An adult meerkat weighs 776 grams. this is 0.747 kilograms more than the weight of a baby meerkat

Answer:

A

Step-by-step explanation:

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The earnings of Rayan per hour is $5 per hour

The first point = (1, 5)

The second point = (2, 10)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the function

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Where m is the slope of the line

\((x_1,y_1)\) is the coordinates of the first point

\((x_2,y_2)\) is the coordinates of the second point

Substitute the values in the equation

The slope of the line m = (10-5) / (2-1)

Subtract the terms

= 5 / 1

= $5 per hour

Hence, the earnings of Rayan per hour is $5 per hour

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Mean ≈ 0.874

Median ≈ 0.877

Maximum = 0.933

Minimum = 0.83

Mode = None

To find the mean, median, maximum, minimum, and mode of the given numbers:

Mean: The mean is the average of a set of numbers.

To calculate the mean, add up all the numbers and divide the sum by the total count.

Mean = (0.834 + 0.861 + 0.927 + 0.877 + 0.831 + 0.925 + 0.912 + 0.83 + 0.849 + 0.933 + 0.884) / 11

Mean ≈ 0.874

Median: The median is the middle value when the numbers are arranged in ascending or descending order.

Since there are 11 numbers, the median would be the 6th number when arranged in order.

Arranging the numbers in ascending order:

0.83, 0.831, 0.834, 0.849, 0.861, 0.877, 0.884, 0.912, 0.925, 0.927, 0.933

Median ≈ 0.877

Maximum: The maximum is the largest value among the given numbers.

Maximum = 0.933

Minimum: The minimum is the smallest value among the given numbers.

Minimum = 0.83

Mode: The mode is the value(s) that appear most frequently in the given numbers.

If there is no value that appears more than once, there is no mode.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

2nd answer option

Step-by-step explanation:

the domain is the interval or set of valid x values. the range is the same for valid y values.

so, what is the smallest x value we see in the functional graph ?

x = 0

there is no functional value for any x smaller than that.

and then the function goes on and on to the right in all eternity. that means it goes to infinity.

so, domain = [0, infinity)

please consider the round bracket at the end, because "infinity" is not a number.

now for the range and the y values.

in this case I start to ask for the largest y value.

y = 4

for no x value do we get a larger y value.

but it goes down and down in all eternity, going also to infinity, but -infinity (down is negative for y).

so, the range = (-infinity, 4]

"-infinity" is also not a number and therefore not included (hence the round bracket).

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

Answer:

Tom:

initial money = $ 39000

% increased per annum = 2.9%

money gained per annum = 39000 * 2.9/100 = $1131

Allen:

initial money = $ 39000

% increased per annum = 5.7 %

money gained per annum = 39000 * 5.7/100 = $2223

Allen has $ (2223 - 1131) = $ 1192 more than Tom

The area of a trapezoid is given by:

Where:

b1 = Short base = 16 in

b2 = Long base = 20 in

h = Height = 10 in

Therefore:

Answer:

180 in²

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

58

Step-by-step explanation:

you have 2 2 by 2 squares and 1 5 by 10 rectangle

Answer: 2.48

Step-by-step explanation:

2.48+4.02=6.5

Answer:

220 squared feet

Step-by-step explanation:

ok so you said the length is 25 and the width is 8 so in area you have to multiply the sides together to get 220 square feet

Answer:

it’s 60

Step-by-step explanation:

what you do is take the two middle numbers 50 and 70 add them both up get 120 then divide by 2 and get 60

Answer:

x > 2

Step-by-step explanation:

Original Equation:

4x + 0.5(2x + 4) > 12

0.5 multiplied by 2x = 1x

0.5 multiplied by 4 = 2

4x + 1x + 2 > 12

4x + 1x = 5x

5x + 2 > 12

Subtract 2 from both sides.

5x > 10

Divide both sides by 5

x > 2

Hope I helped :)

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Answer:

A) For the slope;

Rate of change in profit per change in number of cars washed = 10

B) when he had not washed any car, he was in debt of of $35

C) When he made $255, he had washed 29 cars

Step-by-step explanation:

Slope intercept equation of a line is;

y = mx + c

you made $65 washing ten

cars. Thus, x = 10 and y = 65

So, 65 = 10m + c - - - - (eq 1)

Then after fifteen cars, you made $115.

Thus, x = 15 and y = 115

So; 115 = 15m + c - - - - (eq 2)

Subtract equation 1 from eq(2) to get;

115 - 65 = 15m - 10m + c - c

50 = 5m

m = 50/5

m = 10

Putting 10 for m in eq 1 gives;

65 = 10(10) + c

65 = 100 + c

c = 65 - 100

c = -35

A) Since the slope is m = 10 and slope is m = Δy/Δx, it means that;

Rate of change in profit per change in number of cars washed = 10

B) c = -35 is the y-intercept.

This means when x = 0, y = - 35.

It implies that when he had not washed any car, he was in debt of of $35

C) since we have the slope and intercept, equation is;

y = 10x - 35

If he has made $255,then we have;

255 = 10x - 35

255 + 35 = 10x

290 = 10x

x = 290/10

x = 29 cars washed.

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

B

Step-by-step explanation:

did the course

The equivalent complex expression of \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\) is

\(\frac{1}{32} (cos(\pi)+i~sin(\pi))\)

The correct answer is an option (b)

"The number of the form a + ib, where a, b are real numbers and \(i=\sqrt{-1}\)"

"This theorem gives a formula for computing powers of complex numbers.

\((r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))\) "

For given question,

We have been given a complex expression \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\)

Using the DeMoivre's theorem,

\((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=(\frac{1}{2})^5~((cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=\frac{1}{32} (cos(\frac{5\pi}{5} )+i~sin(\frac{5\pi}{5} )) )\\\\= \frac{1}{32} (cos(\pi)+i~sin(\pi))\)

Therefore, the equivalent complex expression of \((\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\) is

\(\frac{1}{32} (cos(\pi)+i~sin(\pi))\)

The correct answer is an option (b)

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Answer:

previous monthly salary is R 308,550 and increment is R 21,450

Step-by-step explanation:

Let the previous monthly salary be x

Current salary = R 330,000

Percent increase = 6,5%

Increase = 6.5% * 330,000

Increase = 0.065 * 330,000

Increase = Rs21,450

Previous salary = 330,000 - 21,450

Previous salary = 308,550

Hence previous monthly salary is R 308,550 and increment is R 21,450

Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

The value of y for the inequality is y  >  0

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

The inequality 2 times the quantity y plus one third end quantity is greater than two thirds can be written as:

2(y + 1/3) > 2/3

To determine the value of y in the inequality, you need to solve for y. That is:

2(y + 1/3) > 2/3  

y + 1/3 > 1/3     (Divide both sides by 2)

y > 1/3 - 1/3     (Collect like terms)

y > 0

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Answer:

i think it a

Step-by-step explanation:

brailist plz??????????????????

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Here's link to the answer:

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Answer:

2.05

Step-by-step explanation: