MATHEMATICS MIDDLE SCHOOL

(-3 - 5i )(-3 + 5i ) = -16 34 34 - 30

Answers

Answer 1

Answer:

You can use:

$(a-b)(a+b)=a^2-b^2$

We know:

$i=√(-1)\to i^2=-1$

Calculate:

$(-3-5i)(-3+5i)=(-3)^2-(5i)^2=9-25i^2=9-25(-1)=9+25=34$

Answer 2

Answer:

Answer:

(-3 - 5i )(-3 + 5i ) = 34 , I'm pretty sure 34 is the answer.

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Mrs. Port mans kitchen table is rectangular. The table is 4 feet wide and 8 feet long. Mrs. Port man bought a tablecloth that will cover 56 square feet. Is the tablecloth large enough to cover the table? Explain.

Answers

Answer:

The answer is yes, it's large enough to cover the table.

Step-by-step explanation:

Area of the tablecloth = 56 square feet

Area of the kitchen table = 8 * 4 = 32 square feet

56 square feet > 32 square feet

The answer is yes, it's large enough to cover the table.

A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system of equations models this situation, where x is the number of nickels and y is the number of quarters.x+y=156
0.05x+0.25y=21.6
How many nickels and quarters are in the container?
A.
118 nickels and 38 quarters

B.
106 nickels and 50 quarters

C.
87 nickels and 69 quarters

D.
72 nickels and 84 quarters

Answers

x+y=156
0.05x+0.25y=21.6

-1/4*/ x+y=156
1/20x+1/4y=216/10

-1/4x-1/4y=156*-1/4=-39

1/20x+1/4y=216/10
+--------------------------
-4/20x=-17,4

x=87

x+y=156

87+y=156 y=69

this question answer is 87 nickels and 69 quarters

If the terminal ray of β lies in the fourth quadrant and sin (β) = -√3/3 determine cos(β) in simplest form.

Answers

Answer:

$cos(\beta)=(√(6))/(3)}$

Step-by-step explanation:

we know that

If the terminal ray of β lies in the fourth quadrant

then

sin (β) is negative and cos (β) is positive

Remember the trigonometric identity

$sin^2(\beta)+cos^2(\beta)=1$

we have

$sin(\beta)=-(√(3))/(3)$

substitute

$(-(√(3))/(3))^2+cos^2(\beta)=1$

$(3)/(9)+cos^2(\beta)=1$

$cos^2(\beta)=1-(3)/(9)$

$cos^2(\beta)=(6)/(9)$

apply root square both sides

$cos(\beta)=(√(6))/(3)}$

The scatter plot below shows the relationship between the percentage of American adults who smoke and years since 1945.During this time period, the percentage of adults who smoked changed each year by about

Choose 1 answer
(A) -2 percentage points
(B) -1 percentage points
(C) -1/2 percentage points
(D) -1/4 percentage points

Answers

Final answer:

Though the scatter plot isn't available, interpretation of the plot would suggest an average change in smoking rate. The optimal choice can't be stated without the graph.

Explanation:

This question is asking you to interpret the trend shown in a scatter plot, which falls under the mathematical topic of statistics. Since the question does not provide a visible scatter plot, we cannot confidently select an answer choice for a change in the smoking rate. However, if a scatter plot were available, you would analyze it to find the average rate of change from year to year. Each percentage point represents the change in the percentage of adult smokers in the United States from one year to the next.

Learn more about Statistics here:

brainly.com/question/31538429

Answer: -1/2 percentage points.

Step-by-step explanation:

Since the data shows a mostly linear trend, a line can be drawn to estimate the rate of change.

The line approximately goes through (0,40) and (10,35), so a approximation for the slope is 35-40/10-0, equaling -1/2.

How much sugar should he use ?

Answers

The answer is A. 1 1/4

You have to subtract 1 3/4 - 1/2 and get 1 1/4

Hope this helps!

Morris works in a flower shop and makes flower arrangements. She puts 10 flowers in each vase and 2/10 of the flowers are daisies. If Morita makes 4 arrangements, how many daisies does she need?

Answers

So 2/10 of the flowers in a vase are daisies. So that means 2 flowers in the vase are daisies.

Next you must find how many daisies are in 4 vases.

Their are 8 daisies in 4 vases. (Multiplication)

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