Answer:
[tex]c=20[/tex]
Step-by-step explanation:
The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:
[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]
which of the following is parallel to 8x+3y=1?
1. 3x-8y=1
2.3x+8y=5
3. 8x-3y=2
4.16x+6y=1
Answer:
4.16x+6y=1
Step-by-step explanation:
The given equation of the line is:
8x + 3y = 1
From this line, we need to re-arrange and write in the form of the equation of a straight line.
The equation of a straight line is given as:
y = mx + c
8x + 3y = 1
3y = -8x + 1
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{-8}{3}[/tex]
Any line from the given choices that will be parallel to the is must have the same slope as it is.
That line is 16x + 6y = 1
6y = -16x + 1
y = [tex]\frac{-16x}{6}[/tex] + [tex]\frac{1}{6}[/tex]
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{6}[/tex]
A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar
A circular mirror has a diameter of 22 inches. Which measurement is closest to the area of the mirror in square inches
Answer:
379.94 square inches, or 379.94 in².
Step-by-step explanation:
The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.
Since the formula says r², 11 needs to be squared, or multiplied once by itself. 11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.
With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².
Let me know if I need to change or clarify anything. I hope this helps! :D
Answer:
19.6ft2
Step-by-step explanation:
f(x) = –22 + 10x – 2
Find f(-5)
Answer:
f(-5) = -74 you have to change the x to -5 and then solve
what are two ratios that are equivalent to 1:1
Answer:
2:14 and 3:21
Step-by-step explanation:
Help Pleaseeeeeeeeeeeeee!!!!!!!!! Help!!!!!!!
Answer:
i think its C and E
Step-by-step explanation:
( correct me if im wrong, i hope this helps!! )
i giveeeeeeeeeeee brainlilstttttttttttttttt
Please help me with this :,)
Answer:
alright gotcha!
Step-by-step explanation:
I am attaching the photo gimme some time
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!
how many hours and minutes are there between 9:30 and 1:50
Answer:
4 hours and 20 minutes!
Answer:
Step-by-step explanation:
PM or AM?
If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.
if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.
If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?
Answer:
0.1416
Step-by-step explanation:
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.
The probability in a random sample of 32 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]
P-value from Z-Table:
P(x<32) =
The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.
The probability in a random sample of 36 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]
P-value from Z-Table:
P(x<36) = 0.0086945
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be
[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
In the diagram below, AB is parallel to CD. What is the value of x?
B
459
A. 30
B. 45
C. 60
D. 135
Answer:
Could you show the diagram?
Which example shows the distributive property?
a. a (b + c) = ab +ac
b. (a + b) + 9 = a (9 + b)
c. a + a + a = 3a
d. a(0)
Need help fast!!
Read the problem in the box below. See if you can figure out the most logical
answer.
If Jay ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday,
and 3 miles in 18 minutes on Wednesday, how many miles do you think he
might run in 24 minutes on Thursday?
A. 4 miles
B. 3 miles
C. 5 miles
D. 2 miles
SUBMIT
Answer:
4 miles
Step-by-step explanation:
four times six equals 24
its the number of miles times six equals the minutes
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is
Answer:
the slope is 4,3 and the y intercept is 2
Answer:
Niiger
Step-by-step explanation:
The cost to the store is $45. They will use a 35% markup. What is the selling price?
HELP!!! find the value of x
Answer:
don't know
.....................
Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]
Now user Pythagoras on triangle 2.
[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]
Now use Pythagoras on triangle 3 (the big triangle).
[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]
Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:
[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]
The two [tex]x^{2}[/tex] get cancelled out, so:
[tex]6x + 9 = 45 + 36\\x = 12[/tex]
TA DA!
What is the solution
A. -2
B.1
C.(1,2)
D.(1,-1)
Answer:
Option D
Step-by-step explanation:
Two lines given in the graph represent the system of linear equations.
Solution of the system of linear equations is given by the common points of both the lines Or point of intersections of these lines.
Point of intersection of these lines → (1, -1)
Therefore, solution of the given system of equations will be (1, -1)
Option D is the answer.
15 points!! Please help
Answer:
3 feet
Step-by-step explanation:
Answer:
3 feet
Step-by-step explanation:
A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.
1.2 x 2.5 is 3
3 ft is the answer
2 divided into 3 multiply 1
Answer:
either 2/3
or 3/2
but its probably 2/3
thanks for the easy points!
Step-by-step explanation:
A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at
Answer:
THE swords men and archer men will take over
Step-by-step explanation:
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$
Answer:
(a) 0.3863
(b) $693
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
We solve this question using the z score formula
z = (x-μ)/σ
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x > $646
z = $646 - $633/$45
z = 0.28889
Probability value from Z-Table:
P(x<646) = 0.61367
P(x>646) = 1 - P(x<646) = 0.38633
Approximately = 0.3863
The probability that the actual costs will exceed the budgeted amount is 0.3863
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.
Let the budgeted amount = x
Converting 0.09 to percentage = 0.09× 100% = 9%
100 - 9% = 91%
We find the z score of 91%
= 1.341
We are to find x
Using z score formula
z = (x-μ)/σ
1.341 = x - 633/45
Cross Multiply
1.341 × 45 = x - 633
60.345 = x - 633
x = 60.345 + 633
x = $693.345
Approximately to the nearest dollar is $693
Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.
Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers
Answer:
im taking a nap
Step-by-step explanation:
What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km
The area of figure will be;
⇒ 105.56 km²
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The figure is shown.
Now,
The area of figure is find as;
Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)
= 84 + 3.14 × 4 + 9
= 93 + 12.56
= 105.56 km²
Thus, The area of figure will be;
⇒ 105.56 km²
Learn more about the area visit:
https://brainly.com/question/11564229
#SPJ1
A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?
9514 1404 393
Answer:
80.67 fps
Step-by-step explanation:
1 mi/h = 22/15 ft/s
Multiplying this equation by 55, we get ...
55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s
help pls due today thanks
Answer:
18/3 is 6
-18/3 is -6
-18/(-3) is 6
18/(-3) is -6
What percent of the large square is shaded?
Answer:
48%
Step-by-step explanation:
a little less than half is shaded
The percent of the shaded square will be 48%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A large square is shown in figure.
Now,
In a figure,
The number of small squares = 100
And, Number of shaded squares = 48
Hence, The percent of shaded square = 48/100 × 100
= 48%
Learn more about the percent visit:
brainly.com/question/24877689
#SPJ2
A line passes through the points (-4, 8) and (3, -7).
Answer all parts of the question.
Part A: What is the slope of the line that passes through these points.
Part B: What is the equation of the line that passes through these points.
Part C: Where does the line intersect the x-axis and y-axis?
Answer: (hope I got them correct)
A) -15/7
B) [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex]
C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).
Step-by-step explanation:
A) Slope = [8-(-7)]/(-4-3) = -15/7
B) Let [tex]y=-\frac{15}{7}x+c[/tex] be the required equation.
Substitute x=-4, y=8.
8=(-15/7)(-4)+c
c=-4/7
The equation is therefore [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex].
C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).
Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).