Answer:
It's D, x≤-15
what is 6b divided by 2b
the answer is 3b I think
What are the two requirements that make a Polygon?
Answer: Radeon R9 390 graphics card with a Core i5-2300 2.8GHz or FX-6350 processor
Step-by-step explanation:
Answer:
Equiangular and Equilateral
Step-by-step explanation:
I tried
Solve for t
9t=10t+3
t=
Answer:
\(\huge\boxed{t=-3}\)
Step-by-step explanation:
\(9t=10t+3\\\\9t-10t=10t-10t+3\\\\\rightarrow\boxed{-t=3}\\\\\frac{-t}{-1}=\frac{3}{-1}\\\\\boxed{t=-3}\)
in the xy plane, the circles with equations (x-3) + y = 11 and (x+2) + y = r are externally tangent what is the value or r ?
let me know if you know man
In the XY plane, the circles with equations (x-3) + y = 11 and (x+2) + y = r are externally tangent. the value of r is -6.
What is tangent?Generally, To find the value of r, we can start by solving for the centers and radii of the two circles.
The equation of the first circle is of the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. We can rewrite the equation of the first circle as (x - 3)² + y² = 11², so the center of the circle is (3, 0) and the radius is 11.
The equation of the second circle is also of the form (x - h)₂ + (y - k)₂ = r². We can rewrite the equation of the second circle as (x + 2)² + y² = r², so the center of the circle is (-2, 0) and the radius is r.
Since the two circles are externally tangent, the distance between their centers is equal to the sum of their radii. Therefore, the distance between the centers is equal to 11 + r. We can use the distance formula to find the distance between the centers:
distance = √((h₂ - h₁)^2 + (k₂ - k₁)²)
Plugging in the coordinates of the centers, we get:
distance = √((-2 - 3)^2 + (0 - 0)^2) = √(5^2 + 0^2) = √(25) = 5
Since the distance between the centers is equal to the sum of the radii, we can set up the equation:
5 = 11 + r
Solving for r, we get:
r = 5 - 11 = -6
Therefore, the value of r is -6.
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14. -9√24 + 2√600 what is this in simplest form?
Answer:
2√6(Decimal: 4.898979)
Step-by-step explanation:
−9√24+2√600
=2√6(Decimal: 4.898979)
find the product of the given matrices [4 5] [1 2]
The product of the given matrices is \(AB=\left[\begin{array}{ccc}9\\18\end{array}\right]\)
Matrix multiplication is a binary operation that produces a matrix from two matricesThe given matrices are \(A=\left[\begin{array}{ccc}1\\2\end{array}\right]\) and \(B=\left[\begin{array}{ccc}4&5\end{array}\right]\)
To perform product of two matrices, we should make sure that the number of columns in the 1st matrix is equal to the rows in the 2nd matrix
AB=\(\left[\begin{array}{ccc}1\\2\end{array}\right].\left[\begin{array}{ccc}4&5\end{array}\right]\)
\(AB=\left[\begin{array}{ccc}4+5\\8+10\end{array}\right]\)
\(AB=\left[\begin{array}{ccc}9\\18\end{array}\right]\)
Hence, the product of the given matrices is \(AB=\left[\begin{array}{ccc}9\\18\end{array}\right]\)
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Find the sum or type "impossible"
2 -5
+
3 6
The sum of the given expression will be equal to -3.
What is an Algebra?Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.
given expression:
=\(\left[\begin{array}{c}2&3\end{array}\right]\) + \(\left[\begin{array}{c}-5&6\end{array}\right]\)
= \(\left[\begin{array}{c}2 +(-5)&3+6\end{array}\right]\)
=\(\left[\begin{array}{c}-3&9\end{array}\right]\)
hence, the sum of the given expression -3.
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pls help
what is the answer to 2 / 3/4
Answer:2 2/3 or 8/3
Step-by-step explanation:
2/ 3/4 is the same as
2/1 / 3/4
Flip 3/4 to 4/3 so you can multiply
It’ll look like this
2/1 • 4/3
(Top) 2•4=8
(Bottom) 1•3=3
So the answer is 8/3 or 2 2/3
Answer:
\(\frac{8}{3}\)
Step-by-step explanation:
\(\frac{2}{\frac{3}{4} }\)
2 * \(\frac{4}{3}\)
\(\frac{2}{1}\) * \(\frac{4}{3}\)
\(\frac{8}{3}\)
What i the equation of a line that i parallel to the line y =2x 7 and pae through the point -2,4
The equation of a line y=2x+8.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis
Looking at the given line,
y = 2x + 7
Compared with the slope-intercept equation,
Slope, m = 2
If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2
Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes
4 = 2 × - 2 + c
4 = - 4 + c
c = 4 + 4 = 8
The equation becomes y=2x+8.
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39. Write in slope-intercept form the equation of the line containing the point (4, 5) and perpendicular
to the given line y = 6x-1 ( please show work )
Answer:
Slope will be -1/6 (change sign and take the reciprocal) since its perpendicular
Slope intercept form: y=mx+b
5 = -1/6(4) + b
5 = -4/6 + b
5 = -2/3 + b
b = 5+2/3
b = 15/3 + 2/3
b = 17/3 or 5.66
The slope intercept from: y= -1/6x+ 17/3
The average value of the function f(x) =x3e-x4 on the interval [0, 9 ] is equal to
The average value of the function f(x) = x^3e^(-x^4) on the interval [0, 9] is approximately 0.129.
To find the average value of a function on an interval, we need to compute the definite integral of the function over that interval and then divide it by the length of the interval. In this case, we want to find the average value of f(x) = x^3e^(-x^4) on the interval [0, 9].
First, we integrate the function over the interval [0, 9]:
∫[0, 9] x^3e^(-x^4) dx
Unfortunately, there is no elementary antiderivative for this function, so we have to resort to numerical methods. Using numerical integration techniques like Simpson's rule or the trapezoidal rule, we can approximate the integral:
∫[0, 9] x^3e^(-x^4) dx ≈ 0.129
Finally, to find the average value, we divide this approximate integral by the length of the interval, which is 9 - 0 = 9:
Average value ≈ 0.129 / 9 ≈ 0.0143
Therefore, the average value of f(x) = x^3e^(-x^4) on the interval [0, 9] is approximately 0.129.
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The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each haircut. Write an equation that could be used to determine how many haircuts, h, Jenny must give in one day to make $154 after paying rent for her station.
Answer:
50h+25.5=154
Step-by-step explanation:
A retailer was given a trade discount of 15% and cash discount of 6% by the wholesaler. How much did the retailer pay for a good marked for 37450
The retailer paid approximately $29,916.15 for the good after applying both the trade and cash discounts.
To calculate the final amount the retailer paid after the trade and cash discounts, we need to apply the discounts one after the other.
First, the retailer received a trade discount of 15%. This means the retailer only needs to pay 100% - 15% = 85% of the marked price.
So, the amount after the trade discount is 85% of the market price:
Trade discount amount = 0.85 * 37450 = 31832.5
Now, the retailer receives a cash discount of 6% on the remaining amount. This means the retailer only needs to pay 100% - 6% = 94% of the trade discount amount.
So, the final amount after the cash discount is 94% of the trade discount amount:
Cash discount amount = 0.94 * 31832.5 = 29916.15
Therefore, the retailer paid approximately $29,916.15 for the good after applying both the trade and cash discounts.
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t is a positive whole number.
The expression 2f² + 5t + 2 can never have a value that is a prime number.
Can someone PLEASE explain why.
Since the given expression can be factored in the form (2t+1) and (t+2) so 2t² + 5t + 2 cannot be a prime number.
A whole number greater than 1 that has no factor other than 1 and the number itself is called a prime number.
Some examples of prime numbers are 3,11,19 ... all these numbers can only be divided by 1 or the number itself so they are called prime.
In the given expression 2t² + 5t + 2 , it is said that t is positive whole number. So if t is a positive whole number then the expression can be written as another positive whole number.
Now the expression 2t² + 5t + 2 can be factored into two smaller factors.
2t² + 5t + 2
= 2t² + 4t + t + 2
= 2t (t + 2 )+1 (t+2)
= (t+2) (2t+1)
If t is a positive whole number then t+2 is a whole number and 2t+1 is another positive whole number.
Hence these two numbers are factors of 2t² + 5t + 2 . But a prime number does not have any factors.
So 2t² + 5t + 2 is not a prime number.
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R is the midpoint of OP and QR is perpendicular to OP in the diagram below.
Find the length of QR.
17 in
0 24 in
0 16 in
Answer:
24
Step-by-step explanation:
Find the equation(s) of any normals to the
curve y=x+1/x at points where the tangent
is parallel to the line y = -3x.
The equation of the normal to the curve is
( Y - \(e^{-3}\) - 1/\(e^{-3}\) ) / ( X - \(e^{-3}\) ) = 1/3
What is an equation?An equation contains one or more than two terms connected by an equal sign.
Example:
2x + 4y = 88 is an equation.
We have,
Equation of the curve:
y(x) = x + 1/x ______(1)
And,
y = -3x is parallel to the tangent.
This means,
y = -3x is in the form of y = mx + c
So,
Slope = m = dy/dx
m = -3 ______(2)
Now,
y = x + 1/x
dy/dx = 1 + logx
-3 = 1 + logx
-3 - 1 = logx
-3 = logx
\(e^{-3}\) = \(e^{logx}\)
x = \(e^{-3}\) ______(3)
Now,
The equation of the normal.
( Y - y(x) ) / (X - x) = -1/(dy/dx)
So,
From (1), (2), and (3)
( Y - y(\(e^{-3}\)) ) / (X - \(e^{-3}\)) = -1/-3
( Y - (\(e^{-3}\) + 1/\(e^{-3}\)) / ( X - \(e^{-3}\) ) = 1/3
( Y - \(e^{-3}\) - 1/\(e^{-3}\) ) / ( X - \(e^{-3}\) ) = 1/3
Thus,
The equation of the normal to the curve is
( Y - \(e^{-3}\) - 1/\(e^{-3}\) ) / ( X - \(e^{-3}\) ) = 1/3
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A square garden has sides of length 10 ft. If topsoil costs $5 / cubic foot, how much will it cost to put a 0. 5 ft layer of topsoil on the entire garden?
Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.
The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit
Area of a Square = Side × Side.
Therefore, the area of square = Side square units.
Side of a square garden= 10 ft.
Area of a square garden= Side × Side= 10 × 10 =100 square ft.
Cost of the whole garden = 100×$5 =$500
Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5
=$1000
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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000
According to the given statement
we have given that the
side length of the square garden is 10ft.
topsoil cost per foot is $5
And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.
So,
The side length of the square garden is 10ft.
Now, the volume of the cube is (a)^2
And
Total volume of cube = 10*10
Total volume of cube = 100 per square foot.
Now, we find the cost required for a topsoil.
Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost
So,
Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5
Cost required to put a topsoil of 1 foot in the total volume of cube = $5000
if we put a topsoil of 0.5 feet then
The cost required = $5000/0.5
The cost required = $1000.
So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000
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an approximate size which does not represent any of the actual dimensions of the unit is/are
An approximate size which does not represent any of the actual dimensions of the unit is nominal value.
The phrase "nominal number" is said to be quite new and rarely used. It seems to have come from the statistical phrase "nominal data," which is reportedly defined as data revealing "...merely declarations of qualitative category of membership," as it is used in school textbooks. The meaning of the word "nominal" in this use is "name."
Nominal numbering is mathematically a one-to-one and onto function from a set of named objects to a set of numbers, which may change (typically growing) over time. It is a function because each named object is assigned a single number; it is one-to-one because different objects are assigned different numbers; and it is onto because every number in the set at a given time has a single named object associated with it.
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Divide the larger square into 10 equal columns or rectangles. Shade one rectangle. What part of the whole is the shaded rectangle? Write that part as a decimal and a fraction.
Answer:
\(Part=\frac{1}{10}\)
\(Part=0.10\)
Step-by-step explanation:
Given
\(Columns = 10\)
\(Shaded = 1\)
Required
Part of the whole
This is calculated as:
\(Part=\frac{Shaded}{Columns}\)
Substitute \(Columns = 10\) and \(Shaded = 1\)
\(Part=\frac{1}{10}\)
\(Part=0.10\)
Tina says that 7:2 is equivalent to 49:4. What did Tina do wrong?
Answer:
She didn't do her math right.
Step-by-step explanation:
I hope this helps! Please give me brainliest!
Determine if two triangles are congruent. If they are, state how you know.
A: Not enough information.
B: SSS
C: SAS
D: AAS
help me ASAP please!
Answer:
B. SSS
Step-by-step explanation:
The two triangles already have 2 congruent sides, and the only missing thing to see is that they both share the same side with one another. This automatically makes them congruent.
Which points can be connected to draw a line of symmetry through this figure?
Responses
points A and C
points, A, and , F
points, E, and , F
points E and C
The points that can be connected to draw a line of symmetry through the figure shown are: C. points, E, and , F.
What is a Line of Symmetry?A line of symmetry, can be described as any line that divides a figure into two parts, in such a way that the divided parts are identical to each other, which implies that they can be folded onto each other.
A line of symmetry is also called a mirror line or axis of symmetry of a shape. The line simply creates mirror images that are identical to each other when the figure is cut across.
The figure given is a rectangle having the indicated points. If we connect point E to point F, the figure will be divided into equal halves. Therefore, the answer is: C. points, E, and , F
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How do I solve this inequality?
There are 2 cases
1. 5x-2 > 13 ---> x> 3
2. 5x-2 < -13 ----> x< -11/5
What is the set of all elements in the universal set that are not in the set a called?
Complement of set A is the set of all elements in the universal set that are not in the set .
If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.
In this case, A' = x U: x A.
In other words, the complement of a set A is the difference between the universal set and set A.
For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.
A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}
A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.
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IF YOU $80 AND THEN GET $20 MORE,WHAT IS THE PERCENTAGE
Answer:
100% for 100 dollars
Step-by-step explanation:
i think so im not sure
What is the slope of the line that passes through the given points?
(-12,-4) and (11, -10)
Answer:
-6/23
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-10-(-4))/(11-(-12))
m=(-10+4)/(11+12)
m=-6/23
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Help me!!
2. pts) Set up a proportion and soive for
side TV (y):
The required measure of side y = 8
Given : Triangle TUV and triangle XWV are similar
Thus \(\frac{UV}{VW} = \frac{6}{21}\)
this is further equal to \(\frac{2}{7}\)
Thus the ratio UV : VW = 2 : 7
this implies that the ratio TV : VX should also be equal to the ratio of UV : VW = 2 : 7 because of cpst or also called corresponding parts of similar triangles.
Given UV : VW = 2 : 7
thus TV : VX = \(\frac{y}{28 }\) which on equation will give y as 8
because \(\frac{8}{28}\) when divided by 4 will give us the required ratio that is 2 : 7
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can you solve this problem: -12=3x-6
Answer: I think the answer is X= -2
Answer:
-2
Step-by-step explanation:
\(3x - 6 = - 12 \\ 3x = - 12 + 6 \\ 3 x = - 6 \\ x = \frac{ - 6}{3} \\ x = - 2\)
Her u go
Good luck
Please help I’ll give brainliest
For this question, we will need to know that when we divide two numbers with the same base but different exponents, we must subtract the exponents.
\(\dfrac{a^m}{a^n}=a^{m-n}\)
Solving the Question\(\dfrac{9^5}{9^3}\)
Subtract the exponents:
\(9^2\)
Answer\(9^2\)
Find the lateral area of the cone
Answer:
Lateral surface area of the cone is 1005 cm²Step-by-step explanation:
Given :-
Radius of cone = 16 cmHeight of cone = 12 cmTo Find :-
Lateral surface areaSolution :-
As we know that,
LSA of the cone = πrlFinding Slant height:
➝ L = √r² + h²
➝ L = √(16)² + (12)²
➝ L = √256 + 144
➝ L = √400
➝ L = 20 cm
Slant height of cone is 20cmNow,
LSA of the cone = πrlSubstituting the required values,
➝ LSA = 22/7 × 16 × 20
➝ LSA= 7040/7
➝ LSA ≈ 1005 cm²
Hence,
Lateral surface area the of cone is 1005 cm²