[tex]64 {x}^{2}- 25y^{2} [/tex]
Factor.​

1) 29

2) -15

//Hope this helps.

Answer:

1).   (3² - 4²) = 29

2).  5a - 7b + b² = -15

Step-by-step explanation:

Points to remember

1) (a² - b²) = (a + b) (a - b)

Solve 22 - (3² - 4²)

To find (3² - 4²)

(3² - 4²) can be written as,

(3² - 4²) = (3 + 4 ) (3 - 4) = 7 * -1 = -7

22 - (3² - 4²)  = 22 - (-7) = 22 + 7 = 29

22 - (3² - 4²) = 29

To solve 5a - 7b + b²for a = -1 and b= 5

Substitute the value of a and b in given expression we get,

5a - 7b + b² = (5 * -1) - (7 * 5) + 5²

= -5 - 35  + 25 = -15

Therefore 5a - 7b + b² = -15

Answer: 2.3

Step-by-step explanation:

 The triangle shown in the image attached is a right triangle.

Therefore, you can calculate the missing lenght of the triangle (x), by applying the proccedure shown below:

- Apply [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

- Substitute values.

- Solve for the missing side x.

Therefore, you obtain the following result:

[tex]tan\alpha=\frac{opposite}{adjacent}\\tan(25)=\frac{x}{5}\\x=5*tan(25)\\x=2.3[/tex]

Answer:

The value of x = 2.3 units to the nearest tenth

Step-by-step explanation:

* The triangle is right angle triangle

- We can use one of the trigonometry functions to find the value of x

∵ The measure of the one of the acute angle is 25°

∵ The length of the adjacent side of the angle is 5 units

∵ The length of the opposite side of the angle is x

- because we have opposite and adjacent of the given angle

∴ We will use the tan function

∵ tanФ = opposite to Ф/adjacent to Ф

∴ tan25 = x/5 ⇒ by using cross-multiplication

∴ x = 5 × tan25 = 2.33 ≅ 2.3

∴ The value of x = 2.3 units to the nearest tenth

Answer:

[tex]x=12[/tex] (12 nickels))

[tex]y=5[/tex] (5 dimes)

Step-by-step explanation:

Based on the information given in the problem, you can set up the following system of linear equations, where:

x: number of nickels.

y: number of dimes.

Then

FIRST EQUATION: [tex]x+y=17[/tex]

SECOND EQUATION: [tex]5x+10y=110[/tex]  (in cents)

You can apply the Substitution method:

- Solve for x from the first equation.

- Substitute into the second equation and solve for y.

 Then:

[tex]x=17-y[/tex]

[tex]5(17-y)+10y=110\\85-5y+10y=110\\5y=25\\y=5[/tex]

- Find x:

[tex]x=17-5\\x=12[/tex]

Negative exponents work like this: you have to consider the multiplicative inverse of the positive exponent.

So you have

[tex] y={-3} = \dfrac{1}{y^3},\quad x^{-5} = \dfrac{1}{x^5}[/tex]

The third expression already contains positive exponents only, you don't have to do anything.

Answer:

[tex]A=163.9in^2[/tex]

Step-by-step explanation:

Let's use the regular polygon area formula when given the radius.

[tex]A=\frac{(r^{2})(n)sin(\frac{360}{n})}{2}[/tex]

r is radius

n is the number of sides

Let's plug in the proper values into this equation and simplify:

[tex]A=\frac{(7.74^{2})(7)sin(\frac{360}{7})}{2}[/tex]

[tex]A=\frac{(59.9076)(7)(0.78183148)}{2}[/tex]

[tex]A=\frac{327.86353299}{2}[/tex]

[tex]A=163.93176649[/tex]

So just say the piece of land is in the shape of a rectangle and a triangle put together. To find the length (perimeter) add each sides up and subtract the line where the two shapes meet. To find the acreage (area) find the area of the rectangle (length*width) and add the area of the triangle (1/2*base*height)

Answer with explanation:

1.→Answer Written by Jack is Incorrect.

