Fiona is going to jog once around the block she lives on. The block is rectangular, and it is yards long and feet wide. How far will Fiona jog (in feet)?

Answer:

36 * 3 - 12 * 6 * 1 = 36

Step-by-step explanation:

36 * 3 - 12 * 6 * 1 = 36

Answer:

opens UP and has a minimum value.

Step-by-step explanation:

The given quadratic function opens UP (the branches of the associated parabola open up) because the coefficient that accompanies the leading term (leading coefficient) is positive.

Since the graph is a parabola with arms pointing up, the graph should have a minimum located at the vertex of the parabola.

Answer:

m=5/6

Step-by-step explanation:

arrange all the "m's" at the left side and the numbers at the right side doing that we get

m-m+m=1-2/3+1/2

m=5/6

Answer:

Step-by-step explanation:

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x) add g(x) to f(x)

That's

We have the final answer as

Hope this helps you

Answer:

[tex]\Large \boxed{(f + g)(x) = 4x - 2}[/tex]

Step-by-step explanation:

We have two functions.

f(x) = 7x - 4

g(x) = -3x + 2

To find (f+g)(x), we have to find the sum of f(x) and g(x).

(f+g)(x) = f(x) + g(x)

(f + g)(x) = 7x - 4 + -3x + 2

Combining like terms.

(f+g)(x) = 7x - 3x - 4 + 2

(f + g)(x) = 4x - 2

Answer:

B

Step-by-step explanation:

Answer:

6 1/4 cup of soda for one cup of pineapple

Step-by-step explanation:

2/ 5 of pineapple for every 2 1/2 cups of soda

1 cup of pine apple         ??

(2 1/2)/(2/5)

5/2 ÷2/5    ( when divide fraction,change ÷ to × and flip the fraction (reciprocal)

5/2×5/2=25/4   or  6 1/4

Answer:

) 3.3

2) 1.7

3) 8.8

4) -8.55

5) 3.22

6) 7.48

Step-by-step explanation:

Answer:

x = 15 and y = 30

Step-by-step explanation:

We see that 4x + 15 + 5x + 30 = 180.

We can solve for x:

9x + 45 = 180

9x = 135

x = 15.

We also see that 5x + 30 is equal to 3y + 15, so we can solve for y:

5x + 30 = 3y + 15

5 (15) + 30 = 3y + 15

3y = 75 + 30 - 15

3y = 90

y = 30.

Answer:

8 feet

Step-by-step explanation:

Distance can be explained as the way to measure how far a thing or something is apart from each other numerically, it shows how close or far apart between two point

From the question, we are given two point

Point1= 12 feet

Point 2= 4 feet

Then Distance between the two point= 12feet-4feet

= 8feet

Hence the distance= 8 feet

Answer:

B

Step-by-step explanation:

34-12=22

34+(-12)=22

+x- = -

+x+ = +

-×-= +

Answer:

B.  all real numbers

Step-by-step explanation:

The domain is the values for the input

The values that x takes for this function is all real values

The Answer Is:

All Real Numbers

Answer:

100/250*100= 40%

Step-by-step explanation:

40%

2 1/2m = 250 cm

250cm .............100%

100cm ..................x%

x = 100cmx100%/250 cm

= 10000%/250

= 40%

Answer:

B The graph of g(x) is the graph of f(x) shifted to the right 6 unit

Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

[tex]f(x) =10^{x}[/tex]

[tex]g(x)=f(x-6)=10^{(x-6)}[/tex]

f(x)  shift right 6 units to get f(x-6)

Given that

g(x) = f(x-6)

Therefore graph of g(x) is the graph of f(x) shifted to the right 6 units

Hence, Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units

Learn more about Function here

https://brainly.com/question/12431044

#SPJ2

Step-by-step explanation:

angle ACB=75° (being inscribed angle)

Angle BCD=105° (sum of straight line)

angle BCD + angle BQD=180° (opposite angle of quadrilateral inscribed in circle is supplemetry)

105° + x =180°

x= 75°

Answer:

The answer is 11

Step-by-step explanation:

got `100%

Answer:

144

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

4[tex]\sqrt{2}[/tex] × 6[tex]\sqrt{18}[/tex]

= 4 × 6 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{18}[/tex]

= 24 × [tex]\sqrt{36}[/tex]

= 24 × 6

= 144

Answer:

  2550 ft

Step-by-step explanation:

The difference between 2550 ft and 0 ft is 2550 ft.

