Four years ago, Tom’s age was 3/4 of the age he will be in 6 years. How old is he now?

Answers

Answer 1

22 years old I believe

Related Questions

given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)

Answers

The point (x1,y1) on the graph of f(x) is the point (x1-a,y1) for the function
f(x+a)

(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4

(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)

The corresponding point for the fuction f(x -4) is (-4,-7)

Two circle are inscribed inside squares. Write a function f in terms of the radius r that represents the area of the shaded region. Leave your answer in terms of π.

f(r)=___

Answers

The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex].

The area of the shaded region is the sum of the areas of the two circles of same radius, each of them represented by the following formula:

[tex]A_{r} = \pi\cdot r^{2}[/tex] (1)

Where:

[tex]A_{r}[/tex] - Area of the circle.[tex]r[/tex] - Radius of the circle.

Then, the formula for the shaded area is:

[tex]f(r) = 2\cdot A_{r}[/tex]

[tex]f(r) = 2\pi\cdot r^{2}[/tex] (2)

The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex]. [tex]\blacksquare[/tex]

Remark

The figure is missing and the statement present mistakes. Correct statement is shown below:

Two circle are inscribed inside squares. Write a function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region. Leave your answer in terms of π.

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Which of the following is true about the polynomial 4x^3 - 2x? Select all that apply.

A. The polynomial has two terms.

B. The polynomial is a fourth degree polynomial with the appropriate third or fourth terminology replacement.

C. The polynomial has a leading coefficient of 3.

D. The polynomial is written in standard form.

Answers

A. The polynomial has 2 terms: "4x^3" and "-2x".

B. The polynomial is 3rd degree, the degree of the first term. We don't know what a "terminology replacement" is supposed to be. It seems to be nonsense.

C. The leading coefficient is the coefficient of the first term. It is 4.

D. Standard form has the terms in descending order of degree. This polynomial is written in standard form.

Selections A and D are appropriate.

helpppppppppppppppppp

Answers

y = e ^ (4x)
For this case what you should see are the values that the function takes when substituting any value of y.
We have then that the function will always be greater than zero.
Therefore the rank of the function is:
y> 0
Answer:
y> 0
option 2

Answer:
y > 0

Explanation:
The range is defined as all the possible values for the y.
We know the exponential function never gives a negatives zero. It also doesn't give a zero value.
This means that whatever the value of the power of the exponent is, the answer would always be a positive value greater than zero

Hope thus helps :)

6.The Polygon Similarity Postulate states that two polygons are similar if and only if there is a correspondence between their angles and their sides so that all corresponding angles are and all sides are proportional. _________
7.Similar figures have the same shape but are not necessarily the same size.

True
False

8.A directed line segment partitioned with a ratio of 4:3 would be divided into how many equal parts.

4

3

7

12

9.The ratio of the length of a side of an image to the length of the corresponding side of its pre-image is called the scale factor.

True
False

10.All properties of Proportions are valid, given that there is no ______________ in the denominator of the fraction representing the ratios.

Answers

6. angles are equal
7.True
8.True
9. Zero

6. Angles are equal and sides are proportional to similar figures
7. They can be the same size and they would be congruent but if they are proportional they would still fir the definition of similar polygons
8. all sides when multiplied by the scale factor change by that ratio.
9.A zero in a denominator is renders it undefined.

please help understand this and get it done.

Answers

You have an odd number of minus signs in your problem statement. You need an odd number of minus signs in your answer.

The 1st, 3rd, and 5th selections are appropriate.

The line through (8, 0) with slope -3/4 in slope-intercept form

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ % (a,b) &&(~ 8 &,& 0~) \end{array} \\\\\\ % slope = m slope = m\implies -\cfrac{3}{4} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=-\cfrac{3}{4}(x-8) \implies y=-\cfrac{3}{4}x+6[/tex]

Pls, answer!! I will mark the 1st person to answer correctly with work as brainliest for 20 points!

Answers

Lets get started ;)

[tex] 8\frac{1}{3} [/tex] = [tex] \frac{25}{3} [/tex]
[tex]2 \frac{1}{3} [/tex] = [tex] \frac{7}{3} [/tex]
8.1 = [tex] \frac{81}{10} [/tex]

(When you divide by a value/fraction, you can multiply by its reciprocal)

[tex] \frac{25}{3} [/tex] × [tex] \frac{1}{x} [/tex] = [tex] \frac{7}{3} [/tex] × [tex] \frac{10}{81} [/tex]

[tex] \frac{25}{3x} [/tex] = [tex] \frac{70}{243} [/tex]

We can cross multiply :)

25 × 243 = 3x × 70
6075 = 210x

We can divide by on either side to isolate x and thus find its value

[tex] \frac{6075}{210} [/tex] = [tex] \frac{210x}{210} [/tex]

210 and 210 cancels out on the right-hand side

[tex] \frac{405}{14} [/tex] = x

Simplify by using radical. Rationalize denominators.
[tex] 2a^{-1/2} [/tex]

Answers

[tex]2a^{- \frac{1}{2} }= \cfrac{2}{a^{ \frac{1}{2} }} = \cfrac{2}{ \sqrt{a} } = \cfrac{2 \sqrt{a} }{a} [/tex]

Answer:

[tex]\frac{2\sqrt a}{a}[/tex]

Step-by-step explanation:

The given equation is [tex]2a^{-1/2}[/tex]

The exponent rule: [tex]x^{-a}=\frac{1}{x^a}[/tex]

Using this rule, we get

[tex]2a^{-1/2}\\\\=\frac{2}{a^1/2}[/tex]

We can rewrite this in radical form as

[tex]\frac{2}{\sqrt a}[/tex]

Rationalize the denominator by multiplying numerator and denominator by [tex]\sqrt a[/tex]

[tex]\frac{2}{\sqrt a}\cdot \frac{\sqrt a}{\sqrt a}[/tex]

On simplifying

[tex]\frac{2\sqrt a}{a}[/tex]

A 3500.00 $ principal earns 3% annual interest, Compounded semiannually after 20 years, what is the balance in the account

Answers

$4,713.99

Hope this helped!

What is the slope of the line 3x + 4y = -11?

answers:
3\4
-3\4
3
4

Answers

you need to make it in the form of y=mx+b, and m will be the slope
so...
3x-4y=7
subtract 3x from both sides
-4y=-3x+7
then divide both sides by -4
y=(3/4)x-7/4

so the slope is 3/4

Final answer:

To find the slope of the line given by 3x + 4y = -11, the equation is rearranged into the slope-intercept form, yielding a slope (m) of -3/4.

Explanation:

The question asks: What is the slope of the line 3x + 4y = -11?

To find the slope of the line, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the given equation

3x + 4y = -11

We isolate y on one side by first moving 3x to the right side of the equation, and then dividing everything by 4:

4y = -3x - 11y = (-3/4)x - 11/4

Now, in the form of y = mx + b, it's clear that the slope (m) of the line is -3/4.

Help me please!!!!!!!

Answers

You need to split the shape up into separate pieces so you can find their areas easily. I have shown this and the working out in the picture.
To find the measurements of the sides of the triangles, I just did 7-6=1 and 14-8=6 to find the missing lengths. So, your answer is 90 units^2

What is the solution to the equation 5x = 40?

Answers

To find X, we can divide 5 into 40.
40 divided by 5 is 8.
Now we can do 5 x 8. That is 40.

X=40

OR we can do it another way.
40 divided by 5 is 8.
Cross out 5 divided by 5.

Now we have 8. Still.
X is 8

Hello,

The answer is "x=8".

Reason

5x=40=40/5

40/5=8

x=8

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Can someone help me...?

Answers

1. (x, y) = (7, -12)

2. x = 1, x = 2 are both solutions

Carla borrowed $1,400 for three months at 9.75% interest. How much
interest did she pay for the loan?
a. $34.13
b. $49
c. $136.50
d. $1,547

HELP ASAP (ANSWER IS NOT D)

Answers

Carla paid $34.13 as interest for the $1,400 loan at 9.75% for three months that is option A is the correct answer.

The interest Carla paid for the loan is $34.13.

Calculate the interest using the formula: Interest = Principal x Rate x Time.