[tex]m^n=\text{exponent}\\\\\frac{x^a}{x^b}=x^{a-b}\\\\x^a \times x^b=x^{a+b}[/tex]

Error:Instead of subtracting powers,jack has added powers of same exponent.

Correct Solution:

    [tex]=\frac{54\times x^9 \times y^8}{6\times x^3 \times y^4}\\\\ \text{Here ,correct answer should be}=9\times x^{9-3} \times y^{8-4}\\\\=9 x^6 y^4[/tex]

2.Initial Amount, a=78,000

Rate =3 %=0.03

Error: Rate percent should be divided by 100, to get the value of b.

So, b= 0.03

Correct Solution:

Exponential growth is given by

  [tex]y=a\times b^x\\\\y=78,000\times (0.03)^x[/tex]

3.The Expression is

[tex]m^2-13 m -30\\\\a=1, b= -13,c= -30\\\\ac=-30\\\\b=-13= -15 +2,as -15 \times 2 = -30\\\\\text{Equivalent expression}=(m-15)(m+2)[/tex]

Option A: (m-15)(m+2)  

[tex]4.\rightarrow x^n=(x^3) \times (x^{-17})\\\\=\text{using law of indices},x^a\times x^b=x^{a+b}\\\\x^n=x^{3-17}\\\\x^n=x^{-14}\\\\n=-14[/tex]  

The equivalent of an expression is the other form of the expression.

The equivalent expression is: [tex]\mathbf{x^{-14}}[/tex]

The expression is given as:

[tex]\mathbf{(x^3)(x^{-17})}[/tex]

Remove brackets

[tex]\mathbf{(x^3)(x^{-17}) = x^3 \times x^{-17}}[/tex]

Apply law of indices

[tex]\mathbf{(x^3)(x^{-17}) = x^{3-17}}[/tex]

[tex]\mathbf{(x^3)(x^{-17}) = x^{-14}}[/tex]

Hence, the equivalent expression is: [tex]\mathbf{x^{-14}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/15715866

Answer:

  D. A table of values represents points that lie on the graph of a linear function.

Step-by-step explanation:

A table of values can represent any relation, not necessarily a linear function. Statement D is not always true.

Statement D, 'A table of values represents points that lie on the graph of a linear function,' is not always true. A table of values could represent various types of functions or data sets. All other statements are correct for a linear function.

Let's analyze each of the given statements to identify which one is not always true:

Therefore, the correct answer is D. A table of values represents points that lie on the graph of a linear function.

Answer:

$43.00

Step-by-step explanation:

final price = marked price + tax

= marked price + (tax rate) · (marked price)

= (marked pric) · (1 + tax rate)

= $40.00 · 1.075

= $43.00

Hey there!

The correct answer is D. Nine Hundred Thousand

This is the place it’s in => 900,000

Hope this helps you!

God bless ❤️

Brainliest would be appreciated!

xXxGolferGirlxXx

Answer:

  75 + 22.50d = 300

Step-by-step explanation:

The equation sums the amount Kyle currently has (75) with the amount he saves in d days (22.50d). It sets that total to 300, since Kyle hopes to save a total of $300 in d days.

Answer:

7

Step-by-step explanation:

Add them and hen divide by how many numbers there are

Answer:

Step-by-step explanation:

With the variables defined as above, the total amount spent is ...

  x + y = 56 . . . . . the amount spent on accessories and clothes

When the amount spent on accessories is subtracted from the amount spent on clothes, the result is $18, so we can write another equation that says this:

  y - x = 18

Both equations can be rearranged to put y alone on the left. In the first case, we add -x to both sides of the equation. In the second case, we add x to both sides of the equation.

Answer: Darren’s range is 20 points.

Step-by-step explanation: A range is the difference between the highest score and the lowest score. With the lowest score being 280 and the highest score being 300, the difference is 20 points for the range.

