Practice 21: Combine the like terms to make a simpler expression
A. -3n-7+6n + 1
B 7x+5-3x
D. 12x² -5+7x² - 11x
a)
C. 6x + 4 + 15-7x
E 6g + 11 + 8g² - 15w
1 point

Answer: B. Completely Randomized Design

Step-by-step explanation:

A completely randomized design is an experimental design such that treatments are assigned at random completely in order for each experimental unit to have same chance of receiving treatment.

In this scenario, since all the dogs are randomly assigned treatment by picking a card without taking into consideration other factors, then we can infer that thus is a completely randomized design.

Answer:

(a) 1/6. One out of six sides will give you the desired result.

(b) 3/6. 3 out of 6 sides will give you the desired result.

(c) 2/3. 4 out of 6 sides will give you the desired result.

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer: Choice 1

3(MC) = SC

=====================================================

Explanation:

The three medians intersect at the centroid, which is point M in this case. The intersecting medians subdivide themselves in the ratio 2:1

This means that SM is twice as long as MC. We can say SM = 2MC

Then by the segment addition postulate, we know that:

SC = SM + MC

SC = 2MC + MC

SC = 3MC

3(MC) = SC

So having three copies of MC glued together will form segment SC.

The same idea applies for the other medians also (EK = 3EM and RL = 3ML).

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.

Answer:

1/10

Step-by-step explanation:

Please see the attached photo. Hope it helps! :D

Answer:

\( x = \dfrac{1}{10} \)

Step-by-step explanation:

\( 4^{\frac{3}{4}} \times 2^x = 16^{\frac{2}{5}} \)

\( (2^2)^{\frac{3}{4}} \times 2^x = (2^4)^{\frac{2}{5}} \)

\( 2^{2 \times \frac{3}{4}} \times 2^x = 2^{4 \times \frac{2}{5}} \)

\( 2^{\frac{3}{2}} \times 2^x = 2^{\frac{8}{5}} \)

\( 2^{\frac{3}{2} + x} = 2^{\frac{8}{5}} \)

\( x + \dfrac{3}{2} = \dfrac{8}{5} \)

\( 10x + 15 = 16 \)

\( 10x = 1 \)

\( x = \dfrac{1}{10} \)

Answer:

20720

Step-by-step explanation:

-3x^2y +4x

-3(-4)^2*2 + 4(-4)

= 12^4 -16

20736 - 16

= 20720

I hope this helped!

Answer:

When x = -4 and y = 2, -3x^(2y) + 4x is -784.

Step-by-step explanation:

-3x^(2y) + 4x

Substitute given variables.

-3(-4)^(2(2)) + 4(-4)

Multiply 2 and 2.

-3(-4)^4 + 4(-4)

Multiply -3 and -4.

Raise -4 to the 4th power.

-3(256) + 4(-4)
Multiply -3 and 256.

-768 + 4(-4)

Multiply 4 and -4

-768 + (-16)

Add -768 and -16.

-784

Answer:

m = -5/2

Step-by-step explanation:

Answer:

awnser is down below mark brainliest for extra work!

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

5

-2

= -2.5

θ =

arctan( ΔY ) + 180°

ΔX

= 111.80140948635°

ΔX = 10 – 14 = -4

ΔY = -7 – -17 = 10

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -2.5x + 18

or

y =  

- 5 x

2

+ 18

When x=0, y = 18

When y=0, x = 7.2

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

25, you have to set up a ratio between 5 to 7 and 35.

Step-by-step explanation:

10% of the time, the population mean will go below $1,500 or exceed $2,100.

Given that,

Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.

We have to fill the blank.

We know that,

90% of the time, the real population mean will fall in the range of $1,500 and $2,100.

The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.

So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.

Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.

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Answer:

(4, 6)

Step-by-step explanation:

if it's a reflection then I believe it would just look exactly the same only with positive numbers

sorry if it's wrong, but hope it helps :)

Answer:

(4, 6)

Step-by-step explanation:

In the question it says "reflected over the X-axis and the Y-axis?"

When reflected you get (4, 6)

The opposite of Negative is positive

If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Answer:

Step-by-step explanation:

A) 26*26*26 =17576

B)26*25*24=15600

C)26*26=676

D) 26

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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The angle made by the ladder with the truck is 61.78°

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given that, The ladder of a fire truck is extended to reach a window of an apartment complex. The ladder is extended to a length of 55 feet and is attached to the truck bed which is 26 feet from the building.

The situation is creating a right triangle, hence, using trigonometric ratio,

Since, we know, the cosine of an angle is the ratio of adjacent side to hypotenuse.

Therefore, cosx = 26 / 55

x = cos⁻¹(26 / 55)

x = 61.78°

Hence, the angle made by the ladder with the truck is 61.78°

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

the fifth number is 11

Step-by-step explanation:

8,11,13 and 17, x

the mean is =12  ( which means the sum of the terms divided by the numbers of terms )

to find the mean :

(8+11+13+17+x)/5 =12

5*12=49+x

60-49=x

x=11

Using the distance formula, \(CB=\sqrt{(-2-1)^2 +(2-3)^2}=\boxed{\sqrt{10}}\).

Answer:

y = x + 60

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 )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

3. x=110  y=110  t=70

4. a=105  b=105  c=75  d=75  e=105  g=75  f=75

Step-by-step explanation:

A number less than 5

⇒ x < 5

When all the numbers in the spinner are substituted in the inequality, we can see that only three numbers are less than 5.

⇒ 2, 3, and 4

\(\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}\)

\(\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}\)

     \(\bullet \ \text{Total numbers less than five: 3}\)

     \(\bullet\ \text{Total numbers in the spinner} = 4\)

\(\implies \boxed{\dfrac{3}{\text{4}} = \text{Probabilty of getting less than 5}}\)

Option B is correct.

Answer:

14 students have to retake the test

Step-by-step explanation:

to calculate the mean mark as

sum of ( product of mark and frequency ) ÷ total

mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)

        = \(\frac{28+150+32+51+234}{30}\)

       = \(\frac{495}{30}\)

      = 16.5

students who score less than 16.5 will retake the test , that is

2 scored 16 , 10 scored 15 , 2 scored 14

number who have to retake test = 2 + 10 + 2 = 14

Answer:

C. 20 C

I used an online converter or it is possible to Substitute F for 68 and then solve the equation

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation:

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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