or There are 40 bags filled with coins. There are 23 coins in each bag. How many coins are there in all?
Answer: 920 coins
Step-by-step explanation:
We can simply multiply 40 by 23
40 × 23 = 920.
Instead of doing 23 + 23 + 23, 40 times.
We can simply do multiplication.
Multiplication is repeated addition.
Answer:
920 total coins.
Step-by-step explanation:
To solve for the total number of coins, we can use this equation:
number of bags × coins per bag = total number of coinsInserting the numbers into the equation:
40 × 23 = 920Therefore, there are 920 coins total.
I need help with this question
Answer:
x=400-
+6y/2
Step-by-step explanation:
The equation starts as: 2x+6y=400
Now we have to get x by itself:
2x+6y=400
-6y -6y
2x=400+6y
÷2 ÷2 ÷2
x=(400÷2)+(6y÷2)
x=200+3y
(Note: This problem is asking for the "unsimplified version" so the answer is 400+6y/2)
(x-9)(×+4)=168 solve for xI just need reminded how to do the x-9 * x+4 please
The given expression is
\((x-9)(x+4)=168\)To solve the product, we have to use the distributive property
\(x^2+4x-9x-36=168\)Then, we move all the terms to the left side to combine like terms
\(\begin{gathered} x^2+4x-9x-36-168=0 \\ x^2-5x-204=0 \end{gathered}\)Now, we use the quadratic formula to find the solutions
\(x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Where a = 1, b = -5, and c = -204. Let's replace these values
\(\begin{gathered} x_{1,2}=\frac{-(-5)\pm\sqrt[]{(-5)^2-4(1)(-204)}}{2(1)} \\ x_{1,2}=\frac{5\pm\sqrt[]{25+816}}{2}=\frac{5\pm\sqrt[]{841}}{2} \\ x_{1,2}=\frac{5\pm29}{2} \end{gathered}\)There are two solutions
\(\begin{gathered} x_1=\frac{5+29}{2}=\frac{34}{2}=17 \\ x_2=\frac{5-29}{2}=\frac{-24}{2}=-12 \end{gathered}\)Hence, the solutions are x = 17, and x = -12.x/7=2
2x/3=8
7x-10=11
9x+2=20
pls give a step-by-step answer
ITS URGENT
Answer:
x=14
Step-by-step explanation:
x/7=2
7 x x/7 = 7x2
The common stock and debt of Android Corp. are valued at $50 million and $27 million, respectively. Investors currently require a 18% return on the common stock and a 3% return on the debt. There are no taxes.Calculate the weighted average cost of capital. Enter your answer as a percentage rounded to two decimal places. Do not include the percentage sign in your answers.
The weighted average cost of capital for Android Corp. is 12.41%.
First, calculate the weight of each source of capital:
- Common stock: $50 million / ($50 million + $27 million) = 0.65
- Debt: $27 million / ($50 million + $27 million) = 0.35
Next, calculate the cost of each source of capital:
- Common stock: 18%
- Debt: 3%
Finally, calculate the weighted average cost of capital using the following formula:
WACC = (weight of common stock x cost of common stock) + (weight of debt x cost of debt)
WACC = (0.65 x 0.18) + (0.35 x 0.03)
WACC = 0.117 + 0.0105
WACC = 0.1275 or 12.41%
Hence the wieght weighted average cost of capital for Android Corp. is 12.41%.
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13 × 6 + 11
Which of the following is equal to the expression listed above?
A.
11 × 13 + 6
B.
6 × 13 + 11
C.
6 × 11 + 13
Answer:
Your answer is B
Step-by-step explanation:
6 x 13 +11 = 89
13 x 6 + 11 = 89
TRUE
Answer:
Anwer is B
Step-by-step explanation:
13×6+11=89
so 6×13+11=89
so the true answer is B
3x – 4y = 2; 6x – 8y = 1 .
How many solutions PLEASE
Answer:
No solution
Step-by-step explanation:
3x - 4y = 2
6x - 8y =1
Multiply the first equation by -2 so you can eliminate the x's.
-2(3x-4y =2)
6x - 8y = 1
-6x + 8y = 2
6x - 8y = 1
Add the equations so they cancel.
0 + 0 = 3
0 \(\neq\) 3, therefore there are no solutions.
Subtract 2x^2 - 8 from 5x^2 + 3x - 4.
To subtract one expression from the other we:
\((2x^2-8)-(5x^2+3x-4)\)We take out the parenthesis and start to solve:
\(2x^2-8+5x^2-3x+4\)Notice that all the signs in the second parenthesis changed because there was a minus sign before the parenthesis. We add similar components:
\(7x^2-3x-4\)Please help it’s due tomorrow!
how many sets of 5 students can be selected out of 30 students?
Answer:
142 506
Step-by-step explanation:
here the order does not matter
Then
we the number of sets is equal to the number of combinations.
Using the formula :
the number of sets is 30C5
\(C{}^{5}_{30}=\frac{30!}{5!\left( 30-5\right) !}\)
\(=142506\)
There are 142506 ways in which 5 students can be selected out of 30 students.
How can a certain number of individuals be selected using a combination?The selection of 5 students out of 30 students can be achieved with the use of combination since the order of selection is not required to be put into consideration.
By using the formula:
\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)
where;
n = total number of individual in the set = 30r = number of chosing individuals to be selected = 5\(\mathbf{^nC_r = \dfrac{30!}{5!(30-5)!}}\)
\(\mathbf{^nC_r = \dfrac{30!}{5!(25)!}}\)
\(\mathbf{^nC_r = 142506}\)
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Find an angle that is positive, less than 360° , and coterminal with 395° . Subtract 360° 360 ° from 395° 395 ° .
Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.
Subtract 360° from 395°.
We know that 1 revolution is equal to 360°.
Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.
When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.
In other words, the two angles have the same initial side and terminal side but can be either positive or negative.
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the sum of 8 and -13.
Answer:
-104 is the answer .....
7 1/8 convert into a decimal and put the steps
Answer:
Step 1: Multiply the whole number by the denominator: 7 × 8 = 56.
Step 2: Add the product you got in Step 1 to the numerator: 56 + 1 = 57.
Step 3: Divide the sum from Step 2 by the denominator: 57 ÷ 8 = 7.125.
Step-by-step explanation:
Answer:
7.125
Step-by-step explanation
Which is the preferred measure of spread for a data set with outliers?
interquartile range
mean
range
median
Answer:
A, or IQR, Inquartile range
<3 Hope this response isn't too late! Good Luck!
Edge 2020-2021
Rebecca is sharing a pizza with some friends. Below is an Image of how she cuts the pizza.
AE is a diameter of the 20 in pizza!
a) If rebecca wants the biggest piece which one would she choose ( name it by its arc)? Be careful the image may not be drawn to scale
b) Rebecca loves stuffed crust!! She decides to figure out the length of cheese in her piece of the crust ( hint find the arc length
Answer:
a) The piece of pizza she should choose is BE
b) The length of the cheese in her piece of the crust is approximately 20.07 inches
Step-by-step explanation:
The given diameter of the pizza, AE = 20 in.
The measure of the arc AB, \(m\widehat{AB}\) = ∠ACB = 65°
The measure of the arc DE, \(m\widehat{DE}\) = ∠DCE = 110°
Given that AE is the diameter of the circular pizza, we have;
\(m\widehat{BE}\) = ∠BCE = 180° - ∠ACB = 180° - 65° = 115°
Similarly;
∠ACD = 180° - ∠DCE = 180° - 110° = 70°
a) The biggest piece of pizza is the piece with the largest angle which is the piece formed by arc BE, \(m\widehat{BE}\) = 115°
The piece of pizza she should choose is the piece, BE
b) Arc length = (Arc angle)/360 × (Circumference of the circle)
The circumference of the circular pizza, C = π × Diameter = π × length \(\overline {AE}\)
∴ C = π × 20 in.
