algebra 1 question please help

Answer:

1 in 128

Step-by-step explanation:

This may be wrong but wouldn't it be however many balls? It's chose at random?

Answer:

The probability is 1/128

Step-by-step explanation:

There is only ONE ball out of 128 with the #92. The chances it will be chosen is 1 in 128.

Answer:

(x + 1)(x + 2) = 7x - 1

{1, 2, 3} and {3, 4, 5}

Step-by-step explanation:

Let the three consecutive integers be x, x + 1, and x + 2.

(x + 1)(x + 2) = 7x - 1

x² + 3x + 2 - 7x + 1 = 0

x² - 4x + 3 = 0

(x - 3)(x - 1) = 0

x - 3 = 0  or  x - 1 = 0

x = 3  or  x = 1

For x = 1,

x = 1, x + 1 = 2, x + 2 = 3

For x = 3,

x = 3, x + 1 = 4, x + 2 = 5

Answer: {1, 2, 3} and {3, 4, 5}

[tex]-2x² + x + 21[/tex]

Common factor

[tex]-2x² + x + 21[/tex]

[tex]-1(2x²-x-21)[/tex]

Use the sum-product pattern

[tex]-1(2x²-x-21)[/tex]

[tex]-1(2x² +6x-7x - 21)[/tex]

Common factor from the two pairs

[tex]-1(2x² + 6x - 7x - 21)[/tex]

[tex]-1(2x(x + 3) - 7(x+3))[/tex]

Rewrite in factored form

[tex]-1(2x(x + 3) - 7(x+3))[/tex]

[tex]-1(2x-7)(x+3)[/tex]

Answer :-[tex]{\large{ \red{{{-1(2x-7)(x+3)}}}}}[/tex]

Answer:

98 cm²

Step-by-step explanation:

The area of a circle is:

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

A semicircle is half a circle therefore the area of a semicircle would be:

[tex]A=\frac{1}{2}\pi r^2[/tex]

We can plug in the given values into the equation:

[tex]A=\frac{1}{2}*3.142*(7.9)^2\\A=\frac{1}{2}*3.142*62.41\\A=\frac{1}{2}*196.09222 \\A=98.04611[/tex]

We need to round to TWO sigfigs meaning...

[tex]A=98 \ cm^2[/tex]

Sigfig rules:

Nonzero numbers are significant

Trailing zeros are significant (only if there is a decimal point)

Any sandwiched zero is signification (Ex: 405 --> 3 sigfigs)

Answer: 28/3

Step-by-step explanation:

Triangle ACB is similar to Triangle AED because of AA.

Therefore AB/BC = AD/DE

x/7 = (x+8)/13

We can cross-multiply.

13x = 7(x+8)

We can distribute the 7.

13x = 7x + 56

6x = 56

x = 28/3

Answer:

f(4)=-4

Step-by-step explanation:

Using sampling concepts, it is found that the correct option regarding if this is a random sample is given by:

Yes, because the slips of paper were all the same shape and size.

Samples may be classified as:

In this problem, since the slips have the same shape and size, each name has an equal probability of being chosen, hence it is a random sample and the correct option is:

Yes, because the slips of paper were all the same shape and size.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

D. No, because she did not mix the pieces of paper in the hat before selecting the sample.

Step-by-step explanation:

A one-sample test for a proportion should have been performed because only one sample was used.

=========================================================

Explanation:

As the problem states at the very top, "Dan selected a random sample" which is paraphrased to "Dan selected ONE random sample". That keyword "one" means Dan should have used a one-sample test for a proportion. Not a difference in proportions test. This may seem like a trick question, but it's not.

If Dan had 2 samples, then he would go for the difference in proportions of course.

Answer:

B

Step-by-step explanation:

Because none of the other answers make sense

Answer:

Make sure that the experiment is safe to conduct.

Step-by-step explanation:

If it is noy safe do not conduct it because you could get hurt.

Hope this helps!

[tex] - 3x + 4y = 7 \\ y = 3x - 5[/tex]

[tex] - 3x + 4 \times (3x - 5) = 7[/tex]

[tex] - 3x + 12x - 20 = 7[/tex]

[tex]9x - 20 = 7[/tex]

[tex]9x = 7 + 20[/tex]

[tex]9x = 27[/tex]

[tex]x = 3[/tex]

[tex]y = 3 \times 3 - 5[/tex]

[tex]y = 9 - 5[/tex]

[tex]y = 4[/tex]

[tex](x,y)=(3,4)[/tex]

Answer:

24,000

Step-by-step explanation:

first multiply 80,000 and 30 because 15 + 15 from two years is 30.

Then you get 2400000 then divide that by 100 which gives you

24,000 as your answer.

For this equation, the bottom part of the equation cannot be zero, so the domain at the moment is:

    [tex]x > 4[/tex]

However, also on top, the numerator includes a square root which can equal zero but cannot be negative, thus the domain is

 (6, ∞)

Hope that helps!

Answer:

1/6 based on the given conditions

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

Compound interest is given by:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period

Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:

[tex]7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50[/tex]

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

Find out more on Compound interest at: https://brainly.com/question/24924853

Answer:

Choose C

Step-by-step explanation:

because one change in the X axis = 8 units up in the Y axis

Answer:

B

Step-by-step explanation:

8*5/6= 20/3 which is equal to 40/6 or forty sixths

Please mark brainlest

Answer:

128.6

Step-by-step explanation:

9/7 = 1.28571428571

1.28571428571 x 100 = 128.571428571

rounded = 128.6

look on digit to the right of tenths place (5). Its 5 or higher, its 7, so round the 5 to 6

Answer:

15% increase

Step-by-step explanation:

Subtract 407100 minus 354000

Divide that amount by the absolute value of the starting value

Multiply by 100 to get a percent increase

Answer:

B

Step-by-step explanation:

Electrons are outstide the shell and hence the nucleas have a charge of protons and neutrons. That's why they say the nucleas of an atom is positive.

Answer:

B

Step-by-step explanation:

Answer:

[tex]x=-1,\:y=-1[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}[/tex]

[tex]\mathrm{Add\:the\:equations}[/tex]

[tex]6x+4y=-10[/tex]

[tex]+[/tex]

[tex]\underline{-6x+5y=1}[/tex]

[tex]9y=-9[/tex]

[tex]\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}[/tex]

Solve 9y=-9 for y: y=-1

[tex]\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1[/tex]

Solve -6x+5(-1)=1 for x: x=-1

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-1,\:y=-1[/tex]

Answer:

∠ a = 60° , ∠ b = 120°

Step-by-step explanation:

Supplementary angles sum to 180° then

x - 40 + x + 20 = 180 , that is

2x - 20 = 180 ( add 20 to both sides )

2x = 200 ( divide both sides by 2 )

x = 100

Then

∠ a = x - 40 = 100 - 40 = 60°

∠ b = x + 20 = 100 + 20 = 120°

Answer:

x=100   a=60    b=120

Step-by-step explanation:

Supplementary angles add 180 degrees

(x-40) + (x+20) = 180

2x-20 =180

2x =100

x = 100

100-40 = 60

100+20 = 120

                60+120 +180

Answer:

-3, -6

Step-by-step explanation:

Any number of x that makes the bottom 0 makes the expression undefined.

Factor the polynomial in the denominator:

(x+3)(x+6)

Values of x that makes the expression undefined are -3 and -6

Support me by choosing my answer as the brainiest :)

Money left = money saved - cost of utilities.

