**Answer:**

[tex]k = 1[/tex]

**Step-by-step explanation:**

**Given**

[tex]3y = 5x + k[/tex]

Opposite points: [tex](1,-2)[/tex] and [tex](-2,1)[/tex]

**Required**

Find k

**First, calculate the midpoint of the opposite points.**

[tex](x,y) = 0.5(x_1 + x_2,y_1 + y_2)[/tex]

**This gives:**

[tex](x,y) = 0.5(1 -2,-2 + 1)[/tex]

[tex](x,y) = 0.5(-1,-1)[/tex]

**Open bracket**

[tex](x,y) = (-0.5,-0.5)[/tex]

**The equation **[tex]3y = 5x + k[/tex]** becomes:**

[tex]3 * -0.5 = 5 * -0.5 + k[/tex]

[tex]-1.5 = -2.5 + k[/tex]

**Solve for k**

[tex]k = 2.5-1.5[/tex]

[tex]k = 1[/tex]

) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank

**Answer:**

**big spoon**

**Step-by-step explanation:**

The** Big spoon** liquid volume is** best measured in milliliters.**

Given that;

The **objects** are,

''Bathtub, Milk carton, big spoon or small fish tank''.

We have to find the best objects **liquid volume** to **measured in milliliters.**

**How to find the appropriate unit for measurement?**

Normally we use those **measurements **which are **whole numbers** mostly and if not, then not too much long after decimal and not much big numbers.

The **volume** of **Bathtub, Milk carton, and small fish tank** is more than the** volume of big spoon. **

And, The** volume of liquid **in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison** Big spoon. **

**Volume of liquid** in a** big spoon** is measured suitably if we use milliliter. It is because the **big spoon** contains liquid with volume few milliliters or few hundred milliliters.

Hence, We use** milliliters** for measuring **liquid in big spoon.**

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What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)

**Answer:**

The answer is "**36**".

**Step-by-step explanation:**

Please find the complete question in the attached file.

A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?

Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10

Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).

HELPPPOOPOPPPP!!!! PLEASE

The answer is....................................................

Find the vertex of the parabola whose equation is y=-2x^2+8x-5. (2,27), (2,19), (2,3)

**Answer:**

Vertex of the parabola is (2,3)

**Step-by-step explanation:**

The parabola is a negative, it opens down and the maximum place it can reach is 3 (y).

Two tugboats that are 118 ft apart pull a barge, as shown. If the length of one cable is 206 and the length of

the other is 227, find the angle formed by the two cables.

**Answer:**

26.903

**Step-by-step explanation:**

a = 77 m

b = 72 m

c = Distance between the tugboats = 35 m

Lorenzo has a package that weighs 2 pounds. He wants to check The weight of the package on a scale, but he only has weights that are measured in ounces. Drag the weight into the box that will balance the scale. Each weight can be used once or not at all.

**Answer:**

32 ounces

**Step-by-step explanation:**

1 pound = 16 ounces

2 pounds = 16 x 2 = 32 ounces

30.16 = 17.56 + 5x what is x

**Answer:**

x = 2.52

**feel free to hit the crown**

**Answer:**

2.52

**Step-by-step explanation:**

30.16 - 17.56 = 12.6

12.6 / 5 = 2.52

To verify if you plug it in, 30.16 = 17.56 + 5(2.52)

**I hope it helped :)**

What's the gradient of y=3x+1

**Answer:**

3

**Step-by-step explanation:**

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shown

below).

(khan academy)

**Answer:**

The area of the factory is about 3000 m more than the area of the stadium

**Step-by-step explanation:**

The area of the factory can be said to be** 3000m²** more than the area of the stadium.

The area of the factory is given as S1

S1 = √80² + 200² * √40² + 100²

= √6400+40000 * √1600 * 10000

=√46400 * √11600

=** 23200m²**

S2 = 80² * 3.14

= 20096

The difference in areas = S1 - S2

=** 3000m²**

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please help. Will give BRAINLIEST!!!!!

**Answer:**

√13

**Step-by-step explanation:**

if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.

**Answer:**

**13**

**Step-by-step explanation:**

A farmer grows a new variety of pumpkin, hoping to have

larger pumpkins to sell. To see how large the new variety

grows, she collects some statistical data.

1. The farmer plants the seeds in late May.

2. In October, she harvests the pumpkins.

3. After harvesting, she weighs each pumpkin on a scale

and records its weight

4. The farmer places the pumpkins on tables based on

their size.

Which step describes how the data were measured?

Answer:

C

Step-by-step explanation:

**Answer:**

is C

**Step-by-step explanation:**

A pex i took the test

give brainlist if feeling nice

p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .

On what interval must x fall?

a) [−4/3, −60/47]

b) [-2, −4/3]

c) [−2, [infinity])

d) (−[infinity], −4/3)

Please Help!!

**Answer: (b)**

**Step-by-step explanation:**

Given

[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]

[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]

[tex]\left | p+q\right |=2x+4[/tex]

for two complex number, [tex]z_1,z_2[/tex]

[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]

Apply the above the property

[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]

Also, the absolute value of each complex number must be greater than or equal to zero

[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]

Taking the intersection of the above values of x, we get

[tex]x\in [-2,-\dfrac{4}{3}][/tex]

A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a

wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on

the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.

a.1 b.1.5 c.2 d.2.1

**Answer:**

The median of the distribution is (first option);

1

**Step-by-step explanation:**

The values on the given table are presented as follows;

[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

The **median value **of the distribution of X is 1

The **cumulative probability **of the distribution is:

[tex]\sum E(x) = 1[/tex]

The **median position** is calculated as:

[tex]Median = \frac{\sum E(x)}{2}[/tex]

This gives

[tex]Median = \frac{1}{2}[/tex]

Median = 0.5 th

This mean that the **median **is at the 0.5th position

The **value **of the spin at the 0.5th position is 1

Hence, the **median value **of the **distribution **of X is 1

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Rewrite the function by completing the square.

g(x)=4x^2-16x+7

g(x)=___(x+___)^2+__

**Answer:**

[tex]g(x) = 4(x - 2)^2 -9[/tex]

**Step-by-step explanation:**

**Given**

[tex]g(x) = 4x^2 - 16x + 7[/tex]

**Required**

Complete the square

**Rewrite so that **[tex]x^2[/tex]** has 1 coefficient**

[tex]g(x) = 4(x^2 - 4x) + 7[/tex]

**Take half of the coefficient of x**

[tex]\frac{4}{2} = 2[/tex]

Square the result

[tex](\frac{4}{2})^2 = 2^2[/tex]

[tex](\frac{4}{2})^2 = 4[/tex]

**Add and subtract the result in the bracket**

[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]

**Expand the bracket to remove -4**

[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]

[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]

**Expand the bracket**

[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]

**Factorize**

[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]

**Factor out x - 2**

[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]

**Express as square**

[tex]g(x) = 4(x - 2)^2 -9[/tex]

Answer each question. Explain the method you chose to solve each problem. For

example, changing the percent to a fraction, changing the percent to a decimal or

inverse (switching the percent and number).

1. How long is 50% of 75 minutes?

I

2. How long is 20% of 60 minutes?

3. How long is 75% of 60 minutes?

**Answer:**

1. 37.5 (70*0.50)

2. 12 (60*0.20)

3. 45 (60*0.75)

**Step-by-step explanation:**

m * p

(percentage in decimal form)

given sec0=29/21 and sin0>0 find csc0

csc theta = 29/30

**Step-by-step explanation:**

sec theta = hypotenuse/adjacent = 29/21

where hypotenuse = 29 and adjacent = 21

We can use these values and Pythagorean theorem to find the value of the opposite side:

(opposite)^2 = (hypotenuse)^2 - (adjacent)^2

= (29)^2 - (21)^2

= 400

or

opposite = 20

Therefore,

csc theta = hypotenuse/opposite = 29/20

PLEASE HELP

How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.

**Answer:**

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More

**Answer:**

The perimeter will be 10 times the original.

**Step-by-step explanation:**

can you help me with this please

first one is hypotenuse and second one i think it's cousin

Ahh I forgot how to do this HELP ASAP PLZZ

**Answer:**

The answer is C!

**Step-by-step explanation:**

2w^2 - 15w + 19 = 0

Quadratic Formula

Answer:

x=5.886 , x=1.614

Step-by-step explanation:

Given data

2w^2 - 15w + 19 = 0

a= 2

b= -15

c= 19

The expression for the Quadratic Formula is

x=(-b±√(b²-4ac))/(2a)

substitute

x=(-(-15)±√((-15)²-4*2*19))/(2*2)

x=(15±√225-152))/(4)

x=(15±√73))/(4)

x=(15±8.544))/(4)

x=(15+8.544))/(4) , x=(15-8.544))/(4)

x=23.544/4 , x=6.456/4

x=5.886 , x=1.614

How do I solve this problem?

D is the rate of change, and A1 means the first term, ace of one is another way of saying it. You subtract 3 every time so the first three terms are 21, 18, and 15

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

Explanation:

The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.

The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.

We can say:

second term = (first term) + (common difference)

second term = [tex]a_1 + d[/tex]

second term = 21 + (-3)

second term = 18

Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.

The arithmetic sequence would be: **21, 18, 15**, 12, 9, ...

**The first three terms are 21, 18, and 15.**

Which equation matches the graph shown ?

A. Y=8x^2 +2x -5

B. Y= 8x^2 +2x +5

C. Y=2x^2 + 8x +5

D. Y=2x^2 + 8x -5

**Answer:**

D

**Step-by-step explanation:**

Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.

help me plsssss i rlly need helppppp i'll give brainliestttt

First picture is $5(17) + $3(11) = 85+33=$118

So the answer is $118

So the answer is $118

please help this on is hard

**Answer:**

pic monga ulit ang labo kasi wh

Please help me, i am in need of a smart person to help with my homework

**Answer: The Answer is A**

**Step-by-step explanation:**

which of the following are solutions to the equation below

**Answer:**

B & F

**Step-by-step explanation:**

(±√14 - 4)/3 =>

(√14 - 4)/3 or (-√14-4)/3

Please answer, no links please.

Answer:

what you need help with? there is no picture or question

Step-by-step explanation:

**Answer:**

Solution given:

area of semi circle h=½πr²=½×π×5²=39.27in²

area of rectangle EFHI=l×b=6×3=18in²

area of rectangle CDFG=l×b=17×2=34in²

Total area: 39.27+18+34=91.27 square inches

Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C

**Answer:**

A - B - C

**Step-by-step explanation:**

I NEED THE ANSWER IN THE NEXT MINUTE

**Answer:**

BD is a diameter

**Step-by-step explanation:**

WILL GIVE BRAINLILESTIn your speech you MUST explain what happened at Pearl Harbor, the situation in Europe, and the current economic situation in America. Your speech must be at least 6 sentences long
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