Ineed answers for this math review

The values of x given the following expression are ∛243/7 and 7^1/4

Given the following expression

7x³ =243
x³ = 243/7

x = ∛243/7

For the expression

5x⁴ + 7 = 42
5x⁴  = 42 - 7

5x⁴ = 35

x⁴ = 7

x = 7^1/4

Hence the values of x given the following expression are ∛243/7 and 7^1/4

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Answer:

60 ft³

Step-by-step explanation:

Concepts

The volume of any prism is represented as Bh, where B = Area of the Base and h = height of the prism.

Application

In this case, we're given the area of the base as five feet² and the height as 12 feet. Now, we just multiply these two numbers to get the volume.

Solution

Answer:

discrete?

according to probability of basic things we know that there are more people different than same so there is more than enough probability of those sizes being discrete.

The option that best describes independent events is the results of all previous events do not affect the probability of future events.

Independents events are events whose occurrence do not depend on each other. They are random events.

For example, there is no relationship between the the colour of shoes you wear and the chances that it would rain. Thus, they are independent events.

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Answer:

D ✔️

Step-by-step explanation:

"The results of all previous events do not affect the probability of future events."

The y-intercept of the line 15 - 3y = x is ( 0 , 5 )

Sure hope this helps you

Answer:

1/2¹⁵ or 2⁻¹⁵

Step-by-step explanation:

2³ / (2⁶)³
2³ / 2¹⁸ (The exponents multiply in such cases)
1 / 2⁽¹⁸⁻³⁾
1/2¹⁵ or 2⁻¹⁵

The number of stray cats in the town in t=0 years will be 243.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is:-

[tex]f(t) = 243(\dfrac{1}{3})^t[/tex]

f(t) is representing the number of the stray cats in t years so in t=0 years the number of the cats will be:-

[tex]f(t) = 243(\dfrac{1}{3})^0= 243[/tex]

f(t) = 243 cats

It states that initially at t=0 years there were 243 cats in the town.

Therefore the number of stray cats in the town in t=0 years will be 243.

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Step-by-step explanation:

the last option is your answer

Answer:

B) D) E)

Step-by-step explanation:

Basically, the more days missed, the lower their grades are, so it is a negative linear relationship that has no clusters or outliers.

Multiplication is the process of multiplying. The amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given a medicine provides 3.6 milligrams of medicine. Therefore, the amount of medicine the dog will have in a week is,

The amount of medicine = 3.6milligrams × 7 = 25.2 milligrams

Hence, the amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.

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Answer:

D. 57

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

( x-7)^2+(y-6)^2 = 25

Step-by-step explanation:

The equation of a circle is given by

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

where ( h,k) is the center and r is the radius

( x-7)^2+(y-6)^2 = 5^2

( x-7)^2+(y-6)^2 = 25

Answer:

(x-7)^2+(y-6)^2=25

Explanation:

If I were you, I would mark 7 as x and 6 as y. Whatever is in your parenthesis for center of the circle, do the opposite in your equation. Since you have positive 7 & positive 6, turn those into negative numbers for your equation. And for the radius, just times it two times. So 5•5=25

The trigonometric expression sin 30° will be equal to cos 60°. Then the correct option is E.

We can use the fact that:

sin(θ) = cos(90 - θ)

To convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).

The trigonometric expression sin 30° will be equal to

The sin 30° can be written as

sin 30° = cos(90° - 30)

sin 30° = cos 60°

Then the correct option is E.

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Considering the given table, it is found that he recorded 35 observations, hence option B is correct.

We have to look at the number of rows and columns the table. The table has 7 rows, each with 5 columns, hence the number of observations is given by:

N = 7 x 5 = 35.

Hence option B is correct.

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Check the picture below.

[tex](s)(s)=144\implies s^2=144\implies s=\sqrt{144}\implies s=12 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the cube}}{(s)(s)(s)\implies s^3}\implies 12^3\implies 1728~in^3[/tex]

Answer:

1728 in³

Step-by-step explanation:

Given that,

→ Area = 144 sq in

Then the length will be,

→ a² = 144

→ a = √144

→ [ a = 12 ]

Formula we use,

→ V = a³

Now required volume will be,

→ a³ = 12³

→ 12 × 12 × 12

→ 1728 in³

Hence, the volume is 1728 in³.

Answer:

6 years ago

Step-by-step explanation:

[tex]6(14-x)=54-x\\84-6x=54-x\\30-6x=-x\\30=5x\\6=x[/tex]

So, Pete's grandfather was 6 times as old as Pete 6 years ago. This means that when Pete was 8 years old, his grandfather was 48 years old.

The equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]

The foci are given as:

(1, 7) and (1, -13)

The foci of a hyperbola are represented using: (m, n+p) and (m, n-p)

Where the center of the hyperbola is (n,p)

By comparison, we have:

m = 1

n + p = 7

n - p =13

Where n = ae

The solution to the above system of equations is

m = 1, n = 10 and p = -3

The directrix is given as:

y = 64/10

The directrix is represented as:

y = a/e

So, we have:

a/e = 64/10

Substitute n = ae in n = 10

ae = 10

Solving ae = 10 and a/e = 64/10, we have:

a = 8 and e = 10/8

To calculate b, we make use of:

[tex]b = a\sqrt{(e^2 - 1)[/tex]

So, we have:

[tex]b = 8\sqrt{(\frac{10}{8}^2 - 1)[/tex]

Evaluate

b = 8 * 0.75

b = 6

The equation of the hyperbola is then calculated using:

[tex]\frac{(y - p)^2}{a^2} -\frac{(x - m)^2}{b^2} = 1[/tex]

This gives

[tex]\frac{(y + 3)^2}{8^2} -\frac{(x - 1)^2}{6^2} = 1[/tex]

Evaluate

[tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]

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Answer:

||−14+(−5)||

Step-by-step explanation:

Answer:

it should take the workers 18 days to finish

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

40 plus 2 is 42

42 divided by 3 is 14

Reason:

If you were to draw a line through the points mentioned in choice A, the line wouldn't be close to the points since (4,15) isn't close to the points. The same goes for (10,7). So we can rule out choice A. Choices B and C are similar stories.

Choice D on the other hand has its line fairly close to all of the points.

Last option

(0,13)

(10,0)

So

both will contain most no of plots so Option D is correct

Answer:

area=112

perimeter=56

Answer:

We are given a length of 9 cm and a width of 4 cm and we are also told that it our shape is a rectangle.  This means that we are able to use the rectangle formula which is [tex]A=l*w[/tex].

Therefore, we can just multiply 9 cm by 4 cm and we get [tex]A = 36\ cm^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer: 104 degrees

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

2/3 of $21 = $14

1/4 of $14 = $3.50

$14 - $3.5 = $10.50