0.5-3(0.5+1) with a power of 2

To find the percent of change, subtract to find the amount of change

387 - 207 = 180. The increase is 207.

Then divide the amount of change by the original amount

207 ÷ 180 = 1.15

Change the decimal to a percent, and multiply the number by 100:

1.15 X 100 = 115

The answer is 115%

The total change in the tram's elevation is 567 meters.

The total change in the tram's elevation can be found by multiplying the upward speed by the time it was moving. In this case, the tram moved upward at a speed of 9 meters per second for 63 seconds. So, the total change in elevation would be 9 meters per second multiplied by 63 seconds, which equals 567 meters.

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AB = 10 → C and BC = 10 → A

to calculate the lengths use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, -  4) and (x₂, y₂ ) = (5, 2 )

AB = √(5 + 3 )² + (2 + 4 )² = √(64 + 36 ) = √100 = 10 → C

with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (11, - 6 )

BC = √(11 - 5 )² + (- 6 - 2 )² = √(36 + 64 ) = √100 = 10 → A

Distance formula: d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

AB:

1- Substitute A (-3, -4) for (x₁, y₁) and B (5, 2) for (x₂, y₂)

2- Plug them in the formula:  AB = √ (5 - (-3))² + (2 - (-4))²

3- Solve:

√ (5 + 3)² + (2 + 4)² =

√ 8² + 6² =

√ 64 + 36 =

√ 100 =

10

AB = 10

What is AB?

C. 10

BC:

1- Substitute B (5, 2) for (x₁, y₁) and C (11, -6) for (x₂, y₂)

2- Plug them in the formula:  BC = √ (11 - 5)² + (-6 - 2)²

3- Solve:

√ 6² + (-8)² =

√ 36 + 64 =

√ 100 =

10

What is BC?

A. 10

f(x) = y

f(5) = -3 therefore the point is (5, -3).

Answer:

5.2

Step-by-step explanation:

Distance between numbers would mean subtraction.

6.4 subtracted by 1.2 would come to 5.2.

Hope this helped!

Answer:

Option C. (4, -1, 3)

Step-by-step explanation:

The given system of equations is

x + y + z = 6 -----(1)

x - y + z = 8 ------(2)

x + y - z = 0 -----(3)

We subtract equation 1 by 3

(x + y + z) - (x + y - z) = 6 - 0

z + z = 6

2z = 6

z = 3

Now we subtract equation 1 by 2

(x + y + z) - (x - y + z) = 6 - 8

2y = -2

y = -1

Now we put the values of x and y in equation 1

x + (-1) + 3 = 6

x + 2 = 6

x = 6 - 2 = 4

Therefore, the solution of the equations is (4, -1, 3).

Option C is the answer.

The probability of drawing a single card from a standard 52-card deck is calculated using the formula 'Desired outcomes/Total outcomes'. For a specific card, the probability is 1/52. For a face card, it's 12/52 or simplified to 3/13.

In the context of your question about drawing a single card from a standard 52 card deck, it's important to first understand the composition of the deck. A standard deck comprises of 52 cards; four suits of 13 cards each. The suits are clubs, diamonds, hearts, and spades, with clubs and spades being black, while diamonds and hearts are red.

To calculate the probability of drawing a specific card, we need to use the formula for probability, which is Desired outcomes/Total outcomes. In your case, drawing a specified single card from a 52-card deck, there is only one desired outcome and the total number of outcomes is 52. Hence, the probability would be 1/52.

If you are looking for the probability of drawing, say a face card (jack, queen, king), remember the deck has 12 face cards. Hence, the probability becomes 12/52 = 3/13.

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So if I had this problem I would multiply 21 x 34= 714 then I would divide it by 14 which would get me 51. There would be 51 blocks in each group!

Shaun would have 51 groups of blocks if he separated them into groups of 14. We found this by calculating the total number of blocks Shaun originally had (714) and dividing by the new group size (14).

The problem is about finding the total number of blocks Shaun has. We first multiply the number of groups Shaun can make (34) by the size of each group (21), which gives us 714 blocks. Then, we find out how many groups he'd have if he separated the blocks into groups of 14 instead, by dividing the total number of blocks (714) by the new group size (14). So, Shaun would have 51 groups of blocks if he divided them into groups of 14.

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answer: the first graph

explanation:

it would not be the second one because it is a slope (y = mx + b) and so would be the third choice.

i don't think it would be the last one because it's going only up to 40. which the equation say only y = 1/x and it's not a big number equation.

hope this helps! ❤  from peachimin

i attached this image which is sorta similar to the the to this equation:

Answer:

Step-by-step explanation:

The first term must have one number before decimal point

the second term (factor) must be 10 having some power.

example;

5.0 ×10³

7.002×10^41

To maintain the ratio of 3:2 for yellow to blue paint, if Jack uses 18 pints of yellow paint, he needs to use 12 pints of blue paint.

In this problem, Jack is using a ratio of 3 pints of yellow paint for every 2 pints of blue paint. This ratio simplifies to 3:2. If he uses 18 pints of yellow paint, we can set up a simple proportion to find out how much blue paint he should use.

Yellow : Blue = 3 : 2 = 18 : x. To solve for x, we cross-multiply: 3*x = 2*18. Which leads us to 3x = 36, and dividing both sides by 3 gives x = 12. Therefore, Jack should use 12 pints of blue paint.

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To determine when a sunflower reaches a height of 3 meters, given it grows at a rate of 30 cm per week, we divide 300 cm by 30 cm per week to find that the sunflower will reach the height in the 10th week.

The question asks us to determine in which week a sunflower, which can grow 30 cm each week, reaches a height of 3 meters.

Calculation of Weeks Required for Sunflower to Reach 3 Meters:

Firstly, we need to convert the final desired height from meters to centimeters, since the growth rate is given in centimeters per week:

3 meters = 300 centimeters

Next, we divide the final desired height by the weekly growth rate to find the number of weeks:

300 cm / 30 cm/week = 10 weeks

Therefore, the sunflower reaches a height of 3 meters in the 10th week.

Answer:

Lan need to save more than 5 weeks to earn at least $85.00

Step-by-step explanation:

Given :Lan has $25.00 in his piggy bank,and can save $12.00 from his allowance each week.

To Find : How many weeks will Ian need to save to earn at least $85.00

Solution :

Lan has $25.00 in his piggy bank

He can save per week = $12

Let x be the number of weeks

So, he can save in x weeks = 12x

So,. total saving in x weeks = 25+12x

Now we are given that Ian needs to save at least $85.00

So, Equation becomes : [tex]25+12x>85[/tex]

So,  [tex]25+12x>85[/tex]

[tex]12x>60[/tex]

[tex]x>5[/tex]

Hence Ian need to save more than 5 weeks to earn at least $85.00 .

Answer:

Missing same value is 0.02

Step-by-step explanation:

Instead of multiplying big decimal numbers we put short cut by making 0.98 as a difference of near integer and one decimal.

i.e 0.98 =1-0.02

Since 0.02 is the same for other also other term

0.73 = 0.75-0.02

Now product can be done very easily.

Steps are shown below:

0.98x0.73

= (1-0.02) (0.75-0.02)

= 0.75 -0.02(1+0.75)+0.0004

= 0.7504-(0.035)

= 0.7154

=0.44

3/(3 - 12i)

To simplify this, multiply both sides by (3 + 12i)

(3 - 12i)(3 + 12i)

Distributive property.

3(3 + 12i) - 12i(3 + 12i)

9 + 36i - 36i - 144i^2

Simplify.

9 - 144i^2

i^2 can be interpreted as -1.

9 + 144

Combine like terms.

153 is the simplified version of the bottom half of the expression.

Now for the top half.

3(3 + 12i)

Distributive property.

9 + 36i

We can simplify this further by factoring.

3(3 + 12i)/153

1 + 4i/17

1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)

Let me know if you have any other questions.

To write the expression in standard form, divide 3 by the quantity 3 - 12i and rationalize the denominator by multiplying by the conjugate of the denominator to simplify to (3 + 12i)/51.

To write the expression in standard form, ​​3 divided by (3 - 12i), you need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part. The conjugate of 3 - 12i is 3 + 12i.

Therefore, multiplying by the conjugate gives you: (3/(3 - 12i)) x ((3 + 12i)/(3 + 12i)).

This simplifies to the standard form: (3(3 + 12i))/(3^2 - (12i)^2) = (3(3 + 12i))/(9 + 144) = (3 + 12i)/51.

There were 6 flowers in each bunch

138÷23=6

Answer:  Charlie's down payment to purchase home is $30,000.

Step-by-step explanation:

Given that :- Charlie purchased a home for price = $300,000

Mortage company requires a down payment of =10% of price of home

Therefore, Charlie's down payment = 10% of price for home

⇒Charlie's down payment =10% of  $300,000

⇒Charlie's down payment =0.1 × $300,000

⇒Charlie's down payment =$30,000.

Thus, Charlie's down payment to purchase home is $30,000.

Answer:

1/2

Step-by-step explanation:

The angle 5pi/3 shows up in the 3rd quadrant and is equivalent to the angle 300 degrees.  The "reference angle" of 300 degrees is 60 degrees; the reference angle in this case has the same trig function values as does 300 degrees.  Thus, the cosine of 5pi/3 is the same as the cosine of 60 degrees, which is 1/2.

Using equivalent angles, it is found that:

[tex]\cos{\left(\frac{5\pi}{3}\right)} = \frac{1}{2}[/tex]

[tex]\frac{5\pi}{3}[/tex] is an angle in the fourth quadrant, as [tex]\frac{2\pi}{3} \leq \frac{5\pi}{3} \leq 2\pi[/tex].

To find the equivalent in the first quadrant to an angle in the fourth quadrant, we subtract [tex]2\pi[/tex] from the angle, then:

[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]

Just as in the first quadrant, the cosine is positive in the fourth quadrant, thus, applying the equivalent angle:

[tex]\cos{\left(\frac{5\pi}{3}\right)} = \cos{\left(\frac{\pi}{3}\right)} = \frac{1}{2}[/tex]

A similar problem is given at https://brainly.com/question/23843479

​Question 1.) 267.935:39=

Answer 1.) 6.870 approximately​

Question 2.) 689.354:78​

Answer 2.) 8.838 approximately​

Question 3.) 96.873:56​

Answer 3.) 1.730 approximately​

Explanation : Since the numerators are expressed in thousandths, the answers must be expressed in thousandths too.​

​Hope this helps!​​​​

​[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​​

1/2 inch = 0.5 inches

The circumference of a circle is equal to: π * diameter.

0.5 * 3.14 = 1.57 inches

Answer:

24

Step-by-step explanation:

3 x 4 x 2

you can use the order of operations

PEMDAS parentheses, exponents, multiplication, division, addition, subtraction

so you would do

3 x 4 = 12

12 x 2 = 24

so the answer would be, 24

Answer:

24

Step-by-step explanation:

3 x 4 = 12

12 x 2 = 24

you can also try this method:

3 x 2 = 6

6 x 4 = 24

I will try my best to assist you with your question!

Tricky question... they want you to think that it needs to be 5/3, but it is 5/4

5/4 = 1.25

1.25 = 1 1/4

Each friend gets 1 1/4 of the 5 candy bars.

Hope I helped!

Good Luck!

1. 5.8 x [tex]10^{7}[/tex]

2. 2.5 x [tex]10^{3}[/tex]

hope that helps :)

-3.3=[tex]\frac{x}{6}[/tex]

Multiply both sides of the equation by 6 to isolate x.

-19.8=x

Your answer is -19.8.

I hope this helps :)

the answer is x=-19.8

                                      hope it helps mark me the brainlyest