a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow

Answers

Answer 1

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

Answer 2

Answer :

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.


Related Questions

Hi. Please i need help with this question.
Find the operation used in determining each of the values in the diagram.
Workings Please.​

Answers

Answer:

3*3+1=10

4*4+5=21

Step-by-step explanation:

You square the number in the first box

3*3=9

4*4=16

And add the number in the second box with the result.

3*3=9+1=10

4*4=16+5=21

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

We must square the number on the left box, then add with the number in the right box to get the result in the boxes below.

3² + 1 = 9 + 1 = 10

4² + 5 = 16 + 5 = 21

Please help! Solve for p: -p + 8 - 9 = 9

Answers

Answer:

-10

Step-by-step explanation:

-p+8-9=9

-p-1=9

-p=10

p=-10

The answer is “-10” check it out.

Calculate the average speed in miles per hour of a journey of 36 miles which took 45 minutes. with explanation pls thx

Answers

Speed= distance/time
So your distance is 36 miles and the time is 45 minutes. U convert the time to hours and you’ll get 0.75 hours.

Speed = 36/0.75
= 48 miles/hour

Answer:

= 48 miles/hour

Step-by-step explanation:

Speed=distance/time

Speed = 36/0.75

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?

Answers

Its the area of his garden
494949 would be the area bc it’s the space inside of his garden

I know how to do it but right now I'm cooking and have no time please say if the first part is right and the second part will be much appreciated!

Answers

Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.

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

Part B will have you replace x with 8 and simplify

length = x+15 = 8+15 = 23

width = x+3 = 8+3 = 11

the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards

Answer:

Below

Step-by-step explanation:

As we see the area is expressed as second degree polynomial

We have already a side wich is (x+15)

● x^2 +18x + 45 = w × (x+15)

● w = (x^2 +18x+45)/(x+15)

Using the eucledian division we get:

● w = x+3

Since x^2 +18x +45 = (x+15) × (x+3)

So your answer was right

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the dimensions if x= 8 yards

● the length

x+15 = 8+15 = 23 yards

● the width

x+3 = 8 + 3 = 11 yards

● the area

(x+15)×(x+3) = 23 × 11 = 253 yards^2

Abby and Katy are selling cheesecakes. There are apple and pecan cheesecakes. Abby sold 14 pecan and 3 apple cheesecakes for a total of $113. Katy sold 7 pecan and 8 apple cheesecakes for a total of $180. What's the cost of one pecan cheesecake and one apple cheesecake?

How would I set this up?​

Answers

If you want to set up the equations:

let the cost of one apple cheesecake be [tex] a[/tex] and the cost of one pecan cheesecake be $p$

from Abby, $14p+3a=113$

and from Katy....?

then solve for both variables

can you take it from here?

Use a number line to approximate the value of :

Answers

Answer:

9 < [tex]\sqrt{88}[/tex] < 10

Step-by-step explanation:

[tex]\sqrt{88}[/tex] = 9.38083152

Answer:

Third option

Step-by-step explanation:

Notice that √88 is close to √81 wich is 9.

● √88 is greater than √81 so it is greater than 9.

● √88 is less than √100 wich is 10

● so √88 is between 9 and 10

What is the coefficient of x5y5 in the expansion of (x + y)10?

Answers

Answer:

C=252

Step-by-step explanation:

Given:

x^5y^5

(x+y)^10

Find the coefficient of x^5y^5

To get the coefficient of x^5y^5,

we will put r = 5, in the below given general term.

The general term is : nCr =x^ry^n-r

We get:

Coefficient is = 10C5

= 10!/5!*5!

= 252

The coefficient of x^5y^5 is 252

C. 252

252

GOD BLESS U. Sorry if I’m wrong I tried my best

The graph below shows the relationship between the number of months different students practiced baseball and the number of games they won:

The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in slope-intercept form and use it to predict the number of games that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)

Answers

Answer:

(A) The y-intercept of the line is 1.82.

(B) The number of games that could be won after 13 months of practice is 26.

Step-by-step explanation:

The data from the provided graph is:

X Y

0 1

1 3

2 5

3 9

4 10

5 12

6 13

7 14

8 17

9 18

10 20

Here,

X : Number of Months of Practice

Y : Number of Games Won

(A)

Compute the y-intercept of the line as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot \sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]

   [tex]=\frac{122\cdot 385-55\cdot 814}{11\cdot 385-(55)^{2}}\\\\=1.818\\\\\approx 1.82[/tex]

The y-intercept of the line is 1.82.

The y-intercept is the average value of the dependent variable, here the number of games won, when the value of the independent variable, here number of months of practice, is 0.

So, a y-intercept of 1.82 indicates that on average 1.82 can be won if the number of months of practice is 0.

(B)

Compute the slope as follows:

[tex]b=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]

  [tex]=\frac{11\cdot 814-55\cdot 122}{11\cdot 385-(55)^{2}}\\\\=1.855\\\\\approx 1.86[/tex]

The equation for the line of best fit in slope-intercept form  is:

[tex]y=1.82+1.85x[/tex]

Predict the number of games that could be won after 13 months of practice as follows:

[tex]y=1.82+1.85x[/tex]

  [tex]=1.82+(1.85\timex 13)\\=25.87\\\approx 26[/tex]

Thus, the number of games that could be won after 13 months of practice is 26.

Will give brainliest to first person Solve with determinants x+4y=5 , 5x-7y=-2

Answers

This equation is Independent.
The correct answer is the equation is independent.
Have a nice day!

Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy? A. 1.4 gal B. 2.5 gal C. 3.5 gal D. 4.5 gal

Answers

There are 4 quarts in 1 gallon. So if Mary bought 10 quarts, divide by 4 to get the equal number of gallons. 10/4 = 2.5 so the answer is B.

Answer:

2.5 gallons (B)

Step-by-step explanation:

1 gallon is equal to 4 quarts. So, if Mary bought 10 quarts, that is 10/4 gallons. Simplified, 10/4=5/2=2.5 gallons.

find the mean, median, mode, and midrange. Then decide which you think is the most meaningful measure of average for that data set. For larger data sets, you should consider using technology. The number of beds at all licensed hospital in Hillsborough County, Florida, in 2015: 98 120 493 206 73 102 183 870 76 60 60 112 147 1,018 201

Answers

Answer:

mean = 254.6

median = 120

mode = 60

midrange = 958

For average data sets i prefer by finding the mean

Step-by-step explanation:

mean :

(98+120+493+206+73+102+183+870+76+60+60+112+147+1018+201) ÷ 15 = 254.6

median : 60 60 73 76 98 102 112 120 147 183 201 206 493 870 1018

find the middle number

= 120

mode :

number that is more than one

= 60

midrange :

highest number - smallest number

= 1018 - 60

= 958

Are minerals renewable or not?

\(216^{\frac{2}{3}}=?\) A.36 B.6 C.108 D.12

Answers

Answer:

36

Step-by-step explanation:

(216) ^ (2/3)

Rewriting 216 as 6^3

(6^3) ^ (2/3)

We know that a^ b^c = a^ (b*c)

6 ^ (3*2/3)

6^2

36

the answer is A which is 36

PLEASE HELP ME WITH MY HOMEWORK!! ASAP! WILL PICK BRAINLIEST! DUE IN 15 MINUTES!!!

Answers

Answer:

watch 11:39 . clock is 11:24 .    210m .    1mm .   12 degrees . 3/4hrs .    

Step-by-step explanation:

Step-by-step explanation:

10. It says the watch is 9 minutes fast and the time announced is 11:30 that will be 9 minutes added to the 11:30 which will give 11:39

Now, for the clock , it says the clock is 6 minutes slow, that will be 11:30 - 6 minutes the six minutes will be minused from the 30 minutes which will give 11:24

11. since it is 10 m above the ground and the full length is 220 m which part of is under the ground since we are given the length above the ground in order to find the length of the ground we say 220-10 which will give 210

so the distance of the bottom of the drill from there ground level is 210

12. x + 5

x - 3

to give their difference that will be 5+3 which will be 8

cross check

using 5 to represent x

5+5 =10

5-3 =2

the difference between them is 8 you can use another number to represent x but the difference will still be 8

13. To find the temperature if the frozen meat that will be 34 + 22 degree that gives 56

14. it says she was at the airport 1hr 30 minutes before the appointed time so if the plane was to take off by 9:00 that means she reached there 7:30 then it was 9:00 the plane was late again for 3/4 of hour late so 60 minutes makes up an hour that gives 60×3/4 that gives 45 meaning the plane was late for another 45 minutes how long does she wait that gives 1hr 30 minutes plus 45 minutes convert all to minutes =60 minutes + 30 minutes + 45 minutes which is 135 minutes convert to hour 2 minutes gives 120 seconds so 135-120 =15

so she waited at the airport for 2 hrs 15 minutes

15. since out of the 6400 Dani he paid his debt of 600 and gave it sola who has only 1900

that will be 6400-600 and 1900+600

so sola has 2500 while Dani has 5800

16. she can only pay back 40

B. (not sure)

17. meaning the sister owes 800 naira

b. by 1700+800 =2500

18. that gives 950000-97000 =853000

can somebody help me with this math problem

Answers

Answer:

D). 137

Step-by-step explanation:

1). 40 % of 50 = 20

  50 + 20 = 70

2). 40 % 70 = 28

  70 + 28 = 98

3). 40 % of 98 = 39.2, basically 39

   98 + 39 = 137

137 is the right answer

Pls make my answer brainiest))))

the answer would be be D 137

help me plz can somewon help me

Answers

Answer:

4*10^6

Step-by-step explanation:

Answer:

4 × 10^6

Step-by-step explanation:

[tex]\frac{8\times 10^2^4}{2\times 10^1^8}=\\\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4\\\\=\frac{10^{24}\times \:4}{10^{18}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{10^{24}}{10^{18}}=10^{24-18}\\\\=4\times \:10^{24-18}\\\\\mathrm{Subtract\:the\:numbers:}\:24-18=6\\\\=10^6\times \:4\\\\10^6=1000000\\\\=1000000\times \:4\\\\=4000000\\\\= 4\times10^6[/tex]

The number of oranges that Joe has is a multiple of 6. When he sells one orange, the number of oranges is a multiple of n. If n is a positive integer less than 10, how many possible values are there for n?

Answers

Answer:

2

Step-by-step explanation:

The number of oranges he has is a multiple of 6, so the number can be

6, 12, 18, 24, 30, 36, 42, 48, 54, etc.

He sells one orange, so now he an have:

5, 11, 17, 23, 29, 35, 41, 47, 53, etc.

All numbers above up to 53 are multiples of 1, so n can be 1.

Also 5 and 35 are multiples of 5, so n can be 5.

All numbers other than 5 and 35 are prime.

Answer: 2

2 is the correct answer!

Lisa read 46 pages on Sunday, 15 pages on Monday, and 19 pages on Tuesday. Which of the following is closest to the mean number of pages she read over the three-day period? A. 19 pages B. 21 pages C. 27 pages D. 35 pages Show all work!!

Answers

Answer:

C. 27 pages

Step-by-step explanation:

First, add all of the numbers together

15+19+46

That would be 80.

Then, once you have the numbers added, divide the number you by how many numbers there are.

80 divided by 3 = 26.7 (rounded)

Now that you have the answer 26.7, that tells you that the answer is 27 pages.

Answer:

c.27

Step-by-step explanation:

You have to add 46,15, and 19 together which gets you 80. Then you divide it by 3 and you get 26.(something) since its a decimal, you need a whole number. You round to 27 because its the closest. (When finding the mean, you must add the numbers and divide by how many numbers there are (3))

please solve this fast​

Answers

Answer:

69

Step-by-step explanation:

Find the reference angle of the following angles:405°, 750°, ‒ 210°, 495° ‒660°, 480°

Answers

Answer:

Step-by-step explanation:

405÷180=2×180+45,45°

750=180×4+30,30°

-210+180=-30,30°

495÷180=2×180+135,180-135=45°

-660°+360=-300°+360=60,60°

480-360=120,180-120=60,60°

Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P=20x-0.01x^2 -240 to predict her profit P in dollars this season if her trees produce x bushels of apples. What is Faith’s predicted profit this season if her orchard produces 300 bushels of apples?

Answers

P=20x-0.01x^2-240

P=20(300)-0.01(300)^2-240

P=6000-0.01(90000)-240

P=6000-900-240

P=4860

Remember PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

EXPLANATION: first Is Parentheses, which would be 300, multiply that by 20, that would be 6000.

