simplify the equation 5x + 4 = -16

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

[tex]cos75=\frac{10}{x}[/tex]

Now isolate the variable. Multiply both sides by x:

[tex]x(cos75)=x(\frac{10}{x} )[/tex]

The x's on the right side cancel each other out. Simplify:

[tex]x*cos75=10[/tex]

Now divide both sides by cos75°:

[tex]\frac{x*cos75}{cos75} =\frac{10}{cos75}[/tex]

The cos75° on the left side cancels each other. Simplify:

[tex]x=\frac{10}{cos75}[/tex]

Insert this value into a calculator to simplify the value of x:

[tex]x=38.6[/tex]

The hypotenuse is 38.6 m.

:Done

Answer:

D) 38.6

Step-by-step explanation:

just took the test

Answer:

2

Step-by-step explanation:

Hello, let's note [tex](a_n)[/tex] this sequence and r the ratio, we can write

[tex]a_n=a_0r^n[/tex]

With [tex]a_0[/tex] different from 0 and then

[tex]a_{11}=32a_6<=>a_or^{11}=32a_0r^6<=>r^{11-6}=32=2^5<=>r^5=2^5<=>r=2[/tex]

Thanks

Step-by-step explanation:

Hey, there!!

C = {6,8}

n(C) means cardinality of set.

We define cardinality of set as the no. of elements present in set.

It contains 2 no. of elements.

so, its cardinality is n(C) is 2.

Hope it helps...

Answer:

87

Step-by-step explanation:

start with the innermost parenthesis first

{4+3*[5+3*(8)]-4}

order of operations: multiply before you add

{4+3*[5+24]-4}

{4+3*[29]-4}

order of operations: multiply before you subtract

{4+87-4}

solve left to right

{91-4}

87

Answer:

hi

Step-by-step explanation:

Answer:

42% I think

Step-by-step explanation:

The total was 380 so divide 160 by 380 (160÷380) and you get .42 or 42%

Answer:

42.1%

Step-by-step explanation:

100+120+160=380

so  160=p*380/100

p=160*100/380≈42.1

Answer:

10 inches

Step-by-step explanation:

Given:

Area of pizza = 78.5 in²

To find:

Minimum width of placement to be placed underneath the pizza so that it does not touch the table?

Solution:

We are actually required to find out the diameter of the circular pizza here.

That will be the minimum width of the placement to be placed underneath the pizza so that pizza does not touch the table.

Let us have a look at the formula of area of a circle.

[tex]A=\pi r^2[/tex]

Where [tex]r[/tex] is the radius of the circle

We are given that

[tex]A = 78.5\ in^2[/tex]

[tex]\Rightarrow 78.5 = \pi r^2\\\Rightarrow 78.5 = 3.14\times r^2\\\Rightarrow \dfrac{78.5}{3.14} = r^2\\\Rightarrow r^2=25\\\Rightarrow r =5\ in[/tex]

Now, we know that the diameter is given as twice of the radius.

So, minimum width required = Diameter = 2 [tex]\times[/tex] 5 = 10 inches

Answer:

x = 5

Step-by-step explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

AB + BC = AC

9 + 2x - 5 = x + 9

2x + 4 = x + 9

x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

Answer:

x=5

Step-by-step explanation:

AB + BC = AC

9+ 2x-5 = x+9

Combine like terms

2x+4 = x+9

Subtract x from each side

2x+4-x = x+9-x

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

Answer:

  True

Step-by-step explanation:

Subtracting a number is identical to adding its opposite.

  -2 -5 = -2 +(-5)

The statement is True.

_____

If you doubt this, you can have your calculator tell you what the answers are.

Answer:

B

Step-by-step explanation:

Answer:

26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. Prime factorization: 26 = 2 x 13.

Answer:

The Prime factorization: 26 = 2 x 13.

Explain:

26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. So the Prime factorization: 26 = 2 x 13.

Hoped I helped

Multiplying both sides by [tex]y^2[/tex] gives

[tex]xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1[/tex]

so that substituting [tex]v=y^3[/tex] and hence [tex]\frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx}[/tex] gives the linear ODE,

[tex]\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1[/tex]

Now multiply both sides by [tex]3x^2[/tex] to get

[tex]x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2[/tex]

so that the left side condenses into the derivative of a product.

[tex]\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2[/tex]

Integrate both sides, then solve for [tex]v[/tex], then for [tex]y[/tex]:

[tex]x^3v=\displaystyle\int3x^2\,\mathrm dx[/tex]

[tex]x^3v=x^3+C[/tex]

[tex]v=1+\dfrac C{x^3}[/tex]

[tex]y^3=1+\dfrac C{x^3}[/tex]

[tex]\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}[/tex]

Answer:82 Step-by-step explanation: by putting the numbers in order, 82 lands in the middle.

Answer:

y = 5

Step-by-step explanation:

14y + 36 = 106. subtract 36 from both sides, so now the equation is 14y = 70 because 36 is cancelled out. now divide both 14y and 70 by 14, which leaves you with y = 5

Answer:

48cm by 27cm

Step-by-step explanation:

[tex] \frac{48}{27} = \frac{48 \div 3}{27 \div 3} = \frac{16}{9} [/tex]

Answer:

14x + 10

Step-by-step explanation:

distribute and add

Answer:

[tex]x^2+4x -\frac{1}{2} lnx + \frac{2}{13} ln(x-2) + C[/tex]

Step-by-step explanation:

Given the integrand [tex]\int\limits{\dfrac{2x^3 - 2x + 1}{x^2-2x} } \, dx[/tex], before evaluating the integral function, we will need to simplify the function first by applying long division as shown in the attachment.

