Answer:
Data set A best fit by the regression line.
Answer:
Data Set C.
Step-by-step explanation:
Well just even by common sense, the line for "data set A" is not good for the points on the graph
Mark the absolute maximum point of the graph.
is the absolute maximum point (-3,5)?
How do the functions compare over the interval The exponential grows at approximately half the rate of the quadratic. The exponential grows at approximately the same rate as the quadratic. The exponential grows at approximately twice the rate of the quadratic. The exponential grows at approximately four times the rate of the quadratic. Mark this and return
Answer:
Correct Option: B
Step-by-step explanation:
Linear functions are the type of functions that are applied to model occurrences that rise or fall at a constant proportion. These sorts of functions are polynomial functions with a maximum exponent of one on the variable. The graphs of these kind of functions are in the form of a line.
Exponential functions are the type of functions that have the variable in exponent form. The growth rate or decline rate is either slow than quick or quick than slow.
Quadratic functions are of the form f (x) = ax² + bx + c. The graph of this function is in the form of a parabola. The graph first increases, hit a maximum, then decreases or decreases, hit a minimum, then increases.
From the provided graphs it can be seen that, the exponential function grows at approximately the same rate over the interval 0 ≤ x ≤ 1 as the quadratic function.
Answer:
bbb
Step-by-step explanation:
A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hour and thirty minutes to return to Town B. If the current is 5mph how far apart are the two cities?
Answer:
The distance between two cities is 60 miles.
Step-by-step explanation:
Time taken to travel from B to A = 2 hours
Time taken to travel from A to B = 1.5 hours
Current speed = 5 mph
Let the speed of ferry in still water = u mph
When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).
Let the distance between the two cities A and B = D miles
While moving with the current, speed = [tex](u+5)\ mph[/tex]
While moving against the current, speed = [tex](u-5)\ mph[/tex]
Formula for Distance = Speed [tex]\times[/tex] Time
Distance traveled in each case is same i.e. D.
So,
[tex]D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph[/tex]
Now,
[tex]D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}[/tex]
So, the distance between two cities is 60 miles.
Answer:
I believe that the answer is 60 miles
Step-by-step explanation:
2/3 x (-6/7 + 4/5) = (2/3 x 4/5) x (-6/7) : verify
Answer:
No they can't be equal
Step-by-step explanation:
L.H.S. :-
2/3 × ( -6/7 + 4/5 )
=> 2/3 × -2/35
=> -4/105
R.H.S
(2/3 × 4/5) × -6/7
=> 8/15 × -6/7
=> -48/105
L.H.S IS NOT EQUAL TO R.H.S.
Check all that apply. If tan theta = 15/8 then:
Answer:
B, C, D
Step-by-step explanation:
if tan theta = 15/8 then the hypotenuse is 17
therefore the correct answers are B, C, D
Elsa's magic wand can cast 53 spells. Her wand can cast 17fewer spells than her sister Anna's wand, which is a little bigger and has more glitter. How many spells can Anna's wand cast?
Answer:
Anna's wand can cast 70 spells
Step-by-step explanation:
Elsa's wand can cast 53 spells
her wand casts 17 fewer cells than her sister Anna's
Amount of spells cast by Anna's wand = ?
We write the question down in the form of an equation
[tex]x - 17 = 53[/tex]
where [tex]x[/tex] is the amount of spells Anna's wand can cast.
we then proceed to solve by collecting like terms to different sides of the equation. We'll have
[tex]x = 53 + 17[/tex]
which leaves us with
[tex]x = 70[/tex]
This means that Anna's wand can cast 70 spells.
98 percent of all babies survive delivery. However, 15 percent of all births involveCesarean (C) sections, and when a C section is performed, the baby survives 96percent of the time. If a randomly chosen pregnant woman does not have a Csection, what is the probability that her baby survives?
S - a randomly chosen pregnancy result in a successful delivery
C - a randomly chosen pregnancy ending in a C section
Can anyone help me with this plz?
Which statements about the hyperbola are true? Check
all that apply.
There is a vertex at (-3, 6).
The center of the hyperbola is at (-3,5).
There is a vertex at (-5,5).
The transverse axis is vertical.
The directrices are horizontal lines
Answer:
Options (1), (2), (4) and (5) are correct.
Step-by-step explanation:
Characteristics of the given hyperbola,
1). Vertex of the given hyperbola are at (-3, 6) and (-3, 4).
2). Since center of a hyperbola is the center of a line joining vertices of the hyperbola,
Center of the given parabola will be,
[tex](\frac{-3-3}{2},\frac{6+4}{2})[/tex] ⇒ (-3, 5)
3). Vertical line joining the foci of the hyperbola is the transverse axis.
4). A line perpendicular to the transverse axis and passing through the center will be the conjugate axis.
5). Directrices of a horizontal hyperbola are the horizontal lines.
Therefore, Options (1), (2), (4) and (5) are correct.
Answer:
check photo. <3
Step-by-step explanation:
x: 13, 17, 21, 25 y: 0, 6, 12, 18 is the relationship linear, exponential or neither
━━━━━━━☆☆━━━━━━━
▹ Answer
Linear
▹ Step-by-Step Explanation
As x increases by 4, y increases by 6.
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
0 + 6 = 6
6 + 6 = 12
12 + 6 = 18
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the GRAPHS AND FUNCTIONS.
This here, from the graph we can see that it's a EXPONENTIAL GROWTH.
Thus the relationship is Exponential.
Two different sizes of square metal duct are joined by a piece that is a frustum of a pyramid. Find the lateral surface area, if the small end is square with one side of length 17 in. and the larger square end is of length 19 in. on one side with a slant height of 2 in.
Answer:
288 in²
Step-by-step explanation:
The formula used to solve this question is :
Lateral Surface Area = s( P1 + P2)
Where s = slant height = 2 inches
P1 and P2 = Perimeter of the bases
Perimeter of base 1 = 4 × length of the end of the small square
4 × 17 inches = 68 inches
Perimeter of base 2 = 4 × length of the end of the large square
4 × 19 inches = 76 inches
Lateral Surface Area = 2 × (68 + 76)
= 2 × 144
= 288 in²
graph itttt plssssss
━━━━━━━☆☆━━━━━━━
▹ Answer
You can use a graphing calculator. Attached is a picture of it graphed.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Graph [tex]y=\frac{2}{3} x[/tex] Which of the following statements are true?
Answer:
A,C,D
Step-by-step explanation:
When b=0, there is a proportional relationship.
The slope in y=mx+b is the value next to x.
Using RISE/RUN when there is a change of 3 units in x, there is a change of 2 units in y.
Please help out show work ty!
Answer:
C
Step-by-step explanation:
This is because it has a constant rate of change.
5 x 1.5 = 7.5
6 x 1.5 = 9
7 x 1.5 = 10.5
You can find this image by dividing y by x and testing this rate of change on the other y values. Thus C is correct.
Find the value of x in the
following parallelogram:
2x - 10
2x + 50
Answer:
The value of x is 35
Step-by-step explanation:
In order to calculate the value of x in the following parallelogram: 2x - 10
2x + 50, we would have to calculate the following formula:
m<QPS+m<PQR=180°
According to the given data we have the following:
m<QPS=2x - 10
m<PQR=2x + 50
Therefore, 2x - 10+2x + 50=180
4x+40=180
x=140/4
x=35
There are 25 students in Mr. Jones’ art class. Mr. Jones is planning a project where each student needs 0.3 jar of paint. Exactly how much paint does Mr. Jones need for the art project?
Answer:
7.5 jars
Step-by-step explanation:
There are 25 students in the art class.
Mr Jones is planning that for the project, each of the 25 students will need 0.3 jar of paint.
The amount of paint Mr Jones needs for this project is therefore the product of the number of students in the class by the amount of paint each student needs.
That is:
25 * 0.3 = 7.5 jars of paint
Mr Jones needs 7.5 jars of paint for the art project.
