Which relation has a domain of (2, 4) and a rang of (2, 8)
A (2, 4) (2,8)
B (2, 2) (2,8) (4,2)
C{(2,4)(8,2)(8,4)}
D{(2,2)(2,4)(4,2)(8,8)}
Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.
The equation is y−
Answer:
Step-by-step explanation:
Okay, so the point-slope form is
(y - y1) = m(x - x1)
Where m = the slope of the line
and where (x1, y1) is a point on the line
So, if the slope is 6, then m = 6
Now, you plug that and the point (4, -9) into the equation above.
(y -(-9)) = 6(x - 4)
y + 9 = 6(x - 4)
This is the point slope form of the line
the arithmetic mean between a and 10 is 30. find the value of a ?
Answer:
20
Step-by-step explanation:
Arithmetic mean = sum of value÷Number of value
=10+30=40÷2=20
Let E be the region bounded cone z = â 6 â ( x 2 + y 2 ) and the sphere z = x 2 + y 2 + z 2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E.
Answer:
Step-by-step explanation:
The legs of a right triangle are √5 feet and square root √11 feet long. How long is the hypotenuse?
[tex]v^{2}[/tex]Answer:
4 feet long
Step-by-step explanation:
Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
In this problem, a and b are the legs of the triangle, while c is the hypotenuse
Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:
5 + 11 = [tex]c^{2}[/tex]
Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.
Math experts please simplify this thank you
Answer:
t+4 / t-4
Step-by-step explanation:
(t^2 - 16) / (t^2 -8t +16)
=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)
by formula a^2 - b^2 = (a+b)(a-b)
= (t+4)(t-4) / (t-4)^2
= (t+4)(t-4) / (t-4)(t-4)
= t+4 / t-4
SUBIECTUL I
1. 1p Să se determine primul termen al unei progresii aritmetice (an
)n≥1 știind că rația este
egală cu 5 și suma primilor zece termeni ai progresiei este egală cu 245.
2. 1p Să se determine punctele de intersecție ale graficului funcției
f: R → R, f (x) = x
2 − 7x + 12, cu axele de coordonate.
3. 1p Să se determine numărul real a pentru care vectorii
u⃗ = (a − 2)i + (3a − 1)j și v = 2i +4j sunt coliniari.
4. 1p Să se calculeze ctg x, știind că sin x =
√3
2
, x ∈ (0, 90°
).
5. 1p Să se determine soluțiile reale ale ecuației 49x+2 = 7
x
2+5
.
6. 1p Să se rezolve ecuația : Ax
2+Cx
2 = 0, x∈ N , x≥ 2.
SUBIECTUL II
1 Se consideră matricea A(a) = (
1 0 √a
1 0 1
a 1 1
), unde a ∈ (0, ∞).
a) 0.5p Arătați că det(A(4)) = 1.
b) 0.5p Demonstrați că det(A(a) ∙ A(1) − A(a + 1)) > 0, pentru orice a ∈ (0, ∞).
2. Pe mulțimea de numere reale se definește legea de compoziție asociativă
x ∘ y = √3(xy + 4) − 3(x + y).
a) 0.5p Arătați că √3 ∘ 2 = √3.
b) 0.5pDemonstrați că x ∘ y = √3(x − √3)(y − √3) + √3, pentru orice numere reale x și y.
SUBIECTUL III
1 0.5p Se consideră funcția f: R → R, f(x) = e
2x
(x − 5).
Arătați că f
′
(x) = e
2x
(2x − 9), x ∈ R .
2. 0.5p Se consideră funcția f: R → R, f(x) =
x
√x
2+1
.
Arătați că ∫ f(x)√x
2 + 1
2
0
dx = 2.
Answer:
there was a tipikal answers of this question
What is 953 divided by 6
Answer
158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)
Step-by-step explanation:
I wasn't sure if you wanted a fraction, so I put two forms of the answer.
7. Tell whether the sequence is arithmetic. If it is, identify the common difference. (I point)
19.8. -3, -14,
Not arithmetic
Arithmetic, common difference is -11
Arithmetic, common difference is 5
Arithmetic, common difference is 17
Answer:
Arithmetic, common difference is -11
Step-by-step explanation:
19, 8, -3, -14
common difference = d = 8 - 19 = -11
-3 - 8 = -11
-14 - (-3) = -11
Arithmetic, common difference is -11
Please answer the question in the image
Answer:
I don't know i just need the points
Nghiệm của Phương trình sĩn= -1
Answer:
sinx=−1⇔x=−π2+k.2π,k∈Z ( mà ông người VN đúng không =)))
Step-by-step explanation:
Jessica has 23,450 stickers in her sticker collection. Her sister has 20,993 stickers in her collection. Who has the most stickers?
Answer:
Jessica (23,450 stickers)
The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle
Answer:
2 ( 2y + 5 )
Step-by-step explanation:
→ Take out 2 as a factor
2 ( 2y + 5 )
Answer:
A = 2(2y + 5)2 and 11 (when y = 3)Step-by-step explanation:
The area equation is:
A = lwGiven:
A = 4y + 10This can be factored as:
A = 2(2y + 5)Let y = 3, then the dimensions are:
2 and 2*3 + 5 = 11What is the volume of a cylinder in cubic feet of a cylinder with a height of 3ft and a base diameter of 18ft, round to the nearest tenths place
Answer:
763.4 ft^3 to the nearest tenth.
Step-by-step explanation:
The base radius = 1/2 * 18 = 9 ft.
The volume = π r^2 h
= π * 9^2 * 3
= 763.407 f^3.
9. The height of a triangle is 3 inches less than twice the length of its base. If the total area
of the triangle is 7 square inches, then find the lengths of the base and height.
Check the picture below.
[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]
[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]
The angle of depression from the top of a cliff to a
nearby town is 12 degrees. If the top of the cliff is
277 feet above the town, how far is the town from
the base of the cliff?
Round your answer to the nearest tenth of a foot
Answer:
Step-by-step explanation:
d = 277/tan12 = 1,303.1825... m = 1.3 km
The nearest tenth of a foot, the distance from the town to the base of the cliff is approximately 1337.3 feet.
The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
The angle of depression is 12 degrees, and the side opposite the angle is the height of the cliff (277 feet), while the side adjacent to the angle is the distance from the town to the base of the cliff (which we want to find).
Let's denote the distance from the town to the base of the cliff as "d."
The tangent of the angle of depression is given by:
tan(12°) = opposite / adjacent
tan(12°) = 277 / d
Now, solve for "d":
d = 277 / tan(12°)
Using a calculator:
d ≈ 1337.25 feet
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This graph gives Selma's distance from home over time What does the slope of the line show in this situation? 20 18 16 Select from the drop-down menus to correctly complete each statement 14 12 Distance from home (miles) 100 For this situation, the slope of the line represents 81 60 Choose 40 20 The slope is Choose... which means that Selma's distance 0 from home Choose... by Choose... miles per hour.
Answer:
The amount Selma's distance from home changes per unit of time.
The slope is 38, which means that Selma's distance from home increases by 38 miles per hour.
Step-by-step explanation:
I just took the the test in k12 and I got it right.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. Selma's distance from home increases by 38 miles per hour.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points from graph are (2, 91) and (4,167)
x₁=2,y₁=91,x₂=4, y₂=167
Substitute in the formula
167-91/4-2
76/2
38
The amount Selma's distance from home changes per unit of time.
So slope is 38, which means that Selma's distance from home increases by 38 miles per hour.
Hence Selma's distance from home increases by 38 miles per hour.
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helppppp meeeeeeeeeeeeeeeeeeeeeee
Answer:
D 104
Step-by-step explanation:
A and b are too small to have $71 left. C is also not enough if he had $71 left.
Patient”s wt: 60 lbs Medication order: 0.5 mg/kg Stock medication : 10 mg/mL, How many mL will you give them?
Answer:
Needs 13.6077 mg/mL, but they have in stock only 10 mg/mL, so will be short 3.6077 mg/dL.
Step-by-step explanation:
1 lb= 0.45359 kg
60lbs converted to kg= 60lb = 27.2154 kg
Medication order 0.5 mg x kg = 0.5 mg x 27.2154 kg = 13.6077 mg/mL
In stock only 10 mg/mL= 13.6077 mg/mL - 10 mg/mL= 3.6077 mg/mL
Will be short 3.6077 mg/mL
Solve: m = 5 – (-10).
