Pls Need Help! Thank you

Answer:

P. Sue uses 1/6 of the pitcher to fill 1 glass

Step-by-step explanation:

Answer:

8, 6, 24 because 8+6+24=38

Answer:

24+12+2=38

Step-by-step explanation:

Answer: \(45^{\circ}\)

Step-by-step explanation:

\(\angle ABC\) is formed by lines AB and BC.

This means

\(\tan (\angle ABC)=\left|\frac{-1}{1}} \right|\\\tan(\angle ABC)=1\)

From the diagram, we can tell that angle ABC is acute, so it measures \(\boxed{45^{\circ}}\)

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

To know more about Distance .

https://brainly.com/question/23848540

#SPJ11

Answer:

28.4707 is rounded up to 28.5

Explanation: you have to round up any number higher than 5 to the number on the left

Answer:

the answer is 4) 10π/9 inches

Step-by-step explanation:

all answers have π on the nominator but i could not insert it for some reason

\(Question 7 options:\\1) \frac{40}{3}inches \\2) \frac{5}{3} inches\\3) \frac{100}{3} inches \\4) \frac{10}{9} inches\)

A circle is a curve sketched out by a point moving in a plane. The length of the arc with a central angle of 100° and a radius of 2 inches is 3.49 inches.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given that the radius of the circle is 2 inches, while the angle made by the arc at the centre of the circle is 100°. Therefore, the length of the arc can be written as,

Length of the arc = 2 × π × R × (θ/360°)

                              = 2 × π × 2 inches × (100°/360°)

                              = 10π / 9  inches

                              = 3.49 inches

Hence, the length of the arc with a central angle of 100° and a radius of 2 inches is 3.49 inches.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ2

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

1)increase

2)50%

Explanation:

Use the formula↓

(y2 - y1) / y1)*100

(150 - 100) / 100) * 100 = 50 %

y1= first value

y2= second value

Let's begin by identifying key information given to us:

Amount = $300

Amount (after changing) = ?

Exchange rate: €1 = $1.25

We will calculate how much Euros Traci gets for her dollar using simple proportion:

Therefore, Traci gets €240 for her dollars

The correct representation is y ⇒∞, f(x)2, and g(x)⇒0. Then the correct option is B.

In mathematics, the logarithm is the inverse function of exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

The mathematical expression f(x)=exp or ex denotes the exponential function. The phrase typically refers to the positive-valued function of a real variable, unless otherwise specified.

From the definition, it is clear that the logarithmic function and the exponential functions are inverses of each other.

Therefore, the correct representation is y ⇒∞, f(x)2, and g(x)⇒0. Then the correct option is B.

To know more about logarithmic functions follow

https://brainly.com/question/4458071

#SPJ1

Answer:

11π/4 (radians) or 495° (degrees)

Step-by-step explanation:

Convert 165° to radians:

165 * π/180 = 165π/180 = 11π/12

s = r/Ф

arc length = 3(11π/12) = 33π/12 = 11π/4

Convert back to degrees if asked to:

11π/4 * 180/π = 495° (Note that this is 165° * 3, see the pattern?)

Answer:

530 in ^2

Step-by-step explanation:

The figure given is a triangle

We use the formula for the area of a triangle

A = 1/2 bh where b is the length of the base and h is the height

      The height is perpendicular to the base( at 90 degrees)

A = 1/2 ( 26.5) * ( 40)

    = 530 in ^2

Answer:

\( \red{530 \: {in}^{2} }\)

Step-by-step explanation:

The formula to find the area of a triangle is:

\(Area = base \times height\)

Let us find it now.

Area = 1/2 × base × height

Area = 1/2 × 26.5 in × 40 in

Area = 530 in^2

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

Read more on a graph here: brainly.com/question/4546414

#SPJ1

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

Read more on exponential equation here: brainly.com/question/28939171

#SPJ1

9514 1404 393

Answer:

  16

Step-by-step explanation:

The altitude of the triangle is 12/21 = 4/7 of the marked side. If we assume that the marked sides are the ones that are corresponding, then ...

  x = (4/7)(28)

  x = 16

Answer:

a

Step-by-step explanation:

The population increased by 18 million at the end of one year at the rate of 1.8%.

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. Alternatively put, it is the relationship between a component and a whole in which the value of "whole" is always assumed to be 100.

For instance, if a student receives 15 out of 50 in math, one can determine the relevant percentage by expressing "marks earned" as a fraction of "total marks" and multiplying the result by 100. i.e., the percentage of marks is equal to 15 / 50 100, or 30%.

Given that, population of India is one billion.

The rate of increase is 1.8%.

After one year the population will be:

P = (1000000000)(1.8/100)

P = 18000000

Hence, the population increased by 18 million at the end of one year at the rate of 1.8%.

Learn more about percentage here:

https://brainly.com/question/14695543

#SPJ1

The range of whole numbers between which the decimal falls is 0 yards to 1 yard.

The whole number is set to positive integers including 0. i.e 0, 1, 2, 3, and so on.

To find the total amount of fabric Mary Beth needs to make a pillow, we first need to convert 7/12 yards into a decimal. To do this, we can divide the numerator by the denominator:

7/12 = 7 / 12 = 0.5833...

So, Mary Beth needs approximately 0.5833 yards of fabric to make a pillow.

To determine the range of whole numbers between which the decimal falls, we can round up to the next whole number (1 yard) and round down to the previous whole number (0 yards). Therefore, the range of whole numbers between which the decimal falls is 0 yards to 1 yard.

