If a T.V. screen is 48 inches wide and 36 inches long, what is the diagonal length of the screen?
The diagonal length is
inches.

Step-by-step explanation:

a. 11 + x + y = 11 + x + y. True

b. 7 - 2x + 3y = 7 - 2x + 3y. True

c. 2x + 8 = 2x + 4. False

d. -5x - 45 = -5x - 45. True

The cost of 12 chairs and 3 tables  is Rs. 3900

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

15 chairs and 2 tables = Rs 4000

This means that

15x + 2y = 4000

Where

x = chairs and y = table

Next, we have

5x = 2y

So, the first equation becomes

3 * 2y + 2y = 4000

This gives

8y = 4000

So, we have

y = 500

Recall that

5x = 2y

So, we have

x = 2/5 * 500

x = 200

For 12 chairs and 3 tables , we have

Cost = 12 * 200 + 3 * 500

Cost = 3900

Hence, the cost is Rs 3900

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Answer:

Within 10 feet of a fire hydrant

Step-by-step explanation:

Answer:

10 feet.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

90+2x+x=180

3x=90

x=30

Answer:

30

Step-by-step explanation:

First we can find the total angle that we are "adding" to. This total angle is 180 degrees. Now since there is a right angle, H,E,G, we can remove 90 from that total to get 90. Now for x. Since there is a total of 3 x's, we divide 90 by 3 to get 30.

The expression represents the total number of points the player scored in the game:  2x+ 3x + 9

The correct option is A.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-dependent principles.

When something is expressed, the methods of expression change it in the process of communication. extracted from the Cambridge English Corpus. There were two conceivable orthographic expressions for this awareness.

Let x=number of 2-point attempts.

Free throws made equal 9 points.

A point is scored when x 2-point attempts are made.

After the break,

Number of 3-pointers divided by first-half 2-point attempts equals x

Point scored in x 3-point attempts equals 3 times.

Consequently, the player's overall point total during the contest is provided by : 2x+ 3x + 9

Consequently, the formula that denotes the total amount of points each player scored during the game is as follows: 2x+ 3x + 9

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I understand that the question you are looking for is:

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

A. 2x + 3x + 9

B. 2x + 3 + 9

C. 2x + 3x + 9x

D. 2 + 3x + 9

Answer:

Graph of exponential rising up to the right, through the point (0, 2).

Step-by-step explanation:

I think you mean  f(x) = 3^x + 1.

When x = 0, 3^x = 1, so the graph of f(x) = 3^x will rise up to the right and pass through point (0. 1)

The + 1 translates the graph up 1 unit so

The graph of f(x) = 3^x + 1 passes through the point (0, 2).

The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

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Answer:

2-241x

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

8154 = eight thousand one hundred and five four

27 = Two seven.

Now we divide.

8154/27 = 302

Now you get 302 if you divide.

So therefore, its false.

Answer:

$13024.00

Step-by-step explanation:

Use the compound interest formula we learned in algebra 1.

The equation of the circle in standard form is (x + 3)² + (y + 1)² = 28.

To convert the equation of a circle from general form to standard form by completing the square, we need to rearrange the terms and group the variables together.

The given equation is:

4x² + 24x + 4y² + 8y - 104 = 0

Let's start by completing the square for the x-terms:

4x² + 24x = 4(x² + 6x)

To complete the square for the x-terms, we need to add the square of half the coefficient of x, which is (6/2)² = 9, inside the parentheses. However, to maintain the balance, we need to subtract 4 times this value (4*9 = 36) from the equation as well:

4(x² + 6x + 9 - 36) = 4(x² + 6x - 27)

We can now repeat the process for the y-terms:

4y² + 8y = 4(y² + 2y)

Adding and subtracting the square of half the coefficient of y, which is (2/2)² = 1, we have:

4(y² + 2y + 1 - 1) = 4(y² + 2y + 1 - 1)

Now, let's simplify and group the terms:

4(x² + 6x - 27) + 4(y² + 2y + 1 - 1) - 104 = 0

4(x² + 6x - 27) + 4(y² + 2y + 1) - 4 - 104 = 0

4(x² + 6x - 27) + 4(y² + 2y + 1) - 108 = 0

To write the equation in standard form, we can divide the entire equation by the constant term on the right side (in this case, 108):

(x² + 6x - 27) + (y² + 2y + 1) = 27

Now, we can write the equation in standard form as follows:

(x + 3)² + (y + 1)² = 28

Therefore, the equation of the circle in standard form is (x + 3)² + (y + 1)² = 28.

