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Answer:

2.828 (the square root of 8)

Step-by-step explanation:

2.828 squared is 8, which is also the square root of 64

The value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

_² = √64

Let the missing number be x:

Then, the equation becomes:

x² = √64

√64 = √(8x8) = 8

x² = 8

The above equation represents a quadratic equation, Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

x = ±√8

x = ±2√2

Thus, the value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

Learn more about the expression here:

brainly.com/question/14083225

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Answer:

24

Step-by-step explanation:

The required least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

The least common denominator has a defined factor that is least common among the factors of the denominator is called the least common denominator.

Here,
Rewrite each fraction with the least common denominator (LCD) of 24 by multiplying both the numerator and denominator by the appropriate factor:

1/2 = (1/2) * (12/12) = 12/24

2/3 = (2/3) * (8/8) = 16/24

3/8 = (3/8) * (3/3) = 9/24

Check that the fractions have the same denominator:

12/24, 16/24, and 9/24

Therefore, the least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

Learn more about the least common denominator here: https://brainly.com/question/11221202
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Answer:

1000 g

Step-by-step explanation:

That is the answer

Answer:

Step-by-step explanation:

1 gram.

The correct answer is 110 cm

Explanation:

Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:

[tex]\frac{5}{7}[/tex]  -  5 is the numerator and 7 is the denominator

5/7 of 154 cm

154 cm / 7 = 22

22 x 5 = 110 cm

Answer:

no, it's not.

Step-by-step explanation:

300- 284 = 16

284 - 236 = 48

236 - 156 = 80

156 - 44 = 112

for every one the top line goes up, the bottom line changes too, but it's not at a constant rate. it's not constant, therefore it cannot be linear.

the rate of change formula (or slope formula, they're the same thing) is :

y2- y1/ x2 -x1 and to solve it you plug in the points. x is the same a t and y is h

284-300/ 1-0

-16 /1

-16 (this is the rate of change between the first two points)

236- 284/ 2-1

-48/ 1

-48 (rate of change between the second and third points)

since the rate of change isn't constant, it's not possible for it to be a linear relationship.

Answer:

I  D  K

Step-by-step explanation:

my brains not working right now

Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

The basement floor is at  an elevation of −10.5 feet

The second story floor has an  elevation of 121 feet.

We need to find the distance between the basement floor and the second story floor.

Distance = -10.5 + 121

= 110.5 feet

So, the distance between the basement floor and the second story floor is 110.5 cm.

Answer:

1. angle Y, angle XYZ, and angle ZYX

2. angle PQR, angle SQR, and angle PQS

Step-by-step explanation:

1. The 3 ways to name the given angle are:

✔️The use of an alphabet of the vertex: angle Y

✔️The use of the three alphabets can be named in two ways with the middle alphabet representing the vertex:

angle XYZ

angle ZYX

2. The three different angle in the diagram consist of two adjacent angles that share the same side: angle PQR and angle SQR,

and the bigger angle that sums up the two internal angles, which is angle PQS

Answer:

5.5 feet per second or 330 feet per minute

Step-by-step explanation:

550/100 seconds = 5.5 feet per second  

5.5 x 60 = 330 feet per minute

Answer:

3.75 mph (miles per hour)

(i finally got the right answer, ignore my comment, i am so sorry it was wrong T_T)

Answer: 8:15Am

Step-by-step explanation:

It's Letter C. 1 3 and 5

that's the domain

Answer:

100

Step-by-step explanation:

Answer:

n [tex]\geq[/tex] -28

Step-by-step explanation:

Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.

Answer:

i think ac=10.4

Step-by-step explanation:

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

Answer:

$ 7.26

Step-by-step explanation:

You're welcome :)

Answer:

its 10

Step-by-step explanation:

its 10 because when u see its written as

10ab, 30bc, 50ca

u see that

10(ab 3bc 5ca) will be the answer as when u take common in these u can see that none of the variables match each other i mean there is no common variable so the common factor would be 10 u can write ur full answer statement as given below:-

10(ab 3bc 5ca).

here is ur answer please do thanks me for that and mark it as brainliest answer

Step-by-step explanation:

I tried. if I got this wrong I might need to go back to kindergarten

================================================

Explanation:

We'll use these two rules

This only applies to triangles.

EF is the smallest side because the angle G is the smallest angle.

FG is the longest side because it is opposite the largest angle E

That places EG in the middle.

The order of the sides from smallest to largest is EF, EG, FG

Answer:

the area of the curve y= f(x) = x between x = 5 and x = 10

[tex]A=\frac{75}{2}[/tex]

Step-by-step explanation:

Using the Area formula

[tex]A=\int _a^b\:f\left(x\right)dx[/tex]

As the area of curve lies between x = 5 and x = 10

so

so the integral expression becomes

[tex]A=\int _5^{10}xdx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

[tex]A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5[/tex]

    [tex]=\left[\frac{x^2}{2}\right]^{10}_5[/tex]

     [tex]=\frac{1}{2}\left[10^2-5^2\right][/tex]

     [tex]=\frac{1}{2}\cdot \:75[/tex]

     [tex]=\frac{75}{2}[/tex]

Therefore, area of the curve y= f(x) = x between x = 5 and x = 10

[tex]A=\frac{75}{2}[/tex]

Answer:0.3

Step-by-step explanation:

3.60/12=0.3

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

[tex]y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}[/tex]

Thus, the area of the surface is as follows:

[tex]\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA[/tex]

[tex]= \iint_D \sqrt{x^2 +y^2 +1 } \ dA[/tex]

[tex]= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta[/tex]

[tex]=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr[/tex]

[tex]= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0[/tex]

[tex]= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg][/tex]

[tex]= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ][/tex]

Answer:

P-value is a parameter to compare with the significance level in order to make decisions about rejecting or not the hypothesis

Step-by-step explanation:

When you are developing a hypothesis test, in order to compare two means  (  μ₁   and  μ₂ )  you have two hypothesis

Null Hypothesis                       H₀            μ₁   =      μ₂

And depending on the problem statement, the alternative  hypothesis could be

Alternative Hypothesis           Hₐ     (1)         μ₁    >     μ₂  

                                                            (2)        μ₁     <    μ₂

                                                             (3)       μ₁     ≠      μ₂

Now if the result of the test determines that H₀ is rejected  you accept in case

(1)   μ₁    >     μ₂

(2)  μ₁    >     μ₂  

(3)  μ₁     ≠      μ₂

In any case, you need a confidence Interval, and as consequence you established a significance level to do your test. These two concept defines the acceptance and the rejection region. Just for instance

CI  =  90% means that the acceptance region is 90 %, and at the same time, the rejection area is 10 %. That 10 % will be used as follows,

Case 1 you are developing a one tail-test to the left ( side of the curve )

Case 2 you are developing  a one tail-test to the right

Case 3 you are developing a two-tail test ( in that case you need to split α into two equal areas one for each tail.

Now P-value is a tool for decision is an area that you can compare with α to accept or reject H₀.

In our particular case suppose we are testing

H₀     μ₁   =      μ₂

Hₐ      μ₁     <    μ₂

Let´s say CI = 95    then  α = 5 %     α = 0,05

And we get  P-value  =  0,16

Then area   0,16 > 0,05   Then we are in the acceptance region

(that condition really implies that z(s) < z(c)  

Given:

[tex]y=\log_{\sqrt{x}}x[/tex]

To find:

The value of [tex]\dfrac{dy}{dx}[/tex].

Solution:

We have,

[tex]y=\log_{\sqrt{x}}x[/tex]

It can be written as

[tex]y=\log_{\sqrt{x}}(\sqrt{x})^2[/tex]

Using property of log, we get

[tex]y=2[/tex]          [tex][\because \log_aa^x=x][/tex]

Now, differentiate both sides with respect to x.

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}(2)[/tex]

[tex]\dfrac{dy}{dx}=0[/tex]          [tex][\because \dfrac{d}{dx}(Constant)=0][/tex]

Therefore, the value of [tex]\dfrac{dy}{dx}[/tex] is 0.

Answer:

We conclude that after 6 drops how much liquid the scientist has added 0.84 mL.

Step-by-step explanation:

Given that the scientist adds drops of liquid to a test tube.

In order to determine the amount of liquid after 6 drops, all we need is to multiply 0.14 mL by 6.

i.e.

The amount of liquid in 6 drops = 0.14 × 6

                                                     = 0.84 mL

Therefore, we conclude that after 6 drops how much liquid the scientist has added 0.84 mL.

Answer:

the largest divisor is less than the square root of that number

Step-by-step explanation:

Pick any number between 900 and 950 . For example I choose 937 . Now taking the square root of 937 would give 30.61

So divide 937 with all the primes less  than 30.61

937/2, 937/3, 937/5,...................937/29

29 would be the largest divisor which is less than the square root of 937 .

29< 30.61

But if you check 937 does not divide wholly with any of the primes hence it is a prime number itself.

If any number such 925 is chosen and it gets divided wholly by another prime like 5

925 /5= 185  so it is not a prime number