Five years ago, Charlie was twice older than Priya. What are their ages now if in 3 years the sum of their ages will be 76?
Tysm!

Step-by-step explanation:

1.5/4x-1=0.4/x+4

We move all terms to the left:

1.5/4x-1-(0.4/x+4)=0

Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R

Domain of the equation: x+4)!=0

x∈R

We get rid of parentheses

1.5/4x-0.4/x-4-1=0

We calculate fractions

(1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0

We add all the numbers together, and all the variables

(+1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0

We add all the numbers together, and all the variables

(+1.5x)/4x^2+(-0.4*4x)/4x^2-5=0

We multiply all the terms by the denominator

(+1.5x)+(-0.4*4x)-5*4x^2=0

Wy multiply elements

-20x^2+(+1.5x)+(-0.4*4x)=0

We get rid of parentheses

-20x^2+1.5x-0.4*4x=0

Answer:

x=0

Step-by-step explanation:

a) The probability of selecting 3 red balls, 2 blue balls, and 2 green balls can be calculated using the formula for hypergeometric distribution:

P(3R, 2B, 2G) = (C(12,3) * C(16,2) * C(18,2)) / C(46,7)

where C(n,r) denotes the number of combinations of n items taken r at a time.

Evaluating this expression gives:

P(3R, 2B, 2G) = (220 * 120 * 153) / 45379620

P(3R, 2B, 2G) ≈ 0.0491

Therefore, the probability of selecting 3 red balls, 2 blue balls, and 2 green balls is approximately 0.0491.

b) The probability of selecting at least 2 red balls can be calculated by adding the probabilities of selecting 2, 3, or more red balls:

P(≥2R) = P(2R) + P(3R) + P(4R) + P(5R) + P(6R) + P(7R)

where

P(2R) = (C(12,2) * C(34,5)) / C(46,7)

P(3R) = (C(12,3) * C(34,4)) / C(46,7)

P(4R) = (C(12,4) * C(34,3)) / C(46,7)

P(5R) = (C(12,5) * C(34,2)) / C(46,7)

P(6R) = (C(12,6) * C(34,1)) / C(46,7)

P(7R) = (C(12,7) * C(34,0)) / C(46,7)

Evaluating these expressions gives:

P(≥2R) = (66 * 2600155) / 45379620 + (220 * 4311615) / 45379620 + (495 * 252300) / 45379620 + (792 * 46376) / 45379620 + (924 * 1820) / 45379620 + (792 * 1) / 45379620

P(≥2R) ≈ 0.7689

Therefore, the probability of selecting at least 2 red balls is approximately 0.7689.

c) The probability of selecting all balls of the same color can be calculated by adding the probabilities of selecting all red, all blue, or all green balls:

P(all same color) = P(all red) + P(all blue) + P(all green)

where

P(all red) = (C(12,7)) / C(46,7)

P(all blue) = (C(16,7)) / C(46,7)

P(all green) = (C(18,7)) / C(46,7)

Evaluating these expressions gives:

P(all same color) = (792) / 45379620 + (11440) / 45379620 + (31824) / 45379620

P(all same color) ≈ 0.0011

Therefore, the probability of selecting all balls of the same color is approximately 0.0011.

d) The probability of selecting exactly 3 red balls or exactly 3 blue balls can be calculated by adding the probabilities of selecting 3 red balls and the probabilities.

P(3R or 3B) = P(3R) + P(3B)

where

P(3R) = (C(12,3) * C(34,4)) / C(46,7)

P(3B) = (C(16,3) * C(30,4)) / C(46,7)

Evaluating these expressions gives:

P(3R) = (220 * 423396) / 45379620

P(3B) = (560 * 27405) / 45379620

P(3R or 3B) ≈ 0.1021

Therefore, the probability of selecting exactly 3 red balls or exactly 3 blue balls is approximately 0.1021.

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Answer:

21x^2

Step-by-step explanation:

I think it should be 21x^2

(−2/3x)(21/2)x(−3)

Answer:21\(x^{2}\)

Step-by-step explanat

Answer:

\( \frac{ - 1 {n}^{7} }{8} \)

Step-by-step explanation:

1.) expand the denominator

\( ( - 2 {n}^{4} ) ^{3} \)

\( { - 2}^{3} {n}^{4 \times 3} \)

\( = - 8 {n}^{12} \)

2.)simplify

\( {n}^{5} \div - 8 {n}^{12} \)

\( = \frac{1}{ - 8 {n}^{ - 7} } \)

\( = \frac{ - 1 {n}^{7} }{8} or \: \frac{ {n}^{7} }{ - 8} \)

Answer:

the answer is 111

Step-by-step explanation:

\(180 - 36 - 75 = 69\)

\(180 - 69 = 111\)

Answer:

x = 111°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 75° + 36° = 111°

True. If the derivative of the function f(x) exists and is nonzero for all values of x, then the function must be continuously increasing or decreasing.

Therefore, the value of f(8) will not be equal to the value of f(0), unless the function is a constant function.

To determine whether the statement is true or false, we can analyze it step by step.

