please help......,..​

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

Answer:

Your answer would be A and B

Step-by-step explanation:

Simply look for the coordinates on the graph and look for the name of the lines that intersect there.

Answer:

She can invite 66 people so 66 x 5 = $330 + 120 = $450

Step-by-step explanation:

The vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3)

Here,

To find the image of the triangle vertices reflected across the line y = x, we need to swap the x-coordinates with the y-coordinates.

Original vertices of the triangle:

P(-7, -1)

Q(-7, -8)

R(3, -3)

Now, swap the x and y coordinates to get the reflected image:

Reflected image vertices:

P'( -1, -7)

Q'( -8, -7)

R'( -3, 3)

So, the vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3).

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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Answer:

B

Step-by-step explanation:

Answer:



Root 

Step-by-step explanation:

Answer:

The distance between (2,8) and (-6,-2)

is √100+64

Step-by-step explanation:

Here a= 8400

b =3²=9

H(t) =(8400 (9^t)

Answer:

3r^2 /2

Step-by-step explanation:

r^3 cancels out r in the denominator remaining with r^2 in the numerator.

so 3r^2/2

= 3r^2 /2

Answer:

solving the expression \(\frac{3r^3}{2r}\) we get \(\mathbf{\frac{3}{2}r^2}\)

Step-by-step explanation:

We need to solve the expression: \(\frac{3r^3}{2r}\)

For solving exponents in the fraction we can use the exponent rule:\(\frac{a^m}{a^n}=a^{m-n}\)

Applying the above rule and solving:

\(\frac{3r^3}{2r}\\=\frac{3}{2}r^{3-1}\\\\=\frac{3}{2}r^2\)

So, solving the expression \(\frac{3r^3}{2r}\) we get \(\mathbf{\frac{3}{2}r^2}\)

Therefore , the solution of the given problem of rectangle comes out to be  2.1 square inches of plastic wrap are required to completely cover the cylindrical candy container,

In the Euclidean plane, a rectangle is just a cube with quadrant perpendicular sides. It is sometimes referred to as an equiangular trapezoid or a rectangle with equal sides. The trapezoid could also have a border that is straight. Four of the sides of a square are equal in length. Rectangular quadrilaterals have four identical sides, but four 90° edges. Its name is occasionally "rectangular trapezoid" as a result.

Here,

.Each circle's circumference can be determined using the following formula:

Hence, each circle's circumference is:

=> Circumference = 2 times 0.7, or 1.4.

Hence, the cylinder's lateral area is

Height times circumference equals a lateral area of

=> 0.8 x 1.4 = 1.12 square inches.

Each circle's surface area is:

Circumference divided by radius squared equals 0.49 square inches.

Hence, the combined area of the two circles is:

=> Total area of circles = 2 x Area of circles,

which is

=>  2 x 0.49, or 0.98 square inches.

Including the area and the lateral area

Overall plastic wrap area equals lateral area plus total area of circles, which comes to

=> 1.12π + 0.98π

=> 2.1π square inches

Consequently, 2.1 square inches of plastic wrap are required to completely cover the cylindrical candy container, which corresponds to response option A.

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Answer:

Min: 1

Q1: 2
Median: 7
Q3: 9
Max: 11.5

Step-by-step explanation:

The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.

The first bar represents the minimum, which in this case is 1.

The second bar represents the first quartile (Q1), which in this case is 2.

The third bar represents the median, which in this case is 7.

The fourth bar represents the third quartile (Q3), which in this case is 9.

And the fifth bar represents the maximum, which in this case is 11.5.

Answer:

Min: 1

Q1: 2

Median: 7

Q3: 9

Max: 11.5

Step-by-step explanation:

I hope it helps:)

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

BC = 21 cm

Step-by-step explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

      \(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)

     \(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)

The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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Answer:

$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though

Step-by-step explanation:

You would divide 3.05 by itself to get one pound

and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.

3.87÷3.05=1.268852459

Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.

As a result, the company produced number of rods are **56** rods.

What exactly is radius?

A radius is a section of a straight line in geometry that connects a circle's or sphere's center to its edge or surface Its length is divided by the circle's diameter by two.

Each rod has a diameter of 6 centimeters, hence the radius is 3 centimeters. Each rod has a 20-centimeter height.

The following formula can be used to determine a cylinder's volume:

V = πr²h

where V stands for volume, r for radius, which is equal to half of the diameter, and h for height.

Adding these values to the formula yields the following results:

V = π(3)²(20) (20)

V = 180π

The volume of each rod is therefore 180 cubic centimeters.

30520.8 cubic centimeters of steel were used to make how many rods?

To find out,

divide the total volume of steel by the volume of each rod:

30520.8 / (180π) ≈ **56** rods

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Answer:

  37.4 ft^2

Step-by-step explanation:

The area of the parallelogram is given by ...

  A = bh = (8 ft)(7 ft) = 56 ft^2

The area of the right triangle is given by ...

  A = (1/2)bh = (1/2)(3 ft)(4 ft) = 6 ft^2

The area of the circle is given by ...

  A = πr^2 = π(2 ft)^2 = 4π ft^2 ≈ 12.6 ft^2

__

The shaded area is the area of the parallelogram less the areas of the unshaded triangle and circle:

  (56 ft^2) -(6 ft^2) -(12.6 ft^2) = 37.4 ft^2 . . . . shaded area

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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Answer:

The student's work is incorrect because the student didn't distribute all through with -6.

Step-by-step explanation:

Let us expand the given expression to see whether the student made a mistake or not, and where the mistake was made, if there was any.

\( -6(4x - \frac{2}{13}) \)

To expand, distribute -6

\( -6(4x) - 6(-\frac{2}{13}) \) (check the work of the student at this step. This is where the student made a mistake. The student used +6 to multiply the 2nd term in the bracket instead of -6)

\( -24x + \frac{12}{13}) \) (negative multiply by negative equals positive).

The work of the student is incorrect because the student didn't distribute -6 all through. The student used -6 for the first term, and also used +6 for the second term in the parentheses.

Answer:

x= 1/2

Step-by-step explanation:

13x+7 and 9x+9 with x inserted in both equal 13.5

(if the equation was 13x+7=9x+9)

Answer:

C.

Step-by-step explanation:

We have

13 minutes ---> 5 essays

x minutes ----> 25 essays

Then:

Answer: he need 65 minutes

The value of "a" that makes the set of vectors independent is 1.

In 3-dimensional space, a set of vectors is said to be independent if any one of the vectors cannot be represented as a linear combination of the other vectors.

We may utilize the idea of determinants to determine the value of "a" such that the set of vectors "(1, 0, -2), (3, 2, a), (-3, -5, 1)" is independent.

The linear dependence or independence of the given vectors can be assessed using the determinant of a 3x3 matrix, whose columns are the given vectors. If the vectors are linearly dependent, the determinant will be 0; if they are independent, it will be non-zero.

The determinant can be calculated as follows:

| 1 0 -2 |

| 3 2 a |

| -3 -5 1 | = 0

Expanding the determinant along the first row, we get:

1 * ((2 * 1) - (a * -5)) - 0 * ((-3 * 1) - (-2 * -5)) + (-2 * (2 * -3 - a * -3)) = 0

2 - 5a - 6 + 10 + 6a = 0

Expanding the equation and solving for a, we get:

8a = 8

a = 1

Thus, the set of vectors {(1, 0, -2), (3, 2, 1), (-3, -5, 1)} is independent.

So, the value of "a" that makes the set of vectors independent is 1.

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Answer:

Your answer is -1/5

Step-by-step explanation:

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Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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