The sum of two numbers is 50 and the difference is 16. what are the numbers ?

Answer:

[tex]f\left(x\right)=\cos\left(x\right)\: and\:\: g\left(x\right)=\left(2x^2-1\right)[/tex]

Step-by-step explanation:

We have, [tex]H\left(x\right)=\cos\left(2x^2-1\right)H ( x )[/tex]

                          [tex]=\cos\left(2x^2-1\right)[/tex]

And   [tex]H\left(x\right)=\left(f\:\circ\:g\right)\left(x\right)H ( x ) = \left(f\:\circ\:g\right)( x )[/tex]

        [tex]\Rightarrow \left(f\:\circ\:g\right)(x)=\cos\left(2x^2-1\right)[/tex]

Now, [tex]f\left(x\right)=\cos\left(x\right)[/tex]   and [tex]g\left(x\right)=\left(2x^2-1\right)[/tex]

Answer:

625

Step-by-step explanation:

(-5)(-5)(-5)(-5) = 625

Answer:

36

Step-by-step explanation:

Break it into parts to make it easier. The equation would become 16+12+8 which is 36

Brainliest is highly appreciated and goodluck!

Answer:

4

Step-by-step explanation:

Answer:

1,3,7,17,21,51,119,357

Step-by-step explanation:

I hope this helps, and have a nice day!

Answer:

r.s will be a rational number. Because if you multiply something with 0, the answer will always be 0. & 0 is a rational number

Step-by-step explanation:

Answer:

7x+8+8x+7+45=180

15x+15+45=180

15x+60=180

15x=120

x=8

7×8+8= 64

Answer:

0.3 or in fraction form 3/10

Step-by-step explanation:

3/4    =   3/10

2.5             1

Answer:

x = 68

Step-by-step explanation:

[tex]3x-18=186\\\\3x=186+18\\\\3x=204\\\\x= \frac{204}{3}\\\\x=68[/tex]

Answer:

Step-by-step explanation:

Help me

Answer:

y=15+x

Step-by-step explanation:

Answer: 1) on the x axis.

Step-by-step explanation:

Every coordinate ,where y is 0, lies on the x axis.

Answer:

8 cups

Step-by-step explanation

8 cups. There are 2 cups in one pint and two pints in one quart. To Get 8 cups all you do is multiple the quartz by 2 to get the amount of pints, and multiply the pints by 2 to get the number of cups. Thus the equation would be 2 * 2 = 4 and 4 * 2 = 8.

Answer:

D. 8 cups

Step-by-step explanation:

1 Quart is 4 cups therefore you multiply

4 x 2 = 8

Answer:

A sample of 11352 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For this problem, we have that:

400 cards, 120 cases were correct. So

[tex]p = \frac{120}{400} = 0.3[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 and 95% confidence

We would need a sample of size n, and n is found when [tex]M = 0.01[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 2.325\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.01\sqrt{n} = 2.325\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{2.325\sqrt{0.3*0.7}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.325\sqrt{0.3*0.7}}{0.01})^2[/tex]

[tex]n = 11351.8[/tex]

Rounding up

A sample of 11352 is needed.

Answer:

The sample is the 150 randomly selected customers.

Step-by-step explanation:

When you survey a group of people, to gauge whaever you are interested, these people are what makes your sample.

In this question:

Nick surveys 150 randomly selected customers to determine whether or not they were satisfied.

So the sample is the 150 randomly selected customers.

Answer:

its b

count them!

Answer:B

Step-by-step explanation:

I am pretty sure it is b

Answer: -8x^6

Step-by-step explanation:

-32x^8/4x^2=

-32x^6/4=

so the answer is -8x^6

Answer:

You should use Brainly so that we can help.

Step-by-step explanation:

Answer:

Do it.

Step-by-step explanation:

Answer:

Use the formula

Step-by-step explanation:

c2=a2−b2...The formula generally associated with the focus of an ellipse is c2=a2−b2 where c is the distance from the focus to center , a is the distance from the center to a vertex and b is the distance from the center to a co-vetex .

Here,

The midpoint of segment QR is M

m(-2,9) x3=-2,y3=9

Q=(-8,12)x1=-8,y1=12

R=x2,y2

we know that,

[tex]\tt{ m=\dfrac{Q+R}{2} }[/tex] ⠀

So,

x3=[tex]\tt{\dfrac{x1+x2}{2} }[/tex] ⠀

[tex]\tt{-2=\dfrac{-8+x2}{2} }[/tex] ⠀

[tex]\tt{-2×2=-8+x2 }[/tex] ⠀

[tex]\tt{x2=8-4 }[/tex] ⠀

[tex]\tt{x2=4 }[/tex] ⠀

x2=4

now we find the y coordinate y2.

y3=[tex]\tt{\dfrac{y1+y2}{2} }[/tex] ⠀

[tex]\tt{9=\dfrac{12+y2}{2} }[/tex] ⠀

[tex]\tt{9×2=12+y2 }[/tex] ⠀

[tex]\tt{y2=18-12 }[/tex] ⠀

[tex]\tt{y2=6 }[/tex] ⠀

y2=6

Now we get the two coordinate of R

so,

R=(x2,y2)=(4,6)

Answer:

Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).

Step-by-step explanation:

Distributive property:

The distributive property of multiplication is:

a*(b + c) = a*b + a*c

Precedence of operations:

First multiplication, then addition.

Multiplication of terms with the same base:

The multiplication of h*h = h², which Raul missed.

The correct simplification is given by:

[tex]-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h[/tex]

Answer:

he should have  worked out 7h(2 - h) first before adding the 3h. (first step)

2nd step he multiplied the 2 by -10h  but he also should have multiplied the -h by the -10h ( Distributive law)

Step-by-step explanation:

Got it right on edge

Answer:

=0.5(1.1) - 0.5(2x)+2.4x-2.10

=0.55-x+2.4x-2.10

=1.4x-1.55

Ans A

Answer: Between A, B, C, or D

Step-by-step explanation: Hope this helps!

Answer:

2263

Step-by-step explanation:

1 + 1 x 29 x 78

1 + 29 x 78

1 + 2262

2263

Answer:

14

Step-by-step explanation:

Two negatives equal a positive so

15+3-4

In order we solve from left to right

18-4

14

Our answer is 14!

add like terms. y's and x's go with other y's and x's