Answer:

s + 10

Step-by-step explanation:

Ruben has s number of shoes. Then, 10 more shoes that Ruben has is

s + 10

Final answer:

To write an expression for 'ten more shoes than Ruben,' define a variable for Ruben's shoes, for example, R, and then add 10. The expression is R + 10.

Explanation:

If you want to write an expression for "ten more shoes than Ruben," you need to start by defining a variable for the number of shoes that Ruben has. Let's say that R represents the number of shoes Ruben has. Then, to express "ten more shoes than Ruben," you simply add 10 to that variable. Therefore, the expression would be R + 10. This straightforward notation clarifies the relationship between Ruben's shoe count and the additional ten pairs. By employing variables and simple arithmetic operations, such as addition, this expression succinctly conveys the concept of having ten more shoes than Ruben, facilitating mathematical communication and problem-solving.

Answer:

  1/3

Step-by-step explanation:

1/2 of 2/3 = 1/2·2/3 = (1·2)/(2·3) = 1/3

Answer:

y-5=3x+2

Step-by-step explanation:

1) to make up the equation through the given two points:

[tex]\frac{x+8}{-6+8}= \frac{y+1}{5+1}; \ => \ y=3x+24[/tex]

2) to change that equation according to the condition:

y-5=3x+24-5; ⇔ y-5=3x+19.

P.S. the way suggested above is not the shortest one.

I guess you mean

[tex]\sec^6x(\sec x\tan x)-\sec^4x(\sec x\tan x)=\sec^5x\tan^3x[/tex]

On the left side, we have a common factor of [tex]\sec^4x(\sec x\tan x)=\sec^5x\tan x[/tex], so that

[tex]\sec^6x(\sec x\tan x)-\sec^4x(\sec x\tan x)=\sec^5x\tan x(\sec^2x-1)[/tex]

Recall that

[tex]\sec^2x=1+\tan^2x[/tex]

from which it follows that

[tex]\sec^5x\tan x(\sec^2x-1)=\sec^5x\tan x\tan^2x=\sec^5x\tan^3x[/tex]

Answer:

A''(7, 5)

Step-by-step explanation:

Reflection over the line x=L is the transformation ...

(x, y) ⇒ (2L-x, y)

For L=-5, this is ...

(x, y) ⇒ (-10 -x, y)

Then, translation over the line x=2 gives ...

(x, y) ⇒ (2·2 -(-10 -x), y) = (14+x, y)

So, the point (-7, 5) is translated to (14-7, 5) = (7, 5).

Answer:

x=2y^2 -24y + 69

Step-by-step explanation: Move the expression to the right side and change its sign.

Answer:

4 units

Step-by-step explanation:

The distance from x=-5 to x=-1 on the line y=4 is -1-(-5) = -1+5 = 4 units.

_____

It might help to plot the points on a graph and count the grid squares between them.

Answer:

4 units

Step-by-step explanation:

on edge

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

QS^2+SR^2=QR^2

10^2+10^2=QR^2

100+100=QR^2

200=QR^2

[tex]\sqrt{200}=QR[/tex]

[tex]10\sqrt{2}[/tex]

Answer:

In right Δ QRS, right angled at , S.

By Pythagorean theorem

→(Hypotenuse)²=(Altitude)^2 +(Base)²

→ Q S² + SR² = QR²

→10² +10²= QR²

→ QR²=100+100

→ QR²=200

[tex]QR=\sqrt{200}\\\\ QR=\sqrt{10 \times 10 \times 2}\\\\ QR=10\sqrt{2}[/tex]

Option D

Hypotenuse[tex]=10\sqrt{2}[/tex] units

all are corespondent to each lateral line

Answer:

B. 2x – 1 = 13 and x = 7

Step-by-step explanation:

We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

Option A.

2x -1 = 13 and x = 6

Using this value in the equation, we get:

2(6) -1 = 13

12 - 1 = 13

11 = 13, which is not true. Hence this option is not valid

Option B.

2x - 1 = 13 and x = 7

Using the value in the equation, we get:

2(7) - 1 =13

14 - 1 =13

13 = 13, which is true. Hence this option is valid.

