I can identify and use inverses to solve equations with one variable

Answer:

X/8=1

X-4=4

×+2=10

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Let the time Ajay and Bala took to meet be t, speed of Ajay be a and speed of Bala be b

Until they met, the distance they made:

Now, the rest of the distance took Ajay 16 min and Bala 9 min.  

We can compare the distances as:

From the first equation we have:

From the second equation we have:

Comparing:

The meting time is:

Answer:

15/41

There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total

Answer:

1304

Step-by-step explanation:

Answer:

70÷2=35

Step-by-step explanation:

Answer:

If you divide 70 by 35 you get 2 so that means that 2 is a factor of 70

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

substitute x by the value in the function, here its f(2) so

3(2)^2 - 6(2)+2

= 12 - 14 = 2

Answer:

B

Step-by-step explanation:

120/60=2

2 hours

The time required in minutes to set the sterilizer is 120. The correct option is B.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.

The time in minutes will be calculated as:-

Time = 2 hours

Time = 2 x 60 minutes

Time = 120 minutes

Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.

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Answer:

0.4% people

Step-by-step explanation:

Convert fraction (ratio) 24 / 6,000 Answer: 0.4%

Answer:

0.4%

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

To get the volume multiply the length, width, and Height

12x4x2=96

Answer:

19/21=0.9

I hope this is good enough:

Answer:  Choice C

[tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]

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Explanation:

Let's look at the function y = sec(x) first, which is the secant function.

Recall that secant is 1 over cosine, so sec(x) = 1/cos(x)

We can't divide by zero, so cos(x) = 0 can't be allowed. If x = pi/2, then cos(pi/2) = 0 will happen. So we must exclude pi/2 from the domain of sec(x).

If we look at the interval from 0 to pi, then the domain of sec(x) is [tex]0 \le x < \frac{\pi}{2} \ \ \text{ and } \ \ \frac{\pi}{2} < x \le \pi[/tex]

we can condense that into the interval notation [tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]

Note the use of curved parenthesis to exclude the endpoint; while the square bracket includes the endpoint.

So effectively we just poked at hole at x = pi/2 to kick that out of the domain. I'm only focusing on the interval from 0 to pi so that secant is one to one on this interval. That way we can apply the inverse. When we apply the inverse, the domain and range swap places. So the range of arcsecant, or [tex]\sec^{-1}(x)[/tex] is going to also be [tex]\left[0 , \frac{\pi}{2}\right) \ \ \text{ and } \ \ \left(\frac{\pi}{2}, \pi\right][/tex]

Answer:  [tex]b^2[/tex]

You can write this as b^2

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Work Shown:

[tex]c = \frac{(ab^5)^{1/2}}{(ab)^{1/2}}\\\\c = \left(\frac{ab^5}{ab}\right)^{1/2}\\\\c = \left(b^4\right)^{1/2}\\\\c = b^{4*1/2}\\\\c = b^{2}\\\\[/tex]

Answer:

D

Step-by-step explanation:

Subtract 60 from 80 to get 20, and divide 20 by 80 to get 1/4, which can be converted to 25%.

Answer:

i think its D but im not exactly sure

Given:

Required quantity of peaches = 4.5 pounds

Cost of peach = $1.60 per pound.

To find:

The total cost of required peaches.

Solution:

We know that,

Total cost = Number of units × Cost per unit

Now,

[tex]\text{Total cost of peaches}=\text{Number of peaches}\times \text{Cost per peach}[/tex]

[tex]\text{Total cost of peaches}=4.5\times 1.60[/tex]

[tex]\text{Total cost of peaches}=7.20[/tex]

Therefore, the total cost of peaches is $7.20.

Answer:

what are we suppost to answer??

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

4/20 = x/100

100*4 =400

400/20 = 20

so

4/20 = 20/100

Answer:

100

Step-by-step explanation:

5% of 2000 is 100

Answer:

The 25th percentile is 248.

The 70th percentile is 700.

Step-by-step explanation:

The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.

Arrange the data set in ascending order as follows:

S = {75 , 157 , 224 , 248 , 271 , 381 , 472 , 495 , 586 , 676 , 700 , 723 , 743 , 767 , 1250}

The formula to compute the position of the pth percentile is:

[tex]p^{th} \text{Percentile}=\frac{(n+1)\cdot p}{100}[/tex]

Compute the 25th percentile as follows:

[tex]25^{th} \text{Percentile}=\frac{(15+1)\cdot 25}{100}=4^{th}obs.[/tex]

The 4th observation from the arranged data set is 248 .

Thus, the 25th percentile is 248.

Compute the 70th percentile as follows:

[tex]70^{th} \text{Percentile}=\frac{(15+1)\cdot 70}{100}\approx 11^{th}obs.[/tex]

The 11th observation from the arranged data set is 700.

Thus, the 70th percentile is 700.

Answer:

$635.25

Step-by-step explanation:

He works 35 hours a week, multiply that by $18.15 and you get $635.25.

Answer:

the right answer is 4/3

Answer:

Scale factor increase of 4/3

Step-by-step explanation:

Look at one side and see how many units it increased from the original. Like 3 to 4units.

Answer:

Step-by-step explanation:

aver speed = distance / time

                   = 600 meters

                      40 seconds

                    = 15 meters per second

The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2

The slope(m) of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

For the line that passes through the points (0, 0) and (2, 4)

x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4

Substitute x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4 into the equation [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{4-0}{2-0} \\\\m = \frac{4}{2} \\\\m = 2[/tex]

The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2

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Answer:

7,410,000

Step-by-step explanation:

Answer:

7,500,000 is the answer.

Answer:

mid point=(-1/2,-5)

Step-by-step explanation:

Answer:

-20 Feet.

The dolphin went below its initial starting point, Zero

Answer:

Step-by-step explanation:

20% of $1200 is $240

(0.2∗1200)=$240

Now subtract that number from 1200

1200−240=$960

try this example

Answer:

$22.10

Step-by-step explanation:

First you would multiply 26 by .15, which represents 15%, or 15/100. After you multiply, you will get 3.9. 3.9 represents the discount of the price. Since it is a discount, you suntract 3.9 from 26, and you get 22.1.

Answer:

cos(150)=−√32 sin(150)=12. Explanation: First of all, observe that 150=180−30 . Then, remember that we have. cos(180−x)=−cos(x)

Step-by-step explanation:

Answer:

Slope: m = 0

Equation: y = -3

Step-by-step explanation:

A line perpendicular to the y-axis always has a slope of 0. Slope is calculated by (y2-y1)/(x2-x1) or rise/run or delta y/delta x (they're all the same thing, delta means difference and is notated with a triangle). When there is no change in y (perpendicular to the y-axis), no matter what the change in x is, the slope will be 0.

Since it is given that one of the points has a y-value of -3, the equation for this line would be y = -3. The formula for a linear equation is y=mx+b. Since the slope is 0, the value of mx is 0, and therefore not needed in the equation. b represents the y-intercept and in this case would be -3.