Since we want a line that is parallel to the x-axis (x=0) and passes through the point (4,1), then the only line that can meet the criteria is y=1
1,418 divided into 22
Answer:
here's your answer 64.45
Step-by-step explanation:
The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced to a mass of 7 mg.
Answer:
I think this is correct but im not sure..
Step-by-step explanation:
12 days is 3 half-lives ... so, 1/8 initial ... (1/2)^3 = 1/8
... initial is 8 mg
4 weeks is 7 half-lives ... 8 mg * (1/2)^7 = ?
Answer:
56 mgStep-by-step explanation:
Let the initial mass of sample is x mgWe have the following equation:
x* \((\frac{1}{2}) ^{12/4}\)= 7x*\((\frac{1}{2}) ^{3}\) = 7x*\((\frac{1}{8} )\) = 7x = 7*8x = 56 mgThe College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen knows scores at her school are normally distributed and collects a random sample of 50 students in her graduating class. Give a 95% confidence interval for the population mean. Round to the nearest tenth.
In hypothesis testing, null hypothesis (H0) is a claim that the person conducting the research wants to test while an alternative hypothesis (H1) is a contradiction of the null hypothesis.
There are two types of tests in hypothesis testing is known.
One tailed test: In first tailed test, a claim that a parameter is greater than/ less than a value is being tested.
mean > value or mean < value.
Second tailed test: In a two tailed test, a claim that a value is equal to a value is tested,
mean = value.
Since we can see that Colleen is testing the claim that the average score of her class is the same as others against that it is different from others.
Hence, the null hypothesis is H0: mean = 514
and the alternative hypothesis is H1: mean ≠ 514
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16 is what percent of 20?
Answer:
3.2
Step-by-step explanation:
A 455-foot fence encloses a
pasture. What is the length of each side
of the pasture?
Answer: 50 feet, 150 feet, 75 feet, and 180 feet
Step-by-step explanation:
The side lengths are x, 3x, 1.5x and 180 (in feet) and they must all add up to 455 feet, so ....
x + 3x + 1.5x + 180 = 455
(1+3+1.5)x + 180 = 455
5.5x + 180 = 455
Subtract 180 from both sides
5.5x = 275
x = 275/5.5
x = 50 feet , but that was not really the question.
The question was the 4 side lengths.
The lengths are x, 3x, 1.5x and 180, all in feet.
x = 50 feet ----> 50 feet
3x = 3(50 feet) ---> 150 feet
1.5x = 1.5(50 feet) ---> 75 feet
180 feet (given)
We check our work by adding the four sides ---> 50+150+75+180 = 455, so that looks good.
Don't forget to label the lengths in feet!
I hope this helps.
what percent of 157 is 119.3
Answer:
75.8 is your answer
Step-by-step explanation:
119:157*100 =
(119*100):157 =
11900:157 = 75.8
Answer:
187.301 is 157% of 119.3
Step-by-step explanation:
There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,
Answer:
150:30
Step-by-step explanation:
It's essentially saying 5:1, 5 girls to one boy.
so with this in mind.
150:x
150/5
30
therefore
150:30
Answer:
30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )
Step-by-step explanation:
1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.
Thats it lol.
Btw can I have brainliest if I got it correct please?
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
The graph of an exponential function, f(x), is shown. Move numbers to the blanks to describe how f(x) increases and grows over different intervals. The function f(x) increases by over the interval 0 to 1, by over the interval of 1 to 2, by over the interval of 2 to 3, and by over the interval of 3 to 4. Therefore, this exponential function grows by a factor of over every interval of 1. 1 2 3 4 5 6 8 9 13 17
By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)
It increases by 2 over the interval 1 to 2.
by 4 over the interval 2 to 3.
And by 8 over the interval 3 to 4.
Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)
Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value x in the secant line using the Intersecting theorem is 4.
What is the value of x?Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the figure:
First sectant line segment = ( x - 1 ) + 5
External line segment of the first secant line = 5
Second sectant line segment = ( x + 2 ) + 4
External line segment of the second secant line = 4
Using the Intersecting secants theorem:
5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )
Solve for x:
5( x - 1 + 5 ) = 4( x + 2 + 4 )
5( x + 4 ) = 4( x + 6 )
5x + 20 = 4x + 24
5x - 4x = 24 - 20
x = 4
Therefore, the value of x is 4.
Option C) 4 is the correct answer.
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Each volleyball set costs $63.74.
Which equation represents the cost, c, of n sets?
The equation that represents the cost, c, of n sets is c = 63.74n
Which equation represents the cost, c, of n sets?from the question, we have the following parameters that can be used in our computation:
Each volleyball set costs $63.74.
Let the total number of sets be n
So we have
Cost of n = 63.74 * n
This gives
c = 63.74n
Hence, the equation is c = 63.74n
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PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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In a recent year, 27.4% of all registered doctors were female. If there were 55,600 female registered doctors that year, what was the total number of registered doctors?
Answer:
The total number of registered doctors is 202,920 rounded.
Step-by-step explanation:
Solve for (x) in this equation: 27.4/100 = 55,600/(x)
You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920
To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.
Which number line model shows the subtraction-3-52
a
O A.
-
-10 -8 -6 -4 -2 0 2 4 6 8 10
OB.
-10 -8 -6 4 2 0 2 4 6
8
10
OC
Ø Ø 3
o o o o o
D.
10 -8 -6 -4
-2.
0
2
6
8 10
-10 -8
-4 20
4 6 8 10
Answer:
C
Step-by-step explanation:
two steps, three to the left and 5 to the left.
A car goes from 12 m/s to a complete stop in 55 s. What is the acceleration?
If a car goes from 12 m/s to a complete stop in 55 seconds, the acceleration is -0.22 meter per second square
The initial velocity of car = 12 m/s
The final velocity of car = 0 m/s
The time taken = 55 seconds
We know,
v = u + at
Where v is the final velocity
u is the initial velocity
a is the acceleration
t is the time taken
Substitute the values in the equation
0 = 12 + a× 55
55a = -12
a = -12/55
a = -0.22 meter per second square
Hence, if a car goes from 12 m/s to a complete stop in 55 seconds, the acceleration is -0.22 meter per second square
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please answer thanks
Answer:
ED = 31
DT = 20
Step-by-step explanation:
m< ESD = 90-52=38°
the distance ED = 40×tan 38° = 31.25 = 31
ET = 40 x tan (90-38) = 40×tan 52°
= 51.19= 51
the distance DT = 51-31 = 20
Question 14 (essay worth 12 points)
(writing two step equations HC)
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
A. Ram spent $18 on six pens and six books. The grand total is $72.
B. The cost of each pen is $9.
C. The variable is called x.
What is an equation?
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Here, we have
Given: the equation 6x + 18 = 72:
A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.
B. The following equation will be used to demonstrate this:
6x + 18 = 72
Compile similar terms.
6x = 72 - 18
6x = 54
On dividing,
x = 54 / 6.
x = $9
Hence, each pen will set you back $9.
C. The variable's value is x = 9.
Hence, the pen's price is 9.
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Please HELP. i’ll mark brainliest
The earliest transistors are about 10⁶ times greater than todays transistors
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Ratio of earliest transistor to today's transistor = (1 * 10⁴) / (1 * 10⁻²) = 10⁶
The earliest transistors are about 10⁶ times greater than todays transistors
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Erica works in a soda-bottling factory. As bottles pass her on a conveyer belt, she puts caps on them. Unfortunately, Erica sometimes breaks a bottle before she can cap it. She gets paid 10 cents for each bottle she successfully caps, but her boss deducts 1 cent from her pay for each bottle she breaks. Erica is having a bad morning. 26 bottles have come her way, but she has been breaking some and has only earned 18 cents so far today. How many bottles has Erica capped and how many has she broken?
Answer:
She has capped 4 correctly and broke 22.
Look at the paper for solution.
She needs a new job.
Which of the following is a valid step in the solution of 4√2x + 4√x + 3 = 0?
Answer:
is D and the second question is C
explanation:
Answer:
d and c
Step-by-step explanation:
PLEASE HELP ASAP
A line that passes through the points (-1, -4) and (4, 2) is shown.
Which equation is the equation of the line that is perpendicular to the given line and passes through the point (-3, 7) ?
Answer:
D
Step-by-step explanation:
slope of the given line :
(-4-2)/(-1-4)
-6/-5
6/5
slope of a perpendicular line : -5/6
y-7 = -5/6 (x-(-3)
y -7 = -5/6 (x+3)
y -7 = -5/6 x - 5/2
5/6 x + y - 7 + 5/2 = 0
5/6 x + y + (-14 + 5)/2 = 0
5/6 x + y - 9/2 = 0
5x + 6y - 27= 0
5x + 6y = 27
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, - 4 ) and (x₂, y₂ ) = (4, 2 )
m = \(\frac{2-(-4)}{4-(-1)}\) = \(\frac{2+4}{4+1}\) = \(\frac{6}{5}\) ← slope of graphed line
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{6}{5} }\) = - \(\frac{5}{6}\) , then
y = - \(\frac{5}{6}\) x + c ← is the partial equation of the perpendicular line
to find c substitute (- 3, 7 ) into the partial equation
7 = \(\frac{5}{2}\) + c ⇒ c = 7 - \(\frac{5}{2}\) = \(\frac{14}{2}\) - \(\frac{5}{2}\) = \(\frac{9}{2}\)
y = - \(\frac{5}{6}\) x + \(\frac{9}{2}\) ← equation in slope- intercept form
multiply through by 6 ( the LCM of 6 and 2 ) to clear the fractions
6y = - 5x + 27 ( add 5x to both sides )
5x + 6y = 27 ← equation of perpendicular line in standard form
Numbers are -3 square root 15 ( square root 5+2)
Solution
Solve the surds form below
\(-3\sqrt{15}(\sqrt{5}+2)\)Step 1:
\(\begin{gathered} -3\sqrt{15}(\sqrt{5}+2) \\ Applying\text{ distributive rule} \\ -3\sqrt{15}.\sqrt{5}-3\sqrt{15}(2) \end{gathered}\)Step 2 :
Simplify
\(\begin{gathered} -3\sqrt{75}-6\sqrt{15} \\ -3(5)\sqrt{3}-6\sqrt{15} \\ -15\sqrt{3}-6\sqrt{15} \end{gathered}\)Hence the final answer is
\(-(15\sqrt{3}+6\sqrt{15})\)Two increased by the product of a number and 7 is at most -29
The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Write your equation:
plsssssss helppppp
Answer:
The equation is y = 50 + 25x. The slope is the additional cost per hour, and the y-intercept is the cost of the service call to appear at the house.
I have a circle that has a radius of 8 in. What is the circumference of the circle? What is the area of the circle? ( use 3.14 for pi).Explain your steps. Please Give A clear explanation The best answer gets brainliest.
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.
The area formula is A = πr² where A = Area, π = pi and r = radius. Again, we're solving for A and we know that r = 8 and π = 3.14 so A = 3.14 * 8² = 3.14 * 64 = 200.96 in².
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
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Write the sentence as a proportion: 4 wins in 7 games is the same as 116 wins in 203 games.
Answer:
4/7=116/203
Step-by-step explanation:
35+36+37+38+...+121+122
6908
hope this helps!
Form kENNY
XD:D:>:)
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The rectangle below has the dimensions:
5.3 × 5.7
Create another rectangle that is scaled to 4
times the size of the current rectangle.
Answer:
A rectangle of 10.6 x 11.4 dimensions.
Step-by-step explanation:
(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.