pls help me . Eleven family members are going on a trip together. They have cars that fit only 4
people. How many cars will they need to take? help

Answer:

Step-by-step explanation:

Answer:

\(y=(x-7)^2-1\)

Step-by-step explanation:

We want to convert the equation:

\(\displaystyle y=x^2-14x+48\)

Into vertex form, given by:

\(\displaystyle y=a(x-h)^2+k\)

Where a is the leading coefficient and (h, k) is the vertex.

There are two methods of doing this. We can either: (1) use the vertex formulas or (2) complete the square.

Method 1) Vertex Formulas

Let's use the vertex formulas. First, note that the leading coefficient a of our equation is 1.

Recall that the vertex is given by:

\(\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)\)

In this case, a = 1, b = -14, and c = 48. Find the x-coordinate of the vertex:

\(\displaystyle x=-\frac{(-14)}{2(1)}=7\)

To find the y-coordinate, substitute this value back into the equation. Hence:

\(y=(7)^2-14(7)+48=-1\)

Therefore, our vertex (h, k) is (7, -1), where h = 7 and k = -1.

And since we already determined a = 1, our equation in vertex form is:

\(\displaystyle y=(x-7)^2-1\)

Method 2) Completing the Square

We can also complete the square to acquire the vertex form. We have:

\(y=x^2-14x+48\)

Factor out the leading coefficient from the first two terms. Since the leading coefficient is one in this case, we do not need to do anything significant:

\(y=(x^2-14x)+48\)

Now, we half b and square it. The value of b in this case is -14. Half of -14 is -7 and its square is 49.

We will add this value inside the parentheses. Since we added 49 inside the parentheses, we will also subtract 49 outside to retain the equality of the equation. Hence:

\(y=(x^2-14x+49)+48-49\)

Factor using the perfect square trinomial and simplify:

\(y=(x-7)^2-1\)

We acquire the same solution as before, with the vertex being (7, -1).

On solving the provided question we can say that - The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.

The order of rotational symmetry is the maximum number of rotations that a geometry may fit in. 360°A°, where A° is the smallest angle by which a figure may be rotated from its rotated shape to match its original shape, represents the degree of rotational symmetry. (180 degrees) A shape's degree of rotational symmetry is determined by how many times a perfect circle may be turned while maintaining its appearance. Only when a triangle is back in its original beginning position will a full 360° revolution appear the same.

If a geometric figure maps onto itself when rotated around an angle at its center, it possesses rotational symmetry.The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.

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The equation of line is y = -50x + 150

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Points:(1, 100) (2, 50) (4, 25), (5, 20)

so, the slope is

= (50-100)/ (2-1)

= -50 /1

= -50

using slope intercept form

y - 100 = m (x- 1)

y- 100 = -50(x-1)

y- 100 = -50x + 50

y = -50x + 50 + 100

y = -50x + 150

Hence, the equation of line is y = -50x + 150.

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The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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Answer:

12.4

Step-by-step explanation:

i did this

Answer:

3/20

Step-by-step explanation:

1/10=2/20

2/10=4/20

Answer:

hddhbd b v c c GG ffdrgbmnkhu

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

does she hand out 2 pieces to everyone?

Step-by-step explanation:

but uh is handed out 2 pieces to everyone including herself and she only ate 1 then she has 2 still in the box and 1 on her plate making 3. so i guess she has 3 pieces left?

Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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Answer:

Area = 38.1 ft² (nearest tenth)

Step-by-step explanation:

Use sine rule for area of a triangle:

Area = (1/2)ab sin(C)

        = (1/2)bc sin(A)

        = (1/2) x 11 x 8 x sin(60)

        = 22√3

        = 38.1 ft² (nearest tenth)

The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

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Answer:

The winning canditate wins 550 voters

Step-by-step explanation:

0.55 * 1000 is 550

It should be noted that to discover the required sample size for an x-bar chart, you must first determine the values of the upper and lower control limit (UCL & LCL) based on the process descriptions and the desired level of restriction.

The equations for UCL and LCL are:

UCL = x + A2R

LCL = x - A2R

Where x denotes the average of the mean samples, R represents the ambit of the means, and A2 stands for a constant value rooted in the amount of the sample..

Utilizing these values, then one can apply the formulas of UCL & LCL to solve for the constant A2,  which is utilized to calculate the boundaries of the chart.

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Answer:

x = 9/4 y = 15/4

Step-by-step explanation:

Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

The given limit is 0.

To solve the given limit, we can recognize the sum as a Riemann sum and convert it into an integral.

The given sum can be rewritten as:

\(\lim_{n \to \infty} \sum_{i=1}^{n} \frac{3}{n} \sqrt{1+\frac{3i}{n}}\)

Let's rewrite it in terms of integration:

\(\lim_{n \to \infty} \frac{3}{n} \sum_{i=1}^{n} \sqrt{1+\frac{3i}{n}}\)

Since we are taking the limit as n approaches infinity, we can approximate the sum as an integral.

The integral that corresponds to the given sum is:

\(\lim_{n \to \infty} \frac{3}{n} \sum_{i=1}^{n} \sqrt{1+\frac{3i}{n}} \approx \lim_{n \to \infty} \frac{3}{n} \int_{0}^{1} \sqrt{1+3x} ,dx\)

To solve this integral, we can use a change of variables.

Let u = 1 + 3x, then du = 3dx.

