State the meaning of half a^2

The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.

The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.

Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.

Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377

Total number of phone numbers = 10000 + 10000

Total number of phone numbers = 20000

Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

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Answer:

profit is 23 selling price is $483

Step-by-step explanation:

Cp of Camera=Rs.460

profit= 5%

so profit =5% of 460=(5*460)/100=Rs.23

then selling prices of camera= cp of camera + profit Rs=$460+23=483 hope this helps

The answer fοr this is Substitutiοn Prοperty

What is Substitutiοn Prοperty?  

The substitutiοn prοperty is a cοncept in algebra that is used tο substitute the value οf a given variable οr a quantity intο an expressiοn tο find the value οf the unknοwn. In simple wοrds, we can say that the substitutiοn prοperty is used tο replace the value οf a quantity in an equatiοn οr an expressiοn tο sοlve a mathematical prοblem. We will discuss the meaning οf the substitutiοn prοperty οf equality, the substitutiοn prοperty in geοmetry, and the direct substitutiοn prοperty in limits in the fοllοwing sectiοns.

Substitutiοn Prοperty is cοnsidered as οne οf the mοst intuitive οf the mathematical prοperties that yοu'll prοbably encοunter. Yοu may have been using substitutiοn withοut even knοwing it. This prοperty says that if x=y, then in any true equatiοn invοlving y, yοu can replace y with x, and yet yοu'll still have a true equatiοn.

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Take a loοk at the attached example shοwn below.

The P-value is greater than a, which means we should not reject the null hypothesis.

Therefore, Fail to reject the null hypothesis.

As per the given data,

We need to find out that should Nancy reject or fail to reject the null hypothesis given the sample data ?

According to the above stated question,

it is given that,

Nancy is an economist who would like to make the claim that the average weekly grocery budget for households in a  u.s. city is less than $253.

No. of households in which Nancy take samples in the same city is 18.

Nancy obtains a sample mean of $229.60.

Nancy spent on groceries per week at the 2.5% significance level.

Now, according to the given above stated information:

The null and alternative hypotheses are

\(H_{0} =\) μ = 253

\(H_{a}=\)μ <253

Thus, this is a left-tailed test.

The significance level, \(\alpha\) = 0.05

The test statistic is t = - 0.75

The sample size, n = 18

The degrees of freedom is given by:

degrees of freedom=n - 1

Now, putting value of n we get:

=n - 1

= 18 - 1 = 17

P-value = P(\(t_{17}\) < - 0.75) = 0.2318

Therefore, the P-value is greater than a, which means  we should not reject the null hypothesis.

Fail to reject the null hypothesis.

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Nancy, an economist, would like to make the claim that the average weekly grocery budget for households in a small U.S. city is less than $253. Nancy samples 18 households in the same city and obtains a sample mean of $229.60 spent on groceries per week.

At the 2.5% significance level, should Nancy reject or fail to reject the null hypothesis given the sample data below?

Use the graph below to select the type of test (left, right-, or two-tailed).

Then set the a and the test statistic to find the p-value. Use the results to determine whether to reject or fail to reject the null hypothesis.

The time to cover the distance is D/R

To find out how long it would take a giraffe to cover a distance of D miles at a speed of R mph, we can use the formula:

Time = Distance / Speed

In this case, the distance is D miles and the speed is R mph. Plugging these values into the formula, we get:

Time = D / R

So, the time it would take the giraffe to cover a distance of D miles at a speed of R mph is D divided by R.

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Answer:

The answer should be $31.99

Step-by-step explanation:

To find the volume of this solid, we will use the method of cylindrical shells. We will integrate the cross-sectional area of a cylinder, given by πr^2, over the height of the solid. The height of the solid is given by the difference between the upper and lower bounds of the region, which are y = x^2 and y = 0, respectively. The radius of each cylindrical shell is given by the distance of the cross-sectional circle from the y-axis, which is x.

