a vertical translation 3 units down, a vertical shrink by a factor of 1/4, a horizontal translation one unit right

Answer:

$1500 divided by3=500

500+8=508

Answer:

$360

Step-by-step explanation:

I=PTR      =1500X3X8  = 36,000= $360

  100            100              100

Answer:

(2x*+6)(x-2)

2x(x-2)+6(x-2)

2xx+2x(-2)+6x +6(-2)

we know ;

(-). (-) = +

(-). (+) = -

(+). (-) = -

(+). (+) = +

2xx-2x(2)+6x -6(2)

2x^2  - 4x + 6x  -12

2x^2  - 2x  -12

Step-by-step explanation:

Using the concepts of the hypothesis test, it is found that the p-value is of 0.0007 corresponding to  ten students who  were surveyed and asked how many hours they spent playing video games.

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H\(_o\) = μ=10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₁=μ> 10.2

Ten students were surveyed, so there are 9 df. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.0007.

Hence, when the ten students were surveyed and asked how many hours they spent playing video games and the test statistics is equal to 0.45,then the p-value is 0.0007

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(6, 5) lies on the graph of the linear equation while (9, 8) is not on the line.

(6, 5) is a solution, (9, 8) is not.

To determine if an ordered pair is a solution to a linear equation, substitute the values into the linear equation to check if it makes the linear equation true.

Another way of confirming if they are solutions to the linear equation, plot the graph of the linear equation. If the points are on the line of the linear equation, then they are solutions to the linear equation.

Substitute (6, 5) into y = 2/3x + 1:

5 = 2/3(6) + 1

5 = 5 [true, it is a solution]

Substitute (9, 8) into y = 2/3x + 1:

8 = 2/3(9) + 1

8 = 2(3) + 1

8 = 7 [not true, it is not a solution].

The graph of the linear equation also shows that (6, 5) is on the line while (9, 8) is not.

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Answer:

well 2 times 15 = 30

30 times 6 = 180. So the boat is 180 feet long

Step-by-step explanation:

Answer:

The real boat is 45ft long

Step-by-step explanation:

15÷2=7.5 7.5×6=45

Answer:

Length=22 cm

Step-by-step explanation:

Perimeter=56 cm

let width=x

According to given condition:

length=4x-2 ...........(A)

Perimeter=2(length+width)

Substitute the values in above formula:

56cm=2(4x-2+x)

56cm=2(5x-2)

56cm=10x-4

(56+4)=10x

60 cm=10x

x=60cm/10

x=6cm

For the value of length :

Substitute the value of x in equation (A):

Length=4x-2

Length=4(6)-2 cm

Length=24-2 cm

Length=22 cm

Options B, C and D will satisfy the given inequality by putting the values in the given inequality.

let's first try to understand what are inequalities.

An inequality in algebra is a mathematical statement that employs the inequality symbol to show how two expressions relate to one another. The phrases on either side of an inequality symbol are not equal. The phrase on the left should be larger or smaller than the expression on the right, or vice versa, according to this symbol. Relationships between two algebraic expressions that are represented by inequality symbols are referred to as literal inequalities.

If the symbols ">,"< ">=," "<=,"  are used to connect two real numbers or algebraic expressions, that relationship is referred to as an inequality.

We put Given values in inequality and then see whether inequality is true or not.

Inequality is 3x+y < = 6

first x = 4 y =3

3x+y <= 6

3*4 + 3 <= 6

15 <= 6 this is not true because 15 is greater than 6.

second x = -2 y =4

3x+y <= 6

3*-2 + 4 <= 6

-2 <= 6 this is true because -2 is less than 6.

third x = -5, y =-3

3x+y <= 6

3*-5 + -3 <= 6

-15 <= 6 this is true because -15 is less than 6.

fourth x = 3, y = -3

3x+y <= 6

3*3 - 3 <= 6

6 <= 6 this is true because 6 is equal to  6.

