determine the value of x and y . Please help.​

Determine The Value Of X And Y . Please Help.

Answers

Answer 1

The value of x+y in the equation \(2^{x}*3^{y}/2^{4}*3^{2} =6\)  using the law of indices is 8

What is an index?

An index, or power, is the small floating number that appears after a number or letter. Indices show how many times a number or letter has been multiplied by itself.

To determine the value of x+y in the equation below, we use the law of indices.

Equation:

\(2^{x}*3^{y}/2^{4}*3^{2} =6\)

We rearrange the equation,

\(2^{x}/2^{4}*3^{y}/3^{2} =2*3\)

Then we apply the law of indices

\(2^{x-4}*3^{y-2} =2*3\)....................... Equation 1

Comparing both sides of equation 1 below

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

Equating the base

x-4 = 1x = 5

And,

y-2 = 1y = 3

Therefore, x+y = 5+3 = 8

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Related Questions

a recipe needs 1/4 tablespoon salt. this same recipe is made 5 time,es how much total is needed?

Answers

Answer:

1 and 1/4

Step-by-step explanation:

If you multiply 1/4 five times, you will get your answer

on 10.
Which inequality represents the phrase below?
a number less than 44
A. x > 44
نه نه
x < 44
C. x < 45
D.
X = 44

on 10.Which inequality represents the phrase below?a number less than 44A. x &gt; 44 x &lt; 44C. x &lt;

Answers

Answer:

B

Step-by-step explanation:

We're looking for a number (x) that's less than 44

We can represent it by simply using the less sign, so x < 44

write an inequality relating −2e−nn2 to 121n2 for ≥ n≥1. (express numbers in exact form. use symbolic notation and fractions where needed.)

Answers

The inequality relating −2\(e^{(-n/n^2)}\) to 121/\(n^2\) for n ≥ 1 is -2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\).

To derive the inequality, we start by comparing the expressions −2\(e^{(-n/n^2)}\)  and 121/\(n^2\).

Since we want to express the numbers in exact form, we keep them as they are.

The inequality states that −2\(e^{(-n/n^2)}\)  is less than or equal to 121/\(n^2\).

This means that the left-hand side is either less than or equal to the right-hand side.

The exponential function e^x is always positive, so −2\(e^{(-n/n^2)}\)  is negative or zero.

On the other hand, 121/\(n^2\) is positive for n ≥ 1.

Therefore, the inequality −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) holds true for n ≥ 1.

The negative or zero value of −2\(e^{(-n/n^2)}\)  ensures that it will be less than or equal to the positive value of 121/\(n^2\).

In symbolic notation, the inequality can be written as −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) for n ≥ 1.

This representation captures the relationship between the two expressions and establishes the condition that must be satisfied for the inequality to hold.

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lee had scored the following points in his first 8 games 12,14,14,15,8,10,3,15 enter the number of points lee needs to score in the nest game to increase his keam score to 13 points PLS ANSER FASTE

Answers

To find out the current total points that Lee has scored in his first 8 games, we need to add up all the points:

12 + 14 + 14 + 15 + 8 + 10 + 3 + 15 = 91

To increase his average score to 13 points, we need to find out how many points he needs to have a total of 9 games with an average score of 13.

To do this, we can use the formula:

(91 + x) / 9 = 13

where x is the number of points Lee needs to score in his next game.

Multiplying both sides by 9, we get:

91 + x = 117

Subtracting 91 from both sides, we get:

x = 26

Therefore, Lee needs to score 26 points in his next game to increase his average score to 13 points.

5. William owns 55 shirts, 40% of them are dress shirts. What number are dress shirts?

Answers

Given:

Number of shirts William own = 55 shirts

Percent that are dress shirts = 40%

Let's find the number that are dress shirts.

Given that 40% of the shirts Williams own are dress shirts, to find the number of dress shirts, apply the formula:

\(\begin{gathered} \text{Number of dress shirts = Percent that are dress shirts }\ast\text{ Number of shirts} \\ \\ \text{Number of dress shirts = 40\% }\ast\text{ 55 = }\frac{40}{100}\ast55=22 \end{gathered}\)

Therefore, the number of dress shirts are 22

ANSWER:

22

Second attempt at getting this answered Please check the attachment

Second attempt at getting this answered Please check the attachment

Answers

Answer:

Step-by-step explanation:

-18x+240 , the length of PA is 9x + 120 the length of AQ is 9x +120

The length of PQ is -18x+240

Factorize each of the following expressions

Factorize each of the following expressions

Answers

Answer:

h.) 9w^2(2-3w-4w^2).

I.) x^3(42x^3+36x+49).

k.) 5ab(5a+3b).

l.) 9mn(3n-1m).

n.) 7p^2q^3(2p^2q+p-3q).

This is my answer...I hope it helps you

Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?

Answers

Answer in scientific notation: 8.3x10^-3

0.5s+4a=15 as a graph?

Answers

Answer:

This is what I got

Step-by-step explanation:

0.5s+4a=15 as a graph?

It takes Fena Tailoring 3 hr of cutting and 6 hr of sewing to make a tiered silk organza bridal dress. It takes 6 hr of cutting and 3 hr of sewing to make a lace sheath bridal dress. The shop has at most 30 hr per week available for cutting and at most 33 hr per week for sewing. The profit is ?$330 on an organza dress and ?$190 on a lace dress. How many of each kind of bridal dress should be made each week in order to maximize? profit? What is the maximum? profit?

Answers

Answer :The maximum profit is $1,650 when making 5 organza dresses and no lace dresses per week.

Explanation:

Let x represent the number of organza dresses, and y represent the number of lace dresses.

The time constraint for cutting:
3x + 6y ≤ 30

The time constraint for sewing:
6x + 3y ≤ 33

The profit function to maximize is:
P(x, y) = 330x + 190y

Using these constraints,
3x + 6y ≤ 30
6x + 3y ≤ 33
x ≥ 0
y ≥ 0

Optimal solution:

The corner points of the feasible region are (0,0), (0,5), (3,3), and (5,0). Calculate the profit for each point:

P(0,0) = 0
P(0,5) = 950
P(3,3) = 1,320
P(5,0) = 1,650

The maximum profit is $1,650 when making 5 organza dresses and no lace dresses per week.

Find the length of the midsegment of the trapezoid.
M
MN
18
10

Find the length of the midsegment of the trapezoid.MMN 1810

Answers

The length of the midsegment of the trapezoid is 14 units

How to find the length of the midsegment of the trapezoid?

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.

The length of the midsegment of a trapezoid is half of the sum of the lengths of the two parallel sides. Thus:

The length of the midsegment MN = (18+10)/2 = 28/2 = 14 units

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erika, who is $14$ years old, flips a fair coin whose sides are labeled $10$ and $20$, and then she adds the number on the top of the flipped coin to the number she rolls on a standard die. what is the probability that the sum equals her age in years? express your answer as a common fraction.

Answers

According to the given statement The probability that the sum equals Erika's age in years is 2/12, which simplifies to 1/6.

To find the probability that the sum of the numbers equals Erika's age of 14, we need to consider all possible outcomes and calculate the favorable outcomes.
First, let's consider the possible outcomes for flipping the coin. Since the coin has sides labeled 10 and 20, there are 2 possibilities: getting a 10 or getting a 20.
Next, let's consider the possible outcomes for rolling the die. Since a standard die has numbers 1 to 6, there are 6 possibilities: rolling a 1, 2, 3, 4, 5, or 6.
To find the favorable outcomes, we need to determine the combinations that would result in a sum of 14.
If Erika gets a 10 on the coin flip, she would need to roll a 4 on the die to get a sum of 14 (10 + 4 = 14).
If Erika gets a 20 on the coin flip, she would need to roll an 8 on the die to get a sum of 14 (20 + 8 = 14).
So, there are 2 favorable outcomes out of the total possible outcomes of 2 (for the coin flip) multiplied by 6 (for the die roll), which gives us 12 possible outcomes.
Therefore, the probability that the sum equals Erika's age in years is 2/12, which simplifies to 1/6.

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PLEASE HELP!!

The diagram shows the cross-section ABCD of a sculpture in the shape of
a prism
with perpendicular height 9 cm.
AB = 14 cm, CD = 8cm, AD = 12cm and BC = 10cm
The height of the prism is also 9 cm.
What is the total surface area of the sculpture in cm2?
Type each step of your working on a separate line.

PLEASE HELP!!The diagram shows the cross-section ABCD of a sculpture in the shape ofa prismwith perpendicular

Answers

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99    (cm^2)

a machine that is programmed to package 1.60 pounds of cereal is being tested for its accuracy in a sample of 40 cereal boxes, the sample mean filling weight is calculated as 1.62 pounds. the population standard deviation is known to be 0.06 pounds. find the 95% confidence interval for the mean.

Answers

The 95% confidence interval for the mean is (1.6048, 1.6352).Hence, option (d) is the correct answer.

As given, a machine that is programmed to package 1.60 pounds of cereal is being tested for its accuracy in a sample of 40 cereal boxes, the sample mean filling weight is calculated as 1.62 pounds. The population standard deviation is known to be 0.06 pounds. We are required to find the 95% confidence interval for the mean. Here are the steps to solve this problem:

The formula to find the confidence interval is as follows;

Lower limit = x - zα/2 (σ/√n)

Upper limit = x + zα/2 (σ/√n)

Where,

x= sample mean

zα/2 = z-value of the level of significance

σ = population standard deviation

n = sample size

We are given;

x = 1.62 pounds

σ = 0.06 pounds

n = 40

We need to find the z-value of the level of significance, which can be found using the z-table or by using the calculator.Using the z-table, we get the z-value at 95% confidence interval as zα/2 = 1.96

Substituting the values, we get

Lower limit = 1.62 - 1.96(0.06/√40)

Upper limit = 1.62 + 1.96(0.06/√40)

Lower limit = 1.6048, Upper limit = 1.6352

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or A line passes through the points (1,1) and (2,7). Write its equation in slope-intercept form.

Answers

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{1}}} \implies \cfrac{ 6 }{ 1 } \implies 6\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 6}(x-\stackrel{x_1}{1}) \\\\\\ y-1=6x-6\implies {\Large \begin{array}{llll} y=6x-5 \end{array}}\)

Solve the following system of equations using substitution (Enter your answer as an ordered pair, including the parentheses and comma.)
-3x+6y=12
2y=x+4

Answers

The system of equations has infinite solutions, both equations represent the same line.

How to solve the system of equations?

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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SOMEONE HELP!!! AHHHH!!!

SOMEONE HELP!!! AHHHH!!!

Answers

Hey there! :)

Answer:

The first option:

Y-intercept: 9

Zeros: 1, -1, 3, -3

Step-by-step explanation:

The Y-intercept is where the graph intersects with the y-axis. On this graph, we can see that the graph intersects at y = 9.

The zeros of the graph are where the graph intersects the x-axis. When looking at the graph, the x-axis is intersected at x = -3, x = -1, x = 1, and x = 3.

Therefore, A, or the first option, is the correct answer.

Answer:

y : 9

Step-by-step explanation:

Students were given a sensation-seeking test and then divided into two groups based on their scores. A researcher observed how many times students in each group got out of their seats over the course of 2 hours. The dependent variable is:

Answers

The dependent variable in this study is the number of times the students got out of their seats over the course of 2 hours.

The independent variable is the variable that is being manipulated or controlled by the researcher.

It is the variable that is expected to cause a change in the dependent variable which is the variable being measured as the outcome or response to the manipulation of the independent variable.

In the given scenario, the independent variable is the group assignment based on the scores on the sensation-seeking test.

The researcher has divided the students into two groups based on their scores, and this grouping is being used as a way of manipulating or controlling the students' level of sensation-seeking behavior.

The researcher is interested in how this manipulation affects the students' behavior in terms of getting out of their seats.

The dependent variable is the number of times the students got out of their seats over the course of 2 hours.

This variable is expected to vary depending on the level of the independent variable, which is the group assignment based on the sensation-seeking test scores.

The researcher will measure the dependent variable for each group separately and then compare the results to determine if there is a significant difference between the two groups.

In summary,

The independent variable is the grouping of the students based on their scores on the sensation-seeking test and the dependent variable is the number of times the students got out of their seats over the course of 2 hours.

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what is the method and answer for brainliest

what is the method and answer for brainliest

Answers

Equal steps mean each number is the same distance from the previous one

From -2 to 28 is 28 units

There are 4 spaces between the numbers

28/4 = 7

Each number is in increase of 7

-2 + 7 = 5

5+7 = 12

12+7 = 19

19+7 = 26

The third number would be 12

Divide
f)(4b²+13b + 21) ÷(b+8)​

Answers

Here is ur answer. Hope it help
Dividef)(4b+13b + 21) (b+8)
There is the answer
Dividef)(4b+13b + 21) (b+8)

Find the value of x. Round to the
nearest tenth.
X
37
6
X=
Enter

Find the value of x. Round to thenearest tenth.X376X=Enter

Answers

Answer:

x ≈ 4.5

Steps:

tan(37°) = 0.75..

tan(37°) = x/6

x/6 = 0.75..

x = 0.75.. × 6

x = 4.52.. ≈ 4.5

Answer:

The answer is 4.5

Step-by-step explanation:

x =4.5

Fill in 4.5

Which equation is a linear function?
A) y=-3x2 - 5x+3
B) y=5.2x-3
C) -5y+ 3x = 7
D) y = -5√x + 11

Answers

Answer:

A.

