(28)/(x)*(4)/(5)+1=22

The measure of DE is 10 from the given figure

Since the given trapezoid is an isosceles trapezoid, this shows that two of the sides will be equal. According to the given diagram, we can say that:

Given the following parameters

DG = 2x + 5

EF = 3x + 2

2x + 5 = 3x + 2

Collect the like terms

2x - 3x = 2 - 5

-x = -3

x = 3

Get the measure of DE

DE = 4x - 2

DE = 4(3) - 2

DE = 12 - 2

DE = 10

Hence the measure of DE is 10 from the given figure

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Answer:

$50, 000 +4+30 =$ 84.000

jadi 84⁴%

25+4% = 29%

Step-by-step explanation:

i'm sorry ya kalo jawaban nya salah

Answer:

juan is 13

robert is 8

y=2x-3

Step-by-step explanation:

The equation might be wrong.

Good luck!

Answer:

57% incorrect

Step-by-step explanation:

100- 43= 57. Assuming that the test is out of 100%, he got 57% of the test incorrect

Option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)

We have to find the product of (3a²b⁷)(5a³b⁸)

a and b are the variables in the expression.

We have to find the product.

Let us first multiply the constant terms which are 3 and 5 we get 15

15 (a²b⁷)(a³b⁸)

We know that in a product if the bases are same then the powers will be added

15a⁵b¹⁵

Hence, option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)

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Answer:

1/10 or .1

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

what's the rest of the problem?

Answer:

Step-by-step explanation:

Since x=2 is a vertical line, there is no y-intercept

Answer:

Heloo

Step-by-step explanation:

Simplifying

3x + 21 = 6x + -60

Reorder the terms:

21 + 3x = 6x + -60

Reorder the terms:

21 + 3x = -60 + 6x

Solving

21 + 3x = -60 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

21 + 3x + -6x = -60 + 6x + -6x

Combine like terms: 3x + -6x = -3x

21 + -3x = -60 + 6x + -6x

Combine like terms: 6x + -6x = 0

21 + -3x = -60 + 0

21 + -3x = -60

Add '-21' to each side of the equation.

21 + -21 + -3x = -60 + -21

Combine like terms: 21 + -21 = 0

0 + -3x = -60 + -21

-3x = -60 + -21

Combine like terms: -60 + -21 = -81

-3x = -81

Divide each side by '-3'.

x = 27

Simplifying

x = 27

Answer:

Step-by-step explanation:

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

Answer:

x=7−√10 or x=7+√10

Step-by-step explanation:

−5(x−7)2+30=−20

Step 1: Simplify both sides of the equation.

−5x2+70x−215=−20

Step 2: Subtract -20 from both sides.

−5x2+70x−215−(−20)=−20−(−20)

−5x2+70x−195=0

For this equation: a=-5, b=70, c=-195

−5x2+70x+−195=0

Step 3: Use quadratic formula with a=-5, b=70, c=-195.

x=

−b±√b2−4ac

2a

x=

−(70)±√(70)2−4(−5)(−195)

2(−5)

x=

−70±√1000

−10

x=7−√10 or x=7+√10

Answer:

True

16 < 22 + 8

16 < 30

Step-by-step explanation:

add 8

Answer:

19 + 12 = 31

Step-by-step explanation:

the subtraction and negative make it positive so that is how you get addition

Answer:

19-(-12) = 19+12=31

Step-by-step explanation:

When ever there is a negative number after a subtraction sign, you can change the subtraction to addition and change the negative to a positive.

Answer:

9:36:45

Step-by-step explanation:

You add up 1+4+5=10

divide 90 by 10 = 9

multiply each part of the ratio by 9

1*9:4*9:5*9

Therefor you get the answer: 9:36:45

Hope this helps

The division of the number 90 in the ratio 1:4:5 will be 9:36:45.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the number 90 is divided in the ratio 1:4:5. The division will be done as below,

x + 4x + 5x = 90

10x = 90

x = 90 / 10

x = 9

The ratio will be,

1:4:5 = 9 : ( 9 x 4 ) : ( 9 x 5 )

1:4:5 = 9: 36: 45

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Answer:

[tex]\huge\boxed{p=2}[/tex]

Step-by-step explanation:

In order to simplify this equation [tex](8^9)^p = 8^{18}[/tex], we have to use basic exponent rules.

Exponent rules tell us that [tex](a^b)^c = a^{b\cdot c}[/tex].

We have [tex](8^9)^p[/tex], so this means that it's equivalent to [tex]8^{9 \cdot p}[/tex] or just [tex]8^{9p}[/tex].

Now, we have [tex]8^{9p}=8^{18}[/tex]

Let's just focus on the exponents for now.

Since we know that in order for  [tex]8^{9p}[/tex] to be equivalent to [tex]8^{18}[/tex], the exponents must be the exact same. So, [tex]9p=18[/tex].

We can find p by divide both sides by 9.

[tex]p = 2[/tex]

Hope this helped!

Answer:

33.6

Step-by-step explanation:

2.1 times 16=33.6

Answer:

x = 1, XZ = 48

Step-by-step explanation:

So you already have the diagram with the number labeled,

4(x + 5) and 2(x + 11)

We know that Y is the midpoint between X and Z so we know that XY = YZ:

4(x + 5) = 2(x + 11)

Let's solve the equation for x:

4x + 20 = 2x + 22 (Distributive Property)

Subtract 20 from both sides:

4x = 2x + 2

Subtract 2x from both sides:

2x = 2

Divide both sides by 2:

x = 1

So now we know that x = 1, we want to find XZ:

XZ = 4(x + 5) + 2(x + 11)

We can plug in x (1):

XZ = 4(1 + 5) + 2(1 + 11)

Simplify:

XZ = 4(6) + 2(12)

XZ = 24 + 24

XZ = 48

Answer:

768.21 ML

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

(7x^3y^3)^2

= (7)^2 * (x^3)^2 * (y^3)^2

= 49 * x^(3*2) * y^(3*2)

= 49x^6y^6

You have to distribute the terms in "7x^3 * y^3" each to the power of 2

(7)^2 * (x^3)^2 * (y^3)^2

Now you can apply the rule "(x^a)^b = x^a*b" and further simplify the expression

Answer:

it is c

Step-by-step explanation:

2x7=49 so its not a or d. 3x2=6 so both would be six so it is 49x^6y^6

Answer:

a. 4.35 x 10-⁴

= 0.000435

b. 4.16 x 10¹

= 41.6

c. 9.2 x 10-³

= 0.0092

d. 1.1 x 10-⁵

= 0.000011

e. 6.5 x 10⁵

= 650000

Step-by-step explanation:

Very simple and quick

Answer:

15,20,25

Step-by-step explanation:

The ratio of the sides is 3:4:5

So 3x + 4x + 5x = 60

12x = 60

x = 60/12

x = 5

The sides are therefore

3x = 3*5 = 15

4x = 4*5 = 20

5x = 5*4 = 25

Total          60 just what it should be    

Answer:

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

Step-by-step explanation:

In slope intercept form y = mx + b

We have the y intercept already so our equation becomes y = mx -3. Now we need to figure out the slope, we do this by subtracting the y values from both points and the x values from both points:

-3 - 0 = -3

0 - 4 = -4

Slope = -3/-4 the negatives cancel and now we have 3/4 as the slope.

Now the equation is y = 3/4x -3

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

Double checking by inputting values such as x = 0 we now get (0, -3) which is correct and if the x-intercept is 4 then it should give us a y value of 0 which = (4,0). Yep! This is the correct linear equation for the line described

Answer:

4 Pieces

Step-by-step explanation:

8 ÷ 2 = 4

Answer:

Step-by-step explanation:

Hello there!

He has 8 ft of wood, and he needs each peice to be 2 ft long. To solve this, we divide 8 ft by 2 ft (this will determine how many 2 ft peices can be cut from 8 ft). 8 ÷ 2 = 4, so this means he can cut four peices of wood to build the doghouse for Chester!

I hope this answer helped you! If it did, please rate it and give it a Thanks!

Have a wonderful day!

The question is incomplete. Here is the complete question.

The probability density function of the time to failure of an electronic component in a copier (in hours) is

                                              [tex]f(x)=\frac{e^{\frac{-x}{1000} }}{1000}[/tex]

for x > 0. Determine the probability that

a. A component lasts more than 3000 hours before failure.

b. A componenet fails in the interval from 1000 to 2000 hours.

c. A component fails before 1000 hours.

d. Determine the number of hours at which 10% of all components have failed.

Answer: a. P(x>3000) = 0.5

              b. P(1000<x<2000) = 0.2325

              c. P(x<1000) = 0.6321

              d. 105.4 hours

Step-by-step explanation: Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

So, probability function is given by:

P(a<x<b) = [tex]\int\limits^b_a {P(x)} \, dx[/tex]

Then, for the electronic component, probability will be:

P(a<x<b) = [tex]\int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx[/tex]

P(a<x<b) = [tex]\frac{1000}{1000}.e^{\frac{-x}{1000} }[/tex]

P(a<x<b) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]

a. For a component to last more than 3000 hours:

P(3000<x<∞) = [tex]e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}[/tex]

Exponential equation to the infinity tends to zero, so:

P(3000<x<∞) = [tex]e^{-3}[/tex]

P(3000<x<∞) = 0.05

There is a probability of 5% of a component to last more than 3000 hours.

b. Probability between 1000 and 2000 hours:

P(1000<x<2000) = [tex]e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}[/tex]

P(1000<x<2000) = [tex]e^{-2}-e^{-1}[/tex]

P(1000<x<2000) = 0.2325

There is a probability of 23.25% of failure in that interval.

c. Probability of failing between 0 and 1000 hours:

P(0<x<1000) = [tex]e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}[/tex]

P(0<x<1000) = [tex]e^{-1}-1[/tex]

P(0<x<1000) = 0.6321

There is a probability of 63.21% of failing before 1000 hours.

d. P(x) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]

0.1 = [tex]1-e^\frac{-x}{1000}[/tex]

[tex]-e^{\frac{-x}{1000} }=-0.9[/tex]

[tex]{\frac{-x}{1000} }=ln0.9[/tex]

-x = -1000.ln(0.9)

x = 105.4

10% of the components will have failed at 105.4 hours.

Answer:

you need to put numbers

Answer:

4.25 hours

Step-by-step explanation:

38.25/9

Answer:

Non linear function

Step-by-step explanation:

Its not straight no not linear and relations are not that at all