Evaluate the function for the given values of x.

Answer:

LCD = 12

Equivalent Fractions with the LCD

5/6 = 10/12

5/4 = 15/12

Step-by-step explanation:

Rewriting input as fractions if necessary:

5/6, 5/4

For the denominators (6, 4) the least common multiple (LCM) is 12.

LCM(6, 4)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

5/6 = 5/6 × 2/2 = 10/12

5/4 = 5/4 × 3/3 = 15/12

I used a least common denominator calculator so I hope this helped!!

The value of x is given as follows:

x = 24.

The measure of angle DFE is given as follows:

<DFE = 62º.

To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angle measures for this problem are given as follows:

Hence the value of x is obtained as follows:

180 - 5x + 14 + 44 + 3x - 10 = 180

228 - 2x = 180

2x = 48

x = 24.

The measure of angle DFE is obtained as follows:

<DFE = 3(24) - 10

<DFE = 72 - 10

<DFE = 62º.

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Answer:

z(s) is in the rejection region we reject H₀     μ₁  = μ₂  and support the claim that at CI 95 % the means of the two groups differs

Step-by-step explanation:

Sample 1:

Sise sample   n₁  =  115

μ₁  = 169,9 mmHg

σ₁  = 24,8 mmHg

Sample 2:

Sise sample   n₂  =  235

μ₂  = 163,3 mmHg

σ₂  = 25,8 mmHg

We can develop a test hypothesis for differences in means to investigate if the mean peak systolic blood pressure differs between these two groups

We will choose CI = 95 %   then significance level  α  = 5 %

α = 0,05     α/2 = 0,025

z(c) for 0,025 is from z-table   z(c) = 1,96

Test Hypothesis:

Null Hypothesis                                  H₀           μ₁  = μ₂

Alternative Hypothesis                      Hₐ            μ₁  ≠ μ₂

The alternative hypothesis tells us that the test is a two-tail test.

z(s)  =  ( μ₁  - μ₂ ) / √ σ₁²/n₁  + σ₂²/n₂

z(s)  = ( 169,9  -163,3 ) / √ (24,8)² /115   +  ( 25,8)²/235

z(s)  =  6,6  / √5,35 + 2,83

z(s)  =  6,6  / 2,86

z(s) = 2,30

Comparing  |z(c)|    and  |z(s)|

z(s) > z(c)

z(s) is in the rejection region we reject H₀     μ₁  = μ₂  and support the claim that at CI 95 % the means of the two groups differs

Answer:

Step-by-step explanation:

y=-3x-1

The answer is x4 = input.nextDouble() and double avgnumber = (x1 + x2 + x3 + x4) / 4.

Declare the double variables x1, x2, x3, and x4.
double x1, x2, x3, x4;
Read each variable from input in that order.
Scanner input = new Scanner(System.in);
System.out.println("Enter x1:");
x1 = input.nextDouble();
System.out.println("Enter x2:");
x2 = input.nextDouble();
System.out.println("Enter x3:");
x3 = input.nextDouble();
System.out.println("Enter x4:");
x4 = input.nextDouble();
To Find the average of x1, x2, x3, and x4 and assign the result to avgnumber.
double avgnumber = (x1 + x2 + x3 + x4) / 4;

//This code takes four double variables from input and calculates the average by adding the four numbers together and dividing by four. The result is stored in the double variable avgnumber.

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Answer:

2.5 cm

Step-by-step explanation:

From the first 4 bounces, we find that the height of the lacrosse ball after each bounce is 1/4 the height that it was after the previous bounce. Therefore, since the 7th bounce is 6 bounces after the first bounce, we can set up an equation to find the balls height (y), after some number of bounces after the first one:

\(y=10240*(\frac{1}{4})^x\).

Plug-in 6 for x to get 2.5.

Hope this helps :)

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

=x2+−25+0

=x2+−25+0

=(x2)+(−25+0)

=x^2+−25

Aqui esta la respuesta y el procedimiento

Based on the common factors of 12, the possible dimensions of each planter box may be as follows:

The common factors of a number are the divisors that can divide a number (the dividend) without a remainder.

For example, the common factors or divisors of 12 are 1, 2, 3, 4, 6, and 12.

Base area of the planter box = 12 square inches

Length = 4 inches

Width = 3 inches

Area = Length x Width

= 4 x 3

= 12 square inches

Height = 6 inches (assumed value)

The three dimensions of an object (especially, a planter box) are the height, length, and width.

Therefore, the volume = 72 cubic inches (6 x 4 x 3).

Thus, finding the common factors of 12 and choosing 4 and 3, the possible dimensions are indicated above.

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The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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The required system of the equation that represents the number of quarters, q, and the number of dimes, d, in the jar is 0.10d + 0.25q = 8 and d + q = 50.

Given that,
Ronny is taking a jar with 50 dimes and quarters to Coin Master to redeem for dollar bills. The total value of his jar is $8.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of the dimes be d and the number of the quarters be q,
According to the question,
The total of the coins is 50,
d + q = 50,
And this coins values is $8,
0.10d + 0.25q = 50   [sinnce value of one dime = 0.10 and value of one quarter is 0.25]

Thus, the required system of the equation that represents the number of quarters, q, and the number of dimes, d, in the jar is 0.10d + 0.25q = 8 and d + q = 50.

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Based on the calculations, function 2 shows a greater rate of change, because Tom spends $4 each month and Ronin spends $3 each month: option C.

A slope is also referred to as gradient and it's typically used to describe the rate of change between the points of a data set.

Mathematically, the slope (rate of change) can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

For Ronin's money box, we have:

Points (x, y) = (1, 70) (2, 67)

Slope = (67 - 70)/(2 - 1)

Slope = -3.

Since Tom's money box is given by this function y = -4x + 70. Thus, the slope is equal to -4.

In order to determine which slope (rate of change) is greater, we would take the absolute value of the slopes as follows:

Ronin = |-3| = 3.

Tom = |-4| = 4.

Therefore, Tom's function shows a greater rate of change because he spends $4 each month while Ronin spends $3 each month.

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Answer:

∠3 and ∠1 are correct

Step-by-step explanation:

adjacent angles are next to each other with a common vertexand side

Answer: the answer is A

Step-by-step explanation: Jacob added -3 to both sides and multiplied both sides by 1/2, I take a test and my answer was correct...

Answer:

C

Step-by-step explanation:

Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)

Answer:

C

Step-by-step explanation:

Answer:  800 feet²

Step-by-step explanation:

Lets remove the brackets from the function's expression

A(x) = -2x²+80x

So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max

As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)

Lets find X1 and X2

x(80-2x)=0

x1=0   80-2*X2=0

x2=40

So Xmax= (0+40)/2=20

So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.

As given in the question,

Nearest point on the coast is 2 miles far away

rate of the row = 1mile per hour

Walk at the rate of 3 miles per hour

Let 'x' hours be the least time to reach point Q.

Time = distance / speed

Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3

Time taken to reach the coast = (√ 4 + x² ) / 1

Total  time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

To find least time dt/dx = 0

t  = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )

⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )

Squaring both the side we get,

x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )

⇒3x² -24x +36 =0

⇒ x² -8x + 12 = 0

⇒ x = 2 or 6 hours

Therefore , the least time taken to reach the point Q is equal to 2 hours.

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Answer:

$20

Step-by-step explanation:

Gym city fees are:

Sign up = 30

6 monthly sub = 6 x 25 = 150

Total fees = 30 + 150

FitnessExpress fees are:

Sign up = 20

6 monthly sub = 6 x 30 = 180

Total fees = 20 + 180 = 200

Therefore, the difference between the two is $20

Answer:

The answer for both apples and bananas is 21

The answer for only apples or only bananas is 45

Step-by-step explanation:

36 plus 30 minus 45

50-5 is 45

only apples or bananas is 15 + 9

Answer:

\(x^2 + (y-11)^2 = 5\)

Step-by-step explanation:

Completing the square gives us that

\(x^2+y^2-22y+96=0\\x^2 + (y-11)^2 - 11^2 + 96 = 0\\x^2 + (y-11)^2 = 121 - 96\\x^2 + (y-11)^2 = 25\\x^2 + (y-11)^2 = 5\)

Which is the standard form of a circle.

Answer:

Explanation:

Here, we want to get the equivalent expression to the given one

We have this as follows;

Answer:

1/3

Step-by-step explanation:

rise over run

Answer:

your answer will be 113.3 yard

Step-by-step explanation:

hope it helps you

have a good day

Answer:

G = 3

Step-by-step explanation:

Answer:

g=3

Step-by-step explanation:

reverse the whole question:

so all the minus would convert into an addition sign

hope that helps

please mark as brainliest if correct

have a great day/night.

thank you

19NBoli

Answer:

mutiply

Step-by-step explanation: