Solve the inequality.

15 > -1/8x + 7

a ruler is not the best tool to use to measure the field of view on medium- and high-power lenses.

Using a ruler to measure the field of view on medium- and high-power lenses would be difficult and inaccurate. This is because the magnification of the lenses changes the field of view, so a ruler would not be able to measure the field of view accurately at different magnifications. Additionally, a ruler is too small to measure the field of view accurately since it is usually measured in degrees. Therefore, Using a ruler to measure the field of view on medium- and high-power lenses is difficult and inaccurate. This is because the magnification of the lenses changes the field of view, and a ruler is not designed to measure this change. A ruler is also too small to measure the field of view accurately since it is usually measured in degrees. Therefore, using a ruler is not the most reliable tool for measuring field of view on medium- and high-power lenses. Instead, it is better to use a protractor or other specialized tools to accurately measure the field of view. Additionally, it is important to remember that the field of view changes with magnification and should be checked at different magnifications to get the most accurate measurement.

Learn more about field here

https://brainly.com/question/12747424

#SPJ4

The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

For such more question on stock

https://brainly.com/question/29724384

#SPJ8

The exponential equation will be y = 10 (0.1)ˣ.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The table of data is given.

x         f(x)

-2        128

-1          27

0          5

1            1

2         0.1

Then the equation will be

f(x) = abˣ

At x = 1, the value of f(x) is 1.

1 = ab ...1

At x = 2, the value of f(x) is 0.1.

0.1 = ab² ...2

Then from equations 1 and 2, we have

0.1 = b

Then the value of a will be

a = 1 / 0.1

a = 10

Then the exponential equation will be

y = 10 (0.1)ˣ

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

Answer: f(x)=5(0.2)x

Step-by-step explanation:

I GOT IT RIGHT

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

Step-by-step explanation:

y+y = 7

.................

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.

Cindy is a travel agent. She receives a 9% commission based on the value of the trips she books. Today she spent eight hours arranging a $9,300 cruise for a newlywed couple

The commission that Cindy received can be determined by:

= Commission % x Price of booked trip

= 9% x 9,300

= $837

Consequently, the following is her hourly wage:

= Commission received / Hours worked

= 837 / 8

= $104.62

The bottom line is that  made $104.62 per hour plus $837 in commission.

Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.

To learn more about commission rate refer to:

https://brainly.com/question/25211236

#SPJ1

Answer:

13

Step-by-step explanation:

9/(2/3) = 27/2 = 13.5

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

For more such questions on time

https://brainly.com/question/26862717

#SPJ8

Answer:

144

Step-by-step explanation:

Length of 1 side is 12 so area is 12*12

Answer:

y=3x+6

Step-by-step explanation:

the equation of a line in

slope-intercept form

is.

xy=mx+b

Answer:

$90000

Step-by-step explanation:

From the pie chart,

Let the total annual income =  $y

The percentage of housing = 28 %

The percentage of clothing = 14 %

The combined percentage of housing and clothing = 28+14 = 42 %

If the amount spent on both housing and clothing combined = $ 37800

Therefore,

y(42/100) = 37800

Solve for y

42y = 37800×100

42y = 3780000

y = 3780000/42

y = $90000

Hence, the total annual income is $90000

The graph of function y = (1/2)ˣ is shown in figure.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ y = (1/2)ˣ

Now, We can draw the graph of exponential function y = (1/2)ˣ.