The balloon must descend 2550 ft to reach an altitude of 0 ft.

Answer:

-4x+26

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ { \boxed{ \sf{8 {x}^{3} - {x}^{2} - 4x + 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(8 {x}^{3} - 3 {x}^{2} + x) + (2 {x}^{2} - 5x + 4)}[/tex]

When there is a ( + ) in front of an expression in parentheses , no need to change the sign of each term. That means , The expression remains the same. Also , remove the unnecessary parentheses

⇒[tex] \sf{8 {x}^{3} - 3 {x}^{2} + x + 2 {x}^{2} - 5x + 4}[/tex]

Collect like terms

⇒[tex] \sf{8 {x}^{3} - 3 {x}^{2} + 2 {x}^{2} - 5x + x + 4}[/tex]

⇒[tex] \sf{8 {x}^{3} - {x}^{2} - 4x + 4}[/tex]

Hope I helped!

Best regards!!

Hey there! I'm happy to help!

QUESTION 100

Here, we are looking for the number of permutations. A permutation is the number of possible arrangements you can make from a given set of things (order matters). If you have 6 kids standing in alphabetical order in line, that is one permutation. If you do reverse alphabetical order, that is a different permutation.

We are asked to find the number of permutations using the given format:

[tex]_{n}P_{r}\\[/tex]

This is simply a representation of what we want to find. The P means we are looking for the number of permutations. The n is the total number of objects in the set (for example, if there were 26 kids we could choose from to make this 6 person line, n would be 26). The r is the number of things chosen from the set (in our line example, the r would be six because we are choosing 6 kids).

The formula for finding the number of permutations is [tex]\frac{n!}{(n-r)!}[/tex]. The ! is factorial, it means you multiply that number by every integer counting backwards towards 1. 6! is 6×5×4×3×2×1. There is an option to do this on your calculator, though.

Let's solve this problem.

[tex]_{5}P_{4}=\frac{5!}{(5-4)!}= \frac{120}{1} =120[/tex]

This means that there are 120 permutations.

QUESTION 101

Now we have a C. This is similar to permutations but with combinations order does not matter. With our line example, having the same six kids in alphabetical order is a different permutation than having it in backwards alphabetical order. With combinations, if you have those specific six kids, it is just one combination; the order does not matter.

The formula for combinations is [tex]\frac {n!}{r!(n-r)!}[/tex]. Let's plug in our numbers and solve for this.

[tex]_{8}C_{2}=\frac{8!}{2!(8-2)!} =\frac{8!}{2!(6!)}=\frac{40320}{1440} =28[/tex]

QUESTION 102

Quick note: 0! is equal to 1. I don't really know why but there's probably proof somewhere.

[tex]_{7}C_{0}=\frac{7!}{0!(7-0)!} =\frac{7!}{7!} =1[/tex]

And I believe you already have Question 103 figured out.

4!=4×3×2×1=24

Have a wonderful day! :D

Step-by-step explanation:

Hey, there!!

You can get your answer simply, just remember the two point formula,

Given, the points are (0,2),(8,8).

We have, Formula for two points is,

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

Put all values here,

[tex](y - 2) = \frac{8 - 2}{8 - 0} (x - 0)[/tex]

[tex](y - 2) = \frac{6}{8} (x -0)[/tex]

[tex](y - 2) = \frac{3}{4} (x - 0)[/tex]

multiply (y-4) by 4 and (x-0) by 3.

[tex](4y - 8) = 3x[/tex]

Bringing 4y and -8 on same side of 3x.

[tex]0 = 3x - 4y + 8[/tex]

[tex]or \: 3x - 4y + 8 = 0[/tex]

Therefore, 3x-4y+8=0..... is the required equation.

Hope it helps..

Answer:

1 ⁵/2........ .......

.

Answer:

Step-by-step explanation:

[tex]\frac{15}{2}=7\frac{1}{2}[/tex]

Answer:

the second one

Step-by-step explanation:

Answer:

8x+2y+2

Step-by-step explanation:

First, write it out as it's given:

3y+2+3x-y+5x

Then, combine the x-terms first:

3y+2-y+8x

Next, combine the y-terms:

2+2y+8x

Answer:

2.15 seconds

Step-by-step explanation:

Given the equation of the height (in feet) of the ball above the ground t seconds after a shot is released from your hand modeled by the function

f(t)= -16t² + 32t + 5.2 where t is in seconds.

Note that the value of the height at the point the ball is released from the hand is 0 feet.

To get value of t when the ball is released from your hand, we will substitute f(t) = 0 into the modeled equation as shown;

f(t)= -16t² + 32t + 5.2

-16t² + 32t + 5.2 = 0

Multiply through by 10

-160t² + 320t + 52 = 0

Dividing through by -4

40t² - 80t - 13 = 0

t = 80±√80²-4(40)(-13)/2(40)

t = 80±√6400+2080/80

t = 80±√8480/80

t = 80±92.09/80

t = 80+92.09/80

t = 172.09/80

t = 2.15 secs

Hence, the value of t when the ball is released from your hand is approximately 2.15seconds.

Answer:

5(3x)-7y^2.

5(3×3)-7(2×2).

45-28=17.

Answer:

Step-by-step explanation:

a = 1 m 60 cm = 1.6 m

b = 1 m 80 cm = 1.8 m

c = 2 m

perimeter = a + b + c = 1.6 + 1.8 + 2 = 5.4 m = 5 m 40 cm

★ AnsWer :

➨ 540 cm

★ Step by step Explaination :

Let triangle be ABC,

1m = 100 cm

[tex]\begin{lgathered}\bullet\:\:\textsf{AB = 1m 60cm = \textbf{160 cm}}\\\bullet\:\:\textsf{BC = 1m 80cm = \textbf{180 cm}}\\\bullet\:\:\textsf{CA = 2m = \textbf{200 cm}}\end{lgathered}[/tex]

[tex]\setlength{\unitlength}{1.5cm}\begin{picture}(6,8)\linethickness{0.5mm}\qbezier(1,.5)(2,1)(4,2)\qbezier(4,2)(2,3)(2,3)\qbezier(2,3)(2,3)(1,0.5)\put(.7, .3){$C$}\put(4.05, 1.9){$B$}\put(1.7, 2.95){$A$}\put(3.2, 2.5){\sf{160 cm}}\put(0.7,1.7){\sf{200 cm}}\put(2.7, 1.05){\sf{180 cm}}\end{picture}[/tex]

[tex]\rule{130}1[/tex]

[tex]\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccording} \: to \: \mathscr {Q} \bf{uestion} ....}}}[/tex]

[tex]\begin{lgathered}\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}}=Sum\:of\:all\:sides\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = AB + BC + CA\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = 160 + 180 + 200\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt Perimeter_{{\tiny\triangle ABC}} = 540 \:cm}}\end{lgathered}[/tex]

[tex]\therefore\:\underline{\textsf{Perimeter of triangle ABC is \textbf{540 cm}}}.[/tex]

Answer:

First term is [tex]\frac{3}{2}[/tex].

Common difference: -1

Step-by-step explanation:

Given the sequence:

[tex]\frac{3}{2} , \frac{1}{2} , -\frac{1}{2}, -\frac{3}{2}, ...[/tex]

we notice that one term is generated from the previous one by subtracting from it "1". That means that the common difference for this sequence is "-1", and its first term is [tex]\frac{3}{2}[/tex].

Answer:

[tex]\frac{1}{6}\\[/tex]

Step-by-step explanation:

To find the probability, divide the number of desired outcomes by the total:

This will be 3/18, since there are 3 convertibles and there are 18 total cars

Simplify 3/18

= [tex]\frac{1}{6}[/tex]