A filing cabinet has a height of 6 feet and a length of 2 feet. The volume of the filing cabinet is 36 cubic feet. What is the width of the filing cabinet?

Answer:

1)

90g strawberry jelly

6 sponge fingers

315ml custard

135g tinned fruit

2) 260 cm²

Step-by-step explanation:

1) 120/4 × 3

90g strawberry jelly

8/4 × 3

6 sponge fingers

420/4 × 3

315ml custard

180/4 × 3

135g tinned fruit

2) area = base × height

= 20 × 13

= 260 cm²

Answers and Step-by-step explanations:

1. Let's find the amount of each ingredient we need for 1 person, and then multiply that by 3 later.

strawberry jelly: we have 120 grams for 4 people, so for 1 person, we need 120/4 = 30 grams

sponge fingers: we have 8 of these for 4 people, so for 1 person, we need 8/4 = 2 sponge fingers

custard: we have 420 mL for 4 people, so for 1 person, we need 420/4 = 105 mL

tinned fruit: we have 180 grams for 4 people, so for 1 person, we need 180/4 = 45 grams

Now, multiply each of these by 3 to find the amount needed for 3 people:

strawberry jelly: 30 grams * 3 = 90 grams

sponge fingers: 2 sponge fingers * 3 = 6 sponge fingers

custard: 105 mL * 3 = 315 mL

tinned fruit: 45 grams * 3 = 135 grams

2. The area of a parallelogram is calculated by the formula: A = Bh, where B is the base length (usually a side length) and h is the height perpendicular to the base. Here, we see that have two potential base lengths: 20 and 15. However, looking at the height, it's only perpendicular to the base with length 20, so we know that B = 20 and h = 13.

Plugging these into the formula, we get: A = 20 * 13 = 260 cm squared.

Hope this helps!

Answer:

0 < p < 0.075

Step-by-step explanation:

Solution:-

According to the rule of three, when we have a sample size = n.

and x = 0 successes ( The lowest possible value of true population proportion ). Then we are 95% confident that the upper bound of the true population proportion is given by:

                                      3 / n

If n = 40 couples use a method of gender selection and each couple has a baby​ girl, the the possibility of successes is zero. This calls on for the use of Rule of three to determine the upper bound for the true population of couple having a baby girl.

- The 95 % upper bound for true population proportion of all the babies born are girl is determined by:

                                   p = 3 / n = 3 / 40

                                   p ≈ 0.075

- The number of successes were = 0, hence the lower bound for the population proportion is 0 and the upper bound was calculated above. Hence,

                                  0 < p < 0.075

- The range of true population proportion.

the proportion of all babies who are​ boys is 0 < p < 0.075

Here we know that the 95% confident that the upper bound of the true population proportion is provided by 3 by n

Since n be 40 couples

So, here the proportion should be

[tex]p = 3 \div n = 3 \div 40[/tex]

p ≈ 0.075

And, The number of successes were = 0

So, the proportion should be 0 < p < 0.075

Learn more about proportion here: https://brainly.com/question/20819568

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

[tex]r=\frac{I}{Pt}[/tex]

I = interest amount

P = principal amount

t = time (years)

The first step is to find the interest gained from the investment.

[tex]3,123.75-2,450=673.75[/tex]

Next, plug in the values into the equation:

[tex]r=\frac{673.75}{(2,450)(5)}[/tex]     Multiply the bottom values

[tex]r=\frac{673.75}{12,550}[/tex]         Divide the values

[tex]r=.055[/tex]

The last step is to convert 0.055 into a percent:

[tex]0.055(100)=5.5[/tex]

The interest rate is 5.5%

Final answer:

The given statement exemplifies empirical probability because it is derived from the results of a survey, which is a real-life observation.

Explanation:

The statement 'According to a survey, the probability that an adult chosen at random is in favor of police body cameras is about 0.39' is an example of empirical probability.

Empirical probabilities are calculated from real-life observations or experiments. In this case, a survey is conducted, and the probability is calculated by dividing the number of adults in favor of police body cameras by the total number of adults surveyed. Since this probability comes from actual data collected from a population, it is empirical, as opposed to theoretical probability which is based on known mathematical principles or subjective probability which is based on personal judgment or opinion.

The statement is an example of empirical probability because it is based on data from a survey, reflecting observed frequencies in favor of police body cameras.

The given statement is an example of empirical probability. Empirical probability is based on observed data or past experiences.

In this case, the probability is determined through a survey, which involves collecting and analyzing data from a sample of adults.

The observed frequency of adults in favor of police body cameras is used to estimate the probability, making it empirical.

Answer:

96

Step-by-step explanation:

160% is the same as taking the number times 1.6

1.6 x 60 = 96

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet...

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

24 points

Step-by-step explanation:

Answer:

Option A) [tex](2,\sqrt{21})[/tex]

Step-by-step explanation:

The following information is missing in the question:

A. [tex](2,\sqrt{21})[/tex]

B. [tex](2,\sqrt{23})[/tex]

C. (2, 1)

D. (2, 3)

We are given the following in the question:

A circle centered at origin and radius 5 units.

We have to find the equation of a point that lies on the circle.

Let (x,y) lie on the circle.

Distance formula:

[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Putting

[tex](x_2,y_2) = (x,y)\\(x_1.y_1) = (0,0)\\d = 5[/tex]

We get,

[tex]5 = \sqrt{(y-0)^2 + (x-0)^2}\\\sqrt{x^2+y^2}=5\\x^2+y^2 = 25[/tex]

is the required equation of point on the circle centered at the origin with a radius of 5 units.

The point [tex](2,\sqrt{21})[/tex] satisfies the given equation.

Verification:

[tex](2)^2 + (\sqrt{21})^2\\=4 + 21\\=25[/tex]

Thus, [tex](2,\sqrt{21})[/tex] lies on the circle centered at the origin with a radius of 5 units.

Answer:

A. (2,\sqrt{21})

Step-by-step explanation:

Answer:18472.6

use pie cylinder formula

Multiply the volume of the tub by 0.75 to find the volume of the water.

Step-by-step explanation:

To calculate the volume of water in the tub, you first find the radius of the cylinder, calculate the total volume, and then find 75% of that volume, finally converting the units if necessary and rounding to the nearest tenth, we get volume od water to be approximately 18451.2 cubic inches

To find the volume of water in the tub when it's 75% filled, we first need to find the volume of the entire tub and then multiply it by 75%.

The volume \ V  of a cylinder is given by the formula:

[tex]\[ V = \pi r^2 h \][/tex]

where:

-  r  is the radius of the cylinder,

-  h  is the height of the cylinder.

Given:

- Diameter  d = 28 inches, so radius [tex]\( r = \frac{d}{2} = \frac{28}{2} = 14 \)[/tex] inches,

- Height  h = 40 inches.

Substituting these values into the formula:

[tex]\[ V = \pi \times (14)^2 \times 40 \]\[ V = \pi \times 196 \times 40 \]\[ V = 7840\pi \, \text{cubic inches} \][/tex]

Now, to find the volume when the tub is 75% filled, we multiply the volume of the entire tub by 75% (or 0.75):

[tex]\[ \text{Volume of water} = 0.75 \times 7840\pi \, \text{cubic inches} \]\[ \text{Volume of water} = 5880\pi \, \text{cubic inches} \][/tex]

Now, let's compute the value:

[tex]\[ \text{Volume of water} \approx 5880 \times 3.14 \, \text{cubic inches} \]\[ \text{Volume of water} \approx 18451.2 \, \text{cubic inches} \][/tex]

Answer:

[tex]\frac{70}{sin40^{\circ}}[/tex]

Step-by-step explanation:

We are given that

Height of the kite from the ground=h=70 feet

[tex]\theta=40^{\circ}[/tex]

We have to find the length of kite string in term of trigonometric ratios.

Let length of string=x

We know that

[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin40^{\circ}=\frac{h}{x}[/tex]

[tex]sin40^{\circ}=\frac{70}{x}[/tex]

[tex]x=\frac{70}{sin40^{\circ}}[/tex]

Hence, the length of kite string=[tex]\frac{70}{sin40^{\circ}}[/tex]

Answer:

The correct option is;

a. F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex]

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line [tex]\overline{AA'}[/tex] as the  dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex].