Hence the partial form of the function [tex]\dfrac{2x^3 - 2x + 1}{x^2-2x} } = 2x+4 + \frac{6x+1}{x^2-2x}[/tex]

Integrating its partial sum

[tex]\int\limits \dfrac{2x^3 - 2x + 1}{x^2-2x} }dx = \int\limits (2x+4 + \frac{6x+1}{x^2-2x})\ dx\\\\= \int\limits {2x} \, dx + \int\limits {4} \, dx + \int\limits {\frac{6x+1}{x^2-2x} \, dx\\ = \frac{2x^2}{2}+4x -\frac{1}{2} \int\limits{\frac{1}{x} } \, dx + \frac{2}{13} \int\limits{\frac{1}{x-2} } \, dx[/tex]

[tex]= \frac{2x^2}{2}+4x -\frac{1}{2} lnx + \frac{2}{13} ln(x-2) + C[/tex]

[tex]= x^2+4x -\frac{1}{2} lnx + \frac{2}{13} ln(x-2) + C[/tex]

NB: Find the partial sum calculation also in the attachment.

Answer:

cm3,m3 etc...

Step-by-step explanation:

SInce 3D objects are solids and are different than 2D measurements,we use the measurement Centimeters "Cubed".You may ask what do you multiply to get the volume of a solid?Well the way i was taught was Length * Width * Height.(Stars mean Multiplication)

e.g. Lets say you have a cube,the length is 3,width is 3,height is 4 this is how it looks like

V=L x W x H

=3 x 3 x 4

=36 cm3

That's how Volume is calculated

Answer:

100

Step-by-step explanation:

By multiplying both numbers by 100, you'd get

3403 and 830

If you'd multiply by ten, you'd get

340.3 and 83

In this case, it asks both the dividend and the divisor.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Answer:

x= -1  and also x = -2

Which agrees with the second option in your list of answers

Step-by-step explanation:

We look for two numbers whose product is "2" (constant term in your quadratic equation) and which added give "3" (coefficient in the middle term with "x"). So we find the factors 1 and 2:

1 times 2 = 2 and 1 + 2 = 3

So we use these factor to expand the middle term and then factor by grouping:

[tex]x^2+3x+2=0\\x^2+x+2x+2=0\\x(x+1)+2(x+1)=0\\(x+1)(x+2)=0[/tex]

Then for this product of binomials to give zero, each binomial must be zero. That is

x= -1  and also x = -2

Answer:

you want a specific place as an answer? or the mileage?

Answer:

Donna is correct

Step-by-step explanation:

Since every number that is a multiple of 5 is 5 times a number, it means that that number can be divided by 5 and result in the other number that produced it. Meaning there is no remainder.

Answer:

negative

Step-by-step explanation:

positives and negatives make a negative

Answer:

6

Step-by-step explanation:

 That would be:

      3                    6

     ----                -------

      2                     4

----------------  = -------------- = 6    This is the unit rate.

      1                       1

    -----                  ------

       4                      4

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The symbols of interest here are ...

  ∪ -- union. Everything that is in either of the sets.

  ∩ -- intersection. Everything that is in both of the sets.

  superscript C -- complement. Everything that is not in the set. An apostrophe (') can also be used to signify the complement.

__

(a) A∩B∩C'

In the first attachment, set A is all of the sections marked 2, 3, 5, 6. Set B is all of the sections marked 3, 4, 5, 7. The sections in both sets are where the circles for A and B overlap:

  A∩B = {3, 5}

The sections that are not in set C are 1, 2, 3, 4. So, the one section that is in A∩B, but outside C is section 3.

The checked section is shown in the second attachment.

__

(b) A'∩B∩C

In the first attachment, set A' is all of the sections marked 1, 4, 7, 8. These are all of the sections not in set A. The ones of these that are also in set B are 4 and 7. And the one of these that is also in set C is section 7.

The checked section is shown in the third attachment.

Answer:

C

Step-by-step explanation:

Recall the exponent property that:

[tex]x^{\frac{1}{n}}=\sqrt[n]{x}[/tex]

And vice versa:

[tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex]

Thus:

[tex]\sqrt[3]{500} =(500)^{\frac{1}{3}}[/tex]

The answer is C

Answer:

[tex]\Huge \boxed{500^{\frac{1}{3} }}[/tex]

Step-by-step explanation:

Applying rule : [tex]\displaystyle \sqrt[n]{x} =x^{\frac{1}{n} }[/tex]

[tex]\displaystyle \sqrt[3]{500} =500^{\frac{1}{3} }[/tex]

Answer:

the first one

Step-by-step explanation:

7 - (-5) - 1 = 7 + 5 - 1 = 11

3 + 9 - 18 = -6

4 + (-14) - 5 = 4 - 14 - 5 = -15

8 - 12 - (-4) = 8 - 12 + 4 = 0

Answer:

Step-by-step explanation:

y + 2 = 5x - 15

y = 5x - 17

slope is 5

We are going to do a proportion with the effective number and the percentage

42% of 850 are women

42 : 100 = x : 850

x = (850 * 42)/100 = 357

The women were 357

Answer:

[tex] \frac{42}{100} \times 850 = 357womens[/tex]