Answer:
2nd number is correct
Here's your solution
=> 2p(-3p^2 + 4p - 5)
=> multiple 2p with whole
=>. -6p^3 + 8p^2 - 10p
this is your answer
hope it helps
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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8 cupcakes in 1 box = 16 cupcake in X boxes
Answer:
2 boxes
Step-by-step explanation:
8 cupcakes in 1 box = 16 cupcake in x box
We Take
16 ÷ 8 = 2 boxes
So, the answer is 2 boxes.
7 X-4 = *
A) 28
B) 11
C) -11
D) -28
Answer:
7*-4=-28
Step-by-step explanation:
7*-4=-28
500.00
-319.45 = m
Solve for m
Answer:
STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:
-319.45 + 319.45 = m + 319.45
This simplifies to:
0 = m + 319.45
Finally, we can subtract 319.45 from both sides to solve for m:
0 - 319.45 = m + 319.45 - 319.45
-319.45 = m
Therefore, the value of m is -319.45.tep-by-step explanation:
-9(x - 3) = 9(x - 7)
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-9x+27=9x-63
-18x=-90
x=5
Step-by-step explanation:
What is the probability of landing on red and rolling a number greater than 2?
Answer: 1/4 I think
Step-by-step explanation:
PLEASE help ………………….
Answer:
1st Part: Infinitely many solutions
2nd Part: Exactly one solution
3rd Part: No Solutions
Step-by-step explanation:
First Part: 4(x - 1) = 4x - 4
Distribute. 4x - 4 = 4x - 4
Because the equations are the same, any value can be substituted for x and both the equations' values would still be equivalent.
2nd Part:
x + 4 = 4(x + 1)
x + 4 = 4x + 4
Minus 4 both sides
x = 4x
Only 0 can make this equation true, meaning it only has ONE solution.
Third Part:
4x + 1 = 4(x - 1)
Distribute.
4x + 1 = 4x - 1
Subtract 4x both sides
1 = -1
Obviously, 1 and -1 are not equivalent, meaning there are no value that can be substituted for x to make this equation true.
3/5 divided by 21/25
Answer:
0.71428571428
Answer:
5/7 = 0.714285714
Divide 2/5 by 21/25 by multiplying 3/5 by the reciprocal of 21/25
3/5*(25/21)
Multiply
3/ 5 times 25/21 by multiplying numerator times numerator and denominator times denominator.
3 * 25 = 75
5 * 21 = 105
Reduce the fraction
75/ 105 to lowest terms by extracting and canceling out 15.
answer :5/7 0r 0.714285714
Hopefully i helped :)
Can somebody check my answer
Answer:
(-4, -3)
Step-by-step explanation:
That's Correct!
x + 4 shifts the origin 4 left
y + 3 shifts the origin 3 down
(-4, -3)
Find the slope of each line.
Answer:
Step-by-step explanation:
slope is rise over run or y over x
Let m be the slope
On this case, simply count the units for both x and y from tip to tip of the line segment
m = y/x
direction of the line is up and right so the sign is both positive
m = 4/1
m = 4
m = y/x
direction of the line is down and right so y is negative and x is positive
m = -3/4
Central limit theorem works because if the sample size is sufficiently large, then the theory assumes the majority of the observations from the sample will be
Answer: normally distributed and will have a mean that will be approximately equal to the population mean.
Step-by-step explanation: The central limit theorem tries to show that regardless to the variables in a statistical distribution,the sample mean will tend toward approximating the mean of the population for sufficiently large sample size, a sample size or observations that are greater than or equal to 30 is sufficiently large enough.
The theorem helps to understand that as the sample size increases the chances of getting a sample mean that is approximately Equal to the population mean will be high, and the variance will continue to reduce.
r=2-2sin(theta) table of values
This table provides the values of r for different values of theta (in degrees) ranging from 0 to 180.
To create a table of values for the equation r = 2 - 2sin(theta) can select various values of theta and calculate the corresponding values of r using the given equation.
Let's use a range of theta values and compute the corresponding r values:
Theta (θ) | r = 2 - 2sin(θ)
0 | 2 - 2sin(0) = 2 - 2(0)
= 2
30 | 2 - 2sin(30) = 2 - 2(0.5)
= 1
60 | 2 - 2sin(60) = 2 - 2(0.866)
= 2 - 1.732
= 0.268
90 | 2 - 2sin(90) = 2 - 2(1)
= 2 - 2
= 0
120 | 2 - 2sin(120) = 2 - 2(-0.866)
= 2 + 1.732
= 3.732
150 | 2 - 2sin(150) = 2 - 2(-0.5)
= 2 + 1
= 3
180 | 2 - 2sin(180) = 2 - 2(0)
= 2 - 0
= 2
in(θ) is evaluated using the values of sine for the corresponding angles.
The table may not be exhaustive and additional values can be calculated using the same process if desired.
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Deb cut 25 feet of rope into pieces that were each 1/4ft long. How many of these pieces did Deb have after cutting the rope?
Answer:
100 pieces of rope
Step-by-step explanation:
Solve for the unknown. q- 5/6=1 5/6
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
Can someone help me with this is the hardest one by far
Answer:
10 units
Explanation:
Create a right triangle, determine the a and b side lengths of the triangle by looking at the graph. (See image)
Then use the Pythagorean theorem to find c.
a² + b² = c²
(8)² + (6)² = c²
64 + 36 = c²
100 = c²
Square root both sides to get c.
\(\sqrt{100}\) = c
10 = c
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
Hope this helps!
Given the lines are parallel, find the value of x.
Answer:
x = 7Step-by-step explanation:
52 = 5x + 17
52 - 17 = 5x
x = 35 / 5
x = 7
A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.
Answer:
\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)
Step-by-step explanation:
To calculate the margin of error for the survey, we need to use the formula:
\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)
The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:
\(\large \text{Range of values = 32\% - 22\% = 10\%}\)
Substituting this value into the formula, we get:
\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)
Therefore, the margin of error on the survey is 5%.
A triangle with an area of 1,152 square meters was created from a triangle with an area of 4.5 square meters using a scale factor. What is the scale factor?
72:1
16:1
128:1
5,184:1
A triangle with an area of 1,152 square meters was created from a triangle with an area of 4.5 square meters using a scale factor so the scale factor is 16:1.
How to calculate the scaler factor?The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths. Let the scale factor be x, then:
(x)^2 * 4.5 = 1,152
Simplifying the equation gives:
x^2 = 1,152/4.5
x^2 = 256
Taking the square root of both sides, we get:
x = 16
Therefore, the scale factor is 16:1.
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Answer:
A triangle with an area of 1,152 square meters was created from a triangle with an area of 4.5 square meters using a scale factor so the scale factor is 16:1.
Step-by-step explanation:
a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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select all the Transformations that preserve angle measure and segment lengths
Transformations that preserve angle measure and segment lengths are:
• similarity
,• translation
,• rotation
,• reflection
,•
Eva sees a dolphin 3.2 meters below sea level and a bird 47/10 meters above sea level. Which of the following expressions represents the vertical distance between the dolphin and the bird?
Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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3. Complete the statement: When a whole number greater than 1 has a
negative integer exponent, the value of the expression is greater than what
but less than what
When a whole number greater than 1 has a negative integer exponent, the value of the expression is greater than zero but less than one.
How to deal with a negative exponent?The standard format of an exponential expression is given as follows:
\(a^b\)
In which:
a is the base.b is the exponent.When we have a negative exponent, the equivalent expression with a positive exponent is obtained inverting the base.
If we have a positive base greater than one to a negative exponent, we invert the base, meaning that it is less than one with a positive exponent, hence the value of the expression is greater than zero but less than one.
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for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:
Example 1:
Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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2,983,562 to the nearest hurdreth
Answer:
2,983,562 if you mean hundredth
if to the nearest hundred then 2,983,600
Step-by-step explanation:
5t+7+8b
I need also help on -2(x+3)=_-6
The solution to the equation -2(x + 3) = -6 is x = 0.
To simplify the expression 5t + 7 + 8b, we can combine like terms.
There are two like terms in the expression: 5t and 8b.
Combining the like terms gives us:
5t + 8b + 7
Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.
Regarding the equation -2(x + 3) = -6:
To solve this equation, we can follow these steps:
Distribute the -2 to the terms inside the parentheses:
-2 * x + (-2) * 3 = -6
This simplifies to:
-2x - 6 = -6
Move the constant term to the right side by adding 6 to both sides of the equation:
-2x = 0
Divide both sides of the equation by -2 to isolate the variable x:
x = 0 / -2
Simplifying the right side of the equation gives us:
x = 0
The solution to the equation -2(x + 3) = -6 is x = 0.
The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.
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I really need help with this. Can anyone help me please?
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
3,-2+2i
Thank you!
Answer:
f(x) = x³ + x² - 4x - 24Step-by-step explanation:
Since one of zero's is complex number, its conjugate should also be a zero of the given polynomial.
The conjugate of -2 + 2i is -2 - 2iThe polynomial is going to be:
f(x) = (x - a)(x - b)(x - c) with minimum of degree 3, with zero's a, b and c.Substitute zero's:
f(x) = (x - 3)(x - (-2 + 2i))(x - (-2 - 2i)) = (x - 3)(x² - x (-2 + 2i -2 - 2i) + (-2 + 2i)(-2 - 2i)) = (x - 3)(x² + 4x + 8) = x³ + x² - 4x - 24When Louis Brandeis graduated from Harvard Law School, he immediately established a
reputation in Boston as an attorney who would accept cases
Later appointed