**Answer:**

The value of the investment in 5 years.

**Step-by-step explanation:**

The description of the function states that it tells us the value of an investment at some point in the future (t), measured in years. In other words, f(t). When the time is 5 years, it would be written as f(5), and the t term in the function will be set to 5 for the calculation, which will yield the value of the investment at that time.

do 3 over 4 and 9 over 12 form a proportion

**Answer:**

0 over 12

**Step-by-step explanation:**

3/4 is equal to 9/12

so your basically taking 9/12 from 9/12

In the figure below, B is between A and C, and C is between B and D. If AD=13, BD=7, and BC=3, find AC.

AC =

The **length **of **segment** AC is equal to 9.

Since B is between A and C, we can use the fact that AB + BC = AC. Similarly, since C is between B and D, we can use the fact to state the **lengths **of the following **segments** that: CD + BC = BD.

Substituting the given values, we get:

AB + BC = AC

CD + BC = BD

We are given **segments** BD = 7 and BC = 3, so we can substitute these values:

CD + 3 = 7

Solving for CD, we get:

CD = 7 - 3

CD = 4

Now we can use the fact that AD = AC + CD to solve for the **length **of **segment** AC:

AD = AC + CD

13 = AC + 4

AC = 9

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There are 50 teachers in a school. 40% of them are women and the rest are men. If 70% of the women and 80% of the men are married, find the number of unmarried teachers in the school.

12 are unmarried

This is because 20 are women and 30 are men. Out of the 70% of the 20 are married which is 14. 80% of the men are married which is 24. If you subtract 14 from 20 you get 6. If you subtract 24 from 30 you get 6. Add them together and you get 12

This is because 20 are women and 30 are men. Out of the 70% of the 20 are married which is 14. 80% of the men are married which is 24. If you subtract 14 from 20 you get 6. If you subtract 24 from 30 you get 6. Add them together and you get 12

Pls answer quickly, make sure to answer all parts

Find the area of the region bounded by the line y =3x -6 and line y=-2x+8 and

a) the x-axis. b) the y-axis. c) the line y=6. d) the line x=5.

The **area **of the region between line y =3x -6 and line y=-2x+8 and

the x-axis with the help of **integration **will be** 2.88 sq units.**

What exactly is **integration**?

The process of computing an **integral **is known as integration. Mathematicians utilise integrals to compute a variety of useful quantities such as **areas**, **volumes**, **displacement**, and so on. When we talk about integrals, we usually imply definite integrals. Antiderivatives are represented by indefinite integrals. Integration, along with differentiation, is one of the two major calculus concepts in mathematics (which measure the rate of change of any function with respect to its variables).

**Integral Fundamental**

A definite integral is one that has both upper and lower bounds. For X to lie, only a true line may be utilised. The Definite Integral is also known as a Riemann Integral.

From a to b, use** ∫f(x)dx**

**indefinite integral**

Integrals are defined without upper and lower limits. It looks like this:

A indefinite Integral is written as:

**∫f(x)dx = F(x) + C**

Where C might be any constant and the function f(x) is referred to as the **integrand**.

Now,

As given in image

**Area **of the region will be =**∫3x-6 dx** from x=2 to 2.8** +∫-2x+8 **from x=2.8 to 4.

=(3x²/2-6x) from x=2 to 2.8 + (-2x²/2+8x) from x=2.8 to 4.

=3*0.8*0.8/2-6*0.8-2*1.2*1.2+8*1.2

=2.88 sq units.

Hence,

The **area **of the region between line y =3x -6 and line y=-2x+8 and the x-axis with the help of **integration **will be** 2.88 sq units.**

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Can someone help me find the point of intersection for:

2500(1. 25)^t=6000(0. 3)^t

algebraically? thank you.

The** point of intersectio**n can be found by setting the **equations **equal, dividing by the same quantity, taking the natural log, and dividing by ln(1.25).

[tex]2500(1.25^t) = 6000(0.3^t)[/tex]

[tex]2500*1.25^t = 6000*0.3^t[/tex]

Divide both sides by 2500:

[tex]1.25^t = 0.3^t * (6000/2500)[/tex]

Divide both sides by[tex]0.3^t[/tex]:

[tex]1.25^t / 0.3^t = (6000/2500) / 0.3^t[/tex]

Take the **natural log **of both sides:

[tex]t*ln(1.25) = ln((6000/2500) / 0.3^t)[/tex]

Divide both sides by ln(1.25):

[tex]t = ln((6000/2500) / 0.3^t) / ln(1.25)[/tex]

The **point of intersection** is t = ln((6000/2500) / [tex]0.3^t[/tex]) / ln(1.25).

The point of intersection of two **exponential functions **can be found algebraically by setting the two equations equal to each other and solving for the variable t. For example, if we want to find the point of intersection of [tex]2500(1.25^t) = 6000(0.3^t)[/tex], we can start by setting the two equations equal to each other and dividing both sides by [tex]2500: 1.25^t = 0.3^t * (6000/2500)[/tex]. Then we can divide both sides by[tex]0.3^t: 1.25^t / 0.3^t = (6000/2500) / 0.3^t[/tex]. We then take the natural log of both sides: [tex]t*ln(1.25) = ln((6000/2500) / 0.3^t)[/tex]. Finally, we divide both sides by ln(1.25): [tex]t = ln((6000/2500) / 0.3^t) / ln(1.25)[/tex]. This means that the point of intersection is[tex]t = ln((6000/2500) / 0.3^t) / ln(1.25).[/tex] In conclusion, the point of intersection of two exponential functions can be found algebraically by setting the two equations equal to each other, dividing both sides by the **same quantity, **taking the natural log of both sides, and then dividing both sides by ln(1.25).

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The sum of two numbers is 22. Two less than three times the smaller number is equal to the larger number x. Find the larger number.

y=6, x=16

you create a system with the two variables and manipulate an equation so that you can substitute in the other to make it a single-variable equation. you then solve for that variable by isolating it and you can solve for the second variable afterwards. hope this helps!

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

The owner of two hotels is ordering towels. He bought 6 hand towels and 27 bath towels for his hotel in Campbell, spending a total of $255. He also ordered 50 hand towels and 27 bath towels for his hotel in Lowell, spending $343. How much does each towel cost?

A hand towel costs $ ----------, and a bath towel costs $ --------.

Answer:

A handtowel costs $2.00 and a bathtowel is $9.00

Step-by-step explanation:

Let h equal the cost of a handtowel. And let b equal the cost of a bathtowel.

In Campbell, they spent:

255 = 6h + 27b

In Lowell, they spent:

343 = 50h + 27b

Solve the system.

see image.

18.85% of the pupils in Form 2 study craft, 72% study music and 60% study both subjects. What percentage study neither craft nor music?

**Answer:**

**Step-by-step explanation:**

Sorry cant help 18.85%

which equations for the measures of the unknown angles x and y are correct? check all that apply.(a) x=cos−1(a/c)x=cos−1(a/c)(b) x=sin−1(c/b)x=sin−1(c/b)(c) x=tan−1(c/a)x=tan−1(c/a)(d) y=sin−1(a/c)y=sin−1(a/c)(e)y=cos−1(c/b)y=cos−1(c/b)

The **equations** for the measures of the unknown angles x and y that are correct are (b), (c) and (e).

The six **trigonometric** ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Sin θ = Opposite Side to θ/Hypotenuse

Cos θ = Adjacent Side to θ/Hypotenuse

Tan θ = Opposite Side/Adjacent Side

Cot θ = Adjacent Side/Opposite Side

Sec θ = Hypotenuse/Adjacent Side

Cosec θ = Hypotenuse/Opposite Side

where, Hypotenuse (the longest side), Perpendicular (opposite side to the angle), Base (Adjacent side to the angle)

The** inverse ratios** start with the ratio and then find the angle that produces this ratio.

(a) x=cos−1(a/c)

(b) x=sin−1(c/b)

(c) x=tan−1(c/a)

(d) y=sin−1(a/c)

(e)y=cos−1(c/b)

The **equations** for the measures of the unknown angles x and y that are correct are (b), (c) and (e).

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find the missing length

The value of the **missing side** of the given **triangle** would be = **12**

To calculate the **value** of the missing **length** the **Pythagorean formula** can be used such as;

**c² = a² + b²**

where;

C =?

a = 11

b = 5

C² = 11²+5²

= 121 + 25

= 146

C =√ 146

C = 12

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What is the complete square corresponding to x2 – 6x? A. (x – 1.5)2 B. (x – 3)2 C. (x – 4.5)2 D. (x – 9)

**Answer:**

So the answer is C. (x - 3)^2.

**Step-by-step explanation:**

The complete square corresponding to x^2 - 6x is (x - 3)^2.

A complete square is a trinomial that can be written in the form (x - a)^2, where a is a constant. To find the complete square of x^2 - 6x, we need to rewrite x^2 - 6x into the form (x - a)^2. We do this by adding and subtracting a constant term to make the trinomial a perfect square.

x^2 - 6x + 9 = (x - 3)^2

So the answer is C. (x - 3)^2.

Determine the value of the missing angle using the inverse trig function.

**Answer:**

x = 59.036°

**Step-by-step explanation:**

tan (BÂC) = BC/AB

tan= opposite/ adjacent

Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB

tan(x)=5/3

x= tan^-1 (5/3)

x= 59.036°

Transcribed image text: Question 4 A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks on the lotis 11 to 33. If there are currently 51 trucks for sale, how many cars does the dealer have for sale! 34 68 136 272 thierronse

If** the ratio** of cars to trucks on the lot is 11 to 33 and there are currently 51 trucks **for sale**, then there are 17 cars for sale

The ratio of cars to truck on the lot = 11 : 33

**Total number of trucks** for sale = 51 truck

Consider the number of cars for sale = x

Then the ratios will be

11/33 = x / 51

**Cross multiply **the terms in the equation

33x = 51 × 11

33x = 561

Move 33 to the right hand side of the equation

x = 561 / 33

**Divide** the terms

x = 17

Therefore, the number of cars does the dealer have for sale is 17

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QUESTION FOR FOR LIH04

Graph editor. The graph editor is a powerful tool for visualizing and manipulating the f-curves of each object in a scene, allowing for precise control over the motion and timing of animation.

Which ordered pair is a solution of the inequality y≤1/3x−6

The **ordered** **pair **of the **inequality **will be (9,-3).

The **inequality **expressions are the **mathematical **equations related by each other by using the **signs **of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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“Log 2x = -1 Solve each equation. Check Answers”

Please help me logs are confusing

To solve this equation, we need to use the inverse of the logarithm function. The inverse of the logarithm function is the exponential function.

Therefore, we can rewrite the equation as: 2x = 10^(-1)

Now, we can solve for x by dividing both sides by 2:

x = 10^(-1) / 2

x = 0.5

To check our answer, we can plug it back into the original equation and see if it is true:

Log2(0.5) = -1

Since this is true, our answer is correct.

Hope this helps:)

Therefore, we can rewrite the equation as: 2x = 10^(-1)

Now, we can solve for x by dividing both sides by 2:

x = 10^(-1) / 2

x = 0.5

To check our answer, we can plug it back into the original equation and see if it is true:

Log2(0.5) = -1

Since this is true, our answer is correct.

Hope this helps:)

Convert 1000000 seconds to hrs, min and seconds

The **value **of the **conversion **is;

16, 666. 67 minutes

277.78 hours

What is conversion of units?**Conversion of units **is described as the conversion between different units of measurement for the same quantity, using the multiplicative factor.

From the information given, we have;

10⁶ seconds

But, we have to take note of;

60 seconds = 1 min

Then 10⁶ seconds = x min

cross multiply

x = 16, 666. 67 minutes

Also,

60 minutes = 1 hour

Then 16, 666. 67 minutes = x

cross multiply

x = 277.78 hours

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8. the weights of cows offered at an auction in one region are normally distributed with a mean of 825.0 pounds and a standard deviation of 74.8 pounds. one cattleman only wants to bid on cows that are in the top 5% of weight. what is the lowest weight cow that the cattleman should bid on

The cattleman should bid on cows that weigh at least 944.0 pounds, which is the **weight** corresponding to the top 5% of the normally distributed weights of cows.

To determine the lowest weight cow that the cattleman should bid on, we need to find the weight that corresponds to the top 5% of the **weight **distribution.

Using the **standard** normal distribution, we can find the z-score that corresponds to the top 5% of the distribution as follows:

z = invNorm(0.95) ≈ 1.645

where invNorm is the inverse of the **standard** normal cumulative distribution function, which can be found using a statistical calculator or a **standard normal distribution** table.

Next, we can use the z-score formula to convert the z-score to a **weight **value:

z = (x - μ) / σ

Solving for x, we get:

x = z * σ + μ

Substituting the values given in the problem, we get:

x = 1.645 * 74.8 + 825.0

x ≈ 944.0 pounds

Therefore, the cattleman should bid on cows that **weigh** at least 944.0 pounds.

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What is the definition of equivalent ratios?

Equivalent Ratios are ratios that are the same when you compare them. for example 1:2 and 2:4 are equivalent ratios

Find x

25

38

Please help me

**Answer:**

x ≈ 40.6

**Step-by-step explanation:**

using the sine ratio in the right triangle

sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × sin38° = 25 ( divide both sides by sin38° )

x = [tex]\frac{25}{sin38}[/tex] ≈ 40.6 ( to 1 decimal place )

**Answer:**

x ≈ 40.6 units

(nearest tenth / one decimal place)

**Step-by-step explanation:**

You can use the law of sines in this situation since you know it is a right triangle because of the right angle, and you have an angle and a corresponding side.