The integral becomes:

\(\lim_{n \to \infty} \frac{3}{n} \int_{0}^{1} \sqrt{1+3x} ,dx = \lim_{n \to \infty} \frac{1}{n} \int_{1}^{4} \sqrt{u} ,du\)

Integrating \(\sqrt{u}\), we get,

\(\lim_{n \to \infty} \frac{1}{n} \int_{1}^{4} \sqrt{u} ,du = \lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} u^{3/2}\right]_{1}^{4}\)

Substituting the limits, we have:

\(\lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} (4)^{3/2} - \frac{2}{3} (1)^{3/2}\right]\)

Simplifying further:

\(\lim_{n \to \infty} \frac{1}{n} \left[\frac{2}{3} (8 - 2)\right] = \lim_{n \to \infty} \frac{1}{n} \left[\frac{12}{3}\right] = \lim_{n \to \infty} \frac{4}{n} = 0\)

Therefore, the given limit is 0.

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The difference between hard rationing and soft rationing is that the Soft rationing is from the company's own policies on how to use their capital while Hard capital rationing is as a result of the restraints on a company from the outside entities.

Hard capital rationing  can be described as the restraints  that is been put on the company  and usually done by the outside entities and some of the entities that usually carry this out are the banks  as well as lenders.

On the other hand, the Soft capital rationing  do come from the  company's own policies with rspect to the use of the capital.

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Answer:

hello, yes or nou sorry jajaj

Answer:

The answer is 53.

Step-by-step explanation:

Answer:

the answer is 53 I checked it on photemath1

Step-by-step explanation:

5 x − 7 = 8 5x-7=8 5x−7=8. Add 7 to both sides. Simplify 8 + 7 8+7 8+7 to 1 5 15 15.

Answer:

x=1

Step-by-step explanation:

5x-7=-10x+8

--15=-15x

1=x

Answer:

3 1/3

Step-by-Step

first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3

Answer:

10/3

Step-by-step explanation:

That's 1 1/3 times 2 1/2.

Converting these into improper fractions, we get 4/3 times 5/2.

Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3

Answer:

cant answer i dont know what pauls wight loss is

Step-by-step explanation:

Solution:

Consider the following equations:

Equation 1:

Equation 2:

Equation 3:

Equation 4:

From equation 1, we get:

this is equivalent to:

this is equivalent to:

solving for A, we get:

then A = 3.

From equation 4, we get:

this is equivalent to:

this is equivalent to:

Thus A = 0.

But this is a contradiction since we had found that A =3. Then, the linear system has no solution (is incongruent).

The difference in salary will be $71,250.

What is multiplication in mathematics?

Multiplication is a mathematical operation that is used to find the product of two or more numbers. It is usually represented by the symbol "x" or "*", and is often referred to as repeated addition.

Career Preparation and Development (Career SMART Goals) worth 50 points.

Denise Diligence scored 95/100 on all of the assignments and reports, so she earned a total of 47.5 points.

Since each point earned will result in a $1500 increase in salary 20 years from now, Denise's salary will be $1500 x 47.5 = $71,250 higher than Slacker's.

Sam Slacker did not complete any of the career smart goals assignments and reports, so he earned a total of 0 points.

Hence, the difference in salary will be $71,250.

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Direct Variation is defined as the relationship between two variables in which one is a constant multiple of the other. The given example is a Direct variation.

Direct Variation is defined as the relationship between two variables in which one is a constant multiple of the other.

For example, when one variable affects the other, they are said to be in proportion. If b is directly proportional to a, the equation is of the form,

b = ka (where k is a constant).

Given that Courtney worked 20 hours last week and made $250. Therefore, the unit rate per hour for Courtney is,

Unit rate = Amount made by Courtney / Total time

               = $250 / 20 hours

               = $12.5 per hour

Also, given that this week Courtney worked 26 hours and made $325. Therefore, the unit rate per hour this week for Courtney is,

Unit rate for this week = Amount made by Courtney / Total time

                                     = $325 / 26 hours

                                     = $12.5 per hour

Since the unit rate is the same for both weeks, therefore, the given example is a Direct variation.

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Answer:

1) equation

2) equation

3) expression

4) expression

Step-by-step explanation:

An equation has a result, or something that equals to .

Numbers 1 and 2 have the word "is" which means equaled to, so they are equations. 3 and 4 don't, so they are only expressions.

Hope that helped :)

Step-by-step explanation:

Examples:

\(a+4;\ 3b;\ \dfrac{x}{4}-\text{these are the expressions}\\\\x=5;\ c+5=3c;\ p=q-\text{these are the equations}\)

\(1.\ n+4=12-\bold{the\ equation}\\\\2.\ 5\cdot n=50-\bold{the\ equation}\\\\3.\ C\cdot 7-\bold{the\ expression}\\\\4.\ 6\cdot(12+t)-\bold{the\ expression}\)

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

The two variable equations when solved for x in terms of y is given as the equation y = 3x/2, and option A is the correct answer.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

The given equation is:

2y - 3x = 0

Add 3x on both sides of the equation:

2y -3x + 3x = 3x

2y = 3x

Divide both sides of the equation with 2:

2y / 2 = 3x / 2

y = 3x/2

Hence, the two variable equations when solved for x in terms of y is given as y = 3x/2, and option A is the correct answer.

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The correct question is:

Simplify

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

4

√

17

Decimal Form:

16.49242250

Hope this helped

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