Which situation is most likely to show a constant rate of change?
A. The distance traveled by a truck driving at a constant speed
compared with time
B. The cost of a new car compared with the number of tires it has
C. The weight of a child compared with its age in months
D. The outside temperature compared with the time of day

Answer:

Step-by-step explanation:

There are five lines of symmetry in a regular pentagon:

Each going from side midpoint to opposite vertex.

here is a drawing of all of them filled in:

Answer:

6 Fancy shirts

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

Function f(x) = x², when transformed a new function g(x) is formed.

Let the new function is g(x) = kx²

Since a point (1, 4) lies on the new graph g(x),

By satisfying the equation of the new function with the coordinates of the point (1, 4),

4 = k(1)

k = 4

Therefore, transformed function g(x) will be,

g(x) = 4x²

Option (C) will be the answer.

Answer:

Step-by-step explanation:

I also need the answer

Answer:

[tex]5^{8}[/tex]

Step-by-step explanation:

[tex]5^{2^{3} } =\\5^{8}[/tex]

We get this because we need to cube the first exponent first. (confusing? Reply to my answer)

Answer:

5^8

Step-by-step explanation:

When I multiply the given expression, I get 390625. Then, when I multiply the options, the one that matches that number is 5^8.

Answer:

y-6= -2(x+2)  

Step-by-step explanation:

A= (-2, 6)

B= (2, -2)

y= mx+b

slope:

intercept:

the function is:

y-2=2(x+2) ⇒ y= 2x+6 - no

y-6= -2(x+2) ⇒ y= -2x +2 - yes

y-2= -2(x+6) ⇒ y= -2x - 10- no

y-2= -2(x+2) ⇒ y= -2x- 2 - no

Answer:

74 plots

Step-by-step explanation:

74 plots; 1628/22=74 it says that she splits it in EQUAL sized plots of 22 EACH which means that you are trying to find how many 22 acres of plots there is. Therefore you do 1628/22.

Answer:

the answer is A. 99 degrees because 81 + 18 = 99

Answer:

99°

Step-by-step explanation:

basically write the triangle in degree language like this is a acute angle because this is a 70* degree angle and talk more

Answer:

the answer to the following questions is 10870.46873

Answer:

12 hours

Step-by-step explanation:

Given

1 inch = 400 miles

1 inch = 400 miles

multiplying LHS and RHS by 9

1*9 inche = 400*9 miles

9 inches = 3600 miles

Given that on map distance from point A to point B is 9 inches

Actual distance will be 3600 miles as calculated above.

we know that

Time = distance / speed

given

speed = 300 mph

distance = 3600 miles

time = 3600 miles/300 mph = 12 hours

Thus, trip will take 12 hours.

Answer:

-3/7

Step-by-step explanation:

If two lines are parallel, it is determined that both of their slopes are the same. In this case, they are and one slope is given so, the other is the same.

-3/7

If lines are parallel that means the slope would be the same

If it's was perpendicular then the slope would've been 7/3

Hope this helps!

Answer:

42

Step-by-step explanation:

The chart shows how many bags have a certain number of sweets (e.g. 3 of the 9 bags have 39 sweets). To calculate how many sweets there are in the 10th bag, set up an equation where [tex]x[/tex] represents the number of sweets in the 10th bag:

[tex]\frac{39(3)+40(2)+41(1)+42(1)+43(0)+44(2)+x}{10}=41[/tex]

41 is the mean, which you get by adding the number of sweets in each bag together and dividing it by the number of bags.

Simplify the equation:

[tex]\frac{117+80+41+42+88+x}{10}=41[/tex]

[tex]\frac{368+x}{10} =41[/tex]

Multiply both sides by 10:

[tex]368+x=410[/tex]

Isolate the variable:

[tex]x=42[/tex]

Answer:

42

Step-by-step explanation:

It's right

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

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Answer:

y=7/10+3/10

Step-by-step explanation:

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

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Answer:

Step-by-step explanation:

[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})= (-5, -5)\\\\(\frac{x_{1}-6}{2},\frac{y_{1}-3}{2})=(-5,-5)\\[/tex]

Compare the x & y values

 [tex]\frac{x_{1}-6}{2}=-5[/tex]             ;      [tex]\frac{y_{1}-3}{2}=-5[/tex]

x₁ - 6 = -5 *2           ;   y₁ - 3 = -5*2

x₁ - 6 = - 10             ;    y₁ -3 = -10

x₁ = -10 +6              ;    y₁ = -10 +3

x₁ = -4                     ;  y₁ = -7

Endpoint(-4, -7)

Answer:

lines p and q are parallel because they are kinda the same in every part even the hight.

Answer:

Alternate exterior angles converse theorem.

Step-by-step explanation:

i just know :)

Answer:

(16x² - 72x + 85) / (4x-9)

Step-by-step explanation:

first put g(x) into h(x)

h(g(x)) = 4(x-2) - 1 = 4x - 8 - 1 = 4x - 9, then

f(h(g(x))) = (4x - 9) + (4/4x-9) = ((4x-9)(4x-9) + 4)/(4x-9) =

(16x² - 72x + 81 + 4)/(4x-9) = (16x² - 72x + 85)/(4x-9)

If you are missing parentheses around (x+4)/x, then the answer would be different.

Answer:

(16x² - 72x + 85) / (4x-9)

Step-by-step explanation:

first put g(x) into h(x)

h(g(x)) = 4(x-2) - 1 = 4x - 8 - 1 = 4x - 9, then

f(h(g(x))) = (4x - 9) + (4/4x-9) = ((4x-9)(4x-9) + 4)/(4x-9) =

(16x² - 72x + 81 + 4)/(4x-9) = (16x² - 72x + 85)/(4x-9)

Answer:

Pretty sure it is D.

Step-by-step explanation:

How I think the narrator was thinking: I mean, yes, its a wedding on Saint Patricks, but you still need to dress appropriatley (its a wedding)

Penny was dressed slightly more unusually than other guests. This is the narrator's most likely point of view. Therefore, the correct option is option D.

A storyteller or narrator. The narrator chooses the point of view for the tale in a fictional work. The narrative is considered to be within the first person if the narrator actively participates in the events of the story. A third-person narrative is one in which the narrator is not one of the characters.

The story's narrator chooses the audience's point of view, and this individual is known as the narrator. There's one in every piece of fiction! A figure inside the tale, such as the protagonist, who is narrating it from his own point of view, is one example of the narrator. Penny was dressed slightly more unusually than other guests. This is the narrator's most likely point of view.

Therefore, the correct option is option D.

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Answer:

14.1 I think

Step-by-step explanation:

Answer:14.1

Step-by-step explanation:

Answer:

C) The triangles are not similar

Step-by-step explanation:

There are 3 triangle similarity theorems:

We can find the all the angles of both triangles, so we can determine the similarity of these triangles only by first theorem

Angles of ΔQRS:

<Q = 63°

<R = 90°

<S = 180°-63°-90° = 27°

Angles of ΔTUV:

<T=180°-90°-25° = 65°

<U = 90°

<V = 25°

As none of the angles are same, triangles are not similar.

Answer:

c 81

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

From similar triangles ABC and ABD. DB/BC = DA/BA is the correct proportion.

Given that, ABC is a right triangle and BD drawn perpendicular to AC.

Consider triangles ABC and BCD,

∠C = ∠C (Reflexive property)

∠CBA = ∠CDB (Both measures 90°)

ΔABC similar to ΔBCD

BA/DC = CB/BD = BC/AC

Similarly,

Consider triangles ABC and ABD

∠A = ∠A (Reflexive property)

∠CBA = ∠ADB (Both measures 90°)

ΔABC similar to ΔABD

AB/AC = AD/AB = BD/BC

Therefore, DB/BC = DA/BA is the correct ratio.

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Answer:

B. 3 radians

Step-by-step explanation:

We are given the following components of the circle.

Radius of circle (r) = 4 cm

Length of arc (l) = 12 cm

Lenght of arc of a circle is given by the following formula:

[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]

Substituting the values of l and r in the above formula, we find:

[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\

\therefore 12 = \theta \times 4\\\\

\theta = \frac{12}{4}\\\\

\theta = 3 \: radians[/tex]

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus

average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D

Answer:

the median is 21

Step-by-step explanation:

8 , 15 , 21 , 25 , 63

that is what you have to do you would have to put them in order from least to greatest so then you would see the middle number which is 21