if y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8​

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:

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:

9

Step-by-step explanation:

-15 - -14y = -9

two negatives (close together) makes a positive

-15y + 14y = -9

add like terms

-1y = -9

get y alone (divide whats in front of it) and do the same on the other side

-1y/-1 = -9/-1

if you divide two negatives it makes it positive so youll get 9

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:

A P value of 0.05 is considered as the gold standard of the significance level, but it depends on the type of study

Step-by-step explanation:

The scientists make experiments to collect relevant data and their conclusions are often based on statistical analyses of their results. In scientific method, the correct interpretation of the statistical results may be critical for obtaining conclusions. The statistical significance level or 'P value' is an index aimed at summarizing the results of a research. Karl Pearson created the term P value in 1900 and used this index in association with his chi-square test. The P-value can be defined as the probability of observing statistical results that are equal to or more extreme than the one observed when null hypothesis is correct. A P value of 0.05 is generally considered to be correct in many studies; however, this index may change according to the level of significance required for a particular case. It is also important to note the factors that may lead to errors in P value calculation (P>0.05): small sample sizes, errors in study design, errors in measurement methods, etc.

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:

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:

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

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 2x - 9}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3 {x}^{2} + 2x - 5 + ( - 4 + 7 {x}^{2} )}[/tex]

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term.

That means , the expression remains the same.

⇒[tex] \sf{3 {x}^{2} + 2x - 5 - 4 + 7 {x}^{2} }[/tex]

Collect like terms

⇒[tex] \sf{ {10x}^{2} + 2x - 5 - 4}[/tex]

Calculate

⇒[tex] \sf{10 {x}^{2} + 2x - 9}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

[tex]P=2w+2l[/tex]

Where w is the width and l is the length.

The width is 4x and the length is 5x+2.

We also know the perimeter is 184. So, substitute:

[tex]184=2(4x)+2(5x+2)[/tex]

Distribute:

[tex]184=8x+10x+4[/tex]

Combine like terms:

[tex]184=18x+4[/tex]

Subtract 4 from both sides:

[tex]180=18x[/tex]

Divide by 18:

[tex]x=10[/tex]

So, the value of x is 10

And we're done :)

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

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:

-6-4=4x-2x

10=2x

x=2÷10

x=5

There are 2 solutions with absolute value equations.

1. |2x-6| = 4x+4

Remove absolute value:

2x-6 =4x + 4

Subtract 4x from both sides:

-2x -6 = 4

Add 6 to both sides:

-2x = 10

Divide both sides by -2:

X = -5

2nd solution

Remove absolute value and add a negative sign to the right side:

2x-6 = -4x -4

Add 4x to both sides::

6x-6 =-4

Add 6 to both sides:

6x = 2

Divide both sides by 6:

X = 2/6

X = 1/3

The two answers are x = -5 and x = 1/3

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!

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]

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:

[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:

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:

48cm by 27cm

Step-by-step explanation:

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

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:

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:

18x+9=9y

Step-by-step explanation:

16x+9=9y-2x

+2x         +2x

18x+9=9y

Answer:

please see explanation below

Step-by-step explanation:

Let's solve for x.

16x+9=9y−2x

Step 1: Add 2x to both sides.

16x+9+2x=−2x+9y+2x

18x+9=9y

Step 2: Add -9 to both sides.

18x+9+−9=9y+−9

18x=9y−9

Step 3: Divide both sides by 18.

18x /18 = 9y−9 /18

x= 1 /2y+ (−1 /2)

Answer:

1/2y+(-1/2)

OR

Let's solve for y.

16x+9=9y−2x

Step 1: Flip the equation.

−2x+9y=16x+9

Step 2: Add 2x to both sides.

−2x+9y+2x=16x+9+2x

9y=18x+9

Step 3: Divide both sides by 9.

9y /9 = 18x+9 /9

y=2x+1

Answer:

y=2x+1

HOPE THIS HELPS!!!!!! :)

<3333333333

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:

c $99,400

Step-by-step explanation:

$195,00-$120,000=$75,000

$75,000+$5,000+$1,400=81,400

$81,400+$38,000-$20,000=$99,400

Ben’s net worth is $99400 which is the correct answer would be an option (C).

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

Given that Ben owns a townhome valued at $195,000,

To determine Ben’s net worth

But still owes $120,000 on the loan.

So, 19500 - 120000

⇒ 75000

He has $5,000 in savings and a balance of $1,400 on his credit cards.

So, 75000 + 5000+ 1400

⇒ 81400

There is a balance of $20,000 owed on Ben’s car which is valued at $38,000.

So, 81400 + 38000 - 20000

⇒ 99400

Thus, Ben’s net worth is $99400.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Answer:

Step-by-step explanation:

y + 2 = 5x - 15

y = 5x - 17

slope is 5

Answer:

negative

Step-by-step explanation:

positives and negatives make a negative

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

Answer:

  f^-1(-47) = -5

Step-by-step explanation:

You want to find the value of x that gives f(x) = -47.

  -47 = 8 + 11x

  -55 = 11x

  -5 = x

Then f^-1(-47) = -5.

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]