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The percent yield is calculated as the ratio of the actual yield to the theoretical yield, multiplied by 100.

Percent yield is a measure of how efficient a chemical reaction or process is in producing the desired product.

The formula for percent yield is:

Percent Yield = (Actual Yield / Theoretical Yield) * 100

The actual yield is the amount of product obtained from the reaction or process, typically measured in grams or moles. It represents the actual amount of product obtained in the laboratory.

The theoretical yield, on the other hand, is the maximum amount of product that can be obtained based on stoichiometry and other factors. It is calculated using balanced chemical equations and the starting amounts of reactants.

By dividing the actual yield by the theoretical yield and multiplying by 100, we get the percent yield, which is expressed as a percentage.

This value provides insight into the efficiency of the reaction or process, with a higher percent yield indicating a more efficient conversion of reactants into products.

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The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.

A triangle is known to be a kind of a polygon that is made up of three edges and also made up of  three vertices.

It is regarded as a key shapes in geometry as its vertices is often denoted with A, B, and C.

The points will be taken as: A(1,6),  B(1,1) and C (5,1)

=AB + BC = AC

Therefore, The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.

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The value of the integral is given by: (1/6)[x2 evaluated at the four corners] = (1/6)[0 + 1 + 0 + 0 + 4(1/3)] = 1/2  

The tetrahedron E has vertices (0,0,0), (1,0,0), (0,1,0) and (0,0,1).

∭E x2dV is to be determined.

The integral of a function f(x, y, z) over a tetrahedron E with vertices (a,b,c), (d,e,f), (g,h,i), and (j,k,l) can be computed using the following formula:

∭E f(x,y,z)dV = (1/6)[ f(a,b,c) + f(d,e,f) + f(g,h,i) + f(j,k,l) + 4f((a+d+g+j)/4,(b+e+h+k)/4,(c+f+i+l)/4)]

V = (1/6)[ x2 evaluated at the four corners]

Using the coordinates of the vertices of the tetrahedron, we can determine the value of the integrand at each of the four vertices:

f(0,0,0) = 0

f(1,0,0) = 1

f(0,1,0) = 0

f(0,0,1) = 0

Now that we have the integrand evaluated at the vertices, we can compute the value of the integral as follows:

V = (1/6)[x2 evaluated at the four corners]

= (1/6)[0 + 1 + 0 + 0 + 4(1/3)]

= 1/2

Therefore, the value of the integral is given by: (1/6)[x2 evaluated at the four corners] = (1/6)[0 + 1 + 0 + 0 + 4(1/3)] = 1/2  The value of ∭E x2dV is 1/2.

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Answer:

help help help help help

Answer:

help help help help help

Step-by-step explanation:

Answer:

B. -11

Step-by-step explanation:

ascending order means least to greatest.

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...

3, -1, \(\sqrt{5}\), 13, -11

-11 is the least number because it is the greatest negative number

Let  p be the function that gives the cost , in dollars, of producing 1 watt of solar energy years after 1977. Here is a table showing the values of  from 1977 to 1987.

t         p(t)                       p(10)-p(0)

0 80                          p(10)

1 60                          p(10)- p(0)/10-0

2 45                            p(10-0)

3 33.75

4 25.31

5 18.98

6 14.24

7 10.68

8 8.01

9 6.01

10 4.51

Which phrase best captures the average rate of change in the price of solar energy between 1977 and 1987?

Which phrase best captures the average rate of change in the price of solar energy between 1977 and 1987?

Which equation best captures the yearly average increase rate of solar prices between 1977 and 1987?

This discussion aims to help students remember what average rate of change for a function means and how it is computed. Select students to explain what each expression's value in this context means. For instance, the cost difference for a solar cell between 1977 and 1987 is represented by the formula p(10)- p(0), whereas the percent change between 1977 and 1987 may be calculated as p(10)/p(0). The fact that the real phrase for the average rate of change, p(10)-p(0)/10-0=-7.55, reveals that the price declined by -$7.55 on average per year since the expression considers the whole difference in price between the 1977 and 1987 divided by the total number of years that passed.

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Brook measured the distance between two points on the line that are 4 units apart. This is a valid measurement of distance between those two points on the line.

Caleb's statement that the whole line does not have a distance because it continues on forever is a mathematical concept related to the idea of infinity. In mathematics, a line is considered to be an infinite set of points, and therefore, it does not have a finite length or distance.

However, when we talk about a specific segment or distance on the line between two points, we can measure that distance and express it as a finite number.

Vivian's statement that the line is 6 units long is incorrect, assuming that she is referring to the entire line.

As mentioned earlier, a line is considered to be infinite and therefore does not have a finite length or distance. If she is referring to a specific segment of the line between two points, then it is possible that the length of that segment is 6 units.

Therefore Brook measured the distance between two points on the line that are 4 units apart.

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Brook refers to a specific segment of the line, which is 4 units. Caleb correctly states that a geometric line is infinite. Vivian could be referring to a different segment, which she says is 6 units.

In this scenario, we can infer that Brook is talking about a specific segment of the line rather than the entire line. He has measured a specific distance along the line, which he states is 4 units. Meanwhile, Caleb is correct in saying that the whole line does not have a specific length because it continues on forever. This is a property of a geometric line, which is infinite. Vivian's assertion that the line is 6 units could mean that she is referring to another specific segment of the line, different from the segment Brook measured.

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To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.

The correct option is, option (C) 6.

The probability of rolling a number 3 on any given roll is 1/4

If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).

The formula for the probability mass function of a binomial distribution is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:

P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)

To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:

E(X) = n * p

In this case, E(X) = 20 * 1/4 = 5

Therefore, the expected number of times Joan rolls a 3 is 5.

Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.

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An approximate 95% confidence interval for the difference in the mean tooth damage is  (6.41 - 5.20) ± 2.26\(\sqrt{\frac{25}{10}+\frac{225}{15} }\)

For sweetened samples

The value of n = 10

The mean of the samples = 6.14

The standard deviation of the sample = 5.0

For unsweetened samples

The value of n = 15

The mean of  the sample = 5.20

The standard deviation of the sample = 15.0

We have to assume that necessary conditions for inference are met

The confidence interval = 95%

The equation will be

(6.41 - 5.20) ± 2.26\(\sqrt{\frac{25}{10}+\frac{225}{15} }\)

Therefore, the difference in the mean tooth damage is (6.41 - 5.20) ± 2.26\(\sqrt{\frac{25}{10}+\frac{225}{15} }\)

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2 3 5 7 11 13 17 19 23

29 31 37 41 43 47 53 59 61 67

71 73 79 83 89 97 101 103 107 109

113 127 131 137 139 149 151 157 163 167

173 179 181 191 193 197 199 211 223 227

229 233 239 241 251 257 263 269 271 277

281 283 293 307 311 313 317 331 337 347

349 353 359 367 373 379 383 389 397 401

409 419 421 431 433 439 443 449 457 461

463 467 479 487 491 499 503 509 521 523

541 547 557 563 569 571 577 587 593 599

601 607 613 617 619 631 641 643 647 653

659 661 673 677 683 691 701 709 719 727

733 739 743 751 757 761 769 773 787 797

809 811 821 823 827 829 839 853 857 859

863 877 881 883 887 907 911 919 929 937

941 947 953 967 971 977 983 991 997   Thats all the prime numbers between 1 and 1000   Prime numbers can only be multiplied by its self ad one

Answer: Jesus will have 36 dollars after 8 days

Step-by-step explanation: 8 x 8= 64

100-64=36

Answer:

\(f(x)=\begin{cases}x^2 + 3; & \text{ } x<1 \\ -2\cdot x+5; & \text{ } x\geq 1 \end{cases}\)

Step-by-step explanation:

The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph

Therefore, the piecewise function shown in the quadratic graph is given as follows;

f(x) = x² + 3; x < 1

The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of x to the boundaries of the graph

Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2

The equation of the function is y - 3 = -2·(x - 1)

∴ y = f(x)  -2·x + 2 + 3 = -2·x + 5

f(x) = -2·x + 5; x ≥ 1

The probability of getting two balls of the same color is 13/22.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true

Since there are 12 balls in a box and 3 are red and 9 are blue. The probability of picking reds will be:

= P(red) × P(red)

= 3/12 × 2/11

= 1/22

The probability of picking blues will be:

= P(blue) × P(blue)

= 9/12 × 8/11

= 6/11

Therefore, the probability of getting two balls of the same color will be:

= P(reds) + P(blues)

= 1/22 + 6/11

= 13/22

The probability is 13/22.

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The zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Also ,  the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

In the given question, we are given the transfer function of the system. The zero input response y(t) can be calculated using the following steps:

Step 1: Find the roots of the denominator of the transfer function. In the denominator, we have:s²+6s+9 = 0Using the quadratic formula, we get: s1 = s2 = -3Therefore, the denominator of the transfer function can be written as:

s²+6s+9 = (s+3)²

Step 2: Find the partial fraction of the transfer function. To find the partial fraction, we need to factorize the numerator of the transfer function.

G(s) = (3s+5):(s+3)²= A:(s+3) + B:(s+3)² + C Where A, B, and C are constants.

Multiplying both sides by (s+3)², we get:3s+5 = A(s+3)(s+3) + B(s+3)² + C On substituting s=-3 in the above equation, we get: C = 5/9On equating the coefficients of the terms with s and the constant term, we get:

A + 2B + 9C = 3A + 3B = 0On substituting C=5/9 in the above equation, we get: A = -2/3 and B = 2/9Therefore, the partial fraction of the transfer function can be written as: G(s) = -2/3:(s+3) + 2/9:(s+3)² + 5/9

Step 3: Find the inverse Laplace transform of the partial fraction of the transfer function. The inverse Laplace transform of the partial fraction of the transfer function can be calculated as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9\)

On substituting y(0) = 3 and y'(0) = −7, we get:3 = -2/3 + 5/9y'(0) = -2 + 10/9 = -8/9

Therefore, the zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Therefore, the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

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The three basic types of rigid transformations are rotation, reflection and translation transformation

The correct options are;

Quadrilateral ABCD is reflected over the x-axis → (2, 4)

Quadrilateral ABCD translated 2 units right and 1 unit down → (4, -5)

Quadrilateral ABCD dilated about the origin by a scale factor of 3 → (6, -12)

Quadrilateral ABCD rotated 180° clockwise about the origin → (-2, 4)

The reasons the above matches are correct are as follows:

The given coordinates of the preimage are A(2, -4)

The image of (x, y) following a reflection over the x-axis is (x, -y)

Therefore

The image of (x, y) following a translation of 2 units right and 1 unit down → (x + 2, y - 1)

Therefore;

The image of (x, y) following a dilation about the origin by a scale factor of 3 is (3×x, 3×y)

Therefore;

The image of the point (x, y) rotated 180° clockwise about the origin is (-x, -y)

Therefore;

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Answer:

look at the pic for correct answer

or my explanation below

Step-by-step explanation:

1....(2.4)

2...(4.-5)

3...(6.-12)

4...(-2.4)