Answer:
3/2
Step-by-step explanation:
the answer is 3/2 because you take the slope by using the equation y/x. I did this problem by starting prop the point (0,-6). I then counted for how many points I went up, how many did I go to the right or left. If it went to the right it’s positive, to the left it is negative. In this case it went to the right 2 times every time it went up 3. Meaning 3/2
What is the product of the cube root of x squared times the 4th root of x cubed
Answer:
x^7/12
Step-by-step explanation:
The question asks what is x^1/3 * x^1/4
x^1/3 * x^1/4
Now with those exponents we can already see that we have the same BASE (x)!! That saves a lot of time.
From there all we do is add the exponents
x ^(1/3 +1/4)
common denominator
x ^(4/12 + 3/12)
x^(7/12)
Answer:
Step-by-step explanation:
Before we do anything, we need to write this question from written form into expression form.
"The product of the cube root of x squared times the 4th root of x cubed" is:
\((\sqrt[3]{x^{2}})(\sqrt[4]{x^{3} } )\)
The best way to solve this is if you know the properties of exponents. The first thing to do is to convert these square roots and squares into exponents using the fractional exponent rule:
\(a^{\frac{m}{n} } =\sqrt[n]{a^{m} }\)
\(= (x^{\frac{2}{3} } )(x^{\frac{3}{4} } )\)
Now, we can combine these two using the product rule:
\((a^{m} )(a^{n} )=(a^{m+n} )\)
\(= x^{\frac{2}{3} } + x^{\frac{3}{4} } = x^{\frac{17}{12} } or \sqrt[12]{x^{17} }\)
use the formula for future value A=P( 1 + rt ) and elementary algebra to find the missing quantity. A= $2,176 r = 7% t= 4 years
Solution
For this case we have the following info:
A= 2176$ represent the present value
r= 7% = 0.07
t= 4 years
Replacing into the formula:
\(A=P(1+rt)\)We got:
\(A=2176(1+0.07\cdot4)=2785.28\)then the answer would be:
2785.28$
An isosceles triangle whose sides are 5cm, 5cm and 6cm is inscribed in a circle. Find the radius of the circle.
Answer:
To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:
r = (a/2) * cot(π/n)
where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.
In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:
6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)
36 = 50 - 50cos(x)
cos(x) = (50 - 36)/50
cos(x) = 0.28
x = cos^-1(0.28) ≈ 73.7°
Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:
(5/2)^2 + h^2 = 5^2
25/4 + h^2 = 25
h^2 = 75/4
h = sqrt(75)/2 = (5/2)sqrt(3)
Now we can find the radius of the inscribed circle using the formula:
r = (a/2) * cot(π/n)
where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:
r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm
Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.
Higher Order Thinking Emil has $1 and a quarter. Jade has 5 quarters. If Emil gives Jade $1 and Jade gives Emil 4 quarters, will they each still have the same amount of money? Explain.
Answer:
Yes
Step-by-step explanation:
I'm not good with explanations but, $1 = 4 quarters, so Emil and Jade
subtracted $1 from each pile and then added $1 to each pile.
Since they subtracted and added the same amounts to each
pile, the piles are equal in value.
Yes, both of them will have the same amount after exchanging the money.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Emil has $1 and a quarter. Jade has 5 quarters. If Emil gives Jade $1 and Jade gives Emil 4 quarters.
The amount can be balanced as below,
$1 = 4 quarters
E + 4 Quarters = J + $1
E + $1 = J + $1
Hence, both will have the same amount.
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(a)(-5a)
I have to find the product and simplify the answer. Can anyone please help me?
Answer:
-5a*a^2
Step-by-step explanation:
(a)(-5*a)
-5a*a^2?
Please help me if you can
Answer:
517x
Step-by-step explanation:
the product of a number and 517 is 517x
517 × x = 517x
(x +y )(x -y), if x = -3, y=-5
PLS NO FILES OR I AM REPORTING YOU
Answer:
-16
Step-by-step explanation:
(X + Y)
= (-3 + -5)
= -8
(X - Y)
= (-3 - -5)
= 2
Because they're still in brackets in this form:
(-8) (2)
You multiply them both and you'll get the answer:
-16
hope this helped!
I need help I don't understand it
Radicals and Exponents. Tutorial Use the properties of exponents to simplify the expression. (y 3/2 x-1/2)4 =
I NEED HELP 30 POINT!!
Answer:
35
Step-by-step explanation:
You can easily graph this in desmos for a visual understanding.
The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.
Instant brainliest please help.
Answer:the second one
Step-by-step explanation:
Triangle with sides of 7 and 9. What is the longest length the third side can be?
Answer:
7
Step-by-step explanation:
The triangle ABC is an isosceles triangle. What are each of the congruent base angles if the vertex angle measures 40 degrees?
Therefore the solution to the given problem is the each of the congruent base angles is 70°
What is angle?In Euclidean geometry, an angle is the figure generated by two rays, called the sides of the angle, sharing a common termination, called the vertex of the angle. Angles created by two rays are in the plane where the rays are located. The intersection of two planes also forms angles. We refer to these as dihedral angles.
Here,
As the triangle is an isosceles triangle therefore it will have 2 same angles
thus,
Sum of the 3 angles of a triangle=180°
Vertex angle =40°
Sum of two congruent angles=180°–40°=140°
Measure of each base angle=70°
Therefore the each of the congruent base angles is 70°
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How can you compare two or more fractions so as to arrange them in ascending or descending order?
There are two ways to arrange them in ascending or descending order.
The first way is to convert them into similar fractions (if they are not similar fractions yet), and arrange them in the order that you like.
\(\begin{gathered} \text{Example} \\ \frac{2}{3},\frac{1}{2},\frac{3}{4} \end{gathered}\)Convert them to similar fractions, by getting their LCD and we have
\(\begin{gathered} \text{LCD}(2,3,4)=12 \\ \frac{2}{3}=\frac{8}{12} \\ \frac{1}{2}=\frac{6}{12} \\ \frac{3}{4}=\frac{9}{12} \end{gathered}\)We can now arrange them based on their numerators
\(\begin{gathered} \text{Ascending} \\ \frac{6}{12},\frac{8}{12},\frac{9}{12}\Longrightarrow\frac{1}{2},\frac{2}{3},\frac{3}{4} \\ \\ \text{Descending} \\ \frac{9}{12},\frac{8}{12},\frac{6}{12}\Longrightarrow\frac{3}{4},\frac{2}{3},\frac{1}{2} \end{gathered}\)Another way to arrange them is to get their decimal equivalent, and arrange them accordingly
\(\begin{gathered} \text{Example} \\ \frac{2}{3}=0.67 \\ \frac{1}{2}=0.5 \\ \frac{3}{4}=0.75 \\ \\ \text{Ascending} \\ 0.5,0.67,0.75\Longrightarrow\frac{1}{2},\frac{2}{3},\frac{3}{4} \\ \\ \text{Descending} \\ 0.75,0.67,0.5\rightarrow\frac{3}{4},\frac{2}{3},\frac{1}{2} \end{gathered}\)△TOPtriangle, T, O, P is rotated − 18 0 ∘ −180 ∘ minus, 180, degrees about the origin. Draw the image of this rotation
A graph of the resulting triangle after a rotation of -180° about the origin is shown below.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point T (6, 0) → Coordinates of point T' = (-6, 0)
Coordinates of point O (-2, -5) → Coordinates of point O' = (2, 5)
Coordinates of point P (-2, 5) → Coordinates of point P' = (2, -5).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
find surface area of cilinder with the radius of 9 and height of 14. make sure to put the correct exponents with answer.
The cylindrical has a surface area of 414 square units due to its 9-unit radius and 14-unit height.
what is cylinder ?A cylinder is a three-dimensional geometric form made up of two circular bases that are parallel to one another and are joined by a curved lateral surface. It can be pictured as a solid item with a constant circular cross-section along its entire length. The measurements of a cylinder, such as the radius and height of the circular bases, affect its characteristics. The surface area, volume, and horizontal surface area of a cylinder are some of its typical characteristics. Mathematical formulas can be used to determine these properties.
given
The following algorithm determines a cylinder's surface area:
\(A = 2\pi r^2 + 2\pi rh\)
where r is the cylinder's base's radius, h is the cylinder's height, and (pi) is a mathematical constant roughly equivalent to 3.14.
