Identify the perfect cube.

100
1000
10000
100000​

The easiest way to calculate square root is from a calculator. That's what i typically do.

So, lets solve this.

\(\sqrt{927369} =963\)

Hope this helps!

i wanna answer 1st question.I hope it will be helpful

so what you can do is to do substract of circumference of circle by the rectangle

and you will area value of circle

Answer:

d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Then, the null and alternative hypothesis are:

\(H_0: \pi=0.62\\\\H_a:\pi<0.62\)

The significance level is 0.05.

The sample has a size n=196.

The sample proportion is p=0.57.

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.62*0.38}{196}}\\\\\\ \sigma_p=\sqrt{0.001202}=0.035\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.57-0.62+0.5/196}{0.035}=\dfrac{-0.047}{0.035}=-1.369\)

This test is a left-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=P(z<-1.369)=0.0855\)

As the P-value (0.0855) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Answer:

12x+4

Step-by-step explanation:

M A T H W A Y

Answer:

12x+1

Step-by-step explanation:

4(3x+1)

(4 x 3x)+1

12x+1

Answer:  

Identifying Symmetry in Equations Graphs of Equations on a coordinate plane can have symmetry with respect to the X-Axis, Y-Axis, and/or the Origin. Some equations have no symmetry, and some equations have multiple types of symmetry. Each type of symmetry can be determined individually using either graphical or algebraic test methods.

Step-by-step explanation: Hope this helped !

Answer: 1000000

Step-by-step explanation:

Answer:

answer 1000000

have a nice day

Answer:

The binary equivalent of the decimal number 38.37510 is 100110.0112. Therefore, the correct option is: 100110.011

Step-by-step explanation:

To convert the decimal number 38.375 to binary, we can convert the integer part (38) and the fractional part (0.375) separately and combine them.

For the integer part:

38 divided by 2 gives a quotient of 19 with a remainder of 0.

19 divided by 2 gives a quotient of 9 with a remainder of 1.

9 divided by 2 gives a quotient of 4 with a remainder of 1.

4 divided by 2 gives a quotient of 2 with a remainder of 0.

2 divided by 2 gives a quotient of 1 with a remainder of 0.

1 divided by 2 gives a quotient of 0 with a remainder of 1.

Reading the remainders from bottom to top gives the binary equivalent of the integer part: 1001102.

For the fractional part:

0.375 multiplied by 2 gives a product of 0.75, and the whole number part is 0.

0.75 multiplied by 2 gives a product of 1.5, and the whole number part is 1.

0.5 multiplied by 2 gives a product of 1, and the whole number part is 1.

Continuing this process until we get a fraction of 0 or reach the desired precision gives the binary equivalent of the fractional part: 0.0112.

Combining the two parts, we get the binary equivalent of the decimal number 38.37510: 100110.0112.

The reason is that to convert a decimal number to binary, we need to represent both the integer part and fractional part in binary separately, and then concatenate them to get the final binary representation.

So, to convert the decimal number 38.37510 to binary, we first convert the integer part, which is 38, to binary using the division-by-2 method as explained in the previous answer. This gives us 100110 in binary.

Next, we convert the fractional part, which is 0.375, to binary using the multiplication-by-2 method as explained in the previous answer. This gives us 0.011 in binary.

We then concatenate the two binary values to get the final binary representation of 38.37510, which is 100110.0112.

Therefore, the correct option is 100110.011.

Answer:

  x = 4

Step-by-step explanation:

To undo a cube, take the cube root.

  x³ = 64

  ∛(x³) = ∛64

  x = 4

_____

Additional comment

An exponent signifies the number of times the base appears in the product.

  x³ = x·x·x . . . . . x is a factor 3 times in the product.

It can be helpful to memorize the cubes of small integers:

  1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125; 6³ = 216; 7³ = 343; 8³ = 512;

  9³ = 729; 10³ = 1000

Answer: 5

Step-by-step explanation: because -3+5=2 and -9+5= -4.

And please brainliest if this helped you! And tell me if I am wrong! :D

Bye now! :D

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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Answer:

x=100

Step-by-step explanation:

x+23+57=180

x+80=180

x=100

Answer:

  B.  y = x +3

Step-by-step explanation:

The fastest way to find this answer is to substitute offered values of x and y into the given equations to see if they are true.

Using the first line in the table, (x, y) = (2, 5), we have ...

  A  5 = 2(2) . . . . false

  B  5 = 2 +3 . . . . true

  C  5 = 3(2) . . . . false

  D  5 = 2 +1 . . . . false

__

Additional comment

Checking answer choices against the problem statement is one of many possible strategies for answering multiple-choice questions.

Answer:

a_n = 47 - 8n

Step-by-step explanation:

a_1 = 39

a_2 = 31

a_3 = 23

31 - 39 = -8

23 - 31 = -8

This is an arithmetic sequence with constant difference -8.

a_1 = 39

a_2 = 39 - 8

a_3 = 39 - 8 - 8 = 39 - 2(8)

a_4 = 39 - 8 - 8 - 8 = 39 - 3(8)

...

a_n = 39 - (n - 1)(8)

a_n = 39 - 8(n - 1)

a_n = 39 - 8n + 8

a_n = 47 - 8n

Answer:

\(a_n=47-8n\)

Step-by-step explanation:

Given sequence:

Calculate the differences between the terms:

\(39 \underset{-8}{\longrightarrow} 31 \underset{-8}{\longrightarrow} 23\)

As the differences are constant (the same), this is an arithmetic sequence with:

\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\end{minipage}}\)

Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:

\(\implies a_n=39+(n-1)(-8)\)

\(\implies a_n=39-8n+8\)

\(\implies a_n=47-8n\)

Answer:

-6x^3y^3 - 2x^2y +8xy^3 + 4xy -5x - y - 17

Step-by-step explanation:

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

The solution to the given expression by using distributive law is 114

The distributive property posits that an expression that is provided in the form of A (B + C) can be further expressed as A × (B + C) = AB + AC. This distributive law is also useful for subtraction and is expressed as, A (B - C) = AB - AC. This implies that operand A is distributed between the other two operands.

From the given information, we are to expand 19 × 6 using the distributive law. The first step would be to expand 19 into two integers.

Let the two integers be 10 and 9.

So, we can have can express this by using the addition distributive law: A(B+ C)

Mathematically, we have:

= 6(10 + 9)

= 6(19)

= 114

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Answer:

x = 2

Step-by-step explanation:

\(y = {x}^{2} - 4x + 7 \\ y = (x - 2) {}^{2} - 4 + 7 \\ y = {(x - 2)}^{2} + 3\)

Therefore, axis of symmetry is x = 2

The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

f(x)=7−4x+x^2

Rewriting as

f(x)  = x^2 -4x+7

a =1  b -4  c=7

The axis of symmetry is:

h = -b/2a

 = -(-4)/ 2(1)

 = 4/2(1)

 = 4/2  

 =a

The axis of symmetry is x=2.

Hence, The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.

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The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer:

X = 2

Step-by-step explanation:

14= 28 + 7x

28 - 14 = 7x

14 = 7x

14 / 7

2 = x

Answer:

x  =  − 2

Step-by-step explanation:

Answer:

10000 feet = 3048 meters = 3.048 kilometers

Explanation:

Recall,

1 foot = 0.3048 meters

10000 feet = 10000 x 0.3048

10000 feet = 3048 meters

Also,

1 meter = 0.001 kilometers

3048 meters = 3048 x 0.001

= 3.048 kilometers

Answer:

Step-by-step explanation:

Help me

Answer:

y=15+x

Step-by-step explanation:

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

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Step-by-step explanation:

f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)

= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).

The roots of f(x) are x = -3, -1 and 1.

=> The new roots are x = -5, -3 and -1.

=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.

(a). The smallest quantity at which marginal cost is equal to 15 dollars per item is 2.76. (b). The positive value of q at which average variable cost is equal to marginal cost is \(\frac{15}{2}\). (c). The longest interval on which marginal revenue exceeds marginal cost is (1.8377, 8.1622). (d). The profit is increasing at 8.1622 at p(q) is maximum. (e). The maximum value of profit is 78.2455 dollars.

The total revenue: TR(q) = 30q

The total cost: Tc(q) = \(q^3-15 q^2+75 q+10$\)

The change in cost is referred to as the change in the cost of production when there is a need for change in the volume of production.

(a).  Marginal cost MC\(=\frac{\partial}{\partial q}(T C)$\)

\($$=3q^2-30 q+75 \text {. }$$\)

According to question.

\($$\begin{aligned}& 3 q^2-30 q+75=15 \\& 3 q^2-30 q+60=0 \\& q^2-10 q+20=0 \\& q= \frac{10 \pm \sqrt{100-80}}{2} \\&= \frac{10 \pm 2 \sqrt{5}}{2}=5 \pm \sqrt{5}\end{aligned}\)

\($$$\therefore \quad q=5+\sqrt{5} \quad$ and $q=5-\sqrt{5}$\)

we have to find smallest quantity.

\($$\therefore \quad q=5-\sqrt{5}=2.76 \text {. }$$\)

b)

\($$\begin{aligned}& F C=T C(0)=10 \\& V C(q)=T C(q)-F C \\& =q^3-15 q^2+75 q . \\& \text { AVC(q) }=\frac{V C(q)}{q}=q^2-15 q+75 .\end{aligned}$$\)

When AVC(q)=MC(q)

\($$\begin{array}{ll}\Rightarrow & q^2-15 q+7 ;=3 q^2-30 q+75 \\\Rightarrow & 2 q^2-15 q=0 .\ \Rightarrow q(2 q-15)=0 . \\\Rightarrow & q=0, \frac{15}{2} \quad \Rightarrow \quad q=\frac{15}{2}\end{array}$$\)

Therefore, the positive value of q at which average variable cost is equal to marginal cost is \(\frac{15}{2}\).

(c).

\(& M R(q)=\frac{d}{d q}(T R)=30 . \\\)

\(& M C(q)=3 q^2-30 q+75 . \\\)

Let MR(a)>MC(q)

\(& \Rightarrow \quad 30 > 3 q^2-30 q+75 \text {. } \\\)

\(& \Rightarrow \quad 3 q^2-3 p q+45 < 0 \\\)

\(& \Rightarrow \quad q^2-10 q+15 < 0 \text {. } \\\)

\(& \because \quad q=\frac{10 \pm \sqrt{100-60}}{2} \Rightarrow q=\frac{10 \pm 2 \sqrt{10}}{2} \\\)

\(& q=(5 \pm \sqrt{10}) \\\)

\(& \Rightarrow \quad(q-5+\sqrt{10})(q-5-\sqrt{10}) < 0 . \\\)

\(& \Rightarrow \(q-5+\sqrt{10}) < 0 \quad \& \quad(q-5-\sqrt{10}) > 0 \text {. } \\\)

\(& \text { or } \quad(q-5+\sqrt{10}) > 0 \quad \& \quad(q-5-\sqrt{10}) < 0 \text {. } \\\)

\(& \therefore \quad \text { other } q < 5-\sqrt{10}=1.8377 ., q > 5+\sqrt{10}=8.1622 \text {. } \\\)

\(& \Rightarrow \quad q < 1.8377 \& q > 0.1622 \text {. } \\\)

\(& \text { or } q > 5-\sqrt{10} \quad \& \quad q < 5+\sqrt{10} \text {. } \\\)

\(& \Rightarrow q > 1.8377 \quad < q < 8.1622 \text {. } \\\)

The Interval is (1.8377, 8.1622).

(d).  P(q) =TR(q)-TC(q)

\(& =30 q-\left(q^3-15 q^2+75 q+10\right) \\& =-q^3+15 q^2-75 q-10+30 q \\& =-q^3+15 q^2-45 q-10 .\)

on (1.8377,8.1622). we have to find a point such that p"(q)=0 and p"(q)<0.

\(& p^{\prime}(q)=-3 q^2+30 q-45 \\\)

\(& \Rightarrow \quad-3\left(q^2-10 q+15\right)=0 \\\)

\(& \Rightarrow \quad q^2-10 q+15=0 . \\\)

\(& \quad q=1.8377 \text { and } \quad q=8.1622 . \\\)

\(& \Rightarrow \quad p^{\prime \prime}(q)=-6 q+30 . \\\)

\(& p^{\prime \prime}(1.8377)=-6(1.8377)+30 \\\)

\(&=18.9738 \\\)

\(& p^{\prime \prime}(8.1622)=-6(8.1622)+30 . &=-18.9732 < 0 .\)

at 8.1622, p(q) is maximum.

(e).

Max profit-P(8.1622)

=78.2455 dollars

Therefore, the maximum value of profit is 78.2455 dollars.

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Answer:

56/100=0.56

Step-by-step explanation:

Total box=100

shaded=56

Answer:

The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Step-by-step explanation:

Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:

517,517 = 100

211,211 = X

211,211 x 100 / 517,517 = X

21,121,100 / 517,517 = X

40.81 = X

Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Answer:

135in^3

Step-by-step explanation: