(
9
×
10
2
)
+
(
7
×
10
3
)

Give your answer in standard form.

9514 1404 393

Answer:

  True

Step-by-step explanation:

Your calculator can tell you this is true. Or, you can simplify the given expression:

  \(\left(\dfrac{32}{3125}\right)^{2/5}=\left(\dfrac{2^5}{5^5}\right)^{2/5}=\dfrac{2^2}{5^2}=\boxed{\dfrac{4}{25}}\)

__

The applicable rule of exponents is (a^b)^c = a^(bc).

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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chance  standard normal random variable is less than null hypothesis to -1.87 is known as the p-value. We determine the p-value to be 0.0307 using a typical table or calculator that is widely used.

A null hypothesis, a subtype of statistical hypothesis, asserts that a specific set of observations has no statistical meaning. Using test data, ideas are assessed for viability. occasionally known as "zero" and symbolized by H0. Researchers believe that there might be a connection between the variables. On the other side, the null hypothesis claims that such a relationship doesn't exist. Even though it might not seem essential, the null hypothesis is a crucial component of research.

H0: p  0.30 (the actual percentage is at least 30%)

Ha: The actual proportion is less than 30%, so p  0.30.

The exam statistic comes from:

z is equal to (p - p 0) / sqrt(p 0 * (1 - p 0) / n).

where n is the sample size, p0 is the percentage's null hypothesis value, and p is the sample proportion.

When we enter the numbers, we obtain:

z = (0.23 - 0.30) / sqrt(0.30 * 0.70 / 100) = -1.87

The chance that a standard normal random variable is less than or equal to -1.87 is known as the p-value. We determine the p-value to be 0.0307 using a typical table or calculator that is widely used.

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There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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Answer:

its 2/3 because if u divied the width u get that

Step-by-step explanation:

you welcome i tried

Answer:

y = 65 degrees

Step-by-step explanation:

(this is what i remember from geometry at least so let me know if i got anything wrong)

2x+25 and 3x-10 are opposites which means they are equal to each other.

2x+25 = 3x-20 get the x values on the same side by subtracting 2 from both sides

25 = x-20 to get the x value alone add 20 to both sides

45 = x

now you can plug in x to either equation to find out what their degree is

2(45)+25 = 115 degrees

and since this equation and y are on the same line you can subtract 115 from 180 (a line is equal to 180 degrees) to find y

180-115 = 65 degrees

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The value of the variables x and y are 35 and 85, respectively.

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

The angle measuring (2x+25)° and (3x-10)° are vertical angles. Therefore, we can write,

(2x + 25) = (3x - 10)

2x + 25 = 3x - 10

25 + 10 = 3x - 2x

x = 35

Also, in the given image the angle measuring (2x + 25)° and y° are supplementary angles, therefore, we can write,

(2x + 25)° + y° = 180°

2x + 25 + y = 180°

Substitute the value of x,

2(35) + 25 + y = 180

70 + 25 + y = 180

95 + y = 180

y = 85°

Hence, the value of the variables x and y are 35 and 85, respectively.

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An equation that satisfies all three pairs of a and b values listed in the table include the following: C. 3a - b = 10.

In order to determine an equation that satisfies all three pairs of a and b values listed in the table, we would substitute each of the numerical values corresponding to each variable into the given equations and then evaluate as follows;

a - 3b = 10

0 - 3(-10) = 30 (False).

3a + b = 10

3(0) - 10 = -10 (False).

3a - b = 10

3(0) - (-10)

0 + 10 = 10 (True).

3a - b = 10

3(1) - (-7)

3 + 7 = 10 (True).

3a - b = 10

3(2) - (-4)

6 + 4 = 10 (True)

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Complete Question:

Which equation satisfies all three pairs of a and b values listed in the table?

a b

0 -10

1 -7

2 -4

The equation is?

A.) a-3b=10

B.) 3a+b=10

C.) 3a-b=10

D.) a+3b=10

The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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The most likely number of minutes of usage recorded by Jason is A . approximately 50.

We can see that initially, the temperature of the electronic system began to increase as the time increased. It then began to decrease from the 20 minute and ketp decreasing till the 40th minute.

Assuming that the temperature keeps decreasing, it would mean that at 50 minutes, the temperature would be more than the temperature at 40 minutes and so would most likely be 48 degrees.

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Answer:

x > 250

Step-by-step explanation:

we are to express the statement using an inequality expression

Since my sister plans to sell more than 250 boxes of cookies, the inequality sign to use will be a greater than sign (>), since my sister is not selling amount less. Hence the required inequality will be x > 250 where;

x is the amount of box of cookies

Answer:

still waiting for the ai to solve it

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the function f(x)=√(x-1), therefore, the function can be represented on the graph as is Y.

Hence, the correct option is C.

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Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

\(4x-y-11=0\)

or

\(y = 4x -11\)

Step-by-step explanation:

\( y-1= 4(x-3)\)

\( y-1= 4x-12\)

\( \implies -1+12= 4x-y\)

\( \implies \red{\bold{ 4x-y-11=0}}\)

or

\(\purple{\bold{y = 4x -11}}\)

Answer:

\(y = 4x - 11\)

Step-by-step explanation:

Parallel lines have the same slope.

\(1 = 4(3) + b\)

\(1 = 12 + b\)

\(b = - 11\)

\(y = 4x - 11\)

Answer:

The range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.

Step-by-step explanation:

Triangle Inequality Theorem

The measure of any side of a triangle must be less than the sum of the measures of the other two sides.

Given:

Taking AB to be the longest side of the triangle.

The measure of AB must be less than the sum of AC and BC:

⇒ AB < AC + BC

⇒ 22.2 < AC + 9.9

⇒ 22.2 - 9.9 < AC

⇒ 12.3 < AC

⇒ AC > 12.3 ft

Taking AC to be the longest side of the triangle.

The measure of AC must be less than the sum of AB and BC:

⇒ AC < AB + BC

⇒ AC < 22.2 + 9.9

⇒ AC < 32.1 ft

Therefore, the range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.

Answer:

500

Step-by-step explanation:

40*5 is 200. 200 cents is $2

Answer:

it cant be simplified

Step-by-step explanation:

Answer:

1 5/26 i used a calculator

Answer:

T< 11,3 > / a translation by 11 units to the right and 3 units up :]

Answer:

11 units to the right & 3 units down.

Answer:

7 cubic meters away

Step-by-step explanation:

its 83

i have no explanation

Answer: The Max fun is 9, and the Min fun is -3

Step-by-step explanation:

Please follow the steps carefully;

Let us consider the function f(x,y) = xy -------------- (1)

We will apply the Lagrange multipliers to maximize the function f(x,y) subject to the constraint  g(x,y) = x^2+y^2-xy = 9

By differentiating (1) w.r.t  x,   we get fx(x,y) = y

By differentiating (1) w.r.t  y,   we get fy(x,y) = x

By differentiating g(x,y) w.r.t  x,   we get gx(x,y) = 2x - y

Also By differentiating g(x,y) w.r.t  y,   we get gy(x,y) = 2y - x

let us take

fx = λgx

where y = λ(2x - y)

y/2x - y = λ  ----------- (2)

fy =  λgy

where x = λ(2y - x)

λ = x/2y -x ----------- (2)

Let us equate (2) and (3)

y/2x - y  = x/2y -x

2y² - xy = 2x² - xy

2y² = 2x² after cancelling like terms

y² = x²

So y = ±x

Now let us substitute y = x into the given constraint

x² + y² - xy = 9

x² + x² - x(x) = 9

x² = 9

therefore x = ± 3

We can conclude that when x = ±3, ⇒ y = ±3

The corresponding points are (3,3), (-3,-3)

Substitue y = -x in the given constraint gives

x² + y² - xy = 9

x² + (-x)² -x(-x) = 9

3x² = 9

x² = 3

x = ±√3

The corresponding points are (√3,-√3), (-√3,√3)

The function value is

f(x,y) = xy

f (√3,-√3) = (√3)(-√3) = -3

f (-√3,√3) = (-√3)(√3) = -3

we get;

f(3,3) = (3)(3) = 9

and

f (-3,-3) = (-3)(-3) = 9

We can conclusively say that ;

The Maximum value of the function is 9

The Minimum value of the function is -3

cheers i hope this helped

Answer:

2.  88,    3.  40,   4.  48,   5.  20

Step-by-step explanation:

first multiply&divide, then calculate from left to right

2.  5 · 4² + (2 · 3 + 2) = 5 · 16 + 6 + 2 = 88

3.  (4 + 3)² - 12 + 3 = 49 - 12 + 3 = 40

4.  64 ÷ 4 · 3 = 16 · 3 = 48

5.  3² - 4 + 5 · 3 = 9 - 4 + 15 = 20

Answer:

12x-36?

Step-by-step explanation:

well 4×3x and 9× 4 gives the answer

Answer:

f(5) = -6

Step-by-step explanation:

The probability of P(X = 48) and P(Y =2) is 0.1056 and 0.2642 respectively.

Suppose 10 percent of households earn over 80,000 dollars a year,and 0.25 percent of households earn over 450,000.

a random sample of 400 house-holds has been chosen

N = 400

P = 25%

n*p = 400*0.25 = 100

n(1-p) = 400 * 0.75 = 300

100 and 300 are greater than 5 so we use the normal distribution here to estimate further.

mean = n*p = 100

sd = √(np(1 - p))

sd = √(100(1 - 0.25))

sd = √(100 x 0.75)

sd = √75

sd = 8.66

p(X≥48)

= p(X≥47.5)

P(z <  (47.5 - 40)/6)

P(z < 1.25)

= 0.8944

1 - 0.8944

= 0.1056

FOR Y

N = 400 p = 0.25% = 0.0025

400 * 0.0025 = 1

1 is less than 5 so we use poisson distribution.

using the excel function,

1 - BINOMDIST(1, 400, 0.0025, TRUE)

= 1 - 0.735759074

= 0.2642

Therefore, the probability of P(X = 48) is  0.1056 and P(Y =2) is 0.2642

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Step-by-step explanation:

hope the above solution will help you

Quadrilatera WXYZ is congruent to quadrilateral LKMN

The order of the letters when both quadrilaterals were named is very important, because it tells you which vertex of one of them is congruent with the vertex of the other one, as well as the angles so that:

We know that

m∠W=121º

m∠Y=47º

m∠K=102º

m∠M=90º

And the corresponding angles are congruent so that:

m∠W=m∠L=121º

m∠X=m∠K=102º

m∠Y=m∠N=47º

m∠Z=m∠M=90º

From this we can determine that the measure of m∠L=121º, so the correct option is D.