Inputting the numbers provided yields:
\(A = 2\pi (9)^2 + 2\pi (9)(14)\\\)
A = 2π(81) + 2π(126)
A = 162π + 252π
A = 414π
The cylindrical has a surface area of 414 square units due to its 9-unit radius and 14-unit height.
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Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 171 in. Find the dimensions of the cylindrical package of greatest volume that may be sent via priority mail. (Hint: The length plus the girth is 2r + l.)
r =
l =
volume =
If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.
Given that,
The combined length and girth of a priority mail package cannot exceed 171 inches, according to postal standards.
We have to find calculate the size of the largest volume, cylindrical container that can be sent via priority mail.
We know that,
Let
Length= Breadth =x
Height=y
Volume can be written as
V=x²y
Now,
Combined length and girth is
7x+y=171
y=171-7x
V(x)=x²(171-7x)
V(x)=171x²-7x³
Differentiating with respect to x.
V'(x)=343x-21x²
The maximum value
V'(x)=0
343x-21x²=0
7x(49-3x)=0
x=0
and
49-3x=0
3x=49
x=49/3
Once again differentiating with respect to x.
V''(x)=343-42x
V''(x)=343-42(0)=343>0(min)
V''(x)=343-42(49/3)=-343<0(max)
The maximum volume is
Vmax=V(49/3)=(49/3)(171-7(49/3))
Vmax=925
Therefore, If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.
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what do we mean by "Elegance Of Mathematical Proof"?
Answer:
Mathematical beauty is the aesthetic pleasure typically derived from the abstractness, purity, simplicity, depth or orderliness of mathematics.[1] Mathematicians often express this pleasure by describing mathematics (or, at least, some aspect of mathematics) as beautiful. They might also describe mathematics as an art form (e.g., a position taken by G. H. Hardy[2]) or, at a minimum, as a creative activity. Comparisons are often made with music and poetry.
Write a positive or negative and Integer that represents the situation. You withdraw $42 for an Account
Please help me i need help.
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
PLZ HELP MEEEEEEE I'LL MARK BRAILIEST
Answer:
D
Step-by-step explanation:
Please mark brainliest
hope it helps
Answer:
D
Step-by-step explanation:
I just know
In the word PARADISE,how many pairs are there which have as many letters between them in the word as in the alphabet?
Answer:
three
P A R
A R A D
A D I S E
P Q R
A B C D
A B C D E
There are three such pairs of letters.
Classify the figure. Select all that apply. A quadrilateral D rhombus B rectangle E trapezoid © parallelogram 6 square
Answer:
Quadrilateral, Trapezoid, and Parallelogram, I think
4x^2=x+3
Solve by factoring
Show your work please!
Answer:
x = - \(\frac{3}{4}\) , x = 1
Step-by-step explanation:
4x² = x + 3 ← subtract x + 3 from both sides
4x² - x - 3 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × - 3 = - 12 and sum = - 1
the factors are - 4 and + 3
use these factors to split the x- term
4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(4x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
4x + 3 = 0 ( subtract 3 from each side )
4x = - 3 ( divide both sides by 4 )
x = - \(\frac{3}{4}\)
x - 1 = 0 ( add 1 to both sides )
x = 1
solutions are x = - \(\frac{3}{4}\) , x = 1
Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?
Question 3.13R:
Which of the following are equivalent exponential function(s) to f(x)=(4/7)^−x
The equivalent function of the exponential function is (a) f(x) = (7/4)ˣ
How to determine the equivalent function?From the question, we have the following function that can be used in our computation:
f(x) = (4/7)^-x
This function can be properly expressed as
f(x) = (4/7)⁻ˣ
Solving further, we need to apply the exponent law of indices
This is represented as
a⁻ˣ = 1/aˣ
When the above rule is applied, we have
f(x) = 1/(4/7)ˣ
Evaluate the quotient
f(x) = (7/4)ˣ
Hence, the equivalent is (a) f(x) = (7/4)ˣ
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Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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in the diagram below ,segment A'B' is the image of segment AB after a rotation by 103 degrees counterclockkwise about point C. Which segments below, when drawn, would not have to be the same length
Answer:
2
Step-by-step explanation:
Find the surface area of the box shown