Answer:
70
Step-by-step explanation:
8 choose 4: 8!/(4!*4!)=70
Answer:
1680
Step-by-step explanation:
the order matters so 8P4
Please help with this question!
Answer:
NONE of these statements are true
[tex] \frac{d}{dx} (f(x).g(x)) = f'(x).g(x) + g'(x).f(x)[/tex]
b) False[tex] \frac{d}{dx} ( \sqrt{x {}^{2} + x} ) {}^{2} = \frac{2x + 1}{2 (\sqrt{x {}^{2} + x}) {}^{2} } = \frac{2(2x + 1)(x {}^{2} + x) }{2|x²+x|} = \frac{(2x + 1)(x { }^{2} +x)}{|x²+x|} [/tex]
Im assuming this is an absolute valuec) True[tex] \frac{d}{dx} ( \sqrt{f(x)} ) = \frac{f'(x)}{2 \sqrt{f(x)} } [/tex]
Option CWhen one organism gains a benefit at the expense of a second organism and causes them harm is called:
A. patasitism
B. Mutualism
C. Commensalism
D. Predation
When one organism gains a benefit at the expense of a second organism and causes them harm is called:
A. Parasitism
B. Mutualism
C. Commensalism
D. Predation
Answer:
Step-by-step explanation:
a
possible roots math related olds helppp
In accordance with the Ferrari's method, all the roots of the quartic polynomial are complex numbers.
What kind of roots does a quartic polynomial have?
By fundamental theorem of algebra quartic polynomials have four roots. Based on characteristics of the quadratic formula, use for the solution of quadratic polynomials, there are three possible sets of roots:
All roots are real numbers.Two roots are real numbers and two roots are complex numbers.All roots are complex numbers.There are several methods to solve quartic polynomials. In this case, we decide to use the Ferrari's method to determine all roots of the polynomial:
[tex]x_{1} = \frac{1 + i \sqrt{3}}{2}[/tex], [tex]x_{2} = \frac{1 - i\,\sqrt{3}}{2}[/tex], [tex]x_{3} = - \frac{5}{3} + i\,0.471[/tex], [tex]x_{4} = -\frac{5}{3} - i\,0.471[/tex]
All the roots of the quartic polynomial are complex numbers.
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Can someone help me solve this currently stuck on it please do explain how you get the answers properly Thank you!
Area of semi circle + area of rectangle!
please help and thank you
Answer: 138.63 mm²
Step-by-step explanation:
First, we will solve for the area of the rectangle.
A = L * W
A = 15 mm * 5 mm
A = 75 mm²
Next, we will solve for the area of the semi-circles. Since there are two equivalent semi-circles, I will find the area of one circle with the same radius as these two.
First, we need to find the radius.
15 mm - 3 mm - 3mm = 9mm, 9 mm / 2 = 4.5 mm
A = πr²
A = π(4.5)²
A ≈ 63.62 mm²
Lastly, we will add them together.
75 mm² + 63.62 mm² = 138.63 mm²
Find the shaded area. Round to the nearest 10th, if necessary.
Answers:
16 cm²
24 cm²
40 cm²
Step-by-step explanation:
The area of a rectangle can be found with A = L * W where A is the area, L is the length, and W is the width.
[1] First shaded area
A = L * W
A = (4 cm) * (12 cm - 5 cm - 3 cm)
A = (4 cm) * (4 cm)
A = 16 cm²
[2] Second shaded area
A = L * W
A = (2 cm) * (12 cm)
A = 24 cm²
Lastly, we add them together.
16 cm² + 24 cm² = 40 cm²
Find the circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j , 0 ≤ t ≤ 2π
The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is 2π ∫₀ (cos t sin t - sin t cos tj)dt = 0
Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.
The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.
r (t) = cost i + sin t j = dr( sin ti + cos t)dt
F = -xi -yj = -costi - sin tj
Flux = F .dr = [tex]\int\limit2n^0_b {-costi - sin tj} \, dx[/tex]j)-( sin ti + cos t)dt
[tex]\int\limit2n^0_b {-costi - sin tj} \, dx[/tex] -( sin ti + cos t)dt
2π ∫₀ (cos t sin t - sin t cos tj)dt = 0
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What is the answer ?
∠ADB + ∠BDC = ∠ADC
39° + (3x - 4) = 8x + 5
3x - 4 = 8x + 5 - 39
3x - 4 = 8x - 34
34 - 4 = 8x - 3x
5x = 30
x = 6
∠ADC = 39° + (3(6) - 4) = 39 + 14 = 53°
Hope it helps!
an irrational number is one that simply can not be worked into any equation.
true or false
Answer:
it can be use in equation
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic.
