How do you write 6.01 × 10^2 in standard form?

Answer:

.536 would be the correct answer. You could estimate by rounding 1.34 to 1 and 0.4 is close to .5 or 1/2.  What is 1/2 of 1 1/2 or .5.  This would lead me to place the decimal before the 5.

Step-by-step explanation:

To find the exact value of sec π/3, use a sp cial triangle with an angle

π/3 radians=60º.

Consider an equilateral triangle with each side length of 1 unit.

Recall that each angle in an equilateral triangle is 60º.

Draw the altitude of the triangle. Note that the altitude of an equilateral triangle is an angle bisector of the vertical angle and also a perpendicular bisector of its base:

Recall that the Secant Ratio in a right triangle is given as:

Substitute θ=60º, hypotenuse=1, and adjacent=1/2 into the equation:

The exact value of sec π/3 is 2.

Answer:

Brooke with 13 ft/sec

Step-by-step explanation:

Ron is (12 ft/second)

To figure out Brooke we have to divide 329 by 24 to figure out her feet per second.

329/24 = 13.7083 so already is ahead of Ron.

To figure out Jessica we must first figure out the length of a mile in feet to keep the feet per second denominator going.

1 mile= 5280 ft

so now we divide

5280/591 = 8.9340

So Jessica is not the fastest so Brooke still stands number 1.

For Tony we divide 645 by the number of seconds in one minute

there are 60 seconds in a minute so

645/60= 10.75

So the fastest is brooke.

Ron = 12 ft/sec

Brooke = 13 ft / sec

Jessica = 8 ft / sec

Tony = 10 ft/ sec

We know:

Profit = Revenue - Cost

When Revenue is equal to Cost, we have the break-even point.

Let's equate revenue and cost:

To find the value of x, we can take all terms to LHS (Left-Hand-Side) and use the quadratic formula. The process of finding x is shown below:

We can't have a negative value, so we disregard x = -2.7

What we have is

x = 9.7

So,

For 10 units (and above) sold, we will have a profit.

For 9 units (and below) sold, we will incur a loss.

Answer:

a) 1835 feet.

b) 1323 feet.

Step-by-step explanation:

Substitute each value of t into the equation to find the height at that particular time.

When t = 2, P(t) = -16(2)^2 + 1899 ⇒ P(t) = -64 + 1899 ⇒ P(t) = 1835.

When t = 6, P(t) = -16(6)^2 + 1899 ⇒ P(t) = -576 + 1899 ⇒ P(t) = 1323.

9 10 million miles or [tex]9*10^7[/tex] miles is the estimated value of an astronomical unit to the nearest ten million miles.

Given that:-

1 astronomical unit = 92,955,807 miles

We have to estimate its value to the nearest ten million miles.

We know that,

10 million miles = 10,000,000 miles

Hence,

1 mile = (10/10000000) million miles

92955807 miles = 929558070/10000000 million miles

92955807 miles = 92.955807 million miles

For 10 million miles, we can write,

92955807 miles = 9.2955807 10 million miles

We can estimate 9.2955807 10 million miles to 9 10 million miles

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The given quadratic inequation,

Subtract 3 on both sides,

Multiply both sides by -1 that results in a change of symbol of the inequality,

Use the method of completing squares,

Consider that the square of any real number is always positive, and hence greater than a negative number.

So we can observe that the result obtained above is valid for all real number values of 'x'.

Thus, the solution of the given inequality is the set of all real numbers,

Answer:

Option 2

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem.

Given the following System of equations:

You can use the Substitution method to solve it, as following:

1. Solve for "x" from the first equation:

2. Now you must substitute this equation into the second original equation:

3. Solve for "y":

4. Knowing the value of "y"; you can substitute it into this equation:

Then:

5. Evaluating, you get that the value of "x" is:

Then, the answer is:

we have that

A unit rate is a ratio between two numbers, where the second quantity is one unit

Example

5/1 m/sec is the same that 5 m/sec

that means

speed is 5 meters per one second

2 example

$6 per oz

that means -----> the cost is $6 per one ounce

The Solution:

To raise a total $600 in 10 days with an estimate of selling 15 cans of soda per day.

To find the amount you should charge for each can is:

Therefore, the correct answer is $4 for each can of soda.

Answer: x^2 + y^2 = 73

Step-by-step explanation:

H, K would be the center

R would be the radius

H, K= 0,0

(x-0)^2 + (y-0)^2= r^2

x^2 + y^2= r ^2

To Find Radius, you find distance between Origin, and Point

[tex]D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

X2, Y2= (-3, 8)

X1, Y1= (0,0)

[tex]D= \sqrt{((-3)-(0))^{2} + ((8-0))^2} \\D= \sqrt{(-3)^2 + (8)^2} \\D= \sqrt{9+ 64} \\D=\sqrt{73} \\D= 6\sqrt{2}[/tex]

R= 6[tex]\sqrt{2}[/tex]

x^2+y^2= (6[tex]\sqrt{2}[/tex])

or x^2+y^2= 73

Let’s find the equation of a circle with

radius r = 7 and center (h,k) =(6,8).

By definition, an equation of the circle with center (h,k) and radius r is

This is called the standard form for the equation of the circle. Then, in our case, replacing the data we have, we should have:

so, we can conclude that the equation of the circle with center (6,8) and radius 7 is :

Let's first identify the number of squares in each stage:

Stage 1: 7 squares.

Stage 2: 14 squares.

Stage 3: 21 squares.

If we notice the sequence, we notice that it increases by 7 per stage, therefore:

Stage N: N*S

Where S is always equal to 7.

Foe example, in the stage 4:

Stage 4: 4*7 = 28 squares.

The equation is:

7*N

With the information provided we will have that the solid is:

*A Cylinder.

60 seventh graders make up 15% of the students in the school.

The procedure to solve this problem will be to first, divide 60 by 15 to find how much people make up 1%, and then multiply that number of people by 100% to find the total of students.

Step 1. Divide 60 people by 15% to find how many people are 1% of the students:

4 students are 1% of the total students.

Step 2. Now, we multiply the number we just find in step 1 by 100% to find the total amount of students in the school:

There are 400 students in the school.

Answer: 400

Given,

The coodinates of the points are P(7,7).

The scale factor is 1/2.

The coordinates of center of dilation is (1,3).

In the operation described here, it is the vector (center of dilation→ similar point) that will get multiplied by a factor 1/2.

The vector from the centre (1,3) to point (7,7) has coordinates (7,7) - (1,3)

Now, dilated the coordinates by the scale factor of 1/2 then,

Image of the point is at,

Hence, the coordinates of the image is (4,9/2).

Answer:

Help with what? I do not see your question But it says there's something attached

Step-by-step explanation:

Answer:

.001 or 1/1000

Step-by-step explanation:

Comment

The idea behind this question is like flipping a coin and getting either heads or tails. The probability does not depend on a previous through if the coin is an honest coin.

So if you toss the coin 3 times, and you want to get all three tosses to be heads, there are 8 ways that you can throw 3 coins. Only 1 of the eight will give three heads, so the answer is 1/8.

This is the same kind of problem. He goes to work on 3 days, each day doesn't  depend on what happened on any other day.

Probability(3 days on time) = 0.1   *   0.1   * 0,1 = 0.001 or 1/1000

We know that ABC and EBF are complementary, or add up to 90°. So:

ABC + EBF = 90°
ABC = 30°
EBF = 6x°

6x° + 30° = 90°
6x° + 30 - 30 = 90 - 30
6x° = 60°
6x°/6 = 60°/6
x° = 10°

4/6 = 2/3

The probability of receiving a number greater than 3 and an even  number is 2/3.

          P(E) = (Number of positive outcomes) / (Sample space)

Here,

When a die is rolled once, the sample space is

S = {1, 2, 3, 4, 5, 6}. The total score is 6.

The events will be E ={ 4, 5, 6, 2}

if a number greater than 3 and an even number are rolled. The expected result is 4.

The likelihood of receiving a number greater than 3 and an even number is 4/6 = 2/3

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Problem:

If the cost of 15 eggs is $75, then find out the cost of 4 eggs​?

Solution:

If the cost of 15 eggs is $75, then each egg cost:

thus, 4 eggs cost :

$5 x 4 = $20

then, the correct answer is $20

In order to find the result of 2.56 + 4.83, proceed as follow:

2. 5 6

+ 4. 8 3

7. 3 9

Hence, the result id 7.39

We can use the rule of three to solve this question, first, we need to build our relation, remeber that we need to put calories on one side and ounces on the other:

Now we need to solve it for x, we can build it as a fraction

Now we can solve it for "x", let's do a cross multiplication:

Therefore

We can divide by 12

Now we can just to the calculus and we will have the value of x, if we do it we get

Therefore, there are 295 calories in 20 ounces of drink

After using the protractor we have come to find that DF is not an angle bisector of ∠HDJ. ∠JDF measures  27° and ∠FDH measures 22°.

An angle bisector is a ray, segment, or line that splits an angle into two equal-sized angles. A thing is divided into two equal parts when it is bisectored or bisectioned. In geometry, we frequently use a line or ray—known as an angle bisector—to divide a triangle and an angle.

The ray, line, or segment that divides an angle into two equal parts is known as the angle bisector in geometry. A 60-degree angle, for instance, will be split into two angles of 30 degrees each by an angle bisector. To put it another way, it separates an angle into two smaller congruent angles. An example of an angle bisector of AOB is shown below.

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The number of downloads of the standard version is 949.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two versions of a song.

S = Standard version size = 2.3 MB

H = High-quality size = 4.1 MB

Hgh quality size = 3 x Standard quality size

H = 3 x S

H = 3S ____(1)

The total size downloaded for the two versions was 3796 MB.

This can be written as:

H + S = 3796 ______(2)

From (1) and (2) we get,

3S + S = 3796

4S = 3796

S = 3796/4

S = 949

Now,

From (1),

H = 3S = 3 x 949 = 2847

The number of downloads of the standard version is 949

The number of downloads of the High-quality version is 2847

Thus,

The number of downloads of the standard version is 949.

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Here we have to find the graph for the function:

g(t) = 4 sin t + 2

Function:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

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The answer is option A 34 units.

We need to count the distance between the points and then add them to get the perimeter.

L and M are 5 units away, as well as X from J

L and X are 12 units away, as well as M from J

Now we can add the distances:

5 + 5 + 12 + 12 = 34

THen the perimeter is 34 units