What is the simplified form of 5x-9x

Answer:

d = 8.5

Step-by-step explanation:

The following data were obtained from the question:

Angle D = 100°

Opposite D = d

Opposite E = e = 6

Opposite F = f = 5

Thus, we can obtain the value of d by using the cosine rule as shown below:

d² = e² + f² – 2ef Cos D

d² = 6² + 5² – 2 × 6 × 5 × Cos 100°

d² = 36 + 25 – 60 × Cos 100°

d² = 61 – – 10.419

d² = 61 + 10.419

d² = 71.419

Take the square root of both side.

d = √71.419

d = 8.5

Therefore, the value of d is 8.5

Answer:

x = 4 or x = - [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Given

(2x - 8)(7x + 5) = 0

Equate each factor to zero and solve for x

2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4

7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

[tex]p_{hat}[/tex] ± z.[tex]\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }[/tex]

[tex]p_{hat}[/tex] is the proportion:

[tex]p_{hat}[/tex] = [tex]\frac{1455}{2957}[/tex]

[tex]p_{hat}[/tex] = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576.[tex]\sqrt{\frac{0.49(1-0.49)}{2957} }[/tex]

0.49 ± 2.576.[tex]\sqrt{\frac{0.49*0.51}{2957} }[/tex]

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a 99% confidence interval, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

Answer:

the answer is B

Step-by-step explanation:

In terms of symbols, we would write [tex]x > 0[/tex]

The natural log function, or any log function, is not defined for x = 0 or any negative x value.

Consider the form [tex]\log_b(y) = x[/tex] which is equivalent to [tex]y = b^x[/tex] and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.

Answer:

258.47

Step-by-step explanation:

v=πr²h/3

=π4.2 ×14/3

=258.615

Answer:

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Step-by-step explanation:

Given

[tex]Red = 9[/tex]

[tex]Blue = 2[/tex]

[tex]Yellow = 5[/tex]

Required

Probability of Red or Blue

First, it should be noted that the event described in the question are mutually exclusive or disjoint events;

Meaning that the probability of one have no effect the other;

Having said that; the Probability of Red ot Blue is as follows

[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]

Calculating [tex]P(Blue)[/tex]

[tex]P(Blue) = Number\ of\ blue\ crayon / total\ crayon[/tex]

[tex]P(Blue) = \frac{2}{9+ 2 + 5}[/tex]

[tex]P(Blue) = \frac{2}{16}[/tex]

Calculating [tex]P(Red)[/tex]

[tex]P(Red) = Number\ of\ red\ crayon / total\ crayon[/tex]

[tex]P(Red) = \frac{9}{9+ 2 + 5}[/tex]

[tex]P(Red) = \frac{9}{16}[/tex]

Substitute these values in the formula given above

[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]

[tex]P(Red\ or\ Blue) = \frac{9}{16} + \frac{2}{16}[/tex]

Take LCM

[tex]P(Red\ or\ Blue) = \frac{9 + 2}{16}[/tex]

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Hence, the probability of a red or blue crayon is

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Answer:

B. 33

Step-by-step explanation:

45/30 = x/22

3/2 = x/22

2x = 3 * 22

x = 3 * 11

x = 33

Answer:

B. 33

Step-by-step explanation:

39 / 26 = 1.5

45 / 30 = 1.5

22 x 1.5 = 33

Correct question :

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)

Answer:

B

Step-by-step explanation:

Answer:

28.142m

Step-by-step explanation:

area of rectangle=width x lenght

so; (rotating the formula with what is given)

area of rectangle/width=lenght

197/7=lenght

28.142m =lenght

Answer:

Length is 18 m and width is 11 m

Step-by-step explanation:

So based on the information given length is seven cm more than your width, and since we don’t know the values of these, we can plot this information into a formula that looks like this: (x+7)(x)=198, which is basically how you take the area of the plot of land.

If you multiply your values, you will get a quadratic equation that looks like this x²+7x-198. If you follow the quadratic formula to solve this equation, the positive result you will get for x is 11, this is your width. And since length exceeds by 7, you just add 7 to 11 to find the length, which ends up being 18.

to verify, you can simply multiply these two values

Answer:

B

Step-by-step explanation:

it is not a function because it fails the vertical line test,

A vertical line intersect the graph no more than once.

To find Angle A we use cosine

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is 17

The hypotenuse is 38

So we have

cos A = 17/38

A = cos-¹ 17/38

A = 63.4

To find Angle C we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 17

The hypotenuse is 38

So we have

sin C = 17/38

C = sin-¹ 17/38

C = 26.57

Hope this helps you

The volume of the oblique cylinder with the given parameters is: 2,400π

Volume of an oblique cylinder = πr²h

r is the radius, h is the height of the cylinder.

Given the following:

Volume of oblique cylinder = π(10²)(24)

Volume of oblique cylinder = 2,400π

Learn more about the volume of oblique cylinder on:

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Answer: a

Step-by-step explanation:

Answer: x = -12

Step-by-step explanation:

-1/2x=6

Divide by -1/2

x = -12

Hope it helps <3

Answer:yes

Step-by-step explanation:

Answer:

679=49

Step-by-step explanation:

3838 is the one for 928 cause 666

Step-by-step explanation:

bhdjdjsjshhdfhfbtvyvyvjdjshdjfy

Answer:

SAS

Step-by-step explanation:

Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.

Answer:

[tex]\boxed{\sf all \ real \ numbers \ greater \ than \ or \ equal \ to \ 0}[/tex]

Step-by-step explanation:

The domain of a function is all possible values for x.

[tex]\sf f(x)=\frac{2}{5} \sqrt{x}[/tex]

There are restrictions on x.

The square root of a number can be undefined if that number is less than 0.

The value of x is all real numbers greater than or equal to 0.

The domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero. Then the correct option is C.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = (2/5)√x

The value under the square root should not be negative. Then the equation is given below.

x ≥ 0

Then the domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero.

Then the correct option is C.

More about the function link is given below.

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Answer:

r = 1.59inch

the radius of the cylinder is

1.59inch

Step by step Explanation

lateral surface of a cylinder can be calculated using the below formula

Surface Area= 2 πr h

We were given area as 400inch^2 and height as 40inch then substitute we have

400 = 2 ×π × r ×40

400= 2×22/7×40

Then do the calculation, where, π

=22/7

400 = r × 251.2

Make r subject of formula we have

r = 400 / 251.2

r = 1.59inch

Therefore, the radius of the cylinder is

1.59inch

CHECK THE ATTACHMENT FOR THE FIGURE

Answer:

The correct option is;

b) Vertically stretches by a factor 2 then flip over horizontal axis

Step-by-step explanation:

In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y

Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.

Answer:

The equation is true

Step-by-step explanation:

The best way to check if this equate is true is to convert the pi in radians to degree and actually evaluate the trigonometric terms.

Mathematically we know that pi = 180 degrees

So pi/8 = 22.5

and pi/4 = 180/4 = 45

So let’s make our check.

Insert pi = 22.5 and pi = 45

So we have;

tan 22/5 = √(1-cos45)/(1+cos45)

Now let’s evaluate this using a calculator.

tan 22/5 = 0.414213562373

The term in the root; 0.171572875254

The square root of this number is 0.414213562373

This is exactly as what is obtained with the tan 22.5

So we conclude that what we have is true

Answer:

1-9, 1929

Step-by-step explanation:

You do the arithmetic and then study the us government postal codes and then you do kid behavior with my names. So, you get 1929 basically, in a nutshell, forever incessantly. thank yopu  

Answer:

The probability that a defective ball bearing was manufactured on a Friday is 0.375.

Step-by-step explanation:

The conditional probability of an events X given that another event A has already occurred is:

[tex]P(X|A)=\frac{P(A|X)P(X)}{P(A)}[/tex]

The information provided is as follows:

P (D|M) = 0.08

P (D|Tu) = 0.04

P (D|W) = 0.04

P (D|Th) = 0.04

P (D|F) = 0.12

It is provided that the Company manufactures an equal amount of ball bearings, 20% on each weekday, i.e.

P (M) = P (Tu) = P (W) = P (Th) = P (F) = 0.20

Compute the probability of manufacturing a defective ball bearing on any given day as follows:

[tex]P(D)=P(D|M)P(M)+P(D|Tu)P(Tu)+P(D|W)P(W)\\+P(D|Th)P(Th)+P(D|F)P(F)[/tex]

      [tex]=(0.08\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.12\times 0.20)\\\\=0.064[/tex]

Compute the probability that a defective ball bearing was manufactured on a Friday as follows:

[tex]P(F|D)=\frac{(D|F)P(F)}{P(D)}[/tex]

             [tex]=\frac{0.12\times 0.20}{0.064}\\\\=0.375[/tex]

Thus, the probability that a defective ball bearing was manufactured on a Friday is 0.375.

Large-size shirts should be brought more of which is more likely to be sold.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

                  Sales       Sold

Small            180          126

Medium        220          270

Large            284           315

x-large           95            135

Now,

The percentage of small size sold.

= 126/180 x 100

= 70%

The percentage of medium size sold.

= 220/270 x 100

= 81.5%

The percentage of large size sold.

= 284/315 x 100

= 90%

The percentage of x-large size sold.

= 95/135 x 100

= 70%

Thus,

Large-size shirts are sold more.

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Answer:

Step-by-step explanation:

3x + 6 < 12

     -6      -6

3x < 6

x < 2

    x < 2

  <------------o  

                  2

Answer:

Step-by-step explanation

[tex]\frac{-9}{-15}[/tex]÷ [tex]\frac{x^{-1} }{x^{5} }[/tex] ÷[tex]\frac{y^{-9} }{y^{-3} }[/tex]

[tex]\frac{3}{5}[/tex] ÷ [tex]x^{-1} -5[/tex]÷ [tex]y^{-9} -(-3)[/tex]

[tex]\frac{3}{5}[/tex] ÷ [tex]x^{-6}[/tex] ÷ [tex]y^{-9} +3[/tex]

[tex]\frac{3}{5}[/tex] ÷[tex]x^{-6}[/tex] ÷[tex]y^{-6}[/tex]

[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{1}{x^{6} }[/tex]÷[tex]\frac{1}{y^{6} }[/tex]

[tex]\frac{3}{5x^{6}y^{6} }[/tex]

Explanation:

We have the general slope intercept form y = mx+b. All we do is replace m with the given slope 1/4, and replace b with the y intercept -1.

So we have y = mx+b turn into y = (1/4)x+(-1) which simplifies to y = (1/4)x-1.

Answer:

[tex]\frac{9}{4}/\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{4}[/tex] is equilavalent to [tex]-\frac{9}{4\\}[/tex].

[tex]-\frac{2}{3}[/tex] can stay put.

The equation is division so neither answers #2 and #3 are the correct ones because when dividing fractions the second fraction has to be flipped in order to continue multiplying instead.

In addition, when two negatives are put together the answer must always be positive.  

Hence the answer is [tex]\frac{9}{4}/\frac{3}{2}[/tex].

Answer:

(x + 4)² + (y + 1)² = 4

Step-by-step explanation:

From the graph attached,

Extreme ends of the diameter of the circle,

(-4, 1) and (-4, -3)

Center of the circle = Midpoint of the diameter

Center = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

           = [tex](\frac{-4-4}{2},\frac{1-3}{2})[/tex]

           = (-4, -1)

Radius of the circle = Distance between the center and extreme end

                                = 2 units

Since standard equation of the circle is,

(x - h)² + (y - k)² = r²

where (h, k) is the center and 'r' is the radius of the circle

By substituting the values in the standard equation,

(x + 4)² + (y + 1)² = 2²

(x + 4)² + (y + 1)² = 4

Answer:

Add the equations to eliminate x.  

Step-by-step explanation:

(1)  y = 10 + x

(2) y =   3 - x

An easy way to solve this problem is to add the two equations to eliminate x.

(3) 2y = 13

From here, you can calculate y and then x.