So, the volume of the solid is given by the integral:

V = ∫[0, 1] π * x^2 dx

Using the antiderivative of π * x^2, which is π * x^3 / 3, we can find the definite integral:

V = (π * x^3)/3 from 0 to 1

Evaluating the definite integral and simplifying, we get:

V = π/3 units^3

So, the volume of the solid is π/3 units^3.

Answer:

Step-by-step explanation:

Find the volume of the solid generated by rotating the region bounded by y = x^2, y = 0, and x = 1, about the y-axis.

Answer:

192

Step-by-step explanation:

48/100 ×400

48×100

=192

Answer:

48% of 400=48/100×400=48×4=192 is your answer

Answer:

5 times the quantity x plus 6

5x + 6

32 divided by the quantity y + 12

\(\frac{32}{y+12}\)

Step-by-step explanation:

Pls do mark me brainliest:)

Supplementary angles are angles that have a sum of 180 degrees.

Let the angle be x.

We're given:

Solve for x:

\(x=67.4+(180-x)\\x=67.4+180-x\\2x=247.4\\x=123.7\)

Solve the the supplementary angle:

\(180-x\\= 180-123.7\\= 56.3\)

The angle measures 123.7 degrees and its supplementary angle measures 56.3 degrees.

Answer:

Simplify what though? i would answer u but plz put what im supposed to simplify

Step-by-step explanation:

Answer:

The area will be:

\(A=18(1+\sqrt{3}) \: u^{2}\) or \(A=49.18 \: u^{2}\).

Step-by-step explanation:

Using the definition of tangent, we have:

\(tan(\alpha)=\frac{6}{\vec{AB}}\)

We know that tan(α) = 1, then we can find AB

\(1=\frac{6}{\vec{AB}}\)

\(\bar{AB}=6\: u\)

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

\(tan(30)=\frac{6}{\bar{BC}}\)

\(\bar{BC}=\frac{6}{tan(30)}\)

\(\bar{BC}=\frac{6}{1/\sqrt{3}}\)

\(\bar{BC}=6\sqrt{3} \: u\)

So, the base of the triangle will be:

\(b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u\)

The area of a triangle is given by the following equation:

\(A=\frac{b*h}{2}\)

\(A=\frac{6(1+\sqrt{3})*6}{2}\)

\(A=18(1+\sqrt{3})\)

Therefore, the area will be \(A=49.18 \: u^{2}\).

I hope it helps you!

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

If two marbles are taken and we are looking for exactly one red, then it is:

Find the probability of each case:

Probability of exactly one red:

Answer:

she set up the proportion incorrectly; the second ratio should be 2/x

Step-by-step explanation:

To obtain the width :

Scale drawing :

Initial = 1 inch = 4 feet

New = 1 inch = 7 feet

Width of rectangle = 2 inches

New width should be in the form :

new scale = width of rectangle / width of drawing

If width of drawing = x

1 / 7 = 2 / x

Cross multiply

x = 7*2

x = 14

Answer:

its A

Step-by-step explanation:

The man is ignoring a 'folkway', an informal social rule or norm that suggests individuals should not join another person's table in a restaurant unless it is busy or they have asked for permission.

The unspoken rule that the man is ignoring is termed as a folkway. Folkways are informal rules and norms that, while not enshrined in law or official regulation, are typically followed in social settings to maintain order and decorum. In this case, the common understanding or folkway being broken is the norm of not joining someone else's table at a restaurant, unless the restaurant is busy or permission is asked.

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Answer: Either h(x) = (x+1)^2 or h(x) = x^2+2x+1

Reason:

If x = -1 is a root, then x+1 = 0 and it shows (x+1) is a factor.

We'll have two copies of the factor (x+1) because it's the only root. We call it a double root or a root of multiplicity 2.

That leads to h(x) = (x+1)^2 as one possible answer.

Expanding things out leads to this:

h(x) = (x+1)^2

h(x) = (x+1)(x+1)

h(x) = x(x+1)+1(x+1)

h(x) = x^2+x+x+1

h(x) = x^2+2x+1

It shows that h(x) = (x+1)^2 is the same as h(x) = x^2+2x+1

The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.

