a rectangle with a diagonal of length x is twice as long as it is wide. what is the area of the rectangle?

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

The number of miles she should run on Friday is 2 3/4 miles.

Given that, Leah is training to run a half marathon her goal training is to run 20 miles a week. she ran 3 1/2 miles on Monday 4 3/4 miles on Tuesday 5 miles on Wednesday and 4 miles on Thursday.

We need to find how many miles will she need to run on Friday in order to meet her goal.

Follow these steps to add mixed fractions:

Now, the number of miles she ran together from Monday to Thursday

=3 1/2 + 4 3/4 + 5 + 4 =(3+4+5+4)(1/2 + 3/4)

=16 (2/4 + 3/4)

=16 5/4

=17 1/4

Remaining miles = 20-17 1/4

=20-69/4

=(80-69)/4

=11/4

=2 3/4

Therefore, the number of miles she should run on Friday is 2 3/4 miles.

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The acute angle the ladder makes with the ground is 69.3 degrees.

The ladder is 5.1 m and it is leaning against a wall.

The wall is perpendicular to the ground.

This means the ground forms 90 degrees with the wall.

This situation forms a right angle triangle.

Therefore, the acute angle the ladder forms with the ground can be found as follows:

Using trigonometric ratios,

cos ∅ = adjacent / hypotenuse

where

∅ = acute angle

Therefore,

adjacent side = 1.8 m

hypotenuse side = 5.1 m

Hence,

cos ∅ = 1.8 / 5.1

∅ = cos⁻¹ 0.35294117647

∅ = 69.3326835065

∅ = 69.3°

Therefore, the acute angle the ladder makes with the ground is 69.3 degrees.

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Answer: Racing $.50

Pinball $.75

Air Hockey $1.50

Answer: 5.6 repeating

Step-by-step explanation: No explanation added.

It should be noted that Ruby will be able to reach the fish

It should be noted that sea level simply means the sea base level that is used for measuring the elevation and the depth on the Earth.

It should be noted that Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water and Ruby holds a 1-meter long net at 0.5 meter above sea level.

It should be noted that he will be able to each the fish. This will be illustrated as:

=1m - (0.4 + 0.5)

= 1 - 0.9

= 0.1m

Therefore, the long net is enough to reach the fish.

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Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water. If Ruby holds a 1-meter long net at 0.5 meter above sea level. Can she reach the fish?

[tex]\frac{1}{2^{4} }[/tex]  is simple form of the equation.

What in mathematics is a linear equation?

Simply solve this equation = [tex](2^{4}) ^{-1}[/tex]

multiply the powers   = [tex]2^{-4}[/tex]

now right on simple form  = [tex]\frac{1}{2^{4} }[/tex]

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Answer: 699 m^2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9x-27=0

+27. +27

9x=27

x=3

Answer: 24.33 units

Step-by-step explanation: If we appropriately measure the distance between the points we can depict a parallelogram with 2 sides measuring 6.083 units and 2 others measuring 4 units. We multiply 4 x 6.083 and get the area: 24.33 units

Answer: 24

Step-by-step explanation: As the formula to solve this equation is A= 1/2 | [(x1y2) - (x2y1)] + [(x2y3) - (x3y2)] + [(x3y4) - (x4y3)] + [(x4y1) - (x1y4)]

Which would be (with the numbers)

[(-3 x 4) - 1 x 4)] + [(1 x -2) - (0 x 4)] + [(10 x 2) - (-4 x -2)] + [(-4 x 4) - (-3 x -2)]

which lowers down too

(-12 - 4) + (-2 - 0) + (0 - -8) + (-16 - 6)

Then that gets us (absolute values) of

|-16| + |-2| + |8| + |-22|

using absolute values that gets us to

16 + 2 + 8 + 22

Which is equal to 48.

Don't forget to divide by 2 because we need half of it as it says in the beginning of the formula (A = 1/2)

So that gives us the answer of 24.

Hope this helped :)

Also, this could help by labeling each coordinate as a (X, Y) Number

[-3(x1) , 4(y1)}  (you could write the x and y part above it)

And then you go down the list and label each as either x1 , x2 , x3 , x4 (for the left side of comma) and then y1 , y2, y3 , y4 (for the right side of the comma)

The location of the mean and median by letter are C and B, respectively

The given parameter is the density curve that models the distribution of a quantitative variable

From the density curve, we can see that:

The density curve is a right-skewed distribution

In a right-skewed distribution, the median is the middle line and the mean is to the right of the median

This means that

Median = B

Mean = C

Hence, the location of the mean and median by letter are C and B, respectively

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Answer: -2, -6/11

Step-by-step explanation:

[tex]11x^2 +28x=-12\\\\11x^2 +28x+12=0\\\\(11x+6)(x+2)=0\\\\x=-2, -6/11[/tex]

Answer:

f(x) = 2x

Step-by-step explanation:

It is obvious that the relationship between x and y is y = 2x from the numbers given

So equation is f(x) = 2x

Sticker price refers to the published tuition and fees, whereas net price refers to the amount the student actually pays after financial help which is much lower than the sticker price.

The sticker price of a college education is the entire annual cost. This cost covers the whole cost of tuition every year, books, lodging, and board, as well as any other charges the campus may levy, such as a parking permit or library card fee.

In this report, there are two prices listed: a sticker price and a net price. The sticker price of a college education is the entire annual cost. Every year's full tuition, books, housing, and board are included in this amount.

Hence sticker price refers to the published tuition and fees

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Polygon A's area is 1/25 times of Polygon B's area.

In geometry, a polygon is a two-dimensional closed shape with straight sides that is flat or plane. It doesn't have any curved edges.

Now, as per the given question;

The formula of the scale factor is given as;

Area of Polygon B = (scale factor)²×(Area of Polygon A).

The scale factor is given as 5.

(Area of Polygon B)  = (5)²×(Area of Polygon A)

Further simplifying;

(Area of Polygon B) = (25)×(Area of Polygon A)

or,

Area of Polygon A = (1/25)×Area of Polygon B

Therefore, the area of polygon A is found to be 1/25 times times the area of the polygon B.

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Answer:

Step-by-step explanation:

Cyndee invests $50,000 in accounts earning 3%, 5%, and 6% annually, for a total annual return of $2120. She puts twice as much in the first account as in the third. You want to know the amount invested in each account.

Let x represent the amount invested in the third account. Then 2x is the amount invested in the first account, and (50000 -3x) is the amount invested in the second account. The total return is ...

  0.03(2x) +0.05(50000 -3x) +0.06(x) = 2120

Simplifying the equation gives ...

  -0.03x +2500 = 2120

  380 = 0.03x . . . . . . . . . . add 0.03x-2120

  12,666 2/3 = x . . . . . . . divide by 0.03

  2x = 25,333 1/3

  50000 -3x = 12,000

Cyndee should invest 25,333.33 at 3%, $12,000 at 5%, and $12,666.67 at 6%.

If the fixed cost is GHC500, the total profit or loss of producing 100 units is GHC 0.

When the marginal cost (MC) equals the marginal revenue (MR), the company breaks even, and from that point, profit maximization starts.

When MR is more than MC, the tendency is for the firm to produce more and earn more profit, and when MR is less than MC, the firm produces fewer as it incurs losses.

The profit maximization level occurs where the MR and the MC are equal.

Total revenue = fixed cost + variable cost (MR x Units)

Total revenue = 500 + (100 x 250)

Total revenue = 500 + 25,000

Total revenue = GHC 25,500

Total profit or loss at 100 units = GHC0 (GHC25,500 - GHC25,500)

GHC

q (units)     0     20     40     60       80     100      120

MC        260  250   240   200    240     250     270

MR         410  350   300   250    270     250     300

Thus, if the fixed cost is GHC500, the total profit or loss of producing 100 units is GHC 0.

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Answer:

x=1

Step-by-step explanation:

Based on the fact that Gina has $10.00 to spend, if she only buys oranges, the number of oranges she can buy is 29.41176 oranges.

The number of oranges that Gina can buy when she visits her local farm to buy apples and oranges for a fruit salad can be found as:

= Amount that Gina has to spend / Price of oranges

Solving for the total amount of oranges gives:

= 10 / $0.34

= 29.41176 oranges.

The full question is:

Gina visits her local farm stand to buy apples and oranges to make a fruit salad. She has​ $10.00 to spend. If she buys only oranges and oranges are $0.34 how much oranges can she buy

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Given parabola [tex]y=-2(x+3)^{2} +8[/tex]  have vertex (-3,8)

axis of symmetry :x=-3

x intercepts (-1,0),(5,0)

y intercepts (0,-10)

Maximum value (-3,8)

Range is y[tex]\leq 8[/tex] or (-∞,8]

Parabola is increasing in (-∞,-3) and decreasing in (-3,∞)

How to identify parabola type from vertex form and its attributes?

The parabola equation y=ax²+bx+c

The parabola equation in its vertex form is

y = a(x - h)² + k, where

a  is same as the a coefficient in the standard form;

(h, k)  is coordinates of the vertex of parabola

h and k can be calculated as

h = - b/(2a)

k = c - b²/(4a)

If a is negative the parabola opens downward and if a is positive the the parabola opens upward

Axis of symmetry : x= h

For  a parabola y=ax²+bx+c if a<0  then the range is y [tex]\leq k[/tex] and if a>0 then range is y[tex]\geq k[/tex]

For Maximum and minimum value , if a<0 then vertex is the maximum value and if a>0 then vertex is the minimum value.

