WILL MARK BRAINLIEST!!!! Can someone help me wit des two questions?
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1.) Given the equation y - 8 = -5(x - 7) What is the slope?

a.) 8
b.) -5
c.) 7
d.) Not enough information
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2.) Given the equation y - 8 = -5(x - 7) What is a point on the line?

a.) (8, -5)
b.) (7, 8)
c.) (-5, 0)
d.) Not enough information

Answers

Answer 1

NUMBER 1: -5

NUMBER 2:

-5,0 I think the first one is right tho


Related Questions

help me please , for 20 points

help me please , for 20 points

Answers

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

what is the greatest common factor x^3+16x^2+64x

Answers

Answer: download photo math (<>_<>)

Step-by-step explanation: (<>_<>)

Answer:

GCF is \(x\)

Step-by-step explanation:

\(x^3+16x^2+64x\)

\(x(x^2+16x+64)\)

\(x(x+8)(x+8)\)

Therefore, the greatest common factor is \(x\)

Box 1 measures 6cm in width, 12cm in length, and 4cm in height. The height is doubled to 8cm to produce a larger box, Box 2 Which phrase accurately describes the volume of Box 2 in relation to Box 1

Box 1 measures 6cm in width, 12cm in length, and 4cm in height. The height is doubled to 8cm to produce

Answers

Step-by-step explanation:

i don't know but i think this is it

The height is doubled to 8cm to produce a larger box, Box 2 Which phrase accurately describes the volume of Box 2

Your grandparents have been putting $200 into an account each month that earns a rate of 4%. If it has been 15 years, how much is it worth now?

Answers

The account would be worth approximately $62,420.80, which includes both the initial investment of $36,000 and the accumulated interest.

Assuming that the $200 has been added each month for the past 15 years, the total amount of money invested would be $200 x 12 months x 15 years = $36,000.
To calculate the amount of money earned from the 4% interest rate, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the principal (the initial investment), r is the interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
Plugging in the values, we get:
A = $36,000(1 + 0.04/12)^(12*15)
Simplifying, we get:
A = $36,000(1.0033)^180
A = $36,000(1.7328)
A = $62,420.80
Therefore, after 15 years, the account would be worth approximately $62,420.80, which includes both the initial investment of $36,000 and the accumulated interest.

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The balance of the account after 15 years is given as follows:

$49,218.

What is the future value formula?

The balance of an account, considering periodic deposits, is given as follows:

\(B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}\)

The meaning of each parameter is given as follows:

P is the periodic payment.r is the interest rate.n is the number of yearly compoundings.t is the time in years.

The parameter values for this problem are given as follows:

P = 200, r = 0.04, n = 12, t = 15.

Hence the balance of the account after 15 years is given as follows:

\(B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}\)

\(B = \frac{200\left(\left(1 + \frac{0.04}{12}\right)^{12 \times 15}-1\right)}{\frac{0.04}{12}}\)

B = 49,218.

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Graph the line with the equation y = -3x – 2.
10
9
-10-9
-6 -5
-4
-3
1
3
4
5 6 7 8 9 10

Graph the line with the equation y = -3x 2.109-10-9-6 -5-4-31345 6 7 8 9 10

Answers

Answer:

First start with the y-intercept at -2.

Then graph it three units to the right, then one unit down.

Step-by-step explanation:

Please mark as Brainliest!

Answer:

Place a point on (-6,0) and (0,-2) then draw a line that goes through both of those two points. You will then have graphed that equation.

I hope this helps!

PLSSSS HELP ASP At a grocery store, the price of $3 cans of soup is $6.90$

At this rate, how much would $10 cans of soup cost?
A $4.30

B $13.90

C $20.70

D $23.00

Answers

Answer:

c

Step-by-step explanation:

I believe the answer is c

the banana is 8 inches long how many 0.4 inch slices can be cut from the banana

Answers

Answer:20

Step-by-step explanation:

20 slices can be cut from the banana because 8 divided by 0.4 is 20 to check your answer 20 times 0.4 = 8

Find the​ z-score and direction that corresponds to the percentage of adult spiders that have carapace lengths exceeding 19 mm. The percentage of adult spiders that have carapace lengths exceeding 19 mm is equal to the area under the standard normal curve that lies to the right of nothing.​(Round to two decimal places as​ needed.)

Answers

a) The corresponding z-score is 0.5 and the direction is to the right.

b) The percentage of adult spiders that have carapace lengths exceeding 19 mm is 30.85%.

If the area under the standard normal curve that lies to the right of nothing is 50%, then the z-score corresponding to this area is 0.

To find the z-score and direction that corresponds to the percentage of adult spiders that have carapace lengths exceeding 19 mm, we need to determine the area under the standard normal curve to the right of 19 mm and then find the corresponding z-score using a standard normal distribution table or calculator.

Assuming a normal distribution of carapace lengths of adult spiders, we need to standardize the value of 19 mm by subtracting the mean and dividing by the standard deviation. If we assume that the mean carapace length of adult spiders is 18 mm with a standard deviation of 2 mm, we can calculate the z-score as follows

z = (19 - 18) / 2 = 0.5

This means that a carapace length of 19 mm is 0.5 standard deviations above the mean. To find the area under the standard normal curve to the right of 19 mm, we can use a standard normal distribution table or calculator, which gives us an area of 0.3085.

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help me plsssssssssssss

help me plsssssssssssss

Answers

Answer:

do you still need help

Step-by-step explanation:

???

Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue paint.
1. How many cans of white paint will she need to mix with 6 cans of blue?
2. Rate needed (white/blue)
3. What is the unit rate?
4. Interpretation of unit rate?

Answers

1. 9 cans of white paint will she need to mix with 6 cans of blue

2. The rate of white to blue is 9 : 6.

3. The unit rate is 3/2.

What is Ratio?

Given:

Anne must add 3 cans of white paint to every 2 cans of blue paint.

So, the ratio of white to blue = 3:2

and, for 6 cans of blue paint the white paint needed

= 6 x 3/2

= 3x 3

= 9 cans

2. The rate of white to blue is 9 : 6.

3. The unit rate is 3/2.

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Pressure p, volume V, and temperature T for a certain material are related by p=A
V
T

−B
V
T
2


where A and B are constants with values 351 J/K and 0.448 J/K
2
. Find the work done by the material if the temperature changes from 272 K to 300 K while the pressure remains constant. Number Units

Answers

To find the work done by the material, we can use the equation for work in terms of pressure and volume:

Work = -pΔV

However, in this case, the pressure remains constant, so the equation simplifies to:

Work = -p(V2 - V1)

Given:

Temperature T1 = 272 K

Temperature T2 = 300 K

Pressure p = constant

To find the work done, we need to evaluate the change in volume (ΔV) between the initial and final states. To do this, we can rearrange the equation given to solve for ΔV:

p = A / (V1 * T1) - B / (V1 * T1^2)

Simplifying, we have:

(V2 - V1) = A / (p * T2) - B / (p * T2^2)

Now, we can substitute the given values into the equation and calculate the work done:

Work = -p(V2 - V1)

Remember that pressure (p) is constant, so we can substitute it directly into the equation.

Make sure to provide the appropriate units for pressure, volume, and work in order to obtain the correct numerical value.

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Need help on this!!!

Need help on this!!!

Answers

Answer:

7.8391

Step-by-step explanation:

Answer:

Step-by-step explanation:

The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:

\(e^{ln(x+3)}=e^5\)

That leaves us on the left with simply

x + 3

On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:

\(x=e^5-3\) and

\(e^5=148.4131591\), so

x = 148.4131591 - 3 and

x = 145.4132, the first choice listed.

Cellular phone company A charges a $27.95 monthly fee and $.12/min for local calls. Company B charges $12.95 a month and $.32/min for local calls.

A) Write an equation to represent the number of minutes a month, x, the companies will charge the same amount.

B) After how many minutes will company A and Company B charge the same amount?

C) What is that amount?

Answers

On solving the provided question, we can say that, by solving the equations  that amount is $36.95

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Suppose x be the number of minutes of local calls when cost of plans are the same

Cost of Plan 1is $27.95+.12x

Cost of Plan 2 is $12.95+.32x

\($27.95+0.12x=12.95+.32x \\\)

\($27.95-$12.95+.12x-.12x=$12.95-$12.95+.32x-.12x\\$15.00=.20x\)

x=75 minutes

\(27.95+.12(75)=12.95+.32(75)\\27.95+9.00=12.95+24.00\\36.95=36.95\)

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why does increasing the concentraction of reactants increase the reaction rate

Answers

Increasing the concentration of reactants typically increases the reaction rate

What is the rate of reaction?

The rate of the reaction indicates the speed with which the reaction is completed or product is formed.

Increasing the concentration of reactants typically increases the reaction rate because it increases the frequency of collisions between the reactant molecules.

In a chemical reaction, the reactant molecules must collide with each other with sufficient energy and proper orientation for the reaction to occur. If the concentration of reactants is low, there will be fewer reactant molecules present in a given volume, and therefore, fewer collisions will occur. As a result, the reaction rate will be slower.

On the other hand, if the concentration of reactants is high, there will be more reactant molecules present in a given volume, and therefore, more collisions will occur. This increased frequency of collisions leads to a higher probability that reactant molecules will have sufficient energy and proper orientation to react, and thus, the reaction rate will be faster.

It's important to note that increasing the concentration of reactants will only increase the reaction rate up to a certain point. Beyond a certain concentration, the reaction rate will not increase further, as the reactant molecules will already be colliding with each other at a high enough frequency to produce the maximum possible reaction rate.

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two lines perpendicular to the same plane are

Answers

Answer: coplanar

Since they are perpendicular to the same plane, they are considered coplanar.

Witch fraction is not in simplest form 5/15 or 5/12

Answers

5/15, it can still be divided by 5
5/15 in simplest form is 1/5

Match each radical expression with the equivalent exponential expression. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 3√4 3√ 2√3 2√5

Answers

Matching the radical expressions with their equivalent exponential expressions, we have 3√4 corresponding to 2^2/3, and 3√ to 2^1/3. Similarly, 2√3 can be matched with 3^1/2, and 2√5 with 5^1/2.

Radical expressions and exponential expressions are two different ways of representing the same mathematical concept. The radical symbol, denoted by √, represents the square root, cube root, or higher roots of a number. On the other hand, exponential expressions involve raising a base number to a given exponent.

In this case, the first radical expression is 3√4. The number inside the radical is 4, and the index outside the radical is 3, indicating the cube root. The equivalent exponential expression for this is 2^(2/3), where the base is 2 and the exponent is 2/3. This means taking the cube root of 4 is the same as raising 2 to the power of 2/3.

The second radical expression is 3√. Here, the number inside the radical is not specified, so we assume it to be 2 (as it is the most common convention). Therefore, the equivalent exponential expression is 2^(1/3), indicating the cube root of 2.

Moving on to the third radical expression, 2√3, the number inside the radical is 3, and the index outside the radical is 2, representing the square root. The corresponding exponential expression is 3^(1/2), which means taking the square root of 3.

Finally, the fourth radical expression is 2√5, where the number inside the radical is 5, and the index outside the radical is 2, representing the square root. The equivalent exponential expression is 5^(1/2), indicating the square root of 5.

In summary, the radical expressions 3√4, 3√, 2√3, and 2√5 can be matched with their equivalent exponential expressions: 2^(2/3), 2^(1/3), 3^(1/2), and 5^(1/2), respectively.

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Select the correct answer. which word best completes this sentence? felipe: a mi hija ______ interesan las películas de steven spielberg. a. te b. me c. le d. les

Answers

According to the question the correct option is c.)  le The word that best completes the sentence is "c. le."