Step-by-step explanation:

D: there is no square root

for both C and B there is no decimal.

A should end up being y=-8x+5 which is in y=mx+b form

Which algebraic expression is equivalent to the expression below?
3(5x + 7) - 6(4 - 25)

Answers

Answer:

15x+21-24+150

15×+147

Answer:

15x + 147

Step-by-step explanation:

The given algebraic expression to us is ,

⇒ 3(5x + 7) - 6(4 - 25 )

On opening the brackets ,

⇒ 15x + 21 - 24 + 150

15x + 147

What is the additive inverse of the complex number 13 â€"" 2i? â€""13 â€"" 2i â€""13 2i 13 â€"" 2i 13 2i

Answers

The additive inverse of the mentioned complex number is -13 + 2i.

The additive inverse of any number is defined as the number, which on addition to the original number, gives the sum zero. In order to make possible this situation, the additive inverse will have opposite signs for each value.

In the question, 13 has positive sign and 2i has negative sign. To cancel them out, the additive inverse will be 13 with negative sign and 2i with positive sign. Thus, third option is correct additive inverse.

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The complete question is -

what is the additive inverse of the complex number 13 - 2i?

-13 - 2i

-13 + 2i

13 - 2i

13 + 2i

the original price of p of an item less a discount of 50%

Answers

A discount of 20% multiplies the number by 1-.20=.8, so the price is going to be .8p.

Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)

Answers

Answer:

M(13, 14)

-------------------------

Each coordinate of the midpoint is the average of endpoints:

x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14

Therefore M is (13, 14).

The variable, y, varies directly with x. If y =14 when x=13, what is y when x=60?

Answers

Answer:

64.6.... something

Step-by-step explanation:

1. Number of observations:
2. Degrees of freedom Regression:
3. Degrees of freedom Residual:
4. Calculate SSR:
5. Calculate MSR:
6. Calculate MSE:
7. Calculate F-test:
8. Calculate F critical value us
1 2 3 A finance executive would lo to determine it a relationship exists between current ownings per snare (EPS) of a back and the following independent variables Total assets (bilion Previous periods

Answers

1. Number of observations: The number of observations refers to the total number of data points or cases in a dataset. It represents the size of the sample or population under consideration.

2. Degrees of freedom Regression: Degrees of freedom in regression analysis refer to the number of independent variables (predictors) in the regression model. It is calculated as the number of observations minus the number of predictors (including the intercept term).

3. Degrees of freedom Residual: Degrees of freedom residual (df_residual) is calculated as the number of observations minus the number of predictors plus one. It represents the number of data points that are free to vary after accounting for the regression model.

4. SSR (Sum of Squares Regression): SSR represents the sum of squared differences between the predicted values of the dependent variable (based on the regression model) and the mean of the dependent variable. It quantifies the variability explained by the regression model.

5. MSR (Mean Square Regression): MSR is calculated by dividing the SSR by the degrees of freedom regression. It represents the average amount of variability explained by each predictor in the regression model.

6. MSE (Mean Square Error): MSE is calculated by dividing the sum of squared residuals (SSR) by the degrees of freedom residual (df_residual). It represents the average amount of unexplained variability or error in the regression model.

7. F-test: The F-test is used to assess the overall significance of the regression model. It compares the variation explained by the model (SSR) to the unexplained variation (MSE). The F-test calculates the F-statistic, which follows an F-distribution. The F-statistic is compared to the critical F-value to determine if the regression model is statistically significant.

8. F critical value: The F critical value is the threshold value from the F-distribution at a given significance level (usually denoted by alpha). It is used to determine the critical region for rejecting or accepting the null hypothesis in the F-test. The specific F critical value depends on the degrees of freedom for the numerator (degrees of freedom regression) and the denominator (degrees of freedom residual) of the F-statistic.

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im stuck in this question

im stuck in this question

Answers

The total number of tickets sold between halls A and E is 480 tickets.

60% of 450 is 270 tickets in Hall A
60% of 350 is 210 tickets in Hall E
This makes for 480 combined tickets :)

There is a pie chart it’s just 60% of hall A and E i don’t think it’s possible to put 60 percent of a pie slice in a digital graph though
im stuck in this question

Amazon is offering deals on many popular items.
The same drone helicopter
is normally sold for $179.99, but on Cyber Monday, Amazon will be
selling it for $125.99. What is the percent change on the drone. (Round to the nearest percent )

Answers

I hope this can help
Amazon is offering deals on many popular items.The same drone helicopteris normally sold for $179.99,
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