Answer:
20 cents.
Step-by-step explanation:
You can drop 2 zeros from both the price and the amount of pencils. If 1000 pencils costs 20.00 dollars then 10 pencils cost .20 dollars or 20 cents.
The diagram represents three statements: p, q, and r. For what value is both p ∧ r true and q false? 2 4 5 9
Answer:
the answer is C.5
Step-by-step explanation:
Solve for b
-11b + 7 = 40
b =
Answer:
b = - 3
Step-by-step explanation:
Given
- 11b + 7 = 40 ( subtract 7 from both sides )
- 11b = 33 ( divide both sides by - 11 )
b = - 3
Answer:
-3
Step-by-step explanation:
-11b + 7 = 40
-11b = 40 - 7
-11b = 33
b = 33/-11
b = -1
Happy to help
Pls mark as Brainliest
An angle measures 41 degrees. What is its supplement?
An angle measures 31 degrees. What is its compliment?
Answer:
139 and 59, respectively
Step-by-step explanation:
By definition, supplementary means that the angles all add up to equal 180 degrees. Therefore, 180 - 41 = 139.
By definition, complementary means that the angles all add up to equal 90 degrees. Therefore, 90 - 31 = 59.
What is the volume of this cylinder? (Round to the nearest inch ) 7( radius)
14( height)
Please help me
Answer:
The formula for the volume of a cylinder is:
V= pi * radius^2 * height
When the values are plugged in, you would have:
V= pi * 7^2 * 14
Then simplified....
V= pi * 49 * 14
V= pi * 686
V= 2155.13256036
and when rounded to the nearest inch...
the volume would be approximately 2155 inches.
The general form of the equation of a circle is x2+y2−4x−8y−5=0.
What are the coordinates of the center of the circle?
Enter your answer in the boxes.
Answer:
centre = (2, 4)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 4x - 8y - 5 = 0
Rearrange the x/y terms together and add 5 to both sides
x² - 4x + y² - 8y = 5
Use the method of completing the square on both the x/y terms
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16
(x - 2)² + (y - 4)² = 25 ← in standard form
with centre (2, 4) and r = [tex]\sqrt{25}[/tex] = 5
The mean of a set of normally distributed data is 600 with a standard devastation of 20. What percent of data is between 580 and 620
Answer: 68%
Step-by-step explanation:
during the baseball season, the white sox won 15 games out of 20. what percentage of the game did they win?
Answer:
75%
Step-by-step explanation:
15 divided by 20 = .75 then convert to a percentage is 75%
A function g(x) has x-intercepts at (1/2,0) and (6,0) which could be g(x)?
g(x)=2(x+1)(x+6)
g(x) =(x-6)(2x-1)
g(x)=2(x-2)(x-6)
g(x) = (x+6)(x+2)
The answer is g(x)=(x-6)(2x-1).hope this helps please add brainlist
Answer:
[tex]\boxed{g(x) = (x - 6)(2x - 1)}[/tex]
Step-by-step explanation:
An x-intercept is the value of x when g(x) = 0. So, for each function, we must set g(x) = 0 and solve for x.
(a) g(x) = 2(x + 1)(x + 6) = 0
x + 1 = 0 x + 6 = 0
x = -1 x = -6
Wrong.
(b) g(x) = (x - 6)(2x - 1)
x - 6 = 0 2x – 1 = 0
x = 6 2x = 1
x = ½
Right.
(c) g(x) = 2(x - 2)(x - 6)
x - 2 = 0 x - 6 = 0
x = 2 x = 6
Wrong.
(d) g(x) = (x + 6)(x + 2)
x + 6 = 0 x +2 = 0
x = -6 x = -2
Wrong.
The only function that has x-intercepts at (½, 0) and (6, 0) is
[tex]\boxed{g(x) = (x - 6)(2x - 1)}[/tex]
What’s the slope of the line?
