Talk about an experience outside of academia where you had to assess and make a decision that came with risk. Please limit your response to 250 words or less.

PLUG IN -1 IN THE PLACE OF X IN THE FUNCTION h AND SIMPLIFY

\(h( - 1) = 2( - 1) + 4 \\ h( - 1) = - 2 + 4 \\ h( - 1) = 2\)

ATTACHED IS THE SOLUTION

GOODLUCK!!

The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Answer: i think it's 942,480

Step-by-step explanation:

i just multiplied all of the numbers but i'm probably wrong srry

Answer:

7986m^2

Step-by-step explanation:

140-102=38

area of triangle:

(38*66)/2=1254m^2

area of rectangle:

66*102=6732m^2

total area:

1254+6732=7986m^2

Answer:

$22

Step-by-step explanation:

20 * 1.10 = 22

The probability of drawing the red 5 is an example of the event shown in option E R'. E' = 1-Pr(R)-1-Pr(E)

Probability in mathematics is the process of finding chances of an event to happen.

Given that, a deck of card have,

Red cards = 1,2,3

Blue cards =1,2,3,4,5,6

Pr(R) =  Drawing a red card = 3/9 = 1/3

Pr(B) = Drawing a blue card = 6/9 = 2/3

Pr(E) = Drawing an even card = 4/9

Pr(O) = Drawing an odd number card = 5/9

Probability of drawing the red 5 = P(red 5) = 1/9

From the options, we have :-

(A) R or O = Pr(R) + Pr(O)  = 1/3 + 1/9 = 8/9 ≠ 1/9

(B) B and O = Pr(B) × Pr(O) =  2/3 × 5/9 = 10/21 ≠ 1/9

(D) R and O = Pr(R) + Pr(O) = 1/3 × 5/9 = 5/27 ≠ 1/9

(E) R'. E' = 1-Pr(R)-1-Pr(E) = 1-1/3 =2/3- 1-4/9 =5/9

= 2/3-5/9

= 1/9

Hence, the probability of drawing the red 5 is an example of the event shown in option E R'. E' = 1-Pr(R)-1-Pr(E)

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Answer:

d = 2 and terms are 6, 8, 10 12 and 14

Step-by-step explanation:

we know

\( a_{n} = a_{1} + (n-1)d \)

here a(n) = nth term

a1 = 1st term

n = no. of term

d = common difference

putting the values we get,

178 = 6 + (87-1)d

⇒ 178 = 6 + 86d

⇒86d = 172

⇒ d = 2

So required common difference is 2.

Now the first term is 2

so second term is a2 = 6 + ((2-1)×2) = 8

third term = 6 + ((3-1)×2) = 10

fourth term = 6 + ((4-1)×2) = 12

fifth term = 6 + ((5-1)×2) = 14

To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

18

Step-by-step explanation:

\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)

Step-by-step explanation:

y-3=1/3x -4

add add four

y+1=1/3x

divide 1/3 into 1

y+3=x

Answer:

x - 3y = 3

This is the answer in standard form.

Answer:

volume: 1500 , surface area: 764

Step-by-step explanation:

formula of circle's area

\(\pi \: r {}^{2} \)

formula of cylinder's surfaces area

\(2\pi \: r {}^{2} + 2\pi \: rh\)

Answer: d

Step-by-step explanation:

Given :-

ΔBCD ≅ ΔGEF

Then :-

∠B <=> ∠G ( ∠B = ∠G )

∠C <=> ∠E ( ∠C = ∠E )

∠D <=> ∠F ( ∠ D = ∠F )

BC <=> GE ( BC = GE )

CD <=> EF ( CD = EF )

BD <=> GF ( BD = GF )

Using this let us find CD .

CD = EF

Which means :-

\( 3x + 8 = 4x + 6\)

\(8 = 4x + 6 - 3x\)

\(8 = 1x + 6\)

\(1x + 6= 8\)

\(1x = 8 - 6\)

\(1x = 2\)

\(x = 2\)

Then :-

EF =

\(EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14\)

CD =

\(CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14\)

△BCD≅△GEF

The measure of CD is 14

Given :

Two triangles are congruent

△BCD≅△GEF

When triangles are congruent then the sides are equal

\(BC=GE\\CD=EF\\DB=FG\\\)

Given that CD=3x+8 and EF=4x+6

\(CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2\)

The value of x=2

Now we find measure of CD

\(CD=3x+8\\CD=3(2)+8\\CD=14\)

The measure of CD is 14

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Answer:

The numbers:

-43    and     58

Step-by-step explanation:

a + b = 15

a = b - 101

then:

(b-101) + b = 15

2b = 15+101

2b = 116

b = 116/2

b = 58

a = b - 101

a = 58 - 101

a = -43

Check:

a + b = 15

-43 + 58 = 15

On solving the provided question, by help of the Linear Equation we got that TV = 38 units.

Any equation with a degree of 1 or above is considered linear. This shows that the exponent of the linear equation's variable is bigger than 1. A linear equation will always have a straight line as its graph.

RST and RSV, two equal right triangles, are shown in the illustration.

Notice that:

TS = VS

We know that,

TS = 6x - 3

VS = 39

6x - 3 =  39

6x = 42

\(x = \frac{42}{6}\)

x = 7

Now, you can identify in the figure that:

RV = 2x + 5

The length of segment RV may be determined by substituting the above-calculated value of "x" into the equation and evaluating:

RV = 2(7)+ 5

RV = 19 units

Now,

TV = 19 + 19

TV = 38 units

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Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

Answer:

Step-by-step explanation:

To determine the surface area of a rectangular prism, we need the dimensions of the prism. Without the dimensions, I cannot provide a specific surface area.

However, I can explain the formula to calculate the surface area of a rectangular prism. The surface area of a rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h represent the length, width, and height of the rectangular prism, respectively.

Once you have the dimensions of the prism, you can substitute them into the formula and calculate the surface area.

Answer:

snsjkfnjkfnkjsefjksenfkjsenfsj

Step-by-step explanation:

Answer:

A. 14 B.0  350 ÷25= 14

Step-by-step explanation:

Hoped I helped btw im Eve Have an amazing day and consider marking this as brainliest if you do thank you in advanced!

Liam divided his blueberries into 3 equal portions.

What are the portions?

Let's denote by x the number of equal portions that Liam divided his blueberries into. Since Norah divided her blueberries into 6 equal portions and gave away 3 of them, she gave away 3/6 = 1/2 of her blueberries.

Therefore, Liam gave away 3/4 - 1/2 = 1/4 of the total blueberries.

Since Liam gave away 1 portion of his blueberries, this means that the total number of portions of blueberries is x+1.

Therefore, the fraction of blueberries that Liam gave away is 1/(x+1), and we know that this is equal to 1/4. We can write this as an equation:

1/(x+1) = 1/4

Multiplying both sides by 4(x+1), we get:

4 = x+1

Subtracting 1 from both sides, we get:

x = 3

Therefore, Liam divided his blueberries into 3 equal portions.

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Complete question is:

• Norah divided her blueberries into 6 equal portions and gave away 3 of the portions

• Liam divided his blueberries into equal portions and gave away 1 of the portion

• Together, Norah and Liam gave away 3/4 kilogram of blueberries. tow many equal portions did Liam divide his blueberries into 3 equal portions.

Answer:

The minimum sample size required is 461.

Step-by-step explanation:

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

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

An interval estimate of the proportion p with a margin of error of 0.06. What is the minimum sample size required?

The minimum sample size required is n, which is found when M = 0.06.

We don't have an estimate for the true proportion, which means that we use \(\pi = 0.5\). So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.06 = 2.575\sqrt{\frac{0.5*0.5}{n}}\)

\(0.06\sqrt{n} = 2.575*0.5\)

\(\sqrt{n} = \frac{2.575*0.5}{0.06}\)

\((\sqrt{n})^2 = (\frac{2.575*0.5}{0.06})^2\)

\(n = 460.5\)

Rounding up

The minimum sample size required is 461.

The equation of the line containing the paints A and B is y = -1/3x + 4

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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0, 2, 3, 4, 6

my answer has to be 20 questions long

what's popping?

Answer:

Yo! I dont know the answer, I just wanted to say hi! c:

Step-by-step explanation:

c:

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

6 4/9

Step-by-step explanation:

Sorry if it’s a little messy.

Maths is hard but we can do this!

Answer:

Answer Below

Step-by-step explanation:

3/4 of 16

Depends of what you want.

You can make a pie chart. So you have 4 sections and then you shade 3. Then you have the word 4 in each sector.

Answer:

Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12

Hope that helps!

Step-by-step explanation: