NEED HELP PLEASE 20 POINTS
Brian borrowed money from a credit union for 3 years and was charged simple interest at an annual rate of 9% . The total interest that he paid was $135 . How much money did he borrow?

Step-by-step explanation:

(1,1.5) is the solution but (12,4) is not the solution of given equation.

1.5=1/4×1+5/4(which is true)

4=1/4×12+5/4(which is false)

The point )1,1.5) is satisfying the equation y=(1/4)x + (5/4) and the point (12,4) is not satisfying.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Given points are (1, 1.5) and (12, 4). To check whether the points are the solution of the equation or not substitute the coordinates in the equation and check if LHS is equal to RHS then it is a solution otherwise not.

Check the point (1,1.5),

y=(1/4)x + (5/4)

4y = x + 5

(1.5)4 = 1 + 5

6 = 6

Check the point (12k,4),

y=(1/4)x + (5/4)

4y = x + 5

(4 x 4 ) = 12 + 5

16 ≠ 17

Therefore, the point )1,1.5) is satisfying the equation y=(1/4)x + (5/4) and the point (12,4) is not satisfying.

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The answer is √32 units.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

18

Step-by-step explanation:

bro u have did it urself...but thnx for the points

The range of the function given the domain x > -2 is; Range; y < -8.

The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.

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Cost of one label is 62.8 cents when the cost per box is  £33. 40  .

Given,

Cost per box = £33.40

Total sheets in a box = 150

Labels on each sheet = 14

Now,

Label on 1 sheet = 14

Label on 150 sheets = 150*14

Label on 150 sheets = 2100

Here,

Cost of one box = £ 33.40

Total labels in one box = 2100

Hence ,

Cost of one label = £33.40/2100

Cost of one label = £0.015

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the work done by pulling the wagon for a distance of 10 feet is approximately 356.4 foot-pounds, rounded to the nearest foot-pound.

the work done by pulling the wagon is determined using the given force, distance, and angle.

the formula for calculating work is explained.

The force exerted on the handle is given as 40 pounds.

The distance traveled by the wagon is given as 10 feet.

The angle between the force and the horizontal direction is given as 27°. To calculate the work, we multiply the force, distance, and the cosine of the angle.

Using the formula, the work done is calculated as Work = 40 pounds × 10 feet × cos(27°).

To get the answer in foot-pounds, we evaluate the cosine of 27° (which is approximately 0.891) and perform the multiplication.

The final calculation is Work = 40 × 10 × 0.891, which gives us the work done in foot-pounds.

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P(A) = (4/36) * (3/6) = 1/18. Rounded to four decimal places, P(A) is 0.0556.  P(B) is 0.1111.  A and B are mutually exclusive because they cannot occur at the same time. If event A occurs (rolling a 4 or 5 first followed by an even number), then the sum of the two dice will be either 6 or 8. A and B are mutually exclusive because they cannot occur at the same time.  the lowest possible sum for event A is 6. Therefore, the two events are not independent.

a. To calculate P(A), we need to find the probability of rolling 4 or 5 first (which can occur in 4 out of 36 ways) and then rolling an even number (which can occur in 3 out of 6 ways). The probability of both events occurring is the product of their probabilities: P(A) = (4/36) * (3/6) = 1/18. Rounded to four decimal places, P(A) is 0.0556.

b. There are only 4 ways to get a sum of 5 or less: (1,1), (1,2), (2,1), and (1,3). There are a total of 36 possible outcomes when rolling two dice, so P(B) = 4/36 = 1/9. Rounded to four decimal places, P(B) is 0.1111.

c. A and B are mutually exclusive because they cannot occur at the same time. If event A occurs (rolling a 4 or 5 first followed by an even number), then the sum of the two dice will be either 6 or 8. But if event B occurs (the sum of the two dice is at most 5), then the sum of the two dice will be either 2, 3, 4, or 5. These two events cannot occur together because their outcomes are mutually exclusive.

d. A and B are not independent events. The occurrence of one event affects the probability of the other event. For example, if we know that event A has occurred (rolling a 4 or 5 first followed by an even number), then the probability of event B (the sum of the two dice is at most 5) is zero, since the sum of the two dice will be either 6 or 8. Similarly, if we know that event B has occurred (the sum of the two dice is at most 5), then the probability of event A (rolling a 4 or 5 first followed by an even number) is zero, since the lowest possible sum for event A is 6. Therefore, the two events are not independent.

