(-5c^-7d^3)(8c^-4d^1)

We want to know if

f(x) = x² +5

is a possible function.

If it is it should satisfy that f(8)= 66, it is to say that when we replace x = 8 the answer should be 66.

Let's replace x by 8

f(x) = x² +5

f(8) = 8² +5

f(8) = 64 +5

f(8) = 69 66≠

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

Mean - 79

Median- 81

Range- 11

Step-by-step explanation:

Mean aka average = add all the numbers together and divide it by the number of numbers there were to find the mean of something.

in this case  : 81 + 82 + 84+ 75+73+75 + 83 = 553 divided by 7 = 79

Median -  Rearrange the set of numbers from least to greatest or  greatest to least  and find the middle number to find the median

In this case : 73, 75, 75, 81, 82, 83, 84 =  The median is 81

Range - Substract the highest and the lowest number from the set of numbers to find the range.

In this case : 84 - 73 = 11

Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

Answer:

1/4

Step-by-step explanation:

9 lbs

---------

36 lbs

We can write this because the units are the same

Divide the top and bottom by 9

9/9

----------

36 /9

1/4

Answer:

1/4

Step-by-step explanation:

9 pounds

36 pounds

Ratios are written as x:y, fractions are written as x/y.

9:36 as a fraction will be 9/36

Simplify the fraction.

1/4

Answer:

I think the perimeter of the diagram is 5 and if you round it like

If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. (In the example above, the hundredths digit is a 4 , so you would get 51.0 .) To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time).

627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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Answer:

wouldn't it be -7 and 5? I'm pretty sure that you switch the signs around.

Step-by-step explanation:

set y=0 and solve. -7 + 7 = 0 and 5 - 5 = 0. my teacher told me to switch the signs for each factored term. hope this helps.

Answer:

x = -7

x = 5

Step-by-step explanation:

Hello!

We can use the Zero Product Property to solve for the Zeroes.

The zero product property stars by factoring a quadratic. You then set each of the factors to zero, and solve for the variable in the factor.

Factored form: y = a(x - h)(x - k)

Now, let's call each factor, A and B. To get to 0, either A, B, or both have to be 0. We prefer to solve for both.

The zeroes of the Quadratic is -7 and 5.

Why do we replace it with 0?

Zeroes means the x-intercepts, or the roots of a quadratic. An x-intercet is when y is equal to 0. So we replace y with 0, and solve for x.

A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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Answer:

Y = 28

Step-by-step explanation:

Y=16 + 12 = 24

Therefore the y scored 24 points

9514 1404 393

Answer:

  a = -19

Step-by-step explanation:

In the first set of equations, subtract 4 times the second equation from the first.

  (x -8y) -4(5x -2y) = (-3) -4(4)

  -19x = -19 . . . . simplify

Comparing this to the equation ...

  ax = -19

we see that they will have the same solution when a = -19.

Answer:

Step-by-step explanation:

To solve this problem, we need to know the initial amount in the account.

Let's assume the initial amount in the account was X.

After 4 years at 6.75%, the amount in the account would be:

X + (0.0675 * X * 4) = X + 0.27X = 1.27X

If you withdrew $3240 from the account, the amount left in the account would be:

1.27X - $3240

We can't solve for the amount left in the account without knowing the initial amount X.

Answer:

16/15 or 1 1/15

Step-by-step explanation:

Subsitute p for 4/5

4/5+4/15

make common denominators

12/15+4/15

=16/15

Therefore , the solution of the given problem of triangle comes out to be triangle FUN and CAR is congruent thus it is proved that  m∠HAT = 50°

A triangle is a polygon since it has three parts and three vertices. It is a fundamental geometric figure. A triangle with the corners A, B, & C is referred to as triangle ABC. A single planar and triangle are found in geometric shapes when four elements are not collinear. Due of its three sides and top right corner, triangles are classified as polygons.

Here.

Triangle FUN is congruent with CAR , hence

then,

∠F equals ∠C

∠U is equivalent to ∠A.

∠N  equals ∠ R

and,

FN is equivalent to line CR

NU  is identical to line RA

UF  is equivalent to line AC

Cpct was used to resolve this.

congruent triangle's matching triangle segments

Therefore , the solution of the given problem of triangle comes out to be FUN is congruent with CAR .

For

m∠HAT = 50°

Thus triangle FUN and CAR is congruent thus it is proved that

m∠HAT = 50°

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Answer:

15/4 or 3.75

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

4x3=12

12+3=15

The value of reserve rate is 5%

Given that;

Solitary savings bank received initially amount of $2000.

Now, Let x% percent be kept as reserve then (100-x)% will be loaned out which would be deposited in other bank.

The other bank would keep x% of (100 - x) and again loan the remaining amount.

Thus the total deposits of this cycle would be a geometric series as

⇒ 2000[1 + (100 - x)% + (100 - x)²%+(100-x)² +...]

Here common ratio is,

(100 - x) / 100 = 1 - 0.01x <

for all possible x

This series is infinite and sum of this would be

= sum of geometric series

= 2000 (1/ (x/100)

= 200000/x

This is given as, 40000

Hence, equate and simplify to get;

⇒ x = 5%

So, The value of reserve rate is 5%

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Answer:

What is the question.

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Do you mean 9 ft. - 10 ft., which equals -1,

or do you mean 9 ft. x 10 ft., which is 90 ft.?

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

c

Step-by-step explanation:

got it right  

Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

Answer:

standard form: Ax + By = C

Slope-intercept form: y=mx+b

where m is the slope and b is the y intercept.

first lets put this into intercept form:

y=-5x+b

(4, 0) is the x intercept.)

To find what b is plug in the point 4, 0 for the x and y of the equation:

0=-5(4)+b

0=-20+b

20=b

b=20

Now that we have the slope, m, and the y intercept, b, we can make our equation

y=-5x+20

Now we need to transform this equation into standard form like so:

y=-5x+20

5x+y=20 - this is your answer

Step-by-step explanation:

The correct answers are:

They are inverses of one another

They are symmetric over the line y=x

When a number is too big or too little, exponential notation can express it as a single number and 10 increased to the power of the appropriate exponent.

The exponential form \(y=5^x\)

The logarithmic form \(y = log_5\ x\) are inverse functions of each other.

If we \(y = 5^x\), then \(x = log_5\ y\).

As long as x is a real number and y is positive, this is true for any value of x and y.

The graphs of \(y = 5^x\) and \(y = log_5\ x\) are symmetric over the line y = x.

We obtain the other graph by reflecting the first graph across this line.

Over the line y = x, the inverse functions are always symmetric.

If we swap the x and y coordinates of any point on one graph, we get a comparable position on the other graph.

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The slope of a line which is perpendicular to the line whose equation is 6 x + y = 8 as given in the task content is; 1/6

It follows from the task content that the slope of the line which is perpendicular to the line whose equation is 6 x + y = 8.

First, by rewriting the given equation such that it takes the slope-intercept form; y = mx + c; we have;

y = -6x + 8.

Recall that the slopes of a pair of lines which are perpendicular to each other are related such that;

m1 × m2 = -1 where m1 = -6.

Therefore, the slope of the second equation as required will be;

m2 = -1/(-6)

m2 = 1/6.

Ultimately, slope of a line which is perpendicular to the line whose equation is 6 x + y = 8 as given in the task content is; 1/6.

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(a) The maximum combination of X and Y is (10, 15).

(b). The new maximum combination of X and Y is (12, 18).

(c). The new maximum combination of X and Y is (20, 15).

To draw the budget line, we need to determine the different combinations of goods X and Y that can be bought within the given budget.

The budget line represents all the possible combinations of X and Y that can be purchased with G¢60.

Let's assume the quantity of good X is represented on the x-axis and the quantity of good Y is represented on the y-axis.

The combinations, we can start with the maximum quantity of each good that can be purchased with the given budget.

Given that the price of X is GH¢6 and the price of Y is GH¢4, we can calculate:

Maximum quantity of X = G¢60 / GH¢6 = 10

Maximum quantity of Y = G¢60 / GH¢4 = 15

Now, we can plot the budget line connecting this point with the origin (0, 0).

The budget line represents all the combinations of X and Y that can be purchased with G¢60.

    |

 15 +---------------------

    |

    |

    |

 10 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  5 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    5     10     15    X

(b) If the budget is increased by 20%, the new budget will be 120% of the original budget.

New budget = 120% of G¢60 = 1.2 × G¢60

= G¢72

To draw the new budget line, we repeat the steps from part (a) using the new budget of G¢72.

Maximum quantity of X = G¢72 / GH¢6 = 12

Maximum quantity of Y = G¢72 / GH¢4 = 18

Plotting the new budget line:

    |

 18 +---------------------

    |

    |

    |

 12 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  6 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    6     12     18    X

(c) If the price of X is halved, the new price of X will be GH¢6 / 2 = GH¢3.

To draw the new budget line, we keep the budget and the price of Y the same as in the original scenario.

Only the price of X changes.

Maximum quantity of X = G¢60 / GH¢3 = 20

Maximum quantity of Y = G¢60 / GH¢4 = 15

Plotting the new budget line:

    |

 15 +---------------------

    |

    |

    |

 20 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  5 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    5     10     15    X

Note that the slope of the budget line changes in both cases, reflecting the changes in the budget and the price of X.

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Answer:

x = 106 degrees

Step-by-step explanation:

x + 104 + 40 + 110 = 360

x + 254 (No more 254)

- 254 (Again no more 254)

x = 106

Answer:

C i think

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

use the side splitter theorem

6/12 = x/18 (replacing AQ with x)

12x = 108 (cross multiply)

x = 9

The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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Answer:

-28

Step-by-step explanation:

hope this helps :)