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Answer:

1.5 * 4.7

Step-by-step explanation:

The top adds to 4+.7 = 4.7

The side adds to 1+.5 = 1.5

When they multiply it is

1.5 * 4.7

The total change to his score as an integer is -115

The total change in Juan score is calculated as follows;

Let Juan's initial score = x

when Juan finished the next level of his video game, he lost 10 points for each of the two targets he missed.

total points deducted = 20 points.

New score = x - 20

He was also penalized 95 points for taking too long.

His final score;

(x - 20) - 95

= x - 115.

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

11.55

Step-by-step explanation:

Answer:

1) Use two points to find the slope

Points from the graph

Find the slope:

Slope is 3, y-intercept is -1

The line is:

This is non-proportional as not passing through the origin (0, 0)

2) One point is sufficient to determine the slope as the line passes through the origin

Point (5, 2)

The slope is

Line is:

This is proportional

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The probability of obtaining between 56 and 73 tails, inclusive will be approximately 0.8561.

To approximate the resulting binomial distribution, we will use the normal distribution as an approximation when certain conditions are met.

The number of trials, n, is large n = 130.

The probability of success, p, is not too close to 0 or 1

Then the coin is fair, so p = 0.5.

We have to calculate the probability of obtaining between 56 and 73 tails, inclusive.

Mean (μ) = n x p = 130 x 0.5 = 65

Standard Deviation (σ) = √(np (1 - p))

(σ) = √(130 x 0.5 x 0.5) ≈ 5.7

Using a standard normal distribution, we can determine the z-scores corresponding to 56 and 73 tails:

z1 = (56 - μ) / σ ≈ (56 - 65) / 5.7

≈ -1.58

z2 = (73 - μ) / σ ≈ (73 - 65) / 5.7

≈ 1.40

P(56 ≤ x ≤ 73) ≈ P(-1.58 ≤ z ≤ 1.40)

Now we can determine these probabilities and subtract them.

P(-1.58 ≤ z ≤ 1.40) ≈ 0.9155 - 0.0594

P(-1.58 ≤ z ≤ 1.40) ≈ 0.8561

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The solution to the inequality -32 < -4x is x < 8.

Given the inequality in the question:

-32 < -4x

To solve the inequality -32 < -4x, we need to isolate the variable x.

-32 < -4x

Divide both sides of the inequality by -4.

Note that, if we are dividing by a negative number, the direction of the inequality sign will flip.

Hence:

-32 / -4 > -4x / -4

-32 / -4 > x

8 > x

Next, rewrite the inequality in the standard form, with x on the left side.

x < 8

Therefore, x < 8 is the solution to the inequality.

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The simplified fοrm οf the inequality is  -5x < -10.

The term "inequality" is used in mathematics tο describe a relatiοnship between twο expressiοns οr values that is nοt equal tο οne anοther. Inequality results frοm a lack οf balance. When twο quantities are equal, we use the symbοl '=', and when they are nοt equal, we use the symbοl. If twο values are nοt equal, the first value can be greater than (>) οr less than (), οr greater than equal tο () οr less than equal tο ().

Here the given inequality is,

=> 7-2( x + 2) <-4 - 3(1 – x)

Nοw simplifying the inequality then,

=> 7-2( x + 2) <-4 - 3(1 – x)

=> 7-2x-4 < -4-3+3x

=> 3-2x < 3x-7

=> -2x -3x < -7-3

=> -5x < -10

Hence the simplified fοrm οf the inequality is  -5x < -10.

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The probability of a student spending time reading given that the student spends time watching TV is  \(P(Reading|Watching\:\:TV)=0.12\)

If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:

\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)

Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.

The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.

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Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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The central angle has a measure of 1 radian.

In plane geometry, an angle is a shape made up of two rays or lines with the same terminal.

Angle can be used to measure any angular rotational motion since it cannot be measured in terms of length parameters like metres or inches. Instead, it is measured as an angle in terms of degrees or radians.

We know,

Length of arc = (Angle at center/360°) x  2  x π x radius .

360° = 2π radian

According to question,

(Angle at Center/360°) x 2 x π x r = r

Angle / 360 x 2π=1

Angle at center/ 360 x 360 = 1

Angle at Center = 1 radian

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Decision points

are represented in the flowchart using a diamond symbol. Answer: D. Diamond.

A

flowchart

is a kind of diagram that is used to represent an algorithm, workflow, or process. A flowchart comprises different shapes, which represent distinct steps or activities in a procedure. Flowcharts are used in different fields, such as education,

engineering

, programming, and business, to demonstrate decision making, problem-solving, process control, and project management.

Flowcharts are used to:

Visualize

processes and workflows that need to be organized or improved

Communicate a sequence of steps that are essential to complete a project

Identify the root cause of a problem

Illustrate the steps of a procedure to new employees or staff members

A decision point in a flowchart is a point where the sequence of flowchart changes its direction based on the

outcomes

of the preceding steps. Decision points are represented in the flowchart using a diamond symbol.

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Step-by-step explanation:

i forgot sorry

Answer:

6.52 i took the test

Step-by-step explanation:

Answer:72

Step-by-step explanation:

115+115=230

230-158=72

If you add the 115 a month that she earns from babysitting, then add both the months pay together, than subtract 158(cost of the bicycle) by the total pay, you should get 72$

Answer:  D. $72

Step-by-step explanation:

If she earns $115 a month and June and July is a combination of two months then we will have to find the amount she earn toegther in June and July by multiplying 2 by $115.

2(115) = 230

She earned $230 in those months, and if the bicycle cost $158 , then we will have to subtract $158 from $230 to find her remaining amount.

$230 - $158 = $72  

Answer:

90 . this can be easily answered as all the angle of points are given in question

Step-by-step explanation:

90 degree angle

The researchers should Increase the sample size to reduce this error

When a researcher rejects a valid null hypothesis, she commits a Type I mistake, and she commits a Type II error when she fails to reject an erroneous null hypothesis. Becausethe two mistakes are mutually exclusive, reducing the likelihood of one error raises the chance of the other. However, if the researcher choose a lower threshold of significance, the null hypothesis has a lower likelihood of being rejected. A larger sample size would, in turn, aid the researcher in obtaining a meaningful result.

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The statement "La tangente de 60° es igual al triple de la tangente de 20°" is not true.

To solve the problem "La tangente de 60° es igual al triple de la tangente de 20°," follow these steps:

Step 1: Write down the equation based on the problem statement:
tan(60°) = 3 * tan(20°)

Step 2: Find the tangent values for the given angles:
tan(60°) = √3
tan(20°) = 0.36397 (approximate value)

Step 3: Plug the tangent values into the equation and check if the statement is true:
√3 = 3 * 0.36397

Step 4: Calculate the right side of the equation:
3 * 0.36397 = 1.09191 (approximate value)

Step 5: Compare the two values:
√3 ≈ 1.73205 (approximate value)

Since 1.73205 ≠ 1.09191, the statement "La tangente de 60° es igual al triple de la tangente de 20°" is not true.

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The final answers are a) 12 b)3/28 c) 2

In Maths, reciprocal is simply defined as the inverse of a value or a number. If n is a real number, then its reciprocal will be 1/n. It means that we have to convert the number to the upside-down form. For example, the reciprocal of 9 is 1 divided by 9, i.e. 1/9

Given here a) 4÷1/3 = 4×3

                                =12

                   b) 3/8÷7/2 = 2×3/8×7

                                     = 3/28

                   c) 3¹/₂ ÷7/4 = 7/2÷7/4

                                      = 2

Hence the answers are 12, 3/28 , 2

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Answer:

4 batches

Step-by-step explanation:

To obtain the number of batches of the recipe that can be made ;

We take the divison of the total amount of strawberry by the amount of strawberry required per batch :

Pounds of strawberry per recipe = 0.75 pound

Total pounds of strawberry = 3.15 pound

= 3.15 / 0.75

= 4.2

We round down :

4.2 batches = 4 batches of the recipe can be made

Answer:

Step-by-step explanation:

A. 26.25<=1.25x+10 because he can spend no more than 26.25

C. The '=' sign

D solve for X. Subtract 10 from both sides. Then divide both sides by 1.25.

Answer:

-1/3

Step-by-step explanation:

Answer:$20.79

Step-by-step explanation:

Answer:

5+3√3

Step-by-step explanation:

hope this helps:)

The required simplified value of the given expression is ln (3 / 16).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= -In 16 - In 5 + In 15
= - (ln 16 + ln 5 ) + ln 15
= -(ln (16 × 5 )) + ln 15
= -ln 80 + ln 15
= ln (15 / 80)
= ln (3 / 16)

Thus, the required simplified value of the given expression is ln (3 / 16).

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Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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The Laplace transform of the given integral equation is:

\(F(s) = L{f(t)} = ∫(0 to ∞) e^(-st)f(t) dt\\f(t) = L^-1{F(s)} = ∫(0 to ∞) e^(st)F(s) ds\)

Given the equation

\(f(t) = 4t + 16sin(t) + ∫(0 to t) e^(t-u)f(u) du\),

we can take the Laplace transform of both sides:

\(F(s) = L{f(t)} = L{4t + 16sin(t)} + L{∫(0 to t) e^(t-u)f(u) du}\)

Using the properties of the Laplace transform, we have:

\(L{4t} = 4/s^2\\L{16sin(t)} = 16/s^2 + 16s\\L{∫(0 to t) e^(t-u)f(u) du} = F(s)L{e^(t-u)} \\= F(s)e^(-u)(1/s-1)^u|(0,t) \\= F(s)(e^(-t)/s - 1)\)

By substituting these results into the equation, we get:

\(F(s) = (4/s^2 + 16/s^2 + 16s) + (F(s)(e^(-t)/s - 1))\)

Solving for F(s) we get:

\(F(s) = (4/s^2 + 16/s^2 + 16s)/(1 - e^(-t)/s)\)

To find f(t) we need to take the inverse Laplace transform of F(s)

\(f(t) = L^-1{F(s)} = L^-1{(4/s^2 + 16/s^2 + 16s)/(1 - e^(-t)/s)}\)

This is the solution of the integral equation in terms of the Laplace transform.

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Answer:

15/1 is the rate of change

Step-by-step explanation:

Rise over run is 30/2. Simplify that and it is 15/1.

Answer:

1.222.......

Step-by-step explanation:

11/9＝1.2222

so it is between 1＆2