Answer:
The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A
1. Write the equation of a horizontal line that passes through the point (–2, 2). x = –2 y = –2 y = 2 x = 2
Answer:
x = 2
Step-by-step explanation:
The given point is (-2, 2). A horizontal line passing through this point is x = 2.
What is the solution of this system of equations?
x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)
Answer:
B. (-2,3)
Explanation:
First, we'll turn both lines to slope-intercept form:
x + 3y = 7
Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.
3x + 2y = 0
Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.
Now you can graph (I did it for you above⤴⤴⤴).
Hope this helps you :)
BRAINLIEST TO CORRECT PLEASE HURRY
Answer:
-32
Step-by-step explanation:
10. Is it possible for a regular polygon to have 240° as the measure of each of its interior
angles?
Step-by-step explanation:
No, it is not possible for a regular polygon to have 240° as the measure of each of
its interior angles.
according to the formula:
A = 180 - (360 /n)
where A is the interior angle
therefore, the A could be less than 180°
What is 34÷18? Explain or show your reasoning.
Answer:
1.8889
Step-by-step explanation:
Evaluate 51x3 - 21 + 7 when x = -2.
DONE
Answer:
-320 i guess
Step-by-step explanation:
51*-2*3-21+7=-320
(?)(3x — 2)= 24x^2 — 16x
[tex]\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix} (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x[/tex]
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is 400 meters. What dimensions for the rectangular region maximize the area of the rectangular region?
Answer:
width of rectangle = 2R = (200/π) = 400/π meters
length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters
Step-by-step explanation:
The distance around the track (400 m) has two parts: one is the circumference of the circle and the other is twice the length of the rectangle.
Let L represent the length of the rectangle, and R the radius of one of the circular ends. Then the length of the track (the distance around it) is:
Total = circumference of the circle + twice the length of the rectangle, or
= 2πR + 2L = 400 (meters)
This equation is a 'constraint.' It simplifies to πR + L = 400. This equation can be solved for R if we wish to find L first, or for L if we wish to find R first. Solving for L, we get L = 400 - πR.
We wish to maximize the area of the rectangular region. That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL. We are to maximize this area by finding the correct R and L values.
We have already solved the constraint equation for L: L = 400 - πR. We can substitute this 400 - πR for L in
the area formula given above: A = L·2R = 2RL = 2R)(400 - πR). This product has the form of a quadratic: A = 800R - 2πR². Because the coefficient of R² is negative, the graph of this parabola opens down. We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:
-b ± √(b² - 4ac)
Using the quadratic formula, we get R = ------------------------
2a
-800 ± √(6400 - 4(0)) -1600
or, in this particular case, R = ------------------------------------- = ---------------
2(-2π)
-800
or R = ----------- = 200/π
-4π
and so L = 400 - πR (see work done above)
These are the dimensions that result in max area of the rectangle:
width of rectangle = 2R = (200/π) = 400/π meters
length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters
grahm's birthday Is on 26th May which day of the week Is his birthday?
Answer:
Wednesday, 2021,Thursday, 2022
Thirty students were sent home for a week with a video game to play. Some were sent home with video game A, others with game B. The number of hours they spent playing the game is recorded below. Which game has a higher median number of hours, and how much higher is it than the median number of hours for the other game
Answer:
U never showed the thing below.
Step-by-step explanation:
HELPPP LAST ATTEMPT!!
is 6y +2 - y + 3 and 3 - y + 2 + 6y the same
Answer:
Step-by-step explanation:
Yes.
All you have done is changed the order. They are exactly the same.
You can sort of verify this by using
-4 + 6 - 8 + 2 = - 4
2 + 6 - 4 - 8 =
8 - 12 = - 4
calculate the interquartile range of 45 47 48 49 50 51 52 53 60
Answer:
48
I hope it helps.
The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences
Step-by-step explanation:
2 = 0.5^x - 4 is the same as
6 = 0.5^x
x is the logarithm of 6 to the base of 0.5.
which is the same as
log(6)/log(0.5) = -2.584962501...
please help! will mark brainlist
Answer:
Step-by-step explanation:
Group B, lower values of dots, with lower amounts of dots.
Whitney and Destiny hung out at the mall on Saturday. They spent 45 minutes shopping for clothes and 1 hour at the food court. Then they spent 30 minutes at the video arcade before heading home. It was 12:45 P.M. when Whitney and Destiny left the mall. What time did they start shopping for clothes?
Answer:
11.15 i think
Step-by-step explanation:
i put in the question as png pls help
Answer:
Screen shot it then save as then save as a png then turn it in
Step-by-step explanation:
Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?
Answer:
$34
Step-by-step explanation:
374/11=34
Answer:
One ticket cost $34
Step-by-step explanation:
Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=59(0.59)^x
what is the % increase
Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
What decimal is 0.77 %
Answer:
0.0077
Step-by-step explanation:
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function f(t) = 1500(1.074)t. Evaluate the
function when t=5. Round your answer to the nearest tenth.
A=
R=%
When t=5, f(5)=
The initial amount is the first number = 1500
Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%
Replace t with 5 and solve
1500(1.074) ^5 = $2143.45
Answer:
The growth rate is 7.4% and the initial amount is 1500. The answer when t=5 is 2143.45.
Step-by-step explanation:
Assuming this is actually supposed to be written as 1500*(1.074)^t, then this equation follows the standard growth form y = A(1+r)^t where A represents the initial amount, r represents the rate as a decimal, and t represents time. This means that 1500 (A) would be the initial amount, and if you subtract 1 from what's inside the paratheses, you will get the r rate as a decimal. To get this as a percent, simply multiply it by 100, so you will get 7.4% as your growth rate.
To find what the answer would be when t = 5, just plug in 5 for the value of t in the equation.
f(5) = 1500*(1.074^5)
f(5) = 1500*(1.42896)
f(5) = 2143.45
If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days. How long will it take for 80% of the material to decay?
Answer:
Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)
Step-by-step explanation:
For the given data it will take 8.69 days for 80% of the material to decay.
What is half-life?A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.
It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.
N₀ = 65 milligrams
t1/2=27.7 days
N(t)=0.8(65 milligrams)=52 milligrams
[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]
Here,
N(t) is the amount of the substance remaining
N₀ is the initial substance amount
t is the time elapsed
t1/2 is the half-life
Substitute the given values,
[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]
[tex]t = 8.69 \ days[/tex]
Thus, for the given data it will take 8.69 days for 80% of the material to decay.
Learn more about half-life here,
https://brainly.com/question/24710827
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If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?
Using simple interest, it is found that the principal loan amount was of $156,491.6.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.In this problem, she paid $984 monthly for 22 years, hence:
[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]
Interest rate of 3%, hence [tex]r = 0.03[/tex]
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]259776 = A(0)[1 + 0.03(22)][/tex]
[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]
[tex]A(0) = 156491.6[/tex]
The principal loan amount was of $156,491.6.
A similar problem is given at https://brainly.com/question/13176347
Find the value for x.
Answer:
x = 21Step-by-step explanation:
5x - 12 = 3x + 30
5x - 3x = 30 + 12
2x = 42
x = 21
---------------------
check
5 * 21 - 12 = 3 * 21 + 30
93 = 93
the answer is good
4.8 x 7 what is this problem?
Answer:
33.6
Step-by-step explanation:
This problem is a multiplication problem.
=> 4.8 x 7
=> 33.6
Therefore, the solution to 4.8 x 7 is 33.6.
The problem 4.8 x 7 is a multiplication problem. The solution to 4.8 x 7 is 33.6.
Here, we have,
given that,
The problem 4.8 x 7 is a multiplication problem.
To solve it, we multiply 4.8 by 7.
4.8 x 7
Therefore, the answer to the problem 4.8 x 7
This problem is a multiplication problem.
=> 4.8 x 7
=> 33.6
Therefore, the solution to 4.8 x 7 is 33.6.
To learn more on multiplication click:
brainly.com/question/5992872
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Miles is 33 year old and single in 2020 his only income consisted of $10500 in wages what is the maximum amount he can contribute to a traditional ira for 2020
Answer:
$6,000
Step-by-step explanation:
$6,000 Because miles younger than 50
1.3.2 checkup - lessons learned
2. What is the slope of the line represented by the table of values below? How do you know?
Answer:
y=2/3x-4
Step-by-step explanation:
we can see that x goes up 1 for every 1.5y and if we start y at 0 x starts at -4 so if y is one than x has to be 2/3-4 becuase it is -4 + 2/3 for every 1 y goes up or one for every 1.5 y goes up. hope this answer was helpful.
product of x and 4 is decreased by one-quarter
Answer:
x
Step-by-step explanation:
x times 4 = 4x
4x in 4 quarters: x x x x
One quarter^^ = x
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $
BBCdfinancial
Answer:
antiquarian
Step-by-step explanation:
Spanish civic
Write a linear function f give f(0)=2 f(3)=-1
Answer:
f(x) = ax + b,
Step-by-step explanation:
Am Not Really Sure About The Answer, So Pls Try And Cross Check It
