Find the measure of x

Answer:

2.)70

4.)451,17

Step-by-step explanation:

2.)

a1 = 8*5 = 40

a2 = ((20-8)*5)/2 = 30

aTotal = 40+30 = 70

4.)

a1 = 18*18 = 324

a2 = (πr²)/2 = 127,17

aTotal = 127,17 + 324 = 451,17

Transformation for A to B : Shift 2 unit horizontally.

Transformation for A to C : Shift 1 unit horizontally, 1 unit vertically.

Equation of Parabola A : y = - (x - 1)² + 1

Equation of Parabola B : y = - (x - 3)² + 1

Equation of Parabola C : y = - (x - 2)² + 2

Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It is a locus of a point, which moves so that distance from a fixed point (focus) is equal to the distance from a fixed line (directrix)

Fixed point is called focus.

Fixed line is called directrix.

Equation of the parabola having vertex (h, k).

y = a(x - h)² + k

Equation of Parabola A with vertex (1,1)

y = a(x - 1)² + 1

parabola A has point (0, 0) on it

0 = a (0 - 1)² + 1

a = -1

Equation of the parabola A

y = - (x - 1)² + 1

Shifting parabola A, 2 unit horizontally, we get parabola B

Equation of the parabola B

y = - (x - 3)² + 1

Shifting Parabola A, 1 unit horizontally and 1 unit vertically, we get parabola C

Equation of the parabola C

y = - (x - 2)² + 2

Hence, shifting 1 unit horizontally and 1 unit vertically in Parabola A we get parabola C and shifting 2 unit horizontally we get parabola B,

y = - (x - 1)² + 1 is equation of Parabola A.

y = - (x - 3)² + 1 is equation of Parabola B.

y = - (x - 2)² + 2 is equation of Parabola C.

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Answer:

[tex]12 {}^{21} [/tex]

Step-by-step explanation:

Multiply the exponents, hope it helped. If you need a more in depth explantion on how to do it then I can :).

Answer:

a): A line has a total degree of 180. So just subtract it. 180-92 is

y=88

b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.

y=45.

These are all the ones I can figure out. I hope someone else can get c) and d).

Answer:

this app is good

Step-by-step explanation:

yah

Answer:

1) 39

2) 13

3) 2

Step-by-step explanation:

1) She had 22 books, she now has 61 books, so she bought 61-22 = 39 books at the yard sale.

2) 143/11 = 13

3) 6-4 = 2

Answer:

Step-by-step explanation:

i don't know if this help :/

The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.

In other words, log2(x) = y, where 2^y = x.

Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.

Therefore, the log value of log2 is 1.

Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.

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Answer:

Step-by-step explanation:

26° + 100°

= 126°

360° - 126°

234°

The fraction that is bigger than 2/5 and smaller than 2/3 is 8/15.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3, 1/5 is a fraction.

We have,

Let the fraction be a/b.

2/5 < a/b < 2/3

Now,

a/b

= (2/3 + 2/5) / 2

= (10 + 6) / 30

= 16/30

= 8/15

= 0.533

Thus,

The fraction is 8/15.

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1) 16x - 12(1 + 2x) + 4 is the expression that are equivalent to 16x-12-24x+4.

An expression is a mathematical phrase that can contain numbers, variables, and operators. It can be a combination of these elements and can be evaluated to a specific value or a mathematical function.

An expression can be a simple mathematical statement such as 2x+3, or a more complex one involving multiple operations such as

(3x^2 - 4x + 5) / (2x +1). Expressions are used to represent mathematical operations, equations and relations between variables.

so we need to evaluate option 1 :

16x - 12 -24x +4

=> 16x - 12 -24x +4

the above expression is same as the expression mentioned in the question so option 1 is correct.

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Complete question :

Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.

1. 16x - 12(1 + 2x) + 4

2. 40x - 16

3. 4 - 12 + (2x - 3x)

4. -8(x+1)

Answer:

19/3

Step-by-step explanation:

x+1 2/3=8

1 2/3=5/3

x+5/3=8

x=8-5/3

x=24/3-5/3

x=19/3

Answer:

x = 8

Step-by-step explanation:

572 - 500 = 72

72 / 8 = 9.

But in order to spend less than 572, he has to buy 8 cases. If he buys 9 cases he will be exactly 572.

Answer:

9 or fewer cases

Step-by-step explanation:

Solving a two step equation:

First, determine how much he has left to spend

572 - 500 = 72

He has 72 dollars left to spend on soda

Each case is 8 dollars.

Divide how much he has to spend by the cost of each case

72/8 = 9

He can buy up to 9 cases and stay under budget.

Answer: x = 14

Step-by-step explanation:

    For points A, B, and C to be collinear, angle ABD and EBC must be vertical angles. Vertical angles are congruent so we will set them equal to each other and solve for x.

    Given:

126 = 9x

    Divide both sides of the equation by 9:

14 = x

    Reflexive property:

x = 14

Answer:

x^4

Step-by-step explanation:

[tex]x {}^{5} \times \frac{x {}^{3} }{x {}^{4 \\ } } \\ \\ \frac{ {x}^{8} }{x {}^{4} } \\ \\ x {}^{8 \: - \: 4} \\ {x}^{4} [/tex]

The expression that best represents the value of π is 37.68 / 12.

The circumference of a circle is the distance round the circle. The radius of a circle is the distance from the center of the circle to any point on the circumference.

The formula for circumference of a circle = 2πr

Where:

π = pi

r = radius

π = circumference / 2r

π = 37.68 / (2 x 6)

π = 37.68 / 12

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Answer:

Since the two computers back up at different intervals, we can find the least common multiple of the two intervals to determine how often they back up at the same time. The least common multiple of 5 and 2 is 10. Therefore, the two computers will back up at the same time every 10 minutes. In 24 hours, there are 60 minutes/hour * 24 hours = 1440 minutes. Dividing this by the interval of 10 minutes gives 1440 minutes / 10 minutes/backup = 144 backups. Therefore, the two computers will back up at the same time 144 times in 24 hours.

Step-by-step explanation:

The algebraic expression is represented as 4d - 2.5

An algebraic expression is simply defined as an expression that is composed of coefficients, factors, constants, terms, and variables.

They are also composed of mathematical operations, such as;

From the information given, we have that;

The variable = d

The constant = 2.5

The coefficient = 4

This is represented as;

4d - 2.5

Hence, the expression is 4d - 2.5

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Answer:

1.5x=3

x=3/1.5

x=2

.....

Answer:

Hello! answer: x = 2

Step-by-step explanation:

1.5 × 2 = 3

therefore x = 2 Hope that helps!

Answer:

I'm not sure what equation is needed here. Could you share the table?

Either way, you can take the number of students there are and multiply that to the number of chaperones needed per group of 12- basically see how many groups of 12 you can fit in the overall group of students

Answer:

no it is not equivalent

Step-by-step explanation:

4/3is not equal to 3/2

Answer:

yes

Step-by-step explanation:

not as a fraction, but as ratios they are equivalent

Answer:

[tex]C = \{0,7,14,21,28\}[/tex]

Step-by-step explanation:

Given

[tex]C \{7n: n < 5\}[/tex]

Required

List the elements

Assume that n is not negative, the values of n are:

[tex]n = \{0,1,2,3,4\}[/tex]

So, the values of C is:

[tex]C = 7 * n[/tex]

[tex]C = 7 * \{0,1,2,3,4\}[/tex]

Multiply each set element by 7

[tex]C = \{7 *0,7 *1,7 *2,7 *3,7 *4\}[/tex]

[tex]C = \{0,7,14,21,28\}[/tex]

Answer:

4 kkkkkkkkkkkkkkkkkkkkkk

Answer: 4

Step-by-step explanation:

1. 14-6 the 6 came from both 3’s

2. 14-6=8

3. 8/2 the 2 because of the 2 x’s

4. 8/2=4

Answer:

B

Step-by-step explanation:

It's B

First we multiply the coefficients. 6*3= 18, so we can immediately cross out A and D. Now, c^2 * c is c^3. So, its B.

Hope this helps !!

-Ketifa

Step-by-step explanation:

The area of the parking lot is  2,025 .81 meter2.

In essence, it is equal to 1/2 of the height times the base, or A = 1/2 b h. Therefore, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.

A triangular parking lot has sides measuring 90 meters, 54 meters, and 128 meters.

Triangle Height Determination Using Area

Now that you are aware of the triangle's area, you may use the triangle formula A=1/2bh to get the triangle's height.

s   = a + b+ c /2

90 + 54 + 128 / 2 = 136

A = [tex]\sqrt{s (s-a) (s-b) (s-c)}[/tex]

A = [tex]\sqrt{136(136-90)(136-54)(136-128}[/tex])

A = 2,025 .81

The area of the parking lot is  2,025 .81 meter2.

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Answer:

Adding the exponents

Step-by-step explanation:

Multiplying exponential terms with the same base

To multiply exponents with same base , we use exponential property

[tex]a^m \cdot a^m=a^{m+n}[/tex]

When we multiply exponents with same base then we add the exponents

So, adding the exponents best explains to simplify the expression that has same base with exponents .

Answer:

4

Step-by-step explanation:

Looking at the stem and leaf plot, we have 4 zoos that have less than 18 sloths, with one zoo having 3, one having 16, and two having 17.

As per the power rule of exponents, the solution of 3 to the power of 3 is 27.

The term exponent in math is defined as a number shows how many times the number is multiplied by itself.

Here we have to solve 3 to the power of 3.

Here according to the Power Rule of Exponents then we have the rule as

=> aⁿ = a × a × a... (n times)

Therefore, the given expression is written as

=> 3³

Now, based on the power of exponent rule it can be rewritten as,

=>  3 × 3 × 3

Then we have to multiply the values then we get

=> 27

Therefore, the value of 3 raised to 3rd power is 27.

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Answer:12+2y

Step-by-step explanation:Multiple the -2 by each value inside of the parenthesis, -2 * -6 = 12, -2 * -y = 2y, then add these together to get 12+2y.