Algebra For all values of x find a in terms of c. (Q 14)​

The equation is solved and the distributive property is used

Given data ,

a)

If you use the distributive property to solve the equation first, either addition or subtraction will need to be done last, depending on the equation. This is so that you may isolate the variable on one side of the equation or combine like terms after applying the distributive principle, which usually requires addition or subtraction as the last step.

b)

Instead, if you divide first to answer the problem, you would need to apply multiplication as the last operation. This is because, in order to "undo" the division operation and find the variable, you would need to multiply by the reciprocal of the value by which you had divided to isolate the variable. As the inverse operation of division, multiplication would be utilized as the last step in the equation's solution.

Hence , the equations are solved

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1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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Answer:

942.5 cm3

Step-by-step explanation:

Answer:

y + 1 = 6(x - 6)

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-1) / 5 - 6

-6/-1

= 6

y + 1 = 6(x - 6)

Answer:

Yes, it will overflow after 16 minutes..

Step-by-step explanation:

The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.

The Rational Root Theorem states that for a polynomial equation with integer coefficients to have a rational solution, that solution must be represented by the a factor of the constant (denoted by the variable p) divided by a factor of the leading coefficient (denoted by the variable q).

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The displacement of an object with velocity given by v(t) = -t² + 2 on the interval t = 0 to t = 2 is 2 feet.

The velocity of an object is v(t) = -t² + 2. Integrate the velocity function to get the displacement function,s(t) = ∫v(t) dtWe have to find the displacement of the object on the interval t = 0 to t = 2Therefore, the displacement of an object is given bys(2) - s(0)The displacement at t = 2 is:s(2) = ∫v(t) dt from 0 to 2= ∫ [ -t² + 2 ] dt from 0 to 2= [- (t³ / 3) + 2t ] from 0 to 2= [ - (2³ / 3) + 2(2) ] - [ - (0³ / 3) + 2(0) ]= -8/3 + 4= 4/3Therefore, the displacement of an object at t = 2 is 4/3 ft.The displacement at t = 0 is:s(0) = ∫v(t) dt from 0 to 0= 0Therefore, the displacement of an object at t = 0 is 0 ft.Therefore, the displacement of an object on the interval t = 0 to t = 2 is:s(2) - s(0)= 4/3 - 0= 4/3 ft.  

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Answer:

a rod is 16 1/2 feet long, so 13 x 16.5= 214.5 feet

Answer:

Yes, if it is a square or rectangle.

Step-by-step explanation:

The hypothesis test to determine if two teams have significantly different weights can be formulated as follows:

H0: The weights of team 1 (Team B) and team 2 (Team A) are not significantly different.

H1: The weights of team 1 (Team B) and team 2 (Team A) are significantly different.

To conduct this hypothesis test, we can use a two-sample t-test. This test allows us to compare the means of two independent samples, in this case, the weights of the two teams. The steps to solve this problem are as follows:

1. Collect the data: Obtain the weights of the players from both Team A and Team B.

2. Set up the hypotheses: State the null hypothesis (H0) and the alternative hypothesis (H1) as mentioned earlier.

3. Choose the significance level: Determine the desired level of significance (e.g., α = 0.05) to assess the strength of evidence against the null hypothesis.

4. Calculate the test statistic: Use the appropriate formula to calculate the t-test statistic, which measures the difference between the sample means relative to the variation within the samples.

5. Determine the critical region: Determine the critical value or the rejection region based on the chosen significance level and degrees of freedom.

6. Make a decision: Compare the test statistic to the critical value or rejection region. If the test statistic falls within the critical region, reject the null hypothesis. If it falls outside the critical region, fail to reject the null hypothesis.

7. Draw conclusions: Based on the decision made in the previous step, draw conclusions about the weights of the two teams. If the null hypothesis is rejected, it suggests that the weights of Team A and Team B are significantly different. If the null hypothesis is not rejected, there is not enough evidence to conclude a significant difference in weights between the two teams.

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Answer:

(7, 5.25)

Step-by-step explanation:

got it correct on edgeunity hope this helps ya

Answer:

its the second option on edge 2020

Step-by-step explanation: did the assignment

The correct equation to represent is 2x -5 = 15.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

let her sisters age be x.

=>sister .....x

according to question:

Sarah's age is five less than twice her sister's age

twice x=2x. then less than 5

=> (2x-5 )

if Sarah = 15 years

by substation, 2x-5=15

hence , the correct equation to represent is 2x -5 = 15.

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commutative property to an equivalent expression a× b is b×a

The commutative property applies to the mathematical operations of addition and multiplication. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or location of the numbers are changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9. The total is unaffected by the sequence in which two integers are added. The idea behind multiplication is the same. For subtraction and division, the commutative property does not apply since the outcomes are entirely different when the numbers are changed in order.

Given equivalent expression.

a×b

Commutative Property Formula

A × B = B × A

So, commutative property to an equivalent expression.

a × b =b × a

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Answer:

Option C is the right option.

solution,

X=10

Now,

\(4x + x \\ = 4 \times 10 + 10 \\ = 40 + 10 \\ = 50\)

Hope this helps...

Good luck on your assignment..

The value of the expression 4x+x for x=10 is 50.

An expression is a combination of numbers, variables, functions. In an expression addition, subtraction, multiplication and division can be used. It is like phrase in an language. An expression always cannot gives full meaning of anything.

The expression is 4x+x which we have to solve for x=10 So, put x=10 in the expression.

=4x+x

=4(10)+10

=40+10

=50

Hence the value of the expression 4x+x for x=10 is 50

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\(=\frac{1}{15} +2\\\)

⇒We can only add the numbers if they have the same denominator, to do so we can first convert 2 into a fraction

\(=\frac{1}{15} +\frac{2(15)}{1(15)} \\=\frac{1}{15} +\frac{30}{15} \\=\frac{31}{15} \\\)

The expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

To calculate the expected number of cards that are next to another card of the same value in a shuffled standard deck, we can consider the probability of each card being next to another card of the same value.

Let's break down the calculation:

For each card in the deck, there are two adjacent cards (one on each side) that can potentially be of the same value. However, the first and last cards only have one adjacent card each.

For the inner cards (excluding the first and last cards), there are three possibilities for each card:

The card is of the same value as the card to its left and the card to its right.

The card is of the same value as the card to its left but not the card to its right.

The card is of the same value as the card to its right but not the card to its left.

Since each card value appears on four cards in the deck, the probabilities for each of these three possibilities are:

Probability of both adjacent cards having the same value = (3/51) × (3/51) = 9/2601

Probability of only the left adjacent card having the same value = (3/51) × (48/51) = 144/2601

Probability of only the right adjacent card having the same value = (48/51) × (3/51) = 144/2601

Now, let's calculate the expected number of cards next to another card of the same value:

Expected number = (1/52) + (1/52) + (50/52) × (9/2601 + 144/2601 + 144/2601) + (1/52) = 441/2601 ≈ 0.1698

Therefore, the expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

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Answer:

cfc

Step-by-step explanation:

cfc

Answer:

3

Step-by-step explanation:

you suck

"All functions are relations but all relations are not functions."

Functions are the relation that classifies the set of outputs to the set of inputs. Moreover relation is identified as the group of ordered pairs.

A relation is a way of expressing a connection or relationship between any two pieces of information.

Thus, every relation is not a function.

Based on the IQR values, we conclude that Bus 18 is more consistent than Bus 47, as it has smaller IQR. This means the travel times of students on Bus 18 are more tightly clustered around the median, and are fewer outliers in data.

A line plot is a type of graph that displays data as points or dots along a number line. Each dot or point represents a single data value, and the number line shows the range of the data. Line plots are useful for displaying small to moderate-sized data sets and for identifying the central tendency and variability of the data.

To determine which bus is the most consistent, we need to look at the variability of data. The most appropriate measure of variability for this purpose is the interquartile range (IQR), which is the range of the middle 50% of the data.

From the given data, we can calculate the IQR for both buses as follows:

For Bus 18:

Lower quartile (Q1) = 8

Upper quartile (Q3) = 24

IQR = Q3 - Q1 = 24 - 8 = 16

For Bus 47:

Lower quartile (Q1) = 10

Upper quartile (Q3) = 34

IQR = Q3 - Q1 = 34 - 10 = 24

The range, which is the difference between the maximum and minimum values, is not as appropriate a measure of variability for this purpose, as it is heavily influenced by outliers. Therefore, we cannot use the range to determine the consistency of the data for either bus.

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Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario. The formula is given to be:

where f is the number of times the data occurred and n is the total number of observations.

We have the frequency of the individual groups as shown below:

The total number of observations is 19.

Therefore, the relative frequencies are calculated below:

ANSWER

T

hi

so the amount will be increased by  1 + 3/100 = 1.03

so multiply current balance by 1.03 and she will know balance in a year

Exponents that are positive go to the right. Exponents with negative signs shift to the decimal to the left. A result is stated in scientific notation when it is a power of ten multiplied by a number that is greater than or equal to one but less than ten.

One approach is to fully write out each number after it has been converted from scientific notation, then calculate the total of the two values and translate the result back into scientific notation.

Therefore, The 2, 4, 5, and final 0 in the number 0.2540 are all significant because they come after the decimal point and follow numbers. Scientific notation does not consider exponential digits to be significant; 1.12106 has three significant digits, 1, 1, and 2.

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Answer:

C

Step-by-step explanation:

Looking at the first point we know that it can't be A

Then we can easily see that the rate of change is not level (which means it isn't linear)

this leaves option C

Another way to solve this is just by plugging in points

for example for C

(4,15)

15=4^2-1

15=15

Answer:

it would be 17

Step-by-step explanation:

rounding just means adding 10

The temperature after 1 minute is 5, the t-coordinate of the fixed point to be equal to 1 is f(t) = 2t + 3 and the corresponding y-value is 5.

In a two-dimensional coordinate system, such as the Cartesian coordinate system, each point is represented by an ordered pair (x,y) where x represents the horizontal position and y represents the vertical position.

The problem statement asks us to find the temperature after 1 minute, which means we need to find the y-coordinate of the point on the graph that corresponds to t=1. In other words, we need to evaluate the function f at t=1 to find the corresponding y-value.

If the function f(t) is given by f(t) = 2t + 3, then the point corresponding to t=1 would have coordinates (1, 5), since f(1) = 2(1) + 3 = 5. Therefore, the corresponding y-value would be 5, which represents the temperature after 1 minute.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

I think it's 2:1

Step-by-step explanation:

if I'm wrong in sorry

Answer:

Step-by-step explanation:To rewrite 4/6 : 1/3 as a unit rate, we need to first find a common denominator for the fractions. The least common multiple of 6 and 3 is 6, so we can use this as the common denominator.

We can then rewrite the fractions as follows:

4/6 : 1/3 = (4/6) * (3/3) : (1/3) * (2/2)

Simplifying, we get:

2/3 : 2/3

This is a unit rate, with a value of 2/3.