What is the answer? I need help

Answer:

S

Step-by-step explanation:

SD

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

$36

Step-by-step explanation:

$48 × (100 - 25)% = $36

Step-by-step explanation:

Explanation: The distributive property tells us when there's a number outside a set of parenthses, you can multiply it times each of the terms that are inside the set of parenthses and then add those products together.

So in this problem, we can multiply 5(4) + 5(8)

which simplifies to 20 + 40 which equals 60.

Answer:

5(4) + 5(8)

Step-by-step explanation:

Just trust me :D

11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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Answer:

(x - 6) (x + 3)

Step-by-step explanation:

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Answer:

Step-by-step explanation:

The answer is 54.5 on edg

For the triangle shown on the right, the term cos is used to complete the statement and the value of x is 54.5 degree for the triangle.

In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.

\(\rm \cos=\dfrac{ adjacent}{hypotenuse}\)

Here, (a) is the adjacent side, (c) is the hypotenuse side and θ is the angle made between them.

The traingle is not provided in the image. Let the triangle for the given problem is similar to the attached image below.

Here the hypontenuse side is AC and adjacent side of triangle is 14.1 units. Thus by the property of right angle triangle,

\(\cos75=\dfrac{AB}{AC}\\\cos75=\dfrac{14.1}{x}\)

Now if we compare the above equation with the given statement __(75*)=14.1/x. The term cos is filled in the blank.

For the second part, we need to find the value of x. Thus solve the above equation further as,

\(\cos75=\dfrac{14.1}{x}\\x=\dfrac{14.1}{\cos75}\\x=\dfrac{14.1}{0.25882}\\x\approx54.5^o\)

Hence, For the triangle shown on the right, the term cos is used to complete the statement and the value of x is 54.5 degree for the triangle.

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Answer: The attachment isn't loading,

Step-by-step explanation: Try again / post the question again

The area οf the expanded map is 24 square inches, and its perimeter is 22 inches.

This is the bοundary οr cοntοur length οf a 2D geοmetric shape.

Depending οn their size, multiple shapes may have the same circumference. Fοr example, imagine a triangle made up οf wires οf length L.

The same wire can be used tο create a square if all sides are the same length.

The length cοvered by the perimeter οf the shape is called the perimeter. Therefοre, the units οf circumference are the same as the units οf length.

As we can say, the surrοundings are οne-dimensiοnal. As a result, yοu can measure in meters, kilοmeters, millimeters, etc.

Inches, feet, yards, and miles are οther glοbally recοgnized units οf circumference measurement.

P' = 2(3 in) + 2(8 in) = 6 in + 16 in = 22 in

and the area is:

A' = 3 in x 8 in = 24 in²

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After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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The members of a possible set C are {6, 9, 12}

The universal set is the set that contains all other sets. Given the following sets

ξ = {x:x is an integer, 2 ≤ x ≤ 14}

B = {x:x is a prime number}

A = {x:x is a multiple of 3}

The sets B and A are:

B = {2, 3, 5, 7, 11}

A = {3, 6, 9, 12}

If C is a subset of A with a cardinality of 3, hence the required set will be {6, 9, 12}. Note that 3 is excluded since B n C must be an empty set.

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Answer:

the number that is halfway between 250 and 300 is 275

Step-by-step explanation:

250+300= 550/2= 275

The number i,e halfway is 275.

\(= (250 + 300) \div 2\\\\= 550 \div 2\)

= 275

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Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

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If a shooter hits 23 out of 50 targets, that equates to a 46 percent or 46 percent success rate.

To express the fraction 23/50 as a percentage, we can use the formula:

Percent = (fraction * 100)

In this case, the fraction is 23/50 and we want to find that percentage.

Percentage = (23/50 * 100)

To simplify the calculation, we can divide both the numerator and denominator of the fraction by their greatest common divisor (GCD), which gives us the simplest form of the fraction. In this case, the MCD of 23 and 50 is 1, so the fraction is already in its simplest form.

Percentage = (23/50 * 100)

Percentage = (0.46 * 100)

Multiplying 0.46 by 100 gives:

Percent = 46

Therefore, the 23/50 percent entry is 46%.

That means  the shooter hit 46% of his targets at 125 yards last year. In summary, if a shooter hits 23 out of 50 targets, that equates to a  46% hit percentage or a 46% hit percentage.

