Jacob ate 21 chips ahoy cookies in 1 hour and Bryant ate 25 chips ahoy cookies in the same time, at this rate, how mant whole cookies could Bryant eat in 80 minutes

Answer:

6 hours

Step-by-step explanation:

If it took Sara's mother six hours to do that, it took six hours.

The sigma notation of the sum for this problem has the parameters given as follows:

To write the sigma notation for the sum in this problem, we must identify the pattern in the sum.

We have that in each term, a numerator of 1 is divided by the index n multiplied by one plus the index, hence the parameter B is given as follows:

B = 1/[n(n + 1)]

The last terms are 117 and 118, meaning that n = 117, hence the parameter A, representing the upper end of the sum, is given as follows:

A = 117.

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The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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By answering the presented question, we may conclude that As a result, equation the real circumference of the triangle space is around 30 metres.

A math equation is a technique that links two assertions and denotes equivalence using the equals sign (=). In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, in the equation 3x + 5 = 14, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on either side of a letter. The logo and the programme are usually interchangeable. As an example, 2x - 4 equals 2.

Because the blueprint is designed on a scale of 12 centimetres Equals 1 metre, each 1 centimetre on the blueprint represents 0.0833 metres (1/12 of a metre).

Assume the triangle chamber on the blueprint has a perimeter of 30 cm. We may apply the following calculation to determine the real perimeter in metres:

Blueprint perimeter x Scale factor x 0.0833 = Real perimeter

Real circumference = 30 x 12 x 0.0833

Actual circumference = 29.988 metres

As a result, the real circumference of the triangle space is around 30 metres.

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Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Answer:

woman =39years

twins 0year each since 12 years ago they were not yet born

Answer:

S = 9.9

Step-by-step explanation:

First, multiply by -3 to remove fractions:

so:

S - 38.4 = -28.5

Take all values to one side by adding 38.4 to both sides

S = 9.9

Answer:

False

Step-by-step explanation:

PEMDAS is your order of operations, so you would do the multiplication in the parenthesis first.

\((16-4*2) = (16-8) = 8\)

16 isn't equal to 8 so the answer would be false.

Answer:8

Step-by-step explanation:4 times 2=8 so 16-8=8

Answer:

\(a = 40600(1 + \frac{0.009}{1} ) {}^{10} = 40600 \times 1.0937 = 44405.6\)

Correction:

Because F is not present in the statement, instead of working on​P(E)P(F) = P(E∩F), I worked on

P(E∩E') = P(E)P(E').

Answer:

The case is not always true.

Step-by-step explanation:

Given that the odds for E equals the odds against E', then it is correct to say that the E and E' do not intersect.

And for any two mutually exclusive events, E and E',

P(E∩E') = 0

Suppose P(E) is not equal to zero, and P(E') is not equal to zero, then

P(E)P(E') cannot be equal to zero.

So

P(E)P(E') ≠ 0

This makes P(E∩E') different from P(E)P(E')

Therefore,

P(E∩E') ≠ P(E)P(E') in this case.

The equation of line is y = -11x/3 - 7/6

Define Equation of line.

        y - y₁ = m (x - x₁)  

Given, PQ parallel to PR.

Therefore, the line will have slope is PR

Let,

P(3, 4) = (x1, y1)

R(6, -7) = (x2, y2)

Slope of the line is

m = (y2 - y1) / (x2 - x1)

Plug in the values and find slope

m = (-7 - 4) / (6 - 3)

m = -11 / 3

Therefore slope PR is -11/3

The line is passing through midpoint of PQ

Where the points are P(3, 4) and Q(-5, 1)

We know, Midpoint of PQ

= ( (x1 + x2) / 2 , (y1 + y2) / 2)

= ( (3 - 5 ) / 2, (4 + 1) / 2)

= ( -1, 5/2) = (x1, y1)

Equation of line is

y - y1 = m (x - x1)

Now, put the values of slope and midpoint (x1, y1)

y - 5/2 = -11/3(x - (-1) )

y - 5/ 2 = -11/3(x + 1)

y - 5/ 2 = -11/3x - 11/3

y = -11/3 x - 7/6

Therefore, the equation of line is y = -11/3 x - 7/6

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Answer:

D. y = 3x + 9

Step-by-step explanation:

Use the point-slope formula to find the equation in slope-intercept form.

\(y-y_1=m(x-x_1)\\\\y-33=3(x-8)\\\\y-33=3x-24\\\\y=3x+9\)

Answer:

5/7 is a fraction, not a whole number.

The proportionality is a relation between two quantities. The equation for the given cases can be written as 3g = 5m,  5m = 3g, 5g = 3m and g = 8 m.

When two quantities have some dependence in their values they can be said to be proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies that the value of one quantity is increasing while the other is decreasing.

Given that,

The number of gallons of water = g,

The number of minutes = m,

And, the equation for the given condition as,

g = 3 / 5 m

The equation for each minute the washing machine runs, it uses five thirds gallons of water is given as,

g = 5 / 3 m

=> 3g = 5m

The equation for each minute the washing machine runs, it uses three fifths of a gallon of water is given as,

m = 3 / 5 g

=> 5m = 3g

The equation for each gallon of water the washing machine uses, it runs for three fifths of a minute is given as,

g = 3 / 5 m

=> 5g = 3m

The equation for each gallon of water the washing machine uses, it runs for 8 minutes is given as,

g = 8 m

Hence, the equation for the given conditions can be written as,

3g = 5m,  5m = 3g, 5g = 3m and g = 8 m.

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Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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The sum of 3 consecutive odd natural nos. can be represented by                      n +  ( n+2 ) + (n + 4 ).

Consecutive nos. are every no. after each other.

According to the given question we have to represent the sum of 3 consecutive odd natural nos.

We know that consecutive odd natural nos. come after every two digits.

∴ Assuming the first odd natural no. to be n.

So, Next odd natural no. will be (n + 2) and the third consecutive odd natural no. will be (n + 2) + 2 which is = (n + 4).

∴ The sum of 3 consecutive natural numbers can be represented by

n + (n + 2) + (n+4).

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

none

Step-by-step explanation:

because the zeros usually intercept with the x-axis and the parabola is nowhere near that! hope it helps!

The sides of the dilated triangle are parallel to the sides of the original triangle, but their lengths are multiplied by the scale factor k.

A triangle is a closed two-dimensional figure with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many different areas of mathematics, science, and everyday life. A triangle is defined by its three vertices (or corners), which are the points where the sides of the triangle intersect. The three sides of the triangle are the line segments connecting the vertices. The three angles of the triangle are the angles formed by the intersection of two sides.

Here,

To dilate a triangle with a center at the origin, we need to multiply the coordinates of each vertex by the scale factor k. However, in this case, the center of dilation is not at the origin, but at the point Irgun. To perform the dilation, we can follow these steps:

Plot the original triangle with vertices (2,0), (4,-4), and (6,2).

Draw a line segment from the center of dilation Irgun to each vertex of the triangle.

Measure the distance from Irgun to each vertex, and multiply it by the scale factor k = 1.5 to find the new distance.

Use the new distances to construct the dilated triangle by drawing line segments from Irgun to points that are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.

The resulting dilation of the triangle with center at Irgun and scale factor k = 1.5 is shown below:

In this image, the original triangle is shown in black, and the dilated triangle is shown in blue. The center of dilation Irgun is marked with a red dot. Note that the new vertices of the dilated triangle are (0.5,0), (3,-6), and (7.5,3), which are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.

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Answer:

0

Step-by-step explanation:

(y-y)/(x-x) -2-18=-20/(-5-(-5)=20/0 which means the slope goes straight up.

(1) p value is 0.234. So the 4th option is correct.

(2) p value grater that any alpha values so we fail to reject the null. So the 4th option is correct.

(3) The outcome is significant if the null hypothesis is rejected. So the third option is the correct choice.

4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

We consider the following hypothesis-

H0: µ1 = µ2 vs H1: µ1 ≠ µ2

Where µ1 is the population mean of the non FL res

µ2 is the population mean of the FL res

1) p value = 0.234

(Obtained by p value calculator corresponding to the test statistic at 0.05 significance level with degrees of freedom 232+1224-2 = 1454)

Hence the 4th option is correct.

2) We know if p value ≤ α we reject the null.

Here since p value grater that any alpha values so we fail to reject the null.

Hence the 4th option is correct i.e, t none of the usual α.

(3) The outcome is significant if the null hypothesis is rejected. This conclusion is neither statistically nor practically significant because we are unable to reject the null hypothesis. The third option is the correct choice.

(4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

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The right question is given below:

Answer:

B

Step-by-step explanation:

edg 2021

Answer: b

Step-by-step explanation:

Answer: point b

Step-by-step explanation: took the quiz

Option (b) is the correct option i.e. The height is 5 units.

The height of an object is determined by measuring the distance between its base and its top.

As opposed to length, width, and height for a rectangular shape's area, the basic formula for volume is length, breadth, and height. The calculation is unaffected by how the different dimensions are referred to; for example, "depth" can be used in place of "height."

Given, V = πr².H

          V/πr² = H

So, It can be written in terms of height, H as V/πr².

Now, If r = 3 units and V= 45π then,

H =   V/πr² = 45π / π(3)²

                = 45π/9π

                = 5 units.

Hence, height is 5 units.

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Answer:

Step-by-step explanation:

x = speed of the boat

y = speed of the current

x + y = 162/3 = 54 mph

x - y = 132/3 = 44 mph

Add the two equations to get

2x = 98

x = 49 mph

y = 54 - x = 54 - 49 = 5 mph or something

The probability of the area hit by the dart between the bigger square and the smaller square is equal to 0.7656.

As given in the question,

Total number of squares present = 2

Side length of the bigger square = 16 units

Side length of the smaller square = 14 units

Area of the bigger square = ( side length )²

                                           = ( 16 )²

                                           = 256 square units

Area of the smaller square = ( side length )²

                                           = ( 14 )²

                                           = 196 square units

Here favorable outcome is represented by small square and total outcome is represented by bigger square

Probability that the given dart hit the area between the square is

= 196 / 256

= 49/64

= 0.765625

≈ 0.7656

Therefore, the probability of the dart hitting the area formed by bigger square and smaller square is equal to 0.7656.

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1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Answer

The absolute value function, f(x) = |x + 2|, is shown.

If the graph is reflected over the x-axis, what is the domain of the function?

all real numbers

all real numbers greater than or equal to 0

all real numbers greater than or equal to –2

all real numbers less than or equal to –2

Your answer is ALL REAL NUMBERS

Step-by-step explanation:

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Martina watched 18 movies that she thought were very good

Number of movies that are good = 18

She watched 45 movies over the whole year

Number of movies she watched over a year = 45

Percentage did she think were very good = Number of movies that are good/ Total number of movies x 100

So, Percentage did she think were very good is 40%

Answer : percentage did she think were very good is 40%