Answer:
r = 2
Step-by-step explanation:
(2-3)/(6-5)
= -1/1
= -1
Use the graph of the polynomial function to find the factored form of the related
polynomial. Assume it has no constant factor.
A. (x + 2)(x+2)
B. x(x-2)
C. x(x + 2)
D. (x-2)(x + 2)
Answer:
d
Step-by-step explanation:
the answer would be (x-2)(x+2)
thisss guyyy iss looooking fine . but why so serioussss hahahaha. when guysss be looking at you like this. does it make you blush what do u doo.
Answer:
no- it doesnt make me blush- and uh- i look at them and then away- and then start to draw or read-0-0
Step-by-step explanation:
Find the measure of the exterior angle.
Answer:
The exterior angle is 77
Step-by-step explanation:
The measure of the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
2x+11 = x +44
First we need to find x
Subtract x from each side
2x+11-x = x+44
x +11 = 44
Subtract 11 from each side
x+11-11 = 44-11
x =33
Now we can find the exterior angle
2x+11 = 2(33)+11 = 66+11 = 77
The exterior angle is 77
Solve for K
K/2 + 1/2 =3
Answer:
probably maybe 5
Step-by-step explanation:
it looks like you want to multiple 2 to each side to eliminate that denominator. then maybe subtract that 1 away to isolate k. it might equal 5 I'm doing it in my head
Answer:
k = 5
Step-by-step explanation:
k/2 + 1/2 = 3
k + 1 = 6 (multiplying all the terms with 2)
k=6‐1
k = 5
plz mark me as brainliest
-15+7.5(2d-1)=7.5 what is d
Answer:
d=2
Step-by-step explanation:
PLEASE HELP! 43 POINTS
Brenda invited 32 people to her graduation party. If each person will drink about 3 cups of punch, how many gallons of punch does Brenda’s mom need to buy?
How many quarts is this equal to?
Answer:
1 gallon = 16 cups
3 cups per person
32 people
32x3=96/16=6
she needs 6 gallons
Myron created a scale drawing of the school library in his art class. In the scale drawing, the
length of the library is 13 inches. Then length of the actual library is 78 feet. Which scale did
Myron use to create the scale drawing of the school library?
The scale which Myron used to create the scale drawing of the school library is the scale of reduction and the scale represents 6 feet for 1 inch.
As we are given that Myron created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13 inches and the actual length of the actual library is 78 feet.
So, the size of the drawing is less than the size of the actual length of the actual library.
So, it is the scale of reduction.
We can see:
13 inches represent the actual length of 78 feet.
1 inch will represent the actual length of 78 / 13 = 6 feet.
So, the scale represents 6 feet for 1 inch.
Thus, the scale which Myron used to create the scale drawing of the school library is the scale of reduction and the scale represents 6 feet for 1 inch.
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How to solve number 2
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Given that,
In the picture we have a graph,
We have to find the congruent figures.
In terms of geometry, congruent means having the same dimensions and form. Figures, angles, and line segments can all be used to demonstrate congruence. If two angles have the same measure, they are said to be congruent. When the corresponding sides and angles of two triangles are equal, two triangles are said to be congruent.
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Therefore, The congruent figures are rectangles that are ABCD is congruent to JKLM.
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A robot moves in the positive direction along a straight line so that
after t minutes its distance is s=6t^(4) feet from the origin. (a) Find
the average velocity of the robot over the interval 2,4. (b) Find the
instantaneous velocity at t=2.
The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.
Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet
We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.
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Graph the line going through (-6,1) with a slope of -2/3.
A graph of the line going through the point (-6, 1) with a slope of -2/3 is shown in the image below.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (-6, 1) and a slope of -2/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1 = -2/3(x + 6)
y = -2x/3 - 4 + 1
y = -2x/3 - 3
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a telemarketing company is conducting a study of new calling scripts. seventy-five employees will be randomly assigned to three new scripts using a table of random digits. the study leader will assign the subjects to the groups using a table of random digits. how many unique two-digit numbers within the range of 01 to 75 will the study designer need to select from the table? 3 25 50 75
Answer:
50
Step-by-step explanation:
how would I find consecutive numbers (any example works!)
Step-by-step explanation:
Hey there!
Consecutive numbers are those numbers which comes from one after another without any gaping.
You can find consecutive numbers easily.
To find:
Natural consecutive numbers= 1,2,3,4,5.........
If your first natural number is "n" next is "n+1". Suppose if your first number is 1 when you add "1" again it becomes "2".
To find:
Consecutive even number= 2,4,6,8...............
In every step 2 more is added.
Steps : Let first number be "x" then second number is "X+1". Then 3rd number will be "x+4".
Suppose your first number is 2 then second will be 2+2= 4.
To find:
Consecutive odd number= 1,3,5,7,9.........
In every step add 2.
Steps: Let first number be "x" then second number will be "x+2". Suppose your first number is 5 then 2nd number will be 5+2=7.
Note: consecutive odd and consecutive even number has difference of 2 so, after 1st number we add 2 to find next number.
So, in this way we find consecutive numbers.
Hope it helps...
Fill in each box to make the statements true.
The ____ function is written f(x) = ⌊x⌋ and rounds numbers ___ to the nearest integer. The graph of f(x) = ⌊x⌋ includes the point (174, ___ ).
Which two consecutive integers does −v30
lie between?
A) 5 and 6
B) 6 and 7
C) −5 and −6
D) −6 and −7
Answer:
√
36
=
6
lies between consecutive odd integers
5
and
7
.
Step-by-step explanation:
"The" square root of
36
is itself an integer, namely
6
, since
6
2
=
36
. So it does not lie between consecutive integers.
It does lie between consecutive odd integers
5
and
7
.
Note that
36
has another square root, namely
−
6
, since
−
6
satisfies:
(
−
6
)
2
=
36
determine whether the statement is true or false. −c f(x, y) ds = − c f(x, y) ds
The expression as given above: "−c f(x, y) ds = − c f(x, y) ds" seems to be true.
Both expressions, the left-hand side, −c f(x, y) ds and the right-hand side, − c f(x, y) ds:
represent the same mathematical operation. The mathematical equation represented here is obtained by multiplying the function f(x, y) by a constant -c and integrating it with respect to the variable ds. The placement of the constant -c does not affect the result, so the two expressions are equivalent.
Thus, both expressions (right-hand and left-hand sides) are the same. Hence, the statement is true.
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Choose the two expressions that are equivalent to 5. 75 ÷ 1. 15
A: 575 ÷115
B: 5,750 ÷ 1,150
C: 5,750 ÷ 115
D: 575 ÷ 1,150
Answer:
A and B, but I’m gonna explain it the best I can too.
Step-by-step explanation:
5.75 divided by 1.15 is the same as answer A, since all you are doing is taking away the periods, making it whole numbers.
Again 5.75 divided by 1.15 is the same as B as well, Since it is the same just without the periods and an added zero at the end of each.
This Is so that they are both all equivalent by being whole numbers, but whatever you do to one numbers in the expression that you think is the answer you have to do to the other numbers in the expression
they have to add up completely the same.
If there are 4.8 grams of a radioactive substance present initially and 0.4 grams remain after 13 days, what is the half life?
Half life of the radioactive substance is 3.6 days
How to calculate the half life of the substanceThe half life of the element is calculated from the formula
N(t) = N'(1/2)^(t/t')
N(t) = quantity of the substance remaining
N' = initial quantity of the substance
t = time elapsed
t' = half life of the substance
0.4 = 4.8 (0.5)^13/t'
0.4 / 4.8 = (0.5)^13/t'
take natural logarithm of both sides
㏑(0.4/4.8) = 13/t' ㏑(0.5)
divide through by natural log of 0.5
-2.4849 / ㏑(0.5) = 13/t'
13/t' = 3.58496
t' = 13 / 3.58496
t' = 3.626 days
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mmon Core Algebra I - MA3109 B-IC
Activity
Vertical Stretches and Shrinks of Exponential Functions
Assignment Active
Identifying a Function
Which is a stretch of an exponential decay function?
◎m=²[
Of(x) = -(5)
Of(x) = 5(²)
O fix) = 5(5)*
The stretch of an exponential decay function is y = 2(1/5)ˣ
Which is a stretch of an exponential decay function?From the question, we have the following parameters that can be used in our computation:
The list of exponential functions
An exponential function is represented as
y = abˣ
Where
a = initial valueb = growth/decay factorIn this case, the exponential function is a decay function
This means that
The value of b is less than 1
An example of this is, from the list of option is
y = 2(1/5)ˣ
Hence, the exponential decay function is y = 2(1/5)ˣ
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Complete question
Which is a stretch of an exponential decay function?
Of(x) = -(5)ˣ
Of(x) = 5(2)ˣ
O fix) = 2(1/5)ˣ
if x is a random variable following the binomial distribution b(n, 3/n), what distribution can you approximate the distribution of x to for large n?
We can approximate the distribution of x to a normal distribution with mean μ = 3 and variance σ² = 3(1-3/n).
When n is large, the binomial distribution with parameters n and p can be approximated by a normal distribution with mean μ = np and variance σ² = np(1-p). This is known as the normal approximation of the binomial distribution.
In this case, x is a binomial distribution with parameters n and p = 3/n. As n gets larger, p gets smaller and the normal approximation becomes more accurate.
Therefore, we can approximate the distribution of x to a normal distribution with mean μ = 3 and variance σ² = 3(1-3/n).
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Given question is incomplete, the complete question is below
if x is a random variable the binomial distribution, b(n, 3/n). What distribution can you approximate the distribution of x to for large n?
There are 5 identical coins, each with one side labeled heads and the other side labeled tails. You throw the coins on the floor and consider two possible outcomes: 1.) 4 coins show heads and 1 shows tails.
The probability of getting 4 coins showing heads and 1 showing tails is approximately 15.625%.
When throwing the 5 identical coins, there are a total of 32 possible outcomes. This is because each coin has 2 possible outcomes (heads or tails), and since there are 5 coins, we multiply 2 by itself 5 times \((2^5 = 32).\)
To determine the probability of getting 4 coins showing heads and 1 showing tails, we need to calculate the number of favorable outcomes. In this case, we have 5 different ways to choose which coin shows tails (since there are 5 coins), and for each of those choices, there is only 1 possible outcome where that specific coin shows tails and the other 4 coins show heads.
So, the probability of getting 4 coins showing heads and 1 showing tails is 5/32.
To calculate the probability as a decimal or percentage, we simply divide 5 by 32:
5/32 ≈ 0.15625 ≈ 15.625%
Therefore, the probability of getting 4 coins showing heads and 1 showing tails is approximately 0.15625 or 15.625%.
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The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
.
The center of the circle is at the point
, and its radius is
units.
The general form of the equation of a circle that has the same radius as the above circle is
.
Answer:
Step-by-step explanation:
x² + y² + 42x + 38y - 47 = 0
Put the equation into standard (center-radius) form:
regroup terms
(x²+42x) + (y²+38y) = 47
complete the squares:
(x²+42x+21²) + (y²+38y+19²) = 47 + 21² + 19²
(x+21)² + (y+19)² = 849
center at (-21,-19)
radius = √849 units
The general form of the equation for a circle with radius √849 units is:
(x-h)² + (y-k)² = 849
where the (h,k) is the center.
Find the zeros of the quadratic equation: y = x^2 + 64
Answer: X=-8
Step-by-step explanation:
(x+8)(x+8)= 0
x=-8
Maya bought snacks for her team's practice. She bought a bag of oranges for $2.87 and a 3-pack of juice bottles. The total cost before tax was $6.38. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Answer:
total cost=$6.38
orange cost=$2.87
6.38-2.87=3.51
$3.51/3=$1.17 for a pack of juice
1 pack of juice =$1.17
Step-by-step explanation:
hope this helps good luck
Tina runs at a reate of 8 miles per hour. at that rate, how many miles will she run in 12 minutes
Three friends entered a race around a track. Edward takes 6 minutes to run one lap. Bernie takes 3 minutes to run one lap and it takes Freddie 5 minutes to run one lap. If all three friends begin the race at the same time, how many minutes will it take for all three friends to be at the starting point again?
Answer:
It will take 30 minutes
Step-by-step explanation:
Here, we want to calculate the time it will take for the three friends to be at the starting point again
What we do here is to note the time it will take for each of the three friends to run a lap
That will be 6 , 3 and 5
What we now need to know the time is to find the lowest common multiple of the three amount of time
The lowest common multiple of 6,3 and 5 is 30
So the amount of time it will take the friends to be at the starting point again is 30 minutes
Find the value of x.
Round to the nearest tenth.
34
A
B
26°
x = [? ]°
X
C
15
Answer: 83.5
Step-by-step explanation:
\(\frac{\sin x}{34}=\frac{\sin 26^{\circ}}{15} \\\\\sin x=\frac{34 \sin 26^{\circ}}{15}\\\\x=sin^{-1} \left(\frac{34 \sin 26^{\circ}}{15} \right) \approx \boxed{83.5}\)
Answer:
x ≈ 83.5° or 96.5° (two possible values)
Step-by-step explanation:
The relationship between side lengths of a triangle and their opposite angles is given by the Law of Sines: side lengths are proportional to the sines of their opposite angles.
__
In this problem, the Law of Sines tells us ...
sin(A)/BC = sin(C)/AB
sin(C) = sin(A)·AB/BC
Using x for angle C, solving for x, and using the inverse sine function, we find ...
x = arcsin(sin(26°)·34/15) ≈ arcsin(0.993641)
The arcsine function returns a value in the range 0–90°, but the supplemental angle in the rangle 90°–180° can have the identical sine value.
x ≈ 83.5° or 96.5°
_____
Additional comment
For the graph in the attachment, we have set the angle mode to degrees. The solutions to f(x)=0 are solutions to the problem: 83.5° and 96.5°.
The triangle in the figure appears to be an acute triangle. The value of x for an acute triangle would be 83.5°. Often, we cannot take these figures at face value.
2, -3, -8,...
find the 64th term or the arithmetic sequence
Answer: -313
Step-by-step explanation:
64*5 = 320 + 2 +5
as discussed in class, if on any given day the dallas water district took 50 water samples can conducted the mpn tests. on that day the presumptive water tests at the water purification plant showed the following results: 97% of the water samples tested were free of any coliform bacteria. the remaining 3% of the samples had no more than 1 coliform per sample. what does this mean for you the consumer?
According to the EPA Clean Water Act regulations, all of the water that day is safe to drink.
To safeguard the standard of drinking water in the United States, the Safe Drinking Water Act (SDWA) was created. This legislation applies to all waters that are now or conceivably intended for consumption, whether they originate from above-ground or subsurface sources.
The Act mandates that all owners or operators of public water systems adhere to these fundamental (health-related) criteria and gives EPA the authority to set minimum standards to safeguard tap water.
The 1996 modifications to the SDWA mandate that while setting these criteria, EPA takes into account a thorough risk and cost evaluation as well as the finest peer-reviewed science.
The attainment of secondary standards is also encouraged by state governments, which may be authorized to implement these EPA regulations.
In accordance with the Act, EPA also establishes minimum requirements for state programs to safeguard underground water sources from being endangered by fluid injection underground.
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HELP I NEED THIS DONE NOW!
Find the error in the calculations shown, and then evaluate the expression correctly.
-3.8 - (7.2 - 10 3/8
3.8+(-7.2 - 10 3/8
(-3.8+(-7.2)) – 10 3/8
- 11 - 10 3/8
11+ 10 3/8
21 3/8
Answer:
-3.8 - (7.2-10 3/8)
-3.8+(-7.2+10 3/8) this is the error, it's positive 10 3/8, not negative, then you should solve what's in the parentheses first
I simplified 10 3/8 into 83/8 and then 10.375
-3.8+(-7.2 + 10.375)
-3.8+ 3.175 = -0.625
in the figure lines l and m are parallel lines cut by transverse p
Answer:
The correct answer is:
Option C: Corresponding angles are congruent.
Step-by-step explanation:
Given that l and m are two parallel lines and the transversal p intersects them. When a transversal intersects two parallel lines, 8 angles are formed which are named based on their positions.
The angles which are on one side of the transversal and are in matching corners are called corresponding angles.
In the given diagram, ∠2 and ∠3 are in the matching corner so they are corresponding angles.
In case of parallel lines, corresponding angles are congruent.
So,
If Andrea is saying that ∠2 and ∠3 have same measurement then its correct because they are corresponding angles.
So,
The correct answer is:
Option C: Corresponding angles are congruent.
Answer:
m∠2 = m∠3 because Corresponding angles are congruent ⇒ C
Step-by-step explanation:
In the given figure
∵ Line l and line m are parallel
∵ Line p is the transversal
∵ ∠2 is over the line l
∵ ∠3 is over the line m
∵ ∠2 and ∠3 are on the same side of the transversal p
∴ ∠2 and ∠3 are corresponding angles
∵ Corresponding angles are equal in measures
∴ m∠2 = m∠3
∵ m∠2 = 40°
∴ m∠3 = 40°
∴ m∠2 = m∠3 because corresponding angles are congruent