Option C.

2x + 1 =13 and x = 7

Using the value in the equation, we get:

2(7) + 1 = 13

15 = 13, which is not true. So this option is not valid

Option D.

2x - 1 = 13 and x = 11

Using this value in the equation, we get:

2(11) - 1 = 13

21 = 13, which is not true. Hence this option is not valid.

Given a markup of 80% and a selling price of $100.80, the cost price is approximately $56. Subtracting this from the selling price yields a cost to store of $44.80.

To find the cost to store, we need to first calculate the cost price using the selling price and the markup percentage.

Given:

- Markup percentage: 80%

- Selling price: $100.80

Step 1: Calculate the cost price using the formula:

[tex]\[ \text{Cost Price} = \frac{\text{Selling Price}}{1 + \frac{\text{Markup Percentage}}{100}} \][/tex]

Substitute the given values:

[tex]\[ \text{Cost Price} = \frac{100.80}{1 + \frac{80}{100}} \][/tex]

[tex]\[ \text{Cost Price} = \frac{100.80}{1 + 0.80} \][/tex]

[tex]\[ \text{Cost Price} = \frac{100.80}{1.80} \][/tex]

[tex]\[ \text{Cost Price} ≈ 56 \][/tex]

Step 2: Calculate the cost to store by subtracting the cost price from the selling price:

[tex]\[ \text{Cost to store} = \text{Selling Price} - \text{Cost Price} \][/tex]

[tex]\[ \text{Cost to store} = 100.80 - 56 \][/tex]

[tex]\[ \text{Cost to store} = 44.80 \][/tex]

So, the cost to store is $44.80.

the next number can be 34 as the sequence goes in difference of 1,2,3,4,5,6,5,2,1,1so I think it will continue with sequence 1

The value of the next number is 34

A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.

There are two types of sequence, the arithmetic sequence and geometry sequence.

Example of arithmetic sequence is 2,4,6 ,8, 10... and we get the next number by adding 2. Also

Example of geometry sequence is 2,4,8,16,32... we get the next number by multiplying 2.

From the sequence above the next number will be 34 because the last three number has a common difference of 1.

learn more about sequence from

https://brainly.com/question/6561461

#SPJ6

Answer:

-5 2/3 points per minute

Step-by-step explanation:

change / time = (-85 points)/(15 minutes) = -17/3 points/minute = -5 2/3 points/minute

put it on negative three

Answer:

Draw an open circle at -4 and shade in the line to the left of -4.

Step-by-step explanation:

x < -4 means that the number is to the left of -4 on the number line.

To graph the inequality, draw an open circle at -4 to show that the number cannot be -4.

However, the number can be anywhere to the left of -4, so you shade in that part of the line.

Answer:

C:12

Step-by-step explanation:

should be 13.5

The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set.

so the middle number of 10,11,12,15,17,19 is 13.5   since 12+15=27/2=13.5

the closest answer choice is C! Hope this helped!

Answer:

The correct option is C.

Step-by-step explanation:

The given data set is

10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38

Divide the data in two equal parts.

(10, 11, 12, 15, 17), 19, (22, 24, 29, 33, 38)

Divide each parenthesis in two equal parts.

(10, 11), 12, (15, 17), 19, (22, 24), 29, (33, 38)

The first quartile is 12, second quartile or median is 19 and third quartile is 29.

Since the first quartile of the data set is 12 Therefore, the correct option is C.

Answer:

  63.7%

Step-by-step explanation:

If a point is chosen from the circle at random, the probability it came from the shaded region is the ratio of the area of the shaded region (square) to the area of the circle.

  area of square = (1/2)(diagonal)^2 = (1/2)·(2 in)^2 = 2 in^2

  area of circle = πr^2 = π·(1 in)^2 = π in^2

Fraction of circle that is shaded = (square area)/(circle area) = 2/π ≈ 63.7%

63.7% good luck hope it’s right