The square of a number decreased by ten times the number is negative nine.

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

Answer:

-3

Step-by-step explanation:

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

Answer:

x - 5 < -2

Answer is there

Answer:

[tex]64(in)^{3} [/tex]

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

[tex](lenght) \times (width) \times (height)[/tex]

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

[tex]8 \times 2 \times 4[/tex]

Multiply 8 by 2.

[tex]16 \times 4[/tex]

Multiply 16 by 4.

[tex]64 {in}^{3} [/tex]

Hence, the volume of the rectangle prism is 64(in)³.

Answer:

Step-by-step explanation:

Given dimensions:

Volume of the prism is:

Answer:

0.0475

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In a large company, the proportion of employees who were promoted during the last year was 0.10.

This means that [tex]p = 0.1[/tex]

100 employees

This means that [tex]n = 100[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 100*0.1 = 10[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3[/tex]

What is the probability that at least 15 of them were promoted during the last year?

This is [tex]P(X \geq 15)[/tex], which is 1 subtracted by the pvalue of Z when X = 15. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15 - 10}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a pvalue of 0.9525

1 - 0.9525 = 0.0475.

0.0475 is the answer.

Answer:

$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?

Step-by-step explanation:

. citizen of the represented state

Answer:

$14.20

Step-by-step explanation:

$42.60 ÷ 3

$14.20

Answer:

As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

Option 1:

Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X

79 + 62H + 15H = X

Option 2:

Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X

79 + ((62 + 15) x H) = X

Answer:

1

Step-by-step explanation:

Answer:

The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.

Step-by-step explanation:

In the picture

Answer:

i2 - 9

-85

Step-by-step explanation:

Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85

Taking their product

(2i+9)(2i-9)

Expand

2i(2i)-9(2i)+9(2i)+9(-9)

=  4i²-18-+18i-81

= 4i² - 81

Since i² = -1

= 4(-1) - 81

= -4-81

= -85

Hence the product will give -85

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Answer:

x = 12 radical 2 ithink these is ansewer

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.

  there is no solution

Answer:

n = 6

m = 6√3

Step-by-step explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

Answer:

choice 1) 0, -4/5

Step-by-step explanation:

1/(t² + t) = 1/t - 5

multiply both sides of the equation by (t² + t):

1 = (t² + t)/t - 5t² - 5t

1 = t + 1 - 5t² -5t

-5t² - 4t = 0

t(-5t - 4) = 0

t = 0

-5t = 4

divide both sides by -5:

t = -4/5

Answer:

A- [tex]5.12*10^{-4}[/tex]

Step-by-step explanation:

1.6* 3.2

add the exponents so 10 to the -4

Answer:

Whats the question to this problem? Do you want to know if it's correct?

i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!

Step-by-step explanation:

Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!

Answer:

x = 2.93

Step-by-step explanation:

The sum of angles of the triangle is 180degrees, hence;

9x - 72 + 73x + 11 = 180

82x - 61 = 180

82x = 180 + 61

82x  = 241

Divide both sides by 82

82x/82 = 241/82

x = 2.93

Note that the functions might not be accurate but the same methos should be employed for any function given

9514 1404 393

Answer:

  1a. E = 5×1.59^t

  1b. 32 GWh

  1c. 1986

Step-by-step explanation:

1a. An exponential model looks like

  f(t) = a·b^t

where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.

Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...

  E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.

__

1b. For t=4, we have ...

  E = 5·1.59^4 ≈ 31.96 ≈ 32

About 32 GWh was generated in 1984.

__

1c. The value of t for a given value of E is ...

  E/5 = 1.59^t . . . . divide by 5

  log(E/5) = t·log(1.59) . . . . take logarithms

  t = log(E/5)/log(1.59) . . . . divide by the coefficient of t

For E = 80, the years after 1980 are ...

  t = log(80/5)/log(1.59) ≈ 5.98

About 80 GWh were generated in 1986.

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation: