5. 50)700
Can u help me with this I don’t understand

Answer:

C. Actual temperature of 57.1°F when the cricket has chirped 116 times

Explanation:

The x-axis represents the number of chirps per minute.

The values on the y-axis represent the temperature (in °F).

Given the point (116, 57.1)

• The number of chirps per minute = 116

• Temperature = 57.1°F

Thus, the point (116, 57.1) represent an actual temperature of 57.1°F when the cricket has chirped 116 times.

The maximum number of barrels per day imported in september 2003 was 1.72 million

To find the year when oil imports were greatest, we need to find the maximum value of the function I(t) = -0.015t^2 + 0.1t + 1.4, where t is in years since the start of 2000.

The maximum value of a quadratic function occurs at the vertex, which has x-coordinate equal to -b/2a for a function in the form \(ax^2 + bx + c.\)For this function, a = -0.015 and b = 0.1, so the x-coordinate of the vertex is:

x = -b/2a = -0.1 / (2*(-0.015)) = 3.33

Since t is in years since the start of 2000, the year when oil imports were greatest is 2003.33 (or approximately September 2003).

To find the number of barrels per day imported that year, we can simply plug in t = 3.33 into the function I(t):

\(I(3.33) = -0.015(3.33)^2 + 0.1(3.33) + 1.4\)= 1.72 million barrels per day

Therefore, the maximum number of barrels per day imported was approximately 1.72 million, and this occurred in September 2003.

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The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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Answer:

5, 6, 9, 15

Also:

Plz mark me brainliest :)

Answer:

3:5, 6:10, and 9:15

Step-by-step explanation:

86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

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Answer:116.886

Step-by-step explanation:multiply all the sides then devide by 1/2

Answer:

15.312

Step-by-step explanation:

The height that will minimize the amount of tin that will be required to construct is 4 inches.

Given that,

It is necessary to build a cylindrical, open-top container with a 167 cubic inch volume.

To find : What height will result in the least amount of tin being used to make the can? ?

V = πr^2h. Eq1. And. A =2πr^2 +2πrh. Eq2

From Eq1 h = V/πr2. Eq3

Sub Eq3 into Eq2

Then A = 2πr^2 + 2πr ×(V/πr^2). And V =16π

So A = 2πr^2 + 32π/r

dA / d r = 4πr - 32π/r^2 = 0 at max/ min

r^3 -8 =0

r^3 =8

r= 2. sub into Eq3

h = 16π/ π×2^2

h=4 inches

Therefore, 4 inches is the height that will require the least amount of tin to build.

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Answer:

1.5

Step-by-step explanation:

yo need to divide and the graph

To find the equation of the tangent line to the curve y = tan²(2x) at x = π/4, we need to determine the slope of the tangent line at that point and then use the point-slope form of a line to write the equation.

First, let's find the derivative of y with respect to x. Using the chain rule, we have:

dy/dx = 2tan(2x) sec²(2x).

Now, let's substitute x = π/4 into the derivative:

dy/dx = 2tan(2(π/4)) * sec²(2(π/4))

      = 2tan(π/2) * sec²(π/2)

      = 2(∞) * 1

      = ∞.

The derivative at x = π/4 is undefined, indicating that the tangent line at that point is vertical. Therefore, the equation of the tangent line is x = π/4. Note that the equation y = 2/tan(2x) (sec²(2x) + 1/2) is not the equation of the tangent line, but rather the equation of the curve itself. The tangent line, in this case, is vertical.

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Answer:

(-13, -3)

Step-by-step explanation:

Elimination is used to get either the y or the x to cancel out in both equations. In this case, you'd have to multiply the first equation by -3, so it would be 9x + 21y = -54. Now that you did that, you can "subtract" the two equations. 9x - 9x = 0 (they cancel each other out). 21y - 2y = 19y. -54 - 3 = -57. Now that we're left with 19y = -57, let's find out what y is by solving out the equation. The answer would be y = -3. Now that we have this info, we can substitute the y in one of the two equations to find the x. I'm going to use the first equation. -3x - 7(-3) = 18 --> -3x + 21 = 18 --> -3x = 39. The result is x = -13. Therefore, the answer is (-13, -3).

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−3)−x−1=3x−12

Step 1: Simplify both sides of the equation.

4(x−3)−x−1=3x−12

(4)(x)+(4)(−3)+−x+−1=3x+−12(Distribute)

4x+−12+−x+−1=3x+−12

(4x+−x)+(−12+−1)=3x−12(Combine Like Terms)

3x+−13=3x−12

3x−13=3x−12

Step 2: Subtract 3x from both sides.

3x−13−3x=3x−12−3x

−13=−12

Step 3: Add 13 to both sides.

−13+13=−12+13

0=1

The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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Answer: 0.88 lbs.

Step-by-step explanation:

12/30 = 0.4 (she needs to lose 0.4 kg everyday)

0.4 x 2.2 = 0.88 lbs

Answer:

40

Step-by-step explanation:

let the number be 'x'

95 % of x = 38

(95 / 100)x =38

x = 38 × 100 / 95

x = 2 × 100 / 5

x = 2 × 20

x = 40

The requreid solution to the trigonometric problem is,
1. a = 4 and b = 2√2
2. x = 2√2 and y = 2√2
3. y = 3√2/2 and x = 3

1.

In the figure we have,
perpendicular = 2√2
base = b
hypotenuse = a

Using trigonometric ratios,

sin45 = 2√2/a
1/√2 = 2√2/a
a = 2 × 2
a = 4

Now,
tan45 = 2√2/b
1 = 2√2 / b
b = 2√2

Similarly,
2. x = 2√2 and y = 2√2
3. y = 3√2/2 and x = 3

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Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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The reasonable solutions for this situation is (1, 3.5) and (2, 2)

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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If the diagonals of a quadrilateral divide each other proportionally, it is a trapezium.

Let's consider a quadrilateral ABCD, where the diagonals AC and BD intersect at point E. If the diagonals divide each other proportionally, it means that AE/CE = BE/DE.

To prove that the quadrilateral is a trapezium, we need to show that one pair of opposite sides is parallel.

Using the proportionality condition, we can rewrite it as (AE/CE) = (BE/DE) = 1.

By the Converse of the Basic Proportionality Theorem, we know that if two lines are cut by a transversal such that corresponding angles are equal, then the lines are parallel. In this case, AE is parallel to CD, and BE is parallel to AD.

Therefore, we have shown that AB || CD, which is the definition of a trapezium.

If the diagonals of a quadrilateral divide each other proportionally, it can be concluded that the quadrilateral is a trapezium.

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The length of the hypotenuse side of the right angled triangle is 25 cm.

As per the given question;

Area of the right angles triangle = 84 cm².

The base is 7 cm.

Let the height of the triangle is 'p'.

The hypotenuse of the triangle be 'H'.

The formula for the area is;

A = (1/2)×base×perpendicular

Put the values;

84 = (1/2)×7×perpendicular

Perpendicular = 84×2/7

Perpendicular = 24 cm

In the right angled triangle, using Pythagoras theorem;

H² = B² + P²

Put the values;

H² = 7² + 24²

H² = 49 + 576

H² = 625

H = 25

Thus, the length of the hypotenuse side of the right angled triangle is 25 cm.

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Out of the following, the statement Excel can add only linear trendlines to data in a scatter chart is  true  regarding   trendlines in scatter chart in excel.This means that the trendline in Excel will be a straight line that will best fit the data points in the scatter chart.

It will not be able to fit any other type of trendline, such as a polynomial or exponential trendline. Additionally, Excel cannot output the R Square value for a trendline in Excel for scatter charts of 3 or more variables. This is because the R Square value is a statistical measure that can only be calculated for linear regression models.

Finally, for simple linear regression models, the trendline in Excel will give the same equation as the data analysis toolpak regression tool. This means that the equation of the trendline in Excel will be the same as the equation of the regression line calculated by the data analysis.

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Answer:

10 inches

Step-by-step explanation:

The rule for a 45-45-90 triangle is if the two legs equal x then the hypotenuse is x√2.

So if the hypotenuse is 10√2 then the length of the leg d is 10

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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Answer:

158 degrees

Step-by-step explanation:

Step 1:

Let Angle CDE =y

Since Angle BCD = 2 X angle CDE

Angle BCD = 2y

Step 2

Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.

By these properties of Isosceles Trapezoids

Therefore:

\(\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ\)

123+2y+y=360

3y=360-123

3y=237

y=79 degrees

Therefore:

\(\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ\)

Area of △CMB ≈ 23.33 in² ,Area of △AMC ≈ 52.50 in²,Area of △ABC ≈ 75.83 in².

The problem step by step.

Given that AM:MB = 3:2, we can express the areas of triangles △CMB, △AMC, and △ABC in terms of their corresponding sides.

1. Area of △CNB = 35 in²

Since N is the midpoint of CM, we know that the ratio of the areas of △CNB and △CMB is the same as the ratio of their corresponding bases. Therefore, the area of △CMB can be determined as follows:

Area of △CMB = (2/3) * Area of △CNB = (2/3) * 35 = 70/3 in² ≈ 23.33 in²

2. Area of △AMC

Since AM:MB = 3:2, we can consider the area ratio as the square of the side ratio. Therefore, the area of △AMC can be determined as follows:

Area of △AMC = (3/2)² * Area of △CMB = (9/4) * (70/3) = 630/12 in² ≈ 52.50 in²

3. Area of △ABC

The area of △ABC can be obtained by summing the areas of △CMB and △AMC:

Area of △ABC = Area of △CMB + Area of △AMC = 70/3 + 630/12 = 280/12 + 630/12 = 910/12 in² ≈ 75.83 in²

To summarize:

Area of △CMB ≈ 23.33 in²

Area of △AMC ≈ 52.50 in²

Area of △ABC ≈ 75.83 in²

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To determine the percentage of Sara's students who answered at least half of the quiz questions incorrectly, we need more information than the relative cumulative frequency of students who earned a score of 21 or higher.

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Answer:

£12 per hour

Step-by-step explanation:

7 × 5 = 35 hours

35 h : 420

1 h : x

x = 420×1 / 35

= £12 per hour

Answer:

\(12 + \frac{x}{2} = - 6 - \frac{x}{2} \\ mutiply \: both \: sides \: by \: 2 \\ 24 + x = - 12 - x \\ 2x = - 36 \\ x = ?\)

Answer:

Step-by-step explanation:

The expression 8x+2 factored using the GCF is 2(4x + 1)

Equations are expressions separated by an equal sign

Given the expression 8x + 2

First we need to find the factors of each terms

8x = 2 * 4 * x

2 = 2 * 1

From bot factors, we can see that 2 is common. Factoring out 2 from the expression will give;

8x + 2 = 2(4x + 1)

Hence the expression 8x+2 factored using the GCF is 2(4x + 1)

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Answer:

9. 5×5×5= 125

10.2×2×2×2=16

11. 8×8= 64

12. 4×4×4×4=256

13. 6×6×6= 216

14. 1×1×1×1×1×1= 1