If we are asked to to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation, because:

The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0

The y-intercept will be 0

The x-intercept is the point where the graph intersects the y-axis and hence the y-coordinate of that point will be 0

The x-intercept is always at (0, 0)

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.

To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.

To find the sample variance, follow these steps.

1. Calculate the mean of the data set.

2. Subtract the mean from each value in the data set.

3. Take the summation of the squares of the result.

4. Divide the sample size minus 1.

Upon calculation, the sample variance is 0.1716.

Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.

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Step-by-step explanation:

See

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Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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In order to find the area of the dark triangle (let's call it 'x'), we need to calculate the area of the whole rectangle and the area of the three small triangles.

The area of the rectangle is:

The area of each triangle is:

Now, using the additivity principle, we have that:

So the area of the dark triangle is equal 12 square units.

Step-by-step explanation:

..................see picture....

55÷11[120÷2{4+(10+5-7)}]

5[60{4+(8)}]

5[60{4+8}]

5[60{12}]

5[60+12]

5[72]

5+72

77

so answer is 77

Answer:

x = 9

Step-by-step explanation:

75 - 6x = 4x - 15

We want to arrive at an answer that looks like

x = a number,

so we want x on the left side and numbers on the right side.

Remember that whichever operation we do to one side of the equation, we must do to both sides.

Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.

75 - 75 - 6x = 4x - 15 - 75

Simplify both sides.

-6x = 4x - 90

Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.

-6x - 4x = 4x - 4x - 90

Simplify both sides.

-10x = -90

We want x, but x is being multiplied by -10, so we divide both sides by -10.

\( \dfrac{-10x}{-10} = \dfrac{-90}{-10} \)

Simplify both sides.

x = 9

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

A. enlargement.

Step-by-step explanation:

when you multiply a number by anything greater than one the number will go up. and if it is 1 or less than one the number will go down

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

Given:

Measure of each interior angle = 120 degrees

Length of each side = 4.6 cm

Let's find the perimeter of the polygon.

Since the measure of each interior angle is 120 degrees, let's find the number of sides of the polygon using the formula below:

Let's solve for n.

We have:

Divide both sides by 60:

Therefore, the polygon has 6 sides.

To find the perimeter, apply the formula:

Perimeter = number of sides x length of each side

Perimeter = 6 x 4.6

Perimeter = 27.6 cm

Therefore, the perimeter of the polygon is 27.6 cm

ANSWER:

27.6 cm

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

\(\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet\)

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

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Answer: 211 in²

Step-by-step explanation:

To find the area of the shaded region, you want to find the area of the rectangle, then subtract the area of the circle and the triangle. First, we need to find the area of the triangle. We know that there is a circle because 2 halves make a full circle.

Area of Circle

A=πr²

A=π(6)²                 [exponent]

A=36π                   [multiply]

A=113

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

Area of Triangle

A=bh/2

A=(18)(12)/2         [multiply]

A=216/2               [divide]

A=108

Now that we have the area of the shapes, let's find the area of the entire rectangle.

A=lw              

A=(36)(12)            [multiply]

A=432

With the area of the rectangle, we can subtract the areas.

432-108-113=211

The area of the shaded region is 211 in².

Answer:

good morning!

Step-by-step explanation:

the answer to your question is 4(7x^2+5)

hope you have a great day!

Hence, the required inequality is x+y≤4, 7x+4y≤1150

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Let x be the number of adults and y be the number of campers.

There are rooms for 450 people, so

x+y≤450.

Each adult costs $7, then x adults cost $7x.

Each camper costs $4, then y campers cost $4y.

There is a maximum budget of $1,150, so

7x+4y≤1,150

Hence, you get the system of two inequalities:

         x+y≤4

         7x+4y≤1150

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Answer:

x + y \(\leq\) 450

7x + 4y \(\leq\) 1,150

Step-by-step explanation:

X and Y is the amount of people it can fit.

7 and 4 is the amount of money for each person.

7x is the amount per adult, 4y is the amount per camper.

Hope this helps.

Answer:

It should be 105°

Step-by-step explanation:

I hope this helps you!!!

The ways to solve for the solution using the calculator are the use of

On most calculators, there is an exponent key represented by the symbol "^" or "x^y". Using this key, we can directly calculate 6^2 and 6^3 separately, and then multiply the results together. Here are the steps:

Enter 6 and press the exponent key (^ or x^y).

Enter 2 and press the equals key (=). The calculator should display 36.

Enter 6 and press the exponent key again.

Enter 3 and press the equals key (=). The calculator should display 216.

Multiply the two results together: 36 x 216 = 7,776.

Therefore, 6^2•6^3 = 7,776.

6² . 6³

= 6 ²⁺³

= 6⁵

= 7776

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The number of the hamburgers and sodas sold are respectively; 69 and 9

We are given;

Cost of Hamburgers = $1.50

Cost of Sodas = $0.50

Total amount made from the sales = $108.50

Total number of hamburgers and sodas sold = 78

Now,

Let x represent the number of hamburgers sold

Let y represent the number of sodas sold

Thus, the simultaneous equation to represent cost and numbers sold are;

1.50x + 0.50y = 108.50   -----(eq 1)

x + y = 78    -----(eq 2)

Making x the subject in eq 2 gives;

x = 78 - y    ----(eq 3)

Plug in 178 - y for x in eq 1 to get;

1.50(78 - y) + 0.50y = 108.50

117 - 1.5y + 0.5y = 108.5

y = 8.5 ≈ 9

Thus;

x = 78 - 9

x = 69

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Answer:

\( - \frac{2}{9} \)

Step-by-step explanation:

when multiplying fractions, you can multiply the numerators and denominators across.

\( \frac{ - 1 \times 2}{3 \times 3} \)

simplify

\( \frac{ - 2}{9} \)

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

Answer:

Step-by-step explanation:

Ar of circle

A= 49π

B=100π

C=169π

D=121π

Ar of circle A is less than Ar of circle D

Their point of intersection is (2,2)

The equation of f(x) is a line that passes through the points (0,6) and (3,0)

Find the slope. The slope is;

m = (0 - 6)/(3 - 0)

m = -2

The function f(x) in slope intercept form is equal to;

f(x) = -2x + 6

Find the inverse;

Let y = f(x)

y = -2x + 6

Exchange the variables x for y and y for x and then Isolate the variable y

2y = -x + 6

y = -0.5x + 3

Let f⁻¹(x) = y

Thus;

f⁻¹(x) = -0.5x + 3

Solve the system of equations;

-0.5x + 3  = -2x + 6

Solving for x gives x = 2

Thus;

y = -0.5(2) + 3

y = 2

The solution is the point (2,2)

Thus, their point of intersection is (2,2)

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Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

Step-by-step explanation:

Melonie,  k = 2*10,  is another way to look at this

I think you can get the answer now

k = 20 , if you're not sure

Answer:

-34/45

Step-by-step explanation:

first step you wanna do is Multiply the numbers -1/5- 1 (-2/3)- (5/6)= -1/5 and -5/9 then subtract those two fractions and you get -34/45 since both of the fractions were negative the answer results as a negative aswell

Answer:

-10=-63

Step-by-step explanation:

Answer:

-10 = -63

Step-by-step explanation:

Subtract.

20 - 30 = -10

Equation:

-10 = 9 - 72

Subtract.

9 - 72 = -63

Equation:

-10 = -63

No solution since -10 does not equal -63

Hope I helped :)

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Answer

CE = 108 ft.

Explanation

The concept of similar triangles will be used to solve this.

The ratio of two corresponding sides for similar triangles is always constant.

AD is corresponding to AE

BD is corresponding to CE

(AD/AE) = (BD/CE)

AD = 14 ft

AE = 126 ft

BD = 12ft

CE = The width of the bog at the widest point = ?

(AD/AE) = (BD/CE)

(14/126) = (12/CE)

CE = (12)(126)/14

CE = 108 ft

Hope this Helps!!!