Part D Now use GeoGebra to measure the length of each side of ABC, and use those lengths to calculate the perimeter of ABC. Do you get the same result that you obtained in part C? Take a screenshot of your work, and paste it be
FROM EDMENTUM.........Using Coordinates to Compute Perimeters and Areas: Tutorial
The perimeter of quadrilateral ABCD will be 26 units.
How to illustrate the perimeter?It should be noted that we want to measure the length of each side of ABC, and use those lengths to calculate the perimeter of ABC.
This will be 10, 5, 5, and 6. Therefore the perimeter will be the addition. This will be:
= 10 + 5 + 5 + 6
= 26 units.
This also was identical to the result gotten. This is attached below.
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help help help help me please
12 in.
14 in.
14 in.
Find the area of the figure above.
[?] square inches please explain how you got the answer for future questions
Answer:
168 square inches
Step-by-step explanation:
A = BH
or
Area = Base x Height
In other words multiply 12 and 14.
At a school 45% of the students are boys; 30% of the boys and 40% of the girls play soccer. What percentage of the whole school plays soccer?
The percentage of the whole school that plays soccer is 35.5%
How to determine the percentage of the whole school plays soccer?The percentage of the boys is given as
Percentage boys = 45%
This means that the percentage of the girls is given as
Percentage girls = 55%
Also, from the question, we have:
30% of the boys and 40% of the girls play soccer
So, the percentage of the whole school that plays soccer is
P = Boys * Percentage Boys + Girls * Percentage Girls
This gives
P = 45% * 30% + 55% * 40%
Evaluate the product
P = 13.5% + 22%
Evaluate the sum
P = 35.5%
Hence, the percentage of the whole school that plays soccer is 35.5%
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A bag has marbles labeled ‘4’ and ‘7’ and a spinner has 3 options, What is the probability of drawing a number less than 8 or spinning a 4?
Answer:2
Step-by-step explanation:
im just guessing
The answers are :
P (Drawing a number < 8) = 1
P (Spinning a 4) = 0
There are only 2 numbers in the bag, 4 and 7, both of which are less than 8. Hence, as it is a sure event, the probability of the event is 1.
There are only 3 numbers on the spinner, 1, 2, and 3. As 4 is not on the spinner, it is an impossible event, hence the probability of the event is 0.
NASA launched another space probe, Voyager 2 on August 20, 1977. Voyager 2 is a bit slower than Voyager 1 only traveling 15.4 km/s (34,449 miles per hour). Voyager 2 is 19.3 billion kilometers or 1.93 x 10^10 km (1.2 billion miles) away from the Earth. How many years will it take Voyager 2 from its location to travel to the second closest star (Proxima Centauri) which is 4.24 light years away from Earth? Include all your calculations in your answer. Recall that a light year is 9.5 x 10^12 kilometers.
Using proportions, it is found that it will take Voyager 2 82,900 years from its location to travel to the second closest star.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the Voyager 2 travels 15.4 km/s. In kilometers per year, considering that one hour has 3600 seconds, the measure is given by:
15.4 x 365 x 24 x 3600 = 485,654,400 km/year.
The distance to Proxima Centauri in km is given by:
d = |1.93 x 10^10 km - 4.24 x 9.5 x 10^12 km| = 4.02607 x 10^13 km.
Hence the time in years is given by:
t = d/v = 4.02607 x 10^13/485,654,400 = 82,900.
It will take Voyager 2 82,900 years from its location to travel to the second closest star.
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The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-values are the number of bacteria. how many bacteria are there initially? 0 2.7 2.8 4
There are (A) 2.7 bacterias initially.
What is a function?A function is an expression that establishes the relationship between the dependent and independent variables.A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depends on another quantity.To find the number of bacteria:
The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ). The starting number of bacteria is then 2.7.Therefore, there are (A) 2.7 bacterias initially.
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The correct question is given below:
The growth of a strain of bacteria can be modeled by
the function graphed, where the x-values are the time
in seconds and the y-values are the number of
bacteria. How many bacteria are there initially?
(A) 2.7
(B) 2.8
(C) 4
Answer:
mine was b 2.7
Step-by-step explanation:
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
[tex]-4\leq x[/tex] is what it looks like simplifed. In word form this means x is greater than all values equal to or greater than four. This means that the FOURTH graph is correct.
Step-by-step explanation:
[tex]13-2x\leq 37+4x = -24\leq 6x.[/tex]
Simplify this into [tex]-4\leq x[/tex] or [tex]x\geq -4[/tex]
This in words translates into x is greater than or equal to the value of four. Meaning all values larger than 4 and 4 are equal to x
Meaning the 4th graph is correct because it shows exactly what the word form says.
-------------------------
Have a great day,
Nish
Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle. y = ex, y = x2 − 1, x = −1, x = 1
[tex]e-\frac{1}{e} +\frac{4}{3} 0r 3.687[/tex] is the value when the equation is to integrate with respect to x or y
we integrate with respect to x
Area = [tex]\int\limits^b_a{(f(x)-g(x))} \, dx[/tex]
= [tex]\int\limits^1_-1{e^{x}-x^{2} +1 } \, dx[/tex]
=[tex]e^{x} -\frac{x^{3} }{3} +x[/tex]
substitute 1 and -1 in place of x
= [tex](e-\frac{1}{3}+1-\frac{1}{e} -\frac{1}{3} +1)[/tex]
= [tex]e-\frac{1}{e} + \frac{4}{3} or 3.6837[/tex]
The diagram was attached in the given below.
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i just need explanations on how to solve this. i have an upcoming test. please help.
[tex]\frac{3x}{6y} x\frac{7}{12y}[/tex]
The product of the given expression is 7x/24y²
Product of fractionsGiven the product of the fractions below
3x/6y * 7/12y
Simplify
x/2y * 7/12y
Multiply the numerator and denominator to have:
7x/24y²
Hence the product of the given expression is 7x/24y²
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The SkyWheel has a diameter of 183 feet. What is the radius? (don't round and just write the numerical answer, no units)
Answer:
The answer is
→ 91.5 feet
Step-by-step explanation:
Given:
183 feet
What were supposed to find:
The radius of the SkyWheel
Solve:183 / 2 = 91.5
How to find the radius:
To find the radius, you must divide 183 with 2, giving 91.5
Hence, the answer you are looking for is 91.5
- ✨7272033Alt✨What are the restricted values for x2−3x−2−4y⋅2x−2−xy2+2y2?
The restricted values in (x^2 - 3x - 2)/-4y * (2x - 2)/(-xy^2 + 2y^2) are x ≠2 and y ≠ 0
How to determine the restricted values for the function?The complete question is added as an attachment
The equation is given as:
(x^2 - 3x - 2)/-4y * (2x - 2)/(-xy^2 + 2y^2)
Set the products of the denominators to 0
-4y * (-xy^2 + 2y^2) = 0
Split the equation
-4y = 0 or (-xy^2 + 2y^2) = 0
Remove the bracket
-4y = 0 or -xy^2 + 2y^2 = 0
Divide both sides by -4 in -4y = 0
y = 0
Factor out y^2 in -xy^2 + 2y^2 = 0
y^2(-x + 2) = 0
This means that y^2 = 0 or -x + 2= 0
This gives y = 0 or -x + 2 = 0
Solve for x in -x + 2 = 0
x = 2
Hence, the restricted values in (x^2 - 3x - 2)/-4y * (2x - 2)/(-xy^2 + 2y^2) are x ≠2 and y ≠ 0
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1/2 to the 2nd power in fraction form
Answer: [tex]\frac{1}{4}[/tex]
Work Shown:
[tex]\left(\frac{1}{2}\right)^2 = \left(\frac{1}{2}\right)*\left(\frac{1}{2}\right) = \frac{1*1}{2*2} = \frac{1}{4}[/tex]
find unknown angles, value of 'x' and unknown sides:
What is the area of this figure?
14 km
8 km
9 km
8 km
5 km
4 km
4 km
4 km
The Area of the composite figure as shown in the image below is: 105.57 km².
What is the Area of a Composite Figure?Referring to the diagram given below, the shape can be decomposed into one rectangle, one square, and one quarter circle.
The area of the composite figure = area of rectangle + area of square + area of quarter circle.
Area of the Rectangle = length × width
Length = 12 km
Width = 7 km
Area of the Rectangle = 12 × 7
Area of the Rectangle = 84 km²
Area of the square = (s)²
s = 3 km
Area of the square = 3²
Area of the Rectangle = 9 km²
Area of the quarter circle = 1/4(πr²)
r = 4 km
Area of the quarter circle = 1/4(π × 4²)
Area of the quarter circle = 12.57 km²
Area of the composite figure = 84 + 9 + 12.57
Area of the composite figure = 105.57 km².
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PLS HALP ASAP
A vertical slice through a three-dimensional solid produces a two-dimensional shape.
tall rectangle
Which one of the following solids can produce this two-dimensional shape when sliced vertically?
Answer:
the answer is B
a 3d rectangle slided vertically can produce a 2d rectangle
A substance is tested and has a ph of 7.0. how would you classify it? a. a strong acid b. a strong base c. a weak acid d. neutral
A substance is tested and has a Ph of 7.0. It would be a weak acid.
The correct option is (c) a weak acid .
What is the nature of substance if the pH is less than 7?
Acidity is defined as pH below 7. More than 7 pH is considered basic. Each whole pH number below 7 is ten times more acidic than the next higher value since the pH scale is logarithmic. For instance, pH 4 is 100 times (10 times 10) more acidic than pH 6, while pH 5 is ten times (10 times) more acidic than pH 4.What is pH?
The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.Learn more about pH
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10. A circular Harkness table is placed in a comer of a room so that it touches both walls. A mark is made on the
edge of the table, exactly 18 inches from one wall and 25 inches from the other wall. What is the radius of the
table?
The radius of the table can be either 13 inches or 73 inches.
How to estimate the radius of the table?Let the radius of the table be r inches and the corner be the origin.
The coordinates of the center of the table exist (r, r).
The equation for the circumference of the table exists (x−r)²+(y−r)²=r².
The mark at the edge of the table exists 18 inches from one wall and 25 inches from the other wall. Therefore, the coordinates of this point exist (18, 25). It could also be (25, 18) but it does not make any difference to our estimations.
As the mark exists on the edge, it meets the requirements of the equation of the circumference of the table.
(18−r)² + (25−r)² = r²
324−36r+r²+625−50r+r² = r²
r²−86r+949 = 0
(r − 13)(r − 73) = 0
r = 13 inches and r = 73 inches
Therefore, the radius of the table can be either 13 inches or 73 inches.
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How to do 8+(-3)+(-2) three diffrent ways on a number line?
3 ways of computing the sum on the number line are:
Start at 8, then move 2 units to the left, then move 3 units to the left.Start at -3, then move 8 units to the right, then move 2 units to the left.Start at -2, then move 3 units to the left, then move 8 units to the right.How to do the sum in three different ways on a number line?
Here we have the sum:
8 + (-3) + (-2)
The first way of doing the sum in a number line is starting on the first number, which is 8.
Then, we move 3 units to the left, to the 5.Then, we move other 2 units to the left, to the 3.Now, we also can think the sum as:
(-3) + 8 + (-2)
So now we can start at the value -3, then move 8 units to the right, and then 2 units to the left.
Or think the sum as:
(-2) + (-3) + 8
So we start at -2, then we move 3 units to the left, and finally 8 units to the right.
So the different ways of computing the sum on a number line depends on where we start.
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Name a pair of vertical angles
Name a pit of adjacent angles
If m
Can someone help I’m confused I never learned this
Answer: Vertical: angles ABF and DBE. Adjacent: angles ABC and CBD
Step-by-step explanation:
vertical angles are angles that share a common point. they are right across from each other, and in this case, share point B. adjacent angles are angles that are directly next to each other, and share a line or segment. in this case, the two angles share the segment BC. hope this helps.
Please use elimination method to solve
The answer is x = 4, y = -1 or (4, -1).
We are given :
2x + 7y = 13x + 4y = 8Multiply the 1st equation with 3 and 2nd equation with 2.
3. 3(2x + 7y) = 3(1) ⇒ 6x + 21y = 3
4. 2(3x + 4y) = 2(8) ⇒ 6x + 8y = 16
Now, subtract : Equation 3 - Equation 4.
6x + 21y - 6x - 8y = 3 - 1613y = -13y = -1Substitute in the 1st equation.
3x + 4(-1) = 83x - 4 = 83x = 12x = 4Answer:
(4, - 1 )
Step-by-step explanation:
2x + 7y = 1 → (1)
3x + 4y = 8 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate x
6x + 21y = 3 → (3)
- 6x - 8y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 13y = - 13
13y = - 13 ( divide both sides by 13 )
y = - 1
substitute y = - 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 7(- 1) = 1
2x - 7 = 1 ( add 7 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
solution is (4, - 1 )
Daria pays x dollars for a pair of shoes. the tax on shoes is 5%. the expression representing her total cost is x+0.05x.
witch expression is equivalent and why?
A 1.05x because adding $5 to the cost of the shoes is the same as multiplying the cost by 1.05
B 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05
C x(0.05) because the cost of the shoes can be factored out
D 1.5x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.5
The expression which represents Daria's total cost is; 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05
PercentageAmount paid for shoes = $xTax = 5%Total cost = x + (5% of x)
= x + (0.05 × x)
= x + (0.05x)
Total cost = 1.05x
Therefore, the correct answer is; 1.05x because adding 5% to the cost of the shoes is the same as multiplying the cost by 1.05
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