A square coffee shop has sides that are 5 meters long. What is the coffee shop's area?

Answer : 14 Meters

Explanation : 2 * 3 * 14 Is = To 84

◊ YusuCr ◊

Answer:

14 m

Step-by-step explanation:

The formula to find the volume of a rectangular prism is \(l * w * h = V\). We are given the volume as 84, height as 3, and width as 2.

Therefore, the length of the prism is 14 meters.

The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

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Answer:

No

Step-by-step explanation:

70 is divisible by 5. 5 is not an even number.

Answer:

No

Step-by-step explanation:

The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.

Answer: The second one

Step-by-step explanation:

response/25=x/100 and then you solve for x

A percentage is a way to describe a part of a whole. The correct table is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the number of students who play different sports as,

Basketball = 4

Football = 7

Lacrosse = 3

Soccer = 8

Volleyball = 3

Now, the percentage of students for each sport can be written as,

Basketball = 4/25 = 0.16

Football = 7/25 = 0.28

Lacrosse = 3/25 = 0.12

Soccer = 8/25 = 0.32

Volleyball = 3/25 = 0.12

Hence, the correct table is B.

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The point-slope forms of the equation from the information given is 1. y + 2 = ï½(x-1), 2.y - 3 = 2(x+1) , 3.y - 5 = 1(x-8), 4. y + 7 = -5/7(x+1) and 5.y - 3/2 = -1(x-1/2).

1.

slope m = ï½ and  (h, k) = (1, -2)

The point slope is y + 2 = ï½(x-1)

2.

slope = 2 , point (-1, 3)

y - 3 = 2(x+1)

3.

The line goes through the points (8,5) and (9, 6).

slope m = 6-5 / 9-8

= 1/1

= 1

y - 5 = 1(x-8)

4.

The line goes through the points (-1, -7) and (-8, -2)

slope m = -2+7 / -8+1

= 5/-7

= -5/7

y + 7 = -5/7(x+1)

5.

The line goes through the points (1/2, 3/2) and (-1/4, 5/4)

slope m = 5/4 - 3/2 / -1/4 - 1/2

= 5 - 6 / 4 / -1 + 2 / 4

= -1/1

= -1

y - 3/2 = -1(x-1/2).

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Answer:

.76 x 10 or 7.6 x 10^0

Step-by-step explanation:

divide coefficients and subtract exponents

5.4 / 7.1 = .76

10^-7 / 10^-8 = 10

The volume of a pyramid can be calculated as:

Where B is the area of the base and H is the height. We are given V = 60 cubic inches and H = 5 inches. Solving for B:

Substituting:

The area of the base is 36 square inches.

We must choose the option whose area is 36 sq in.

A square of a side length of 6 inches has an area of:

Thus, the correct choice is D.

The product of the integer numbers 235 and 617 is rounded off only one non-zero digit will be 200,000.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The integer numbers are shown below.

235 and 617

The product of the integer numbers will be given as,

⇒ 235 × 617

⇒ 144,995

If the integer number is rounded off, then the integer number will be

⇒ 145,000

⇒ 150,000

⇒ 200,000

The product of the integer numbers 235 and 617 is rounded off only one non-zero digit will be 200,000.

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The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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Answer:

(1,-3) and (-1,-3)

Step-by-step explanation:

Since both y-values are less than 0, they will be lower than the x-axis. This works for all points.

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a.) How much money does Spongebob earn per hour?

b.) How much money does Squidward earn per hour?

c) Who earns more per hour? Justify your answer

Spongebob earns more than that of squidward per hour.

Refer to attachment for Solution ~

The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.

Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.

The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.

Function h has an x-intercept of 1 and a y-intercept of -3.  The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5

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By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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Using compound interest, it is found that the account that has about the same annual interest rate as Meg's current savings account is given by:

\(S = 50(1.0025)^y\)

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

In this problem, considering yearly interest, we have that the equation is:

\(S(y) = 50(1.0304)^y\)

Hence r = 0.0304.

Considering monthly interest, we have that:

\(r_m = \frac{0.0304}{12} = 0.0025\)

Hence, the desired account has the equation given by:

\(S = 50(1.0025)^y\)

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Answer:

Part A: y = x - 2 and y = x + 2

Part B: (11, 9); (12, 10); (13, 11); (14, 12); (15, 13); (16, 14) and (1, 3); (2, 4); (3, 5); (4, 6); (5, 7); (6, 8); (7, 9)

Part C: In the first table, Rachel's age is 2 years younger than Sean's. In the second table, Sean's age is 2 years older than Rachel's. Both relationships are functions because each input has exactly one output.

Part D: No; for example, when Sean is 14, Rachel is 12. 14 is not 12 times 2, so this rule cannot work.

If you have any questions or need further clarification, let me know!

Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

x(2+y)

Step-by-step explanation:

sum of 2 and y=2+y

product of x=x times expression

:. Answer =x(2+y)

Answer:

- 1/4

Step-by-step explanation:

because 5/8 can't subtract 7/8 it is going to have to go in negatives to -2/8

Now 2/8=25 so 1/4 is the lowest form for 25 is 1/4 but were in negatives so - 1/4

Hope it helps have a great day:)

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

Step-by-step explanation:

(6,3) m = 1/2

b = y - (m)(x)

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

b = -3 - 3

b = -6

y = 1/2x - 6

Answer:

A Rational numbers

B Integers

\(\huge\underline\red{Answer -}\)

\(\bold{8 \frac{2}{5} }\: \\\\ \implies \: \frac{5 × 8 + 2}{5} \: \\ \\ \implies \: \frac{ 40 + 2}{5} \\\\ \implies \frac{42}{5} \\\\ \rightarrow \:\boxed {reciprocal \: = \frac{5}{42} } \\ \\\)

hope helpful ~

\(\huge\text{Hey there!}\)

\(\mathsf{8 \dfrac{2}{5}}\\\\\mathsf{= \dfrac{8\times5+2}{5}}\\\\\mathsf{= \dfrac{40 + 2}{5}}\\\\\mathsf{= \dfrac{42}{5}}\\\\\mathsf{=\dfrac{5}{42}}\\\\\huge\text{Therefore, the answer should be: \boxed{\mathsf{\dfrac{5}{42}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Answer:

135 visitors stayed until the zoo closed.

Step-by-step explanation:

Number of visitors on Friday = 250

Percentage of visitors stayed back until the zoo closed = 54%

Number of visitors stayed back until the zoo closed = 54% of 250

= \(\frac{54}{100} * 250\)

= \(\frac{13500}{100}\)  

=  135 people

135 visitors stayed until the zoo closed.

Hope this helps.

Answer:

It is

Step-by-step explanation:

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.

Answer:

77% decrease

Step-by-step explanation:

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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The published data refers to the government census info being published online. She did not do an observational study because she didn't go to each household herself (rather let the census workers do that task).

The data is quantitative because she is looking at the number of people living in homes in her city. Quantitative data is simply dealing with quantities or numbers. Contrast this with qualitative data that talks about something like color choice.

Answer:

D: Kira used published data that is quantitative.

Step-by-step explanation:

edg2020

Quantitative means regarding numbers and facts. How many people live in homes in her city is a factual number that is quantitative data. What color shirt they are all wearing is qualitative.. Its not an observational study at all either, so A and B are false