In the sentence, Felipe is talking about his daughter's interest in Steven Spielberg movies. The phrase "a mi hija" translates to "to my daughter," and the verb "interesan" indicates that the subject (las películas de Steven Spielberg) is of interest to someone.

In this case, the pronoun "le" is used to represent the indirect object pronoun "a mi hija" (to my daughter). This pronoun indicates that the movies are of interest to Felipe's daughter.

Therefore, the correct word to complete the sentence is "le," which means "to her" in English.

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use the binomial theorem to find the binomial expansion of the given expression. (2x-3y)^5.
show work

Answers

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x 2? 3x2 − 11x 8; may or may not be a polynomial 3x2 − 11x 8; will be a polynomial 3x2 − x 4; may or may not be a polynomial 3x2 − x 4; will be a polynomial.

Answers

The polynomials are closed under subtraction when polynomial 5x − 6 is subtracted \(\rm 3x^2-6x+2\) from is \(\rm 3x^2 - 11x + 8\) will be a polynomial.

What is polynomial?

Polynomial is an algebraic expression that can involve variables with nonnegative integer terms and constants.

Given

Polynomial 5x -6 and \(\rm 3x^2-6x+2\).

Similar terms are terms having the same variables with the same degree.

When we subtract polynomials, we combine like terms: 3x² is the only x² term.

We have -6x and subtract 5x from it; this gives us -11x.

We have 2 and subtract -6 from it; when we subtract a negative, we add the opposite, which means we have 2--6=2+6=8.

Therefore,

The polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x+ 2 is;

\(\rm= 5x-6-(-3x^2-6x+2)\\\\=5x-6+3x^2+6x-2\\\\=3x^2+11x-8\)

Hence, the polynomials are closed under subtraction when polynomial 5x − 6 is subtracted \(\rm 3x^2-6x+2\) from is \(\rm 3x^2 - 11x + 8\) will be a polynomial.

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PLEASE I NEED HELP!!! NOT JUST THE ANSWER THE STEPS TO PLEASEE!!

PLEASE I NEED HELP!!! NOT JUST THE ANSWER THE STEPS TO PLEASEE!!

Answers

Answer:

x=6

y=17

Step-by-step explanation:

y=2x+5

y=3x-1

Since both 2x+5 and 3x-1 are equal to y, by the transitive property they are equal to each other. Thus:

2x+5=3x-1

6=x

y=2(6)+5=12+5=17

Compare the rate of change of the two graphs shown.
​ The function for graph (1 or 2) has a higher rate of change than the function of graph (1 or 2).
.

Compare the rate of change of the two graphs shown. The function for graph (1 or 2) has a higher rate

Answers

Answer: The function of graph 2 has a higher rate of change than the function of graph 2

Step-by-step explanation:

enlarge triangle by scale factor 3 using the blue dot as the centre of enlargement

Answers

The new enlarged triangle has vertices at P4, P5, and P6, and is three times larger than the original triangle, with the blue dot as its center of enlargement.

What is a triangle?

A triangle is a geometric shape that consists of three straight sides and three angles. It is one of the most basic and fundamental shapes in geometry, and it is formed when three non-collinear points are connected by straight lines.

To enlarge a triangle by a scale factor of 3 using the blue dot as the center of enlargement, follow these steps:

Draw a line connecting the blue dot and each vertex of the triangle.

Mark a point on each line that is 3 times the distance from the blue dot as the corresponding vertex of the original triangle.

Connect the points on each line to form the new enlarged triangle.

Here is a step-by-step visual guide:

1. Draw lines connecting the blue dot to each vertex of the original triangle.

           B

           /\

          /  \

         /    \

    P1  /      \  P2

       /        \

      /          \

     /____________\

    A      P3      C

2. Mark a point on each line that is 3 times the distance from the blue dot as the corresponding vertex of the original triangle.

           B

           /\

          /  \

         /    \

    P1  /      \  P2

       /        \

      /    P4    \

     /____________\

    A      P3      C

Note that P4 is located 3 times the distance from the blue dot to vertex A along the line connecting them. Similarly, P5 and P6 are located 3 times the distance from the blue dot to vertices B and C respectively along their respective lines.

3. Connect the points on each line to form the new enlarged triangle.

       P5

        /\

       /  \

      /    \

 P1 /      \ P2

    /        \

   /    P4    \

  /____________\

 P3      P6      P7

Therefore, the new enlarged triangle has vertices at P4, P5, and P6, and is three times larger than the original triangle, with the blue dot as its center of enlargement.

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A straight line passes through points (3, 12) and (7,4).
What is the equation of the line?

Answers

Answer:

y=-2x+18

Step-by-step explanation:

Since the y-value is going down, we can assume that the line is going negative.   As the midpoint is (5, 8), you should subtract 2 units from 3 and a 4 units from 12 to get (1, 16) and therefore to get to (-1, 20), since the y-intercept is 18, the slope is 2, and it is going negative, your final answer is y=-2x+18.

Which expression converts startfraction pi over 4 endfraction radians to degrees?

Answers

Using the degree and radian relation π/4 radian equals 45°.

Given angle =π/4 radian

What is the relation between radian and a degree?

π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.

Since, 1 radian equals 180/π degree.

So, π/4 radian =180/π * π/4 degree.

π/4 radian = 45°.

So, π/4 radian equals  45°.

Therefore, using the degree and radian relation π/4 radian equals 45°.

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Suppose u and v are mutually exclusive events and p(u)=0.26 and p(v)=0.37 find p(u and v) find p(u | v) find p(u or v)

Answers

The values of the probabilities are P(u or v) = 0.63, P(u and v) = 0 and P(u|v) = 0

How to evaluate the probabilities?

The probabilities are given as:

P(U) = 0.26

P(V) = 0.37

For mutually exclusive events, we have

P(u or v) = P(u) + P(v)

So, we have

P(u or v) = 0.26 + 0.37

P(u or v) = 0.63

Also, we have:

P(u and v) = 0

Finally, we have:

P(u|v) = 0

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if (x+y , 2x-3) = (5,3) find the value of x and y​. plz answer ASAP!!!

Answers

Answer:

x=3

y=0

Step-by-step explanation:

2x-3=3

2x=6

x=3

x+y=3

3+y=3

y=0

Answer:

ans: x= 3 and y= 2

Step-by-step explanation:

equating corresponding order pair,

x + y = 5 and

2x-3 = 3

so x=6/2 I.e

x= 3

putting x in

x + y = 5

y = 5- 3

y = 2

1/x^12 times x^2 please help i need to hurry with this

Answers

Answer:

x= 3, -4

Step-by-step explanation:

BIG BRAIN

40000 is divided by the smallest number so that the result is a perfect cube. find the cube root of the resulting number.

Answers

The Cube root of the resulting number is 8.

The smallest number that 40000 can be divided by so that the result is a perfect cube, we need to factorize 40000 into its prime factors:

\(40000 = 2^6 \times 5^4\)

To make this a perfect cube, we need to ensure that the powers of each prime factor are multiples of 3.

The smallest number we can divide 40000 by so that the result is a perfect cube is:

\(40000 = 2^6 \times 5^4\)

Now we can find the cube root of the resulting number:

\(3\sqrt (40000 \div 100) = 3\sqrt400 = 8.\)

Factories 40000 into its prime components in order to determine.

The least number that the result may be divided by while still producing a perfect cube.

The powers of each prime factor must be multiples of three in order for this to be a perfect cube.

The least number that 40000 may be divided by to produce a perfect cube is:

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Evaluate the expression -24/3

Answers

Answer:

-8

Step-by-step explanation:

\(-\frac{24}{3}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\)

Answer: .-8

Step-by-step explanation:

-24 divided by 3 equals -8

-24/3= -8

Since -24 is negative the answer has to be negative as well because negative divided by positive is negative.

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Show your workikkkkkkkk Hazing at fraternities is an example of people's need to be in the in-group even if it means going against their own ideas, beliefs, or principles. T/F A card is drawn at random from a well shuffled pack of 52 cards. What is the probability that the card is neither a spade nor a jack? similarities between looamy soil with clay soil Write an interesting story that ends with the expression, Unfortunately I realizelate that my friend was a wolf in sheep's What are the possible consequences to an organism when the temperature becomes colder than the optimum range for a species? which of the following molecules/ions will exhibit delocalized pi () bonding? group of answer choices of2 o2 cocl2 co2 co32- Two people answer = one brainliest for best answer 100ptsUse the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other. For similar isosceles trapezoids ABCD and WXYZ, determine which of the following proportions are equivalent to each other. Select all situations that apply.Thank you A McKinsey study of hundreds of international organizations found that those with a diverse leadership team experienced ______. Which sentence from Amigo Brothers by Piri Thomas represents the resolution of the storys conflict? When we get into the ring, its gotta be like we never met. Their blows continued to pound on each other like hailstones. Each had fought many bouts representing their community. No matter what the decision, they knew they would always be champions to each other. If you help i will give you brainliest1) What is one activity almost all the organizations you learned about are involved in doing?2) Which of the 6 organizations do you think has the biggest impact in the world today? Justify your choice. misha is the 50th best as well as the 50th worst student in her grade. how many students are in misha's grade? When is the advisable time to start building or adding to your own professional network?Question 5 options:a) Upon graduationb) When you need a jobc) Whenever you have timed) Right now Question 3 of 26How did centers of world power shift from the period before World War I tothe period after World War II?A. The centers of power shifted from Western Europe to the UnitedStates and the Soviet Union.B. The centers of power shifted from the Soviet Union to EasternEurope and China.C. The centers of power shifted from the United States and EasternEurope to the Soviet Union.D. The centers of power shifted from Eastern Europe to the SovietUnion and China.SUBMIT Who is the worst person in the history of all presidents the united states sent about 500,000 troops in the 1960s and 1970s to this country. myanmar (burma) philippines vietnam cambodia Which choice best represents the two different meanings of "simple" as used in the firstparagraph ("By the time ... self") to describe "country world" and "world of the battlefield"respectively?AModest; straightforwardurarBInnocent; humbleod;plefIgnorant; unpretentiousDEasy; undemandingif A team of researchers wants to determine whether pet owners are generally more satisfied with their lives than non-pet owners. To test their theory, the researchers randomly select 500 pet owners and 500 non-pet owners from several major metropolitan areas in the country. The researchers then interview the individuals, asking them a series of questions. Each response is assessed with a point value that is later translated to a satisfaction indicator. Of the pet owners surveyed, 380 of the 500 were found to be satisfied with their lives, while 336 of the 500 non-pet owners were found to be satisfied.A. would this study be considered an experiment or an observational study? Explain. B. Say that the researchers decide to run a z-test for the difference of two proportions to see if a higher proportion of pet owners are satisfied with their lives than non-pet owners. What would be the null and alternative hypotheses tested? Be sure to identify the parameters being tested #1 Evaluate S (x+1) dx by using limit definition. (20 points) #2 Evaluate S x(x +8) dx by using Substitution. (10 points) #3 Evaluate Stift-4 dt (10 points) Sot at #4 Find flex) if f(x) = 5 * =_=_=_d + x + / #5 Evaluate 5 | (t-1) (4-3) | dt (15 points) #6 Evaluate SX (x+1) /2 dx (15 points) (10 points) #7 Evaluate S sin (7x+5) dx (10 points) #8 Evaluate S/4 tan o sec o do (10 points) Gladys, a 70-year-old woman of European descent, has recently discovered an enjoyment for hip-hop music. She has invested in a large set of headphones and listens to this music everywhere she goes, rapping along with the lyrics. Needless to say, Gladys attracts a lot of attention when she behaves this way in public, because she does not conform to