1. The condition given is that f'(x) exists and is nonzero for all x. This means that the function f(x) is differentiable and has a nonzero slope everywhere.

2. If a function is differentiable everywhere, it is also continuous everywhere. This is because differentiability implies continuity.

3. However, the condition that f'(x) is nonzero for all x does not guarantee that f(8) ≠ f(0). It is possible for a function to be differentiable and have a nonzero derivative everywhere, yet still have equal values at two distinct points.

Therefore, the statement is False.

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Answer:

It's B. (2x+5) (x+4)

Answer:

b

Step-by-step explanation:

2x²+13x+20

You can just try all the answers if you'd like and see which one equals 2x²+13x+20.

Using FOIL for all of them:

a. (2x-5)(x-4) = 2x²-8x-5x+20 = 2x²-13x+20

b. (2x+5)(x+4) = 2x²+8x+5x+20 = 2x²+13x+20

c. (2x+2)(x+10) = 2x²+20x+2x+20 = 2x²+22x+20

d. is obviously not correct since we already have an answer.

Our answer is b. (2x+5)(x+4)

Answer:

The constant of proportionality is 1/4.

Step-by-step explanation:

Keep in mind that the constant of proportionality can always be found by dividing any y value by any x value, as long as the values are in the same row. For example, in this table, the constant of proportionality would be 1/4, as, in the first row, the y value is 2 and the x value is 8, and 2/8 equals 1/4.

Hope this helps! Comment any questions <3

Answer:

x=Jose's age

y=Mary's age

y=4x-3

Step-by-step explanation:

The experimental (empirical) probability that the next child is a boy given that a family has five children: 3 boys and 2 girls is 0.6.

Given that the family has five children, 3 of whom are boys and 2 are girls. If we want to know the experimental probability that the next child is a boy, we need to find the ratio of the number of boys to the total number of children. Since the family has three boys and two girls, the total number of children is:
Total number of children = 3 + 2 = 5
Therefore, the probability of the next child being a boy is given by the ratio of the number of boys to the total number of children.
P(B) = Number of boys/Total number of children
P(B) = 3/5P(B) = 0.6
Therefore, the experimental (empirical) probability that the next child is a boy is 0.6.

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6(9+5)

Step-by-step explanation:

Answer:

yx2x4y i believe

Step-by-step explanation:

Answer:

So since the sum of both is 13 because it shows both of the lines connected as a length of lines.

So we add them (14+x)+(x+15) = 13

14+2x+15 = 19+2x = 13

-6=2x

x=

-3

Step-by-step explanation:

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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A:

16a^2-24a+9

16a^2-12a-12a+9

4a(4a-3)-3(4a-3)

(4a-3)(4a-3)

(4a-3)^2

(4a-3)^2

B: Use difference of squares method

(3a+5b)(3a−5b)

Part A: The length of each side of the square is (4a - 3) units.

Part B: The dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).

Part A:

The area of a square is given by the formula A = s^2, where "s" is the length of each side of the square. In this case, the area is (16a² - 24a + 9) square units.

To determine the length of each side of the square, we need to factor the area expression completely and set it equal to (s^2).

The area expression is a quadratic trinomial: 16a² - 24a + 9.

To factor the trinomial, we look for two binomials that, when multiplied together, give us the original trinomial. The binomials will have the form: (ma ± b)(na ± c).

To factor 16a² - 24a + 9, we look for two numbers whose product is 16 * 9 = 144, and whose sum is -24 (the middle coefficient).

The two numbers are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.

Now, rewrite the middle term (-24a) using -12a - 12a:

16a² - 12a - 12a + 9

Group the terms and factor by grouping:

(16a² - 12a) - (12a - 9)

Now, factor out the greatest common factor (GCF) from each group:

4a(4a - 3) - 3(4a - 3)

Now, notice that we have a common binomial factor of (4a - 3):

(4a - 3)(4a - 3)

Since both binomials are the same, we can rewrite it as (4a - 3)^2.

Now, set (4a - 3)^2 equal to (s^2):

(4a - 3)^2 = s^2

To find the length of each side (s), take the square root of both sides:

√((4a - 3)^2) = √(s^2)

4a - 3 = s

Therefore, the length of each side of the square is (4a - 3) units.

Part B:

The area of a rectangle is given by the formula A = length * width. In this case, the area is (9a² - 25b²) square units.

To determine the dimensions of the rectangle, we need to factor the area expression completely and identify the length and width.

The area expression is a difference of squares: 9a² - 25b².

To factor a difference of squares, we use the formula: a² - b² = (a + b)(a - b).

In this case, a = 3a and b = 5b:

9a² - 25b² = (3a + 5b)(3a - 5b)

Therefore, the dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).

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Answer:

x = - 7

Step-by-step explanation:

- 2x = 5 + 9

- 2x = 14

x = - 14 / 2

x = - 7

Hope this answer helps you  :)

Have a great day

Mark brainliest

Answer:

x ≤ -7

Step-by-step explanation:

−2x−9 ≥ 5

add 9 to both sides

-2x -9 +9 ≥ 5+9

-2x ≥ 14

divide -2 on both sides

since we're dividing by a negative number we need to flip our inequality sign

-2x/-2 ≥ 14/-2

x ≤ -7

Answer: 28

Step-by-step explanation: Plugging them in, it would be -2 - (-6)(5).

- 2 - (-30)

-2 + 30

28

Answer:

Step-by-step explanation:

The y-intercept is the point where the graph cuts the y axis - that is when x = 0.

f(x)=138⋅1.9x

ehen x = 0 f(x) = 0 so the y-intercept is at (0, 0).

The answer is B, Graph B is the linear graph

(i) The remainder is -12.

(ii) Concluded that x - 3 is a factor of p(x).

(iii) It can be express p(x) as (x - 3)(x² - x + 1).

c) The equation x(x - 2)² = 3 has only one real root, which is x = 3.

(i) To find the remainder when p(x) = x³ - 4x² + 4x - 3 is divided by x + 1, we can use synthetic division, which is shown in the attached image.

Here, the remainder is -12.

(ii) According to the Factor Theorem, if (x - a) is a factor of a polynomial p(x), then p(a) = 0.

Substitute x = 3 into p(x) to verify if x - 3 is a factor:

p(3) = 3³ - 4(3)² + 4(3) - 3

= 27 - 36 + 12 - 3

= 0

Since p(3) = 0, we can conclude that x - 3 is a factor of p(x).

(iii) Using the factor we found in part (ii), we can divide p(x) by (x - 3) using long division or synthetic division:

We obtain a quotient of x² - x + 1 and no remainder.

Therefore, we can express p(x) as (x - 3)(x² - x + 1).

(c) Now let's consider the original equation x(x - 2)² = 3.

We know that x = 3 is a root of p(x) = x³ - 4x² + 4x - 3, which means it satisfies the equation p(x) = 0.

Hence, x = 3 is a solution to the equation x(x - 2)² = 3.

Since (x - 3) is a factor of p(x) and the quadratic factor (x² - x + 1) does not have any real roots, the equation x(x - 2)² = 3 has only one real root, which is x = 3.

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Answer:

Step-by-step explanation:

x-values approach x = -2, but do not touch the vertical line x = -2.  All other x-values are permitted.  Thus, the domain is (-2, infinity).

Given the curve:

You need to find the equation for the tangent to that curve at the point:

Then, you need to follow these steps:

1. Derivate the function given in the exercise using these Derivative Rules:

Where "k" is a constant.

Then, you get:

2. Substitute this value of the x-coordinate of the given point into the derivated function and then evaluate, in order to find the slope of the line:

4. The Point-Slope Form of the equation of a line is:

Where "m" is the slope of the line and this point is on the line:

In this case:

Therefore, you can substitute values:

5. Convert the equation from Point-Slope Form to Slope-Intercept Form.

The equation of a line in Slope-Intercept Form is:

Where "m" is the slope and "b" is the y-intercept.

Then, by solving for "y", you get:

Hence, the answer is:

1. Derivate the function.

2. Find the slope of the tangent line by substituting the x-coordinate of the given point into the function derivated.

3. Write the equation of the tangent line in Point-Slope Form using the given point and the slope.

4. Rewrite the equation in Slope-Intercept Form by solving for "y".

Equation for the tangent of the curve:

Answer:

are you doing angles or are u trying to figure out the question mark at the top???

Step-by-step explanation:

The answer is that there are no such two numbers that satisfy the given conditions.

To determine the values of a and b, we need to find the factors of -15 that add up to 5. The factors of -15 are -1, 1, -3, 3, -5, and 5. We can try different combinations of these factors to see which pair satisfies the conditions.

If we take a = -3 and b = 5, we have a + b = -3 + 5 = 2, which is not equal to 5. Similarly, for other combinations, we find that none of them satisfy the condition of adding up to 5.

Therefore, there are no two numbers that add to 5 and multiply to -15.

In this case, -15 is a prime number, meaning it has no factors other than 1 and itself. Therefore, it cannot be expressed as a product of two numbers. As a result, we cannot find two numbers that both add to 5 and multiply to -15.

The answer is that there are no such two numbers that satisfy the given conditions.

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Answer:

1.2×10^3

Step-by-step explanation:

so there it is

Answer:

look it up on slader.com thats the sams problem that i have had before and it worked on slader.

Answer:

30 crayons

Step-by-step explanation:

Let x be the number of crayons he started with

gave out 14 crayons

x-14

Got 12 back

x-14+12

Gave out 11 after lunch

x-14+12 -11

This equals 17

x-14+12 -11 =17

Combine like terms

x-13 = 17

Add 13 to each side

x -13+13 =17+13

x = 30

Answer: 30

Step-by-step explanation:

For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!

The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.

We introduce the results of a

May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,

71% of the men and 67% of the women in the sample responded yes. In the test for a difference in

proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant

Solution

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the

proportions of men and women that view divorce as “morally acceptable”

Solution

(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall

for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean

for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to

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Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64