Can you describe this transformation?

The numbers 4 and 12  are not the best factors to use because they do not fully simplify the expression

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

Square root of 48

This can be expressed as

√48

Using Letty's solution, we have

√48 = √(4 * 12)

This gives

√48 = 2√12

So, we simplify again

√48 = 2√(4 * 3)

This gives

√48 = 4√3

Hence, the factors are not the best

Instead, she can use 16 and 3

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Answer:

Using the distributive property on 3(x+7), we get:

3(x+7) = 3x + 37

Simplifying the expression, we get:

3(x+7) = 3x + 21

Therefore, in expanded form, 3(x+7) is equal to 3x + 21.

Equation of best fit line on scatter plot is y = 30x + 40

Correct option is D.

A straight line is an infinite one-dimensional shape with no width. An infinite combination of points connected on either side of the point. A straight line has no curves. It can be horizontal, vertical, or slanted. An angle drawn between any two points on a straight line is always 180 degrees.

Given,

Scatter plot of the data of studying time of students

By the graph, point on the line are (0, 40) and (2,70)

Equation of the line

y - y₁ = ((y₂-y₁)/(x₂-x₁))(x-x₁)

y - 40 = ((70-40)/(2-1))(x-0)

y - 40 = (30/1)x

y - 40 = 30x

y = 30x + 40

Hence, y = 30x + 40 is the equation of the best fit line in scatter plot.

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Answer:1 in 3 chance

Step-by-step explanation:

There are 5 green, 3 blue, and 7 red. Add them up 5+3+7=15
Then you put it into a fraction [tex]\frac{5}{15} =\frac{1}{3} \\[/tex]
1 over 3 is your answer

Answer:

7.0094

Step-by-step explanation:

The slide is approximately 12.2 meters away from the monkey bars.

What is Pythagoras Theorem?

You may determine the right angled triangle's missing length using Pythagoras' Theorem. The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is usually the longest, and the hypotenuse (which is between the opposite and the hypotenuse).

We can solve this problem by using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

Let's label the distance between the slide and the monkey bars as "x". We can see that the distance between the slide and the tire swing, and the distance between the tire swing and the monkey bars form the two shorter sides of a right triangle, with the hypotenuse being the distance between the slide and the monkey bars.

Using the Pythagorean theorem, we have:

[tex]x^2 = 7^2 + 10^2\\\\x^2 = 49 + 100\\\\x^2 = 149\\\\x = \sqrt{(149)}[/tex]

x ≈ 12.2 meters (rounded to the nearest tenth)

Therefore, the slide is approximately 12.2 meters away from the monkey bars.

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Answer:

Below

Step-by-step explanation:

I think statistically that all of the scores will fall within 6 standard deviations   .....   3 above the mean and 3 below the mean

 from 85  to 165 is 3 standard deviations

     165 - 85 = 80       80 / 3 = 26.67 = standard deviation

Hmm.....not sure how they get the S.D. is 40 ....hope someone else can help us !    

Standard bellcurve below.... score 125 does not seem to be in the 1 S.D. position of the curve....Kinda close I guess....

 Maybe they are saying from 80 to 165 is TWO Standard deviations....THAT would equal 40.....what have your lessons been using?

The value of x, given the sides in the right - angled triangle, would be 31. 8 °.

We are given side that is opposite the angle, and we are also given the hypotenuse.

This means that we can use the operation of Sin which is :

Sin ( angle ) = Opposite / Hypotenuse

Opposite = 10 units

Hypotenuse = 19 units

The value of x is :

Sin ( x ) = 10 / 19

Sin ( x ) = 0. 5263

x = Sin ⁻ ⁵ ( 0. 5663 )

x = 31. 8 °

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The measure of the hypotenuse of the triangle is 15 cm.

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle.

Given that, in a right-angled triangle, the base is 9 centimeters long and the height is 12 centimeters long. we need to find the measure of the hypotenuse of the triangle

Using the Pythagoras theorem,

9² + 12² = h²

h² = 81+144

h² = 225

h = 15

Hence, the measure of the hypotenuse of the triangle is 15 cm

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The image of the quadrilateral is R' = (-2, -1), S' = (-4, -2), T' = (-5, -4) and U' = (-3, -3)

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

R = (1, -2)

S = (2, -4)

T = (4, -5)

U = (3, -3)

The transformation is given as

90 degrees rotation about the origin

This is represented as

(x, y) = (y, -x)

Using the above as a guide, we have the following:

R' = (-2, -1)

S' = (-4, -2)

T' = (-5, -4)

U' = (-3, -3)

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The coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin are;

M = (1, 2)

N = (2, 4)

P = (4, 5)

Q = (3, 3)

The coordinates of the quadrilateral RSTU is

R = (1, -2)

S =(2, -4)

T = (4, -5)

U = (3, -3)

When the quadrilateral RSTU is rotated 90 degrees about the origin, it forms the quadrilateral MNPQ which has the coordinates

M = (1, 2)

N = (2, 4)

P = (4, 5)

Q = (3, 3)

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Answer: 13 pints

Step-by-step explanation:

she used 27 pints at first (9/10 of the 30)

so she has 3 pints left.

and 16-3 = 13 pints.

Answer:

A. 45/53

Step-by-step explanation:

.............

Answer:

A. 45/53

Step-by-step explanation:

sin ø is A.

have a nice day

We have the following response after answering the given question: inequality   {x | x ≥ ∛9} or [∛9, ∞) in interval notation.

A connection between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. The not equal symbol is often used to indicate that two values are not equal (). Various inequalities are employed to contrast values of all sizes. By changing the two sides until just the variables are left, one may solve many straightforward inequalities. However a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

[tex]x^3[/tex] - 8 ≥ 1

Adding 8 to both sides, we get:

[tex]x^3[/tex] ≥ 9

Taking the cube root of both sides, we get:

x ≥ ∛9

Since ∛9 is approximately 2.08, the inequality is satisfied for all values of x greater than or equal to 2.08. Therefore, the set of all possible values of x that satisfy the inequality is:

{x | x ≥ ∛9} or [∛9, ∞) in interval notation.

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if d=11 in then the volume of the sphere=697.19

[tex]V=\frac{4}{3} \pi d[/tex]

[tex]V=\frac{4}{3} *\frac{22}{7} *5.5^{3} =697.19[/tex]

The amount of room a spherical occupies inside is its volume. Because every point on the sphere's surface is equally spaced from its center, the sphere can be considered a three-dimensional round solid object. The fixed point and fixed distance, respectively, represent the sphere's center and radius. V = 4/3 r3, where r is the radius and V is the volume, is the formula for a sphere's volume. The radius of a sphere is equal to half its diameter. A circle and a sphere are both round, if you compare them. As the sphere is a three-dimensional object rather than a two-dimensional circle, we can estimate its volume and surface area.

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Answer:

77

Step-by-step explanation:

Bisects means that the angle is split in half perfectly thus if angle JKM is 154 then JKR is 154/2 = 77

Therefore, the correct solution for the expression 2/5 + 3/8 is:

2/5 + 3/8 = 31/40

Option B is the correct solution. Answer: B. 16/40 + 15/40 = 31/40

A number is an arithmetic value that is used to indicate quantity. Hence, a number is a mathematical construct that is utilised for counting, measuring, and labelling. As a result, mathematics is built on numbers. As an illustration, this is a single butterfly, and these are four.

We can simplify the expression 2/5 + 3/8 as follows:

First, we need to find a common denominator. The smallest number that both 5 and 8 divide into evenly is 40.

2/5 can be written as 16/40 (by multiplying the numerator and denominator by 8)

3/8 can be written as 15/40 (by multiplying the numerator and denominator by 5)

Now we can add the fractions:

16/40 + 15/40 = 31/40

Therefore, the correct solution for the expression 2/5 + 3/8 is:

2/5 + 3/8 = 31/40

Option B is the correct solution. Answer: B. 16/40 + 15/40 = 31/40

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The prοbability that nο mοre than fοur cοmmittee members are technοlοgically adept is 0.9851, rοunded tο fοur decimal places.

c) By dividing the tοtal number οf applicants whο are nοt technically prοficient (9) by the likelihοοd that any οne οf them wοuld be selected fοr the cοmmittee, it is pοssible tο calculate the anticipated number οf instructοrs οn the cοmmittee whο are nοt technically prοficient:

Number anticipated: 9 * (12/30) = 3.6

Tο the nearest whοle number, we estimate that there will be fοur prοfessοrs οn the cοmmittee whο lack technical prοficiency.

d) We can use the binοmial distributiοn with n=12 (the number οf trials) and p=0.3 tο determine the likelihοοd that at least three members οf the cοmmittee lack technical prοficiency (prοbability οf success, which is defined as selecting a vοlunteer whο is nοt technically prοficient). When X is the number οf technically incοmpetent prοfessοrs οn the cοmmittee, we want tο determine P(X>=3).

P(X>=3) = 1 - P(X<3)

= 1 - P(X=0) - P(X=1) - P(X=2)

[tex]\mathrm{=1 - (12\ choose\ 0)(0.3^0)(0.7^{12}) - (12\ choose\ 1)(0.3^{1})(0.7^{11}) - (12\ choose\ 2)(0.3^2)(0.7^{10)}}[/tex]

[tex]= 1 - 0.00744 - 0.0563 - 0.1667[/tex]

[tex]= 0.7696[/tex]

The likelihοοd that at least three members οf the cοmmittee lack technical prοficiency is 0.7696, rοunded tο fοur decimal places.

e) Using the same binοmial distributiοn as in part d), we can calculate the likelihοοd that at mοst 4 members οf the cοmmittee are nοt technically adept by adding the prοbabilities fοr X=0, 1, 2, 3, and 4:

P(X<=4) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)

[tex]\mathrm{= (12\ choose\ 0)(0.3^0)(0.7^{12}) + (12 \ choose\1)(0.3^1)(0.7^|{11}) + (12 \ choose\2)(0.3^2)(0.7^{10})}\\\mathrm{ + (12 \ choose\3)(0.3^3)(0.7^9) + (12 \ choose\4)(0.3^4)(0.7^8)}[/tex]

[tex]= 0.9851[/tex]

Rounding tο four decimal places, the likelihood that no more than four committee members are technοlogically savvy is 0.9851.

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Given:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

put the given values of x nd y in equation∼

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:

x - 7 + 2y = 15

Step-by-step explanation:

Given expression,

→ x - 7 + 2y

Now we have to use,

→ y = 5

→ x = 12

Then the value of expression is,

→ x - 7 + 2y

→ 12 - 7 + 2(5)

→ 12 - 7 + 10

→ 12 + 3

→ 15 => {final answer}

Therefore, the answer is 15.

Answer:

Let's call the time it takes for Kayleigh and Allison to meet each other "t".

We know that Kayleigh runs at a constant rate of 5 miles per hour, so the distance she covers in "t" hours is given by:

Kayleigh's distance = Kayleigh's speed * time = 5t

Allison runs at a constant rate of 3 miles per hour, but she has a 1 mile head start. This means that by the time Kayleigh and Allison meet each other, Allison will have run "t" hours minus the time it took her to cover her head start distance. The time it takes Allison to cover her head start distance is:

Time for Allison's head start = distance / speed = 1 / 3 = 0.33 hours (rounded to two decimal places)

Therefore, when Kayleigh and Allison meet each other, Allison will have run:

Allison's distance = Allison's speed * (t - 0.33) = 3(t - 0.33)

Now, we know that when they meet, Kayleigh's distance is equal to Allison's distance:

Kayleigh's distance = Allison's distance

5t = 3(t - 0.33)

Simplifying and solving for "t", we get:

5t = 3t - 1

2t = 1

t = 0.5

Therefore, it takes Kayleigh and Allison 0.5 hours (or 30 minutes) to meet each other in the race.

Jevonte's rate of mowing is 1.5 lawns per hour.

A rate in mathematics is an indicator of how one quantity has changed in relation to another, usually given as a ratio or fraction. Rates are frequently used to explain the relationship between two quantities as they vary through time, space, or another variable. For instance, whereas interest rates track the evolution of money over time, speed tracks the change in distance per unit of time. Rates are used to describe and study numerous phenomena in several disciplines, including physics, economics, and finance.

Given that, Jevonte mowed 6 lawns in 4 hours.

Thus,

Rate of mowing = Number of lawns / Number of hours

Rate of mowing = 6 lawns / 4 hours

Rate of mowing = 1.5 lawns per hour

Hence, Jevonte's rate of mowing is 1.5 lawns per hour.

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The surface area of the rectangle will be 24 meters. The correct option is A.

The surface area of the rectangular plate is calculated by applying the formula for the area of the rectangle.

A rectangle is a type of quadrilateral with four sides and four right angles. The opposite sides of a rectangle are parallel and equal in length, and the opposite angles are congruent (equal). This means that a rectangle has two pairs of congruent sides and four right angles.

Surface area = Length x Width

Surface area = 6 x 4

Surface area = 24 square meters

Therefore, the surface area of the rectangle will be 24 square meters.

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The complete question is given below.

Find the area of the upper surface of the rectangular plate having a length of 6 meters and a width of 4 meters.

1. A point less than 1 in Katrina's number line is [tex]\frac{3}{8}[/tex]

2. A point greater than 1 in Eric's number line is 1[tex]\frac{1}{4}[/tex]          

A number line is a straight line with numbers placed at equal distances from each other.

To identify a line less than 1 in a number line divided into 8, we need to know the value of what each point would be

Each values in Katrina's number line should be 0, [tex]\frac{1}{8}[/tex], [tex]\frac{2}{8}[/tex] , [tex]\frac{3}{8}[/tex],  [tex]\frac{4}{8}[/tex],  [tex]\frac{5}{8}[/tex],  [tex]\frac{6}{8}[/tex],  [tex]\frac{7}{8}[/tex]  1

To identify the line greater than 1 in a number line divided into 4, we need to know the values of what each points would be

Each values in Eric's number line should be 1, 1[tex]\frac{1}{4}[/tex], 1[tex]\frac{2}{4}[/tex], 1[tex]\frac{3}{4}[/tex], 2

Check the images below to get a proper view of how your number line should look like.

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Answer:

The answer is D hope this helps:)

Step-by-step explanation:

The amount of dressing required to serve 11 guests who still want salad is therefore around 11 ounces. The answer, when adjusted to the closest whole ounce, is 11 ounces.

Round the figure up if 5, 6, 7, 8, or 9 follow the amount you are rounding. For instance, 40 when rounded to a nearest ten is 38. Round the figure down if it is followed by the digits 0, 1, 2, 3, or 4. 33 becomes 30 if it is adjusted to the nearest ten.

Many variables, such as the salad's serving size, the type of sauce, and personal preferences, will affect how much dressing is needed for 11 dinner guests. But as a general rule, a salad with dressing serving size is roughly 2-3 teaspoons (1 ounce = 2 tablespoons).

Assuming that each visitor will consume 2 tablespoons of dressings, the necessary quantity of dressing would be:

11 guests x 2 tablespoons/guest = 22 tablespoons

Tablespoons to ounces conversion:

22 tablespoons / 2 tablespoons/ounce = 11 ounces

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An equation that describes this function include the following: C. 9x - 7 = y.

In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.

This ultimately implies that, an input value (x-value) represents the value on the x-axis of a cartesian coordinate while a output value (y-value) represents the value on the y-axis of a cartesian coordinate.

Based on the information provided, an equation that models the situation is given by;

9x - 7 = y.

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Answer:

30 miles

Step-by-step explanation:

(12 miles/inch)(2.5 inches) = 30 miles

Answer:

There are 30 + 40 = 70 sections reserved for orange and blue tiles. This means there are 100 - 70 = 30 sections left for other colors.

To express the fraction of the mosaic wall left for other colors, we can write:

30 sections left / 100 total sections = 3/10

Therefore, the fraction of the mosaic wall left for other colors is 3/10.

The measure of the angle x with its supplementary angle is 51.7°.

The difference between complementary and supplementary angles is that complementary angles add up to 90 degrees, whereas supplementary angles add up to 180 degrees. In other words, the total of two complimentary angles' measurements equals 90 degrees. The total of the measurements of two additional angles is 180 degrees.

Let us suppose the measure of angle = x.

The measure of its supplementary angle is 180° - x.

From the given statement we have:

x = (180° - x) - 76.6

2x = 103.4

x = 51.7

Hence, the measure of the angle x with its supplementary angle is 51.7°.

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The correct expIanation is B. When 7 3 8 is muItipIied by a number greater than 1, the product is Iess than 7 3 8.

A fraction is a way of representing a part of a whoIe or a ratio between two quantities. It consists of a numerator (top number) and a denominator (bottom number) separated by a horizontaI Iine.

To compare the two fractions, we can convert them to decimaIs.

7 3/8 is equaI to 7.375, and

4/5 is equaI to 0.8.

MuItipIying 7.375 by 0.8, we get:

7.375 × 0.8 = 5.9

This means that 7 3/8 muItipIied by 4/5 is Iess than 7 3/8, since the product is 5.9 which is Iess than 7.375.

Therefore, the correct expIanation is B. When 7 3 8 is muItipIied by a number greater than 1, the product is Iess than 7 3 8.

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Answer:

y=5/2x-7/2

Step-by-step explanation: