The area in square feet of a rectangular garden can be expressed as the product of the garden’s length and width, or A(x) = 3x2 +13x +14. If the width of the garden is (x + 2) feet, what is the length of the garden?

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

Answer:

theres something call a calculator but anyways lol the answer is 32472

Answer:

32,472 is the correct answer

Answer:

Q=63 degrees

Step-by-step explanation:

R=60 degrees

since T=123 degrees, S=180-123=57 degrees

There is 180 degrees in a triangle

Q=180-60-57

Q=63 degrees

Answer:

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

Let's calculate this, use points C(4,3), D(12,12)

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]

Using the ratio for 0.45 oz of yeast,

[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]

[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]

Using the ratio for 720 oz of flour,

[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]

[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Learn more about Ratio:

https://brainly.com/question/1504221

Answer:

The function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Step-by-step explanation:

We know that an exponential function is of the form

y = abˣ

where 0 < b < 1

Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as

here 0 < b < 1 and a > 0

Therefore, the function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Answer:

36/x =48/24

36/x =2

2x= 36

x= 36/2

x=18

Answer:

12

Step-by-step explanation:

12 doesn't fit the data because it is so much farther from the general average of the others.

12 affects the median because with it, the median is 74. but without 12, the median is 76.

12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

Answer:

80 because that you need to work on

Answer:

900 km/h

Step-by-step explanation:

Answer:

if the two points are known. 4/3 or 1.333

Answer:

7 2/3 or 7.666

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

since we only have two points we have to do

4/3 x 23/4 = 7 2/3 or 7.666

so the answer is 7 2/3 or 7.666

Answer:

2950

Step-by-step explanation:

the answer is 2950 the reason why is if u solve the given problem this is what you get

Answer:

250+45=325 x 10=3250

Step-by-step explanation:

Answer:

The company has 70 falvors

Answer:

x = 40

Step-by-step explanation:

Answer: the answer I’m is 16,800

Step-by-step explanation:

To find the number of kg you multiply the number by 1,000.

16.8*1,000=16,800

Answer:

Please leave more information.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

2x=10

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

39° + 90° + (7x + 16)° = 180°

39 + 90 = 129

180 - 129 = 51

7x + 16 = 51

7x + 16 - 16 = 51 - 16

7x = 35

7x/7 = 35/7

x = 5

Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

Answer:

honestly I think its QT

Step-by-step explanation:

hope it helps

Answer: 1, 0

Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.

The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.

So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

Hence, the above answers are correct.

Learn more about values here: https://brainly.com/question/20347857

Answer:

37 minutes. :))

Step-by-step explanation:

Answer:

[tex] {x}^{3} \sqrt{x} [/tex]

Step-by-step explanation:

hope it helps ☺️

suggestions : Photomath application

it will be explained you about how to find solutions.