The arc length of the arc BE = 115/360 × π × 20 = 115·π/18 ≈ 20.07
The length of the cheese in her piece of the crust, l = The arc length of the arc BE ≈ 20.07 inches.
can someone please help me
Answer:
-6, 14, -26, 10x -4, -8x + -2x - 6
Step-by-step explanation:
So F(x) is setting that the values before the lines are equal to x and should be applied to the problem. Dont forget PEMDAS with these tho, they'll try to trick u like that.
So for the first one, f(0) you plug 0 where the x's are.
1.) 8(0)^2 +2(0) -6
0 + 0 - 6 = -6
2.) 8(2) +2(2) - 6
16+ 4-6= 20 - 6= 14
3.) 8(-2) + 2(-2) -6
-16 + -4 -6 = -26
On the ones where they leave the x there, you just have to leave the x. But don't forget distribution tho.
4.) 8(x+1) +2(x+1) -6
8x +8 + 2x + 2 -6
10x +10 -6 = 10x -4
5.) 8(-x) + 2(-x) -6
-8x + -2x -6
Step-by-step explanation:
the given function is f(x) = 8x² + 2x -6
f(0) = 8(0)² + 2(0) -6 = -6
f(2) = 8 (2)² + 2 (2) - 6 = 30
f(-2) = 8 (-2)² + 2 (-2) - 6 = 22
f (x+1) = 8(x+1)² + 2 (x+1) -6
= 8(x² +2x +1 ) + 2x -4
8x² + 16x +8 +2x -4 = 8x² + 18x + 4
f(-x) = 8(-x)² + 2 (-x) - 6
= 8x² -2x -6
A square sheet of paper has area $15. The front side is white and the back side is black. A corner of the sheet is lifted and placed so that the crease is at a $45 angle. If the fold is such that the visible black area is equal to the visible white area, how many centimeters long is the crease?
The length of the crease is √10cm
How to determine the lengthTo determine the length of the crease, we have;
Let the equal sides of the black triangle = x = length of the fold
From the information given, we have the area of the square is 15cm²
Then, we have;
The area of this triangle = (1/2)x² = x²/2
Substitute the value and we get that the length of one side of the square is:
= √15 cm
For the whit area = x ( √15 -x) + √15 ( √15 - x)
= (x + √15) (√15 - x)
= -x² + 15
Since the two areas are equal, we have;
x²/2 = -x² + 15
add x² to both sides
3x² / 2 = 15
multiply both sides by 2/3
x² = 10
take the positive root of both sides
x = √10cm
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Can u help me plsssssssss
Answer:
the solution is usually where the arrows touch, so it should be (8,-4)
Step-by-step explanation:
In ΔL M N, m ∠ L=67°, m ∠ N=24° , and M N=16 in. Find L M to the nearest tenth.
Answer:
LM ≈ 7.1 in
Step-by-step explanation:
using the Sine rule in Δ LMN
\(\frac{l}{sinL}\) = \(\frac{n}{sinN}\)
where l is the side opposite ∠ L , that is MN
n is the side opposite ∠ N , that is LM
\(\frac{LM}{sin24}\) = \(\frac{MN}{sin67}\) , that is
\(\frac{LM}{sin24}\) = \(\frac{16}{sin67}\) ( cross- multiply )
LM × sin67° = 16 × sin24° ( divide both sides by sin67° )
LM = \(\frac{16sin24}{sin67}\) ≈ 7.1 in ( to the nearest tenth )
The demand function for a christmas music cd is given by q=0. 6(3800-p^2)
The expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a demand function:
q=0. 6(3800-p²)
Differentiate with respect to p:
\(\rm \dfrac{dq}{dp} = -1.2p\)
We know the elasticity:
\(\rm E(p) = \dfrac{dq}{dp}\times\dfrac{p}{q}\)
\(\rm E(p) =-1.2p \times\dfrac{p}{0.6(3800-p^2)}\)
\(\rm E(p) = -\dfrac{2p^2}{(3800-p^2)}\)
Here the data for p and q are not given, but we can find any value using the above expression by putting the known data.
Thus, the expression E(p) represents the elasticity at point p and by putting the known data we can find the value of elasticity.
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9. Which of the following is the interquartile range of the data set shown below?
(1) 5.5
(2) 7
(3) 10.5
(4) 21
19, 22, 25, 28, 28, 32, 32, 32, 34, 40
Answer:
21
Step-by-step explanation:
Given the following function: f ( x ) = 8 x 2 − 16 a. Factor completely. b. What are the x -intercepts. c. What is f ( − 1 ) d. What is the domain and range? e. Find the inverse of the function. f. What is the domain and range of the inverse? g. What is the relationship between the domains and range of a function and its inverse? h. Will the domain and range of all functions and their inverses follow this same pattern?
Answer: a. We can factor the quadratic function f (x) = 8 x^2 - 16 as follows: f (x) = 8 x^2 - 16 = 8 (x^2 - 2) = 8 (x - √2)(x + √2).
b. The x-intercepts of f (x) occur when x = 0, so the x-intercepts are at x = √2 and x = -√2.
c. To find f (-1), we simply plug in -1 for x in the equation f (x) = 8 (x - √2)(x + √2) to get f (-1) = 8 (-1 - √2)(-1 + √2) = 8 (-1 - √2)(-1 - √2) = 8 (-2 - 2√2) = -64 - 64√2.
d. The domain of f (x) is the set of all real numbers, since the quadratic equation f (x) = 8 (x - √2)(x + √2) is defined for all real values of x. The range of f (x) is also the set of all real numbers, since the quadratic equation can produce any real value for f (x) given a real value of x.
e. The inverse of f (x) is denoted as f^(-1)(x), and it is defined as the function that "undoes" the original function. In other words, if we apply the inverse function to the result of the original function, we should get back the original input. For example, if we apply the original function f (x) to some value x, and get the result y, then applying the inverse function to y should give us x back. In this case, the inverse of f (x) is the function f^(-1)(x) = (1/8) x + √2.
f. The domain of the inverse function f^(-1)(x) is the range of the original function f (x), and the range of the inverse function is the domain of the original function. In this case, the domain of f^(-1)(x) is the set of all real numbers (since the range of f (x) is the set of all real numbers), and the range of f^(-1)(x) is also the set of all real numbers (since the domain of f (x) is the set of all real numbers).
g. The relationship between the domain and range of a function and its inverse is that the domain of the inverse is the range of the original function, and the range of the inverse is the domain of the original function.
h. Not all functions and their inverses will have the same relationship between their domains and ranges. For example, a function that is defined only for a certain range of values (such as a square root function, which is only defined for non-negative values of x) will have a restricted domain, and its inverse will have a corresponding restricted range.
A student plans to enroll at the university and plans to continue there until earning a PhD degree (a total time of 9 years). If the tuition for the first 4 years will be $7,200 per year and it increases by 5% per year for the next 5 years, what is the present worth of the tuition cost at an interest rate of 8% per year?
The present worth of the tuition cost for a student planning to enroll at the university for 9 years, with the first 4 years costing $7,200 per year and a 5% annual increase for the next 5 years, can be calculated at an interest rate of 8% per year. The present worth is $23,455.297.
To calculate the present worth of the tuition cost, we need to consider the time value of money, which accounts for the fact that money in the future is worth less than money in the present. We can use the concept of present value to determine the worth of future cash flows in today's dollars.
For the first 4 years, the tuition cost is constant at $7,200 per year. To find the present value of these cash flows, we can use the formula for the present value of a fixed cash flow series. Applying this formula, we find that the present value of the first 4 years' tuition cost is
\(7,200 + 7,200/(1+0.08) + 7,200/(1+0.08)^2 + 7,200/(1+0.08)^3.\)
For the next 5 years, the tuition cost increases by 5% per year. We can use the concept of future value to calculate the value of these cash flows in the last year of the 9-year period. Applying the formula for future value, we find that the tuition cost in the last year is \($7,200*(1+0.05)^5.\)
Finally, we can sum up the present value of the first 4 years' tuition cost and the future value of the tuition cost in the last year to obtain the total present worth of the tuition cost for the 9-year period.
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What is Bodmas fraction?.
Answer: Simplification of Fractions.
Step-by-step explanation:
Chas and Tyler have been collecting video games. Chas has 25 video games, and Tyler has m video games. Together they have a total of 65 video games.
Even though there is no question I assume you want know what m is. In that case m=40 meaning Tyler has 40 video games which btw is a lot of video games.
Which modern art style/movement does the work best fit?
(a.) fauvism
(b.) abstract
(c.)cubism
(d.)surrealism
The work best fits the art movement of abstract. Abstract art is characterized by the use of shapes, forms, colors, and gestural marks that are not meant to represent specific objects or subjects in a realistic manner.
It emphasizes the visual elements of art, such as line, color, and composition, and often focuses on expressing emotions or conveying abstract concepts. The work in question likely displays non-representational elements, with emphasis on the arrangement of shapes, colors, and forms to create a visual impact that is not tied to recognizable objects or scenes.
In the given work, the absence of identifiable objects or subjects suggests a departure from realistic representation. Instead, the emphasis is placed on the arrangement of abstract elements, such as bold colors, dynamic lines, and geometric shapes. These elements are likely employed to evoke emotions, convey concepts, or explore the purely visual aspects of art. The use of abstraction allows for subjective interpretation and encourages viewers to engage with the work on a more personal and imaginative level. Therefore, the work aligns most closely with the abstract art style or movement.
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T/F: a yo-yo has an outer radius and an inner radius where the string attaches. the inner radius is 2cm and the outer radius is 8 cm.
The statement that a yo-yo has an outer radius of 8cm and an inner radius of 2cm is true.
A yo-yo typically has a circular body with an outer radius and an inner radius where the string attaches. The inner radius is the distance from the center of the yo-yo to where the string is tied, while the outer radius is the distance from the center to the outer edge of the yo-yo. In the case of the yo-yo in question, the inner radius is given as 2cm and the outer radius is given as 8cm.
It is important to note that the difference between the outer and inner radii affects the way the yo-yo behaves during play. The larger the difference between the two radii, the more stable the yo-yo will be during tricks. Additionally, the thickness of the yo-yo body and the weight distribution also play a role in how the yo-yo performs. Overall, the geometry of the yo-yo is an important factor to consider when choosing and using a yo-yo for different types of tricks and styles of play.
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Two moles of nitrogen gas are contained in an enclosed cylinder with a movable piston. If the gas temperature is 298 K, and the pressure is 1.01 ´ 106 N/m2, what is the volume? (R = 8.31 J/mol×K)
The volume of the nitrogen gas enclosed in a cylinder with a movable piston is approximately 0.0049 m³.
To calculate the volume of the nitrogen gas in the cylinder, we can use the ideal gas law equation: PV = nRT.
Where:
P = Pressure (1.01 × 10⁶ N/m²)
V = Volume (unknown)
n = Number of moles (2 moles)
R = Ideal gas constant (8.31 J/mol×K)
T = Temperature (298 K)
Now, rearrange the equation to solve for V:
V = nRT / P
Plug in the given values:
V = (2 moles × 8.31 J/mol×K × 298 K) / (1.01 × 10⁶ N/m²)
V ≈ 0.0049 m³
The volume of the nitrogen gas in the cylinder is approximately 0.0049 m³.
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x^2 + 4x - 12 help ..
(X - 2) (x + 6) is the answer
Level B
In a football game, a team can score 2 points on a safety, 3 points on a field goal, 6 points on a touchdown, and 1 point on a conversion after a touchdown.
1. How many different ways can you score 24 points? Show all the ways.
Answer:
BRAINLIEST PLEASE!!!!!!!!
Step-by-step explanation:
There are 10 different ways to score 24 points in a football game:
12 safeties (2 points each)
8 field goals (3 points each)
4 touchdowns (6 points each)
3 touchdowns and 2 safeties
3 touchdowns and 1 field goal
2 touchdowns and 4 field goals
2 touchdowns, 3 field goals, and 1 safety
1 touchdown, 6 field goals, and 1 safety
1 touchdown, 5 field goals, and 3 safeties
7 field goals and 2 safeties