Given this information, you can use the equation:

sin A / a = Sin B / b = Sin C / c

Given: A is 38°, a is 25, C is 90°.

Find: x which is side c

sin A / a = Sin B / b = Sin C / c →

[Substitute the information given]

Sin (38°) / 25 = Sin (90°) / c →

[Use the basic identity of sin(90°)]

Sin (38°) / 25 = 1 / c →

[Use the reciprocal rule]

25 / Sin(38°) = c →

[Rotate the equation]

c = 25 / Sin(38°) →

[Solve]

c = 40.606731137068..

[Reduce to the nearest tenth

(one decimal place) and set c to x]

x ≈ 40.6

Please help I’ll give brainliest!! What ordered pairs are the solutions of the system of equations shown in the graph

below?

**Answer:**

(-1,3) and (3,-5)

**Step-by-step explanation:**

I'm assuming since it is giving no information that it wants where the two graph intersect each other.

So, by the looks of it they intersect at

(-1,3) and (3,-5)

What is another way to make 2.98?

Choose 1 answer:

B

1 one +8 tenths +18 hundredths

1 one 19 tenths 8 hundredths

1 one +10 tenths 8 hundredths

**Answer:**

Below

**Step-by-step explanation:**

1 + 19/10 + 8/100 = 1 + 1.9 + .08 = 2.98

Need help with this question urgent please

**Answer:**

**Step-by-step explanation:**

First, add 7 to all parts of the inequality to isolate x.

-10+7 < 3x-7+7 ≤ 5+7

-3 < 3x ≤ 12

Then divide all sides by 3.

-1 < x ≤ 4

So x is greater than -1 but less than or equal to 4.

This can be written as (-1, 4] in interval notation.

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle

and two congruent triangles. As a result, the altitude cuts the base into two equal

segments. The length of the altitude is 11 inches, and the length of the base is 6

inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

Since the altitude cuts the base into two equal segments, each segment has a length of 6/2 = 3 inches.

Since the triangle is isosceles, the length of each of the two equal sides can be found using the Pythagorean theorem:

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse (in this case, the length of the equal side).

We can substitute the known values:

a = 3 (half the length of the base)

b = 11 (the length of the altitude)

So:

3^2 + 11^2 = c^2

9 + 121 = c^2

130 = c^2

c = sqrt(130) = 11.4

Finally, we can find the perimeter of the triangle:

P = c + c + 6

P = 11.4 + 11.4 + 6

P = 29.8

Rounding to the nearest tenth of an inch, the perimeter of the triangle is 29.8 inches.

Since the triangle is isosceles, the length of each of the two equal sides can be found using the Pythagorean theorem:

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse (in this case, the length of the equal side).

We can substitute the known values:

a = 3 (half the length of the base)

b = 11 (the length of the altitude)

So:

3^2 + 11^2 = c^2

9 + 121 = c^2

130 = c^2

c = sqrt(130) = 11.4

Finally, we can find the perimeter of the triangle:

P = c + c + 6

P = 11.4 + 11.4 + 6

P = 29.8

Rounding to the nearest tenth of an inch, the perimeter of the triangle is 29.8 inches.

Mimi Divided a block of chese weighing 10kg into pieces weighing 5/8 kg how many pieces did she get? (Show Working)

To determine the number of pieces of cheese that Mimi got, we need to divide the total weight of the cheese (10 kg) by the weight of each piece (5/8 kg).

Let's call the number of pieces of cheese Mimi got "n". Then, we can write the following equation:

10 kg = n * (5/8 kg)

To solve for n, we need to convert both sides of the equation to the same units, such as grams. 1 kg = 1000 g, so:

10 kg * 1000 g/kg = 10,000 g

5/8 kg * 1000 g/kg = 625 g

Now, we can write the equation using the same units:

10,000 g = n * 625 g

To solve for n, we need to divide both sides of the equation by 625 g:

n = 10,000 g / 625 g = 16

So, Mimi divided the block of cheese into 16 pieces, each weighing 5/8 kg.

Let's call the number of pieces of cheese Mimi got "n". Then, we can write the following equation:

10 kg = n * (5/8 kg)

To solve for n, we need to convert both sides of the equation to the same units, such as grams. 1 kg = 1000 g, so:

10 kg * 1000 g/kg = 10,000 g

5/8 kg * 1000 g/kg = 625 g

Now, we can write the equation using the same units:

10,000 g = n * 625 g

To solve for n, we need to divide both sides of the equation by 625 g:

n = 10,000 g / 625 g = 16

So, Mimi divided the block of cheese into 16 pieces, each weighing 5/8 kg.

The length of a cell phone is 1.41.4 inches and the width is 3.83.8 inches. The company making the cell phone wants to make a new version whose length will be 0.910.91 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Let's call the width of the new phone "w". Since the lengths of the sides are proportional, we can set up a proportion to solve for the width:

1.41.4 inches / 3.83.8 inches = 0.910.91 inches / w

Cross multiplying and simplifying, we get:

w = 3.83.8 inches * 0.910.91 inches / 1.41.4 inches

w = 3.83.8 inches * 0.910.91 inches / 1.41.4 inches = 2.35 inches

So the width of the new phone will be 2.35 inches

1.41.4 inches / 3.83.8 inches = 0.910.91 inches / w

Cross multiplying and simplifying, we get:

w = 3.83.8 inches * 0.910.91 inches / 1.41.4 inches

w = 3.83.8 inches * 0.910.91 inches / 1.41.4 inches = 2.35 inches

So the width of the new phone will be 2.35 inches

Forest rangers at a state park have observed a decline in the rate of trees per

acre over a 5-year period. At the beginning of their observations, there was an average of 48 trees per acre. At the end of the 5-year period, there was an

average of 42 trees per acre. If this trend continues, how many trees per acre

will there be 412 years from the end of the 5-year observation period?

After 412 years there will be **no trees **at the state park.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

**y = mx + b**.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From the given information,

Slope(m) = (42 - 48)/(5 - 0).

Slope(m) = - 6/5.

b = 48, As y-intercept(0, 48).

Therefore, y = - (6/5)x + 48.

Now, y = - (6/5)×412 + 48.

y = - 446.4 trees per acre, But there will be** no trees **as it came out to be a negative value.

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Determine the intercepts of the line. Do not round your answers. y+1=3(x − 4) x-intercept: (_,_) y-intercept: (_,_)

The **intercepts **of the line are x intercept: (4.3,0) y-**intercept**: (0,-13)

From the question, we have the following parameters that can be used in our computation:

y+1=3(x − 4)

To calculate the **x-intercept**, we set y to 0

So, we have the following representation

0+1=3(x − 4)

This gives

x - 4 = 1/3

So, we have

x = 4.33

To calculate the **y-intercept**, we set x to 0

So, we have the following representation

y + 1 = 3(0 − 4)

This gives

y + 1 = -12

So, we have

y = -13

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Write a linear function for the data in the table.

X

y

0

8

1

4.5

2

1

3

-2.5

4

-6

Main form: f(x)=mx+b

f(x)=-3.5x+8

f(x)=-3.5x+8

A pet store has 6 cats. Here are their weights (in pounds).

13,9 ,9 ,15 ,12 , 16

Find the mean weight of these cats.

If necessary, round your answer to the nearest tenth.

**Answer: About 50 lbs**

**Step-by-step explanation:**

**Answer:**

12.3

**Step-by-step explanation:**

To find the mean you have to add all the numbers and divide by the number of numbers.

They add up to 74 and divided by the number of numbers(6)

you get 12.333...

Then yiu round up to 12.3

12 In order to prepare for a future outbreak of Ebola, a harmful virus, two vaccines were tested. In order for either of these vaccines to be effective, they must?
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Maple Enterprises sells a single product with a selling price of $75 and variable costs per unit of $30. The companys monthly fixed expenses are $22,500.
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Describe on way in which the passage reflects a response to the Protestant Reformation during the period 1450-1750
How is a branching tree used.
Green S is a compound that produces green color. The maximum absorption (max) of this compound is at 650 nm. Tuzki wants to determine the molar absorptivity () of this green compound by generating a calibration curve. Below is the absorbance of different concentrations of Green S solutions. Plot Absorbance vs concentration, generate the trendline and determine of this green compound (L/(mol.cm)), assuming the length of the solution in a cuvette is 1.00 cm. (Instruction: please enter only a number below)
Would it be legal for the hotel to exclude some customers from the restrictions?
Copernicus said that t he rotation of the Earth on its axis caused the O A daily motions in the heavens. B phases of the Moon. OC retrograde motion of the planets O D eclipses of the Moon. O E motion of the Sun along the ecliptic.
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