Find the base.

16 = ?

The exponent is 4

Answer:

can u give the prices for the tickets?

An adult ticket costs $2 more than a child ticket

Let x and (x + $2)represent the cost of the child and adult ticket respectively

2(x+ $2) + 3x = $34

now solving for x

2x+ $4 + 3x = $34

5x = $30

 x = $6 , the cost of the child ticket.

the cost of adult ticket $6+2=$8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Replace the X and Y coordinates with the numbers and find the outcomes.

Good luck with the quiz!!!

Answer:

12 lbs

Step-by-step explanation:

When finding a percentage you move the decimal point of the percentage to the left twice.

Find the amount that was donated,

60 x 0.2 = 12

So 12 lbs were donated

You can also do it this way:

First we find the amount that was sold,

60 x .80 = 48

Then subtract 48 from the total of 60 to find the left over,

60 - 48 = 12

Answer:

(32)4 or 32×4=128. the ( ) is just a separation line that kinda means times

The scale factor of TRAP to EZYD is 1.25.

Dilation is the increase or decrease in the size of a figure by a scale factor of k. If k > 1 it is an increase and if k < 1, it is a decrease.

To find the scale factor of TRAP to EZYD:

Scale factor = ZE / TR = 15 / 12 = 1.25

The scale factor of TRAP to EZYD is 1.25.

Find out more on dilation on: https://brainly.com/question/10253650

Answer:

[tex]y=\frac{1}{2}[/tex]

Step-by-step explanation:

We can solve this system using elimination.

In this case, we can eliminate y by subtracting both equations...

[tex]3x-2x-4y-(-4y)=10-6\\x-4y+4y=10-6\\x=4[/tex]

Then, substitute 4 for x to solve for y...

[tex]3x-4y=10\\3(4)-4y=10\\12-4y=10\\\text{Subtract 12 from both sides}\\-4y=-2\\\text{Divide both sides by -4}\\y=\frac{1}{2}[/tex]

Answer:

y=1/2

Step-by-step explanation:

3x-4y=10..............{1]

2x-4y=6................(2)

subtract equa(2) from equa(1)

x=4

substitute x=4 into equa(1)

3(4)-4y=10

12-4y=10

-4y=10-12

-4y=-2

y=1/2

Answer:

Step-by-step explanation:

6x + 9 = 8 - 4.4x                Add 4.4x to both sides

6x+4.4x+ 9 = 8                  Combine

10.4x + 9 = 8                      Subtract 9 from both sides

10.4x = 8 -       9                 Combine

10.4x = - 1                            Divide by 10.4

x = - 1 / 10.4

Answer x = -0.09615 or rounded x = - 0.1

Answer:

(a + 3)

Step-by-step explanation:

a³ - 9a = a(a² - 9) = a(a + 3)(a - 3)

a² + a - 6 = (a - 2)(a + 3)

a⁴ + 27a = a(a³ + 27) = a(a - 3)(a² + 6a + 9) = a(a - 3)(a + 3)(a + 3)

HCF = (a + 3)

Hope it helps.

;)

<3

Answer:

Refer to your notes from module 6 on this.

Step-by-step explanation:

Complete this test question just like you did the practice question from the module. Remember your test is an open note test, but it is not a copy from the internet test. You can do it!!!

The values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.

The solution of trigonometric functions is the values of angles where the function value becomes zero.

Given function is:

A)[tex]f(\theta ) = 2Sin\theta +\sqrt{3}[/tex]

[tex]f(\theta ) = 2Sin\theta +\sqrt{3} = 0\\2Sin\theta = -\sqrt{3} \\Sin\theta =-\frac{\sqrt{3} }{2}[/tex]

[tex]\theta =n\pi +\frac{\pi }{3}[/tex] where n=1,3,5,7......

So, at [tex]\theta =n\pi +\frac{\pi }{3}[/tex]  pogo stick's spring will be equal to its non-compressed length.

B)If the angle was doubled, the function will look like this,

[tex]f(\theta ) = 2Sin2\theta +\sqrt{3}[/tex]

[tex]f(\theta ) = 2Sin2\theta +\sqrt{3} =0[/tex]

[tex]2Sin2\theta +\sqrt{3} = 0\\2Sin2\theta = -\sqrt{3} \\Sin2\theta =-\frac{\sqrt{3} }{2}[/tex]

[tex]2\theta =n\pi +\frac{\pi }{3}\\\theta = \frac{n\pi }{2} +\frac{\pi }{6}[/tex]where  n=1,3,5,7....

if n=1, [tex]\theta =\frac{2\pi }{3}[/tex]

n=2, [tex]\theta =\frac{7\pi }{6}[/tex]

n=3, [tex]\theta =\frac{5\pi }{3}[/tex]

So,  [tex]\theta =\frac{2\pi }{3}, \frac{7\pi }{6} ,\frac{5\pi }{3}[/tex] will be solution in [0,2π}.

C)[tex]g(\theta) =1-cos^{2} \theta +\sqrt{3}[/tex]

[tex]g(\theta) =Sin^{2} \theta + \sqrt{3}[/tex]

[tex]g(\theta) =f(\theta)[/tex]

[tex]sin^{2} \theta +\sqrt{3} = 2Sin\theta+\sqrt{3}[/tex]

[tex]Sin^2\theta = 2Sin\theta[/tex]

[tex]Sin^2\theta-2Sin\theta = 0\\Sin\theta(Sin\theta-2) =0\\Sin\theta =2(NotPOSSIBLE)\\Sin\theta =0[/tex]

[tex]\theta=n\pi[/tex] where n=1,2,3.....

So, [tex]\theta=n\pi[/tex], the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.

To get more about trigonometric functions visit:

https://brainly.com/question/2291993

Answer:

Qué es la pregunta

La opción correcta es el menor de todos es E. opción C

Veamos partes por partes lo que tenemos:

1. A es mayor que B: entonces se escribe A > B

2. C es menor que D: entonces se escribe C < D

3. E es menor que C: entonces se escribe E < C

4. B es mayor que D: entonces se escribe B > D

5. Unimos 1 y 2: A > B  > D

6. Unimos 5 y 2: A > B  > D > C

7. Unimos 6 y 3: A > B  > D > C > E

B es el menor de todos: falso, D, C, E son menores que B, D es el menor de todos falso, C y E son menores que D, E es el menor de todos verdadero, D es menor que C falso D es mayor que C.

Answer:

the answer 56 cubic units

Step-by-step explanation:

Answer:

7. parallel:  k = 3

   perpendicular:  k = -4/3

8. $1300

Step-by-step explanation:

7.

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

  8y = 12x + 6

⇒ [tex]y=\dfrac32x+\dfrac34[/tex]

   4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ [tex]y = \dfrac12kx + \dfrac52k[/tex]

If the graphs are parallel their slopes will be the same.

[tex]\implies \dfrac32=\dfrac12k[/tex]

[tex]\implies k=3[/tex]

If the graphs are perpendicular then the product of their slopes will be -1.

[tex]\implies \dfrac32 \times \dfrac12k=-1[/tex]

[tex]\implies \dfrac12k=-\dfrac23[/tex]

[tex]\implies k=-\dfrac43[/tex]

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table:  (10, 110) and (20, 195)

Let [tex](x_1,y_1)[/tex] = (10, 110)

Let [tex](x_2,y_2)[/tex] = (20, 195)

Use the slope formula to find the slope m:

[tex]\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}[/tex]

Now use the point-slope form of linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-110=\dfrac{17}{2}(x-10)[/tex]

[tex]\implies y=\dfrac{17}{2}x+25[/tex]

Substitute x = 150 into the equation and solve for y:

[tex]\implies y=\dfrac{17}{2}(150)+25=1300[/tex]

Therefore, the total cost of ordereing 150 mugs is $1300

Factors of the given expression by splitting middle term of expression[tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].

Given expression is

[tex]9x^2+42x+49[/tex]

A factor is a number that divides another number leaving no remainder

After we split 42x into 21x each,

The expression looks like,

[tex]9x^2+21x+21x+49[/tex]

[tex]3x(3x+7)+7(3x+7)\\[/tex]

Taking 3x+7 as common

[tex](3x+7) (3x+7)[/tex]

So factors will be (3x+7) and (3x+7).

Therefore,

Factors of the given expression [tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].

to get more about factors refer to:

https://brainly.com/question/25829061

Answer:

6cm+6cm=12

8+8=16

Step-by-step explanation:

a cone is shorter /smaller then a cylinder .

a cone =6cm

a cylinder =12cm

Answer:

[tex]answer \\ yx)x \frac{( \frac{x - }{?} \times \frac{?}{?} }{?} \times \frac{?}{?} [/tex]

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs

Answer:

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1875}{125}\:\mathrm{is}\:15[/tex]

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 125\overline{|\smallspace1875}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace1\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\\ 125\overline{|\smallspace1875}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace1\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

=[tex]15[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1875}{125}\:\mathrm{is}\:15[/tex]

Answer:

11 meters

Step-by-step explanation:

Use the formula:

[tex]V = \pi r^{2} h[/tex]

V = 7599, h = 20, π = 3.14

Plugin the numbers and solve for r

[tex]7599=3.14(20)r^{2} \\7599=62.8r^{2} \\7599/62.5=62.8r^{2} /62.8\\121=r^{2} \\\sqrt{121}=\sqrt{r^{2} } \\r=11[/tex]

Answer: 645

Step-by-step explanation: 645 rounded to the nearest 10 is 650. Anything below 645 doesn't round to 650. With the five in the ones place, 645 is the smallest possible number that can be rounded to 650.

Answer:

D is not a function since there are 2 inputs or x value that are the same

Step-by-step explanation:

Answer:

X = S-R

Step-by-step explanation:

I don't really know what it means, maybe what makes sense is X = S-R?

Answer:

X = S-R

Step-by-step explanation:

We need to change the equation so that it shows X = .....

Thus, we move R to the opposite side of the equation, and we get...

X = S-R

(Since Positive R becomes negative after swapping sides)

Answer:

8:48

Step-by-step explanation:

Start with 6. You add 2 hours. Your hour is 8.

You have 30 minutes. Add 18 minutes. You have 30 plus 18 which equals 48. You put the hour which is 8 and the minutes which is 48.

Answer:

A) This line is a negative slope.

Step-by-step explanation:

It is a negative slope because the y value goes down as the x value increases.

Have a great day!

Please mark brainliest and rate!

Answer:

D

Step-by-step explanation:

The one that goes through (-2,0), (-1,-1) and (0,0)

Answer:

[tex]\dfrac{7}{12}[/tex]

Step-by-step explanation:

Method 1

convert the fractions so that their denominators are 12:

[tex]\dfrac12=\dfrac{1 \times 6}{2 \times 6}=\dfrac{6}{12}[/tex]

[tex]\dfrac23=\dfrac{2\times4}{3\times4}=\dfrac{8}{12}[/tex]

From inspection, we can determine that the fraction that lies exactly halfway between [tex]\dfrac{6}{12}[/tex] and [tex]\dfrac{8}{12}[/tex] is [tex]\dfrac{7}{12}[/tex]

Method 2

Find the difference between the fractions and divide by 2:

[tex]\dfrac{\dfrac23-\dfrac12}{2}=\dfrac{1}{12}[/tex]

Add this to the smallest fraction (1/2):

[tex]\dfrac12+\dfrac{1}{12}=\dfrac{7}{12}[/tex]

Answer:

B. 54 square inches

Step-by-step explanation:

Surface Area

= 2(lb + bh + lh)

= 2(6 x 3 + 3 x 1 + 6 x 1)

= 2(18 + 3 + 6)

= 2(27)

= 54 square inches

The correct option is (B).

Answer:

Easy The easiest way Is to Find out what 36X3 is off the top of my head it is 108. Finally Break apart 108 into 100 and 8. since the fraction is 108;4 you need to find out how many times 4 goes into 100. which is easy 25. now what is 8 /4 answer is 2, Ad them together to get the answer is 27. This is probably the easiest method if it ends in a whole number

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

First split the equation.

=> 36 x 3/4

=> 36 x 1/4 x 3

We know 36/4 = 9

=> 9 x 3

=> 27

Answer:

the length of the radius is 0.914422

Step-by-step explanation:

Answer:

[tex]sin(G)=0.91[/tex]

Step-by-step explanation:

Recall that [tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex] with respect to the angle [tex]\theta[/tex] for a right triangle. Since we are given our hypotenuse of [tex]\sqrt{85}[/tex] and our adjacent side of [tex]\sqrt{15}[/tex], we can use the Pythagorean Theorem to solve for the missing opposite side:

[tex]a^2+b^2=c^2\\\\(opposite)^2+(adjacent)^2=(hypotenuse)^2\\\\(opposite)^2+(\sqrt{15})^2=(\sqrt{85})^2\\\\(opposite)^2+15=85\\\\(opposite)^2=70\\\\opposite=\sqrt{70}[/tex]

Thus, [tex]sin(G)=\frac{\sqrt{70}}{\sqrt{85}}\approx0.91[/tex]

7+3= 10

Let's take 1,400 is to be seperated between A and B

Amount of money A will get = 1400* 7/10= 980

Amount of money B will get = 1400* 3/10= 420

Checking the answer:

980+420 = 1,400

Hence, 1,400 will be shared by ratio 7:3 is 980 and 420.

Correct me, if I am wrong :)

Have a great day!

Thanks!