What is the rate of change of the function?

Answer:

x = 3/2

The axis of symmetry is located at the vertex,

which is the also the highest point in this problem...

the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2

x = 3/2

Step-by-step explanation:

Answer:

3.0019009e+15

Step-by-step explanation:

the word and is multiplication so multiply the two numbers

Answer:

3.001900896*10^15 is the answer

Answer:

-k

Step-by-step explanation:

Cos(140)=cos(180-40)=-cos(40)=-k

Answer:

Step-by-step explanation:

Sin (90 - A)  = Cos A

Cos (90 + A) =   -Sin A

Sin 50 = Sin (90 - 40)

          = Cos 40

         = k

Cos 140 = Cos (90 + 50)

             = - Sin 50

            = (- k)

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

∠

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

Answer:

[tex]\sqrt[6]{2\\}[/tex]

Step-by-step explanation:

Rewriting

2 ^1/2 ÷ 2 ^ 1/3

We know a^ b ÷ a^c = a^ (b-c)

2 ^ (1/2 -1/3)

Getting a common denominator

2^ ( 3/6 - 2/6)

2^ 1/6

[tex]\sqrt[6]{2\\}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:

[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]

Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:

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

We just need to subtract 1/3 from 1/2 to get:

[tex]2^{\frac{1}{6} }[/tex]

This is the same as the 6th root of 2, which is the second option.

Answer:

The answer is E.

Step-by-step explanation:

A quadrilateral that has only one pair of parallel sides is called a Trapezoid.

Answer:

D.44

Step-by-step explanation:

i hope its help for you po

Step-by-step explanation:

the answer is in the image above

Answer:

a₅₀₀ = 3517

Step-by-step explanation:

a₁ represents the first term and d the common difference

Here a₁ = 24 and d = 31 - 24 = 7 , then

a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517

Answer:

The answer is "35.22".

Step-by-step explanation:

Let the given equation:

[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]

Answer: $25

Step-by-step explanation: took the quiz

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.

Step-by-step explanation:

x-14y=0

x=0/14y

x=14y

14y

Answer:

Empty square = +

Empty Circle = ÷

Step-by-step explanation:

In order to eliminate the extra numbers from the equation you have to do the opposite of the problem. So...

-6x-1=5

-6x -1+1 = 5+1 (eliminating the 1 from the -6x side and adding it to the other side)

-6x = 6

-6x ÷ -6 = 6 ÷ -6 ( eliminating the-6 so that one side just has x)

so... x= -1

Answer: Option B is your correct answer.

Answer:

x=-9/10

Step-by-step explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

=

−9/10

x=-9/10

Answer:

x = - 4 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )

x = - 4 ± [tex]\sqrt{7}[/tex]

Then

solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]

Answer:

x = 58

y = 39

Step-by-step explanation:

x = 58 (Vertically opposite angles)

x + 2y + (x-14) = 180 (Angles in a straight line)

=> x + 2y + x - 14 = 180

=> 2x + 2y = 180 + 14

=> 2(58) + 2y = 194

=> 116 + 2y = 194

=> 2y = 194 - 116

=> 2y = 78

=> y = 78/2

=> y = 39

Answer:

500ml orange juice is the most cost effective

Answer:

The answer to this question is C.

Answer:

Step-by-step explanation:

28 kg + 750 g = 28*1000 + 750

                          28000 + 750

                       = 28750 g

Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack

                           = 28750 ÷ 500

                           =  57 sacks

Answer:

57 sacks

Step-by-step explanation:

28750 ÷ 500 =

57 sacks

Glad to help! :)

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

Answer:

The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]

[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]

[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $400 and standard deviation $20.

This means that [tex]\mu = 400, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 400}{20}[/tex]

[tex]X - 400 = 20*1.28[/tex]

[tex]X = 425.6[/tex]

$425.6 should be budgeted for weekly repairs and maintenance.

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]

Answer: 33/3

Step-by-step explanation:

I don't know the question is weird but it probably is 33/3

Answer:

x = -7       y = 35

Step-by-step explanation:

-5x = -7x - 14

2x = -14

x = -7

y = -5(-7)

y = 35

Answer:

None Of the Above.

Step-by-step explanation:

As we know that the general equation of circle is

( x - h )^2 + ( y - k )^2 = r^2

putting h=5 and k= 4 and r= 5

x² + 25 - 10x + y² +16 - 8y = 25

x² + y² - 10x - 8y + 16 = 0 is the answer.

I got this answer from Gauthmath its a really cool new app having solutions from tutor. Just scan questions and you can get answers from tutor.

you can get the app on Play Store or App Store. Or you can join their discord (Gauthmath_Homeworkhelp).

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

        = 12/13

hence, sin B=  12/13

Learn more about trigonometry here:

https://brainly.com/question/14746686

#SPJ2

Answer:

Percent * base = Amount

660 g = 660 g

3kg = 3000g

percent(3000) = 660

percent = 660/3000

percent = .22

.22 = 22%

Step-by-step explanation:

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation: