The ratio of Harry's money to Lincoln's money is 6:5. If Harry and Lincoln have a total of $715, how much money does Harry have? *

The ordered pairs in the table that correspond to decreasing values of f(x) are (-1, -6) and (2, -18).

A function is a mathematical concept that assigns to each input value (or "argument") exactly one output value (or "image"). In other words, a function is a rule that assigns a unique output for each input value. A function can be represented graphically as a curve, or analytically as a formula. Functions play a central role in many areas of mathematics, science, and engineering.

The graph of f(x) is decreasing when the slope of the function is negative, so we can find the intervals where the function is decreasing by finding the intervals where the derivative of the function is negative.

Since the derivative of f(x) is -3x^2 - 8x + 3, we can find the critical points of the function by setting the derivative equal to zero and solving for x:

-3x^2 - 8x + 3 = 0

x = -1, 1/3

Since the second derivative of the function is 6x + 8, which is always positive, the first derivative of the function is increasing on the interval (-∞, -1) and decreasing on the interval (1/3, ∞), so the original function is decreasing on the interval (-∞, -1) and increasing on the interval (1/3, ∞).

The ordered pairs in the table that correspond to decreasing values of f(x) are (-1, -6) and (2, -18).

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Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

Answer:

1+xy-13 that is you answer

Josie has more race to complete.

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is \(\frac{1}{2}\).

Given Data

Josie has completed \(\frac{8}{25}\)

Caroline has completed 40%

Converting percentage into fraction,

\(\frac{34}{100}\)

Simplifying,

\(\frac{17}{50}\)

For comparing, we need to have same denominators.

So,

\(\frac{8}{25}\) ×\(\frac{2}{2}\)

\(\frac{16}{50}\)

\(\frac{17}{50}\) > \(\frac{16}{50}\)

Josie has more race to complete.

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The value of k that makes the given vectors orthogonal is k = -10/3.

To find the value of k for which the given vectors are orthogonal, we need to use the dot product formula and set it equal to zero since orthogonal vectors have a dot product of zero.

Two vectors are orthogonal if their dot product is equal to zero. Let's calculate the dot product of the given vectors:

[[-4], [-1], [-3], [-3]] • [[5], [0], [2k]]

= (-4)(5) + (-1)(0) + (-3)(2k) + (-3)(0)

= -20 - 6k

We need this dot product to be equal to zero:

-20 - 6k = 0

-6k = 20

k = -20/6 = -10/3

Therefore, the value of k that makes the given vectors orthogonal is k = -10/3.

To learn more about Two vectors are orthogonal if their dot product is equal to zero. Let's calculate the dot product of the given vectors:

[[-4], [-1], [-3], [-3]] • [[5], [0], [2k]]

= (-4)(5) + (-1)(0) + (-3)(2k) + (-3)(0)

= -20 - 6k

We need this dot product to be equal to zero:

-20 - 6k = 0

-6k = 20

k = -20/6 = -10/3

Therefore, the value of k that makes the given vectors orthogonal is k = -10/3.

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Answer:

9

Step-by-step explanation:

using pemdas, you add the () first which gives you 3. then going in order you divide 6 by 2 which gives you 3. then your left with 3 times 3 which is 9

Answer:

1

Step-by-step explanation:

When solving an expression with different operations, we evaluate:

1. Brackets (This has to take the top priority in any expression with brackets, do the divisions and multiplications in the brackets first before the additions and subtractions if any)

2. Divisions and Multiplication (Do from left to right)

3. Addition and Subtraction (Do from left to right)

6 ÷ 2(1+2) = 6 ÷ 2(3)

                = 6 ÷ 6

                = 1

Answer:

The answer is 71.67

Step-by-step explanation:

I=PRT

P=2500

r=4.3%

t=8months which is two thirds of a year

2500×4.3%×2/3

I=71.67

Answer:

i need the graph

Step-by-step explanation:

graph?

Answer:

( - ∞, ∞ )

Step-by-step explanation:

The domain of the function is all values of x , that is

- ∞ < x < ∞ , or in interval notation

(- ∞, ∞ )

Answer:

yes, no, yes, no

Step-by-step explanation:

the first two are correct, try an example for 2 and 3

b = a - 5 yes

if a = 5 and b = 0

5 - 5 = 0

a = b - 5 no

if a = 5 and b = 0

5 = 0 - 5 which is not true 5 doesnt equal -5

Answer:

The answer would be y=3.5x+7

Step-by-step explanation:

This is because there is a one-time fee of $7, meaning there is no x attached with it. 3.5 has an x with it because it is 3.5 per hour, and not just one time. Hope this helps! :)

For Fatima's claim, No, the distribution is uniform with a median of 0.5 field goal percentage.

Fatima's claim is not supported by the table. The table shows that the probability of a player making 0.4 field goals is 0.2, while the probability of a player making 0.5 field goals is 0.3. This means that the distribution is not uniform, and the median is not 0.4. The median is the value in the middle of the distribution, and in this case, the median is 0.5. This is because there are more players who make 0.5 field goals than there are players who make 0.4 field goals.

The distribution is also not skewed to the right. A skewed distribution is one in which the majority of the values are on one side of the median. In this case, the values are evenly distributed on both sides of the median.

Therefore, Fatima's claim that the distribution is uniform with a median of 0.4 field goal percentage is not supported by the table.

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Answer:

0,4

Step-by-step explanation:

When you graph 0,4 it is coordinated in the y coordinate.

I did the K12 Test and got a 100.

Hope It Helps

Answer:

The number of adults that said exactly one coping mechanism are 25 adults

Step-by-step explanation:

Total number of adult in the group = 60 adults

The number that go on vacation vacation = 34

The number that go for a smoke break = 27

The number that listen to music = 41

The number that go for a vacation and smoke = 13

The number that smoke and listen to music = 16

The number that go for a vacation and listen to music = 20

The number that said two of the coping mechanism = 28

Set theory

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

Given that the following relations;

n(A∪B∪C) = 60

n(A) = 34

n(B) = 27

n(C) = 41

n(A∩B) = 13

n(A∩C) = 20

n(B∩C) = 16

Therefore;

60 = 34 + 27 + 41 -13 -  20 - 16 + n(A∩B∩C)

∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 -  20 - 16) = 7

Given that 28 said exactly 2, we have;

Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3

Total number of respondents = 60

Those that said exactly 2 = 28

Those that said exactly 3 = n(A∩B∩C) = 7

Therefore;

60 = Those that said exactly 1 + 28 + 7

Those that said exactly 1 = 60 - (28 + 7) = 25

Alternatively, we have;

Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C))  + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))  

= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25

60 - 28 - 7 = 25

The number of adults that said exactly one coping mechanism = 25.

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

If the measures of the three angles of a triangle are x, x + 10, and 2x - 6, the triangle must be isosceles.

In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up the equation:

x + (x + 10) + (2x - 6) = 180

Combine the terms:

4x + 4 = 180

Subtract 4 from both sides:

4x = 176

Divide by 4:

x = 44

Now, we can find the measures of the other two angles:

x + 10 = 44 + 10 = 54
2x - 6 = 2(44) - 6 = 88 - 6 = 82

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

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Answer:

Your answer should be 4:9

Step-by-step explanation:

Good luck.

Answer:

\(b_1 \approx 7.2\)

\(b_2 \approx 14.4\)

Step-by-step explanation:

Given

\(Area = 65cm^2\) --- Area of the triangle

\(b_2 = 2b_1\) --- the bases of the trapezoid

The missing parameters is:

\(h=6 cm\) --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

\(Area = \frac{1}{2}(b_1 + b_2) *h\)

So, we have:

\(65 = \frac{1}{2}(b_1 +b_2) * 6\)

Substitute\(b_2 = 2b_1\)

\(65 = \frac{1}{2}(b_1 +2b_1) * 6\)

\(65 = \frac{1}{2}(3b_1) * 6\)

\(65 = 3b_1 * 3\)

\(65 = 9b_1\)

Solve for \(b_1\)

\(b_1 = \frac{65}{9}\)

\(b_1 \approx 7.2\)

Substitute \(b_1 \approx 7.2\) in \(b_2 = 2b_1\)

\(b_2 \approx 2 * 7.2\)

\(b_2 \approx 14.4\)

Answer:

(-9, -5)

Step-by-step explanation:

Answer:

3 triangles have adjacent leg to hypotenuse ratios of approximately 0.91.

Step-by-step explanation:

We can rewrite the quadratic equation into:

(x - 1)² - 5

so:

c = -1

d = -5

We want to rewrite the quadratic equation into the vertex form, to do so, we just need to complete squares.

Here we start with:

x² - 2x - 4

Remember the perfect square trinomial:

(a + b)² = a² + 2ab + b²

Using that, we can rewrite our equation as:

x² + 2*(-1)*x - 4

Now we can add and subtract (-1)² = 1 to get:

x² + 2*(-1)*x + (-1)² - (-1)² - 4

(x² + 2*(-1)*x + (-1)²) - (-1)² - 4

(x - 1)² - 1 - 4

(x - 1)² - 5

So we can see that:

c = -1

d = -5

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

The value of x = 0    

Step-by-step explanation:

Given

To determine

The value of x = ?

If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).

i.e. y → 5×4 =20

It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.

Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.

i.e. x → 4×0 = 0

Thus, the rule of dilation is:

P(x, y) = P'(4x, 4y)

Hence,

B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)

Thus,

The value of x = 0           ∵ 0×4 = 0

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The value of the principal investment is given as follows:

$5,725.90.

The amount of money earned, in compound interest, after t years, is given by:

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

In which:

The parameters for this problem are given as follows:

t = 15, A(t) = 12065.51, r = 0.05, n = 4.

Hence the principal can be obtained as follows:

P(1 + 0.05/4)^(4 x 15) = 12065.51

2.1072P = 12065.51

P = 12065.51/2.1072

P = $5,725.90

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Answer:

(x-4)(x+5)

Step-by-step explanation:

Find 2 numbers knowing sum (1) and product (-20). To find them, factor pairs of (-20) --> (-2,10) (-4,5). This sum is 1=b. Then, these 2 numbers are: - 4 and 5. Y=(x-4) (x+5). Hope this helped :)