Money left = 500 - 319.45

Money left = 180.55

Answer:

x = 6

HG = 9

Step-by-step explanation:

[tex] \frac{10}{25} = \frac{2x - 3}{22.5} \\ \\ 2x - 3 = \frac{22.5 \times 10}{25} = \frac{225}{25} = 9 \\ \\ 2x = 9 + 3 = 12 \\ \\ x = 6[/tex]

HG = 2x - 3 = 2(6) - 3 = 12 - 3 = 9

It looks like you're given a recursive sequence [tex]\{a_n\}[/tex] defined by

[tex]\begin{cases}a_1 = 2 \\ a_n = -3a_{n-1} + 2 & \text{for }n>1 \end{cases}[/tex]

and I assume you wish to solve it.

By definition of the n-th term [tex]a_n[/tex], we have

[tex]a_2 = -3a_1 + 2[/tex]

[tex]a_3 = -3a_2+2 = -3(-3a_1+2)+2 = (-3)^2a_1 - 3\times2 + 2[/tex]

[tex]a_4 = -3a_3+2 = -3((-3)^2a_1 - 3\times2 + 2) + 2 = (-3)^3a_1 +(-3)^2\times2-3\times2+2[/tex]

and so on.

Notice the patterns:

• the exponent of -3 in the coefficient of [tex]a_1[/tex] on the right side is always 1 less than the subscript on the left side

• the sum of terms not involving [tex]a_1[/tex] is a geometric sum of (subscript - 1) terms,

[tex]2 = 2 \times(-3)^0[/tex]

[tex]-3\times2+2 = 2 ((-3)^0 + (-3)^1)[/tex]

[tex](-3)^2\times2-3\times2+2 = 2 ((-3)^0 + (-3)^1 + (-3)^2)[/tex]

This suggests that the general n-th term is

[tex]a_n = (-3)^{n-1}a_1 + 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2})[/tex]

and with [tex]a_1=2[/tex], this becomes

[tex]a_n = 2(-3)^{n-1} + 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2})[/tex]

[tex]a_n = 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2} + (-3)^{n-1})[/tex]

or more compactly in sigma notation,

[tex]a_n = 2 \displaystyle \sum_{k=0}^{n-1} (-3)^k[/tex]

We can go on to get a closed form for [tex]a_n[/tex]. Let S denote the sum,

[tex]S = (-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2} + (-3)^{n-1}[/tex]

Multiply both sides by -3 :

[tex]-3S = (-3)^1 + (-3)^2 + (-3)^3 + \cdots + (-3)^{n-1} + (-3)^{n}[/tex]

Subtract this from S - lots of terms will cancel:

[tex]S - (-3S) = (-3)^0 - (-3)^{n}[/tex]

[tex]S + 3S = 1 - (-3)^n[/tex]

[tex]4S = 1 - (-3)^n[/tex]

[tex]S = \dfrac{1 - (-3)^n}4[/tex]

It follows that the n-th term of the sequence is explicitly given by

[tex]a_n = 2S = \boxed{\dfrac{1 - (-3)^n}2}[/tex]

Edit: Just noticed your comment. You can get the 5th term by plugging the 4th term back into the recurrence:

[tex]a_1 = 2[/tex]

[tex]a_2 = -3a_1 + 2 = -3\times2 + 2 = -4[/tex]

[tex]a_3 = -3a_2 + 2 = -3\times(-4) + 2 = 14[/tex]

[tex]a_4 = -3a_3 + 2 = -3\times14 + 2 = -40[/tex]

[tex]a_5 = -3a_4 + 2 = -3\times(-40) + 2 = \boxed{122}[/tex]

Or, using the n-th term we found above,

[tex]a_5 = \dfrac{1 - (-3)^5}2 = \dfrac{1 - (-243)}2 = \dfrac{244}2 = \boxed{122}[/tex]

Answer: C= 100+7n

Step-by-step explanation:

Answer:

1:50 P.M

Step-by-step explanation:

12:15+35 = 12:50

1 hour = 60 minutes

60 + 12:50 = 1:50

Answer:

8 ft or 4 ft

Step-by-step explanation:

I`m not sure but I think it might be 8 ft

Answer:

x = 128

Step-by-step explanation:

x*(-8) = -16.     multiply both sides by -8 to get x by itself

x = 128