Next is Exponents, which would be the (^2) so you would Multiply the 300 by itself 2 times. which is 90000

Next is Multiplication, Multiply 0.01 by 90000, which would be 900.

There is nothing to divide or add so skip that.

Next is subtraction, subtract 6000-900-240 and the answer would be 4860.

so Faith's prediction profit for this season would be 4860 when her orchard produces 300 bushels of apples.

I hope that helped! Good Luck!

Type the correct answer in each box. If necessary, use / for the fraction bar.
Complete the statements about series A and B.
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...

Series (a or b) has an r value of (blank) where 0<|r|<1. So, we can find the sum of the series. The sum of the series is (blank) ​

Answers

Answer:

Step-by-step explanation:

Given two  series A and B;

Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...

Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...

Both series are geometric series since they have the same common ratio. Given the geometric series T₁, T₂, T₃, T₄..., the common ratio r is expressed as [tex]\frac{T_2}{T_1} =\frac{T_3}{T_2} =\frac{T_4}{T_3} = r[/tex].

a) For series A, Given T₁ = 10, T₂ = 4, T₃ = 8/5 and T₄ = 13/125

Its common ratio is expressed as [tex]\frac{4}{10} =\frac{8/5}{4} =\frac{13/125}{8/5} = 2/5[/tex]

Hence the common ratio of series A is 2/5

The sum to infinity of the geometric series will be expressed as [tex]s_\infty = \dfrac{a}{1-r}[/tex]

Note that the sum to infifnity is used since the series is tending to infinity.

a is the first term if the series = 10

r - 2/5

On substituting this values into the formula;

[tex]s_\infty = \dfrac{10}{1-2/5} \\\\s_\infty = \dfrac{10}{3/5} \\\\s_\infty = 10* 5/3\\s_\infty = 50/3[/tex]

Hence the sum of the series is 50/3

b) For the series B;

Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...

The common ratio of the series is expressed as shown;

[tex]\frac{3/5}{1/5} =\frac{9/5}{3/5}= \frac{27/5}{9/5 } = r\\ r = (3/5 * 5/1) = 9/5*5/3 = 27/5*5/9 = 3[/tex]

Hence its common ratio is 3.

Sun of the series is expressed similarly as:

[tex]s_\infty = \frac{a}{1-r}\\ s_\infty = \frac{1/5}{1-3}\\\\s_\infty = \frac{1/5}{-2}\\\\[/tex]

[tex]s_\infty = 1/5 * -1/2\\s_\infty = -1/10[/tex]

Hence the sum of series B is -1/10

Perform the indicated operations. (2x+5y+z-6)+(6x-4y-z+7)+(-4x+y-3z-4)

Answers

Answer:

your anwser is 4 x + 2 y − 3 z − 3

Step-by-step explanation:

Simplify:4 x + 2 y − 3 z − 3

Answer:

4x + 2y - 3z -3.

Step-by-step explanation:

2x+5y+z-6)+(6x-4y-z+7)+(-4x+y-3z-4)

Removing the parentheses:

= 2x + 5y + z - 6 + 6x - 4y - z + 7 - 4x + y - 3z - 4

Bringing like terms together:

= 2x + 6x - 4x + 5y - 4y + y + z - z - 3z - 6 + 7 - 4

Simplifying like terms we have:

4x + 2y - 3z -3.

Find an equation of the line with the slope m= 3/2 that passes through the point (8,-3). Write the equation in the form Ax+By = C.

Answers

Answer:

work is shown and pictured

i’ll mark you brainliest, please show work!!

Answers

Answer:

width = 10

length = 2 (10) + 7 = 27

Step 1:

If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.

Step 2:

We can solve this by using this equation:

2w + 7 + w = 37

Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.

2w + w = 30

Add the w's together:

3w = 30

And then divide both sides by 3 to get:

w = 10

Step 3:

Now, we can plug in w into our equation to solve for the width and length.

width = 10

length = 2 (10) + 7 = 27

_____2w+7_____

|                             |  w

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

The width is 10 and the length is 27

what is the domain of the function shown in the graph below?

answer type: Interval, all real numbers, all values except one, all values except two
interval:

Answers

Answer:

  all values except one (-2)

Step-by-step explanation:

The function heads off toward infinity at x=-2, so it is not defined there. The function is defined for all values except one.

All values except 1 (-2)

What is the result of subtracting the second equation from the first?

Answers

Answer: 11x - 8y = -9

Step-by-step explanation:

Subtract it by terms.

8x - (-3x) = 11x  

-4y - (4y) = -8y

-4-5= -9    

order it

11x - 8y =-9

the answer is 11x - 8y = -9

What will come in the circle
I will even rate who ever answer
And give brainliest

Answers

Answer:

1st circle: 1.25

Second circle: 2

Step-by-step explanation:

We can use the cross product property here to find the value of what's in the circles.

Let's first look at the first two fractions.

[tex]\frac{x}{5} = \frac{1}{4}[/tex]

We can multiply the cross values and divide by the number that is diagonal to the variable.

[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]

So 1.25 goes in the first circle.

Now let's look at the last two circles and use the same property to find the missing value.

[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]

So 2 goes in the second circle.

Hope this helped!

Answer:

x = 5/4

Step-by-step explanation:

Use the variable 'x' instead of 'the circle.'  Then:

 x         1

----- = ------

 5         4

Cross-multiplying, we get

4x = 5, and so x = 5/4

In a certain freshman class, the number of girls is 83 less than twice the number of boys(b). The total number of students in that freshman class is 259. How many boys and girls are in that class.

Answers

Answer:

Boys = 114

Girls = 145

Step-by-step explanation:

Boys = b

Girls = 2b-83

b+2b-83=259

3b=259+83

3b=342

b=114

Boys = b = 114

Girls = 2b-83=228-83=145

The number of boys is 114 and the number of girls is 145

The given expression in algebraic form is written as:

let the number of boys = b

then, the number of girls, g = 2b - 83

given total number of students, t = 259

To find:

the number of boys and girls in the class.

Set the following equations to find the number of boys and girls:

number of boys + number of girls = total number of students

[tex]b + g = 259\\\\b + 2b -83 = 259\\\\3b = 259+83\\\\3b = 342\\\\b = \frac{342}{3} \\\\b = 114\\\\The \ number \ of \ girls = 2(114) - 83 = 145[/tex]

Thus, the number of boys is 114 and the number of girls is 145

Learn more here: https://brainly.com/question/17765207

What is the mode of the data represented in the dot plot shown in the image? A. 0 B. 1 C. 2 D. 3 Show all work!

Answers

Answer:

2

Step-by-step explanation:

The mode is the number that appear most often

The number with the most dots is 2

The mode is 2

The mode in any data set is the number that gets represented the most.

As you can see on the plot, the number that gets represented the most is 2.

Best of Luck!

Other Questions
The value root of 46 of lies between which two consecutive integers Exercise 7-9 Variable and Absorption Costing Unit Product Costs and Income Statements [LO7-1, LO7-2, LO7-3]Walsh Company manufactures and sells one product. The following information pertains to each of the companys first two years of operations:Variable costs per unit: Manufacturing: Direct materials $ 25Direct labor $ 15Variable manufacturing overhead $5Variable selling and administrative $2Fixed costs per year: Fixed manufacturing overhead $250,000Fixed selling and administrative expenses $80,000During its first year of operations, Walsh produced 50,000 units and sold 40,000 units. During its second year of operations, it produced 40,000 units and sold 50,000 units. The selling price of the companys product is $60 per unit.Required:1. Assume the company uses variable costing:a. Compute the unit product cost for Year 1 and Year 2.b. Prepare an income statement for Year 1 and Year 2.2. Assume the company uses absorption costing:a. Compute the unit product cost for Year 1 and Year 2.b. Prepare an income statement for Year 1 and Year 2.3. Reconcile the difference between variable costing and absorption costing net operating income in Year 1. The following information was available from the inventory records of Sunland Company for January: Units Unit Cost Total Cost Balance at January 1 9000 $9.70 $87300 Purchases: January 6 6000 10.35 62100 January 26 8300 10.73 89059 Sales January 7 (7400 ) January 31 (11300 ) Balance at January 31 4600 Assuming that Sunland does not maintain perpetual inventory records, what should be the inventory at January 31, using the weighted-average inventory method, rounded to the nearest dollar? Which line(s) from the poem show the reader that the poet is not just makinga statement about trees?OA. Now, of my threescore years and ten/ Twenty will not come again,B. And stands about the woodland ride/Wearing white forEastertide.) C. Loveliest of trees, the cherry now/ Is hung with bloom along thebough.OD. About the woodlands I will go/To see the cherry hung with snow. Plz help ASAP PLZZZ!!! What was Martin Luther's main gripe with the Catholic Church? According to Luther, how does a person gain salvation? You are walking past a construction site on a hot day when you notice one of the workers staggering about. The man is sweating profusely and tells you that he feels weak and dizzy. Which action would be most appropriate for you to do first? A ball is thrown upward from a height of 432 feet above the ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v (t )equals 96 minus 32 t feet per second. a) Find s(t), the function giving the height of the ball at time t. b) How long will the ball take to reach the ground? c) How high will the ball go? draw the graph of linear equation 5y = 3x + 18 on a cartesian plane. From the graph check weather (-2,4) is the solution of the linear equation or not PLS URGENT ANSWER What makes the value of x makes the equation true? [tex]7x = 80 + 9x[/tex] What is the equation of a circle with center (-4,7) and a radius 6 Food microbiologists are scientists who have a background in both microbiology and food science. They focus on how microbes grow, cause disease, and how they can be identified from food. Their work is of importance to the food industry as it relates to the production, preservation, and spoilage of food; and it is of importance to public health and regulatory agencies due to the many diseases that are related to food intake and consumption. Food microbiologists can have varying backgrounds, including training in veterinary medicine. This scenario is about a food microbiologist who works as a food safety inspector who pays a visit to a cheese manufacturing plant and makes some interesting discoveries!Part A-Understanding the Role of Microbes in Fermentation The Midwest is known for its contribution to the dairy industry Fermented dairy products include milk, yogurt, and cheese. The fermentation process relies on lactic acid bacteria and pasteurization. Fermentation can vary based on what food is being produced, the type of bacteria used to produce lactic acid, and the time and temperature of pasteurization. It is important to the manufacturer to produce a product that won't spoil before it is packaged and sold and that won't result in disease for those who ingest and enjoy it. Julie, a food inspector for a local Michigan health department is going to a nearby cheese plant for a biannual inspection. When she gets there, she will take a tour of the plant and allow the operators to describe what makes their cheese so special. She will use what she understands about fermentation to inquire about their production practices Please sort the following statements as being true or false regarding fermentation and its role in food production. Please recall the role that microorganisms can play in the production of foods. 1. Fermentation allows for sugars to be broken down 2. Starter cutures are for the growth of pathogens or the food such as bread, vegetables, and n food Some grains, fruits, and 3. Fermentation can be used only to Bacteria ane the only have their own microbes that used in the Correct Statements By using ____, you can use reasonable, easy-to-remember names for methods and concentrate on their purpose rather than on memorizing different method names. Jonah read 5 1/2 chapters in his book in 90 minutes how long did it take him to read one chapter A buoy floating in the sea is bobbing in simple harmonic motion with amplitude 13 in and period 0.25 seconds. Its displacement d from sea level at time t=0 seconds is 0in, and initially it moves downward. (Note that downward is the negative direction.)Required:Give the equation modeling the displacement d as a function of time t. What was the significance of the Crossing of the Delaware River during the American Revolution? A) Sometimes it is okay to retreat for safety. B)It proved Washington's army could fight as well as the experienced British forces. C)It led them to safety from winter. D)none of these answers are correct. what is a disavanege for renewable solor power FINAL QUESTION!!! EASY I AM JUST NOT TO SURE.. GOT 8 MINUTES LEFT!!! AT LEAST COME LOOK !!! WILL GIVE BRANLIEST!!14. __________ is when the mind supports the efforts of the body and vice versa.A) Total fitnessB) Heart rateC) Muscle toneD) Strength-building Consider a bit stuffing framing method where the start of a frame is indicated by 6 consecutive ones, followed by 2 zeroes. What should be the bit stuffing rules at the transmitter? What should be the bit destuffing rules at the receiver? Fill in the blank to show what is the stream after bit stuffingWrite the rule for stuffing:Write the rule for destuffing:Assume the user data stream before bit stuffing is 011111100011111101. What is the stream after bit stuffing? can someone show me how to do this please?