4y - 3 + 2y = 7y + 2

Answer:

x-¹⁰ is the correct answer dude

Answer:

= x^ 2 + x^ -12

= x^ 2 + (-12)

= x ^ -10

Answer:

2 6 12

Step-by-step explanation:

there are the only factor of 12 there

Answer:

Inequality: 4g + 70 < 90

Step-by-step explanation:

Given that:

Flat cost per month = $70

Cost per gigabyte = $4

Budget amount = under $90

As she wants to keep the budget under 90, then we will use less than sign to form the inequality.

Let,

g be the number of gigabytes.

4g + 70 < 90

Hence,

Inequality: 4g + 70 < 90

Answer:

g<5

Step-by-step explanation:

Have a good day :)

Answer: 28 cm.

Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2.  The work is done below:

b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.

5 + 9 x 4 / 2 = ?

Step 1 (Add): 5 + 9 = 14.

Step 2 (Multiply):  14 x 4 = 56.

Step 3 (Divide): 56 / 2 = 28.

Therefore, 28 cm is your answer.

Hope this helps! :)

Answer:

the answer is D i believe

Answer:

123 x h because you can't put them together but we can add the stuff that is already there so we get 123 and times h thats our answer

Answer:

$9.25

Step-by-step explanation:

2.75+ .5(13)

.50 (13)= 6.5

6.5 +2.75= 9.25

Answer:

Step-by-step explanation:

the last choice looks good

Answer: Its the bottom one i believe

Step-by-step explanation:

Domain slope stuff you don't want to hear have a good night :)

Answer:

BC ≈ 8.9 units

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos36° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{BC}{11}\) ( multiply both sides by 11 )

11 × cos36° = BC , then

BC ≈ 8.9 ( to the nearest tenth )

Answer:

8.9

Step-by-step explanation:

a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.

b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.

c. The value of the test statistic (z-score) is z ≈ 3.82.

d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).

In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.

a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.

b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.

c. The value of the test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 28

μ = 26

σ = 4

n = 34

Substituting the values into the formula:

z = (28 - 26) / (4 / √34) ≈ 3.82

d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).

e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.

The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.

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Answer:

D) The difference has 4 terms and a degree of 7.

Step-by-step explanation:

EDG2021

Answer:

2.857m/s^2

Step-by-step explanation:

Acceleration (a) is the change in velocity (v) over the change in time (t), represented by the equation a = v/t.

663.

i found out what 35% of 1020 is and then subtracted that by 1020.

Answer:

Which picture?

Step-by-step explanation:

Also I am guessing false but I don't see the picture

Ashley sold 180 glasses of lemonade for a total cost of $180, 90 little cups for $1, and 90 large cups for $2.

let x = quantity of sold miniature cups

Let y = the quantity of big cups sold.

She sold 180 cups in total for $180, so:

x + y = 180

1x + 2y = 180

figuring out the equations in a system:

x = 90   y = 90

Small cups of lemonade cost $1, and large cups cost $2, at Ashley's summertime lemonade stand. 180 cups of lemonade in all were sold for $180 by her. We can work up a system of equations to determine how many cups of each variety she sold.

let x = quantity of sold miniature cups

Let y = the quantity of big cups sold.

She sold 180 cups in total for $180, so:

x + y = 180

1x + 2y = 180

We arrive at x = 90 and y = 90 after solving the system of equations. In other words, Ashley sold 180 cups of lemonade for $180 by selling 90 small cups at $1 each and 90 large cups at $2 each.

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Answer:

128,340 words

Step-by-step explanation:

Answer:

2:7

Step-by-step explanation:

4 sea turtles:14 seals = 2 sea turtles:7seals

The correct answer for the probability that is calculated using math formulas is A. Theoretical Probability.

Theoretical Probability is calculated using mathematical formulas and principles. It involves analyzing the possible outcomes of an event or experiment based on a given set of assumptions or conditions. Theoretical Probability provides a mathematical prediction of the likelihood of an event occurring.

It is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Theoretical Probability is often used in theoretical or mathematical models and is derived from mathematical principles and calculations.

On the other hand, option C, Experimental Probability, is based on actual observations and data collected from experiments or real-world observations. It involves conducting experiments or observations to determine the probability of an event occurring.