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To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Answer:10 Safety razors

Step-by-step explanation:

27-12=15

15/1.50=10

Solution:

Given that the parent tan function m(x) is

From the given transformed graph of the function g(x),

The parent function equation is

And the graph is

Hence, the answer is option B

Answer:

Step-by-step explanation:

Information                                           number of triangles

sides of 20 cm, 5cm and 15 cm :        no triangle

angles 35, 35, and 110 degrees          many triangles

angles 50, 50, and 85 degrees          no triangle

sides of 7, 3 and 9                                one unique triangle

A maximum of one unique triangle is formed when the three sides of the triangle given are in the form that the sum of the two shortest sides will be greater than the third side

In the problem, for a triangle to be formed

15 cm + 5 cm > third side, here the sum is not greater hence no triangle

7 + 3 > third side, here the sum is greater than the third side hence a unique triangle is formed

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Answer:

the awnser is sqrt(-1) = i

Given:

The equations are given as,

Required:

Direct and inverse variation verification.

Explanation:

(a) The equations are given as follows:

On simplifying further,

The given equation is not a direct variation.

(b) The equation is given as,

The given equation represents inverse variation.

Answer:

Thus the required result is,

a) Not a direct variation

b) A direct variation( k = -2)

Given:

The principal value is P = 305,000.

The annual interest rate is r = 7.8%.

The time period is t = 5 years.

Explanation:

The formula of equally monthly installment is,

Here, n is number of months, P is principal value and t is monthly rate of interest.

Determine the number of months in 25 years.

The monthly interset rate is,

Substitute the values in the formula to determine the equation for equally monthly installments.

Option D is correct.

9514 1404 393

Answer:

  -3, 7, 8

Step-by-step explanation:

You can fill in the boxes from the table values as shown in the attachment.

The leading coefficient is negative because the parabola opens downward. The value of it is the change in y-value as x changes by 1 unit either side of the vertex.

The vertex is identified by the fact that the y-values are symmetrical either side of the vertex.

Answer:

-3, 7, 8

Step-by-step explanation:

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Answer:

D

Step-by-step explanation:

There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

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The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

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Answer:

5 7/15 = D

Step-by-step explanation:

Find a common denominator multiply the many times you did to the denominator to the numerator then subtract.

15 is your common denominator so I would multiply 5 to 2 to get 9 10/15 then I would multiply 3 to 1 to get 4 3/15

Answer:

5 7/15

Step-by-step explanation:

Let's solve your equation step by step.

We will solve it in just 3 simple steps.

Step 1: Converting into Improper Fraction.

Converting into an Improper Fraction is the only way to subtract fractions.

We will turn 9 2/3 into 29/3

First you need to know:

What is a numerator?

What is a denominator?

What is a whole number?

If you know, you can skip this part.

A denominator is the lower number below the line in a fraction. (ex. 2/3 <-- "3" is the denominator)

A numerator is the higher number above the line in a fraction. (ex. 2/3 <---"2" is the numerator)

A whole number is a number that has no fraction or decimal. (ex. "3" or "2" or "7".)

With that said, let's solve.

In 9 2/3, "9" is the whole number. "2" is the numerator, and "3" is the denominator.

We always multiply the whole number by the denominator, then we add the numerator.

So:

(9 x 3) + 2 = 29

Then, we keep the denominator the same. "3".

We then get:

29/3. Which is what we want.

Let's repeat the same steps with 4 1/5.

(4 x 5) + 1 = 21

Keep the denominator : 21/5

Now we are on Step 2.

We currently have 29/3 - 21/5

But we don't have the denominators the same.

We need to find the LCD (Least Common Denominator of 3 and 5.  

Since these numbers are less than 10, my trick is to just multiply them together. 3 x 5 = 15, simply put.

Now, let's change all the denominators to 15. Now let's change the numerators.

For the fraction that had 3 as the denominator, let's multiply 5 to it. And for the fraction that had 5 as the denominator, let's multiply 3 to it.

We then get :

145/15 - 63/15

We are now on Step 3.

This step is simple. Just subtract 145 - 63 because the denominators are the same.

145 - 63 = 82

We now have 82/15.

This is the answer, but we always need to simplify it.

How many times can 15 fit into 82? 5. But we have 7 left over.

So we now have :

5 7/15