Slope equation: y2-y1/x2-x1
7-9/-12-(-10)
-2/-2 = 1
Answer:
Slope = 1
Step-by-step explanation:
(y2 - y1) ÷ (x2 - x1) = (7 - 9) ÷ (-12 - [-10]) = -2 ÷ (-2) = 1
what is the parent function of
f(x)=2/5(-x-5)^5 +2
Answer:
Parent function: [tex]x^{5}[/tex]
Step-by-step explanation:
Parent function is the simplest form of the type of function given
for equation: [tex]\frac{2}{5} (-x -5)^{5} +2[/tex]
the simplest form is: [tex]x^{5}[/tex]
Solve ax – 5 = b for a
ax - 5 = b
ax = b + 5
a = [tex]\frac{b+5}{x}[/tex]
Answer:
[tex]a=\frac{b+5}{x},x\ne0[/tex]
Step-by-step explanation:
The given equation is:
[tex]ax-5=b[/tex]
We want to solve this equation for a.
We add 5 to both sides of the equation to get:
[tex]ax=b+5[/tex]
We divide both sides by x to get:
[tex]a=\frac{b+5}{x},x\ne0[/tex]
We must restrict the domain because a is not defined for all values of x.
PLEASE HELP! 8 points!! Find the first 5 terms.
Answer:
2, 6, 12, 20, 30
Step-by-step explanation:
To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the rule
a₁ = 1² + 1 = 1 + 1 = 2
a₂ = 2² + 2 = 4 + 2 = 6
a₃ = 3² + 3 = 9 + 3 = 12
a₄ = 4² + 4 = 16 + 4 = 20
a₅ = 5² + 5 = 25 + 5 = 30
Find the mean, median, and mode of the date.
4, 8, 11, 6, 4, 5, 9, 10, 10,4
Answer:
Mean: 7.1, median: 7, mode: 4
Step-by-step explanation:
The mean, also known as the average, is equal to the sum of all the numbers divided by how many numbers there are.
4 + 8 + 11 + 6 + 4 + 5 + 9 + 10 + 10 + 4 = 71
10 numbers
71/10 = 7.1
The median is the number in the middle of the set.
4, 4, 4, 5, 6, 8, 9, 10 ,10 ,11
6 and 8 are in the middle, and the number between 6 and 8 is 7.
The mode of a set of numbers is the most common number. In this case, the number is 4 as it appears 3 times.
A 4-digit number ends in 3. If you put the number 3 in the first position, the number will decrease by 738. Find the original 4-digit number.
Answer:
4153. Read the explanation please. There is no point in just reading the answer because the same type of problem can come up in the RSM homework or in a test and you will have no idea how to solve it.
Step-by-step explanation:
Form an equation with the information you know.
1. Moving the last digit, 3, to the first position is the same as doing (x-3)/10 +3000, where x is the original 4-digit number.
Why it works: This expression works because first, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there. To remove the zero, you divide by 10. Finally, to put the 3 at the first position, you add 3000.
2. Since you know that the number will decrease by 738, you can do the second part of forming the equation. Make the expression equal to x - 738, like so --> (x-3)/10 + 3000 = x - 738
Solve the equation.
3. (x-3)/10 + 3000 = x-73
(x-3)/10 = x - 3738
x-3 = 10x - 37380
x = 10x - 37377
-9x = -37377
x = 4153
Well, I've got to get back to my RSM homework. I hope this helped!
P.S.- The next time you have a question, email your RSM teacher (I'm assuming you go to RSM) because he/she is much more qualified then me (I'm only 12) and you don't really know if you can trust people giving you answers on Brainly.com.
How to write 24.58 expanded form?
20.00 + 4.00 + 00.50 + 00.08
To write expanded from take each number from left to right and turn all the numbers that are after it into zeros (if there is a decimal then turn the numbers before it into zeros as well)
2 has 4 numbers after it so it gets 4 zeros: 20.00
4 has 2 numbers after it so it gets 2 zeros: 4.00
5 is a decimal that has two numbers before it and one after, so before the decimal there are two zeros, then after the decimal comes the five, then there is one number after the 5 so one zero after the five.
8 is a decimal that has three numbers before it , so before the decimal there are two zeros, then after the decimal is a number that becomes zero then the 8
Hopefully that made sense to you and was helpful! Let me know!
Find two additional polar representations of the point. Write each coordinate in simplest form with the angle in
Answer:
The other two other representation are (6 , -4π/3) and (-6 , -π/3)
Step-by-step explanation:
* Lets revise some important facts about the polar form of a point
- In polar coordinates there is an infinite number of coordinates for a
given point
- The point (r , θ) can be represented by any of the following coordinate
pairs (r , θ+2πn) , (-r , θ + [2n+1]π) , where n is any integer
* Now lets solve the problem
∵ A point has polar coordinates (6 , 2π/3)
- We can find many points as the same with this point
- The point (r , θ) can be represented by any of the following coordinate
pairs(r , θ + 2πn) and (-r , θ + (2n + 1)π), where n is any integer.
∵ The angle in [-2π , 2π]
∵ r = 6 and Ф = 2π/3
- Let n = -1
∴ (r , Ф + 2πn) = (6 , 2π/3 + 2π(-1)) = (6 , 2π/3 - 2π) = (6 , -4π/3)
* One point is (6 , -4π/3)
∴ (-r , θ + (2n + 1)π) = (-6 , 2π/3 + (2(-1) + 1)π) = (-6 , 2π/3 + (-2 + 1)π)
∴ (-r , θ + (2n + 1)π) = (-6 , 2π/3 + (-1)π) = (-6 , 2π/3 - π)
∴ (-r , θ + (2n + 1)π) = (-6 , -π/3)
* One point is (-6 , -π/3)
Final answer:
To find two additional polar representations of a point, you can add or subtract 2π radians (or 360° if using degrees) from the original angle, while keeping the radius the same.
Explanation:
A student has asked for two additional polar representations of a point. Polar coordinates specify the location of a point in a plane by a distance from the origin (r) and an angle (φ) with respect to the positive x-axis. To find additional representations, we can add 2π radians to the angle for each full rotation around the circle, keeping the same distance 'r'. For example, if a point has polar coordinates (r, φ), two other representations could be (r, φ + 2π) and (r, φ - 2π), or if in degrees, (r, φ + 360°) and (r, φ - 360°).
Match the polynomials with their factors. 2a2 + 5a − 3 (a + 1)(2a − 3) 2a2 − a − 3 (a − 1)(2a + 3) 2a2 − 5a − 3 (2a − 1)(a + 3) 2a2 + a − 3 (2a + 1)(a − 3)
Answer:
2a² + 5a - 3 = (2a - 1)(a + 3)
2a² - a - 3 = (2a - 3)(a + 1)
2a² - 5a - 3 = (2a + 1)(a - 3)
2a² + a - 3 = (2a + 3)(a - 1)
Step-by-step explanation:
* To factor a trinomial in the form ax² ± bx ± c:
- Look at the c term
# If the c term is positive
∵ c = r × s ⇒ r and s are the factors of c
∴ r and s will have the same sign (sign of b)
∵ a = h × k ⇒ h , k are the factors of a
∴ rk + hs = b
∴ (hx + r)(kx + s) ⇒ if b +ve OR (hx - r)(kx - s) ⇒ if b -ve
# If the c term is negative
∵ c = r × s ⇒ r and s are the factors of c
∴ r and s will not have the same sign
∵ a = h × k ⇒ h and k are the factors of a
∴ rk - hs = b OR hs - rk = b
(hx + r)(kx - s) OR (hx - r)(kx + s)
* Now lets solve the problem
∵ 2a² + 5a - 3
∴ c = -3 ⇒ -ve term
∴ r , s have different sign
∵ 3 = 1 × 3 then r = 1 , s = 3
∵ a = 2
∵ a = h × k
∵ 2 = 2 × 1 then h = 2 , k = 1
∵ rk = 1
∵ sh = 6
∴ sh - rk = 5 ⇒ same value of b
∵ (hx - r)(kx + s)
∴ 2a² + 5a - 3 = (2a - 1)(a + 3)
∵ 2a² - a - 3
∴ c = -3 ⇒ -ve term
∴ r , s have different sign
∵ 3 = 3 × 1 then r = 3 , s = 1
∵ a = 2
∵ a = h × k
∵ 2 = 2 × 1 then h = 2 , k = 1
∵ rk = 3
∵ sh = 2
∴ sh - rk = -1 ⇒ same value of b
∵ (hx - r)(kx + s)
∴ 2a² - a - 3 = (2a - 3)(a + 1)
∵ 2a² - 5a - 3
∴ c = -3 ⇒ -ve term
∴ r , s have different sign
∵ 3 = 1 × 3 then r = 1 , s = 3
∵ a = 2
∵ a = h × k
∵ 2 = 2 × 1 then h = 2 , k = 1
∵ rk = 1
∵ sh = 6
∴ rk - hs = -5 ⇒ same value of b
∵ (hx + r)(kx - s)
∴ 2a² - 5a - 3 = (2a + 1)(a - 3)
∵ 2a² + a - 3
∴ c = -3 ⇒ -ve term
∴ r , s have different sign
∵ 3 = 3 × 1 then r = 3 , s = 1
∵ a = 2
∵ a = h × k
∵ 2 = 2 × 1 then h = 2 , k = 1
∵ rk = 3
∵ sh = 2
∴ rk - sh = 1 ⇒ same value of b
∵ (hx + r)(kx - s)
∴ 2a² + a - 3 = (2a + 3)(a - 1)
help me with this question
It's the second one because each means one or single and a singular subject has a singular verb...
Answer soon please. I will mark brainiest!
Answer:
Exponential function.
[tex]y = - 6( {3}^{x - 1} ) = - 2( {3}^{x} )[/tex]
As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.
which of the following is the inverse of the function given below
[tex]f(x) = \frac{x + 2}{7} [/tex]
ANSWER
[tex]{f}^{ - 1} (x) = 7x - 2[/tex]
EXPLANATION
The given function is:
[tex]f(x) = \frac{x + 2}{7} [/tex]
Let
[tex]y = \frac{x + 2}{7} [/tex]
Interchange x and y.
[tex]x= \frac{y + 2}{7} [/tex]
Solve for y by first multiplying through by 7.
[tex]7x = y + 2[/tex]
Add -2 to both sides of the equation.
[tex]7x - 2 = y[/tex]
Or
[tex]y = 7x - 2[/tex]
Hence the inverse function is:
[tex]{f}^{ - 1} (x) = 7x - 2[/tex]
Answer:
p(x) = 7x - 2
Find the value of a and b
Answer:
[tex]\large\boxed{a=\dfrac{58}{25},\ b=0}[/tex]
Step-by-step explanation:
[tex]\dfrac{3\sqrt3+\sqrt2}{3\sqrt3-\sqrt2}+\dfrac{3\sqrt3-\sqrt2}{3\sqrt3+\sqrt2}\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\dfrac{(3\sqrt3+\sqrt2)(3\sqrt3+\sqrt2)}{(3\sqrt3-\sqrt2)(3\sqrt3+\sqrt2)}+\dfrac{(3\sqrt3-\sqrt2)(3\sqrt3-\sqrt2)}{(3\sqrt3+\sqrt2)(3\sqrt3-\sqrt2)}\\\\=\dfrac{(3\sqrt3+\sqrt2)^2}{(3\sqrt3)^2-(\sqrt2)^2}+\dfrac{(3\sqrt3-\sqrt2)^2}{(3\sqrt3)^2-(\sqrt2)^2}\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2[/tex]
[tex]=\dfrac{(3\sqrt3)^2+2(3\sqrt3)(\sqrt2)+(\sqrt2)^2}{3^2(\sqrt3)^2-2}+\dfrac{(3\sqrt3)^2-2(3\sqrt3)(\sqrt2)+(\sqrt2)^2}{3^2(\sqrt3)^2-2}\\\\=\dfrac{3^2(\sqrt3)^2+6\sqrt6+2}{9\cdot3-2}+\dfrac{3^2(\sqrt3)^2-6\sqrt6+2}{9\cdot3-2}\\\\=\dfrac{9\cdot3+6\sqrt6+2}{27-2}+\dfrac{9\cdot3-6\sqrt6+2}{27-2}\\\\=\dfrac{27+6\sqrt6+2}{25}+\dfrac{27-6\sqrt6+2}{25}\\\\=\dfrac{29+6\sqrt6}{25}+\dfrac{29-6\sqrt6}{25}\\\\=\dfrac{29+6\sqrt6+29-6\sqrt6}{25}\\\\=\dfrac{58}{25}[/tex]
The population of a town went from 18,000 to 17,460
Which would mean that 540 people died or left the town.
I hope that this helps! :D
3 out of every 5 picks are orange. If 12 picks are orange,how many picks are they in all
Answer: The answer to your question is 20
Step-by-step explanation: We know that 3 out of every 5 picks are oranges. And if the next 12 picks are orange, what is the total number of oranges in all?
So first, you would set up a proportion, which would look like this:
3 oranges/ 5 picks = 12 oranges/ x picks
Let the number of picks be known as x, our variable, since we don't know how many oranges are there total.
Next, when you have a proportion that you are trying to solve, the best thing to do is cross multiply, which will look this:
3x = 12(5)
3x = 60
3x/3 = 60/3
x=20 picks
Therefore, the answer is 20 picks
If the equation below is solved by graphing, which statement is true?
log(6x+10) = log 1/2 x
a. the curves intersect at approx. x=0.46
b. the curves intersect at approx. x=0.75
c. the curves intersect at approx. x=1.11
d. the curves intersect at approx. x=3.07
Step-by-step explanation:
the curves intersect at approcx=0.46
Answer:
a. the curves intersect at approx. x=0.46Step-by-step explanation:
The given function is
[tex]log(6x+10)=log_{\frac{1}{2} }x[/tex]
If we graph this function, the result is like the image attached. There you can observe that the intersection point is at (0.464, 1.107).
If we round this points to the nearest hundred, they would be
x = 0.46 and y = 1.11.
Therefore, the right answer is
a. the curves intersect at approx. x=0.46
Andre has enough to fill 3500 in.3.. he decides to change the length of the step so that he will use all of the cement. What will be the new length of the step?
Answer:
43.75 inches or 43 and 3/4 inches.
Step-by-step explanation:
Ok, thanks for the complement of information.
So, to find the volume of that step, which is a rectangular prism, we would use the simple formula:
V = length * width * height
In this case, we have the total volume (3,500 cu in), we have the width (10 inches) and we have the height (8 inches). But we need to find out the new length in order for him to use all 3,500 cu in of cement.
So, we transform the formula above into:
length = V / (width * height)
then we plug-in the numbers:
length = 3,500 / (8 x 10) = 3,500 / 80 = 43.75
So, the new length of the step would be 43.75 inches or 43 and 3/4 inches.
-y-2=3y+5 what is the answer
Answer:
y= -7/4
Step-by-step explanation:
-2-y=3y+5 (subtract 5 from both sides)
-7-y=3y (add 1y to both sides)
-7=4y (divide by 4)
y= -7/4
Answer:
y = -7/4
Step-by-step explanation:
Step 1: Isolate x by combining like terms
4y = -7
Step 2: Simplify
y = -7/4
i dont know whats the answer can someone help me ?
Answer: 1206.37
Step-by-step explanation:
Multiply the pie times the radius and height
3.14 * 8^2 * 6
Answer:
V =384 pi units ^3
or
V =1205.76 units ^3
Step-by-step explanation:
Volume of a cylinder is given by
V = pi r^2 h
where r is the radius and h is the height
V = pi (8)^2 *6
V = pi (64)*6
V =384 pi units ^3 (exact answer)
or is we used 3.14 for pi
V = (3.14) * 384
V =1205.76 units ^3
During the trip, the Morales family drove on several different highways. Gabriela and Luis noticed that sometimes the mile markers were increasing, and other times the mile markers were decreasing.
On one highway, Gabriela noticed that they passed mile marker 123 at 1:00. She then saw that they reached mile marker 277at 3:00. Since Mr. Morales was driving at a constant speed, their mile-marker location over time can be represented by a line where the time in hours is the independent variable and the mile marker is the dependent variable. The points (1,123) and (3,277) are two points on this line.
What is the value of the slope of this line?
Enter your answer as the correct value, like this: 42
If your answer is a fraction, use the / symbol. For example, if your answer is 314, enter your answer like this: 3/14
Answer:
The slope of the line is 77
Explanation:
We know the speed is constant and that the mile-marker location over time can be represented by a line. This means that the equation is linear.
The slope can, therefore, be calculated as follows:
[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁ , y₁) and (x₂ , y₂) are two points on the line
We are given that the two points (1, 123) and (3, 277) are two points in the line
Substitute with them in the above equation to get the slope as follows:
[tex]slope = \frac{277-123}{3-2}=77[/tex]
Hope this helps :)
The slope of a line represents the rate of change between two variables. The value of the slope in this scenario is 77/2.
The slope of a line represents the rate of change between two variables. In this case, the slope can be calculated using the formula:
slope = (change in y) / (change in x).
Given the points (1,123) and (3,277), the slope can be calculated as follows:
slope = (277 - 123) / (3 - 1).
Therefore, the value of the slope of the line representing the Morales family's mile-marker locations over time is 77/2.
In the given right triangle, find the missing length to the nearest tenth.
8.5 ft
7.9 ft
24.1 ft
25 ft
Answer:
25 ft
Step-by-step explanation:
a² + b² = c²
7² + 24² = c²
49 + 576 = c²
c² = 625
c = √625
c= 25
Answer:
D. 25 ft.
Step-by-step explanation:
To find the missing length of any right triangle, you can use the Pythagorean Theorem (A^2+B^2=C^2) to solve. A and B represent the legs (which we do have) and C represents the hypotenuse (which we are trying to find). Insert our known values into the theorem, and we will get 24^2+7^2=C^2. Now we just do the basic math for the numbers that we have (24^2 is 576; 7^2 is 49), and that added up would equal to 625. Now, since C is being squared on the other side, we now have to root both sides. On the side where C is, the radical and the square will cancel out each other, leaving us with just C. But, on the side where 625 is, it should root to 25. Since C is by itself now, the number on the other side (25) will be our answer. Therefore, the missing side is 25 feet long.
finding x :8x + 10 - 5x = 15.
Answer:
Here you go! 8x+10-5x!
Just kidding. here you go. x=1.66
Step-by-step explanation:
you can simplifiy the x´s by making it 3x by subtracting. You can also subract 10 from both sides. That leaves you with 3x=5.
x=1.66
Answer:
[tex]\large\boxed{x=\dfrac{5}{3}=1\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]8x+10-5x=15\qquad\text{subtract 10 from both sides}\\\\8x+10-10-5x=15-10\qquad\text{combine like terms}\\\\3x=5\qquad\text{divide both sides by 3}\\\\x=\dfrac{5}{3}[/tex]