For given equation [tex]y=-2(x+3)^{2} +8[/tex]

As this equation is in vertex form

h=-3, a=-2, k=8

Therefore, vertex = (-3,8)

For x intercept put y=0

Then [tex]y=-2(x+3)^{2} +8\\y\\=-2x^{2} -12x-10\\y=0\\\\x=-1,-5\\put x=0 \\y= -10[/tex]x intercepts (-1,0),(5,0)

y intercepts (0,-10)

Axis of symmetry : x= -3

[tex]y=-2(x+3)^{2} +8\\y=-2x^{2} -12x-10[/tex]

As a is negative therefore range is y[tex]\leq 8[/tex] or (-∞,8]

As a is negative therefore vertex (-3,8) is the maximum value

f'(x)= -4x-12

f'(x)=0 gives x= -3

f'(x)>0 in (-∞,-3), parabola is increasing in (-∞,-3)

f'(x)<0 in (-3,∞), parabola is decreasing in (-3,∞)

Please find the graph attached.

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Answer:

D. [tex]2^9[/tex]

Step-by-step explanation:

[tex]2^6*2^3 = 2^9[/tex]

We can just add the exponents together.

If it were continued another 120 minutes past this, it would be

[tex]2^9*2^3 = 2^1^2[/tex]

4-3i^2

Step-by-step explanation:

The solution to the inequality is x ≤ 3

The compound inequality is given as:

5x ≤ -30 and 5x ≤ 15

Divide both sides of the individual inequality in the compound inequality by the coefficient of the variable x

So, we have

x ≤ -6 and x ≤ 3

One of the above inequalities can be true

x ≤ 3 is a proper set of x ≤ -6

So, the solution to the inequality is x ≤ 3

See attachment for the graph of the inequality

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Experimental probability of Cindy scoring=0.375

Probability:

Probability is always a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain.

The probabilities in a probability model must sum to 1.

When the outcomes of an experiment are all equally likely, we can find the probability of an event by dividing the number of outcomes in the event by the total number of outcomes in the sample space for the experiment.

To find the probability of the union of two events, we add the probabilities of the two events and subtract the probability that both events occur simultaneously.

To find the probability of the union of two mutually exclusive events, we add the probabilities of each of the events.

The probability of the complement of an event is the difference between 1 and the probability that the event occurs.

In some probability problems, we need to use permutations and combinations to find the number of elements in events and sample spaces.

Formula :

probability of an event with equally likely outcomes : [tex]\frac{n( experimental-event )}{n(total no. of event )}[/tex]

Given :

Total no. of event =Cindy shoots a ball at a basket 40 times

experimental event = 15 times

[tex]P(E)= \frac{15}{40} \\P(E)=\frac{3}{8} \\P(E)= 0.375\\[/tex]

experimental probability of Cindy scoring=0.375

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Using the Empirical Rule, it is found that:

a) About 95% of the organs will be between 250 and 350 grams.

b) 99.7% of organs weighs between 225 grams and 375 grams.

c) 84.15% of organs weighs less than 225 grams or more than 275 grams.

d) 0% of organs weight exactly 275 grams.

It states that, for a normally distributed random variable:

95% of the weights are within 2 standard deviations of the mean, hence:

About 95% of the organs will be between 250 and 350 grams.

For item b, the amounts are within 3 standard deviations of the mean, hence:

99.7% of organs weighs between 225 grams and 375 grams.

For item c, considering the symmetry of the normal distribution, we have that:

Hence:

84.15% of organs weighs less than 225 grams or more than 275 grams.

For item d, considering that the normal distribution is continuous, the percentage of an exact value is 0, hence:

0% of organs weight exactly 275 grams.

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Answer:

[tex]\frac{-10}{7}[/tex]

Step-by-step explanation:

Use the formula

m= [tex]\frac{y2-y1}{x2-x1}[/tex]

another way to say this is Δy divided by Δx

Δ means "change in"

m = slope

The y2 value is -7

The y1 value is 3

The x2 value is 5

The x1 value is -2

Plug those values in the formula

m = [tex]\frac{(-7)-3}{5-(-2)}[/tex]

Simplify

m = [tex]\frac{-10}{7}[/tex]

The slope is [tex]\frac{-10}{7}[/tex]

33.7618% is the geometric mean annual increase for the period

Rate of Increase Over Time(GM)=[tex]\sqrt[n]{value end period / value start period }[/tex] -1

In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. we have to find  the geometric mean annual increase for the period

from 1885 to 2008 that is (2008- 1885=23 ) in 23 years the GM become

therefore n= 23

value of start period = 326030

value of end period = 262359000

rate of increase over time GM= [tex]\sqrt[23]{262359000/326030} -1[/tex]

                                                 = 1.337618 -1

                                                  =0.337618

rate of increase is 33.7618% per year

33.7618% is the geometric mean annual increase for the period

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Answer:

3/30 for 66 lo siento I core help you