For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.

The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.

Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.

Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.

This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.

Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.

The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.

Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.

Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the  answer is (b) S = 2231.

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

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To determine if the three numbers can be the measures of the sides of a triangle:

According to the Triangle Inequality theorem to construct a triangle, the sum of the two sides of the triangle is greater than the third side i.e x + y>z

1) 9, 7, 13

So, 9+7 > 13

16 > 13

7+ 13 > 9

20 > 9

9+13 > 7

22 > 7

Yes, they can be the measures of the sides of a triangle.

2) 26, 12, 11

So, 26+12 > 11

38 > 11

12+ 11 > 26

23 < 26

No, they cannot be the measures of the sides of a triangle.

3) 11, 2,9

So, 11+2 > 9

13 > 9

2+ 9 > 11

11 = 11

No, they cannot be the measures of the sides of a triangle.

4) 6, 11, 12

So, 11+6 > 12

17 > 9

11+12 > 6 and 12+6 > 11

Yes, they can be the measures of the sides of a triangle.

To determine the range of the third side we find the maximum value and minimum value using two sides of a triangle.

Let's assume that x is the third side of the triangle.

5) 12,9

So, the maximum value of the third side is 12+9 = 21 and the minimum value is 12-9 = 3.

Hence, the range is 3<x<21.

6) 8, 11

The maximum value of the third side is 8+11 = 19 and the minimum value is 11-8 = 7.

Hence, the range is 3<x<19.

7) 11,6

The maximum value of the third side is 11+6 = 17 and the minimum value is 11-6 = 5.

Hence, the range is 5<x<17.

8) 12,8​

The maximum value of the third side is 12+8 = 20 and the minimum value is 12-8 = 4.

Hence, the range is 4<x<20.

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Answer:

3x = 15

x = 15/3

x  =5

Answer:

i don't know

Step-by-step explanation:

i am lower grade srry

Answer:

I mean, I think it varies by house and by location but a general range would be:

Min: 64 *F

Max: 74 *F

Answer:

D is the closest, but look at the work below.

Step-by-step explanation:

First let's write what we know.

We have 8 equal sections, they are:

                            1

                     5          2

                 1                     1

                     4          3

                            1

We need to find the probability the pointer will land on an odd-numbered section.

Now we find how many odd numbered sections there are.

                            1

                     5          2

                 1                    1

                     4          3

                            1

There are 6 odd numbered sections.

So you have a 6 in 8 chance of spinning an odd number or 6/8.

6/8 can be reduced to 3/4 or .75 05 75%

This doesn't match any of your answers you gave, so double check the question or the answers. D is the closest, but this is a very clear solution and I am wondering if there is an oops somewhere.

Answer:

c) (7, 9)

Step-by-step explanation:

Simply add the corresponding coordinates.

Answer:

Download PHOTO MATH trust me you will pass math. :) hope this helped

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The area of a parallelogram is base * height.

The area is given as 135

The height is given as 15

You do not need to use 17

Area = base * height       Substitute

135 = base * 15                Divide by 15 on both sides

135/15 = base*15/15

base = 9  

The roof lets in 663 watts of light per square meter.

If 780 watts per square meter (w/m2) of light strikes the roof and it has an 85% transmittance, 85% of the light goes through the roof, and the other 15% is absorbed or reflected by the roof.

We can apply the following calculation to determine how many watts per square meter of light travel through the roof:

(Percent transmittance / 100) x Watts of light striking the roof = Watts of light going through the roof

When we substitute the provided values, we get:

Light streaming through the roof in watts = (85 / 100) x 780 w/m2

Light flowing through the roof in watts = 0.85 x 780 w/m2.

Light coming through the roof in watts = 663 w/m2 (rounded to the next whole number)

As a result, The roof lets in 663 watts of light per square meter.

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Answer:

what are the choices?

Step-by-step explanation: