What is the rate of change of the following equation? 2y + x = -2​

Answer:

47.52

Step-by-step explanation:

Answer:

IT is B

Step-by-step explanation:

edge duh

Option A is the correct answer.

firstly we need to understand what is null hypothesis.

Null hypothesis means the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

If the claim is null hypothesis and we fail to reject the null hypothesis then that means that there is not sufficient evidence to warrant rejection of the original claim.

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The above question is incomplete, the complete question is given below:

If your claim is in the null hypothesis and you fail to reject the null hypothesis, then your conclusion would be:

A)There is not sufficient evidence to warrant rejection of the original claim

B)The sample data support the original claim

C)There is not sufficient sample evidence to support the original claim

D)There is sufficient evidence to warrant rejection of the original cl

And the answer is option A.

The area of Rowniel's expanded tulip section is 312 square feet.

To find the area of Rowniel's expanded tulip section, we first need to determine the dimensions of the expanded section.

The original tulip section has a length of 10 feet and a width of 24 feet. If Rowniel increases the length and width of each section by 2 feet, the expanded tulip section will have a length of 10 + 2 = 12 feet and a width of 24 + 2 = 26 feet.

To calculate the area of the expanded tulip section, we multiply the length by the width:

Area = Length × Width

Area = 12 feet × 26 feet

Area = 312 square feet

Therefore, the area of Rowniel's expanded tulip section is 312 square feet.

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Answer:

(2,4) (4,6) (6,9) (8,12)

First bracket : Add 2

Second bracket : Add 2

Third bracket : Add 3

Fourth bracket: Add 4

This is all I know

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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The dimensions of the box that will have the greatest volume are:

Length and width of the base: 2√3 feet

Height: h = (36 - x^2) / 8x = (√3)/2 feet

Let the length and width of the base be x, and let the height be h.

The surface area of the top is x^2, and the surface area of the remaining four sides is \(2(xh + xh) = 4xh\).

The cost of the top is \(x^2\), and the cost of the remaining four sides is \(2(4xh) = 8xh\). Therefore, the total cost is:

\(C(x,h) = x^2 + 8xh\)

We know that the total cost is $36, so we have:

\(x^2 + 8xh = 36\)

Solving for h, we get:

\(h = (36 - x^2) / 8x\)

The volume of the box is given by:

\(V(x,h) = x^2h\)

Substituting h in terms of x, we get:

\(V(x) = x^2 ((36 - x^2) / 8x)\)

Simplifying, we get:

\(V(x) = (1/8) x (36x - x^3)\)

To find the dimensions of the box that will have the greatest volume, we need to find the value of x that maximizes V(x). We can do this by taking the derivative of V(x) with respect to x, setting it equal to 0, and solving for x:

\(V'(x) = (1/8) (36 - 3x^2) = 0\)

Solving for x, we get:

x = 2√3

Therefore, the dimensions of the box that will have the greatest volume are:

Length and width of the base: 2√3 feet

Height: \(h = (36 - x^2) / 8x\) = (√3)/2 feet

The volume of the box is:

\(V = x^2h\)= (2√3)^2 ((√3)/2) = 9√3 cubic feet

Note: To confirm that this value represents the maximum volume, we can check that V''(x) < 0, which indicates a maximum point. We have:

\(V''(x) = (1/8) (-6x) = -3x/4\)

At x = 2√3, V''(x) = -3(2√3)/4 = -3√3/2 < 0, so this is indeed a maximum point.

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A group should consist of 13 people in order to ensure that at least two of the group members have birthdays that are in the same month.

Given:

This problem is an example of pigeonhole principle which states that If n+ 1 objects are placed into n boxes, then some box contains at least 2 objects.

Here no. of months in a year are boxes n = 12.

Therefore number of objects( people) = n+1= 13.

Then, at least two people  in the group whose birthdays fall in the same month.

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Answer:

0 Cookies

Step-by-step explanation:

I ate them all

Answer:

74 free cookies

Step-by-step explanation:

He has 74 free cookies, therefore he has 74 cookies.

Answer:

The measure of a single interior angle is 169.4°

Step-by-step explanation:

Angles in Regular Polygons

The sum of the interior angles, in degrees, of a regular polygon, is given by the formula 180(n – 2), where n is the number of sides.

For a regular 34-gon, n=34, and the sum of the interior angles is:

180(34 – 2)=5,760°

The measure of any of the interior angles is

\(\frac{5,760}{34}=169.4^\circ\)

The measure of a single interior angle is 169.4°

The solution of the algebraic expression (8h-1)-(h+ 3) is -25.

Given:

The given expression in the question is:

(8h-1)-(h+ 3); Value of h = -3​

Putting the value of h in the expression

8(-3)-1 - ((-3)+3)

= -24-1 -0

= -25

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Answer:

14.75 in.²

Step-by-step explanation:

A = 1.5² + ½(2.5 + 1.5)(2) + 4(2) + ½(1)(1)

14.75 in.²

Answer:

Triangle=1/2BH, 1/2(1)(1)=.5

Parallelogram=BH, (4)(2)=8

Trapezoid=((B1+B2)/2)*H, ((1.5+2.5)/2)*2-->(4/2)*2=4

Square=BH, (1.5)(1.5)=2.25

.5+8+4+2.25=14.75

Step-by-step explanation:

Answer:

20+15x

Step-by-step explanation:

because we start with 20 and every year 15 kids join we multiply 15 by x years with 20 kids so we get 20+15x

Answer:

751450

Step-by-step explanation:

The correct response is C. 0.0036 Square degrees The field of vision of the Hubble Space Telescope is only 0.006 degrees, which is around 100 times less than that of the Micro Observatory telescopes. But it has a 100 times better angular resolution!

Skywatchers can readily view planets with just a modest or medium-sized telescope. How much of our solar system is visible will wow you! Additionally, you don't need a completely dark sky to see all of the planets in our solar system; a telescope can still make Venus, Mars, Jupiter, and Saturn easily visible even when viewed in a city. From $100 to well over $10,000, a telescope can be purchased. In 2022, you can anticipate that a good telescope for visual observing will start around $300 and a telescope capable of deep-sky astrophotography would start around $800. With a 25x telescope, even the tiniest telescope should be able to see Saturn's rings.

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Large telescopes often have small fields of view. For example, the Hubble Space Telescope's (HST's) advanced camera has a field of view that is roughly square and about 0.06 degree on a side. Calculate the angular area of the HST's field of view in square degrees.

A. 0.006 Square degrees

B. 0.36 Square degrees

C. 0.0036 Square degrees

D. 0.06 Square degrees

Answer:

I believe that it is .875 or 7/8 but im not sure

Step-by-step explanation:

Step-by-step explanation:

it is the vertical of 5 and 6 aww you can do that

Answer:

The answer is 235.7 cm3

Step-by-step explanation:

Radius=9m

Height=5m

Volume of cone=1/3\(\pi\)r2h      (2 stands for square)

1/3*22/7*9*9*5=1*22/7*3*9*5

=22/7*75=1650/7=235.7cm3.

Hope it helped.

The term 2500 in the function has to do with the amount of money that is to be paid after the down payment. Option D

We know that a function has to do with a mathematical rule that can be used to solve a problem. In this case the problem that we have is the payment for a car that has been purchased on loan.

The function that can be used to model the payment for this car be applied in the form a straight line graph. If we apply it in the form a straight line graph then we would have the problem being to be plotted on a graph and so does the amount that he has to pay each month.

We must all recall that he has payed  down payment of about $3000. There is still an unknown balance that he has to pay and that payment would continue until we have the complete payment done.

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the exact values of the six trigonometric functions of the angle are:

sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4
csc(theta) = 5/3
sec(theta) = 5/4
cot(theta) = 4/3

We can determine the exact values of the six trigonometric functions of the angle using the coordinates of the point (4,3) on the terminal side of the angle.

First, we can find the distance r from the origin to the point (4,3) using the Pythagorean theorem:

r = sqrt(4^2 + 3^2) = 5

Next, we can use the coordinates of the point (4,3) to determine the sign of the x and y coordinates. Since the x coordinate is positive and the y coordinate is positive, we know that the angle is in the first quadrant.

Using the definitions of the six trigonometric functions, we can now determine their exact values:

sin(theta) = y/r = 3/5
cos(theta) = x/r = 4/5
tan(theta) = y/x = 3/4
csc(theta) = r/y = 5/3
sec(theta) = r/x = 5/4
cot(theta) = x/y = 4/3

Therefore, the exact values of the six trigonometric functions of the angle are:

sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4
csc(theta) = 5/3
sec(theta) = 5/4
cot(theta) = 4/3
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To solve the system of equations: -1/4x - 2y = -3/4 (Equation 1)

1/5x + 1/2y = 12 (Equation 2)

We can use the method of substitution or elimination. Let's solve it using the elimination method:

Multiply Equation 1 by 10 to eliminate fractions:

-10(1/4x - 2y) = -10(-3/4)

-10/4x - 20y = 30/4

-5/2x - 20y = 15/2 (Equation 3)

Now, we can add Equation 2 and Equation 3:

(1/5x + 1/2y) + (-5/2x - 20y) = 12 + 15/2

This simplifies to:

-4/5x - 19/2y = 12 + 15/2

-4/5x - 19/2y = 24/2 + 15/2

-4/5x - 19/2y = 39/2 (Equation 4)

Now we have two equations:-5/2x - 20y = 15/2 (Equation 3)

-4/5x - 19/2y = 39/2 (Equation 4)

To eliminate the x term, we can multiply Equation 4 by 5 and multiply Equation 3 by 2:

-10/5x - 100y = 75/5 (Equation 5)

-8/5x - 95/2y = 195/2 (Equation 6)

Now, add Equation 5 and Equation 6:

(-10/5x - 100y) + (-8/5x - 95/2y) = 75/5 + 195/2

This simplifies to:

-18/5x - 295/2y = 375/5 + 195/2

-18/5x - 295/2y = 750/10 + 975/10

-18/5x - 295/2y = 1725/10 (Equation 7)

Now we have two equations:

-5/2x - 20y = 15/2 (Equation 3)

-18/5x - 295/2y = 1725/10 (Equation 7)

To eliminate the y term, we can multiply Equation 3 by 295 and multiply Equation 7 by 40:

-1475/2x - 5900y = 22125/2 (Equation 8)

-72/5x - 5900y = 69 (Equation 9)

Now, add Equation 8 and Equation 9:

(-1475/2x - 5900y) + (-72/5x - 5900y) = 22125/2 + 69

This simplifies to:

-2180/10x = 44250/10 + 138/10

-218/10x = 444/10 + 138/10

-218/10x = 582/10

-218/10x = 58/10

Simplifying further:

-218x = 580

x = -580/218

x = -290/109

Now, substitute the value of x into Equation 3:

-5/2(-290/109) - 20y = 15/2

Simplify:

1450/218 - 20y = 15/2

Multiply through by 218 to eliminate fractions:

1450 - 4360y = 109*15/2

1450 - 4360y = 1635/2

1450 - 1635/2 = 4360y

Simplify further:

1450 - 817.5 = 4360y

632.5 = 4360y

y = 632.5/4360

y = 316.25/218

y = 6325/4360

y = 25/17

Therefore, the solution to the system of equations is x = -290/109 and y = 25/17.

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428.5oz (total amount she had to put out)÷ 5(amount of bowls she wanted to use) = 85.7oz

Answer:

\( \sqrt {196}\)

Step-by-step explanation:

\(\bigg \{ - 12.6, \: \frac{11}{15}, \: \red{ \boxed{\sqrt{196} }}, \: \: 0 \bigg\}\)

The missing value in the set will be √196.

What is Rational number ?

In mathematics, a rational number is any number that can be written as a fraction, in which the numerator (the top number) and the denominator (the bottom number) are both integers, and in which the numerator is not equal to zero. In other words which can be written in p/q form.

Here, the number given are 8π, √196, 14.32641..., √105

if we consider one by one the above numbers except √196 all are irrational numbers that is cannot be written in p/q form.

Therefore, the missing value in the set will be √196.

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Using coordinate geometry, A total of 10 tiles can fit each having area = 25 sq. inches.

Given the coordinates are -

(0, 12.5), (20, 12.5), (20, 0), and (0, 0)

The area of the rectangle formed by these coordinates will be -

Using coordinate geometry, Distance between all the coordinates =

(0, 12.5), (20, 12.5)  =

\(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} } \\\\= \sqrt{(20 - 0)^{2} + (12.5 - 12.5)^{2} }\\\\= \sqrt{(20)^{2}}\\\\= 20\)

Similarly, on calculating the distance between other coordinates -

(20, 12.5), (20, 0) = 12.5

(20, 0), and (0, 0) = 20

(0, 12.5),(0, 0) = 12.5

So the area of the rectangle will be (L×B) =  20 × 12.5

= 250units

The area of the square tiles will  be -

Side ×Side

= 5 × 5

=25 sq. inches

The number of tiles that can fit = 250 / 25

= 10 tiles

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Answer:

√21 + 3√2 - √35 - √30

Step-by-step explanation:

Given :-

√3 - √5 / √7 - √6

Solving :-

= √3 - √5 (√7 + √6) / √7 - √6 (√7 + √6)

= √21 + √18 - √35 - √30 / 7 - 6

= √21 + 3√2 - √35 - √30

Solution :-

√21 + 3√2 - √35 - √30

Answer:

⇒√21+√18-√35-√30

Step-by-step explanation:

\(\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} } \\\\\frac{\sqrt{3}-\sqrt{5} }{\sqrt{7}-\sqrt{6} }*\frac{{\sqrt{7}+\sqrt{6} }}{{\sqrt{7}+\sqrt{6} }} \\\\\frac{(\sqrt{3}-\sqrt{5})*(\sqrt{7}+\sqrt{6} ) }{(\sqrt{7})^{2}-(\sqrt{6})^{2} } } \\\\\frac{\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30} }{7-6}\\\\\sqrt{21}+\sqrt{18} -\sqrt{35}-\sqrt{30}\)

To prove that YEAR is a square, we need to show that all four sides have the same length and all four angles are right angles (90 degrees).

Side Lengths: To find the lengths of the sides, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

For example, to find the length of the side that connects Y and E, we can use the following calculation:

d = √((3 - 1)² + (0 - (-4))²) = √((2)² + (4)²) = √(4 + 16) = √20

We can use the same formula to calculate the lengths of the other sides. By doing so, we will find that the length of all four sides are the same, which is √20. This means that all four sides of YEAR are congruent, and therefore it is a square.

Answer:

3.33 meters per second

Step-by-step explanation:

1 1/2 laps = 200+100 = 300

use formula: distance = rate x time

t = time (in meter per second)

300 = 90t

t = 300/90 which reduces to 3.33/1

Answer: Hello!

-2-(-5) can also be written as -2 + 5.

When subtracting a negative, you're essentially adding, because you are subtracting a negative value. So we would add 5 to -2.

Hope this helps!