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Answer:

30.24

Step-by-step explanation:

28% of 42 is 11.76

42 minus 11.76 is 30.24.

Answer:

Part: 42 days

Whole: 150 days

Percent: 28%

Step-by-step explanation:

Answer:

(-8, 6)(-8, 6)

Step-by-step explanation:

The formula for 180 degree rotation is (-x, -y)

El medio ambiente es un tema crucial para la supervivencia de todas las especies del planeta, incluyendo los seres humanos. La actividad humana ha tenido un impacto significativo en el medio ambiente, lo que ha llevado a la degradación de los ecosistemas, la pérdida de biodiversidad y el cambio climático.

Es importante que tomemos medidas para proteger el medio ambiente. Podemos hacer esto reduciendo nuestra huella de carbono, utilizando fuentes de energía renovable, reduciendo nuestro consumo de recursos naturales y siendo más conscientes de nuestras acciones en relación con el medio ambiente.

Además, la educación es clave para la protección del medio ambiente. Si todos estamos educados sobre los problemas ambientales y las soluciones, podemos trabajar juntos para encontrar formas de proteger y preservar nuestro planeta para las generaciones futuras.

En resumen, el medio ambiente es esencial para nuestra supervivencia y debemos tomar medidas para protegerlo. La educación y la acción son necesarias para abordar los desafíos ambientales que enfrentamos como sociedad.

Answer:

-5/10 or -1/2

Step-by-step explanation:

to find slope from two points, subtract the first y from the second (-2 - 3 = -5) and then subtract the first x from the second (5 - -5 = 10) and the answer is -5/10 which is equivalent to -1/2

the actual formula is \(\frac{y1-y2}{x1-x2}\)

Answer:

2. All real numbers

Step-by-step explanation:

Hope this helps!

Please mark as brainliest if correct!

Area = length x height

area = 10 1-4 x 7 = 71 3/4 sq.ft.

Answer: 71 3/4

Answer:

Okay so!

Step-by-step explanation:

for a cut that's .87 and for a color that is .24 so you multiply them together to get the probability for the color which is

.35 or C on edge

The probability that a randomly selected customer gets their hair cut and colored is .

Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.

Given, the probability of he customer get a hair cut is = P(A) = 87% = 0.87.

The probability of he customer get their hair colored is = P(B) = 40% = 0.4.

Therefore, the probability of a randomly selected customer get hair cut and hair color is = P(A) × P(B) = 0.87 × 0.4 = 0.35

Therefore, 35% of the total customer get hair cut and color.

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Answer:

1,800/7,200 as a percentage is 1/4 which is 25%.

Answer: 25%.

Step-by-step explanation:

because 1,800/7,200 as a simplyfly fraction

will be 1/4 and if you make it in persant it will be 25%

Hope this helps :)

By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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Find all possible values of x that make the equation true. There is an infinite number of solutions since x can take on any numerical value from 0 to 9.

To solve this equation, start by adding the two terms with the same variable. 2x + 2x = 4x. Next, add 5 and 3x to both sides of the equation. 4x + 5 + 3x = 4x + 5 + 3x. The equation is now 4x + 3x + 5 = 4x + 3x + 5. Simplify the equation by combining the two terms with the same variable. 7x + 5 = 7x + 5. The equation is now balanced and there are no terms with a variable. This means that there is an infinite number of solutions for x since any number from 0 to 9 can be used to make the equation true.

