3). What is the area of a square with 16cm sides? *
Helpppppppppppppppppp

Answer:

A number increased by one multiplied by two.

Two distributed into a number and one.

Step-by-step explanation:

First one is way more likely.

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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Answer:

\( {(x + 5)}^{2} + {(y - 5)}^{2} = 9 \)

Answer:

Explaination down below

Step-by-step explanation:

Before you start this question, make sure you know this rule. When multiplying fractions, Multiply the numerator by the other numerator and multiply the denominator by the other one.

\(\frac{1}{5}\) x \(\frac{1}{2}\). 1*1=1, so one is the numerator. 2*5= 10 so 10 is the denominator.

The final answer is \(\frac{1}{10}\).

You could also look at it another way. What is one half of one-fifth?

That is another way to look at it.

If this helped, please mark me as brainliest. Thank you! ;)

Answer: -1/3

Step-by-step explanation:

The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.

Answer:

45.9 yd^3

Step-by-step explanation:

Volume = ?

h = 6.5

d = 3

\(r = \frac{d}{2} \\\\r = \frac{3}{2}\)

\(V=\pi r^2h\)

Substitute values into the given equation

\(V = 3.14 \times (\frac{3}{2} )^2\:yd \times 6.5\:yd\\\\V =20.41\:yd\times 1.5\:yd\\\\V=45.9225\:yd^3\)

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

1) $2.45

2) $(0.25y + 0.1z)

Step-by-step explanation:

dimes are 0.10 in value, quarters are 0.25

1) How much money in dollars does she have if she has 12 dimes and 5 quarters? 12(0.1) + 5(0.25) = 1.2 + 1.25 = $2.45

2) How much money in dollars does she have if she has z dimes and y quarters?

z(0.10) + y(0.25)= 0.25y + 0.1z

I rearranged it because we put variables in alphabetical order.

LMK if you have questions.

a) The total value of 12 dimes and 5 quarters is  $ 2.45

b) The total value of x dimes and y quarters is  0.10x + 0.25y

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of 1 dime = 10 cents

                                      = $ 0.10

Let the value of 1 quarter = 25 cents

                                          = $ 0.25

Now the equation will be

a)

The value of 12 dimes = 12 x value of 1 dime

                                     = 12 x 0.1

                                     = $ 1.2

The value of 5 quarters = 5 x value of 1 quarter

                                       = 5 x 0.25

                                       = $ 1.25

So , the value of 12 dimes and 5 quarters is =
value of 12 dimes + value of 5 quarters

The value of 12 dimes and 5 quarters is = $ 1.2 + $ 1.25

                                                                   = $ 2.45

b)

The equation will be

The value of x dimes = 0.10x

The value of y quarters = 0.25y

So , the value of x dimes and y quarters is =
value of x dimes + value of y quarters

The value of x dimes and y quarters is = 0.10x + 0.25y

Hence , a) The total value of 12 dimes and 5 quarters is $ 2.45

b) The total value of x dimes and y quarters is 0.10x + 0.25y

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Answer:

Answer:

B and D

Step-by-step explanation: I got it right

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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Answer:

x=−x9+2x2+8

Step-by-step explanation:

Answer:24 mpg

Step-by-step explanation: I HAD THIS SAME QUESTION ON MY TEST I GOT YOU BOO

Answer:

27

Step-by-step explanation:

144/8 = 27

The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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Answer:

Step-by-step explanation:

Percentage of girls = 35%

Percentage of boys = 100 - 35 = 65%

There are 910 boys:

65% = 910

Find the number of students in the school:

1% = 910 ÷ 65 = 14

100% = 14 x 100 = 1400

Answer: There are 1400 students in the school

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

9514 1404 393

Answer:

  -2x +4

Step-by-step explanation:

We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...

  p(x) = (x+2)(x-3)q(x) +ax +b

Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...

  p(-2) = 8 = -2a +b

  p(3) = -2 = 3a +b

Subtracting the first equation from the second gives ...

  (3a +b) -(-2a +b) = (-2) -(8)

  5a = -10

  a = -2

Then the first equation tells us ...

  8 = -2(-2) +b

  4 = b

So, the remainder from division by (x^2 -x -6) is (-2x +4).

The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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32

Divide 192 by 6, to find the amount of baseball cards Nick has.

192 ÷ 6 = 32

32 · 6 = 192

192 ÷ 6 = 32

Nick has 32 baseball cards, which is 6 times less than Juan's amount.

The probability that the proportion of a sample is higher than 0.30 can be estimated using the Central Limit Theorem (CLT) which states that the distribution of the sample means approaches a normal distribution as the sample size increases. With a large sample size (n >= 30), we can use the normal distribution to approximate the distribution of the sample means.

Assuming the sample size is large, the standard error (SE) of the sample mean is given by

SE = sqrt(p * (1 - p) / n), where p is the population proportion (0.27) and n is the sample size.

With this information, we can find the Z-score corresponding to 0.30 using the formula: Z = (0.30 - 0.27) / SE

Since we don't know the sample size, we'll assume a conservative sample size of 30.

With a sample size of 30, the SE is approximately 0.039, and the Z-score is approximately 0.77.

Using a standard normal table, we can find the probability of a Z-score being greater than 0.77 is approximately 0.22.

Therefore, the approximate probability that the proportion who exercise at least five days per week is higher than 0.30 is 0.22.

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Answer:

---------------------------

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

Answer:

D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)

Step-by-step explanation:

5log₁₀x+log₁₀20-log₁₀10

5log₁₀x+log₁₀20-1

log₁₀x⁵+log₁₀20-1

log₁₀20x⁵-1 (Option D)

5log₁₀x+log₁₀20-log₁₀10

log₁₀20x⁵-log₁₀10

log₁₀(20x⁵/10)

log₁₀(2x⁵) (Option E)

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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9514 1404 393

Answer:

  6

Step-by-step explanation:

6 triangles are formed by the three diagonals through the center.

Answer:

six im pretty sure

Step-by-step explanation:

Answer:

3200 gallons

Step-by-step explanation:

let x be the number of gallons it takes to fill the pool.

2400=3/4x

4/3(2400)=4/3(3/4)x

3200=x

or

3200/4g=1/4

800g=1/4

800g*4=3200g

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°