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Answer:

3.4, 1/4, 12%, -0.01, -26.1

Step-by-step explanation:

The simplest way to do these type of problems is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.

12% is already a percentage

-0.01 = -1%

1/4 = 25%

3.4 = 340%

-26.1 = -2610%

Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):

3.4, 1/4, 12%, -0.01, -26.1

FINAL ANSWER: 3.4, 1/4, 12%, -0.01, -26.1

Equation of line p:

[tex]{\sf{2x - 3y = 4}}[/tex]

[tex]{\sf{y = \frac{2x}{3} - \frac{4}{3}}}[/tex]

Slope of line p (m):

[tex]{\sf{\frac{2}{3}}} [/tex]

Since, l is perpendicular to line p, the product of slopes of line l & p should be -1. We assume slope of line l be m2

Hence,

[tex]{\sf{m \times m2 = - 1}}[/tex]

[tex]{\sf{ \frac{2}{3} \times m2 = - 1}}[/tex]

[tex]{\sf{m2 = \frac{ - 3}{2}}}[/tex]

Since, line l passes through points (6, 0).

We apply,

[tex]{\sf{(y - y1) = m2(x - x1)}}[/tex]

[tex]{\sf{y - 0 = \frac{ - 3}{2}(x - 6)}} [/tex]

[tex]{\sf{2y - 0 = - 3x + 18}}[/tex]

[tex]{\sf{3x + 2y - 18 = 0}}[/tex]

The equation of line l:

[tex]{\sf{\red{\boxed{\sf{3x+2y-18=0}}}}}[/tex]

The surface area and the volume of the triangular prism are 26.88 square cm and 7.68 cubic cm.

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

It is given that:

The triangular prism is given in the picture:

The surface area = 4x2 + 2x2.4 + 3.2x2 + 2(1/2)3.2x2.4

The surface area = 8 + 4.8 + 6.4 + 7.68

The surface area = 26.88 square cm

The volume = (1/2)x3.2x2x2.4

The volume 7.68 cubic cm

Thus, the surface area and the volume of the triangular prism are 26.88 square cm and 7.68 cubic cm.

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Answer:

30 yards

Step-by-step explanation:

9+9+6+6=30yards

The amount Jasmin was paid altogether was $210

From the question, we are to determine how much Jasmin was paid altogether

From the given information,

The Smith family pay her $10 an hour.

and

She babysat for the Smith family for 12 hours

Thus,

The amount she was paid by the Smith family is 12 × $10 = $120

Also,

The Johnson family pay her $15 an hour

and

She babysat for the Johnson family for 6 hours

Thus,

The amount she was paid by the Johnson family is 6 × $15 = $90

Therefore,

The amount she was paid altogether = $120 + $90

The amount she was paid altogether = $210

Hence, the amount Jasmin was paid altogether was $210

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Answer:

16 each

Step-by-step explanation:

Since you didn't say how much of the yield Jacob gave to the restaurant or the neighbor, I'm going to assume he kept an even share and gave them each the same share.

Assuming that, we would have to divide his harvest by 3

48/3 = 16

this means that 16 went to his neighbor, 16 to the restaurant and 16 were saved for himself.

Hope this helps! ^^

Answer:

∠T and ∠STP

Step-by-step explanation:

You can name an angle by their middle vertex letter which, in this case, is T.

And you can name an angle using the three letters provided. P, T, and S are the three letters provided. However, the vertex letter always has to be in the middle. So, it could be ∠STP or even ∠PTS.

Let me know if you don't understand or need more explanation.

Answer:

Step-by-step explanation:

(5 + 4)/2 = 9/2

(1 - 4)/2= -3/2

Answer:

4 liters

Step-by-step explanation:

300 × 12 = 3600 ml

3600 + 400 = 4000 ml

1 liters = 1000 ml

liters to milliliters need to × 1000

milliliters to liters need to ÷ 1000

4000 ÷ 1000 = 4 liters

Answer:

2x – 12 + 12 = x + 9

2x = x + 9

x = 9

Answer:

923.08

Step-by-step explanation:

48000/52 weeks

Answer:

923.08

Step-by-step explanation:

There are 52.1429 weeks in a year, so divide.

The experimental method has one advantage over the correlational method in that it "determines cause and effect," whereas the correlational study does not.

Quantitative methods are used in both experimental and correlational research to investigate interactions between variables. However, there are significant differences with how data is gathered as well as the conclusions that can be drawn.

Experimental research is scientific research that employs two sets of variables. The first set serves as a constant against which the differences in the second set are measured. Experimentation is used in quantitative research, for example.

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Answer:

3(c+30)+4(c+30), 7c + 210, 3c+90+4c+120

Step-by-step explanation:

I this helps :D

Answer:

I think it's the first one

Step-by-step explanation:

because he went to class 3 times a week and u would need to multiply 3 by c minutes + 30 minutes ( u have to add them to find the total amount of minutes he exercised during one class and multiply that by 3 after adding them together bc he did that class 3 times which means he did the exercise 3 times so u multiply) then u add that with next week where he went 4 times and did c minutes+ 30 minutes. HOPE THIS HELPS!

Using algebraic expressions and equations to solve this problem, there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

If there are 20 apartments, we can write the equation for the sum of two different kind of apartments.

let x = number of apartments with 2 rooms

y = number of apartments with 3 rooms

x + y = 20     (equation 1)

If there are x apartments with 2 rooms and y apartment with 3 rooms and there are 45 rooms in total, we can express this as the equation:

2x + 3y = 45     (equation 2)

Rewriting equation 1 as an equation of y in terms of x,

x + y = 20     (equation 1)

y = 20 - x

Substitute this expression of y to equation 2, and solve for x.

2x + 3y = 45     (equation 2)

2x + 3(20 - x) = 45

2x + 60 - 3x = 45

-x = 45 - 60

-x = -15

x = 15

Substitute the value of x in either equation 1 or 2 and solve for y.

x + y = 20     (equation 1)

15 + y = 20

y = 20 - 15

y = 5

If x is the number of apartments with 2 rooms and y is the number of apartments with 3 rooms, then there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.

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The total interest earned at the end of first year is $250 and the percentage of interest for his total investment is 6.25%.

Given, Chau invested his money by purchasing the following:

a certificate of deposit for $1000 at the rate of 2% per year, and

corporate bonds for $3000 at the rate of 7% per year.

we know that simple interest is calculated by multiplying the amount invested P by the interest rate r times the number of years invested t.

therefore, I = P × r × t

a. The first investment has a principal of P = $1,000, r = 2% = 0.02, t = 1 yr

I₁ = 2000 × 0.04 × 1

I₁ = 40

The second investment has a principal P = $3,000, interest rate r = 7% = 0.07 and time t = 1yr

I₂ = 3000 × 0.07 × 1

I₂ = 210

Therefore, total interest  = I₁ ₊ I₂

= 40 ₊ 210

= $250

b. The overall rate of interest can be found by dividing:

Total interest/Total amount invested × 100

= 250/(1000 ₊ 3000) × 100

= 250/4000 × 100

= 25/4

= 6.25%

Hence we get the total interest earned at the end of first year as $250 and its overall rate of interest as 6.25%

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Your question was incomplete. Please find the missing content here.

Last year, Chau invested his money in two purchases. He purchased a certificate of deposit for $1000 that paid 2% interest per year and purchased $3000 in corporate bonds paying 7% interest per year.

(a) What was the total investment earned at the end of 1 year?

(b) What was the percentage interest for her total investment?

Answer:

0.012÷2=12 thousandths ÷ 2

Answer:

y = [tex]\frac{x+1}{2}[/tex]

Step-by-step explanation:

y = 2x - 1

switch the x and y variables

x = 2y - 1

solve for y

x + 1 = 2y

[tex]\frac{x+1}{2}[/tex] = y

Answer:

42°, 101°

Step-by-step explanation:

These answers come from the angle subtraction postulate.

Annually The amount after 10 years = $ 7247.295

quarterly compound after 10 years = $7393.5

Continuously interest =$7,419

Given:

P = the principal amount

r = rate of interest

t = time in years

n = number of times the amount is compounding.

Principal =  $4500

time= 10 year

Rate = 5%

To find: The amount after 10 years.

The principal amount is, P = $4500

The rate of interest is, r = 5% =5/100 = 0.05.

The time in years is, t = 10.

Using the quarterly compound interest formula:

A = P (1 + r / 4)4 t

A= 4500(1+.05/4)40

A= 4500(4.05/4)40

A= 4500(1.643)

Answer: The amount after 10 years = $7393.5

Using the Annually  compound interest formula:

A = P (1 + r / 100) t

A= 4500(1+5/100)10

A= 4500(105/100)10

Answer: The amount after 10 years = $ 7247.295

Using the Continuously  compound interest formula:

e stands for Napier’s number, which is approximately 2.7183

[tex]A=Pex^{rt} \\A=4500(e)^{.5} \\A= 4500(2.71)^{.5}[/tex]

A= $2,919

Answer: The amount after 10 years = $4500+$2,919=$7,419

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Using exponent power property, ³√x²y³ = x^r y^s, where x and y are non-negative real numbers.

r, the exponent of x, is: 2/3

s, the exponent of y, is: 1

According to the Power of a Power Property, you can multiply the exponents if one exponent is increased to a higher exponent. This characteristic may be used to resolve the equation (3 x 2) 3.

³√x²y³ = x^r y^s

Cubing on both sides,

x²y³ = x^3r y^3s

As base is same, equating the powers

⇒ 2 = 3r; r = 2/3

⇒ 3 = 3s; s = 1

The expression

³√x²y³ = x^ry^s

where x and y are non-negative real numbers.

r, the exponent of X, is:

s, the exponent of y, is:

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Answer:

(4), -5/6

Step-by-step explanation:

[tex]13-36x^2-13=-12-13\\-36x^2=-25\\\frac{-36x^2}{-36}=\frac{-25}{-36}\\x^2=\frac{25}{36}\\x=\sqrt{\frac{25}{36}},\:x=-\sqrt{\frac{25}{36}}[/tex]For x^2 = f(a), x = f(a), -f(a)

[tex]x=\sqrt{\frac{25}{36}},\:x=-\sqrt{\frac{25}{36}}\\\sqrt{\frac{25}{36}}\\\sqrt{25}\\\sqrt{5^2}=5\\=\frac{5}{\sqrt{36}}\\\sqrt{36}\\=\sqrt{6^2}=6\\=\frac{5}{6}[/tex]

Reverse the same equation from the negative side

[tex]=-\frac{\sqrt{25}}{\sqrt{36}}\\\sqrt{25}\\=\sqrt{5^2}\\=5\\=-\frac{5}{\sqrt{36}}\\\sqrt{36}\\=\sqrt{6^2}\\=6\\=-\frac{5}{6}[/tex]

Therefore,

[tex]x=\pm\frac{5}{6}[/tex]

Answer: 7, and 31

Step-by-step explanation:

7 + 12 = 19 or 19 - 12 = 7

19 + 12 = 31

The other number will be - 7.

Yes, There is only one answer.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The difference of two numbers is 12.

And, one of the numbers is 19.

Now,

Let two numbers are x and y.

So, We get;

x + y = 12

Here, one of the numbers is 19.

So, x = 19

We get;

x + y = 12

19 + y = 12

y = 12 - 19

y = - 7

Thus, The other number will be - 7.

Yes, There is only one answer.

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Step-by-step explanation:

-3x+7-5x<15

-5x-3x+7<15

-8x+7<15

-8x<15-7

-8x<8

The smallest integer is -3x.

Answer:

10

Step-by-step explanation:

If the decimal is .5 or above, round up to the next whole number. If the decimal is below .5, round down to the last whole number. Because .7 is greater than .5, we round up to 10.

Answer:

10

Step-by-step explanation:

In rounding, we look at the digit one place to the right of what we are rounding to.  If that digit that is one place to the right is 5 or greater, we increase our digit by one.  If that digit that is one place to the right is 4 or less, we leave our digit as it is.

Answer:

<STP

Step-by-step explanation:

Height of the base = 10cm

The definition of triangular volume?

Given a candy box is in the shape of triangular prism

           Volume of the box = 1200 cm³

           Base of the triangle = 10cm

           Side of the triangle = 13cm

           Length of the box = 20 cm

            Let the height of the base = h cm

Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)

   1200 = (1/2)×10×h×20

        1200 = 100h

      h = 1200/100

      h = 12 cm  

        So, height of the triangle = 10cm

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Answer:

Hey there!

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me!

Raíz cuadrada de 864

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

The general equation of ellipse is given as, x2a2+y2b2=1 x 2 a 2 + y 2 b 2 = 1 , where, a is length of semi-major axis and b is length of semi-minor axis.

centro: (0,0)

focus : (0, -√28) , (0, √28)

eje conjugado = 2√3

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

de los focos podemos obtener que: √28

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

b = √3

podemos utilizar la siguiente fórmula para obtener a:

si despejamos a en la ecuación obtenemos lo siguiente:

ahora podemos sustituir los valores:

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

si graficamos la hipérbola, queda como en el documento adjunto.

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Option 1, {x | x = –4, –1, 3, 5, 6} is the domain of the given function.

For any function, domain is the set of all input values that are accepted by the given function. For example, if there is a function, say f(x) = x + 2, then all the values of x will make up the domain of f(x).

Here, we are given a function {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

In this case, all the input values = all the x values

and all the output values = all the y values

Thus, the domain of the given function will be a set containing the following x values-

3, 6, -1, 5, -4

Arranging these values in the ascending order we get,

-4, -1, 3, 5, 6

Therefore, the domain of the function can be represented as {x | x = –4, –1, 3, 5, 6}.

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