Substitute the values for Principal, Rate, and Time into the formula to find the interest amount.

For Carla's loan ($1,400 at 9.75% for three months), the interest is calculated to be $34.13.

an internet passcode consists of a digit followed by a letter, followed by another digit. Assuming the digits are 0-9, how many different passcode are possible?

Answers

There are 10 single-digits (0 through 9) and 26 letters (A through Z)

For the first slot there are 10 choices which represents selecting a single digit
For the second slot there are 26 choices because we choose a single letter here.
Finally there are another 10 choices for the third slot (assuming repeats are allowed)

Multiply the values out: 10*26*10 = 260*10 = 2600

Answer: 2600

Answer:

2600

Step-by-step explanation:

The perimeter of a rectangular outdoor patio is 60 ft. the length is 4 ft greater than the width. what are the dimensions of the patio? l w

Answers

The length of rectangular outdoor patio is 17 feet and the width is 13 feet.

Given that, the perimeter of a rectangular outdoor patio is 60 ft.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of the rectangular outdoor patio be x.

Then, the length is 4 ft greater than the width = x+4

Now, perimeter = 2(x+x+4)

⇒ 2(2x+4) = 60

⇒ 4x+8=60

⇒ 4x=52

⇒ x=13

Length = x+4 = 17

Therefore, the length of rectangular outdoor patio is 17 feet and the width is 13 feet.

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How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?

Answers

Cylinder Volume = π • r² • height
Cylinder Volume = 3.14159 * 12 * 12 * 30
Cylinder Volume = 13,571.67 cubic feet

ABCD is a rectangle. Find the length of each diagonal.

Answers

Answer: The correct answer is 3

Step-by-step explanation:

C = 3

AC = 3/3 = 1

BD = 4 - 3 = 1

The length of each diagonal is 12/5. This demonstrates that in a rectangle, the diagonals are always equal in length.

In a rectangle, the diagonals are equal in length. Therefore, we can equate [tex]$AC$ and $BD$[/tex].

Given [tex]$AC = \frac{C}{3}$ and $BD = 4 - C$[/tex], we set them equal: [tex]$\frac{C}{3} = 4 - C$[/tex]. Solving for $C$ yields [tex]$C = \frac{12}{5}$[/tex].

Substituting this value back into either [tex]$AC$ or $BD$[/tex] gives us the length of the diagonals.

Thus, the length of each diagonal is [tex]$AC = BD = \frac{12}{5}$[/tex]. This demonstrates that in a rectangle, the diagonals are always equal in length.

A animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population, how many dogs and cats are in the animal shelter?

Answers

32%=16
100%=[tex] \frac{100}{32} *16=50animals[/tex]

The total number of animals in a shelter is 50 and number of cats in the shelter is 34.

Given that, a animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be the total number of dogs and cats are in the animal shelter.

So, 32% of x=16

⇒ 32/100 ×x=16

⇒ 0.32x=16

⇒ x=16/0.32

⇒ x=50

So, number of cats =50-16

= 34

Therefore, the total number of animals in a shelter is 50 and number of cats in the shelter is 34.

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PLEASE HELP!!!! :(
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 17°31'. When the boat stops, the angle of depression is 46°41'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.

Answers

The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)

We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft

Final answer:

By using the tangent function and the angles of depression given, we can calculate the distances from the boat to the lighthouse when it was first spotted and when it stopped. Subtracting the second distance from the first gives us the distance the boat traveled.

Explanation:

This is a question about Trigonometry, involving the concepts of angles of depression and distances. In the situation presented, we are given the height of the lighthouse (200 feet), and two angles of depression - 17°31' when the boat was first noticed and 46°41' when the boat stopped. We can use the tangent function to calculate the distance from the lighthouse to the boat at these two points, then subtract these distances to find how far the boat traveled.

The tangent of an angle in a right triangle is equal to the opposite side divided by the adjacent side. Therefore, when the angle of depression was 17°31', we can use the equation tan(17°31') = 200/distance1 to solve for the first distance. Similarly, for the angle of depression 46°41', we use the equation tan(46°41') = 200/distance2.