Answer:

A

Step-by-step explanation: i got it right on edge

Answer:

Step-by-step explanation:

Answer:

1. [tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]

2. [tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]

3. [tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]

4. [tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]

Step-by-step explanation:

Recall that

[tex](\sqrt[n]{x})^{m} = (x^{\frac{m}{n}})[/tex]

Where [tex]x^{m}[/tex] is called radicand and n is called index

1. Root(5, (m + 2) ^ 3)

In this case,

n is 5

m is 3

x = (m + 2)

[tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]

2. Root(3, (m + 2) ^ 5)

In this case,

n is 3

m is 5

x = (m + 2)

[tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]

3. Root(5, m ^ 3) + 2

In this case,

n is 5

m is 3

x = m

[tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]

4. Root(3, m ^ 5) + 2

In this case,

n is 3

m is 5

x = m

[tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]

Answer:

45ft

Step-by-step explanation:

The remaining piece has to be found. How far away is the end of the pole from the base of the pole along the ground.

We deduct original to broken 81-28 = 53 feet tall.  

PT + to find the other side.

53^2 - 28^2 = S^2

√2025 = 45 = S^2

S^2 = 45ft

Step-by-step explanation:

Hello there!

Solve for x:

-3x(x-8)-7x=12

-3x^2+24x-7x=12

-3x^2+17x+12=0

Can you factor it further?Feel free to ask questions in the comments.

:)

Answer:

70 degrees

Step-by-step explanation:

The adjacent angles in a parallelogram are supplementary and add to 180 degrees

∠CDE+∠DEF=180

We know that ∠CDE is 110 degrees, so we can substitute that in

∠CDE+∠DEF=180

110+∠DEF=180

Subtract 110 from both sides

∠DEF= 70

So, ∠E is 70 degrees

Answer:

Matias divided 7.6 by 10 raised to the power of -2.

Step-by-step explanation:

Given : Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left.

To find : Matias divided 7.6 by 10 raised to the power of ?

Solution :

Matias preformed an operation with 7.6 and a number.

He ended up moving the decimal point in 7.6 two places to the left we have to multiply it with 0.01

i.e. [tex]7.6\times 0.01=\frac{7.6}{100}=0.076[/tex]

So, Matias divided 7.6 by 10 raised to the power of -2.

Answer:

(m+5) (m-9) = 0

Step-by-step explanation:

An equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given that, the solutions of an equation are m = -5, and m = 9, we need to find the equation,

(m + 5) (m - 9) = 0

One possibility is that of a quadratic equation.

y = (m + 5) (m - 9)

y = m² - 9m + 5m - 45

y = m² - 4m - 45

Hence, an equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ5

Answer:

44.057 to nearest hundredth

44.06

Answer:

168

Step-by-step explanation:

Total entree = 6

Total slides = 4

Total drinks = 7

Lunch special includes 1 entree, 1 slide, and one drink.

Option for entree

= 6_(c_1 )

= 6

Option for slides

= 4_(c_1 )

= 4

Option for drinks

= 7_(c_1 )

= 7

So, total option ordering meal,

= 6*4*7

= 168

Answer:

3:20 pm.

Step-by-step explanation:

Time Yasmin got home: 4:25

Time it took to walk home: 15 minutes

Practice started: 20 minutes after bell.

Practice lasted for 30 minutes.

For us to find this out, you have to calculate all the activities.

An hour is 60 minutes.

A half hour is 30 minutes.

15 + 20 + 30 = 65 minutes.

65 minutes = an hour and five minutes.

4:25 - 1:05 = 3:20.

Feel free to let me know if you need more help! :)

Answer:

3:20 p.m

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula to calculate the volume of the cone is π/4(1/3 x 4r²h).

The correct option is D.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

Given:

In the derivation of the formula for the volume of a cone,

the volume of the cone is calculated to be π/4 times the volume of the pyramid that it fits inside.

The volume of the cone,

= π/4 (the volume of the pyramid)

= π/4 (1/3 x the base area x height)

= π/4(1/3 x 2r x 2r x h)

= π/4(1/3 x 4r²h)

Therefore, the volume is π/4(1/3 x 4r²h) cubic units.

To learn more about the pyramid;

https://brainly.com/question/17615619

#SPJ6

The complete question is given in the attached image.

To calculate how many pounds of a chemical a container can hold, you multiply the container's volume by the weight of the chemical per cubic foot. In the example given with a container measuring 4 ft x 3 ft x 2 ft, which has a volume of 24 cubic feet, the container would hold 1920 pounds of a chemical that weighs 80 pounds per cubic foot.

To answer your question on how many pounds of the chemical a container can hold, we need to calculate the volume of the container first and then use the provided density to find the weight of the chemical that fits in that volume. Unfortunately, the dimensions of the container are not provided in your question, so I'll give you an example of how to do this calculation instead.

Let's assume that the container is a box with the following dimensions: length (L) = 4 feet, width (W) = 3 feet, and height (H) = 2 feet. To find the volume (V) of the container, you multiply these dimensions:

V = L x W x H
V = 4 ft x 3 ft x 2 ft
V = 24 cubic feet

Now, to find out how much chemical can fit inside this volume, we use the fact that one cubic foot of the chemical weighs 80 pounds:

Weight of chemical in container = Volume of container x Weight per cubic foot
Weight of chemical in container = 24 cubic feet x 80 pounds/cubic foot
Weight of chemical in container = 1920 pounds

So, if the container had these assumed dimensions, it could hold 1920 pounds of the chemical.

Answer:

To find the line parallel to the line y = -2/3x + 1 and passing through the point (-6, -1), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.

Since we are given the slope, we need to find the y-intercept of the line. We can find the y-intercept by substituting the point (-6, -1) into a new equation with the slope of m = -2/3. Remember that slope-intercept form is y = mx + b.

y = -2/3x + b (substitute the ordered pair)

-1 = -2/3(-6) + b

-1 = 4 + b (subtract 4 from both sides)

-5 = b

Therefore, the equation of the line passing through the point (-6, -1) and parallel to y = -2/3x + 1 is y = -2/3x - 5.

Step-by-step explanation:

I NEED THE ANSWER ASAP!! I WILL MARK BRAINLIEST!!

write a linear equation with the given information passing through

Answer:

20

Step-by-step explanation:

Hi there,

To find the least common multiple (LCM) of 2 numbers, I would recommend listing off a few multiples of each number. Since they are small, it shouldn't be too hard.

Multiples of 4:

4, 8, 12, 16, 20

Multiples of 5:

5, 10, 15, 20

As you can see, the first multiple that 4 and 5 both share is 20. So the least common multiple of 4 and 5 20.

Answer:

The projected world population in 1998 is 6,216,871,541.95

Step-by-step explanation:

Here we have the formula for exponential growth given by

A = P(1 + r)^t

Where:

A = Population at the end of the time period

P = Population at the start of the time period

r = Rate percent of population growth

t = Time period of interest

Therefore, given r = 2% = 2/100 = 0.02, P = 5,000,000,000;

t = year 1998 - year 1987 = 11 years

We have

A = 5,000,000,000 ×[tex](1+0.02)^{11}[/tex]= 6,216,871,541.95

≈ 6.2 billion.

To find the projected world population in 1998, we can use the exponential growth model. The initial population in 1987 was 5 billion with a growth rate of 2% per year. By applying the formula, the projected population in 1998 is estimated to be approximately 6.255 billion.

To find the projected world population in 1998, we can use the exponential growth model. The formula for exponential growth is P = P0 * (1 + r)t, where P is the final population, P0 is the initial population, r is the growth rate, and t is the number of years.

In this case, the initial population (P0) in 1987 was 5 billion, the growth rate (r) was 2 percent per year, and we want to find the population in 1998, which is 11 years later.

Using the formula, we can calculate the projected population in 1998 as follows:

Therefore, the projected world population in 1998 would be approximately 6.255 billion.

brainly.com/question/34350466

#SPJ3

Answer:

$ 2.50

This is the right answer for ed2020

Answer:

$2.50

Step-by-step explanation:

Bc yeah <3

Answer:

2401

Step-by-step explanation:

7 * 7 * 7 * 7 = 2401

Answer:

36 feet squared

Step-by-step explanation:

Finding the perimeter of an object is adding all of the sides together. If the width of the rug is 6 feet then we know that there are two sides that length. Add those together.

6 feet + 6 feet = 12 feet

You would subtract the number you get from the perimeter.

24 feet - 12 feet = 12 feet

And then divide the number by the number of sides left, 2, to get each of their lengths.

12 feet / 2 feet = 6 feet

To find the area of a rectangle you multiply length times width, which in this case both are 6 feets.

6 feet x 6 feet = 36 feet squared

Answer:

c

Step-by-step explanation: