blue monkeys are swimming with 20 red and 30 black the total is 1000 how many are blue monkeys.

Answer:

I believe it's the last option, (-1/4, 5/8)

Step-by-step explanation:

Have a good day! :)

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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An equation that describes the graph include the following: C. y = |x – 1| + 2.

In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the numerical value on the x-coordinate of the pre-image while the translation of a graph upward simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x) = |x|, g(x) or y would be created by translating f(x) one (1) unit to the right and two units upward as follows;

f(x) = |x|

g(x) = f(x - 1) + 2

y = |x – 1| + 2

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.

To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.

Let's examine the chart and count the number of times each sum occurs:

Sum: 2, Occurrences: 1

Sum: 3, Occurrences: 2

Sum: 4, Occurrences: 3

Sum: 5, Occurrences: 4

Sum: 6, Occurrences: 5

Sum: 7, Occurrences: 6

Sum: 8, Occurrences: 5

Sum: 9, Occurrences: 4

Sum: 10, Occurrences: 3

Sum: 11, Occurrences: 2

Sum: 12, Occurrences: 1

Now, let's calculate the probabilities of each sum occurring.

Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:

Probability of sum 2 = 1/36

Probability of sum 3 = 2/36

Probability of sum 4 = 3/36

Probability of sum 5 = 4/36

Probability of sum 6 = 5/36

Probability of sum 7 = 6/36

Probability of sum 8 = 5/36

Probability of sum 9 = 4/36

Probability of sum 10 = 3/36

Probability of sum 11 = 2/36

Probability of sum 12 = 1/36

To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.

For example, to find the expected number of times the sum is 7:

Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30

Similarly, we can calculate the expected occurrences for all other sums.

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The slope formula rise/run is used to get the slope from a graph. When shown a line's graph and asked to determine its equation.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line.

The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.

We will comprehend the slope-finding method and its applications in this article.

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Answer: 1:2, 2:4, 3:6, 4:8, 5:10, 6:12, 7:14, 8:16, 9:18, 10:20, 11:22, 13:26, 14:28, 15:30

Step-by-step explanation:

These r just a few.

Hope this helps :)

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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Answer:

Step-by-step explanation:

Proportion Given

5/2 = 15/x      

Solution

5/2 = 15/x               Cross multiply

5x = 2 * 15              Combine

5x = 30                   Divide by 5

5x/5 - 30/5            

x = 6

Answer: 6

Looking at this problem, it looks like we are given a ratio and inside of that ratio we are given an unknown variable, x, which we need to determine. The first thing that we should do is convert this into a fraction where the first number is the numerator and the second number is the denominator.

Convert to fractions

Now that we have an equation set-up, we can now cross multiply which will give us the ability to then solve for x and get the value of the unknown.

Cross-Multiply

We now have a simple equation which is easy to solve and can be done by dividing both sides by 5.  This would remove the coefficient in front of the unknown variable and allow us to see the value of the unknown.

Divide both sides by 5

After simplifying the expression we were able to determine that the unknown value of x would be equal to 6 using cross-multiplication and simple math.

Answer:

23

Step-by-step explanation:

Thus, the boat travels x = 139.18 miles in North direction  and y = 143.62 miles east from the harbor.

It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.

As indicated below, we must determine how far east and north the boat has moved relative to the harbour.

X miles north:

cos 51 = x/200

x = 200*cos51

x = 139.18 miles

y miles east:

sin 53 = y/200

y = 200*sin 51

y = 143.62 miles

Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.

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Answer:

complementary

Step-by-step explanation

Im not positive but theres a high chance its B

The solution that can be used to fill in location A is 45%.

In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.

To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.

In this case, the concentration of 45% is closer to location A than the concentration of 20%.

This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.

Therefore, the solution that can be used to fill in location A is 45%.

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Answer:

Answer is...D)

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

Hope This Helps<3

The side of the length will be x = √m square inches.

The area of the square and rectangle is -

Square = [x]²           {x is the side of a square]

Rectangle = L x B    {L is the length and B is breadth}

Given is Lisa who is decorating outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is [m] square inches.

It is given that the the area of the square is [m] square inches.

Assume that the length of the side is [x] inches.

x² = m

x = ±√m

Side cannot be negative. Therefore, the side of the length will be -

x = √m

Therefore, the side of the length will be x = √m square inches.

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B. A secant line can intersect a circle at three points

Since in the case of a circle, a secant line intersects the circle at exactly two points (not three points). So this statement is untrue.

The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer:

The population decreases by 140 in the next year.

Step-by-step explanation:

The increase that has no overall change in population cannot change the original amount of people there in the first place. If the population decreases by 140 in the next year, then there is no net gain or loss.

Answer:

4,096

Step-by-step explanation:

=4^8 / 4^2

=4^6

=4,096

The price variance is -$70, the quantity variance is $320, and the total direct materials cost variance is $250.

How to calculate the price variance?

To calculate the price variance, quantity variance, and total direct materials cost variance, we need to know the standard quantity and standard price of the LCD displays.

The standard quantity of LCD displays is 650 (the actual number of tablets produced), and the standard price is $6.40.

The actual quantity of LCD displays used is 700, and the actual price paid is $4,410 / 700 = $6.30.

Using these values, we can calculate the variances:

Price variance

= Actual amount x (Actual price - Standard price)

= ($6.30 - $6.40) x 700

= -$70

The negative value of the price variance indicates that the actual price paid was lower than the standard price.

Quantity variance

= (Actual AMOUNT- Standard quantity) x Standard price

= (700 - 650) x $6.40

= $320

The positive value of the quantity variance indicates that more materials were used than expected.

Total direct materials cost variance

= Price variance + Quantity variance

= -$70 + $320

= $250

Therefore, the price variance is -$70, the quantity variance is $320, and the total direct materials cost variance is $250.

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Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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Answer:

The first answer

Step-by-step explanation:

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.