Solving these two equations separately will give us the distances from the boat to the lighthouse at these two moments. Then we subtract distance2 from distance1 to get the distance the boat traveled.

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Determine whether each triangle with sides of given lengths is a right triangle. Hint: Set a2+b2=c2a2+b2=c2 If One side is equal to the other, then it's a right triangle. It sides are not equal, then it's not a right triangle. a = 6 cm b= 8 cm c = 10 cm

answers yes or no

Answers

a = 6
b = 8
c = 10 will produce a rt angle triangle.

a^2 + b^2 = c^2
6^2 + 8^2 =? 10^2
36 + 64 = ? 100
100 = 100 so the answer is yes to this part.

The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in thousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit

Answers

the maximum or minimum happens when x=-b/2a
x=-1200/[2*(-6)]=100

the maximum happens when x=100

Lucy watched TV for 25 of an hour on Monday. She watched 79 of an hour on Tuesday. What day did she spend more time watching TV?

Answers

Hello there,

Lucy watched more TV on Tuesday.

This is because 1 hour = 60 minutes.

so, 25% of 60 min = 15 min on Monday

and, 79% of 60 min = 47.7 min rounded gives 48 minutes on Tuesday...

Hope this answer helps. Good luck.

He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,

Answers

Final answer:

The measure of one angle in an octagon is 135.625 degrees.

Explanation:

Let's denote the measure of one angle as x.

Since there are eight angles in an octagon,

the sum of all the angles in the octagon is 180(x) + 7(2x) = 180x + 14x = 194x.

We know that the sum of the angles in any polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon.

Therefore, 194x = (8-2) × 180. Solving this equation,

we find that x = 135.625. So, the measure of each angle is 135.625 degrees.

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Please help!? I'll give you a medal:D

1. a tessellation is a ___________________ pattern of figures.
A. Reflecting
B. Repeating
C. Symmetrical.

2. A tessellation has no _______
A. Gaps and overlays
B. translations
c. repeated figures.

Answers

A tessellation is a repeating pattern of figures that has no gaps or overlays.

Hope this helped!

A tessellation is a Repeating pattern of figures. A tessellation has no gaps or overlays. In geometry, sometimes we are scared to commit to such a pattern of consistency. THis pattern is a beautiful one, that when done right, can give you much more than you asked for. Geometry, a wonderful thing!!!

What is the sum of the first 7 terms of the series −8+16−32+64−

Answers

Lets Get started :)

The terms given are
- 8 , + 16 , - 32 , + 64

The formula for finding the sum of this geometric sequence is:

Sn = [tex] \frac{a1(r^n - 1)}{r -1} [/tex]
a₁ = first term of sequence = -8
r = common ration = -2
n = term of sum we need to find = 7

Sn = [tex] \frac{-8((-2)^7 - 1)}{-2-1} [/tex]
= -344

There is also another way, by simply adding, but you cannot perform this when they ask for a larger terms sums

Each term are multiplied by - 2, so to find the rest of the terms, we multiply by - 2

+ 64 x - 2 = - 128
- 128 x -2 = + 256
+256 x - 2 = - 512

( - 8 ) + ( 16 ) + ( - 32 ) + ( 64 ) + ( - 128 ) + ( 256 ) + ( - 512 ) (first 7 terms)
= -344

-8 + 16 + -32 + 64 + -128 + 256 + -512 (These are the first 7 terms) The total = -344

What power do you raise a number to to get the square root of it?

Answers

Answer: To get the "square root" of a number, you can raise a number to the
"(1/2)" exponent.

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

We must solve the system in order to find an answer.
Let's solve the system of equations:
[tex]x + y = 24\\ 3x + 5y = 100[/tex]
Now let us multiply the first equation by -3:
[tex]x + y = 24/\cdot(-3)\\ 3x + 5y = 100\\ --------\\ -3x-3y=-72\\ 3x + 5y = 100 [/tex]
We add those two equations together( 3x-3x will cancel out):
[tex]-3x-3y=-72\\+ 3x + 5y = 100\\ --------(+)\\ 2y=28\\ y=14 [/tex]
Now we simply plug y=14 into any of the starting equations to find x:
[tex]x + y = 24\\ x+14=24\\ x=10[/tex]
The answer is B:
The test contains 10 three-point questions and 14 five-point questions.

The answer to your question is B :)

Find the angle with a tangent ratio of 0.9325

Answers

To find the angle with a given tangent, use the inverse tangent.
Putting tan⁻¹ (0.9325) in the calculator gives us a value of 42.9995 ≈ 43°. Double check by using the calculator for tan(43). You get a value of 0.9325.

Answer:

B. 43

Step-by-step explanation:

Other Questions

Which activity poses a risk to one's health?Question 13 options:using several forms of social mediadoing anaerobic exerciselimiting your social calendaroverindulging in alcohol It is difficult to successfully train many children to walk before they are 10 months old. this best illustrates the importance of Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she pays sales tax. She writes the expression h + 0.05h to find the total amount she will pay for the hat if it costs h dollars. Jin correctly writes another expression, 1.05h, that will also find the the total amount Sylvia will pay for the hat if it costs h dollars. Use the drop-down menus to explain what each part of Sylvia's and Jin's expressions mean. An important way for the government to show it is serious about consumer rights is to __________. A. publish a list of the rights in major newspapers B. create agencies with the authority to protect those rights C. tell businesses they should respect consumer rights D. make an announcement to the American people Marcial is aware that he is sitting in the library reading a book. he is also aware that he is both tired and hungry. psychologists call marcial's awareness of the world and himself: Mrs. Rodriguez has 18 packages of pens in stock at her store on monday. On tuesday, she has 5/6 the number of pens she had on monday. On Wednesday, she has 2/5 of the number of pens she had on tuesday. How many packages of pens does she hve on Wednesday? A Student performing this experiment mistakenly used 6.0 ml of 16 M hno3 to dissolve 0.18g of solid copper , instead of the 4.0 ml described in lab manual. What volume of 6 M naoh are required to neutralized the excess acid 50 POINTS!A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Check all that applyA)The inequality should be written as 25s300.C)The circle is open.D)The circle is closed. E)The arrow points left. F)The arrow points right Each cell expresses, or turns on, only a fraction of its genes. the rest of the genes are repressed, or turned off. the process of turning genes on and off is known as gene regulation. gene regulation can occur at any point during gene expression, but most commonly occurs at the level of _________, when the information in a gene's dna is transferred to mrna. Which class of glycoconjugates contain both d and l-amino acids? There is a sales tax of $22 on an item that costs $272 before tax. The sales tax on a second item is $19.25. How much does the second item cost before tax? in the book holes how does the flashback about Stanleys grandfather affect the reader If you dilute 13.0 ml of the stock solution to a final volume of 0.260 l , what will be the concentration of the diluted solution? in an experiment to see if having a nurse come three times to visit the homes of newborn babies reduces doctor visits, what is the independent variable The agricultural economy has harmed Kazakhstan and Kyrgyzstan because of its use of _____.nomadic herderspowerful chemicalsunskilled workersrenewable resources The author of "The Black Cat" uses flashback to tell the story. Which passage from the story can only be used because of this structure?A. Yet, mad am I not and very surely do I not dream.(B.) In their consequences, these events have terrified have tortured have destroyed me.C. Who has not, a hundred times, found himself committing a vile or silly action, for no other reason than because he knows he should not?D. Hereafter, perhaps, some intellect may be found which will reduce my phantasm to the commonplace . . .(ANSWER IS (B.) In their consequences, these events have terrified have tortured have destroyed me. write a for loop that displays the following set of numbers: 0,10,20,30,40,50....1000 Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses. When he started his trip, the odometer read 26.645, When he returned home, the odometer read 28,017. Zach's car gets about 48 miles per gallon. If the tank was full at the beginning of the trip and it cost $62.28 to fill the tank at the end of the trip, what price did Zach pay per gallon? When traits inherited from both parents are expressed, the alleles are said to have A. homozygous recessive alleles. B. polygenic inheritance. C. incomplete dominance. D. mutations. The Israelite king who built a temple in Jerusalem was __________. a. David c. Saul b. Solomon d. Nebuchadnezzar