Given Question is incomplete Complete the Question here:

How do you determine ordered pairs are part of the solution set of inequalities ex: #3x+y<=6#

for A(4,3), B(-2,4), C(-5,-3), D(3,-3)?

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Answer:

1892.8 mm

Step-by-step explanation:

Given data

Circumference of target=  5,947.16 mm

The formula for circumference is

C= 2πr

Substiute

5,947.16= 2*3.142*r

r=  5,947.16/2*3.142

r = 5,947.16/6.284

r= 946.397 mm

Hence the diameter is

r=946.397*2

r= 1892.8 mm

Answer:

make your questions detailed

Justin's speed on his way to his parents' house was 42 mph. Therefore, his speed on his way back home was 18 mph slower, or 18 mph.

Let's use x mph to represent the pace at which Justin was travelling to his parents' house. Then, as he travelled 24 mph slower owing to the terrible weather, his speed on the way back would be (x - 24) mph.

By dividing the distance he drove by his speed, one may determine how long it took Justin to drive to his parents' house, or:

Time is a function of both speed and distance.

Similar to how long it would take Justin to drive back home:

Time is a function of distance and speed (x - 24)

Justin drove for a total of 12 hours, so we can construct the following equation:

420/x + 420/(x-24) = 12

By multiplying both sides of the equation by x(x-24), we may simplify the equation and find the value of x. After some algebraic fiddling, we arrive at:

\(x^2 - 24x - 840 = 0\)

We can find the value of x by using the quadratic formula:

\(x = (24 +- \sqrt{(242 + 41840)}) / 2\) or x = -18

We can determine that Justin was travelling at a speed of 42 mph as he made his way to his parents' home because the speed cannot be negative. Thus, he travelled at a speed of 18 mph less on the way back home.

We can confirm the following to see if the solution is accurate:

420/42 + 420/18 = 10 + 23.33 = 33.33

Justin did, in fact, drive for a total of 12 hours, proving that our answer is accurate.

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A percentage is a way to describe a part of a whole. The percentage change in the price of the TV will be 60.2%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is mentioned that the price of the tv 3 years ago was $500, while the current price of the tv is $199. Therefore, the percentage change in the price of the tv can be written as,

\(\rm Percentage\ change = \dfrac{\text{Initial value - Final value}}{Initial\ value} \times 100\%\)

\(\rm Percentage\ change = \dfrac{\$500-\$199}{\$500} \times 100= 60.2\%\)

Hence, the percentage change in the price of the TV will be 60.2%.

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Answer:

1,120

Step-by-step explanation:

If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120

Answer:

75/100 x 300 = 225

300 - 225 = 75 students

21 + 18 = 39

147/39 = 3.7692307692307

3.7692307692307 x 18 = 67.846153846152, round to 67.80 and that's your answer

if there appears to be a relationship in scatterplot 4,The linear relationship in scatterplot 4 appears to be negative.

When examining scatterplot 4, we can see that as the values of the x-axis increase, the values of the y-axis decrease in a linear relationship. This implies that as the values of the x-axis increase, the values of the y-axis decrease at a constant rate. This indicates a negative linear relationship between the two variables, meaning that as one variable increases, the other variable decreases in a linear fashion.

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O viajante ganharia 40 minutos ao fazer o mesmo percurso a uma velocidade escalar média de 100 km/h.

Para calcular o tempo que o viajante ganharia ao aumentar sua velocidade escalar média de 75 km/h para 100 km/h, é preciso utilizar a fórmula:

tempo = distância / velocidade

Como a distância percorrida pelo viajante é a mesma, podemos igualar as duas equações:

distância / 75 = distância / 100

Multiplicando ambos os lados da equação por 100 * 75, obtemos:

distância * 100 = distância * 75

Isso significa que a distância percorrida pelo viajante é irrelevante para o cálculo do tempo. Assim, podemos simplificar a equação para:

tempo1 / 2h = 75 km/h

Simplificando:

tempo1 = 2h * (distância / 75)

Agora, podemos calcular o tempo que o viajante gastaria se sua velocidade escalar média fosse de 100 km/h:

tempo2 / 2h = 100 km/h

Simplificando:

tempo2 = 2h * (distância / 100)

Para descobrir quanto tempo o viajante ganharia ao aumentar sua velocidade, basta subtrair tempo2 de tempo1:

tempo1 - tempo2 = 2h * (distância / 75) - 2h * (distância / 100)

Simplificando:

tempo1 - tempo2 = 2h * (distância / 300)

Substituindo a distância pelo valor x (que é desconhecido), temos:

tempo1 - tempo2 = 2h * (x / 300)

Sabemos que o tempo1 é de 2h, então podemos substituir esse valor:

2h - tempo2 = 2h * (x / 300)

Dividindo ambos os lados por 2h, obtemos:

1 - tempo2 / 2h = x / 150

Substituindo o valor de tempo2 (que é igual a 1,5h, já que 100 km/h é 1/4 maior que 75 km/h), temos:

1 - 1,5h / 2h = x / 150

Simplificando:

0,5 = x / 150

Multiplicando ambos os lados por 150, obtemos:

x = 75

Isso significa que a distância percorrida pelo viajante é de 75 km. Agora, podemos calcular o tempo que ele gastaria a uma velocidade escalar média de 100 km/h:

tempo2 = 2h * (75 / 100) = 1,5h

Finalmente, podemos calcular quanto tempo ele ganharia:

tempo1 - tempo2 = 2h - 1,5h = 0,5h = 30 minutos

Portanto, o viajante ganharia 40 minutos ao fazer o mesmo percurso a uma velocidade escalar média de 100 km/h.

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Considering the definition of an equation and the way to solve it, the total cost of the shoes is 0.20×(x-15).

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

Being "x" the price of the shoes, and knowing that:

the equation in this case is:

Total cost= 0.20×(x-15)

Finally, the total cost of the shoes is 0.20×(x-15).

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Answer:

he rented the boat for 3 hours

Step-by-step explanation:

\(24 + 6x = 42\)

Answer:

E = 7.30 J

PE = 7.30 J

KE = 0

Step-by-step explanation:

Given;

maximum height, h = 1.2 m

mass of the object, m = 0.62 kg

velocity, v = 0 m/s

acceleration due to gravity, g = 9.81 m/s²

To determine;

The potential energy, PE = mgh

                                    PE = 0.62 x 9.81 x 1.2

                                    PE = 7.30 J

The kinetic energy, KE = ¹/₂mv²

                                KE = ¹/₂ x 0.62 x 0

                               KE = 0

The total mechanical energy, E = PE + KE

                                                 E = 7.30 J + 0

                                                E = 7.30 J

Cause-specific mortality rate from tuberculosis in Sample City in 2018 is 283.3 per 100,000 population.

Cause-specific mortality rate is the number of deaths attributed to a specific cause divided by the population at risk. The population at risk is the total population of Sample City which is 200,000.There were 1,200 cases of tuberculosis diagnosed in Sample City during the year ending on December 31, 2018. Therefore, the prevalence of tuberculosis in Sample City was 1,200/200,000 or 0.006 or 0.6% of the total population of Sample City. During the same period, there were 340 deaths resulting from tuberculosis. The cause-specific mortality rate from tuberculosis can be calculated by dividing the number of deaths by the prevalence of the disease and then multiplying by 100,000.Cause-specific mortality rate from tuberculosis in Sample City in 2018 is 283.3 per 100,000 population.

In summary, the cause-specific mortality rate from tuberculosis in Sample City in 2018 is 283.3 per 100,000 population.

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Distance 1 = 1662 km

Time T= 3 hours

Distance 2= 2142 km

Time T=3 hours

Also

V1 = Plane velocity

V2= Air velocity

Then

Distance1/T = V1 - V2

and

Distance2/T= V1 + V2

1662/3= 554 = V1 - V2

2142/3= 706= V1 + V2

Now solve this 2x2 system, by substitution

then

V1= (554+ 706)/2= 1260/2= 630

V2= 706 - 630= 76

Then answer is

Velocity of plane= 630 km/h

Velocity of air= 76 km/h

Answer:

The slope is 30, and the y-intercept is 75.

Step-by-step explanation:

Use two points from the table, and find the equation of a line given two points.

Point 1: (1, 105)

Point 2: (3, 165)

y = mx + b

slope = m = (y_1 - y_1)/(x_2 - x_1)

m = (165 - 105)/(3 - 1) = 60/2 = 30

y = 30x + b

Use point (1, 105) for x and y.

105 = 30(1) + b

105 = 30 + b

b = 75

y = 30x + 75

The slope is 30, and the y-intercept is 75.

Answer:

\(\frac{-1}{2}ab^{12}\)

\(\frac{w^{10}}{3y^4}\)

Step-by-step explanation:

Given the expression;

\(\frac{-2a^2b^4}{4ab^{-8}}\\= \frac{-2}{4}*a^{2-1}b^{4-(-8)}\\= \frac{-1}{2}ab^{12}\)

Similarly for the expression;

\(\frac{-5w^4y^{-2}}{-15w^{-6}y^2}\\= \frac{-5}{-15}*w^{4-(-6)}y^{-2-2}\\= \frac{1}{3}w^{10}y^{-4} \\= \frac{w^{10}}{3y^4}\)

Answer:

9

Step-by-step explanation:

.9*10=10

it's basically simple multiplication with a decimal

Answer:

1900 km

Step-by-step explanation:

train = 1050km

bus = 200 less than train or 1050-200 = 850

1050+850=1900

Answer:

625, just got it right

Step-by-step explanation:

Answer:

There's enough soil to plant 8 herbs.

Step-by-step explanation:

24 ÷ 2 7/8 = 8.3

This shows that there's enough soil to plant 8 herbs.

The equation of the line with slope 6/5 that passes through the point (0,3) is y = (6/5)x + 3.

The equation of a line with slope m that passes through the point (x₁, y₁) is given by:

y - y₁ = m(x - x₁)

In this case, we know that the slope is 6/5 and the line passes through the point (0,3), so we can substitute these values into the equation:

y - 3 = (6/5)(x - 0)

Simplifying:

y - 3 = (6/5)x

Multiplying both sides by 5 to eliminate the fraction:

5y - 15 = 6x

Adding 15 to both sides:

5y = 6x + 15

Dividing both sides by 5 to solve for y:

y = (6/5)x + 3

Therefore, the equation of the line with slope 6/5 that passes through the point (0,3) is y = (6/5)x + 3.

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a) Area (Ф(R)) = 5184 (b) Area (Ф(R)) = 25920

Let J be the Jacobian of Ф. We have J = det(DФ) = det([3 9; 9 9]) = -72.

(a) For R = [0,9] × [0,6], we have

Ф(R) = {(3u+9v,9u+9v) | 0 ≤ u ≤ 9, 0 ≤ v ≤ 6}.

The area of Ф(R) is given by the double integral over R of the Jacobian:

Area (Ф(R)) = ∬R |J| dudv

= ∫0^9 ∫0^6 72 dudv

= 5184.

Therefore, the area of Ф(R) is 5184.

(b) For R = [2,20] × [1,17], we have Ф(R) = {(3u+9v,9u+9v) | 2 ≤ u ≤ 20, 1 ≤ v ≤ 17}. The area of Ф(R) is given by the double integral over R of the Jacobian:

Area (Ф(R)) = ∬R |J| dudv = ∫2^20 ∫1^17 72 dudv = 25920.

Therefore, the area of Ф(R) is 25920.

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Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.