Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.

Answer: 5x + 4y ≤ 100

Step-by-step explanation:

5x + 4y ≤ 100

It has to be ≤ 100 because the dude only has $100 and can't exceed that.

Answer:

dady busin      

Step-by-step explanation:lana rhodes has a baby called pinocho

brainliest please

The horizontal asymptote for the graph at y = -7.

A horizontal asymptote exists as a horizontal line that exists not in the region of a graph of a function while directing it for x-values. “far” to the right and/or “far” to the left. The graph may cross it but ultimately, for big adequately or small.

By definition, when we say asymptote, this exists a line that the graph of a function comes but never connects. A horizontal asymptote exists the y-value on a graph which a function approaches but never connects. Horizontal asymptotes exist approached by the curve of a function as x proceeds towards infinity.

Therefore, the correct answer is option C. y = -7

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Answer:

[tex]x = 70^o[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To solve for x, we make use of:

[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle

[tex]x + 110^o = 180^o[/tex]

Collect like terms

[tex]x = 180^o-110^o[/tex]

[tex]x = 70^o[/tex]

Answer: 2 1/4

Step-by-step explanation:

Step-by-step explanation:

P(red) = 12/(12+10+5+4+29)

= 12/60

= 1/5

= 0.2

= 20%

Answer:

Step-by-step explanation:

Answer:

[tex] \cos(x) = \frac{24}{30} [/tex]

OPTION C

Answer:

The probability that less than 3 road construction projects are currently taking place in this city is 0.06197

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Poisson distribution with a mean of 6.

This means that [tex]\mu = 6[/tex]

Find the probability that less than 3 road construction projects are currently taking place in this city.

This is:

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]

[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]

[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]

The probability that less than 3 road construction projects are currently taking place in this city is 0.06197

Answer:

The sample mean of failure time was of 49 hours.

The standard deviation of the failure time was of 11.7 hours.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]\overline{x} = \frac{34+40+46+49+61+64}{6} = 49[/tex]

The sample mean of failure time was of 49 hours.

Standard deviation:

Square root of the division between the sum of the differences squared betweene each value and the mean, divided by the sample size subtracted by 1. So

[tex]s = \sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7[/tex]

The standard deviation of the failure time was of 11.7 hours.

The domain of the square root function graphed is,

⇒ x ≥ 0

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The square root function are graphed below in figure.

Now, We know that;

The set of all inputs of the function is called Domain of set.

Hence, By definition of domain of function, we get;

The domain of the square root function graphed is,

⇒ x ≥ 0

Thus, The domain of the square root function graphed is,

⇒ x ≥ 0

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Complete question is shown in figure.

Answer:

b

Step-by-step explanation:

around 500 people travel more than just 30 miles to work, sum even travel across the states

9514 1404 393

Answer:

  (c)  1/3 of 8 cups

Step-by-step explanation:

When the 8 cups of flour are divided evenly into 3 parts, each part is ...

  1/3 of 8 cups of flour

Answer:

15.2

Step-by-step explanation:

This is because 15.239 their would have to be a 5 instead of a 3 to make it 15.3 so it would have to be 15.2 hope this helps!!!

Answer:

31.8 m

Step-by-step explanation:    6   5  17  26

add up all the lengths to find the perimeter

or sum the multiplication of the common lengths

P = 6 × 4.4 m  + 2 × 2.7 m

  =  26.4 m  +  5.4 m

  =  31.8 m

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]

[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]

[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]

[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]

[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]

[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]

[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]

[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]

[tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]

۵ Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

6x²+4x

Step-by-step explanation:

The given expressions are 3x²- 4x-4 and 3x²+8x+4.

We need to add these two expressions.

3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4

= 6x²+4x

On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x

Answer:

A

Step-by-step explanation:

the way you multiply it makes all the numbers negative so it has to be A

Hope this helps! Have a wonderful day :)

Answer:

The 90th percentile of the distribution is 6.512 ml.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.

This means that [tex]\mu = 6, \sigma = 0.4[/tex]

Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.

This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then

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

[tex]1.28 = \frac{X - 6}{0.4}[/tex]

[tex]X - 6 = 1.28*0.4[/tex]

[tex]X = 6.512[/tex]

The 90th percentile of the distribution is 6.512 ml.

Answer:

2a : f(-2) = 15

2b : f(2x) = 8x² - 2x + 5

2c : f(x-1) = 2x² - 5x + 8

3a : x > 1/3

3b : x <> {2,3}

4 : 6x

Step-by-step explanation:

2a.

2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15

2b.

2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5

2c.

2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =

= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8

3a.

the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.

so, all that is left is x>1/3.

3b.

we must avoid a division by 0. everything else is well defined.

so, when is that expression x² - 5x + 6 = 0 ?

solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/2a

a = 1

b = -5

c = 6

x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2

x1 = (5+1)/2 = 6/2 = 3

x2 = (5-1)/2 = 4/2 = 2

so, these values must be avoided for x. everything else is valid.

4.

(f(x+h) - f(x))/h

for h going to 0.

f(x) = 3x² - 5

f(x+h) = 3×(x+h)² - 5

f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =

= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²

=>

(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x

Answer:

$20.85 less.

Step-by-step explanation:

City sales:

7% tax = 48.65

total bed cost = $743.65

Nearby City:

4% tax = 27.8

total bed cost = $722.8

city sale - nearby city

743.65 - 722.8

=20.85

Answer:    [tex]2\sqrt{7}[/tex]

When writing this on a keyboard, you would say 2*sqrt(7)

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

Explanation:

The formula we'll use is

A = 0.5*p*q*sin(R)

where R is the angle between sides p and q.

The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.

Plug in the given values and simplify to get the following

A = 0.5*p*q*sin(R)

A = 0.5*(x+4)*x*sin(60)

A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle

A = 0.25*(x^2+4x)*sqrt(3)

A = (0.25x^2+x)*sqrt(3)

Set this equal to the given area of A = sqrt(27) and solve for x

A = (0.25x^2+x)*sqrt(3)

(0.25x^2+x)*sqrt(3) = A

(0.25x^2+x)*sqrt(3) = sqrt(27)

(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom

0.25x^2+x = 3

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

x^2+4x = 12 .... see note2 at the very bottom

x^2+4x-12 = 0

(x+6)(x-2) = 0

x+6 = 0 or x-2 = 0

x = -6 or x = 2

A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.

Since x = 2, this means we have the following side lengths so far

Now apply the law of cosines to find the missing side.

r^2 = p^2 + q^2 - 2*p*q*cos(R)

r^2 = 6^2 + 2^2 - 2*6*2*cos(60)

r^2 = 36 + 4 - 24*1/2

r^2 = 40 - 12

r^2 = 28

r = sqrt(28)

r = sqrt(4*7)

r = 2*sqrt(7)

Side PQ is exactly 2*sqrt(7) units long

This approximates to 2*sqrt(7) = 5.2915

------------------------------------

Footnotes:

Answer:

132/100 or 1.32

Step-by-step explanation:

13/10=130/100

130/100+2/100=132/100

Answer:

132

Step-by-step explanation:

13/10+2/100=?/100

Get a common denominator of 100 for the first term

13/10  * (10/10)  +2/100=?/100

130/100 + 2/100 = ?/100

132/100   = ? /100

Answer:

a.    (x+2)(x+3)

b.   x = -2

     x = -3

Step-by-step explanation:

a.

split 5x into 2x + 3x

then, you get

x² + 2x + 3x + 6

Split into (x² + 2x) + (3x + 6)

factorize individual groups

x (x + 2) + 3 (x + 2)

combine x + 3

your final answer is

(x + 2) (x + 3)

b.

if (x + 2) (x + 3) = 0

then (x+2) = 0 and (x+3) = 0

x + 2 = 0

x = -2

x + 3 = 0

x = -3

Answer:

A)(x+2)(x+3)

B)(x + 2) (x + 3) = 0

x + 2 = 0

x = -2

x + 3 = 0

x = -3

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

Answer:

20

Step-by-step explanation:

Answer:

2) 0.0914

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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

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

A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.

This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]

95% confidence level

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

What would be the margin error for this confidence interval?

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

[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]

[tex]M = 0.0914[/tex]

Thus the margin of error is 0.0914, option 2).

Answer:

I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.

Hope I helped :)

Answer:

2

Step-by-step explanation: