Answer:
vertex = (3, 2 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x - 3)² + 2 ← is in vertex form
with vertex = (3, 2 )
Which is the equation for a sphere with the center (2,-9,-1) and radius √r? a. (x + 2)2 + (y - 9)2 + ( z - 1)2 = r b. (x - 2)2 + (y + 9)2 + ( z + 1)2 = r c. (x - 2)2 + (y + 9)2 + ( z + 1)2 = √r d. (x + 2)2 + (y - 9)2 + ( z - 1)2 = r2
Answer: b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex]
Step-by-step explanation:
The general equation of a sphere is : [tex](x - a)^2 + (y - b)^2+ (z - c)^2 = R^2[/tex], where (a, b, c) represents the center of the sphere, R represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.
Given, Center of the sphere = (2,-9,-1)
Radius = √r
Then, the equation of the sphere would be
[tex](x - 2)^2 + (y - (-9))^2+ (z - (-1))^2 = (\sqrt{r})^2\\\\\Rightarrow\ (x-2)^2+(y+9)^2+(z+1)^2=r[/tex]
Hence, the correct option is b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex] .
5-3x>6
Please helppppo please hellppppppp
Step-by-step explanation:
5-3x>6
-3x>1
x<-1/3
got it?
Answer:
2x<6
Step-by-step explanation:
help quick plz i will make u a brainllest
Answer:
The answer is option B.
Step-by-step explanation:
Let < D be x
Since the triangle isosceles < E is also the same as < D
Let < E also be x
Angles in a triangle add up to 180°
x + x + 102 = 180
2x = 180 - 102
2x = 78
Divide both sides by 2
x = 39°
Therefore m < D is 39°
Hope this helps you
The origin is at (1, 1): that is, the origin is at position 1 on the x-axis and at position 1 on the y-axis.
Answer: What is the question? If you could be more specific I could try to help but there is no question here.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
just did it
Onsider two concentric circles, one with radius r1 and the second with radius r2, where r1>r2. Suppose a line t is tangent to the circle with radius r1. How many points are in the intersection of t and the circle with radius r2
Answer:
0
Step-by-step explanation:
A tangent line is a line that touches the circle's circumference at only one point.
Given two concentric circles one with radius [tex]r_1[/tex] and the second with radius [tex]r_2[/tex], and [tex]r_1>r_2[/tex]. SInce [tex]r_2[/tex] is inside the smaller circle, there is no way it would intersect with the tangent line t.
Therefore, there are no points of intersection between the tangent line t and [tex]r_2[/tex] .
The product of a number and its inverse is 1. Represent it in algebraic form.
Answer:
Step-by-step explanation:
Hello
first of all we assume that this number is different from 0 as dividing by 0 is not allowed
let's not n this number
its inverse is
[tex]\dfrac{1}{n}[/tex]
and we can write
[tex]n*\dfrac{1}{n}=1[/tex]
hope this helps
Answer:
x * 1/x = 1
Step-by-step explanation:
Let x be the number
1/x is the inverse
x * 1/x = 1
Find the height, x, of the triangle. A. 30 B. 40 C. 50 D. 60
Answer:
The correct option is;
A. 30
Step-by-step explanation:
Given that the perpendicular bisector forms two other right angled triangles, we have;
For the larger right angled triangle, hypotenuse length = 100
For the smaller right angled triangle, hypotenuse length = 90
We note that;
y² = x² + 10²
z² = x² + 90²
100² = z² + y ²
Therefore we have;
100² = x² + 10² + z² = x² + 10² + x² + 90² = 2·x² + 90² + 10²
10000 = 2·x² + 8200
2·x² = 10000 - 8200 = 1800
x² = 1800/2 = 900
x = 30
Identify the fallacies of relevance, weak induction, presumption, ambiguity, and illicit transference committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy." When I visited Dr. Ames about my cholesterol, she insisted that I go on a statin drug. She says everybody should be on a statin. And when I saw Dr. Collins for depression, he prescribed Prozac. And when the Prozac gave me nausea, he prescribed Zofran to stop the nausea. Doctors are all the same. They all take their orders from the pharmaceutical industry.
Answer:
Hasty generalization fallacy
Step-by-step explanation:
Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.
In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.
Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.
Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.
Mr.Green works at a advertising agency. He has a marketing budget of $2500 to pay for television and newpaper advertising. Television advertising costs $100 per minute and newpaper advertisement cost $25 per square inch of print. The inequality represents the number of minutes of television advertising (A) and square inches of of newspaper advertising (B), Mr.Green can order without exceeding his marketing budget is
Step-by-step explanation:
A represents the number of minutes for television advertising an B represents the square inches of newspaper advertising.
To find the price, you have to multiply the amount of money per minute by the number of minutes for television advertising which is $100 and the amount of money per square inch for newspaper advertising which is $25 and it should be less than or equal to the money he has allocated to advertising as seen in the inequality below.
100a + 25b ≤ 2500
simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)
Answer:
[tex]\dfrac{5}{x^3-12x^2+47x-60}[/tex]
Step-by-step explanation:
Though it is not what you have written, we think you want to simplify ...
[tex]\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}[/tex]
_____
When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).
For every 1000 hits a channel gets it makes £16 from ad revenue. How much will the channel make from each hit?
Hi there! Hopefully this helps!
The answer is: 0.016
Here is how I got that answer:
16/1000=0.016
Answer:
Step-by-step explanation:
£16÷1000=0.016p
(8,36) (11,12) slope for the line
Answer:
-8
Step-by-step explanation:
The slope is found by
m = (y2-y1)/(x2-x1)
= ( 36-12)/(8 - 11)
= 24 / -3
= -8
[tex]\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in your coordinates and solve}\\\\\frac{12-36}{11-8}\\\\\frac{-24}{3}\\\\-8\\\\\boxed{\text{Slope: -8}}[/tex]
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3 cubed. Syrus isn't sure if the tent will be tall enough for him to sit up inside. What is the height of the tent?
The dimensions of the tent is in the attachment.
Answer: Height = 4.5 ft
Step-by-step explanation: The image in the attachment shows a rectangular piramid, which means that the base of the piramid is a rectangle with sides 4 ft and 6 ft for width and length, respectively.
The volume of a rectangular piramid is given by the formula:
V = [tex]\frac{1}{3}[/tex].w.l.h
36 = [tex]\frac{1}{3}[/tex].4.6.h
h = [tex]\frac{36.3}{4.6}[/tex]
h = 4.5
The height of the given tent is 4.5 feet.
Andre types 208 words in 4 minutes. Noah types 342 words and 6 minutes.who types faster explain?
Answer:
Noah
Step-by-step explanation:
Find how many words each person types in one minute. Andre types 208/4=52 words/min and Noah types 342/6=57 words/min. The answer is Noah.
Answer:
noah types faster
Step-by-step explanation:
Andre
208 words/ 4 minutes =
52 words per minute
Noah
342 words / 6 minutes = 57 words per minute
Quadrilaterals ABCD and EFGH are similar. If the perimeter of the quadrilateral ABCD is equal to 4y² what is the perimeter of the quadrilateral EFGH?
Answer:
Can't be determined.
Step-by-step explanation:
From the fact that the quadrilaterals are similar:
Corresponding sides are in proportion and
Corresponding angles are congruent.
We can't create a proportion, so there's nothing else that we can determine.
Answer:
Below.
Step-by-step explanation:
Similar figures have the same size but not necessarily the same size.
The respective sides will be in the same ratio in a similar figure.
So from the information given you can't say what the measure of the perimeter of quadrilateral EFGH is. All you can say is the ratio of the perimeters is the same as the ratio of the respective sides. If the ratio is 1:2 for example then the perimeter of EFGH is 2*4y^2 = 8y^2.
Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only.
1.P(z>1.38)=
2.P(1.233.P(z<−0.42)=
3.P(z<−0.42)=
4. P(−2.645.P(z<3.04)=
5. P(z<3.04)
6.P(07.P(z>−2.43)=
7.P(z>−2.43)=
Answer:
(1) P (z > 1.38) = 0.08379
(2) P (z < - 0.42) = 0.33724
(3) P (z < 3.04) = 0.99882
(4) P (z > -2.43) = 0.00755
Step-by-step explanation:
(1)
Compute the value of P (z > 1.38) as follows:
[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]
(2)
Compute the value of P (z < -0.42) as follows:
[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]
(3)
Compute the value of P (z < 3.04) as follows:
[tex]P(z<3.04)=0.99882[/tex]
(4)
Compute the value of P (z > -2.43) as follows:
[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]
How to do this question plz?
Answer:
Ratio of George age to Carl's age to Alex age = 1 : 12 : 4
Step-by-step explanation:
Let the age of Alex = A years
Age of George = G years
And age of Carl = C years
"Alex is 12 years older than George"
A = G + 12 ------(1)
"Carl is 3 times older than Alex"
C = 3A
C = 3(G + 12)
C = 3G + 36 ------(2)
"Sum of their ages is 68 years"
A + G + C = 68 ------(3)
By substituting the values of A and G in equation (3)
G + 12 + G + 3G + 36 = 68
5G + 48 = 68
5G = 20
G = 4 years
From equation (1),
A = 4 + 12 = 16 years
From equation
C = 3(4) + 36
C = 12 + 36
C = 48 years
Ratio of their ages = G : C : A
= 4 : 48 : 16
= 1 : 12 : 4
What is the area of the triangle below?
3
16
O A. 24 sq. units
O B. 19 sq. units
O C. 48 sq. units
O D. 16 sq. units
Answer:
answer is 24
area of triangle=1/2 base*height
1/2*16*3=24
Answer:
24 sq. units
Step-by-step explanation:
Area of a triangle = Base x height ÷ 2
Base = 16
Height = 3
Therefore 16 x 3= 48 ÷2 = 24
I really hope this helps:)
A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 145 mph faster than the first. Of the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains
Answer:
The first train travels at 58 mph and the second train travels at 203 mph.
Step-by-step explanation:
The first train left Miami at 3:00 PM.
The second train left Miami at 8:00 PM.
Let the speed of the first train be x.
The second train travels 145 mph faster than the first, that is 145 + x
The second train overtakes the first at 10:00 PM
This means that at 10:00 PM, they were both at the same location.
That is 7 hours after the first train left and 2 hours after the second train left.
Speed is given as:
s = d / t
where d = distance traveled and t = time taken
For the first train, after 7 hours traveling at speed x:
x = d / 7
=> d = 7x _______(1)
For the second train, after 2 hours, traveling at speed 145 + x:
145 + x= d / 2
=> d = 290 + 2x ____(2)
Equating (1) and (2):
7x = 290 + 2x
=> 7x - 2x = 290
5x = 290
=> x = 290/5 = 58 mph
Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)
The number -32 belongs to which sets of numbers?
A) Integers,rational
B) Whole, Integers,rational
C) Integers,Irrational
D) Whole,Integers
The number -32 belongs to set : A) integers, rational
Rational numbers are terminating or repeating real numbers. Whereas, irrational numbers are the complement of rational number with real number being the universal set. These numbers are non terminating non repeating real number.
Integers are a subset of rational number. These are numbers not in fraction or decimal, or say with a denominator 1.
Whole numbers are subsets of integers which are positive, or say integers greater than equal to 1.
Given number : -32.
Since, the number is terminating, it is rational.
Further, it is not a fraction or decimal, hence integer.
But since the number is negative, not a whole number.
Therefore A) Integers, rational is correct option.
Learn more about rational number here
https://brainly.com/question/17450097
#SPJ2
HELP ME PLEASE PLEASE IM BEGGING
Answer:
FALSE, (2, 9) is not a solution to the set of inequalities given.
Step-by-step explanation:
Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:
irst inequality:
[tex]y\geq 4x\\9\geq 4\,(2)\\9\geq 8[/tex]
so thi inequality is verified as true since 9 is larger or equal than 8
Now the second inequality:
[tex]y<x+2\\9<(2)+2\\9<4[/tex]
This is FALSE since 9 is larger than 4 (not smaller)
Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.
Angle BAC measures 112°. What is the measure of angle BDC? a. 28 b. 34 c.56 d. 112
Answer:
112 degrees
Step-by-step explanation:
All corresponding, or reflected angles are the same. the angles BAC & BDC should be the same.
Answer:
C. 56
Step-by-step explanation:
right on edge
In the triangles, HG = MP and GK = PN. Triangles H G K and M P N are shown. Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters. Sides H G and M P are congruent. Sides G K and P N are congruent. Which statement about the sides and angles is true?
Answer:
m∠G > m∠P
Step-by-step explanation:
Given that:
HG = MP and GK = PN., Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters.
The triangle law for unequal sides states that if two sides are unequal. the angle opposite the longer side is greater than the angle opposite the shorter side. Since side HK has a length of 15 millimeters and Side MN has a length of 11 millimeters, the angle opposite side HK (which is m∠G) is greater than the angle opposite side MN (which is m∠P). That is m∠G > m∠P.
Answer:
A.
Step-by-step explanation:
Simplest form w^3-w(w^2+2w-1)+2w
Answer:
[tex] - 2 {w}^{2} + 3w[/tex]Solution,
[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]
Some rules:
[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]
Hope this helps...
Good luck on your assignment..
List the sides of ∆XYZ in order from shortest to longest if m∠X = 51, m∠Y = 59, and m∠Z = 70
Step-by-step explanation:
Angles and sides go hand-in-hand. Although I don't see the actual triangle that's used, and that can affect my answer, the side opposite of the shortest angle will be the shortest, the side opposite of the middle angle will be the middle, and the side opposite the largest angle will be the largest. For example, if the shortest angle (m∠X = 51) is the top vertex, the base side will be the shortest.
Henry wants to double a cake recipe that uses 2 cups and 10 tbsp of flour. How much flour will he need?
9514 1404 393
Answer:
5 cups and 4 tbsp
Step-by-step explanation:
Double the quantity (2 c, 10 T) is ...
2 × (2 c, 10 T) = (4 c, 20 T)
A cup is equal to 16 tablespoons, so this quantity can be rewritten as ...
(5 c, 4 T)
Five cups and four tablespoons of flour are needed for the double recipe.
A baker is making cookies. She uses 3 cups of flour for every 8 oz of chocolate chips
How many cups of flour are needed with 192 oz of chocolate chips?
Answer: 72cups
Step-by-step explanation:
there are 8oz in a cup, so 8oz x 3cups = 24oz
[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]
[tex]\frac{576}{8} = 72cups[/tex]
The baker will need 72 cups of flour for 192oz of chocolate chips.
EXTRA POINTS! Evaluate the expression 7x2y, when x = 3 and y = 4. A.168 B.252 C.336 D.794
Answer:
A
Step-by-step explanation:
Put the values of x and y into the expression, then multiply the values.
7 x 3 x 2 x 4 = 168
Answer:
B. 252
Step-by-step explanation:
[tex]7x^2y[/tex]
Put x as 3 and y as 4.
[tex]7\left(3\right)^2\left(4\right)[/tex]
Evaluate.
[tex]7(9)(4)[/tex]
[tex]=252[/tex]
What is sixty dollars increased by fifteen percent?
Answer:
$69 dollars.
Step-by-step explanation:
$60 dollars increased by 15% is the same as:
60 + 60(.15) = 60(1.15) = $69
Sam was building a suspension bridge for the playground at an elementary school and needed some chain link and rope.He bought a total of 80 feet of materials. The chain link cost $2.00 per foot, and the rope cost $1.50 per foot. He spent a total of $135. How much of eacb did he buy?
Answer:
30 feet of chain link and 50 feet of rope
Step-by-step explanation:
Let's call the amount of chain link as x and the amount of rope as y. We can write:
x + y = 80 -- Equation 1
2x + 1.5y = 135 -- Equation 2
2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)
0.5y = 25 (Subtract Equation 2 from Equation 3)
y = 50 (Divide by 2)
x + 50 = 80 (Substitute y = 50 into Equation 1)
x = 30 (Subtract 50)