Answer: A
Step-by-step explanation: There's a constant growth (slope) of y by 9 for every 1 value of x. This makes it a linear function. A linear function, by default, makes a straight line when graphed. (Unless its domain is restricted but this doesn't apply to your question.
Create a table of values for the function f(x) = (1/3)^–x
Answer:
See the explanation
Step-by-step explanation:
The function given to us is:
f(x) = (1/3)⁻ˣ
We can convert the negative power into positive one by interchanging the numerator and denominator.
f(x) = (3/1)ˣ
f(x) = 3ˣ
Substitute value for x= -3 , -2, -1, 0, 1, 2, 3
f(-3) = 3⁻³ = 0.037
f(-2) = 3⁻² = 0.111
f(-1) = 3⁻¹ = 0.333
f(0) = 3⁰ = 1
f(1) = 3¹ = 3
f(2) = 3² = 9
f(3) = 3³ = 27
f(4) = 3⁴ = 81
and so on
The table of the found values of f(x) or y for the corresponding values of x, along with their graph is given below.
I need help on these questions pls answer asap 1.) A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel? 2.)The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Answer:
1. The train is will cross the tunnel in 2 minutes.
The train is traveling at 30 km every hour or 60 minutes, so it will move 1 km every 60/30 minutes, or every 2 minutes.
2. Explanation here first: 22 free throws means 22 points and 22 field goals.
184-22=162 points they still needed to get, and
85-22=63 goals they still needed to score
We can now use a system of equations, (where x is 3-point goals, and y is 2-point goals) to solve the problem:
3x+2y=162
x+y=63 (-2)
-------------------------------------------------------------
3x+2y=162
-2x-2y= -126
-------------------------------------------------------------
x=36, and y=27 so the NBA players got 36 3-point goals, and 27 2-point goals
We can check this:
(36*3) + (27*2) + 22 = 108+54+22 = 184 total points
Step-by-step explanation:
Hope this helps!
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples
from 29 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined
sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
The probability that the combined sample will test positive is
(Round to three decimal places as needed.)
Answer:
The probability that the combined sample tests positive for the virus is 0.083
Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined sample to test positive.
The probability that the combined sample will test positive is 0.083
Step-by-step explanation:
Given that:
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.
P = 0.003
number of blood sample size n = 29
The probability mass function of X is as follows;
[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]
Thus; the required probability is;
[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]
[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - 0.9166[/tex]
[tex]P(X \geq 1) = 0.0834[/tex]
Therefore; the probability that the combined sample tests positive for the virus is 0.083
Is it unlikely for such a combined sample to test positive?
P(combined sample test positive for the virus ) = 0.0834
Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined sample to test positive.
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.
P = 0.003
number of blood sample size n = 29
The probability mass function of X is as follows;
[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]
Thus; the required probability is;
[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]
[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - 0.9166[/tex]
[tex]P(X \geq 1) = 0.0834[/tex]
The probability that the combined sample will test positive is 0.083
classify the real number -11
Answer:
-11 is
=> Integer
=> Rational Number
Answer:
Integer
Step-by-step explanation:
-11 is a negative number. It is an integer.
Integers are all the whole numbers and their opposites.
Find the area of the shaded polygons: all of them not one
Answer:
6 sq units, 4 sq units, 6 sq units
Step-by-step explanation:
Method:
count dots inside ...(a)
the ones on the border of the polygon and divide by two ...(b)
(a)+(b)-1 = area
use this method for the red, green, and yellow polygons.
Red:
(a): 2
(b): 10/2 = 5
2+5-1 = 6 sq units
Green:
(a): 0
(b): 10/2 = 5
0+5-1 = 4 sq units
Yellow:
(a): 3
(b): 8/2 = 4
3+4-1 = 6 sq units
I hope this helps, and plz mark me brainliest!!!!
PLEASE HELP!!!! I'M STUCK The graph shows two lines, A and B. A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6. Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points) Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answer:
A: There is only one solution since the two lines meet up. If it was parallel or the two lines where on top of each other there would be either an infinite amount of solutions or zero.
B:(3,5)
Step-by-step explanation:
Why is the slope of line segment AC the same as the slope of line segment DF in the figure below?
A.because AB/EF=BC/DE? ...................................
B.because AB/DE=BC/DF ?...............................
C.because AB=EF ?...............................
D.because BC=DE?............................
Answer:
The answer would be A. because AB/EF=BC/DE
Step-by-step explanation:
AB = 2
EF = 5
BC = 1
DE = 2.5
2/5 = 0.4
1/2.5 = 0.4
The equation AB/EF=BC/DE is correct. All of the others are not.
