Answer:
162/6x
Step-by-step explanation:
15 divided by 1/9 please i just need 15 divided by 1/9
Answer:
135 :)
Step-by-step explanation:
15 divided by 1/9 is equal to 135.
We have,
When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).
This concept is known as "invert and multiply."
By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.
Now,
To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.
15 ÷ (1/9) is the same as 15 * (9/1).
Multiplying these fractions, we get:
15 * (9/1) = 135/1 = 135.
Therefore,
15 divided by 1/9 is equal to 135.
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The sum of two consecutive even integers is -170. Find these numbers.
PLEASE HELP THIS IS DUE AT 11:59PM IS 11:16!HELP HELP
Answer:
Step-by-step explanation:
-127.5 +( -42.5) i really hope this helped im sorry-
What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units
Answer:
42 sq. Units
Step-by-step explanation:
I took the test
The area of the triangle shown below is B. 42 sq. units, the correct option is B.
What is the area of a triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
We are given the parameters are;
Length of its base = b units
Its height = h units long,
Then we get:
Area of a triangle = 1/2 b h
We are given that;
Base= 14, Height= 6
Now,
The area of a right triangle is given by:
Area = (1/2) * base * height
Substituting the values;
Area = (1/2) * 14 * 6
= 42 square units
Therefore, the area of triangle will be 42 sq. units.
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round 18,799 to the nearest ten thousand
Solve the equation for x: 3(x + 2) + 8x = 11x + 7
Step-by-step explanation:
Use the Distributive Property for the left side of the equation.
\(a( b+ c) = ab + ac\)
Use the Distributive Property:
\(3x + 6 + 8x = 11x + 7\)
\(11x + 6 = 11x + 7\)
x has no solution.
(L2) A circle that contains a polygon so that it passes through each vertex of the polygon is a(n) _____ circle.
(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.
A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.
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Simplify the expression
using only positive exponents.
The expression is simplified to y⁹/12x². Option A
What are index forms?The index form of a number is simply described as a number written as an exponential expression.
It is described as a single number raised to another number.
Index forms are also described as standard forms and scientific notation.
From the information given, we have;
3x^⁻⁴y⁵/(2x³y⁻⁷)⁻²
Now, expand the bracket of the denominator and multiply the values
3x^⁻⁴y⁵/2x⁶y⁻¹⁴
Divide the expression , we have;
3/-4 (x^⁻⁴y⁵/2x⁶y⁻¹⁴)
To determine the quotient, subtract the exponents of the denominator from the numerators
3× -4(x⁻⁴⁺⁶y⁵⁻¹⁴)
Now, add or subtract the exponential values, we get;
-12 (x⁻²y⁻⁹)
y⁹/12x²
Hence, the value is y⁹/12x²
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what is the as surface area of the rectangular prism
Answer:
142 sq cm
Step-by-step explanation:
A= 2(lh + wh + lw)
2(7*3+5*3+7*5)
2(21+15+35)
2(71)
A= 142 sq cm
20. In a right triangle a = 16, b= 30, find c. Round to the nearest tenth.
To find the length of the hypotenuse c in a right triangle with legs a = 16 and b = 30, we can use the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the given values, we get:
c^2 = 16^2 + 30^2
c^2 = 256 + 900
c^2 = 1156
Taking the square root of both sides, we get:
c = √1156
c ≈ 34.0 (rounded to the nearest tenth)
Therefore, the length of the hypotenuse c in the right triangle is approximately 34.0 units.
Use the Quadratic Formula to prove each statement.
b. The product of the solutions of the quadratic equation ax²+bx+c = 0 is c/a ,
A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable in the equation is 2. Quadratic equations have a variety of applications in mathematics, physics, engineering, and other fields.
To prove the statement that the product of the solutions of the quadratic equation ax²+bx+c = 0 is c/a using the Quadratic Formula, let's break it down step-by-step:
1. The Quadratic Formula states that the solutions of a quadratic equation in the form ax²+bx+c = 0 are given by:
x = (-b ± √(b²-4ac)) / (2a)
2. Let's substitute these values into the formula and solve for the solutions:
x₁ = (-b + √(b²-4ac)) / (2a)
x₂ = (-b - √(b²-4ac)) / (2a)
3. To find the product of the solutions, we multiply x₁ and x₂:
x₁ * x₂ = [(-b + √(b²-4ac)) / (2a)] * [(-b - √(b²-4ac)) / (2a)]
4. Simplifying the expression, we can apply the distributive property:
x₁ * x₂ = [(-b)² - (√(b²-4ac))²] / (2a)²
x₁ * x₂ = (b² - (b²-4ac)) / (4a²)
x₁ * x₂ = (b² - b² + 4ac) / (4a²)
x₁ * x₂ = 4ac / (4a²)
5. Cancelling out the common factor of 4, we get:
x₁ * x₂ = ac / a²
6. Finally, we can simplify the expression by dividing both the numerator and denominator by a:
x₁ * x₂ = c / a
Therefore, we have proved that the product of the solutions of the quadratic equation ax²+bx+c = 0 is indeed c/a using the Quadratic Formula.
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This means that for any quadratic equation in the form ax² + bx + c = 0, the product of its solutions is equal to c/a.
To prove the statement using the Quadratic Formula, let's start by considering the quadratic equation ax² + bx + c = 0. We know that the quadratic formula can be used to find the solutions (or roots) of this equation, given by:
x = (-b ± √(b² - 4ac)) / (2a)
Now, let's find the product of the solutions using the quadratic formula. We'll denote the two solutions as x₁ and x₂.
The product of the solutions is given by:
x₁ * x₂ = [(-b + √(b² - 4ac)) / (2a)] * [(-b - √(b² - 4ac)) / (2a)]
To simplify this expression, we'll multiply the numerators and the denominators:
x₁ * x₂ = (-b + √(b² - 4ac)) * (-b - √(b² - 4ac)) / (2a) * (2a)
Expanding the numerator by using the distributive property:
x₁ * x₂ = (b² - (b² - 4ac)) / (4a²)
Simplifying the numerator:
x₁ * x₂ = (b² - b² + 4ac) / (4a²)
Cancelling out the b² terms:
x₁ * x₂ = 4ac / (4a²)
Simplifying further:
x₁ * x₂ = c/a
Thus, we have proven that the product of the solutions of the quadratic equation ax² + bx + c = 0 is indeed c/a.
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suppose that you are rolling a six sided dice. let a = even what is p(ac)?
Answer:
1/2
Step-by-step explanation:
When you roll a 6-sided die, there are 6 possible outcomes:
1, 2, 3, 4, 5, 6
3 of the outcomes are even, and 3 of the outcomes are odd.
p(A) = p(even) = 3/6 = 1/2
p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2
1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 0
C.y/x>1
D.x/y<1
2.A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
A.no more than 50
B.no less than 50
C.no less than 45
D.no more than 45
3.It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
A.30 miles per hour
B.56 miles per hour
C.50 miles per hour
D.64 miles per hour
*please make sure you answer all the questions please and thank you.
Answer:
x and y can be any two numbers greater than zero such that y is also greater than x
D.no more than 45
C.50 miles per hour
Step-by-step explanation:
Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .
Suppose we take y= 9 and x= 3 then
9/3 > 1
3>1
Also
3/9 < 1
1/3 < 1
x and y can be any two numbers greater than zero such that y is also greater than x
2. Total weight that can be carried is 3000 pounds.
The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.
The smaller machines weigh 60 pounds
The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.
3. Total distance = Speed * time
= 48 * (40/60) = 32 miles
New distance = 32+ 8= 40 miles
New time = 48 minutes
Speed = distance / time = 40/ 48/60= 50 miles per hour
15. ___________ is a statistic that refers to the proportion of observed variance in a group of individuals that can be accounted for by genetic variance
Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.
Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.
To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.
It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.
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Area of triangle- please help :)
Answer:
\(\approx 45.1\:\mathrm{w/\: some \: MOE}\)
Step-by-step explanation:
The area of \(ABCD\) is comprised of two triangles, so we can find the area of both triangles and add them to get the total area of
Since the sum of the interior angles of a triangle add up to \(180^{\circ}\), we have:
\(\angle C=180-44-38=\fbox{$98^{\circ}$}\).
The Law of Sines is given as:
\(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\) for any triangle.
Therefore, we have the proportion:
\(\frac{\sin 98^{\circ}}{10}=\frac{\sin 44^{\circ}}{BC},\\BC=\frac{10\cdot \sin 44^{\circ}}{\sin 98^{\circ}},\\BC\approx 7.01\).
Now that we have two sides of a triangle and the angle between them, we can use \([\triangle]=\frac{1}{2}ab\sin C\) to find the area of \(\triangle CBD\):
\([CBD]=\frac{1}{2}\cdot 10\cdot 7.01 \cdot \sin 38^{\circ},\\\\\left [CBD]\right\approx 21.58\).
Since \(\triangle ABD\) is a right triangle, we can use basic trig rules for a right triangle to solve for the sides:
\(\sin 55^{\circ}=\frac{AB}{10},\\AB=10\sin 55^{\circ},\\AB\approx 8.19\),
\(\sin 35^{\circ}=\frac{AD}{10},\\AD=10\sin 35^{\circ},\\AD\approx 5.74\).
Therefore, the area of \(\triangle ABD\) is:
\(\frac{1}{2}\cdot 8.19\cdot 5.74\approx 23.49\).
The area of \(ABCD\) is then
\(21.58+23.49=45.07=\fbox{$45.1$}\).
\(\bigstar\) Note that intermediate results were rounded during this calculation. Therefore, there is a small margin of error when rounding to final answer to one decimal place. I recommend plugging in values for yourself using all equations I wrote above, then rounding only your final answer to one decimal place as requested by the problem.
Find a and b such that the function is differentiable everywhere. f(x) x2 -2x+ 2 if x s -2 ax b if x> -2.
the function f(x) is differentiable everywhere when a = -3 and b = 16, and is given by:
f(x) = { x^2 - 2x + 2 if x <= -2
{ -3x + 16 if x > -2
For the function f(x) to be differentiable everywhere, we need the two pieces of the function to "match up" at x = -2, i.e., they should have the same value and derivative at x = -2.
First, we evaluate the value of f(x) at x = -2 using the second piece of the function:
f(-2) = a(-2) + b
Since the first piece of the function is given by f(x) = x^2 - 2x + 2, we can evaluate the left-hand limit of f(x) as x approaches -2:
lim x->-2- f(x) = lim x->-2- (x^2 - 2x + 2) = 10
Therefore, we must have:
f(-2) = lim x->-2- f(x) = 10
a(-2) + b = 10
Next, we need to make sure that the two pieces of the function have the same derivative at x = -2. The derivative of the first piece of the function is:
f'(x) = 2x - 2
Therefore, we have:
lim x->-2+ f'(x) = lim x->-2+ 2a = f'(-2) = 2(-2) - 2 = -6
So, we must have:
lim x->-2+ f'(x) = lim x->-2+ 2a = -6
2a = -6
a = -3
Finally, substituting the values of a and b into the equation a(-2) + b = 10, we get:
-6 + b = 10
b = 16
Therefore, the function f(x) is differentiable everywhere when a = -3 and b = 16, and is given by:
f(x) = { x^2 - 2x + 2 if x <= -2
{ -3x + 16 if x > -2
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The table describes the quadratic function h(x).
x h(x)
−3 6
−2 3
−1 2
0 3
1 6
2 11
3 18
What is the equation of h(x) in vertex form?
h(x) = (x − 2)2 + 3
h(x) = (x − 1)2 + 2
h(x) = (x + 1)2 + 2
h(x) = (x + 2)2 + 3
Assume you are flipping an unbiased coin and that the flipping process is entirely random. A psychic claims that he can sense the outcome of each flip. You put him to the test. You flip the coin 6 times and guess what
Given statement solution is :- If I were to assume the flipping process is entirely random and the coin is unbiased, the chances of correctly guessing the outcome of each flip would be 1 out of 2, or a 50% probability.
If I were to assume the flipping process is entirely random and the coin is unbiased, the chances of correctly guessing the outcome of each flip would be 1 out of 2, or a 50% probability. However, the psychic claims to have the ability to sense the outcome of each flip, which would suggest that he believes he can accurately predict the results.
To put the psychic to the test, you can proceed with flipping the coin six times and ask the psychic to guess the outcome of each flip. After the coin has been flipped, compare the psychic's guesses with the actual outcomes to evaluate the accuracy of their predictions.
Keep in mind that even if the psychic does make correct predictions, it does not necessarily prove their psychic abilities. Random chance can occasionally lead to a streak of correct guesses, even if there is no true psychic ability involved. To draw any meaningful conclusions, a larger sample size or repeated testing would be required.
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The formula S = 2nr + 2nrh is used to find the surface area of a cylinder. Solve this formula for h.
Answer:
h = (S - 2nr) / 2nr
Step-by-step explanation:
S = 2nr + 2nrh
2nrh = S - 2nr
h = (S - 2nr) / 2nr
Identify the graph of the solution set of 13 > 5 + 4x.
The requried graph of the solution of a set of given inequality 13 > 5+ 4x is shown.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given inequality,
13 > 5 + 4x
Simplify the above expression,
Subtract -5 from both sides,
13 - 5 > 5 - 5 + 4x
8 > 4x
Divide by 4 into both sides
2 > x
The graph of the solution to the given inequality is less than 2, and line x = 2 will be a dotted line [value no included in x < 2]
Thus, the graph of the inequality has been shown.
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Please solve this ! 20 Points+Brainest
( a^2÷b^2+1+b^2÷a^2 )
a^2 +1+b^2
— —
b^2 a^2
Answer:
(a^4+b^4)/(a^2b^2)
Step-by-step explanation:
Solve the equation, give the exact solution then approximate the solution to the nearest hundredth if necessary
We solve as follows:
\(\frac{x^2}{3}=49\Rightarrow x^2=147\)\(\Rightarrow\begin{cases}x=7\sqrt[]{3} \\ x=-7\sqrt[]{3}\end{cases}\)We have that the solutions for the problem are x = 7sqrt(3) or x = -7sqrt(3).
order the functions from narrowest to widest please help
The functions are arranged from narrowest to widest as follows
h(x) = 4x^2, g(x) = -2x^2, f(x) = 1/4 x^2How to arrange the functionsA function with a narrower graph has a smaller range of values for its independent variable (typically the x-axis). Here are some ways to identify functions with narrower graphs:
The coefficient of the polynomial, when the coefficient is greater the graph is narrower. The magnitude used here are the absolute values since the sign takes care of whether the graph face up or down.
Considering this we have that
|4| is the narrowest
|-2x| is wide
|1/4| is the widest
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2. The water level of a river was measured each day during a two-week period. The
graph models the linear relationship between the water level of the river in feet
and the number of days the water level was measured.
Water Level of River
The initi
28
Ο Ο Ο
The max
24
20
The wate
16
Water Level (ft)
12
o
The water
CLEAR ALL
4
0
2
4
12
6 8 10
Number of Days
Which statement best describes the y-intercept of the graph?
< PREVIOUS
O 3
Os Oo Or
0.8
HH
Type here to search
O
Step-by-step explanation:
day during a two-week period. The
graph models the linear relationship between the water level of the river in feet
and the number of days the water level was measured.
Water Level of River
The initi
28
Ο Ο Ο
The max
24
20
The wate
16
Water Level (ft)
12
o
The water
CLEAR ALL
4
0
2
4
12
6 8 10
Number of Days
Which statement best describes the y-intercept of the graph?
< PREVIOUS
O 3
Os Oo Or
0.8
HH
Answer:
It is C. The initial water level is 16 ft
Step-by-step explanation:
The Y-intercept goes across 16 lol
HELP PLEASE FAST!!!!!!!!!!1
Answer:
6m-n-3 i think is the answer
Step-by-step explanation:
ANCWER
-6m - n + 3
Step-by-step explanation:
I did this question before
a recipe for chocolate chip cookies cost for a 3 and 1/4 cups of flour you are making 2 and 1/2 recipes how many cups of flours are needed simplify your answer type of a whole number fraction or mixed number the number of cups of flour needed to make 2 1/2 recipes with chocolate chip cookies
Answer:
8 1/8
Step-by-step explanation:
3 1/4 cups per recipe
3 1/4=3.25
2 1/2= 2.5
2.5*3.25
8.125=65/8= 8 1/8
Find the equation of the line use exact numbers y=
I WILL TAKE THE POINTS (0,7) AND (2,1) FROM THW GRAPH AND USE THEM TO GET THE GRADIENT.
\(m \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 7}{2 - 0} \\ m = \frac{ - 6}{2} \\ m = - 3\)
I WILL USE THE POINT (0,7) TO FIND THE VALUE OF C IN THE GENERAL EQUATION.
\(7 = - 3(0) + c \\ c = 7\)
THE EQUATION IS
\(y = - 3x + 7\)
ATTACHED IS THE SOLUTION
What is the domain of this function?
A. {-1, 3, 5)
B. {3}
C. {2, 6, 8}
D. {2, 6, 8, 3, 5)
A. {-1,3,5}
Hope this helps. :))
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
How many hours do unicorns fly for 4 hours
Answer:
24 hours
Step-by-step explanation:
Answer:
4 hours sound good
a right triangle and with AC=10cm and AB=6cm is given what is the area
Answer:
Base = 10
height = 6
Area = 1/2