Learn more about whole numbers here:
https://brainly.com/question/925322
#SPJ9

The sample from the human remains is approximately

12,820 years old

Given the model used for radiocarbon dating after a particular period of time "t" expressed according to the formula;

\(Q(t)=b_0e^{-0.0001211t}\)

If a sample from a human bone taken from the site showed that 21.2

% of the carbon-14 still remained, then Q(t) = 21.2

Substitute the given parameters into the formula:

\(Q(t)=b_0e^{-0.0001211t}\\0.212b_0=b_0e^{-0.0001211t}\\0.212 = e^{-0.0001211t}\\ln0.212=lne^{-0.0001211t}\\-1.55117=-0.0001211t\\t=\frac{1.55117}{0.000121}\\t= 12,819.56 years\)

Hence the sample from the human remains is approximately

12,820 years old

Learn more here: https://brainly.com/question/25013071

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

Learn more about Volume here:

https://brainly.com/question/13338592

#SPJ1

Answer: C

Step-by-step explanation:

Answer:

All the adults

Step-by-step explanation:

The question says that the researcher wants to estimate all adults that own a cell phone.

So the population of interest is all the adults.

The statistic is the proportion p^ of the random sample of 2000 adults;

P^ = 1650/2000

= 0.825

The parameter of interest in the question is p, which is the proportion of those adults that own a cell phone.

Answer:

Step-by-step explanation:

Base perimeter: 4 x 2 x π = 8π

LA = 8π x 6 = 48π

Base area = 4^2π = 16π

SA = 16π x 2 + 48π = 80π

V= 16π x 6 = 96π

By simplifying the inequality -16t² + 96t - 84 < 0. We can conclude that    the pumpkin is below 100 feet at 1 second. (Option A)

To determine the time at which the pumpkin is below 100 feet, we need to find the values of t for which h(t) is less than 100. The given function is h(t) = -16t² + 96t + 16.

Setting h(t) < 100, we have:

-16t² + 96t + 16 < 100

Simplifying the inequality:

-16t² + 96t - 84 < 0

Dividing the inequality by -4 to simplify:

4t² - 24t + 21 > 0

To solve this quadratic inequality, we can factor it or use the quadratic formula. However, we need to find when the pumpkin is below 100 feet, so we need the values of t that make the inequality less than zero.

Factoring the quadratic:

(2t - 3)(2t - 7) < 0

From the factored form, we can see that the inequality is satisfied when:

2t - 3 > 0 and 2t - 7 < 0

Solving these two inequalities:

2t > 3 => t > 3/2 (which is approximately 1.5)

2t < 7 => t < 7/2 (which is approximately 3.5)

Therefore, the pumpkin is below 100 feet between 1.5 seconds and 3.5 seconds.

Out of the given options, only option A (1) satisfies this condition.

For more such question on inequality

https://brainly.com/question/25275758

#SPJ8

A. The cost of a 4-credit-hour math class can be calculated by multiplying the cost per credit by the number of credits, as follows:

Cost of 4-credit math class = 4 x $138.50 = $554

Therefore, a 4-credit-hour math class would cost $554.

B. The equation to determine the total tuition (y) for a given number of credit hours (x) is:

y = x * $138.50

Where x is the number of credit hours and $138.50 is the cost per credit. This equation states that the total tuition cost (y) is equal to the number of credit hours (x) multiplied by the cost per credit ($138.50). This equation can be used to calculate the total tuition cost for any number of credit hours.

A 90% confidence interval for proportion p ( for registered voters that would vote to raise taxes) = 0.483 is 0.483 +/- 0.024... So, the correct answer is option (b).

We have provide a random sample of 1200 registered voters and found that 580 would vote to raise taxes.

Sample size , n = 1200

The number of voters rise the tax = 580

Let p represent the proportion of registered voters in the state that would vote to raise taxes. From reading the provide data we get ,

sample proportion p = 580/1200 = 29/60 = 0.483

To use the standard error, we replace the unknown parameter p with the p-cap statistic , so p-cap = 0.483

Standard error = √p-cap (1 - p-cap )/n

= √0.483(1- 0.483)/1200 =√0.483(0.517)/1200

=√0.0002080925

= 0.0144254116

Now, the 90% confidence interval for p is

p-cap +/- z√(p-cap(1 - p-cap)/n)

Using the Z-table, z-value for 90% confidence interval is 1.645...

So, p-cap +/- z√((1 - p-cap )/n) = 0.483 +/- (1.645)0.014425

= 0.483 +/- 0.023729125 ~ 0.483 +/- 0.024

Hence, the required interval is 0.483 +/- 0.024.

To learn more about Confidence interval for p, refer:

https://brainly.com/question/15015383

#SPJ4

2)

1,700 gallons for 3 pumps

Divide 1,700 by 3 and we get what one pump does; 566 \(\frac{2}{3}\)

We need 5,500 gallons, so we can divide by 566 \(\frac{2}{3}\) for an answer of about 6.4782. You cannot have half of a pump, so our answer is 7 pumps.

3)

\(\frac{7fragments}{500tons} = \frac{100}{x}\)

Cross multiply:

7 times x = 7x

500 times 100 = 50,000

50,000 = 7x

Divide both sides by 7:

7,142 tons of gravel = x

4)

Dozen = 12

12 divided by 3 (number of eggs) = 4

4 (batches you could make) times 4 (cookies made) = 16

So you could make 16 dozen cookies with a dozen eggs

I hope this helps, have a nice day :D

Hopefully you can read what the fractions say, they are formatted weird xD

Answer:

50.6

Step-by-step explanation: