aswer pls correct if wrong

Answer:

9

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) then the discriminant is

Δ = b² - 4ac

x² + 5x + 4 = 0 ← is in standard form

with a = 1, b = 5 , c = 4 , then

b² - 4ac = 5² - (4 × 1 × 4) = 25 - 16 = 9

For the spinner with 3 sectors, the total number of outcomes for 3 spins is 27.

A combination is a mathematical technique that determines the number of possible arrangements.

Let's we have to define

A, B, and C, as the regions in the spinner.

So, we spin it 3 times, and for each of these times there are 3 outcomes, so the outcomes will be of the form:

The outcome of spin 1, the outcome of spin 2, outcome of spin 3.

The total number of  different outcomes will be:

3^3 = 27

To learn more about combinations visit:

https://brainly.com/question/11732255

#SPJ1

Answer:

a) 11/100

b) 60 times

Step-by-step explanation:

a)

We want to find the probability that a 3 will be rolled.

Probability = # of favorable outcomes / total # of outcomes.

Here the number of favorable outcomes will be the number of times a 3 was rolled and the total number of outcomes will simply be the # of times that the dice was rolled which can be calculated by finding the sum of the frequencies of each number.

So # of favorable outcomes = 11 ( as the dice was rolled on a 3 11 times.)

And the total number of outcomes would be 100 ( the sum of the frequencies , 12 + 35 + 11 + 23 + 7 + 12 = 100 )

So the probability of rolling a 3 would be 11/100

b)

For this part we want to find the expected times that a 6 would be rolled if we rolled the die 500 more times.

To calculate this we simply find the probability of rolling a 6 and then multiply that by 500.

So again probability = # of favorable outcomes / total # of outcomes.

Here # of favorable outcomes is frequency of rolling a 6 which would be 12 and the total number of outcomes is 100 as we found out during the last part.

So the probability of rolling a 6 is 12/100 or 3/25

We then multiply this by 500 to find the expected number of times a 6 would be rolled if the dice was rolled 500 more times

So our answer = 3/25 × 500 = 60 times

Answer:

10.5 gallons are equal to 48000 cm3

Step-by-step explanation:

Answer:

a)   x² + 6x + 9

Step-by-step explanation:

When we square something, we multiply it by itself:

⇒ (x + 3)² = (x + 3)(x + 3)

Using the FOIL method:  (a + b)(c + d) = ac + ad + bc + bd

⇒ (x + 3)(x + 3) = x² + 3x + 3x + 9

                        = x² + 6x + 9

a.

[tex]\huge{{x}^{2} + 6x + 9}[/tex]

Step-by-step explanation:

Using Binomial Theorem:

[tex]\boxed{{(a+b)} ^n= \sum_{k=0}^{n}\binom{n}{k} a^{n-k}b^{k}}[/tex]

.

.

.

[tex](a+b) ^2 =a^{2} + 2ab +b^{2} [/tex]

The answer seems to be [tex]x^{2} + 6x + 9[/tex]...

Answer:

Point C

Step-by-step explanation:

The correct answer would be about 2.2 so C is the closest.

Answer:

A: 3;8

Step-by-step explanation:

12/2 = 6

32/2 = 16

6/2 = 3

16/2 = 8

3:8

Answer: Solve for Y

y = -16x - 38

And then y intercept is

(0, -38)

Step-by-step explanation:

Answer:

[tex]-\frac{8}{4}[/tex]

Step-by-step explanation:

To find slope from 2 points: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-2-6}{2-(-2)} =-\frac{8}{4}[/tex]

Answer:

[tex]m = \boxed 7[/tex]

Combine like terms

[tex]21=33\cdot \mathrm{m}-21-27\cdot \mathrm{m}[/tex]

Group like terms

[tex]21=\left(33\cdot \mathrm{m}-27\cdot \mathrm{m}\right)-21[/tex]

Simplify the arithmetic

[tex]21=6\cdot \mathrm{m}-21[/tex]

Swap sides

[tex]6\mathrm{m}-21=21[/tex]

When a circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base, a pair of intersecting lines is formed.

The right circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base.

This means the intersecting line forms a right angle with the base of the right circular cone.

Therefore, what is produced from this interaction is a pair of intersecting lines. The intersecting lines also have a point.

learn more on intersection here: https://brainly.com/question/11297403

#SPJ1

Answer:

$5

Step-by-step explanation:

$5 appeared more in the prices

Answer:

5 dollars

Step-by-step explanation:

cuz I just know

Answer:

There are 525 chairs in the hall.

Step-by-step explanation:

35 x 15 = 525

An example to learn this:

35 is the amount of all the chairs in ONE row, when you times 35 by 15, it is DUPLICATING those chairs by 15, equaling to an equal 35 chairs in EACH row! hope this helped.

[tex]~~~~~~150\times x\% = 35\\\\\implies 150 \times \dfrac{x}{100} = 35\\\\\implies \dfrac{3x}{2}=35\\\\\implies 3x = 35\cdot 2\\\\\implies 3x = 70\\\\\implies x = \dfrac{70}{3}\\\\\implies x =23.\overline{3}\\\\\text{So, 35 is}~ 23.\overline{3}\%~ \text{of} ~150.[/tex]

The standard deviation of the population dataset is 9.35

The dataset is given as:

18, 14, 35, 34, 11, 26

Start by calculating the mean using:

Mean = Sum/Count

This gives:

[tex]\bar x = (18+ 14+ 35+ 34+ 11+ 26)/6[/tex]

Evaluate

[tex]\bar x = 23[/tex]

The standard deviation is then calculated using:

[tex]\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n}}[/tex]

This gives

[tex]\sigma = \sqrt{\frac{(18 - 23)^2 + (14- 23)^2 + (35- 23)^2 + (34- 23)^2 + (11- 23)^2 + (26- 23)^2}{6}}[/tex]

Evaluate

[tex]\sigma = \sqrt{\frac{524}{6}}[/tex]

This gives

[tex]\sigma = 9.35[/tex]

Hence, the standard deviation of the population is 9.35

Read more about standard deviation at:

https://brainly.com/question/15858152

#SPJ1

Answer:

544

Step-by-step explanation:

EASY JUST MULTIPLY!!!

multiply your total of ways to fill the position, by how many members!

so...   272 x 2 = 544    hopes this helps!!

The required value of the x in the expression of angle is 19.

An expression of angle is given as 7x + 2 = 135°, the value of the x is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
7x + 2 = 135
Simplifying,
7x = 135 - 2
7x = 133
x = 133 / 7
x = 19

Thus, the required value of the x in the expression of angle is 19.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

income tax=13% of total salary

Step-by-step explanation:

Here,

let salary be 'x'

Now,

13%of x = $10 000

13/100 × x = $10 000

13x = 1000000

x=10 00000/13

Therefore x =76,923.0769

His salary that year was 76,923.0769

Answer:

C) Yes, because 1 and 5 are congruent

Step-by-step explanation:

Same-side congruent angles prove this to be true

Answer:

The answer is C

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: a = \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {3}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 13.26 \: \: ft {}^{2} [/tex]

Answer: 28.26

Step-by-step explanation:

D = 6

R = 3

3.14 x 3 x 3 = 28.26

Answer:

9

Step-by-step explanation:

8 3/4 to the nearest whole number is 9

Answer:  480 and 253.2

Step-by-step explanation:

For the first one we want to do (12 x 5 / 2) x 16 which equals 480.

For the next question, the answer is 253.2 because 2πrh is the formula of lateral area. If we just plug in the numbers it's (2 x 3.14 x 4.8 x 8.4) = 253.2cm

Based on the relationship between the ratings and cost, the association is a positive correlation. The data point that affects the appropriateness of using linear regression is $4,200 and 15 rating.

A car that is cost effective and rated highly is the data point (3,500,100).

In general, the cost of cars shown is higher when the customer reviews are high as well. This shows a positive correlation between cost and customer ratings.

The car at (4,200, 15) is an outlier because it is expensive and yet has low ratings. It would therefore affect a linear regression model if one is used to fit the data shown.

The car at (3,500, 100) is cost-effective and rated high because it is not as expensive as a lot of other cars, and yet has the highest customer rating of 100.

Find out more on positive correlations at https://brainly.com/question/17104826.

#SPJ1

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (0, - 7 )

m = [tex]\frac{-7-5}{0-4}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3

rise over run

you can also use the y2-y1/x2-x1 but these numbers where small enough where graphing can help visually

Answer:

D

Step-by-step explanation:

Circumference = pi × diameter

The probability of rolling the die once to get a four is 1/6

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Hope this helped

Answer:

[tex]\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} = \boxed{ \frac{1}{4} }[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Special Limit Rule [L’Hopital’s Rule]:
[tex]\displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)}[/tex]

Differentiation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:

Derivative Rule [Chain Rule]:
[tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify given limit.

[tex]\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3}[/tex]

Step 2: Find Limit

Let's start out by directly evaluating the limit:

When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:

∴ we have evaluated the given limit.

___

Learn more about limits: https://brainly.com/question/27807253

Learn more about Calculus: https://brainly.com/question/27805589

___

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Without using l'Hopitâl's rule, we can instead rationalize the numerator.

[tex]\dfrac{\sqrt{x+1} - 2}{x-3} = \dfrac{\left(\sqrt{x+1}-2\right)\left(\sqrt{x+1}+2\right)}{(x-3)\left(\sqrt{x+1}+2\right)} = \dfrac{(x+1)-4}{(x-3)\left(\sqrt{x+1}+2\right)} = \dfrac1{\sqrt{x+1}+2}[/tex]

We've removed the discontinuity at [tex]x=3[/tex], so the limand is continuous and

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1}-2}{x-3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \frac1{\sqrt{3+1}+2} = \boxed{\frac14}[/tex]

Step-by-step explanation:

[tex] = ( - 3c + 6) + ( - c + 8)[/tex]

[tex] = - 3c + 6 - c + 8[/tex]

[tex] = - 3c - c + 6 + 8[/tex]

= -4c + 14

hence -4c + 14 is the answer ...

hope it helped !!

Answer:

66$

Step-by-step explanation:

1/3 of 99 is 33

so 99 - 33 = 66

Answer:

25/6

Step-by-step explanation:

a²=6 -> a=✓6 (a must be positive so reject negative solutions)

ab=5 -> b = 5/✓6

thus area of C is b² = 25/6