Hence, The graph of function y = (1/2)ˣ is shown in figure

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Point R has coordinates (1,3)

The length of RS is 3

The length of RT is 2

The approximate length of ST is 3.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

The differential equation; \((x^2-4)^2y'' + (x + 2)y' + 7y = 0\)

The above equation can be better expressed as:

\(y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0\)

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

\(p(x) = \dfrac{(x+2)}{(x^2-4)^2} \\)

\(p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \\)

\(p(x) = \dfrac{1}{(x+2)(x-2)^2}\)

Also;

\(q(x) = \dfrac{7}{(x^2-4)^2}\)

\(q(x) = \dfrac{7}{(x+2)^2(x-2)^2}\)

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\(\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}\)

\(\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}\)

\(\implies \dfrac{1}{16}\)

\(\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}\)

\(\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}\)

\(\implies \dfrac{7}{16}\)

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

Answer: 2 2/3+ 8

Step-by-step explanation: it goes 2 under the ten

Answer:

See provided explanation

Step-by-step explanation:

Slope=change in y/change in x

General equation for a line: y=mx+b

You know that the slope(m) is 8/3, and the y-intercept is 8. So your graph will intersect the y axis at the point (0,8). from there, use slope=rise/run to graph the remaining points. Starting at (0,8), move 8 up and 3 right, this is your next point. Do the same in the other direction, starting at (0,8) move down 8 and left 3 points. Doing this will get you the points (-3,0) and (3,16). repeat this process until you have enough points to form a line. I attatched a picture of what the graph should look like.

Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer:

x=2

Step-by-step explanation:

Add

6

and

3

.

4

x

+

9

=

17

Move all terms not containing

x

4

x

=

8

Divide each term by

4

and simplify.

x

=

2

Answer:

2

Step-by-step explanation:

4X + 6 + 3 = 17

add all the whole numbers together

6+3=9

going back to the problem, it'll look like this

4X + 9 = 17

subract 9 from itself and 17

4X + 9 = 17

     - 9    -9

------------------

4x         = 8

----           ---          divide 4 from both sides

4              4

X = 2

The description of the area of a square is (c) as the length of the side increases, the area increases.

The table of values is given as:

Side Length (cm)        Area (cm²)

1                                       1

2                                      4

3                                      9

4                                      16

5                                    25

In the above table, we can see that:

As length increases, the area also increases

Hence, the description of the area is (c) as the length of the side increases, the area increases.

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

Answer:

Option A

Step-by-step explanation:

The first thing we want to do here is to rewrite the equation given to us, in standard circle equation -

\(x^2+y^2-6x+8y+21=0,\\\left(x-3\right)^2+\left(y-\left(-4\right)\right)^2=2^2\)

The " standard form " of a circle is given to be in the following form,\((x-a)^{2} + (y-b)^{2} = r^2\) where r = radius, centered at ( a, b )

Now as you can see, the center ( given by ( a, b ) ) should be ( 3, - 4 ). Respectively the radius is 2, and therefore the circle properties are -

Center \(( 3, - 4 )\); radius \(2\)

Hope that helps!

Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.

Answer:

$2/3d

Step-by-step explanation:

since it says that if she were to buy all three beanie babies, she'd spend all of her money, this means that since she bought 1, she only used up 1/3 of her money, or $1/3d.

so, after buying the beanie baby, she has $2/3d left.

Case 1 - By vector subtraction, the equation of the vector is \(\overrightarrow {OY} = 2\cdot t - u\).

Case 2 - By proportion formula, the equation of the vector is \(\overrightarrow{OZ} = \frac{2}{3}\cdot t\).

In this problem we find two case of vectors that must be determined. The first case consists in a case of a vector subtraction, based on the following conditions:

\(\overrightarrow{OU} = t\), \(\overrightarrow{OU} = u\), \(\overrightarrow{UY} = 2\cdot \overrightarrow{YT}\)

\(\overrightarrow{OY} = \overrightarrow{OT} + \overrightarrow{YT}\)

\(\overrightarrow {OY} = \overrightarrow{OU} + \overrightarrow{UY}\)

First, eliminate UY:

\(\overrightarrow{OY} = \overrightarrow{OU} + 2\cdot \overrightarrow{YT}\)

\(\overrightarrow{OY} = u + 2\cdot \overrightarrow{YT}\)

\(\overrightarrow{OY} = \overrightarrow{OT} + \overrightarrow{YT}\)

\(\overrightarrow {OY} = t + \overrightarrow {YT}\)

Second, eliminate OY and clear YT:

\(u + 2 \cdot \overrightarrow{YT} = t + \overrightarrow{YT}\)

\(\overrightarrow{YT} = t - u\)

Third, determine the vector OY:

\(\overrightarrow {OY} = t + \overrightarrow {YT}\)

\(\overrightarrow {OY} = 2\cdot t - u\)

The second case required the determination of a vector parallel to vector OU (vector ZY). Two vectors are parallel when both have the same direction.