Once again, the correct answer to the question is A. Theoretical Probability.

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Answer:

Sum of angles of a triangle is 180, so x + y + w = 180

Straight angle is 180 , so y + z = 180

From the first 2 conditions :

=>x + y +w = y + z

=> x + w = z  

Option 1, 2, 5

The equations which are true are given by,

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.

Here all interrior angles of triangle are x,y,w

So, x+y+w = 180

Hence first option is correct.

Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.

here exterrior angle is z and opposite two interrior of z are x,w

So, w+x = z

Hence last option is correct.

Again y+z = y+w+x

so second option is also true.

Hence correct options or equations are given by:

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Answer:

This is not a function

Step-by-step explanation:

There are multiple x coordinates so if you put this on a graph then try to do the vertical line test it will fail resulting in this not being a function.

Answer:

volume= 251.327 cubic inches

Answer:

where are the functions below? or should they be equated? like f(x) with the g(x)??

Possible Answers:

30 Square feet                  ⭐⭐⭐⭐⭐

10 Square Yards                ⭐⭐⭐⭐⭐

12960 square inches        ⭐⭐

8.36127 square meters     ⭐

Answer:

x = 19.48 or 19 12/25

Step-by-step explanation:

cos 41° = 14.7/x

x = 19.48 or 19 12/25

A. N, B ≥ 0 (non-negativity constraint)

B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

C.  You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(a)

The linear programming model to find the best investment strategy for this client can be formulated as follows:

Maximize: 0.09N + 0.08B

Subject to:

N + B ≤ 85 (maximum investment of $85,000)

N ≤ 55 (maximum investment of $55,000 in the internet fund)

6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)

N, B ≥ 0 (non-negativity constraint)

(b)

To solve the problem using Excel Solver, you can set up the following spreadsheet model:

Cell A1: N (amount invested in the internet fund)

Cell B1: B (amount invested in the Blue Chip fund)

Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)

Constraints:

Cell A2: ≤ 85

Cell B2: ≤ 85

Cell C2: ≤ 55

Cell D2: ≤ 410

The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.

Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.

The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

(b)

For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 450

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(d)

For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 320

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

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Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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The probability of spinning yellow, tossing heads, and selecting the number 2 is approximately 0.083325 or 8.33%.

To find the probability of spinning yellow, tossing heads, and selecting the number 2, we need to calculate the individual probabilities of each event and then multiply them together.

Given:

Spinner with three equal size sections (red, green, yellow)

Coin toss with two outcomes (heads, tails)

Two cards labeled with 1 and 2

Firstly calculate the probability of spinning yellow:

Since the spinner has three equal size sections, the probability of spinning yellow is 1/3 or 0.3333.

Secondly calculate the probability of tossing heads:

Since the coin has two possible outcomes, the probability of tossing heads is 1/2 or 0.5.

Thirdly calculate the probability of selecting the number 2:

Since there are two cards labeled with 1 and 2, the probability of selecting the number 2 is 1/2 or 0.5.

Lastly multiply the probabilities together:

To find the probability of all three events occurring, we multiply the individual probabilities:

Probability = (Probability of spinning yellow) * (Probability of tossing heads) * (Probability of selecting the number 2)

Probability = 0.3333 * 0.5 * 0.5

Probability = 0.083325

Therefore, the probability of spinning yellow, tossing heads, and selecting the number 2 is approximately 0.083325 or 8.33%.

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Answer:

AB = 4

\(m\angle E=30^\circ\)

Step-by-step explanation:

Similar shapes

Two figures are similar if the ratios of the lengths of their corresponding sides are equal. The corresponding angles are also congruent.

Being ABCD and EFGH similar, the ratio of the lengths of AB and EF is equal to the ratio of the lengths of AD and EH, thus:

\(\displaystyle \frac{AB}{EF}=\frac{AD}{EH}\)

Solving for AB:

\(\displaystyle AB=\frac{AD}{EH}\cdot EF\)

Since AD=6, EH=1.5, and EF=1:

\(\displaystyle AB=\frac{6}{1.5}\cdot 1\)

AB = 4

Since angle A is congruent to angle E:

\(m\angle E=m\angle A\)

\(\mathbf{m\angle E=30^\circ}\)