The slope of line segment AC the same as the slope of line segment DF in the figure below because AB/EF = BC/DE.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We need to find the proportionality statement for the ratio of the sides of the triangles.
If two triangles are similar, then the corresponding sides are proportional.
ABC ≈ DEF,
Here AB, BC, and AC are corresponding sides of DE, EF, and DF respectively.
Using the definition of similarity we ge
AB = 2
EF = 5
BC = 1
DE = 2.5
2/5 = 0.4
1/2.5 = 0.4
The equation AB/EF = BC/DE is correct. All of the others are not.
Learn more about a triangle;
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Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational? Yes or No?
Answer:
12 rational
Step-by-step explanation:
2√3×√12 =
= 2√3×√2²·3
= 2√3×2√3
= 2×2×√3×√3
= 4×3
= 12
Find the volume of the prism shown. Use Cavalieri’s principle. ANSWERS: 336 cm3 2,696 cm3 1,084 cm3 164 cm3
Answer:
336 cm3
Step-by-step explanation:
Using Cavalieri’s principle, this volume is the same as for a right rectangular prism with these dimensions. Apply the formula for volume of a rectangular prism:
V = lwh
V = (6)(4)(14)
V = 336 cm3
Please answer fast ASAPPPP
Answer:
[tex]\frac{13}{3}[/tex] ÷ [tex](-\frac{5}{6})[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3}/(-\frac{5}{6})=\\\\\frac{13}{3}/(-\frac{5}{6})[/tex]
Answer:
13/3 ÷ - 5/6
Step-by-step explanation:
4 1/3 ÷ - 5/6
Change the mixed number to an improper fraction
4 1/3 = (3*4 +1)/3 = 13/3
13/3 ÷ - 5/6
five sixths of a number equals 4,375. What is the number
Answer:
The number is 5250
Step-by-step explanation:
5/6 * x = 4375
Multiply each side by 6/5 to isolate x
6/5 * 5/6 x = 4375 * 6/5
x =5250
Answer:
5250
Step-by-step explanation:
5/6x= 4375
x= 4375*6/5
x= 5250
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are alternate exterior angles with angle 11? Angle5 and Angle13 Angle7 and Angle15 Angle6 and Angle16 Angle8 and Angle14
Answer:
5 to13
Step-by-step explanation:
hope it help
Answer:5
5 and 13
Step-by-step explanation:
Which of the following is the major arc for the circle shown below?
A. ATZ
B. TZ
C. AZT
D. AT
Answer:
Option C
Step-by-step explanation:
Major Arc is the arc with the greatest length So , here Major Arc is:
AZT
What is the solution to the equation √x^2+2x-25=√x+5 x = –6 x = 5 x = 6, x = –5 x = –6, x = 5
Answer:
x = 5, -6
Step-by-step explanation:
Step 1: Write out equation
x² + 2x - 25 = x + 5
Step 2: Move everything to one side
x² + x - 30 = 0
Step 3: Factor
(x - 5)(x + 6) = 0
Step 4: Find roots
x - 5 = 0
x = 5
x + 6 = 0
x = -6
the rectangle below has an area of x^2-6x-7, square meters and a width of x-7 meters.What expression represents the length of the rectangle?
Answer:
Length = (x^2-6x-7)m²/ (x-7)m
Step-by-step explanation:
let L =length
let W= width
let A = area of the rectangle.
if A = L × W
making L the subject, divide both side by W
A/W= L×W/W
therefore, L =A/W
L= (x²-6x-7)m²/(x-7)m
erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1)21 B. an=100 + (n-1)5 C. an=5 + (n-1)100 D. an=21 + (n-1)5
Answer:
B. an=100 + (n-1)5
Step-by-step explanation:
Using the explicit formula
an = a1+ d(n-1)
we know a1 is 100, which is the staring amount
We know d is the amount added each time or the common difference which is 5
an = 100 + 5(n-1)
If we want to find a specific day, we can substitute in for n
5. Solve the inequality.
-4(3-X) > 8
a. -5
b. x < -5
c. 5< x
d. x < 5
Answer:
x >5
Step-by-step explanation:
-4(3-X) > 8
Divide by -4, remembering to flip the inequality
-4/-4(3-X) < 8/-4
3-x < -2
Subtract 3 from each side
3-x-3 < -2-3
-x <-5
Divide by -1, remembering to flip the inequality
x >5
Answer:
[tex]c.[/tex] [tex]5<x[/tex]
Step-by-step explanation:
[tex]-4(3-x)>8\\3-x>-2\\-x>-5\\x>5[/tex]
26. Write the equation of the line passing through 2.-4) and parallel to the line y = 3x -2
(question 26 please)
Hey there! :)
Answer:
y = 3x -10
Step-by-step explanation:
An equation being parallel to the line y = 3x - 2 must contain the same slope, or 3.
Therefore:
Plug in the coordinate points into the formula y = mx + b along with the slope:
-4 = 3(2) + b
-4 = 6 + b
Subtract 6 from both sides:
b = -10.
Rewrite the equation in slope-intercept form:
y = 3x -10. This is the line that is parallel and passes through (2, -4).
Can someone help me solve this?
Answer:
(a) y = -3/5 x + 13/5
(b) y = 5/3 x + 1/3
Step-by-step explanation:
(a) The slope of the tangent line is dy/dx. Use implicit differentiation:
x² + y² + 4x + 6y − 21 = 0
2x + 2y dy/dx + 4 + 6 dy/x = 0
2x + 4 + (2y + 6) dy/dx = 0
x + 2 + (y + 3) dy/dx = 0
(y + 3) dy/dx = -(x + 2)
dy/dx = -(x + 2) / (y + 3)
At the point (1, 2), the slope is:
dy/dx = -(1 + 2) / (2 + 3)
dy/dx = -3/5
Using point-slope form of a line:
y − 2 = -3/5 (x − 1)
Simplifying to slope-intercept form:
y − 2 = -3/5 x + 3/5
y = -3/5 x + 13/5
(b) The normal line is perpendicular to the tangent line, so its slope is 5/3. It also passes through the point (1, 2), so point-slope form of the line is:
y − 2 = 5/3 (x − 1)
Simplifying to slope-intercept form:
y − 2 = 5/3 x − 5/3
y = 5/3 x + 1/3
HURRY PLZZ!!! THIS IS 90 POINTS!!! I WILL MARK BRANLYEST!!!! 2. A ladder is leaning against the outside wall of a building. The ladder is exactly 10 feet long and makes an angle of 60° with the ground. Let’s find the height the ladder reaches along the building. Label this height as x in your diagram. e. Use your calculator to find the value of sin 60°. In your equation, replace sin 60° with this number, and solve your equation to find the height up the wall. f. Now let’s figure out how far the base of the ladder is from the building. Label this distance as z in your diagram. i. Which trig ratio (sin 60°, cos 60°, or tan 60°) would be most helpful for finding z? _________ Explain. ii. Write and solve a trig equation to help you find z (Use #1d as a guide.)
Answer & Step-by-step explanation:
Answer:
answer is above in the attachment.Step-by-step explanation:
I hope this helps u toohave a nice day ✌please help i dont understand it
30 POINTS
Answer:
0.16 P(Yellow or Brown)=0.16
Answer: 0.44
Step-by-step explanation:
0.4 + 0.28 = 0.68
1.00 - 0.68 = 0.32
0.32 divided by 2.0 = 0.16
Total answer is 0.44
GLAD TO HELP:)
HAVE A NICE DAY!
BTW: I WAS DOING A TEST, BUT TOOK MY TIME TO HELP YOU! :)
PLEASE BRAINLEST ME!
* PLEASE ANSWER TY! *
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Circles.
thus the, Equation of circle with centres as (h, k) is given as,
(y-k)^2 + (x-h) ^2 = r^2
where, r is the radius if the circle.
so here, we can see that,
[tex] {r}^{2} = 100 \\ r = 10 \\ [/tex]
thus , we can say that, 2r = d
thus diameter = 20 units
Why is the domain of this function?
Answer:
Step-by-step explanation:
The answer is A
Which function represents g(x), a reflection of f(x) =
(10)^x across the x-axis?
g(x) = -2/5(10)^x
g(x) = -2/5(1/10)^x
g(x) =2/5(1/10)^-x
g(x) = 2/5(10)^-x
Answer:
Option A.
Step-by-step explanation:
Note: The given function should be [tex]f(x)=\dfrac{2}{5}(10)^x[/tex] instead of [tex]f(x)=(10)^x[/tex].
Consider the given function is
[tex]f(x)=\dfrac{2}{5}(10)^x[/tex]
We need to find the function which represents a reflection of f(x) across the x-axis.
If a function f(x) is reflected across the x-axis, then the new function is
[tex]g(x)=-f(x)[/tex]
Using this rule, we get
[tex]g(x)=-\dfrac{2}{5}(10)^x[/tex] [tex][\because f(x)=\dfrac{2}{5}(10)^x][/tex]
Therefore, the correct option is A.
Find the x-intercepts of the graph y = StartFraction 2 Over x squared EndFraction?
a.
(2, 0) and (-2,0)
c.
There are no x-intercepts
b.
(-1,0) and (1, 0)
d.
x-intercept is (3, 0)
Answer:
The answer is option c.
There are no x-intercepts
Hope this helps
answer this correctly NOW!! desperate
Answer:
t = 1 mins d = .7
Step-by-step explanation: It takes 10 mins for the robot to go 7 kio so you divided 7 by 10 to get .7
A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?
Answer:
The height of the tree is about 30 feet.
Step-by-step explanation:
tan(55) = h/21
*21 *21
21*tan(55)=h
29.99=h
h=29.99=30 feet
The height of the tree will be 30 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Given; A tree casts a shadow 21 m long.
The angle of elevation of the sun is 55°.
Let h be the height of tree.
Then the height of the tree will be;
tan(55) = h/21
21*tan(55)=h
29.99=h
h = 29.99 = 30 feet
Therefore, The height of the tree will be 30 feet.
More about the right-angle triangle link is given below;
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help plz im so dumb math
Answer:
the first one
Step-by-step explanation:
its right because you have to try and solve it out to get the answer so u subtract 4 the divide by 10 to get r= 8
Answer: 10r+4=84
Step-by-step explanation:
Since the problem states 10 reams of paper at an unknown price per ream of paper, we can write it as 10r. r is the price per ream of paper. the tax would be written as +4 because that is the tax stated. The 84 would be the total price. Therefore, the equation would be 10r+4=84.
When p = 12, t = 2, and s = One-sixth, r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation?
Answer:
[tex]k = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]p = 12[/tex]
[tex]t = 2[/tex]
[tex]s = \frac{1}{6}[/tex]
[tex]r = 18[/tex]
[tex]r\ \alpha\ p\ * \frac{1}{s * t}[/tex]
Required
Find the constant of variation
From the question, the variation is as follows
[tex]r\ \alpha\ p\ * \frac{1}{s * t}[/tex]
[tex]r\ \alpha\ \frac{p * 1}{s * t}[/tex]
[tex]r\ \alpha\ \frac{p}{s * t}[/tex]
Convert variation to equation
[tex]r\ = k\frac{p}{s * t}[/tex]
Where k represents the constant of variation
Make k the subject of formula;
Multiply both sides by s * t
[tex]r * s * t = k\frac{p}{s * t} * s * t[/tex]
[tex]r * s * t = kp[/tex]
Divide both sides by p
[tex]\frac{r * s * t}{p} = \frac{kp}{p}[/tex]
[tex]\frac{r * s * t}{p} = k[/tex]
[tex]k = \frac{r * s * t}{p}[/tex]
Substitute the values of p, r, s and t in the above equation
[tex]k = \frac{18 * \frac{1}{6} * 2}{12}[/tex]
[tex]k = \frac{6}{12}[/tex]
Divide numerator and denominator by 6
[tex]k = \frac{1}{2}[/tex]
Hence, the constant of variation is; [tex]k = \frac{1}{2}[/tex]
Answer:
b
Step-by-step explanation:
Imagine you have a very long belt. Well, extremely long, really … in fact, it’s just long enough that it can wrap snugly around the circumference of our entire planet. (For the sake of simplicity, let’s suppose Earth is perfectly round, with no mountains, oceans, or other barriers in the way of the belt.) Naturally, you’re very proud of your belt. But then your brother, Peter, shows up—and to your disgruntlement, he produces a belt that’s just a bit longer than yours. He brags his belt is longer by exactly his height: 6 feet. If Peter were also to wrap his belt around the circumference of Earth, how far above the surface could he suspend the belt if he pulled it tautly and uniformly?
Answer:
H = 0.95 feet
Step-by-step explanation:
The circumference of Earth = 2πR
My belt = 2πR (Where R is the radius of the Earth)
Peter's belt = 2πR+6
We have to find the Height "h" so the radius of the circle for Peter's belt becomes R+h So the expression becomes 2π(R+h)
But we already know,
Peter's belt = 2πR+6
So,
2πR+6 = 2π(R+H)
2πR + 6 = 2πR + 2πH
Subtracting 2πR to both sides
=> 6 = 2πH
OR
=> H = 6/2π
=> H = 3/π
Where π = 3.14
=> H = 0.95 feet
Answer: 0.00016 miles
Step-by-step explanation:
According to Google, the circumference of the Earth is 24,901.461 miles. Using the formula 2*pi*r = circumference, the radius of your belt is around 3963.19061 miles. Now, 6 feet is 0.001 miles. So his belt is 24,901.461+0.001 = 24,901.462 miles. Use 2*pi*r to get 3963.19077 miles, a full 0.00016 miles above the surface!