First, determine the expression for vector UY:

\(\overrightarrow{UY} = 2\cdot (t - u)\)

Second, determine the expression for vector UT:

\(\overrightarrow {UT} = 2 \cdot (t - u) + (t - u)\)

\(\overrightarrow {UT} = 3\cdot (t - u)\)

Third, derive the expression of vector ZY by proportion formula:

ZY / OU = YT / UT

ZY = OU · (YT / UT)

ZY = ||u|| · [||t - u|| / (3 · ||t - u||)]

ZY = ||u|| / 3

\(\overrightarrow {ZY} = \frac{1}{3}\cdot u\)

Fourth, derive the expression of vector OZ by proportion formula:

ZT / OT = ZY / OU

ZT = OT · (ZY / OU)

ZT = ||t|| · (||(1 / 3) · u|| / ||u||)

ZT = (1 / 3) · ||t||

OZ = OT - ZT

OZ = ||t|| - (1 / 3) · ||t||

OZ = (2 / 3) · ||t||

\(\overrightarrow{OZ} = \frac{2}{3}\cdot t\)

To learn more on vectors: https://brainly.com/question/4579006

#SPJ1

Its a binomial

\(\\ \sf\longmapsto x^2-6x+5=0\)

If zeros be alpha and beta

\(\\ \sf\longmapsto \alpha+\beta=\dfrac{-b}{a}\)

\(\\ \sf\longmapsto \alpha+\beta=\dfrac{-(-6)}{1}\)

\(\\ \sf\longmapsto \alpha+\beta=6\)

the sum of the factors of the trinomial \(x^2-6x+5\) is -6

Given :

A trinomial \(x^2-6x+5\)

The given trinomial is in the form of \(ax^2+bx+c\)

Compare the given trinomial with standard form and write the value of a,b,c

a=1, b=-6 and c=5

Sum of the factors of the trinomial is \(\frac{b}{a} =-\frac{-6}{1} =-6\)

So, the sum of the factors of the trinomial is -6

Learn more : brainly.com/question/19800260

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

More can be learned about similar triangles at brainly.com/question/11920446

#SPJ1

a) Probability that the number of college students who say they use credit cards because of the rewards program is​ exactly​ two is;

P(X = 2) = 0.1419

b) Probability that the number of college students who say they use credit cards because of the rewards program is​ more than two is;

P(X > 2) = 0.9402

c) Probability that the number of college students who say they use credit cards because of the rewards program is​ between two and five inclusive is; P(2 ≤ X ≤ 5) = 0.8054

The formula for Binomial Probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

where;

p is probability of success

n is number of trials

x = the number of expected successful outcomes

We are given;

p = 38% = 0.38

n = 10

Thus;

a) Probability that the number of college students who say they use credit cards because of the rewards program is​ exactly​ two is;

P(X = 2) = 10C2 * 0.38^(2) * (1 - 0.38)^(10 - 2)

P(X = 2) = 0.1419

b) Probability that the number of college students who say they use credit cards because of the rewards program is​ more than two is;

P(X > 2) = 1 - P(X ≤ 2)

P(X > 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]

P(X > 2) = 0.9402

c) Probability that the number of college students who say they use credit cards because of the rewards program is​ between two and five inclusive is;

P(2 ≤ X ≤ 5) =  [P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)]

P(2 ≤ X ≤ 5) = 0.8054

Read more about Binomial Probability distribution at; https://brainly.com/question/15246027

#SPJ1

Answer: 1.45

Step-by-step explanation: