(\frac{3}{7}\)

Step-by-step explanation:

Divide both sides of the equation by the same term

\(\frac{6}{14} =\frac{14m}{14}\)

Simplify

\(m=\frac{3}{7}\)

Answer:

m = \(\frac{3}{7}\)

Step-by-step explanation:

6 = 14m

Divide both sides by 14.

\(\frac{6}{14}\) = m

Reduce the fraction \(\frac{6}{14}\) to the lowest terms by extracting and canceling out 2.

\(\frac{3}{7}\) = m

Swap sides so that all variable terms are on the left-hand side.

m = \(\frac{3}{7}\)

Hope it helps and have a great day! =D

~sunshine~

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

Here

Given -3x+y=2

y=3x+2

by making table

x. 0. 1 2. 3

y. 2. 5. 8. 11

it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Answer:

1. p^10

2. p^24

Step-by-step explanation:

p^6 x p^4=p^(6+4)=p^10

(p^6)^4=p^(6x4)=p^24

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Bianca runs approximately 146.4 yards across the diagonal of the soccer field.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, the soccer field at Bianca’s school has a length of 120 yards and a width of 85 yards.

Using the Pythagorean theorem, we can find the length of the diagonal of the soccer field:

diagonal = √(120² + 85²)

diagonal ≈ 146.4 yards

Therefore, Bianca runs approximately 146.4 yards across the diagonal of the soccer field.

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If lisa is on her way home in her car, she has driven 24 miles so far, which is three-fourths of the way home, Lisa's total drive is 32 miles.

Let's represent the total length of Lisa's drive as x. We know that she has driven 24 miles so far, which is three-fourths of the total length. We can write this information as:

24 = (3/4) x

To find x, we need to isolate it on one side of the equation. We can start by multiplying both sides by 4/3 to get rid of the fraction:

24 * (4/3) = x

Simplifying, we get:

32 = x

We can say that Lisa has already driven 24 miles, which is three-fourths of the total distance. To find the total distance, we use the equation 24 = (3/4) x, where x represents the total distance.

To solve for x, we multiply both sides of the equation by 4/3 to cancel out the fraction, giving us 32 = x. Therefore, Lisa's total drive is 32 miles.

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The range for this function is (0,800].

What is a geometric progression?

It is a sequence of terms in which the succeeding term is can be found out by multiplying with a constant non zero value.

here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82, hence its a decreasing progression.

so the maximum value in range is 800

as x tends to infinity the equation tends to 0

hence the funtion apporaches 0

so the range will be (0,800]

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Using geometric progression, the range for this function is (0,800].

A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio."

This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

Here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82.

Hence it's a decreasing progression.

So, the maximum value in the range is 800.

As x tends to infinity the equation tends to 0.

Hence, the function approaches 0

So the range will be (0,800].

Therefore, using a geometric progression, the range for this function is (0,800].

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Answer:

volume = 160 cubic units

Step-by-step explanation:

volume = (6 x 4 x 5) + (4 x 2 x 5) = 160 cubic units

Answer:

a=16 b =10 or any other combination that gives 160

a = 20 b=8

a = 32 b = 5

Step-by-step explanation:

The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C  where a and b are sides and C is the angle.

A =40 = 1/2 ab sin 30°

sin 30° = 1/2 so

40 = 1/2*ab*1/2

40 =1/4 ab multiply each side by 4

160 = ab

any combination of sides that gives you 160 will work

Let's check if a=16 b =10

A = 1/2*16*10 sin 30°

A = 1/2*160*1/2

A = 40

Answer:

  19 bags

Step-by-step explanation:

If each bag covers 1 acre, and Mr Daniel has 1 acre to cover, he will use exactly 1 bag. Of the 20 he bought, he will have 19 remaining.

Answer:

C) JFG BECAUSE THAT IS WERE IT CROSSES AT

Answer:

the origen is where they all start

The question is not complete, so i have attached it.

Answer:

Option A - The data may not be reliable because there is an outlier.

Step-by-step explanation:

Looking at the question attached and the number of the gorrila vis - a - vis the time to interact, we can see that majority of the time to interact falls between 2.5 and 3.4.

However, we have a time of 8.3 days which is for gorrila 3.

This 8.3 is far higher than the range of the other values. Thus, we have an outlier because an outlier is a value is much more smaller or larger than most of the other values in a set of given data.

Thus, the data may not be reliable because there is an outlier.

3/4 is the lowest form of the given fraction.

if the highest common factor of numerator and denominator if equals to 1. then  that fraction can't be reduced further and is said to be in the lowest form.

so suppose we are having any fraction of the form \(\frac{a}{b}\)

the lowest form of the given fraction is  given by   \(\frac{x}{y}\)

where x = \(\frac{a}{gcd(a,b)}\) , y = \(\frac{b}{gcd(a,b)}\)

where gcd is greatest common divisor of a , b

we are given fraction = 3/4

=> a = 3 and b = 4

gcd(3,4) = 1

so x = 3/(gcd(3,4)) = 3

y=  4/(gcd(3,4)) = 4

so the lowest form of 3/4 =  \(\frac{x}{y}\)

and x=3 and y=4

and hence lowest form = 3/4

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Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

Answer:13 inches

Step-by-step explanation:

The vertices of abc given the transition rule (x,y)-->(x,y-3) are (-6, -10), (-3, -13) and (-5, -1)

The vertices are given as:

a (-6,-7)

b(-3,-10)

c(-5,2)

The transition rule is given as

(x,y)-->(x,y-3)

So, we have

a' = (-6, -7 - 3)

a' = (-6, -10)

b' = (-3, -10 - 3)

b' = (-3, -13)

c' = (-5, 2 - 3)

c' = (-5, -1)

Hence, the vertices of abc given the transition rule (x,y)-->(x,y-3) are (-6, -10), (-3, -13) and (-5, -1)

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Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

Answer:

1. 5040

2. 20

Step-by-step explanation:

1. using the formula for permutation

nPr=n!/(n-r)!

10P4 = 10!/(10-4)!

=10*9*8*7*6!/6!

then we are left with

=10*9*8*7

=5040

2.using the formula for combination

nCr=n!/(n-r)!r!

6C3=6!/(6-3)!3!

=6*5*4*3!/3!3!

=6*5*4/3*2*1

=20

Answer:

C) are perpendicular to each other

Step-by-step explanation:

A parallelogram must be a rectangle if it's diagonals are perpendicular to each other. Therefore, the correct option is C.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

The parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

Rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

A parallelogram must be a rectangle if it's diagonals are perpendicular to each other.Therefore, the correct option is C.

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Answer:

151 tables

Step-by-step explanation:

If 1 table is used for 6 guests then for 901 guest we need to divide 901 by 6

901÷6= 150.15

Rounding of the answer 151 tables needed

Given:

The given equation is,

Required:

Solve for x.

Answer:

Let us solve the given equation for x.

Final Answer:

The value of x is,

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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If p = 20

q = 5

\({ \sf{3p - \frac{2q}{5}}} \\ \\ \\ { \sf{3(20) - \frac{2(5)}{5}}} \\ \\ \\ { \sf{60 - 2 = 58}}\)

Answer: 10

Step-by-step explanation:

Substitute : 3(20) - 2(5) / 5

Combine Like Terms : 60 - 10 = 50

50 / 5 = 10

Answer:

\(-\frac{1}{3}\)

Step-by-step explanation:

The slope of a line perpendicular to a line is the negative reciprocal of the slope of the line given.

The equation of the line is:

\(3x-y=6\)

\(y=3x-6\)

The slope of this line is 3.

Thus the negative reciprocal would be \(-\frac{1}{3}\)

Answer:

y = 8x - 5

Step-by-step explanation:

Given:

To find:

How to find:

The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).

The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".

Make sure to use the formula:

y = mx + b

Now we insert.

y = 8x <---------- slope

y = 8x - 5 <------ y-intercept and completed slope-intercept equation.

The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.

Answer:

y = 8x - 5

Step-by-step explanation:

because if its has a slope of 8 then m is 8

if the y intercept is -5 the b is -5

y = mx + b

y = 8x -5

The height of the tree to the nearest hundredth of a meter is 29.1m.

We can use the concept of similar triangles to find the height of the tree. The ratio of the height of the tree to the length of its shadow is the same as the ratio of Hunter's height to the length of his shadow.

Let h be the height of the tree.

Hunter's height : h = 1.75m : x (where x is the height of the tree)

Hunter's shadow : Tree's shadow = 1.75m : 30.85m

We know that Hunter is 26.8 meters away from the tree, and the tip of his shadow meets the tip of the tree's shadow.

Hunter's shadow = Hunter's height + Tree's shadow

1.75 + x = 30.85

x = 29.1m

Therefore, the height of the tree to the nearest hundredth of a meter is 29.1m.

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