can anyone help me do the slope for this?

Answer:

A = 102°   B = 78°

Step-by-step explanation:

(3x + 12°) + (2x + 18°) = 180°

5x = 180° - 12° - 18°

5x = 150|:5

x = 30°

Answer: x=30 A=102 B=78

Step-by-step explanation:

These are linear pairs so they add up to 180.

Your equation is: 3x+12+2x+18=180

5x+30=180

x=30

Plug x into the equations to find their values.

3(30)+12=102

2(30)+18=78

Answer:

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Step-by-step explanation:

Given

[tex]y" + 9y' + 18y = 24x^2 + 40x + 8 + 12e^x[/tex] ---- (1)

[tex]y_p(x) = e^x + 4x^2[/tex]

Required

The general solution of [tex]y(x)[/tex]

Let

[tex]y = e^{nx}[/tex] be the trial solution of (1)

So:

[tex]y" + 9y' + 18y = 0[/tex] becomes

[tex]n^2 + 9n + 18 = 0[/tex]

Expand

[tex]n^2 + 6n+3n + 18 = 0[/tex]

Factorize

[tex]n(n + 6)+3(n + 6) = 0[/tex]

Factor out n + 6

[tex](n + 6)(n + 3) = 0[/tex]

Split

[tex]n +6 = 0\ or\ n + 3 = 0[/tex]

Solve for n

[tex]n =-6\ or\ n = -3[/tex]

So:

[tex]y = e^{nx}[/tex] becomes:

[tex]y = c_1e^{-6x} + c_2e^{-3x}[/tex]

[tex]y_p(x) = e^x + 4x^2[/tex] becomes

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Where: [tex]c_1[/tex] and [tex]c_2[/tex] are arbitary constants

9514 1404 393

Answer:

  7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

  [tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

__

Additional comments

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

Answer:

D = 110

Step-by-step explanation:

MPTS is similar to CDHK

That means

angle M = C

P = D

T = H

S = K

We know P = 110 so D = 110

Answer:

B)  y < -x + 1

Step-by-step explanation:

you can see from the x-and-y intercepts that the equation of this line is:

y = -x + 1

now you must determine whether the equal sign should be replaced with '<' or '>'

you can use the point (0,0) to see if that makes y > -x + 1 true or false:

0 > 0+1   This is False

so the answer should be:  y < -x + 1

9514 1404 393

Answer:

  38

Step-by-step explanation:

The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.

Step-by-step explanation:

we can simplify the stuff inside the parentheses to

[tex] \frac{ {x}^{3} }{2y} [/tex]

now we need to multiply it with itself, giving us

[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]

so yeah, D is the correct answer

Answer:

572.6

Step-by-step explanation:

400 = 220 [tex]x^{5}[/tex]

ln(400/220) = 5 ln(x)

ln(x) = .1195

x = [tex]e^{.1195}[/tex]

x = 1.127

Y = 220[tex](1.127)^{8}[/tex]

Y= 572.6

Answer:

Since in an orchestra each player plays parallely, i.e. everyone plays the same line simultaneously, hence the length of the play never depends on the number of players playing it. Hence, time taken by 60 players = time taken by 120 players = 40 minutes. So 60 person will play the 9th harmony in same 40 minutes.

Step-by-step explanation:

Answer:  Median = 3

Explanation:

Sort the numbers to get {1,2,3,5,6}. The middle most number is 3, so that's the median.

Answer:

11 2/3%

Step-by-step explanation:

Change in Amount  =335,000 – 300,000

Percent Increase

Original Amount

300,000

35,000

2

=0.11666=11.666%=11-%

300,000

3

(https://imgur.com/a/U6c1pes) - For more clear explanation.

Answer:

7x - 8

Step-by-step explanation:

Hope this helps!

Answer:

63.44degrees

Step-by-step explanation:

Given that;

tan(A-45) = 1/3

A-45 = arctan(1/3)

A - 45 = 18.44

A = 18.44+45

A = 63.44degrees

Hence the value of A is 63.44degrees

Answer:

f(-1) = 5

Step-by-step explanation:

To "evaluate the function f(x) = -x^2 + 6 at x = -1, we substitute -1 for x in each instance:

f(-1) = -(-1)^2 + 6

According to order of operations rules, exponentiation must be performed before multiplication or division.  '-(-1)^2' thus becomes -1, and so

f(-1) = -(-1)^2 + 6 = -1 + 6 = 5.

Thus, f(-1) = 5

Answer:

question please so I can help you

Answer:

Width = 17 feet, Length = 22 feet

Step-by-step explanation:

Let the width, w, be x

Therefore, length, L = x + 5

Perimeter = 78

p = 2(L+b)

78 = 2(x + x+5)

Adding the variables,

78 = 2( 2x + 5)

Dividing both sides by two,

39 = 2x + 5

Subtracting two from both sides,

34 = 2x

Dividing by two on both sides,

17 = x

Therefore, the width = x = 17 feet, and the length = x + 5 = 17 + 5 = 22 feet.

Hope you understood

Please mark as the brainliest

Thank You

depends on what u believe in if u think he existed then yes if you dont then no

Answer:

[tex] - 3r - 9 = 1r + 2 \\ - 3r - r = 11 \\ - 4r = 11 \\ r = - \frac{11}{4} [/tex]

Answer:

i have adhd too lol, i think its they're both equal ?

Step-by-step explanation:

no idea lol but have a good day

Answer:

yes

Step-by-step explanation:

that's that's I think

Answer:

The base reduces at 3.75cm/min

Step-by-step explanation:

Given

Let

[tex]h \to altitude[/tex]

[tex]b \to base[/tex]

[tex]A \to Area[/tex]

So:

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]

[tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]

The area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

Calculate b when [tex]A =88cm^2; h =8cm[/tex]

[tex]A = \frac{1}{2}bh[/tex]

[tex]88=\frac{1}{2} * b * 8[/tex]

[tex]88 =b * 4[/tex]

Solve for b

[tex]b = 88/4[/tex]

[tex]b = 22[/tex]

We have:

[tex]A = \frac{1}{2}bh[/tex]

Differentiate with respect to time

[tex]\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})[/tex]

Substitute the following values in the above equation

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]        [tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]      [tex]b = 22[/tex]     [tex]h = 8[/tex]

[tex]1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)[/tex]

Multiply both sides by 2

[tex]3 = 8 * \frac{db}{dt} + 22 * 1.5[/tex]

[tex]3 = 8 * \frac{db}{dt} + 33[/tex]

Collect like terms

[tex]8 * \frac{db}{dt} = 3 -33[/tex]

[tex]8 * \frac{db}{dt} = -30[/tex]

Divide both sides by 8

[tex]\frac{db}{dt} = -\frac{30}{8}[/tex]

[tex]\frac{db}{dt} = -3.75[/tex]

Answer:

Your answer would be B

Step-by-step explanation:

So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.

So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))

And we know the y intercept is -8 (since the line pass through (-8,0))

so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.

The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2

Your welcome and hoped this helped!

Answer:

10 bars ; width 10

Step-by-step explanation:

Reordering the data given :

2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98

To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;

Range = 98 - 2 = 96

By extending the width slightly on either side, we have 0, 100.

If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;

Now our range = 100 - 0 = 100

Width = 10

Number of bars = range / bar width

= 100 / 10

= 10 bars

Answer:

Its H

There should be one dot on 4, 2 dots on 2, 3 dots on 1, 3 dots on 0,  1 dot on 7, 1 dot on 3

Step-by-step explanation:

brainly plz!

Answer:

We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm

Step-by-step explanation:

Sample Information:

Results:

41.8

40.9

42.1

41.2

40.5

41.1

42.6

40.6

From the table we get:

sample mean :  x  =  41.35

sample standard deviation    s = 0.698

Hypothesis Test:

Null Hypothesis                    H₀                x = 41

Alternative Hypothesis        Hₐ                x > 41

The test is a one-tail test

If significance level is  0.01 and n = 8  we need to use t-student distribution

From t-table  α = 0.01  and degree of freedom  df = n - 1  df = 8 - 1

df = 7    t(c) = 2.998

To calculate t(s)  =  (  x  -  41 ) / s/√n

t(s)  =  (  41.35  -  41 ) / 0.698/√8

t(s)  = 0.35 * 2.83/ 0.698

t(s) = 1.419

Comparing   t(s)  and t(c)

t(s) < t(c)

t(s) is in the acceptance region we accept H₀

Given:

The stem and leaf plot of a data set is given.

Legend:1|0 represents 10.

To find:

The original data set for the given stem and leaf plot.

Solution:

It is given that 1|0 represents 10 in the given stem and leaf plot. Using this, the original data set from the given stem and leaf plot is:

10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

These values are in ascending order.

Therefore, the original set of data is 10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

Answer:

The answer:

y=(x+2)²+7

Choose (B)

Answer: B

Step-by-step explanation:

Answer:

-5ºC < 5ºC is an inequality that compares temperatures.

B is the correct answer for the multiple choice question.

Answer:

x = 8

Step-by-step explanation:

The side-splitter theorem states that when a line that is parallel to the third side of a triangle intersects the other two sides of the triangle, it divides the two sides proportionally.

Applying this theorem, we have the following equation:

x/52 = 2/13

Cross multiply

x*13 = 2*52

13x = 104

13x/13 = 104/13

x = 8

Answer:

97 years

Step-by-step explanation:

20,000 - 15,862 = 4,138

[tex]\frac{y}{15,862}: \frac{1.3}{100}[/tex]

y × 100 = 15,862 × 1.3

100y = 20620.6

100y ÷ 100 = 20620.6 ÷ 100

y = 206.206

20,000 ÷ 206.206 = 96.9903882525

96.9903882525 rounds to 97