Answer:
m=15
Step-by-step explanation:
There are 6 yellow, 9 blue, and 4 orange balls inside an urn. 8 balls are chosen from the urn without replacement. Let X, Y , and W denote the number of yellow, blue, and orange balls selected, respectively.
(a) Find P{X + W = 1}.
(b) Find P{X = 2, Y = W}
Using the probability concept, it is found that:
a) P{X + W = 1} = 0
b) P{X = 2, Y = W} = 0.0667
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the balls are chosen is not important, hence, the combination formula is used to find the number of outcomes.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In total, 8 balls are chosen from a set of 19, hence:
[tex]T = C_{19,8} = \frac{19!}{8!11!} = 75582[/tex]
Item a:
1 from a set of 15.7 from a set of 4.Not possible, hence:
P{X + W = 1} = 0
Item b:
2 from a set of 6.3 from a set of 9.3 from a set of 4.Hence:
[tex]D = C_{6,2}C_{9,3}C_{4,3} = \frac{6!}{2!4!} \times \frac{9!}{3!6!} \times \frac{4!}{3!1!} = 5040[/tex]
Then, the probability is:
[tex]p = \frac{D}{T} = \frac{5040}{75582} = 0.0667[/tex]
P{X = 2, Y = W} = 0.0667
A similar problem is given at https://brainly.com/question/15536019
what would the numerical answer be??
Answer:
Step-by-step explanation:
Which term from the drop-down menu makes the statement true?
Select Choice triangles are similar.
A list of choices that appears on a computer screen when a person clicks on the menu title To print the document click on print in the file drop down menu
the numbers one through 10 are written on individual cards and place in a bag. If you reach into the bag to pull out card what is the probability that it will be a 7
Answer:
1 in 10 chance
Step-by-step explanation:
There are 10 cards, so since you reach into the bag and pull out only 1 card, there is a 1 in 10 chance.
find the derivative of (Cosx/1+sinx)^5
Use the Chain Rule:
[tex]\frac{d}{dx} [f(g(x))] = f'(g(x)) * g'(x)[/tex]
Given Information:
[tex]f(x) = x^5\\ g(x) = \frac{cos(x)}{1} +sin(x)\\ f(g(x)) = ( \frac{cos(x)}{1} +sin(x))^5\\ \\ f'(x)=5x^4\\ g'(x)=\frac{-sin(x)}{1} + cos(x)\\f'(g(x))*g'(x)=5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]
The answer is:
[tex]5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]
Find the surface area of the sphere.
Answer:
R is 4*Pi*R2
negative two B subtracted by C plus four B plus three C
Answer:
First we should make this word problem into an equation.
. * (_poof_) *,
-2b - c + 4b + 3c There we go. . . much better.
Now we can simplify the equation by combining like terms.
( - 2b + 4b ) + ( - c + 3c ) = ( 2b ) + ( 2c )
So the simplified form of this would be 2b + 2c.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Help help help please math please
25.3 + x= 32 what is the answer to this problem
Answer:
6.7
Step-by-step explanation:
Answer:
6.700
Step-by-step explanation:
hope this helped
Solve the inequality and express your answer in interval notation.
x2 - 12x + 5 <0
Answer:
([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])
Step-by-step explanation:
[tex]x^{2}-12x+5 < 0[/tex]
To solve this inequality, we can start by completing the square. To do this, we divide the x coefficient (-12) by 2 and then square it. We then add the result to the left side of the equation. To ensure the inequality remains true, we also subtract it.
[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]
We can then express the first trinomial as a perfect square.
[tex](x-6)^{2} - 31 < 0[/tex]
Add 31 to both sides:
[tex](x-6)^{2}< 31[/tex]
Then take the square root of both sides:
[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]
Finally, add 6 to both sides:
x < 6 + [tex]\sqrt{31}[/tex]
x > 6 - [tex]\sqrt{31}[/tex]
The solution to the inequality in interval notation is shown by option A
What is inequality?
An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other. Inequalities are denoted by symbols.
We have to use the quadratic formula that states that;
x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a
So we have that;
x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1
Thus we would obtain in the end;
6 - √31 < x < 6 + √31
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