Mathematics, 26.09.2021 14:00, aliyahgregory
Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6.

Answer:

i think its 700 hope it help

Step-by-step explanation:

the answer would be

70 times

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Hello!

If Cora had some $5 bills in a jar on January 1st and each month she added 50 $5 bills to the jar and after one year she had a total of $4,500. She had 300 $5 bills on January 1st.

Step-by-step explanation:

There are 12 months in a year and she added 50 $5 bills each month.

\(50\) × \(5=250\) × \(12=3,000\)

After a year she had a total of $4,500 including the money she had in the jar at the beginning of the year.

\(4,500-3,000\)\(= 1,500\)

To find the total amount of $5 she had at the beginning of the year you divide.

\(1,500\) ÷ \(5= 300\)

Hope this helped!

The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

the answer to your question is 21721

Answer:4-2x/4

Step-by-step explanation:

The equivalent value of the expression is y = ( 1/2 )x - 1

Given data ,

Let the equation be represented as A

Now , the value of A is

2x - 4y = 4

On simplifying the equation , we get

2x - 4y = 4

So , the left hand side of the equation is equated to the right hand side by the value of ( 4 )

Adding 4y on both sides , we get

2x = 4y + 4

Subtracting 4 on both sides , we get

4y = 2x - 4

Divide by 4 on both sides , we get

y = ( 2x - 4 ) / 4

On simplifying , we get

y = ( 1/2 )x - 1

Therefore , the value of y = ( 1/2 )x - 1

Hence , the expression is y = ( 1/2 )x - 1

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Answer:60,000

Step-by-step explanation:

El costo de un terreno es IP al cuadrado de la distancia que lo separa de Lima y DP a su área. Esto se puede expresar como:

Costo = IP^2 * DP / Distancia^2

Sabemos que el costo de un terreno es de 540 mil, por lo que podemos escribir:

540,000 = IP^2 * DP / Distancia^2

Ahora consideremos el segundo terreno, que tiene el doble de área y está a una distancia 3 veces mayor que la del primer terreno. Si llamamos "Distancia anterior" a la distancia del primer terreno, entonces la distancia del segundo terreno es 3 veces la distancia anterior, es decir:

Distancia = 3 * Distancia anterior

Además, sabemos que el segundo terreno tiene el doble de área que el primero, por lo que podemos escribir:

Área = 2 * Área anterior

Reemplazando estas expresiones en la ecuación anterior, obtenemos:

Costo = IP^2 * DP / (3 * Distancia anterior)^2

Simplificando:

Costo = IP^2 * DP / 9 * Distancia anterior^2

Pero sabemos que el costo del segundo terreno es lo que estamos buscando. Llamemos "Precio del segundo terreno" a este valor. Entonces:

Precio del segundo terreno = IP^2 * DP / 9 * Distancia anterior^2

Como el costo del primer terreno es 540 mil, podemos reemplazar los valores conocidos:

540,000 = IP^2 * DP / Distancia anterior^2

Despejando IP^2, tenemos:

IP^2 = 540,000 * Distancia anterior^2 / DP

Reemplazando esta expresión en la ecuación anterior, obtenemos:

Precio del segundo terreno = (540,000 * Distancia anterior^2 / DP) * DP / 9 * Distancia anterior^2

Simplificando:

Precio del segundo terreno = 60,000 / DP * 2

Por lo tanto, el precio del segundo terreno es de 60,000 dividido por dos veces el valor de DP.

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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The inverse statement is false.

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Answer:

-414.4 F° and 226.4 F°

hope it helps

Answer:

$518.85/x

Step-by-step explanation:

$582.85 - $64 = $518.85

$518.85/x = How much each player would get

Answer:

1. (582.85-64)/p

2. 64.85

Step-by-step explanation:

i did the assignment and got it correct.

hope this helps!

Answer: a total of 1203 feet

Step-by-step explanation: common sense

Answer:

1203 feet

Step-by-step explanation:

The height of the cylinder with the same base and volume as the cone is 12 cm.

The volume of a cone and a cylinder of the same base and height can be found using the formula V = πr2h. The radius (r) is half the diameter which, in this case, is 5 cm. Therefore, the equation for the cone is V = \(π(5^2)12\)and the equation for the cylinder is V = π(5^2)h. To find the height of the cylinder, both equations must be set equal to each other, V =\(π(5^2)12\) = \(π(5^2)h\), and h can be isolated by dividing both sides by \(π(5^2)\). This yields h = 12 cm. Thus, the height of the cylinder with the same base and volume as the cone is 12 cm.

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The student's error in the problem is during the solution of (x + 1)², as the correct result is x² + 2x + 1 instead of x² + 1x + 1.

The simplified expression is then given as follows:

g(x) = 2x² + 4x - 4.

The expression in the context of this problem is defined as follows:

g(x) = 2(x + 1)² - 6.

For the square of the addition, we have that:

(x + 1)² = (x + 1)(x + 1) = x² + x + x + 1 = x² + 2x + 1.

Hence the simplified expression is obtained applying the distributive property and then combining the like terms as follows:

g(x) = 2(x² + 2x + 1) - 6

g(x) = 2x² + 4x + 2 - 6

g(x) = 2x² + 4x - 4.

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Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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The amount after 4 years is $15036

Interest is the amount of money u receive when you invest certain amount of money for certain period of time .

It is given that

Principal = $10,000

Interest = 6% compounded yearly,

time =4 years.

\(\rm Amount = P (1 + \dfrac{r}{n})^{nt}\)

Amount = 10000(1+ (6/100))⁴

Amount = $15036

Therefore the amount after 4 years is $15036.

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Answer: $12,624.77

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Answer: 2x

Step-by-step explanation: because 5+2-3=4

Answer:

2x

Step-by-step explanation:

5x + ____ - 3x = 4x

Put the blank in for 0x or 0, or nothing,

5x - 3x = 2x.

Subtract 2x from 4x

4x - 2x = 2x

Put 2x in for blank

5x + 2x - 3x

Combine 5x and 2x

7x - 3x = 4x

It is correct

I Hope That This Helps! :)

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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The quadratic function that represents the given graph is:

y = ¹/₂(x − 4)² - 1

The general form of a quadratic equation in Vertex Form is expressed as:

y = a(x − h)² + k,

where

(h, k) is the vertex.

From the given graph, we can see that the coordinates of the vertex is (4, -1). Thus, we have:

y = a(x − 4)² - 1

Looking at the four given options from Option A to Option D, we can deduce that only given option that gives us the coordinates of the quadratic curve vertex is option D.

Thus, we can conclude that the quadratic function that truly represents the given parabolic graph curve is:

y = ¹/₂(x − 4)² - 1

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Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

Answer: 2800 Tiles

Step-by-step explanation: area of the room = l × b

                                             = 350 × 200 = 70,000

  Area covered by one tile = 5 × 5 = 25

 No. of tiles required to cover entire room = 70,000/25

                                                                       =  2,800

total 2,800 tiles would be needed to tile the complete room.

Answer:

Step-by-step explanation:

Just divide the two areas 350 x 200 /(5 x 5)

350 x 8 = 2800 tiles

Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = \(\frac{-1-1}{4-0}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\)

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of line

Answer:260000

Step-by-step explanation:

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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