What is the slope of the line 5y = 2x - 15?

The factor of the given expression 12x^3 - 2x² + 18x-3 is as follows (6x-1)(2x²+3).

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

12x^3 - 2x² + 18x-3

= 2x²(6x-1) + 3(6x-1)

= (6x-1)(2x²+3)

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Answer:

A.

Step-by-step explanation:

To subtract mixed numbers with different denominators, follow these steps:

1. Rename the fractions using a common denominator.

2. Subtract whole numbers from whole numbers. You might need to regroup first.

3. Subtract fractions from fractions.

4. Simplify, if needed.

Let's try it with [tex]2\frac{3}{5}-1\frac{1}{4}[/tex]

First, rename the fractions using a common denominator. The least common denominator of these fractions is 20. Multiply to make equivalent fractions with 20 as the denominator.

[tex]\frac{3x4}{5x4}=\frac{12}{20}[/tex]        [tex]\frac{1x5}{4x5}=\frac{5}{20}[/tex]

Rewrite the problem and subtract the whole numbers.

[tex]2\frac{12}{20}-1\frac{5}{20}=1\frac{?}{?}[/tex]

Now, subtract the fractions. Subtract the numerators and keep the denominator the same.

[tex]2\frac{12}{20}-1\frac{5}{20}=1\frac{7}{20}[/tex]

This answer is already in its simplest form, so there is no need to simplify it.

Answer:

24

Step-by-step explanation:

[tex]let \: the \: length \: of \: \: the \: third \: side \: = y \\ using \: pythaoras \: theorem \: \\ 30 {}^{2} = y { }^{2} + 18 {}^{2} \\ y {}^{2} = 30 {}^{2} - 18 {}^{2} \\ y {}^{2} = 900 - 324 \\ y {}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \\ lenht \: of \: the \: third \: side = 24[/tex]

An equation is formed of two equal expressions. The missing pieces of the solution of the quadratic equation are 50, 3, and -8.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To fill the missing piece of the solution of the quadratic equation, you need to balance each of the equations. Therefore, the solution to the problem can be written as,

[tex]-32 = 2(x^2 + 10x)\\\\-32 + 50 = 2(x^2 + 10x + 25)\\\\18 = 2(x + 5)^2\\\\9 = (x + 5)2\\\\\pm 3= x + 5\\\\x = -2\ \ {\rm or}\ \ x = -8[/tex]

Thus, the solution of the quadratic equation is -2 or -8.

Hence, the missing pieces of the solution of the quadratic equation are 50, 3, and -8.

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Answer:

The answer is B and D :)

Step-by-step explanation:

It is b because the x value is getting bigger while the y value is getting smaller. :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Options B and D

Step-by-step explanation:

Step 1:  Determine what negative association is

Negative association basically means that the best-fit line for the scatter plot would be in a downwards slope which means that it has a negative association.  

In the given examples, Option A wouldn't work because we can see that the best-fit line would be going up which is a positive association.  Option B would work because we see the downward slope.  Option C wond't work for the same reason as Option A.  And finally Option D would work since we have a downward slope.

Answer:  Options B and D

The triangle is rotated about an axis then it creates a cone and the approximate circumference of the base is 63 mm. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The equilateral triangle shown is rotated about line a.

Each side of the triangle measures 20 mm.

If the triangle is rotated about an axis then it creates a cone.

Then the radius of the cone will be

[tex]\rm r = \dfrac{20}{2} = 10 \ mm[/tex]

Then the height of the cone will be

[tex]\rm h = 20 \sin 60^o\\\\h = 17.32 \ mm[/tex]

Then the circumference of the base circle will be given as

[tex]\rm Circumference = 2 \pi r\\\\Circumference = 2 \pi \times 10\\\\Circumference = 62.8318 \approx 63 \ mm[/tex]

More about the geometry link is given below.

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Answer:

C. A cone with a base circumference of about 63 mm !!!

Step-by-step explanation:

Correct on Edge2022 <3

Answer:

176.6 inches.

Step-by-step explanation:

15 is the diameter, so 15/2 is 7.5 which is the radius

A of a circle is 3.14 x r^2

7.5^2=56.25

56.25 x 3.14=176.625

rounded makes it 176.6

Answer:

x=102⁰

Step-by-step explanation:

180⁰-47⁰-31⁰=180⁰-78⁰=102⁰

Answer:

the answer is 450

Step-by-step explanation:

180 × 2= 360. but that only gives us 4 mins we need one more min. so we divide 180 by 2 and get 90. we add 90 to 360 and get an answer of 450

Answer:

1387.2 ft² (nearest tenth)

Step-by-step explanation:

Formulae

(where r is the radius of the circle)

The railing of the circular fountain is the circumference of a circle.

The area of the fountain is the area of a circle.

First, find the radius by using the circumference formula:

Given:

[tex]\implies 132=2 \pi r[/tex]

[tex]\implies r=\dfrac{132}{2 \pi}=\dfrac{66}{\pi}[/tex]

Now input the found value of r into the formula for the area of a circle:

[tex]\begin{aligned}\implies \textsf{Area} & =\pi \left(\dfrac{66}{\pi}\right)^2\\\\ & = \dfrac{4356}{\pi}\\\\ & = \dfrac{4356}{3.14}\\\\ & = 1387.261146...\\\\ & = 1387.3 \: \sf ft^2\:(nearest\:tenth)\end{aligned}[/tex]

Step-by-step explanation:

1/3×π×r^2×15=1570. r^2=1570×21/(22×15);r=10.00

Using the trigonometric ratios of sine, cosine and tangents will help solve navigate the maze.

Trigonometry is the study of the relationships between side lengths and angles of triangles.

The three main trigonometry functions are sine, cosine and tangent.

For right-angled triangles, the ratios of the three trigonometric functions are:

For the given maze, the missing measures are found using the angles and the side given.

For example:

tan 52 = 40/x

x = 40/tan 52 = 31.3

Therefor, using the trigonometric ratios will help solve navigate the maze.

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Answer:

Step-by-step explanation:

D) The student is not correct; a pair of adjacent angles must share a common vertex, share a side, and not overlap have to

Answer:

infinite solutions

Step-by-step explanation:

Hey there!

In order to solve this problem, we need to first distribute the [tex](x+4)(x-4)[/tex]

This is equal to [tex]x^2-16[/tex]

Now we can combine like terms

[tex]x^2[/tex] and [tex]-x^2[/tex] cancel out

also

[tex]16[/tex] and [tex]-16[/tex] cancel out

The equation ends up as 0 = 0

So the answer to this answer is infinite solutions

Answer:

c. outsourcing

Step-by-step explanation:

just didbthat

Answer:

b

Step-by-step explanation:

because it shows it talks about factor

Answer:

1,96

Step-by-step explanation:

= 3185 ÷ 1625

= 1,96

#off

#thankyou:))

Ahh, yes, the Pythagorean Theorem!

The Pythagorean Theorem is applied to right triangles. Only right triangles. So our answer would be B.

I hope this makes sense. I can continue to expand on this if you like.

-Toremi

The correct answer is option (B) Right triangle.

A triangle with one of its angles measuring 90° is known as a right triangle.

The Pythagorean theorem is applicable only to a right triangle.

The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs of the triangle.

Hence, the correct answer is option (B) Right triangle.

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Answer:

37.8579

This value is approximate and rounded to four decimal places

===============================================

Explanation:

The tangent function is being applied to some unknown angle x. To isolate x, we undo whatever tangent is doing. So we apply the inverse function. Specifically the inverse tangent function. This is also known as "arctangent" and your calculator most likely shows it as a button with a "-1" exponent above the "tan"

So apply the arctangent to both sides to get

tan(x) = 0.7773

arctan(tan(x)) = arctan(0.7773)

x = 37.8579

heres a diagram to help

Answer:

x = 8

y = 11

Step-by-step explanation:

Total small box weight  = 50x    [x being the number of small boxes]

Total large box weight = 80y     [y being the number of large boxes]      

Total boxes = x+y = 19

Total weight = 1280

Determine x and y.

You know 2 equations. One for weight and another for number of boxes each.

Rewrite second equation:

x+y=19

y=19-x

You have to plug in one into another.

1280 = 50x + 80(19-x)

Solve for x

1280 = 50x + 1520 - 80x

-240 = -30x

x = 8

Solve for y by plugging in x into one of the equations:

8+y = 19

y = 11

Answer:

-6 and -6

Step-by-step explanation:

[tex](-6)+(-6)=(-12)\\(-6)(-6)=36[/tex]

Adding a negative is the same as subtracting.

Multipling a negative by a negative is the same as multiply two even numbers. The negative signs cancel each other out.

6²-(8+8)

Hope it helps.

Do comment if you have any query.

Answer:

5 units cause that ordinates are same abssisae is different

Answer:

Writing 9/5 as a decimal using the division method. To convert any fraction to decimal form, we just need to divide its numerator by denominator. Here, the fraction is 9/5 which means we need to perform 9 ÷ 5. This gives the answer as 1.8.

Step-by-step explanation:

hope this helps if not let me know

Answer:

It is a square, Hannah is a G.

Step-by-step explanation:

You can plug it in for visual, see attachment. You can see that it is a bit rotated square.

But real proof should be done with the points.

For it to be square all sides need to equal each other.

What's the x distance of M and A?

It is 1-(-5) = 1+5 = 6

What is the x distance of H and T?

It is 0-(-6) = 0+6 = 6

What is the y distance of M and H?

It is 2-(-4) = 2+4 = 6

What is the y distance of A and T?

It is 3-(-3) = 3+3 = 6

All are 6 so all sides are equal so it is a square.

Answer:

So first, we figure out the maximum the patient could be taking each day: 2 tabs every 4 hours = 12 tabs per day at the most.

Answer:

The answer is 5% because its correct lol

Step-by-step explanation:

The most restrictive level of significance that would suggest the company should raise rates is a p-value less than or equal to 0.01.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

To determine if the increase in the average cost per claim is statistically significant, we can perform a hypothesis test.

Let's use a one-sample t-test, where:

Null hypothesis (H0): The average cost per claim is still $2,200.

Alternative hypothesis (Ha): The average cost per claim is greater than $2,200.

We can use a t-test because we have a sample mean, sample size, and population standard deviation.

The test statistic is calculated as:

t = (sample mean - hypothesized mean) / (standard deviation/√ (sample size))

Plugging in the values given, we get:

t = (2350 - 2200) / (500 / √(40))

t = 4.38

Using a t-table with degrees of freedom (df) = 39 (sample size - 1), we can find the p-value associated with this test statistic.

At the 0.01 level of significance (most restrictive level), the critical t-value is 2.704.

Since our calculated t-value is greater than the critical t-value, we reject the null hypothesis and conclude that there is evidence to suggest that the average cost per claim has increased.

Therefore,

The most restrictive level of significance that would suggest the company should raise rates is a p-value less than or equal to 0.01.

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Answer:

B) 40cm²

Step-by-step explanation:

4*8=32/2=16

8*6=48/2=24

16+24=40

(A= b*h/2)

Hope this helped

answer

22.5pages

example: 30÷4*3

Answer:

I am not sure but I think the answer is 34.28

Step-by-step explanation:

Sorry if that is the wrong answer

Hope this helped

Answer:

34.28 ft^2

Step-by-step explanation:

Area of rectangular portion  7 x 4 = 28

 area of semicircle with radius 2

     1/2   *  pi (2)^2

Added together = 34.28 ft^2