Three times the greater of two consecutive odd integers is five less than four
times the smaller. Find the two numbers.
A. 11, 13
15, 17
C.
8, 10
D. 8,9

Answer:

The Pythagorean theorm is c=a2+b2

Step-by-step explanation:

Answer:

the pythagorean theorm is a² + b ² = c ²

Step-by-step explanation:

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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The maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the customer spend $x on television, and $y on mounting kit.

x + y = 500

x = 300 + 75 = 375

y = 500 - 375 = $125

Thus, the maximum amount, in dollars, the customer could have spent for the mounting kit after purchasing the television is $125.

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Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.

Given are the two coordinates to be plotted on a Cartesian plan -

(5, 4) , (3, 4).

The two given coordinate points are (5, 4) , (3, 4).

Refer to the graph attached. It shows both the points plotted.

Therefore, both the coordinate points are plotted on the cartesian graph.

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Answer:

B.

Step-by-step explanation:

To solve, substitute 25 in for x:

\(a_{x} = (-3)2^x^-^1\)

\(a_{x} = (-3)2^2^5^-^1\)

\(a_{x} = (-3)2^2^4\)

\(a_{x} = (-3)(16777216)\)

\(a_{x} = -50331648\)

The probability that it will rain on both Tuesday and Wednesday is 60%.

Let A represents the event of raining on Wednesday and B represents the event of raining in Tuesday,

Then according to the question,

P(A) = 20% = 0.2,

P(B) = 50% = 0.4,

Here, A and B are independent events,

So, P(AB) = P(A) × P(B),

⇒ P(A∩B) = 0.2 × 0.5 = 0.10

We know that,

P(A∪B) = P(A) + P(B)

The probability it rains on Wednesday or Tuesday, P(A∪B) = 0.2 + 0.5 - 0.10

= 0.60

= 60%

Hence the probability that it will rain on both Tuesday and Wednesday is 60%.

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Answer:

Step-by-step explanation:

Subtract both sides by 4w

q - 4w = 4n

Divide both sides by 4

n = q - w

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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Answer:

25.2

Step-by-step explanation:

168 x .15 = 25.2

\(\large\text{Hey there!}\)

\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{25.2}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

A​ T-shirt is launched with an initial upward velocity of 78 feet per second, the T-shirt will reach its maximum height in approximately 2.44 seconds.

The height of the T-shirt is given by the function h(t) = -16t^2 + 78t + 5, where h is the height in feet and t is the time in seconds.

To find the time it takes for the T-shirt to reach its maximum height, we need to find the vertex of the parabolic function.

The vertex occurs at the time t = -b/2a, where a = -16 and b = 78 are the coefficients of the quadratic function.

t = -b/2a = -78/(2*(-16)) = 2.4375

Therefore, the T-shirt will reach its maximum height in approximately 2.44 seconds.

To find the maximum height, we substitute this value of t into the equation for h:

h(2.4375) = -16(2.4375)^2 + 78(2.4375) + 5 ≈ 97.19 feet

Therefore, the maximum height of the T-shirt is approximately 97.19 feet.

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Answer:

r ≈ 3

Step-by-step explanation:

Using the formula:

V = \(\pi r^{2} h\)

Rearrange to make r the formula:

r = \(\sqrt{\frac{V}{\pi h} }\)

r = \(\sqrt{\frac{282.6}{10\pi} }\)

r ≈ 2.99924

r ≈ 3

Answer:

$95.4

Step-by-step explanation:

6% in decimal form is 0.06

we need to find what 6% of 90 is to see how much sales tax there is on this item

0.06*90=5.4

the sales tax is 5.4

5.4 is 6% of 90 so we need to add 5.4 to 90

90+5.4=95.4

$95.4---total amount noah paid(normal price+ sales tax)

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

The 90% confidence interval for the given data is 4.8 ± 2.73.

A confidence interval is a type of interval computation used in statistics that determines the true value of an unknown parameter based on the observed data. The interval estimates the deterministic parameter with a level of confidence that is quantified by the confidence level.

Given, sample mean (x) = 4.8

           z at 90% confidence level = 1.645

           sample standard deviation (s) = 5.25

           sample size (n) = 10

We know that, Confidence interval = x ± (z × s) ÷ √n

                                                           = 4.8 ± (1.645×5.25)/√10

                                                           = 4.8 ± 8.63625/3.1622

                                                           = 4.8 ± 2.73

            ∴ Lower bound = 4.8 - 2.73 = 2.07

       and, Upper bound = 4.8 + 2.73 = 7.53

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Answer:

Step-by-step explanation:

a.

\(2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}\)

Answer:

21

Step-by-step explanation:

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer: No because BC is not perpendicular to AB.

Step-by-step explanation:

Yes, rhombus ABCD is a square as all four angles of the rhombus are right angles.

A square is a special type of rhombus where all four sides have the same length and all four angles are right angles.

In this case, we can see that all four sides of the rhombus have the same length by calculating the distance between each pair of vertices. For example, the distance between A and B is:

distance = \(\sqrt{\) \(((-8 - (-1))^2\) + \((11 - (-13))^2\))

distance = \(\sqrt{\) (\(7^2\) + \(24^2\))

distance = \(\sqrt{\) (625) = 25

The distance between each other pair of vertices is also 25, so all four sides of the rhombus have the same length.

We can also see that all four angles of the rhombus are right angles by calculating the angles between each pair of adjacent sides. For example, the angle between sides AB and BC is:

angle = arctan((13 - (-13))/(-8 - (-1)))

angle = arctan(26/7)

angle = 78.6°

The angle between each other pair of adjacent sides is also 78.6°, so all four angles of the rhombus are right angles.

Therefore, rhombus ABCD is a square.

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Answer:

  502.3

Step-by-step explanation:

You want the solution to the equation ...

  (p +2.3)/5.8 = 87

This equation can be solved in two steps:

1) multiply both sides by 5.8:

  p +2.3 = (5.8)(87)

2) subtract 2.3:

  p = (5.8)(87) - 2.3 = 502.3

The value of p is 502.3.

__

Additional comment

The basic idea in solving equations is to undo what is done to the variable. The "undo" operation is the inverse operation. Addition is undone by subtraction (and vice versa); division is undone by multiplication (and vice versa).

The Order of Operations can give you a clue as to the operations and the sequence required. When you evaluate the expression with the varialbe, here you add 2.3, then divide the sum by 5.8.

These operations are undone in reverse order: first you multiply by 5.8, then you subtract 2.3.

Sometimes, you need to simplify the equation (remove parentheses and combine like terms, for example) before you start. Sometimes you don't.

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Answer:

x = 24°

Step-by-step explanation:

Using 180-degree formula, we can find x.

=> 84 + 4x = 180°

=> 4x = 180 - 84

=> 4x = 96

=> 24°

Therefore, x = 24°

Hoped this helped.

Answer:

\( {\boxed {\sf{x = 24 \degree}}}\)

Step-by-step explanation:

In the given figure we have two consecutive interior angles.

We know that each pair of consecutive interior angles is supplementary.

So,

Therefore, x = 24°

Answer:

The answer should be 120

Step-by-step explanation: hope this helps

Answer:

See attachment for graph

Step-by-step explanation:

Given

\((x_1,y_1) = (1,-9)\) -- point

\(x = -3\) --- slope

Required

Plot the graph

First, we determine the equatio using:

\(y = m(x - x_1) + y_1\)

This gives:

\(y = -3*(x - 1) -9\)

Open bracket

\(y = -3x + 3 -9\)

\(y = -3x -6\)

See attachment for graph

I'm going to say (6,3)

Answer:

and I will give you brainiliest ​

Step-by-step explanation:

you said this was the answer... sooo.... please give me brainliest :)

Answer:

C

Step-by-step explanation:

Rbrberbrb

Answer: Its c

=- 1 1/4

The function that has the same y-intercept as the function f(x)=|x-2| + 3 is g(x) =|x| + 5

The function is given as:

f(x)=|x-2| + 3

Set x to 0 to determine the y-intercept

f(0)=|0-2| + 3

Expand

f(0) = 2 + 3

Evaluate

f(0) = 5

From the options, we have

g(x) =|x| + 5

This gives

g(0) =|0| + 5

Evaluate

g(0) = 5

Hence, the function that has the same y-intercept as the function f(x)=|x-2| + 3 is g(x) =|x| + 5

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Answer:

Step-by-step explanation:

I think its B, (30)

The probability of selecting a figure is 3/13, or 0.23, or 23%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

In a standard deck of 52 playing cards, there are 12 face cards.

These faces are known as figures.

This includes the Jacks, Queens, and Kings in each of the four suits.

Now,

The probability of selecting a face card from a standard deck of 52 playing cards is.

The probability of selecting a face card

= number of face cards / total number of cards

= 12 / 52

= 3 / 13

= 0.23

= 0.23 x 100

= 23%

Thus,

The probability of selecting a figure from a standard deck of 52 playing cards is 3/13, or 0.23, or 23%.

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The complete question.

'What is the probability that the selected card is a figure

Answer:

True

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