f a basketball player is 90 inches tall and the scale factor for his model bobble head is 1:20. How tall is the model bobble head in inches?

Answer:

Step-by-step explanation:

the first one

Answer:

We can't prove it equal because the measures are different, it cannot be proved through AAS, ASA, SAS or SSS

angle U=Angle R

but UW≠ RT &RS

Step-by-step explanation:

Answer:

11.5%.

Step-by-step explanation:

Looking at the base of the exponent, it can be seen that it is 1.115. 1.00 is equal to 100% of the investment value each year. There is an additional 0.115, which is equivalent to 11.5%, which represents the increase in the investment value each year.

Therefore, the percent increase each year for the investment is 11.5%.

Answer:

x = 6

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , so

11x - 14 = 7x + 10 ( subtract 7x from both sides )

4x - 14 = 10 ( add 14 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Based on the explanation below, the solution for c from the equation in the question is 2 - d.

Before answering the question, the correct complete question is provided as follows:

Solve for c from the equation 7(c+d)=14.

We can now solve for c from the equation in the question as follows:

7(c+d)=14

c + d = 14 / 7

c + d = 2

c = 2 - d

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Answer: yes

Step-by-step explanation:

x=5

Answer: Yes, 5 is a substitute for x.

Step-by-step explanation:

Yes, 5 is a substitute for x because, 4x or, 4x5 is 20. Knowing the PEMDAS method, that is what we would use. So since multiplication is first, we use the 4x first.

The other side: 8x or, 8x5, is 40. 40-13=27. So yes, 5 is a substitute for x.

Answer:

4,175

Step-by-step explanation:

The difference is Max's elevation, added to Davian's. So you just to 4,125

+ 50 to get the difference of 4,175

The volume of the water in the swimming pool having diameter 324 ft and height of the water 4 ft be, 1,810.28 ft³.

Given, a circular swimming pool has a diameter of 24 ft, the sides are 5 ft high and the depth of the water is 4 ft.

we have to find the work required to pump all of the water out over the side.

First we have to find the volume of the swimming pool

as, the swimming pool is in the shape of cylinder

and the volume of the cylinder be,

volume = πr²h

r =  24/2

r = 12

h = 4

On substituting the values in the formula, we get

Volume = 22/7×12×12×4

Volume = 1,810.28 ft³

So, the volume of the water in the swimming pool be, 1,810.28 ft³

Hence, the volume of the water in the swimming pool be, 1,810.28 ft³.

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Answer:

i think that the answer is 1.000

Step-by-step explanation:

The value of x when h(x) =-3 is 5.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

h(x) = -x + 2

Now, we have to find the value of x when h(x)= -3

So, h(x)= -3

-x+ 2= -3

Now, Subtracting 2 from both side

-x+ 2 -2= -3 -2

-x = -5

x= 5

Hence, the value of x is 5.

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The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.

What is integral ?

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.

to find the definite integral from a given interval that is equal to the limit of a summation as n approaches infinity. The limit of the summation is expressed as the product of 10, the summation of a term k that ranges from 1 to n, and a fraction involving the square root of 1 plus 5k times n.

To determine the definite integral that is equal to this limit, we need to identify the integrand, the interval of integration, and the constant factor of 10. By comparing the integrand, interval, and constant factor to the different definite integrals listed in the answer choices,  identify the correct answer.

The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.

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The length of the river in real life is 60000 cm.

A map's scale is the ratio of a distance on the map to its equivalent distance on the ground. The curvature of the Earth's surface complicates this simple concept by forcing scale to vary across a map.

The term scale refers to the relationship between a measurement on a model and the corresponding measurement on the actual object.

In this situation, the scale on a map is 1: 30,000 and the length of a river on the map is 2cm. The length will be:

= 2 × 30000

= 60000

The measurement is 60000 centimeters.

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Answer:

Attached is what the graph should look like.

Step-by-step explanation:

|2x + 2| > 4

Separate the equations into two different ones:

2x + 2 > 4                                                    2x + 2 < - 4

     - 2  - 2                                                         - 2     - 2

2x > 2                                                           2x < -6

/2   /2                                                            /2    /2

x > 1                                                              x < -3

Hope this helps!

Answer:

8.048 liters

Step-by-step explanation:

Convert 8542 ml to liters:  (8542 ml)(1 liter/1000 ml) = 8.542 liters

Now subtract 0.458 liters to find the amount that a fish tank can hold:

 8.542 liters

-0.458  liters

8.048 liters is the fish tank capacity

Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.  

The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.

Theoretical yield is given as mt = 9.23 g

The actual amount of product recovered is given as ma = 7.89 g

We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.

Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %

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Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Answer: ?

Step-by-step explanation: because

Answer:

y = -4x + 19

Step-by-step explanation:

We will use the linear equation y = mx + c for this

m is our slope and c is our offset (y-intercept)

We are informed that our slope is -4 so

y = -4x + c

To find the equation of a line passing through the point (5,-1) we simply plug in our values into our equation

-1 = -4(5) + c

Then we can find c

-1 = -20 + c

19 = c

Now that we have our m and c, we can form an equation of a line that passes through our point:

y = -4x + 19

Answer:

6a^2 + ab - 2b^2

Step-by-step explanation:

[insert something smart]

Answer:

I would guess because I'm not smart and need physical help

Answer:

C (-3/4)

Step-by-step explanation:

Decimal form is - 0.75

Answer

C

Step-by-step explanation:

you can always check by plugging the number back into the equation

Answer:

You can not solve it because Side P does not exist

Step-by-step explanation:

Step-by-step explanation:

ffdfgjufdduudryhcoydktsnvkysoyeits

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The decimal representation of \($\frac{n}{475}$\)terminates for one value of n between 1 and 474 inclusive:\($n=475$\). This is because \($475$\) is the only number between 1 and 474 that is divisible by 475.

To determine for how many integer values of n between 1 and 474 inclusive does the decimal representation of\($\frac{n}{475}$\) terminate, we must find out which values of n between 1 and 474 are divisible by 475. We can do this by dividing each number between 1 and 474 by 475 and checking if the remainder is 0. If the remainder is 0, then the number is divisible by 475 and the decimal representation of

\($\frac{n}{475}$\)

will terminate. We find that the only number between 1 and 474 that is divisible by 475 is

\($n=475$\),

so the decimal representation of

\($\frac{n}{475}$\)

terminates for only one value of n between 1 and 474 inclusive: \($n=475$.\)

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Answer:

A = a/2^2 + b/2^2          where b = 26 - a     (a/2 and b/2 sides of square)

A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)

4 * A= 2 a^2 - 52 a + 676

4 dA / da =4 a - 52 = 0

Area will be minimized when   a = 13 and b = 13

Check:  

 n A

13 13 0 84.5

12 14 1 85

11 15 2 86.5

10 16 3 89

9 17 4 92.5

8 18 5 97

7 19 6 102.5

6 20 7 109

5 21 8 116.5

4 22 9 125

3 23 10 134.5

2 24 11 145

1 25 12 156.5

0 26 13 169

The statistics you could find given the information above (see attachment) include the following:

A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.

In Mathematics, the five-number summary of any box and whisker plot include the following:

For the range, we have:

Range for women = 150 - 0 = $150

Range for men = 35 - 0 = $35

For the standard deviation, we have:

Standard deviation for women = range/4

Standard deviation for women = 150/4 = 37.5

Standard deviation for men = range/4

Standard deviation for men = 35/4 = 8.75.

For the interquartile range, we have:

Interquartile range = third quartile - first quartile.

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