12. A small triangular flower bed has a square stepping stone at each of its sides. Is the flower bed in the shape of a right triangle? Explain your reasoning. 9800 cm 4800 cm 4800 cm

9514 1404 393

Answer:

  5880 J

Step-by-step explanation:

PE = mgh = (60 kg)(9.8 m/s²)(10 m) = 5880 J

The number of people that were surveyed are 350 people

The given parameters are:

p = 78% --- the proportion of people that like listening to music in the car

Car =273 --- the number of people for the given proportion

The total number (n) of people surveyed is then calculated as:

Car = p * n

This gives

78% * n = 273

Express 78% as decimal

0.78 * n = 273

Divide both sides by 0.78

n = 350

Hence, 350 people were surveyed

Read more about proportions at:

https://brainly.com/question/1781657

Another way that people can look up how much they owe in tax is by looking it at IRS.gov/account.

A tax that you pay to the federal government in the US as opposed to a state government If income is used to pay for college, it could not be subject to federal taxes. Federal taxes are collected by the federal government.

The marginal tax rate should be used to calculate federal taxes. It only applies to taxable income. Make changes to gross revenue to arrive at a determinable Taxable income before computing Taxable income. Deductions must then be made. After deductions, taxable income is available. There is no tax due if there is no taxable income.

At IRS.gov/account, you can securely log in to access your federal tax account. Once you've logged into your account, you can see your balance and the amount you owe, as well as 18 months' worth of payment history, access Get Transcript, and see the most important data from your most recent tax return.

Learn more about tax on:

https://brainly.com/question/25783927

#SPJ1

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).

In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.

In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.

According to given information:

Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):

\(f(x) = a(x- (-1))(x- (-11))\)

Simplifying, we get:

\(f(x) = a(x+1)(x+11)\)

To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:

\(-5 = (-1+(-11))/2\\-5 = -6\)

This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:

\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)

We also know that the function has a minimum at this point, so we can use this to find the value of a:

\(f(-6) = -5\\-5= -5a\\\\a = 1\)

Therefore, the quadratic function that satisfies these conditions is:

\(f(x) = (x+1) (x+11)\)

We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:

x-coordinate of vertex = \((-1 +(-11))/2 =-6\)

y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)

Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.

Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?

To know more about graph visit:

https://brainly.com/question/19040584

#SPJ1

Answer: given:

y=4

z= -2

7y+z = 7(4) + (-2)  =  28 - 2 = 26

Step-by-step explanation:

using simple linear  mathematic calculation

y and z are given

we have to find  the value of 7y+z    eq 1

we can put the  value of y = 4, z=-2 in eq 1

7y+z = 7(4) + (-2)  =  28 - 2 = 26

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

More can be learned about the volume of a rectangular prism at brainly.com/question/22070273

#SPJ1

Answer:

3.9

Step-by-step explanation:

each gallon is 1.3

Answer:

1=1

2=43

3=44

Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together

Answer:

12 credits per semester

Step-by-step explanation:

she has 92 in the end but she started off with 8 so your first step is to subtract 8 from 92 which gives you 84 once you get 84 you divide that by 12 you get 7 which means she got 12 credits in each of her 7 semeters

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Answer:

8

Step-by-step explanation:

first number = a, there are n numbers

so last number is a + n - 1

sum = [a + (a + n - 1)} * n/2 = (2a + n - 1) / 2 = 2012

n * (2a + n - 1) = 2012 * 2 = 4024

4024 is even, so n must be even, divisible by 2, 4, 8

4024 = 2 * 2012 = 4 * 1006 = 8 * 503

If n = 2, 2a + n - 1 = 2012, 2a + 2 - 1 = 2012, 2a = 2011, impossible.

If n = 4, 2a + n - 1 = 1006, 2a + 4 - 1 = 2a + 3 = 1006, 2a = 1003, impossible

If n = 8, 2a + n - 1 = 503, 2a + 8 - 1 = 2a + 7 = 503, a = 248

so n = 8, a = 248

Answer: D is correct.

Step-by-step explanation:

The economic system that has no government involvement in the market is d. No economic system is free from government involvement.

In reality, there is no government intervention because at some point the government will comes in , this could actually be minimal, only in the free market is where there is no government intervention.

It should be noted that in this free market, there is an unregulated system of economic exchange, where the act of taxes collection as well as quality controls,  has no economic interventions which can be attributed to the government. Because of this, option D is correct.

I hope this helped! Brainilist is highly appreciated! <333

Answer:

-2

Step-by-step explanation:

Answer:

$61.76

Step-by-step explanation:

So I can't answer how much do you have left or did you make enough money, but I can calculate the money you made. Since it's $9.15 per hour and you worked 6.75, you simply multiply the numbers together. The money you made was $61.76.

Answer:

5-Cy/r  = d

Step-by-step explanation:

C=r(5-d)/y

Multiply each side by y

Cy=r(5-d)/y *y

Cy=r(5-d)

Divide each side by r

Cy/r=r(5-d)/r

Cy/r=(5-d)

Subtract 5 from each side

Cy/r - 5 = 5-d-5

Cy/r - 5 = -d

Multiply by -1

-Cy/r + 5 = d

5-Cy/r  = d

\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)

\(C=\dfrac{r(5-d)}{y}\\\\cy=r(5-d)\\\\5-d=\dfrac{cy}{r}\\\\-d=\dfrac{cy}{r-5}\\\\d=-\dfrac{cy}{r}+5\\\\d=5-\dfrac{cy}{r}\)

Answer:

Step-by-step explanation:

ear

The fraction of the students in the class are women is  one-third (1/3)

If there are 16 men in the class of 24 students, we can find the number of women by subtracting the number of men from the total number of students:

Number of women = Total number of students - Number of men

Number of women = 24 - 16

Number of women = 8

Therefore, there are 8 women in the class.

To find the fraction of students in the class who are women, we divide the number of women by the total number of students:

Fraction of students who are women = Number of women / Total number of students

Fraction of students who are women = 8 / 24

Fraction of students who are women = 1/3

So, one-third (1/3) of the students in the class are women.

Learn more about fraction at https://brainly.com/question/78672

#SPJ1

Using the graph identify the intervals:

a) Function being less than or equal to 0: In which x interval is the graph under the x-axis (the functions are less than 0 when they are under x-axis)

As the ineqaulity sing is less than or equal to 0, the interval includes those x-values for which the function is 0:

Solution: Interval from x=1 to x=3

b) Function being greater than or equal to 0: In which x interval is the graph over the x-axis.

As the ineqaulity sing is greater than or equal to 0, the interval includes those x-values for which the function is 0:

Solution: Interval from - infinite to 1 and from 3 to infinite

c) Function being greater than 0: In which x interval is the graph over the x-axis.

As the ineqaulity sing is greater than to 0, the interval does not include those x-values for which the function is 0.

d) Function being less than 0: In which x interval is the graph under the x-axis.

As the ineqaulity sing is less than 0, the interval does not include those x-values for which the function is 0:

Answer: Yes

Step-by-step explanation:

1 ton = 2000 pounds and 500 is 1/4 of 2000

Answer: Yes

Step-by-step explanation:

We know that 1 ton is 2000 pounds. We can use this fact to figure out if 500 pounds is equivalent to 1/4 tons. To do so, we can use a proportion.

\(\frac{2000 pounds}{1 ton} =\frac{500pounds}{x}\)

\(2000x=500\)

\(x=\frac{500}{2000} =\frac{5}{20} =\frac{1}{4}\)

Now, we know that 500 pounds is equivalent to 1/4 tons. Therefore, 2 tons and 500 pounds is equivalent to \(2\frac{1}{4}\) tons.

Answer:

Length = 9 units

Area = 135 square units

Area = Length x Breadth

135 = 9 x Breadth

Breadth = 15units

\(By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\\)

               \(= 9^2 + 15^2 \\= 81 + 225 \\=306\)

\(Diagonal = \sqrt{306} = 17.49\)

Diagonal = 17.5 units

Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.

To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.

Let's assume the width of the rectangle is 'w'.

We know that the area of a rectangle is given by the formula: length × width = area.

So, 9w = 135

Dividing both sides of the equation by 9, we get: w = 15.

Now, we have the length (9 units) and the width (15 units) of the rectangle.

Using the Pythagorean theorem, we can find the length of the diagonal (d):

d² = 9² + 15²

d² = 81 + 225

d² = 306

Taking the square root of both sides, we get:

d ≈ √306 ≈ 17.5

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

#SPJ4

The correct answer is option C: \(\(k + 4 = 16\).\) This linear equation represents the relationship between Tina and Kai's volunteer times.

To represent the given situation, the equation that correctly represents the relationship between Tina's volunteer times (Tina = 16) and Kai's volunteer times (Kai = k) is:

\(\[Tina = Kai + 4\]\)

In this equation, Tina's volunteer times are represented by "Tina," and Kai's volunteer times are represented by "Kai." Since Tina has volunteered 4 more times than Kai, we add 4 to Kai's volunteer times to get the total number of times Tina has volunteered.

Substituting the given values, we have:

\(\[16 = k + 4\]\)

This equation represents the fact that Tina has volunteered \(16\) times, which is equal to Kai's volunteer times (k) plus the additional 4 times that Tina volunteered.

Simplifying the equation:

\(\[k + 4 = 16\]\)

This equation is equivalent to the original equation and represents the relationship between Tina and Kai's volunteer times. Hence, the correct answer is option C: \(\(k + 4 = 16\).\)

For more such questions on linear equation: https://brainly.com/question/2030026

#SPJ11

Answer:

864 cm

Step-by-step explanation:

The annual percentage yield (APY) of Rocio is 3.11 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

Given data ,

Deposit amount of Russ = $ 3200

Interest rate R = 3.1 %

And it is given that the interest rate is compounded daily , so

Interest rate R = 3.1 % / 365

                       = 0.031 / 365

                       = 0.000084

Now , The annual percentage yield (APY) is calculated as

The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵

                                 = 3200 x ( 1.000084 )³⁶⁵

                                 = 3200 x 1.031133

                                 = 3299.6272

                                 ≈ 3299.627

Therefore , the interest will be

= 3299.627 - 3200

= $ 99.627

Now , the annual percentage yield (APY) is given by

= Interest / Deposit

= 99.627 / 3200

= 0.03113

≈ 3.11 %

Hence , annual percentage yield (APY) of Rocio is 3.11 %

To learn more about annual percentage yield (APY) click :

https://brainly.com/question/28495077

#SPJ1

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

-32

Step-by-step explanation:

Simply input the x and y values.

New equation:

| 147-(-9) | /(-4) +7

Step one:

147-(-9)   = 156

Step two:

|156|/-4    =-39

Step three:

-39+7      =-32

If you evaluate the expression it comes out to -32

Hence the surface area of the given figure 168 km².

In the given prism contains

3 rectangular surface,

For rectangular surface 1:

Length = 6 km

Width = 7 km

Surface area = 6x7

                      = 42 km²

For rectangular surface 2:

Length = 8 km

Width = 7 km

Surface area = 8x7

                      = 56 km²

For rectangular surface 3:

Length = 10 km

Width = 7 km

Surface area = 10x7

                      = 70 km²

Hence total surface area of the given figure is,

⇒ 42 + 56 + 70

⇒ 168 km²

To learn more about prism visit:

https://brainly.com/question/2918181

#SPJ1

Answer:

I think it's B

Step-by-step explanation: