Divide quotient and remainder (image)

Answer:

C. 7

Step-by-step explanation:

The answer is 7. Use the power of a power property. To use it you have to multiply the power inside the parenthesis to the one outside of the parenthesis. 1/5 * 5 = 1. Since the power is 1, you do not need to write the power.

Hope this helps!

The given center and point on the circle of (0,0) and (-5, 3), respectively

gives the equation of the circle as [tex]x^{2} +y^{2} =\sqrt{34}[/tex].

The general form of the equation of the circle is presented as follows

(x - h)² + (y - k)² = r²

Where,(h, k) is the center of the circle and r is the radius of the circle

Here (h, k) is centered about the origin and the radius of the circle

Radius of the circle = √[(-5-0)² + (3-0)²]

= √(25+9)

=√34.

The equation of a circle centered on the origin going through the point (-5,3)

[tex]x^{2} +y^{2} =\sqrt{34}[/tex]

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Answer:

can you tell me please

Step-by-step explanation:

nicest

The maximum number of relative extrema of the given polynomial is; 3

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

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Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is

39.25 p + 11 ≤ 325

Solving:

39.25 p ≤ 325 -11

39.25 p ≤ 314

p ≤ 314÷ 39.25

p ≤ 8

Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

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The term for breaking a number into smaller sections and multiplying these numbers is factorization.

This is a common method used in math that implies breaking a big number into smaller ones and then multiplying the numbers. This multiplication should lead you to the original number.

120 can be broken as 12 and 10, then 12 × 10 = 120

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He need to charge 24$ per tree if he wants to make a profit of $600.

According to statement

Noah knows that his profit, P, in dollars, are P= −3x^2 + 150 − 1200.

Now, we find the value of x when the profit is $600

Where X represent the Amount he charges per tree.

The given equation is P= −3x^2 + 150 − 1200.

Substitute the value of p is $600 in the above written equation

Then

600 = −3x^2 + 150 − 1200.

After solving the equation by a substitution method the value of X becomes

600+1200-150 = -3(x)^2

x = (1650/3)^1/2

x= 24$

it means the charge per tree is 24$.

So, He need to charge 24$ per tree if he wants to make a profit of $600.

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Answer:

3x-5=1

3x=5+1

3x=6

x=6/3

x=2

At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.

Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.

First of all, we would determine the volume of this swimming pool as follows:

Volume = 1/2 × (1.2 + 2.2) × 10 × 25

Volume = 1/2 × (3.4) × 250

Volume = 1.7 × 250

Volume = 425 m³.

For the time, we have:

Time = volume/rate

Time = 425/2

Time = 212.5 minutes.

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Answer:

Cos² x

Step-by-step explanation:

    [tex]\sf Cos^2 \ x *Csc^2 \ x-Cos^2 \ x *Cot^2 \ x = Cos^2 \ x (Csc^2 \ x - Cot^2 \ x)[/tex]

                                                        [tex]\sf = Cos^2 \ x \left(\dfrac{1}{Sin^2 \ x} - \dfrac{Cos^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x \left(\dfrac{1-Cos^2 \ x}{Sin^2 \ x}\right)\\\\\boxed{\bf Indentity: \ 1 - Cos^2 \ x = Sin^2 \ x}\\\\\\= Cos^2 \ x \left(\dfrac{Sin^2 \ x}{Sin^2 \ x}\right)\\\\= Cos^2 \ x[/tex]

The volume of the composite figure is of 425 m³.

The volume of a prism is given by the base area multiplied by the height.

In this problem:

Hence the volume in m³ is:

V = 5² x 13 + 5² x 4 = 25 x 17 = 425 m³.

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Answer:

x = 10

y =10√2

Step-by-step explanation:

 The ratio of the sides of 45°- 45° - 90° triangle is a : a :  a√2

The side opposite to angle 45°  is a

a = 10

⇒ x =  a

  [tex]\sf \boxed{\bf x = 10}[/tex]

The side opposite to 90° is a√2

  y = a√2

    = 10√2

[tex]\sf \boxed{\bf y= 10\sqrt{2}}[/tex]

Answer:

Step-by-step explanation:

is an isosceles right triangle, so x = 10

to find y we use pythagoras

y = √(10²+10²)

y = √200

y = 14.1 or 10√2

Using division of fractions, the equivalent expression is:

B. [tex]\frac{4}{d - 6}[/tex].

To divide two fractions, we multiply the first by the inverse of the second.

In this problem, we have that:

Applying the multiplication, we have that:

[tex]\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}[/tex].

Hence option B is correct.

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The sequence for the cost of bracelet in dollars = $0, $3, $6, $9 and $12.

Also the sequence for the cost of necklace is = $0, $6, $12, $18, $24.

The column given concerning the products contains the following amounts of products such as 0, 1, 2, 3, and 4 pieces.

Therefore to calculate the amount to be used to buy each product of bracelet and necklace in each column multiplication is carried out.

That is, 0×3, 1 ×3, 2×3, 3×3, and 4×3

which is = $0, $3, $6, $9 and $12 respectively for the bracelet.

0×6, 1 ×6, 2×6, 3×6, and 4×6

Which is = $0, $6, $12, $18, $24. respectively for the necklace.

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Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

The probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

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The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

Answer: 6 bees

Step-by-step explanation:

The picture has 12 bees and 10 flowers. Thus, the ratio of flowers to bees is 10 to 12, which simplifies to 5 to 6.

Therefore, for every 5 flowers, there are 6 bees.

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

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Complete question:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.

Group of answer choices

(A) binomial probability distribution

(B) distribution of expected values

(C) random variable distribution

(D) mathematical expectation

Answer:

170.097 grams are in 6 ounces

Answer:

170.097 g to nearest thousandth

Step-by-step explanation:

1 ounce = 28.34952 g

6 = 170.09712 g

Answer:

555 meters

Step-by-step explanation:

toymaker = height/shadow

= 0.9/0.2

CN tower = height/shadow

= x/123.3

solve for x:

;[tex]\frac{0.9}{0.2} = \frac{x}{123.3} \\\\0.2(x) = (0.9)(123.3)\\0.2x = 110.97\\(\frac{10}{2} )\frac{2}{10}x = 110.97(\frac{10}{2})\\ x = 554.85[/tex]

They are all in meters, so we don't need to convert anything so rounded to the nearest meter, the answer is 555 meters

Answer: 555 m

Step-by-step explanation:

       We will set up a proportion to solve.

[tex]\displaystyle \frac{\text{vertical side}}{\text{horizontal side}} \;\;\;\;\;\;\;\frac{0.9\;m}{0.2\;m} =\frac{x\;m}{123.3 \;m}[/tex]

    Now we will cross multiply.

0.9 * 123.3 = 0.2 * x

110.97 = 0.2x

554.85 = x

x = 554.85

    Lastly, we will round the nearest m.

554.85 ➜ 555 m

The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.

Since the side of the small square is a, then the area of the tile is

given by:

Area of tiles = 9a²

Note: With an area of 9a², 4a² is covered by squares while 5a² by pentagons.

This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:

Percent = 5/9 × 100

Percent = 0.555 × 100

Percent = 55.5 ≈ 56%.

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Complete Question:

The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

Answer:

Step-by-step explanation:

For the frequency distribution, count the numbers that satisfy each category.

79 to 83: 4 (81, 82, 83, 81)

84 to 88: 3 (87, 88, 86)

89 to 93: 7 (92, 93, 93, 93, 90, 90, 91)

94 to 98: 1 (97)

For the historagram, raise the bars at the bottom of the histogram to the numbers above (4, 3, 7, 1; in this order)

The value of the angle will be C. 20°

From the information given, it was stated that the protractor showed an angle going through the tenth tick mark after ten degrees.

This means the value of the angle will be:

= 10° + 10°

= 20°

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Answer:

y = 2/5x -4

Step-by-step explanation:

Point-Slope Form formula

y - y1 = m (x - x1)

slope = m = 2/5

(-5, -6)

y - -6 = 2/5 (x - -5)

y + 6 = 2/5x + 2

y = 2/5x - 4

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Answer: 7:4

Step-by-step explanation:

40 boys and girls 3:2 = 24 boys + 16 girls

4 boys are added  28 boys + 16 girls /4  = 7:4

Answer:

7:11

Step-by-step explanation:

We know the total number of students and the ratio of boys to girls.  The total for the ratio of boys and girls would be 5 (3+2).  Now we can set up proportions knowing these numbers.

b = 3

g =2

t =5

Let's find out how many actual boys there are by setting up a proportion

3/5 = b/40  

I will look at the denominators to find x.  5 times what gives me 40? (8).  So, I will multiple the top number (numerators).  Since I need to multiple the bottom number by 8 to get the number 40, I will now multiple the top number by 8 and get 24.

Now, I know how many actual boys and girls were in the original class.  There were 24 boys, 16 girls (40 - 24) and 40 total students.  

Now I will take this new information and apply it to the new situation.  Now I have 28 boys (24 + 4) and a new total 44.

The ratio of boys to girls would not be 28: 16 or 7:4

Number of rooms left excluding a quarter of 140 is: 105 rooms.

A quarter is one-fourth. A quarter of a number is therefore, one-fourth of that number or 1/4 part of the number.

Therefore, number of rooms cleaned = 1/4(140) = 35.

A quarter of the 140 rooms is: 35.

Number of rooms left for cleaning in the afternoon = 140 - 35

Number of rooms left for cleaning in the afternoon = 105 rooms.

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Answer:

  f(2) = -13

Step-by-step explanation:

Evaluate the given formula with the given value of the variable.

  f(1) = -16 . . . . . . . . . . given

  f(n) = -29 -f(n-1) . . . . given

For n = 2, we have ...

  f(2) = -29 -f(2-1) = -29 -f(1) = -29 -(-16) . . . . put 2 in place of n and evaluate

  f(2) = -13