how do you factor 2y^2 +13 +21

The addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2 + a +6.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We have to find when 3a^2 + a^2 added to a + 6.

3a^2 + a^2 + a +6

This cannot be added further because they do not have any like terms.

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

Those terms which have same variables raised with same power are like terms.

For example, 5t^3 and 6t^3 are like terms since variable is same, and it is raised to same power 3.

Thus, the addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2+ a +6

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[tex]4a^2 + a + 6[/tex] is the final expression represents the sum of the given terms.

To add the expressions 3a2 + a2 to a + 6, follow these steps:

Thus, the result of adding the given expressions is[tex]4a^2 + a + 6.[/tex]

Answer:

i believe its 1.5

Step-by-step explanation:

its -4.5 crossing over the y-axis then 3 across divide that and get 1.5

Answer:

108 cubes

Step-by-step explanation:

Lengths of one of the cube s=[tex]\dfrac{1}{3}[/tex]

Volume of a Cube  [tex]=s^3[/tex]

Volume of one of the Cubes [tex]=(\dfrac{1}{3})^3=\dfrac{1}{27}[/tex]

The volume of the rectangular prism is 4 cubic units.

Therefore, to find the number of cubes it takes to fill the prism, we divide the volume of the prism by the volume of the cube.

[tex]\text{Volume of Prism/Volume of Cube}=4 \div \dfrac{1}{27}\\=4 X 27 \\=108[/tex]

It takes 108 cubes to fill the rectangular prism.

Answer:

108

Step-by-step explanation:

Answer:

Part 1= Lydia

Part 2= 392 ft or 4704 in

Step-by-step explanation:

let me know if you need any other help:)

Answer:

3, 6.2

Step-by-step explanation:

Just took the assignment.

The point that is farthest from the line of best fit is : ( 3, 6.2 )

X(values)       y(values)            residual

1                    3.3                       0.68

2                   5                          0.04

3                   6.2                       -1.1

4                   9                          -0.64

5                   13                        1.02

To determine the line is best fit we graph the  plot of x and y values  ( i.e. a plot of  the y values against the x values  )

attached below is the plot showing the line of best fit

Hence From the attached residual plot we can conclude that the point that is farthest from the line of best fit is : 3(x axis ) and 6.2 ( y - axis )

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Answer:

109, 54.4

Step-by-step explanation:

In the circle, the measure of minor arc EF is 109° and the measure of angle DAB is 54.5°.

From the complete information, the line segments EC and FC are radii, angle ECF is 109 degrees while the line segment AD is a chord.

In this case, the measure of minor arc EF will be the value of the angle given which is 109°. Also, the measure of angle DAB will be:

= 1/2 × 109°

= 54.5°

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Answer:

1- is 2.702

2- is 2.75

3- 8.235

4- 21.337

Step-by-step explanation:

The question involves comparing decimal numbers. The larger numbers for the pairs given are 2.702, 2.75, 8.235 and 21.337 respectively. The rule for comparing decimals is to start from the left and compare digits in the same position.

The question asks to identify which of the two numbers for each pair is larger. It's clear this involves a basic understanding of comparing decimals, which is a key skill in mathematics.

  Between 21.337 and 21.31, 21.337 is greater.  

The rule for comparing decimals is to start from the left and compare digits in the same position. This way, you can identify which number is larger or smaller.

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Answer:

credit because you can pay at the end of the month

i had this question before

if i can get brainliest that would be great

Answer:

C.

A.

E.

B.

Hope it will help :)

Answer:

both have a domain and range of all real numbers

Step-by-step explanation:

Answer: 14 cm

Step-by-step explanation:

Answer:

It was 36 cm3

Step-by-step explanation:

3cm x 3 cm x 4 cm

=36 cm3

Answer:

Step-by-step explanation:

The answer is d because 75 is the medain of the kiwi fruit

Answer:

B and C

Step-by-step explanation:

Hope this helps!

Doing this question now! :)

Applying the appropriate volume formula for the square pyramid and prism, the statements that are true are: B and E.

Volume = 1/3(a²)h

Volume = 1/2(a)(b)(h)

What is the Volume of a Rectangular Prism?

Volume = lbh

Space inside Greenhouse 1 = volume of rectangular prism + volume of square pyramid = lbh + 1/3(a²)h

= (12)(12)(10)  + 1/3(12)(12)8

= 1,824 m³

Space inside Greenhouse 2 = volume of rectangular prism + volume of triangular prism = lbh + 1/2(a)(b)(h)

= (12)(12)(10) + 1/2(12)(8)(12)

= 2,016 m³

Space inside Greenhouse 2 - Greenhouse 1 = 192 m³

The true statements are B and E.

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Answer:

544

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

We are being asked in how many ways an enumerated ball can be removed without any type of replacement, therefore it would be a combination without repetition:

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

n, total number of balls, 5

r, specific number of balls, 1

5C1 = 5! / (1! * 4!) = 5

Therefore there are 5 ways to do the above.

Answer:

A. Cait treated the discount as an increase

B.  (20) (1.06) (0.85)

Step-by-step explanation:

Hi, Cait treated the discount as an increase.

Cait multiplied the price (20) by the tax percentage (increase) 1.06  

Since the sale tax increase is 6% and it is added to the price we have to express it in decimal form (6/100=0.06) and add it to 1.

20 (1 +0.06) = 20 (1.06)

The coupon discount is subtracted to the price. So, the correct form is:

15/100= 0.15

20 (1-0.15) = 20 (0.85)  

Instead of this, Cait expressed the percent discount as a percent increase .

20 (1+0.15) = 20 (1.15)

The correct form is (20) (1.06) (0.85)

Answer:

Step-by-step explanation:

Confidence interval is constructed to provide an estimated for an unknown population parameter such as the mean and sometimes, the standard deviation. It is expressed as

Sample mean ± margin of error

From the confidence interval given, the lower boundary is 76.6 grams while the upper boundary is 90.1 grams. Therefore,

It means that we are 95% confident that the mean weight of all clementines at the store lies between 76.6 grams to 90.1 grams. Also, 95% of the confidence intervals constructed in this way would contain the true value for the population mean weight of all clementines at the store.

Final answer:

A 95% confidence interval for the mean weight of clementines at a local grocery store ranging from 76.6 to 90.1 grams means we are 95% confident the true average weight of all clementines falls within this range. This range is based on a random sample and provides an estimate of the population mean. The width of the interval reflects the estimate's precision.

Explanation:

A 95% confidence interval for the mean weight of clementines, which ranges from 76.6 grams to 90.1 grams, means that we are 95% confident that the average weight of all clementines available in the store falls within this range. This interval was determined based on a random sample of clementines purchased, which serves as a representative subset of the entire clementine population in the store.

The concept of a confidence interval allows researchers and statisticians to estimate the true mean of a population based on sample data. In this case, unless the true average weight of the clementines lies outside this range, which has only a 5% probability (100% - 95%), we can assume that our interval includes the true mean weight of all clementines in the store. This interpretation is common in statistics and is crucial for making informed decisions or predictions based on sample data.

The width of the confidence interval, from 76.6 to 90.1 grams, reflects the precision of our estimate. A narrower interval would indicate a more precise estimate of the true mean weight, but increasing precision usually requires a larger sample size or a more homogeneous population. The principles behind confidence intervals are fundamental in various fields, including scientific research, engineering, and business analytics, to make reliable inferences about population parameters based on sample statistics.

Answer:

Step-by-step explanation

61.7÷ 1778= 28.81

Choice C

Answer:

C

Step-by-step explanation:

Did the test on edge

Answer:

1st automobile

Step-by-step explanation:

Because it travel 271.8 miles on 10.1 gallobs of gasoline and the mile per gallon is 26.91 and the 2nd automobile travels 257.9 on 11.1 gallons of gasoline and the miles per gallon is 23.23 so the first auto mobile gets better gas mileage cuz it goes more miles and uses less gas

Answer:

I got 18 as my answer

Step-by-step explanation:

I made a triangle with the right side by dropping a vertical. Lets call the point straight down from C, E

Then I found the angle of D

sin θ = 5/13

θ = sin-¹(5/13)

θ≅22.619°

Then I found length of DE by

cosθ (remember we know what theta is) = X/13

12cosθ = X

X = 12

The length of DE is 12.

Since AD is 30, and the left side has two right angles we can do

AD - DE to find BC.

30-12 is 18

The length of BC is C. 18.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a trapezoid.

First draw a perpendicular line from C to the segment AD.

Mark the intersecting point of line and AD by P.

We know that,

CP = BA = 5

Using Pythagoras theorem,

PD = √(13² - 5²) = √(169 - 25) = √144 = 12

Now, AP + PD = AD

AP = AD - PD

     = 30 - 12

     = 18

Now, BC = AP = 18.

Hence the length of BC is 18.

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Answer:

No. The collar should not be worn by this dog.

Step-by-step explanation:

Please kindly go through the attached files for more explanation.

Final answer:

the collar is too small for the dog.

Explanation:

To answer whether the dog collar should be worn by a dog with a neck circumference of 12.5 inches, we must consider the information given: the dog's collar adjusts between a circumference of 10 and 14 inches and it should be at least 0.5 inch larger than the dog's neck circumference.

First, we calculate the radius of the dog's neck using the formula for circumference: C = 2πr. For a neck circumference of 12.5 inches, the radius (r) would be:

C = 2πr
12.5 = 2πr
r = 12.5 / (2π)
r ≈ 1.9875 inches

Now, to ensure comfort, the collar's radius should be at least 0.5 inch greater than the dog's neck radius. Adding 0.5 inch to the dog's neck radius gives us:

1.9875 inches + 0.5 inch = 2.4875 inches

Which means the collar's circumference should be at least:

C = 2πr
C ≈ 2π(2.4875)
C ≈ 15.63 inches

Given that the collar adjusts to a maximum of 14 inches, this would be too small for a dog with a neck radius as calculated. Therefore, the collar should not be worn by a dog with a neck circumference of 12.5 inches, as it would not accommodate the extra 0.5 inch needed for comfort.

Answer:

X equals 5

Step-by-step explanation:

Combine like terms

Answer:

26.39

Step-by-step explanation:

[tex] \sin(B) = \frac{AC}{AB} = \frac{4}{9} [/tex]

[tex]B = {sin}^{ - 1} = \frac{4}{9} [/tex]

[tex] = 26.387[/tex]

[tex] = 26.39[/tex]

Answer: 26.39 degrees

Step-by-step explanation: sin ^-1= 4/9

26.3877

Answer:

0.02 is equivalent to 2/100

therefore it is false

if i can have brainliest that would be great

Final answer:

The statement that 0.20 is equivalent to 2/100 is false. The correct equivalent fraction of 0.20 is 20/100, which simplifies to 1/5.

Explanation:

The question asks whether 0.20 is equivalent to 2/100. This is false. The decimal 0.20 is equivalent to 20/100, which simplifies to 1/5 when you divide the numerator and the denominator by the greatest common divisor, which is 20 in this case. To convert a decimal to a fraction, place the decimal number over its place value. Since there are two digits to the right of the decimal point in 0.20, you would put 20 over 100, which reduces to 1/5. On the other hand, 2/100 cannot be simplified further and remains as is. Thus, 0.20 is not equivalent to 2/100; it is actually ten times larger.

Answer:

x=12

Step-by-step explanation:

The shapes are similar, so their corresponding sides will be proportionate

Use the bases and the right most sides to create the proportion

14/56=3/x

Cross multiply

14*x=56*3

14x=168

Divide both sides by 14

x=12

Answer:

missing side is x =12

Step-by-step explanation:

[tex]given \: that \: two \: figures \: are \: similar \\ correspondung \: sides \: are \: proportional \\ let \: us \: take \: any \: two \: sides \: \\ including \: the \: value \: of \: x \\ \frac{10}{40} = \frac{3}{x} \\ \frac{1}{4} = \frac{3}{x} \\ x = 3 \times 4 \\ x = 12[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

(-3, 5)

Step-by-step explanation:

im assuming the orginal point q is (5, 3)

Based on the given scenario above, the coordinates of point Q  is known to be (-3, 5).

Note that if a point P(x, y) is rotated 90° counterclockwise around the origin, one has to flip x and y and reverse the sign of y.

So, The rule to rotate a point P(x, y)  after a rotation 90° counterclockwise around the origin is said to be:

P(x, y) = P'(-y, x)

In this question, rectangle PQRS is rotated 90° counterclockwise about the origin.

The rectangle is said to have the coordinates:

P(2, 3)

Q(5, 3)

R(5, 1)

S(2, 1)

Therefore we look for the coordinates of the point Q’.

By using the rule to rotate a point P(x, y)  after a rotation 90° counterclockwise around the origin, then:

P(x, y) = P'(-y, x)

Therefore, coordinates of the point Q’ will be:

Q(5, 3)  = Q'(-3, 5)

Therefore, the coordinates of point Q' is:  Q'(-3, 5)

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Answer:

6.8

Step-by-step explanation:

Answer:

Just by approximating without a calculator, you would know it under the sqrt of 49, so it should be less than 7 and greater than 6 (sqrt of 36)

With a calculator and rounding, you will find that the answer is 6.8.

Look at the attached picture⤴

Hope it will help u...:)

Answer:

Step-by-step explanation:

[tex]\frac{2}{7}*100=\frac{200}{7}\\\\=28.5714\\[/tex]

= 28.57% or

≈ 29%

Answer:

y=2(2x+3)

Step-by-step explanation:

y=2*2^2+4x-2

y=8+4x-2

y=4x+6

y=2(2x+3)

Answer:

The sample should represent all the toys produced throughout the day, not just the first and The sample should represent an entire week or month, not just a single day

Step-by-step explanation:

Answer:

B&D

Step-by-step explanation:

Trust me plssss