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zhuklara [117]
2 years ago
8

5. Find the value that makes each statement true. 2*? = 2 -2*? = -2 2 *? = 1 -2*?=1

Mathematics
1 answer:
aleksley [76]2 years ago
8 0

Answer:

The total number of seconds in a year is 32,000,000 when rounded to the nearest million. It is 31,500,000 when rounded to the nearest hundred thousand.

Step-by-step explanation:

Which could be the total number of seconds in a year?

A.

31,092,000 seconds

B.

31,476,000 seconds

C.

31,536,000 seconds

D.

31,592,000 seconds

2. A television network counted 1,771,548 viewers watching the golf tournament on its channel. There were 5,861,014 viewers watching a football game on another channel.

Round each number to the nearest hundred thousand.

About how many viewers were watching the two events on television?

A.

7,500,000

B.

7,600,000

C.

7,700,000

D.

8,000,000

3. The longest bridge in the world is located in China. It is164,800 meters long. Another bridge in China is 69,732 meters long.

Round each length to the nearest ten thousand to find the answer.

What is the approximate difference between the lengths of the two bridges?

4. Amber is solving this problem.

252

× 605

What are the partial products Amber will need to solve the problem?

A.

1,260 and 151,200

B.

1,260 and 1,512

C.

1,260 and 15,120

D.

1,260 and 2,520 and 151,200

5. A rectangular garden with a width of 42 feet has an area of 2,814 square feet.

What is the length of the garden?

6. Which number sentences show how to solve the problem?

Sasha’s family donated 12 boxes of canned vegetables to the food pantry. There are 24 cans in each box. Three boxes are filled with canned peas; the rest are filled with canned corn. How many cans of corn did Sasha’s family donate to the food pantry?

Choose all answers that are correct.

A.

12 – 3 = 9 and 9 × 12 = 108

B.

12 – 3 = 9 and 9 × 24 = 216

C.

3 × 24 = 72 and 3 × 12 = 36 36 + 72 = 108

D.

12 × 24 = 288, 3 × 24 = 72, and 288 – 72 = 216

7. There are 15 rows of diamond rings in a case in the jewelry store. There are 24 rings in each row. Another case has 12 rows of rings with a variety of colored stones and has 18 rings in each row.

How many more diamond rings than rings with colored stones are in the jewelry store?

8. The florist has 195 carnations and 127 daisies. She uses them to make 14 bouquets. Each bouquet has the same number of flowers.

How many flowers are in each bouquet?

9. Which statements are true about the value of the digits in the number 5,555,555?

Choose all answers that are correct.

A.

The digit in the thousands place is 1/5 the value of the digit in the ten thousands place.

B.

The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C.

The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

D.

The digit in the hundreds place is 50 times the value of the digit in the tens place.

10. Carlos says there are a total of 6,000 hundreds in the number 6,000,000.

Is Carlos correct?

A.

Yes, Carlos is correct.

B.

No, Carlos is not correct. There are exactly 600 hundred thousands in 6,000,000.

C.

No, Carlos is not correct. There are exactly 600 thousands in 6,000,000.

D.

No, Carlos is not correct. There are exactly 6,000 thousands in 6,000,000.

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Verify the following identity and show steps<br><br> (Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Paul [167]

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

5 0
2 years ago
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Nady [450]

Answer:

A

Step-by-step explanation:

because the -2 is where the point is and the slope will start there so when you draw a line the line will pass by (0,-2)

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3 years ago
Which number is farthest to zero -167, -289, 67, 298
dangina [55]

Answer:

298

Step-by-step explanation:

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3 years ago
solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41​
Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method).  We will work to eliminate one of the variables.  Since the y values are smaller, let's work to get rid of those.  That means we have to have a positive and a negative of the same number so they cancel each other out.  We have a 2y and a 3y.  The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2.  BUT they have to cancel out, so one of those multipliers will have to be negative.  I made the 2 negative.  Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3.  Therefore,

y = 1

The solution set then is (2, 1)

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Step-by-step explanation:

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