helppppppppppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answer:

t = 10

Step-by-step explanation:

z^t ⋅ z^5 = z^15

We know that a^b*a^c = a^(b+c)

z^(t+5) = z^15

Since the bases are the same, the exponents are the same

t+5 = 15

t = 15-5

t = 10

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]f(x) = x^2 - 4x[/tex]

And we want to find:

[tex]\displaystyle f(2b^2)[/tex]

Substitute:

[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]

In conclusion, our answer is A.

Step-by-step explanation:

maybe I am wrong sorry for that but try to understand it

have a great day

Answer:

D 37.64

Step-by-step explanation:

C=2πr

so 2✘3.14 ✘6

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                            = 59 miles per hour

The Cheetah is faster than the American Antelope

Answer:

The answer is C

Step-by-step explanation:

since the left side reads k times a, the only way to get a by itself is by dividing both sides by k

Answer:

{ - 3, 0 ]

Step-by-step explanation:

parenthesis ( ) is used when the interval does not include the end values

brackets [ ] are used when the interval includes the end values

The end values here are - 3 and 0 so brackets are used, that is

[ - 3, 0 ]

Here we go !!

Since it's a regular pentagon, all it's sides are equal so let's solve for x

[tex] \hookrightarrow \: 3(x - 1) = 5x - 6[/tex]

[tex] \hookrightarrow \: 3x - 3 = 5x - 6[/tex]

[tex] \hookrightarrow \: 3x - 5x = - 6 + 3[/tex]

[tex] \hookrightarrow \: - 2x = - 3[/tex]

[tex] \hookrightarrow \: x = \dfrac{ - 3}{ - 2} [/tex]

[tex] \boxed{\boxed{x = \dfrac{3}{2} }}[/tex]

now let's find the measure of each side, i.e

[tex] \hookrightarrow \: 5x - 6[/tex]

[tex] \hookrightarrow \: (5 \times \dfrac{3}{2}) - 6[/tex]

[tex] \hookrightarrow \: \dfrac{15}{2} - 6[/tex]

[tex] \hookrightarrow \: 7.5 - 6[/tex]

[tex] \mathrm{\hookrightarrow \: 1.5 \: units}[/tex]

perimeter = 5 × side length ( for a regular pentagon )

[tex] \hookrightarrow \: 1.5 \times 5[/tex]

[tex] \boxed{ \boxed{ \: \: \: \: \: \: \: \: 7.5 \: \: units \: \: \: \: \: \: \: }}[/tex]

Answer:

27 Days

Step-by-step explanation

The rate of her gas consumption is inverse to the time she is driving. This means that if her time spent driving is increased by 66.66% (5/3 of the original rate), then it would inverse to create her decreased gas consumption by 3/5.

3/5 of 45 = 27

27 days

hope this helps :)

Answer:

[tex]13\leq x<4[/tex]

Explanation:

If a side has a bracket [] then it is less than or equal to, meaning that it can reach that exact number.

However, if a side has a parentheses () then it is simply less than. It cannot be that exact number, but it can be even slightly less than that number.

Step-by-step explanation:

all steps are done in the picture

Answer:

65÷5(18-5)

=65÷5×13

=13×13

=169

Each term has a common factor of x + y + z, so

a (x + y + z) + b (x + y + z) + c (x + y + z) = (a + b + c) (x + y + z)

Answer:22

Step-by-step explanation:

4*(2) + (6) +12 - 2*(2)=

8 +6 +12 -4=

14 +8= 22

Answer: 22

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf SG = 31}[/tex]

Step-by-step explanation:

Given:

SW = 3x + 1

WA = 6x

AG = x + 6

SW = AG

Required:

Length of SG = ?

Solution:

Given that:

SW = AG

3x + 1 = x + 6

Combining like terms

3x - x = 6 - 1

2x = 5

x = 5/2

x = 2.5

Now,

SG = SW + WA + AG

SG = 3x + 1 + 6x + x + 6

SG = 3x + 6x + x + 1 + 6

SG = 10x + 6

Put x = 2.5

SG = 10(2.5) + 6

SG = 25 + 6

SG = 31

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The cost of the printer is x=288 and cost of computer is 3x=864

Step-by-step explanation:

Let the cost of the printer be x and cost of computer be 3x

ATQ, x+3x=1152, x=288.

The cost of the printer is x=288 and cost of computer is 3x=864

Answer:

6+10×4=40+6=46 number

Answer:

1/36

Step-by-step explanation:

6^-2

~Use negative exponent rule [ a^-b = 1/a^b ]

1/6^2

1/36

Best of Luck!

Answer:

[tex]\huge\boxed{\sf \frac{1}{36}}[/tex]

Step-by-step explanation:

[tex]\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %

Answer:

84%

Step-by-step explanation:

you cross multiply 42/50 by 2 and then u get 84/100

Answer:

(x−2)2+(y+1)2=100

Explanation:

the standard form of the equation of a circle is  

2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2  where  ( a , b )  are the coordinates of the center and r is  the radius  to find the center we require the  midpoint of the  2 given points  center  = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ]  center = ( 2 , − 1 )  the radius is the distance from the center to either of  the 2 given points  calculate the radius using the  distance formula ∙  d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2  let  ( x 1 , y 1) = ( 2 , -1 )  and  ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ←  equation of circle

I'm not sure if this is what you meant - 3.12.5.8.6.6, but I'm operating based on that

mean - 6.7

median - 6

mode - 6

range - 9

Answer:

Step-by-step explanation:

Answer:

D) 9.8

Step-by-step explanation:

The geometric mean of two numbers x and y is

[tex]\sqrt{xy}[/tex]

so [tex]\sqrt{8*12}[/tex] = [tex]\sqrt{96}[/tex] [tex]\approx 9.7979[/tex]

Which, since the 9 in the hundredths place is greater than 5, we can round up to 9.8

Answer:

(0,2)

Step-by-step explanation:

Hi there!

[tex]f(x) = 2*3^x[/tex]

The y-intercept of any function occurs when x=0.

To find the y-intercept, solve for f(0):

[tex]f(0) = 2*3^0\\f(0) = 2*1\\f(0) = 2[/tex]

Therefore, the y-intercept is 2 and occurs at (0,2).

I hope this helps!

Answer:

25958400

Step-by-step explanation:

[tex] {8}^{2} \times 6(4 + {8}^{2} \times (10 - 6) {)}^{2} [/tex]

[tex] = 64 \times 6(4 + {2}^{6} \times 4 {)}^{2} [/tex]

[tex] = 64 \times 6(4 + {2}^{6} \times {2}^{2} {)}^{2} [/tex]

[tex] = 64 \times 6(4 + {2}^{8} {)}^{2} [/tex]

[tex] = 64 \times 6(16 + 2048 + 65536)[/tex]

[tex] = 64 \times 6 \times 67600[/tex]

[tex] = 25958400[/tex]

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]