What shape is the Base of this Prism?

Answer:

299.64 ft

Step-by-step explanation:

The diagrammatic representation of the problem has been attached below :

Applying trigonometry :

We use the relation :

Tanθ = opposite / Adjacent

Tan 30 = 173 / d

0.5773502 = 173 / d

0.5773502d = 173

d = 173 / 0.5773502

d = 299.64 ft

Answer:

(x+1)(x+3)(x+5)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The mean of a standard normal distribution is always = 0 with the standard deviation being equal to. Therefore a standard normal distribution is a normal distribution described with a mean of 0 and standard deviation of 1. Since a standard normal distribution is centered at the middle with equal distribution to both the left and right of the distribution. The centre point is 0, which is the mean and the standard deviation is 1 to either side of the distribution.

Answer:

The half-life for the zombie population is of 8 years.

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]N(t) = N(0)(1-r)^t[/tex]

In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.

In this question:

[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]

Thus N(0) = 300, that is, initial population of 300.

What is the half-life for the zombie population?

This is t for which N(t) = 0.5*300 = 150. So

[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]

[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]

[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]

[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]

[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]

Equal exponents, so:

[tex]\frac{t}{8} = 1[/tex]

[tex]t = 8[/tex]

The half-life for the zombie population is of 8 years.

Answer:

Wat does that mean?

Step-by-step explanation:

Answer:

is that 3x or mutiply sign

Answer:

3x^2-4x+1

Step-by-step explanation:

Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴

Given tha expression :

Number of 5's = 4

The number of 5's can be used as the power of the base, since the base is common.

Base = 5

Hence,

5 × 5 × 5 × 5 = 5⁴

Learn more : https://brainly.com/question/25629067

Answer:

Probability will be 4 by 6

Given:

The function is:

[tex]y=\sec^{-1}(x)[/tex]

To find:

The range of the given function.

Solution:

We have,

[tex]y=\sec^{-1}(x)[/tex]

The range of secant inverse function is:

[tex]Range=\{y|0\leq y\leq \pi , y\neq \dfrac{\pi}{2}\}[/tex]

The range of the given function in interval notation is:

[tex]Range=\left[0,\dfrac{\pi}{2}\right)\text{ and }\left( \dfrac{\pi}{2}, \pi\right ][/tex]

Therefore, the correct option is C.

Answer:

0.05 metre

5×10^5 kilometer

1.9685

Answer:The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 6 feet, what is the rate of change of the radius? Round your answer Io three decimal places. 37.699 ft/min 3.701 ft/min 7.401 ft/min 2.79 ft/min

Step-by-step explanation:

Answer:

450 foe

Step-by-step explanation:

Answer:

The answer is "[tex]0.45 \pm 0.18204[/tex]"

Step-by-step explanation:

For the +4 sample proportion[tex]= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45[/tex]

Sample percentage measurements estimated stdev

[tex]= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111[/tex]

Calculating the critical z for a=0.1, two-tailed = 1.64

Calculating the confidence interval:

[tex]= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204[/tex]

Answer:

p = 4

Step-by-step explanation:

Given the expression x ^ 2-px + 3 = 0

If x = 0 is a solution

Substitute into the expression

0² - 0p + 3  = 0

-0p = -3

p = 3/0

p cannot be determined for this root

If x = 1

1² - 1p + 3 =0

1 - p + 3 = 0

-p+4 = 0

-p = -4

p = 4

Hence the va;ue of p is 4

Answer:

t = √ab²/fx

Step-by-step explanation:

fx= ab*2÷t*2, make t the subject of the formulae

​Given the function

fx = ab²/t²

We are to make t the subject of the formula

fxt² = ab²

t² = ab²/fx

Take the square root of both sides

√t² = √ab²/fx

t = √ab²/fx

Hence the required value of t is √ab²/fx

Answer:

[tex] \frac{1}{288} [/tex]

Step-by-step explanation:

the 1 will always stay the same because all of them are 1's

4×6=24

24×12=288

Answer:

garage bozo

Step-by-step explanation:

Answer:

(9)(x)(y) or 9(x + y)

Step-by-step explanation:

Answer:

x = 11.85

Step-by-step explanation:

[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]

Answer:

[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

a = 12 and b = 18

Step-by-step explanation:

Given that,

8,a,b,27 are in geometric sequence.

For a GP, the nth term is given by :

[tex]a_n=ar^{n-1}[/tex]

Put n = 4

[tex]a_4=ar^{4-1}\\\\a_4=ar^3\\\\27=8\times r^3\\\\r^3=\dfrac{27}{8}\\\\r=\dfrac{3}{2}=1.5[/tex]

Put n = 2,

[tex]a_2=ar^{2-1}\\\\a=ar\\\\a=8\times 1.5\\\\a=12[/tex]

Put n = 3

[tex]a_3=ar^2\\\\=8\times 1.5^2\\\\b =18[/tex]

So, the values of a and b is 12 and 18 respectively.

Answer:

Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Step-by-step explanation:

Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:

Pears: X

Blueberries: 3X

Strawberries: 3X - 2.5

X + 3X + 3X - 2.5 = 13.25

7X = 13.25 + 2.5

X = 15.75 / 7

X = 2.25

Pears: 2.25

Blueberries: 3 x 2.25 = 6.75

Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25

2.25 + 6.75 + 4.25 = 13.25

Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Answer:

it's C. 2 and 5...

Step-by-step explanation:

If the denominator of rational number contains no prime factors other then 2 or 5 or both, then this rational number can be expressed as terminating decimal. So the correct answer is option is C

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that [tex]n = 20, s = 31.61[/tex]

What is the margin of error for this estimate?

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]

[tex]M = 14.79[/tex]

The margin of error for this estimate is of 14.79 yards per game.

Answer:

300litres

Step-by-step explanation:

capacity of water tank=1000litres

7/10 parts of tank is emptied,

so, to know the litres of water left in the tank has to be equal to 1000litres-emptied tank

let X to represent water left in the tank

X=1000litres-(7/10*1000litres)

X=1000litres-700litres

X=300litres

hence, litres of water left in the tank =300litres

since, full tank is 10/10 and you know the emptied tank has 7/10. meaning the remaining part of water is

10/10-7/10

3/10 of the tank with water

therefore, 3/10*1000litres

300litres.

Answer:

The possible values of X are 0,1 or 2.

Step-by-step explanation:

In this question:

Two number cubes are going to be rolled.

X is the number of odd numbers that show up on the two cubes.

For each cube, there is one number, which can be even, or odd.

Thus, there can be no odd numbers, one odd number or two odd numbers, and the possible values of X are 0,1 or 2.

Answer:

D.

Step-by-step explanation:

7

PAYMENT

1234567

THERE ARE 7 ELEMENTS

Answer:

x=27

Step-by-step explanation:

1. x-2=25 so add 2 to both sides x=25+2

2. 25+2= 27 so, the answer is x=27 Can you make me Brainliest

Answer:

153.86.

Step-by-step explanation:

Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.