Janice has a monthly net income of 3850. Use the graph to find how much left for the rest of her budget after she pays her rent and food

Answer:

84%

Step-by-step explanation:

Given that :

Number that prefers digital copy = 4

Number who prefers hard copy = 21

Total number of samples =

(digital + hard copy) = 25

Percentage who prefers hard copy :

(Number who prefer hard copy / total number of samples) * 100%

(21 / 25) * 100%

0.84 * 100%

= 84 %

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

WildCraft it’s a cool animal sim!!!

Step-by-step explanation:

Answer:

Doom

Step-by-step explanation:

Pretty good run and guy game, really good graphics depending on which game you play, I recommend playing Doom 2016 first to understand the story, Doom eternal is fun though....

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Step 1: Write out expression

(3 - 2i)(3 + 2i)

Step 2: FOIL

F - 9

O - 6i

I - -6i

L - -4i²

Step 3: Combine

9 + 6i - 6i - 4i²

Step 4: Combine like terms

9 - 4i²

Step 5: Simplify

i² = -1

9 - 4(-1)

9 + 4

13

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

The rule for the transformation formed by the translation 8 units right and 5 units down followed by a 180 degree rotation is (x, y) changes to (-x - 8, 5 - y).

Consider a point (x, y).

When this point is translated such that it is translated 8 units right and 5 units down, then the point becomes,

(x, y) changes to (x + 8, y - 5).

This point is rotated 180 degrees.

When a point (x, y) is rotated 180 degrees, then the point becomes (-x, -y).

So, (x + 8, y - 5) changes to (-x - 8, -y + 5) = (-x - 8, 5 - y).

Hence the rule for the given transformation is (-x - 8, 5 - y).

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Answer:

300

Step-by-step explanation:

Answer:

V≈9424.78in³

Step-by-step explanation:

Solution

V=πr2h=π·102·30≈9424.77796in³

Answer:

Step-by-step explanation:

(2x-1)(2x-1)  Work outside then inside

4x^2 and +1 are the outside terms

-2x and -2x are the inside terms

so the answer will be

4x^2 - 4x +1

Answer:

n = 1/5

Step-by-step explanation:

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

5(n− 1 /10 )= 1/ 2

Step 1: Simplify both sides of the equation.

5(n− 1 /10 )= 1 /2

(5)(n)+(5)( −1 /10 )= 1/2

(Distribute)

5n +  −1 /2 = 1 /2

Step 2: Add 1/2 to both sides.

5n +  −1 /2  +  1 /2  =  1 /2  +  1 /2

5n=1  

Step 3: Divide both sides by 5.

5n /5  =  1 /5

n=  1 /5

Sam spend $65.52 on the Fuel.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Price of gas per galloon = $3.9

Capacity of gas tank  = 16.8 gallon

So, Sam has to spend

= 16.8 x 3.9

= $65.52

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Answer:

£66

Step-by-step explanation:

1/5 times £495

2/3 times £495

Rent =£99

Food =£330

99+330=429

495-429=£66

I hope that help you and you learned how to do it for next time.

Answer:

£66 Left

Step-by-step explanation:

Total Money = £495

Rent:

=> \(\frac{1}{5} * 495\)

=> £99

Food:

=>\(\frac{2}{3} * 495\)

=> 2 * 165

=> £330

Left:

=> £495-£99-£330 = £66

Answer:

if Area = 169/225

then

S = √(169/225)

S = √169/√225

S = 13/15

Answer: 315.95

Step-by-step explanation: 3.55 x 89 = 315.95

The length of the third side ​of a triangle cannot be 15 cm

The correct answer is an option (b)

We know that the triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

For example if a, b, c represents the side of a triangle then by above theorem a + b ≥ c

Here, the two sides of a triangle measure 4 cm and 8 cm.

Let a = 4 cm and b = 8 cm and c represents the third side of a triangle.

Using triangle inequality theorem,

a + b ≥ c

4 + 8 ≥ c

12 ≥ c

This means that the third side of the triangle must be less than or equal to 12 cm.

Thus, the correct answer is an option (b)

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The complete question is:

A triangle has two sides measuring 4 cm and 8 cm. Which lengths cannot be the length of the third side ​

a) 7 cm

b) 15 cm

c) 10 cm

d) 5 cm

The distinction in cost between the two sellers is $1.44, with Store-Ur-Stuff being savvier.

Expect you to take care of the two bills preceding the first of the month, the distinction in cost between leasing from Lease A-Space and Store-Ur-Stuff is $10. Lease A-Space would cost $88 (400 cubic feet x 22 pennies/cubic foot + 5.5% deals charge) while Store-Ur-Stuff would cost $78 (400 cubic feet x quarter/cubic foot + 4% markdown + 5.5% deals charge).

The distinction in cost between Lease A-Space and Store-Ur-Stuff can be determined as follows:

Lease A-Space: 400 cubic feet x $0.22/cubic foot = $88 in addition to burden = $92.64

Store-Ur-Stuff: 400 cubic feet x $0.25/cubic foot = $100 in addition to 4% markdown = $96 less expense = $91.20

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the evidence supports the claim that the average annual consumption of high fructose corn syrup by a person in the U.S. is higher

To test the claim that the average annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds using the sample of 35 people, we will use the hypothesis test.

The critical value for z with α = 0.10 and degrees of freedom (df) = 34 is 1.28. As our calculated z-value (5.14) is greater than the critical value (1.28), we reject the null hypothesis. It means we can conclude that there is sufficient evidence to suggest that the average annual consumption of high fructose corn syrup by a person in the U.S. is greater than 48.8 pounds. Thus, the evidence supports the claim that the average annual consumption of high fructose corn syrup by a person in the U.S. is higher.

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Answer:

x = \(\frac{17}{5}\)

Step-by-step explanation:

(8x - 12) = (3x + 5) ← remove parenthesis

8x - 12 = 3x + 5 ( subtract 3x from both sides )

5x - 12 = 5 ( add 12 to both sides )

5x = 17 ( divide both sides by 5 )

x = \(\frac{17}{5}\)

or x = 3.4 ( in decimal form )

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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There are several ways to calculate optimal solution; one of them, is by using graphs.

The optimal value of x is 2.125

The optimal value of y is: 0

The maximum value of the objective function is: 19.125

Parameter , generally any characteristic way that can help define or classify a particular system (event, element, object, situation, etc. ). Simply put, a parameter is an element of a system that is useful or critical in identifying the system or determining its performance, state, condition, etc.

The given parameters are:

  Max C = 9x +7y

⇒ 8x +10y ≤ 17

⇒ 11x + 12y ≤ 25

⇒x, y ≥ 0

From the graph, the feasible regions are:

(x, y ) = (0, 1.7) and (2.125,0)

Test these values in the objective function

   Max C = 9x +7y

⇒ C = 9×0 + 7× 1.7 = 11.9

⇒ C = 9 × 2.125 + 7× 0 = 19.125

So, the value of C is maximum at: (x, y) = (2.125,0)

So, we have:

The optimal value of x is 2.125

The optimal value of y is: 0

The maximum value of the objective function is: 19.125

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Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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From the diagram we can see:

Therefore, we can conclude that in every step the result is the square of the number of the step. So:

The given graph is a graph of the absolute value function:

A graph of the function y=f(x) when translated horizontally by a units, vertically by b units, and horizontally stretched by a factor of k, where k>=1 is :

The required graph in the choices is that of the function:

This equation shows that the new function translates the previous one vertically down by 3 units (b=-3).

Horizontally to the left by 5 units (a=-5), and a horizontal stretch by a factor of 3 (k=3).

Hence, the new graph will be the one that gives the old graph translated vertically downwards by 3 units, horizontally to the left by 5 units, and a horizontal stretch away from the y-axis by a factor of 3.

The graph that best fits is shown below:

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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The derivative of y with respect to x is y' = (4sinx)' = 4cosx. The tangent line equation is y'(π/6) = 4cos(π/6) = 2√3. Expanding, the equation becomes y = 2√3x - (π√3/3) + 2. The slope of the tangent line is m = 2√3, and the y-intercept is b = -(π√3/3) + 2.

The curve given is y = 4sin x. Let's find the derivative of y with respect to x using the chain rule. y' = (4sinx)' = 4cosx

.The slope of the tangent to the curve at the point (π/6, 2) is therefore y'(π/6) = 4cos(π/6) = 2√3.The equation of a line in slope-intercept form is y = mx + b where m is the slope of the line and b is the y-intercept.

Using the point-slope form, the equation of the tangent line is:y - 2 = 2√3(x - π/6)

Expanding it, we obtain the equation in slope-intercept form: y = 2√3x - (π√3/3) + 2.

The slope of the tangent line is m = 2√3,

and the y-intercept is b = -(π√3/3) + 2.

The equation of the tangent line in the form y = mx + b is therefore y = 2√3x - (π√3/3) + 2.

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Answer:

x = - 7

Step-by-step explanation:

8x - 2 = -9 + 7x   (add 2 to both sides)

8x - 2 + 2 = -9 + 7x + 2

8x = 7x - 7           (subtract 7x from  both sides)

8x - 7x = 7x - 7 - 7x

x = - 7

Answer:x=-7

Step-by-step explanation:

Regroup terms.

8x-2=7x-98x−2=7x−9

2 Subtract 7x7x from both sides.

8x-2-7x=-98x−2−7x=−9

3 Simplify  8x-2-7x8x−2−7x  to  x-2x−2.

x-2=-9x−2=−9

4 Add 22 to both sides.

x=-9+2x=−9+2

5 Simplify  -9+2−9+2  to  -7−7.

x=-7x=−7

Answer:

The correct answer of this question is 2

Answer: 2 people

Step-by-step explanation:

Since 25 both do english and B.M, subtract 25 from any one of them

53 - 25 = 28

Now, add 28 it to the one that we didn't subtract, 50

28 + 50 = 78

Now, subtract the total, 80 from 78

80 - 78 = 2

∴ 2 people haven't done any tuition