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Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

Answer:

1. -9x+10>-8

subtract 10 from both sides

-9x > -18

divide by -2 (dividing by a negative number means you must flip the inequality sign too)

x<2

2. 42 > 6(m+10)

expand brackets on right hand side

42 > 6m + 60

subtract 60 from both sidez

-18 > 6m

divide by 6 to get 'm' on its own

-3 > m

3. 10(n-11) > -60

expand brackets on left hand side

10n-110 > -60

add 110 to both sides

10n > 50

divide by 5

n > 5

4. -97<-11x-9

add 9 to both sides

-88<-11x

divide by -11 and flip inequality sign

8>x or x<8

5. 25x-9<-109

add 9 to both sides

25x<100

divide by 25

x<4

Step-by-step explanation:

1, -9x+10>-8

solution

-9x>-8-(-10)

-9x>-8+10

-9x>2

−9x÷-9>2÷-9

x<-2\9

To investigate whether there is convincing evidence, at a 5 percent level of significance,

that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a two-sample t-test.

The independent variable is hand length, and the dependent variable is time to complete the 100-meter freestyle.

The t-test compares the mean time to complete the 100-meter freestyle for swimmers with longer hand lengths to the mean time for swimmers with shorter hand lengths.

The t-test is appropriate because the sample size is small, and the researcher is comparing two groups.

By conducting a two-sample t-test, the researcher can determine whether the observed difference in mean times is statistically significant or due to chance.

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Answer: 3

Step-by-step explanation: 12 times 1/4 = 3

Answer:

Explanation:

12×1/4 = 12/4 = 3

Using the Russian Peasant Multiplication, 49 x 65 is 3,185.

The Russian Peasant Multiplication method converts the problem into binary (base 2) multiplication from base 10 by halving the numbers on the first column repeatedly till the second number doesn't become 1 and doubling the numbers on the second column.

Then, add up the numbers in the second column that correspond to odd numbers in the first column to get the result.

              49                   65

   ÷ 2      24                  130   x 2

               12                 260

                6                 520

                3               1,040

                1               2,080

Add:

65, because we ignored 1 when we divided 49 by 2

1,040, because we ignored 1 when we divided 3 by 2

2,080

= 3,185

Check:

49 x 65 = 3,185

Based on the Russian Peasant Multiplication method, the product of 49 x 65 is 3,185.

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The probability that, with random samples of seven measurements the sample mean for species a and b by at least 1 unit is 0.9999

1) Using by the central limiting theorem:

We know the formula for the z-score for the normal distribution is given by:

z = (x - μ) /( ρ√n)  

Follows normal distribution with mean 0 and the variance of 1.

Where

x is the  sample mean,

μ is the  population mean,

ρ denotes population standard deviation

n = sample size

The required probability is

P(z < 0.5/[0.4/√ 10])

= P(z < 3.95)

P = 0.9999

Therefore the probability that, with random samples of seven measurements the sample mean for species a and b by at least 1 unit is 0.9999 .

Normal distributions are crucial to statistics because they are commonly used in the natural and social sciences to describe real-valued random variables with uncertain distributions. They are important in part because of the central limit theorem.

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Answer:

3/4 = 0.75 1/3 = 0.3333

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

Solution:

Since the slope of the line is un-defined, the line is vertical. Please look at my graph to understand better.

The length of the long piece of wood is 17.15m

Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction. In simpler terms, it is the measurement of the length, width, and height of anything. Dimensions are generally expressed as: Length. Breadth.

The dimension of a shape is expressed in the form Length by breadth.

The dimension of the first stick is 17m by 28mm, therefore the length is 17m

The dimension of the second stick is 15cm by 37mm, therefore the length is 15cm = 0.15m

The length of the long stick = 17+0.15 = 17.15m

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Answer:

x = 85

Step-by-step explanation:

x - 20 = 62

add the 20 on both sides                          x - 20 = 62

                                                                        +20    +20

add 62+20 to get 85                                  x =  85

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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