Y varies directly as cube root of
[tex]x[/tex]
And y=3 when
[tex]x = 27[/tex]
A. Find the value of the constant
B. Find the relationship
C. Find the value of y when
[tex]x = 8[/tex]
Step-by-step explanation:
Y varies directly as cube root of x is written as
y = k³√x
where k is the constant of proportionality
A).when y = 3
x = 27
We have
[tex]3 = k \sqrt[3]{27} [/tex]
But ³√27 = 3
That's
3 = 3k
Divide both sides by 3
k = 1
The value of the constant is 1B).The value of the relationship is
[tex]y = \sqrt[3]{x} [/tex]C).When x = 8
We have
[tex]y = \sqrt[3]{8} [/tex]y = 2Hope this helps you
Please answer this question now
Answer:
Step-by-step explanation:
The side y is across from the angle Y which is 68 degrees. Angle Y is next to both the hypotenuse (14 units) and adjacent to the side XY (5 units). If we are finding side y, we need to use one of the trig ratios that relates the angle Y to the side across from it. That would be either the sin of Y which is the side opposite y) over the hypotenuse (14) or the tan of Y which is the side opposite over the side adjacent. Either one will get you the side lengths within a tenth or hundredth of each other. Let's do both, just because. First the sine:
[tex]sin(68)=\frac{y}{14}[/tex] and
14sin(68) = y so
y = 12.98 and rounded to the nearest tenth is 13.0
Now the tangent:
[tex]tan(68)=\frac{y}{5}[/tex] and
5tan(68) = y so
y = 12.37 and rounded to the nearest tenth is 12.4.
As an integer, your answer would be 13; as a decimal it would be the 12.4
Apparently, either is fine.
7. The radius of a cylinder whose curved surface area is 2640 2 and height 21 cm is _________. (a) 100 ° (b) 50° (c) 80° (d) 90°
Answer:
The answer is 21.25cm
Step-by-step explanation:
Hope i am marked as brainliest
plz HELPPPP with this):
Answer:
Graph 4
Step-by-step explanation:
The graph of f(x) = x^3 includes point (0, 0) since f(0) = 0^3 = 0.
The exponent of x is 3. This is not a linear function.
Negative values of x cubed are negative, and positive values of x cubed are positive.
For x < 0, f(x) < 0, and for x > 0, f(x) > 0.
Answer: Graph 4.
find two rational numbers whose sum is -10,0,15
Answer:
Sum of two rational numbers-
-10 = -5+-5
0= -5+5
15= 10+5
Step-by-step explanation:
HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortgage for the balance, amortized over 20 years at 5.25%. If the Lees pay off the mortgage at the end of the 20 years, how much interest will they have paid in total? USE TVM SOLVER
Answer:
$191,340.80
Step-by-step explanation:
Step 1
We find the amount that is paid monthly by the Lee's
We are told in the question that:
Cost of the house =$360,000
Down payment = $50,000
We are also told, the balance left after the down payment was made = Mortgage that is amortized at an
Interest rate of 5.25%
Time = 20 years
Hence, Mortgage amount = $360,000 - $50,000 = $310,000
Formula for monthly payment =
M= P[r(1+r)^n/((1+r)^n)-1)]
M = the total monthly mortgage payment.
P = the principal loan amount.
r = your monthly interest rate.
= rate/12
=5.25%/12 = 0.0525/12
= 0.004375
n = number of payments
= number of years × number of months
= 20 × 12 = 240 payments
Formula for monthly payment =
M= P[r(1+r)^n/((1+r)^n)-1)]
M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]
M = $2,088.92
Therefore, the monthly payment by the Lee's is $2,088.92
Step 2
We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years
Total Amount paid = Monthly payments × Number of payments
= $2,088.92 × 240
= $501,340.80
Step 3
The third and final step is to calculate the Total interest paid for 20 years
Total Interest = Total amount paid - Mortgage amount
= $501,340.80 - $310,000
Total Interest: $191,340.80
Therefore,the interest will they have paid in total is $191,340.80
PLZ HELP ASAPPP!! I'M NOT 100% SURE ON HOW TO DO THIS
Answer:
1) 4a + 8
2) 12a² - 8a
3) 2a² + 8a
4) 4 - 6a
Step-by-step explanation:
The GCF of two numbers is the greatest common number each of the original two numbers can be divided by to get a whole number.
Hope it helps <3
Answer:
4 4a+8
4a [tex]12a^{2}[/tex]+8a
2a [tex]2a^{2} +8a[/tex]
2 4-6a
Step-by-step explanation:
Okay basicly you wand to find the biggest number that can go into both numbers
like the greatest common fact for 4a+8 would be 4 since only one of the numbers have an a you would just leave that out
Since you can take a 4 and an a out of [tex]12a^{2} \\[/tex] and out of 8a the greatest common factor would be 4a
Since you are able to take a 2 and an a out of [tex]2a^{2} +8a[/tex] your greatest common factor would be a
Since the largest number that can go into 4 and 6 is 2 your answer would be 2
Hope this helps you understand!
will mark brainliest!!!plz helppp
Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If [tex]f(x)=x^2-6x+3[/tex], then [tex]f(x-2)=(x-2)^2-6(x-2)+3[/tex].
Let's simplify that.
Distribute with [tex]-6(x-2)[/tex]:
[tex]f(x-2)=(x-2)^2-6x+12+3[/tex]
Combine the end like terms [tex]12+3[/tex]:
[tex]f(x-2)=(x-2)^2-6x+15[/tex]
Use [tex](x-b)^2=x^2-2bx+b^2[/tex] identity for [tex](x-2)^2[/tex]:
[tex]f(x-2)=x^2-4x+4-6x+15[/tex]
Combine like terms [tex]-4x-6x[/tex] and [tex]4+15[/tex]:
[tex]f(x-2)=x^2-10x+19[/tex]
We are given [tex]g(x)=f(x-2)[/tex].
So we have that [tex]g(x)=x^2-10x+19[/tex].
The vertex happens at [tex]x=\frac{-b}{2a}[/tex].
Compare [tex]x^2-10x+19[/tex] to [tex]ax^2+bx+c[/tex] to determine [tex]a,b,\text{ and } c[/tex].
[tex]a=1[/tex]
[tex]b=-10[/tex]
[tex]c=19[/tex]
Let's plug it in.
[tex]\frac{-b}{2a}[/tex]
[tex]\frac{-(-10)}{2(1)}[/tex]
[tex]\frac{10}{2}[/tex]
[tex]5[/tex]
So the [tex]x-[/tex] coordinate is 5.
Let's find the corresponding [tex]y-[/tex] coordinate by evaluating our expression named [tex]g[/tex] at [tex]x=5[/tex]:
[tex]5^2-10(5)+19[/tex]
[tex]25-50+19[/tex]
[tex]-25+19[/tex]
[tex]-6[/tex]
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is [tex]a(x-h)^2+k[/tex] where the vertex is [tex](h,k)[/tex].
Let's put [tex]f[/tex] into this form.
We are given [tex]f(x)=x^2-6x+3[/tex].
We will need to complete the square.
I like to use the identity [tex]x^2+kx+(\frac{k}{2})^2=(x+\frac{k}{2})^2[/tex].
So If you add something in, you will have to take it out (and vice versa).
[tex]x^2-6x+3[/tex]
[tex]x^2-6x+(\frac{6}{2})^2+3-(\frac{6}{2})^2[/tex]
[tex](x+\frac{-6}{2})^2+3-3^2[/tex]
[tex](x+-3)^2+3-9[/tex]
[tex](x-3)^2+-6[/tex]
So we have in vertex form [tex]f[/tex] is:
[tex]f(x)=(x-3)^2+-6[/tex].
The vertex is (3,-6).
So if we are dealing with the function [tex]g(x)=f(x-2)[/tex].
This means we are going to move the vertex of [tex]f[/tex] right 2 units to figure out the vertex of [tex]g[/tex] which puts us at (3+2,-6)=(5,-6).
The [tex]y-[/tex] coordinate was not effected here because we were only moving horizontally not up/down.
Transversal m intersects lines a, b, and c such that m∠1=42° and m∠2=140° and m∠3=138°. Which lines are parallel?
Answer:
Lines a and c.
Step-by-step explanation:
m∠1=42° and m∠3=138°. 42 + 138 = 180, so the two angles form a 180° angle. That means that lines a and c are parallel.
Hope this helps!
Answer:A is parallel to C
Step-by-step explanation:
Statement | Reason
42*+138*=180* |Corresponding angles
There fore A||C aka a parallel to c
42*+140*=180* | Same side int. angles
Therefore A no || B aka A is not parallel to B
138*=140* | Same side int. Angles
Therefore B And C are not parallel and A,B. and C are not parallel
The answer is A||C or A is parallel to C
The figure above shows a right-angled triangle OAB. AOC is a minor sector enclosed in the triangle. If OA = 7 cm, AB = 6 cm, calculate the area and perimeternof the shaded region. PLEASE HELP!
Answer:
Step-by-step explanation:
Given that:
OA = 7 cm, AB = 6 cm. ∠A = 90°, OA = OC = 7 cm
Using Pythagoras theorem: OB² = OA² + AB²
OB² = 6² + 7²=85
OB = √85 = 9.22 cm
to find ∠O, we use sine rule:
[tex]\frac{AB}{sin(O)}=\frac{OB}{sin(A)}\\ \\sin(O)=\frac{AB*sin(A)}{OB}=\frac{6*sin(90)}{9.22} =0.65 \\\\O=sin^{-1}0.65=40.6^o[/tex]
AOC is a minor sector with radius 7 cm and angle 40.6
The Area of the triangle OAB = 1/2 × base × height = 1/2 × OA × AB = 1/2 × 7 × 6 = 21 cm²
Area of sector OAC = [tex]\frac{\theta}{360}*\pi r^2=\frac{40.6}{360}*\pi *7^2=17.37 \ cm^2[/tex]
Area of shaded region = The Area of the triangle OAB - Area of sector OAC = 21 - 17.37 = 3.63 cm²
Perimeter of arc AC = [tex]\frac{\theta}{360}*2\pi r=\frac{40.6}{360}*2\pi *7=4.96\ cm[/tex]
CB = OB - OC = 9.22 - 7 = 2.22
Perimeter of shaded region = AB + CB + arc AC = 6 + 2.22 + 4.96 = 13.18 cm
Please help me.. T-T
Step-by-step explanation:
The inequality is [tex]\frac{x}{-3}[/tex] >2
[tex]\frac{x}{-3}[/tex] > 2 multiply each side by -3 x < 2*(-3) the sign is switched since we multiplied by a negative number x < -6x is less than -6 and -6 is excluded so it will be represented by an empty circle and a line going toward negative values
so it's D
What is the 52nd term of -11,-2,7,16,25,34
Answer:
448
Step-by-step explanation:
Formula
tn = a + (n - 1)d
Givens
a = - 11
n = 52
d = 9
Solution
t52 = -11 + (51)*9
t52 = - 11 + 459
t52 = 448
I'm going to mark whoever gets it right as brainliest Fred's coffee shop sells two blends of beans at the following prices. a) House Blend ($3.50/lb) b) Exotic Blend ($4.00/lb). House blend is 1/2 Costa Rican beans and 1/2 Ethiopian beans. Exotic blend is 1/4 Costa Rican beans and 3/4 Ethiopian beans. Every day Fred receives 200 lbs of Costa Rican Beans and 330 lbs of Ethiopian beans. Which inequality is a constraint? * 1/2x+1/4y or = to 530 x < or = 200
Answer:
(1/2)x + (1/4)y <= 200
Step-by-step explanation:
If
x = # of lbs of House blend he makes/sells a day
y = # of lbs of Exotic blend he makes/sells a day
then constraints are
(1/2)x + (1/4)y <= 200 ....................(1)
x+y <= 530 .....................................(2)
The exact answer choices are not very clear from the question, but either (or both) (1) or (2) must be one of them. If not, please edit question or add a comment to show the answer choices.
Which expression is equivalent to StartFraction (2 m n) Superscript 4 Baseline Over 6 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0. StartFraction 8 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction StartFraction 10 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction StartFraction 8 m Superscript 16 Baseline n Superscript 12 Baseline Over 3 EndFraction StartFraction m Superscript 4 Baseline n Superscript 6 Baseline Over 3 EndFraction
Answer:
[tex]\dfrac{8m^7n^6}{3}[/tex]
Step-by-step explanation:
[tex]\dfrac{(2mn)^4}{6m^{-3}n^{-2}}=\dfrac{2^4}{6}m^{4-(-3)}n^{4-(-2)}=\boxed{\dfrac{8m^7n^6}{3}}[/tex]
__
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
1/a^b = a^-b
(a^b)(a^c) = a^(b+c)
Answer:
A
Step-by-step explanation: