hello
to solve this question easily, let's convert 3/4 to decimals
\(\frac{3}{4}=0.75\)so, from the question, 18 miles can be convered in 3 hours i.e
\(18mi=3h\)x miles will be convered in 0.75hr
\(x=0.75h\)let's equate both equations and solve for x
\(\begin{gathered} 18mi=3h \\ x=0.75 \end{gathered}\)cross multiply both sides and solve for x
\(\begin{gathered} x\times3=18\times0.75 \\ 3x=13.5 \\ \end{gathered}\)divide both sides by coefficient of x
\(\begin{gathered} \frac{3x}{3}=\frac{13.5}{3} \\ x=4.5mi \end{gathered}\)from the calculations above, 4.5 miles will be covered in 3/4 hours
the answer is option B
Find the volume of the sphere with a diameter of 22 and round to the nearest 10
Answer:
\(\huge\boxed{\sf Volume = 16728.8 \ units^3}\)
Step-by-step explanation:
Diameter = 22 units
Radius = 11 units
\(\rule[225]{225}{2}\)
\(\sf Volume = \frac{4}{3} \pi r^3\\\\Volume = \frac{4}{3} (3.14)(11)^3\\\\Volume = \frac{4}{3} (3.14)(1331)\\\\Volume = \frac{4}{3} (4184.5)\\\\\bold{Volume = 16728.8 \ units^3}\)
\(\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Find the area of the blue-shaded region. Please help I need it asap. The answer is 20.0m squared I cannot figure out the work for it
The area of the blue-shaded region is 19.95 m²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,
Using the Pythagoras theorem,
15.5² = 14²+w² [width]
w² = 240.25-196
w² = 44.25
w = 6.65
Therefore, the width of the rectangle is 6.65 m
That mean, the height of the parallelogram is 6.65 m,
The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,
Area of the remaining region = 14×6.65-11×6.65
= 6.65(14-11) = 6.65×3
= 19.95 m²
Hence, the area of the blue-shaded region is 19.95 m²
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What is g^-1(x)? What is the domain of g^-1(x)?
Please help!! It’ll be greatly appreciated!!
Answer: \(g^{-1}(x) = \frac{1-4x}{x}\)
Domain of the inverse is any real number but x cannot equal zero
Domain in set builder notation = \(\{x | x\in\mathbb{R} , \ x \ne 0\}\)
Domain in interval notation = \((-\infty, 0) \cup (0, \infty)\)
================================================
Let's make h(x) be the inverse of g(x)
g(x) = 1/(x+4) is the same as y = 1/(x+4).
To find the inverse, we swap x and y, then solve for y like so....
y = 1/(x+4)
x = 1/(y+4) .... x and y swap
x(y+4) = 1
xy+4x = 1
xy = 1-4x
y = (1-4x)/x
h(x) = (1-4x)/x is the inverse of g(x)
We can verify this by showing that g(h(x)) = x and h(g(x)) = x. I'll leave that for you to confirm.
The domain of h(x) is the set of real numbers x such that x cannot be 0. So x can be anything but 0. In set builder notation, we would say \(\{x | x\in\mathbb{R} , \ x \ne 0\}\) and in interval notation that is \((-\infty, 0) \cup (0, \infty)\)
We kick out x = 0 so that (1-4x)/x doesn't have any division by zero errors.
the equation of the line please
Answer:
x = 4
Step-by-step explanation:
The line is a vertical line. The equation of a vertical line is represented as x = k.
Where, k is the point at where the line intercepts the x-axis.
In the graph given, the line intercepts the x-axis at 4. k = 4.
Therefore the equation of the vertical line would be:
x = 4
27 x 26 x 28 x 34 x 45
27 x 26 x 28 x 34 x 45 = 30,073,680
Answer:
30,073,680
Step-by-step explanation:
Use calculator.
OT
The blueprint for Audrey's new room has a
scale that states every inch is actually equal
to 15 inches. If this blueprint shows the length
of her new room to be 3 inches, what will be
the actual length of her new room?
Answer:
I really need points
Good luck with your question tho
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
Ryan is riding a bicycle whose wheels are 28 inches in diameter. If the wheels rotate at 130 rpm, find the angular speed in radians per second in which he is traveling.
The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.
What is the relation of speed and distance?
Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.
The speed formula is speed = distance / time.
Given that;
The diameter of bicycle wheel= 28inches
Rpm of wheel = 130rpm
Now,
Angular speed ω = 2pi*N/60 radian per second.
=2*pi*130/60
=260pi/60
=4.3pi radian per second
Speed of bicycle V = r*ω
V=14*4.3pi
V=60.2pi inch/sec
Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.
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what is Bethany's score on the test if she answered 23 out of 30 right?
part:
whole:
percent:
Answer: 76.67%
Step-by-step explanation:
Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas can run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and stationary), it took Thomas 20 seconds to run down it. How long, in seconds, would it take Thomas to walk down the broken escalator?
ANSWER QUICK PLS ASAP
.....................
Answer:
40
Step-by-step explanation:
The sum of two numbers is –103. Their difference is 59. Find the numbers.
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
a. Find the atmospheric pressure in Boston, MA which is at sea level
Choose the graph of y=|x|-2 by translating the parent function
The graph of function y = |x| - 2 by translating the parent function is shown in image.
We have to given that;
Function is,
⇒ y = |x| - 2
Now, We can formulate;
Since, Function is,
⇒ y = |x| - 2
It is translation of parent function y = |x| by 2 units down.
Thus, The graph of function y = |x| - 2 by translating the parent function is shown in image.
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What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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Find an ordered pair (x, y) that is a solution to the equation.-x+3y=2
Solution: (-2,0)
We have an ordered pair. As you can see the equation is:
-x+3y=2
So, we can replace a value of X or Y, in order to get the value of the other variable. For example, if we replace Y=0, we would have:
-x+3(0)=2
-x+0=2
-x=2, we multiply both sides to -1
(-1)*(-x)= 2*(-1)
x =-2 . In that case, we would have the ordered pair (-2,0)
You have a Visa credit card account with a 26.49% annual percentage rate calculated on the average daily balance. The billing date is the first day of each month, and the billing cycle is the number of days in that month. Your credit card balance on April 1 was $552. On April 10th you made a $119 purchase. You made another purchase, a $25 gift card, on April 24th. You made a $150 payment on April 29th
To calculate the interest charged on a credit card account, we need to consider the average daily balance and the annual percentage rate (APR). Let's break down the calculations step by step for the given scenario.
1. April 1: Starting balance of $552.
2. April 10: Made a $119 purchase. The balance is now $552 + $119 = $671.
3. April 24: Made a $25 gift card purchase. The balance is now $671 + $25 = $696.
4. April 29: Made a $150 payment. The balance is reduced to $696 - $150 = $546.
Now, let's calculate the average daily balance for the billing cycle in April. The billing cycle can vary depending on the number of days in the month. Assuming April has 30 days, we calculate the average daily balance as follows:
Average Daily Balance = (Total balance for the month) / (Number of days in the month)
Total balance = Starting balance + Purchases - Payments = $552 + $119 + $25 - $150 = $546.
Number of days = 30 (April has 30 days).
Average Daily Balance = $546 / 30 = $18.20.
Now, we can calculate the interest charged for the billing cycle. The APR is 26.49%, which needs to be converted to a daily rate by dividing it by the number of days in a year (365):
Daily Interest Rate = (APR / 365) = (26.49% / 365) = 0.0725%.
Interest Charged = (Average Daily Balance) * (Daily Interest Rate) * (Number of days in the billing cycle)
Interest Charged = $18.20 * (0.000725) * 30 = $0.3969.
Therefore, the interest charged on the credit card account for the April billing cycle is approximately $0.40.
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NEED HELP FOR HOMEWORK, WILL NAME BRAINLIEST !!
Answer:
1) 4/15
2) 15/15?
Step-by-step explanation:
1) 3/5-1/3
9/15-5/15
4/15
2) 15/15?
Solve the inequality
Answer:
hope this helps buddy, please mark the brainliest.
Step-by-step explanation:
please help me i need help i'll help you if you help me !
i will mark you as brill
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
To solve these questions, we do the following:
Whatever is being applied to a part of the ratio must be done on the other part
Solving (9):
\(Ratio = \frac{2}{7}\)
Multiply through by 2
\(Ratio = \frac{2*2}{7*2} = \frac{4}{14}\)
Multiply through by 3
\(Ratio = \frac{2*3}{7*3} = \frac{6}{21}\)
Multiply through by 5
\(Ratio = \frac{2*5}{7*5} = \frac{10}{35}\)
Hence, the equivalents are: \(\frac{4}{14}, \frac{6}{21}, \frac{10}{35}\)
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
\(Ratio = 1.5 * 2\ to\ 3.5 * 2\)
\(Ratio = 3\ to\ 7\)
Multiply by 3
\(Ratio = 1.5 * 3\ to\ 3.5 * 3\)
\(Ratio = 4.5\ to\ 10.5\)
Multiply by 4
\(Ratio = 1.5 * 4\ to\ 3.5 * 4\)
\(Ratio = 6\ to\ 14\)
Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
\(Ratio = 6.25/5\ to\ 1.25/5\)
\(Ratio = 1.25\ to\ 0.25\)
Multiply by 2
\(Ratio = 6.25*2\ to\ 1.25*2\)
\(Ratio = 12.5\ to\ 2.5\)
Multiply by 4
\(Ratio = 6.25*4\ to\ 1.25*4\)
\(Ratio = 25\ to\ 5\)
Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5
Solving (12):
\(Ratio = 3 : 3\frac{1}{2}\)
Multiply by 2
\(Ratio = 3 *2: 3\frac{1}{2}*2\)
\(Ratio = 6: 7\)
Multiply by 4
\(Ratio = 3 *4: 3\frac{1}{2}*4\)
\(Ratio = 12: 14\)
Multiply by 6
\(Ratio = 3 *6: 3\frac{1}{2}*6\)
\(Ratio = 18: 21\)
Hence, the equivalents are: 6:7, 12:14 and 18:21
Solving (13)
\(Ratio = 1\frac{2}{3} : \frac{5}{4}\)
Convert mixed fraction to improper fraction
\(Ratio = \frac{5}{3} : \frac{5}{4}\)
Multiply by 2
\(Ratio = \frac{5}{3}*2 : \frac{5}{4}*2\)
\(Ratio = \frac{10}{3} : \frac{5}{2}\)
Multiply by 3
\(Ratio = \frac{5}{3}*3 : \frac{5}{4}*3\)
\(Ratio = 5 : \frac{15}{4}\)
Multiply by 12
\(Ratio = \frac{5}{3}*12 : \frac{5}{4}*12\)
\(Ratio = 20 : 15\)
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Guys pls help if I don’t know if I’m correct
Answer:
Yes u are correct
which one is the least 7.38 7.22 7 1/5 7 3/8
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
1/5 is the lowest because its wayless lower than the rest. fractions are greater than decimals
At which points is the function continuous?
The function is continuous in the domain x ≥ 3/4
At which points is the function continuous?Here we have a root function:
f(x) = ⁴√(4x - 3)
This is an even degree root function, so we have problems when the argument is negative.
Then the allowed values (where the function is defined, and thus, continuous) are:
4x - 3 ≥ 0
4x ≥ 3
x ≥ 3/4
There the function is continuous.
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Cesar is 53 5/6 inches tall. Karina is 1 1/3 inches taller than Cesar and Jane is 1 1/4 inches taller than Karina. How tall is Jane?
Answer:
56 5/12 inches tall
Step-by-step explanation:
add karina and Janes inches together than add Cesar and then theres the height
Determine whether the given ordered list of numbers is a solution of the the system of equations
It should be noted that to evaluate whether an organized array of numbers serves as a resolution for a combination of equations, one can apply this method.
How to explain the methodWrite down the arrangement of equations that you wish to evaluate the solution for. For illustration, let us say that we have this system:
2x + 3y = 7
x - y = 2
Inject the data from the orderly list into the equations. For example, if the ordered list is (x=1, y=3), then we have:
2(1) + 3(3) = 7
1 - 3 = -2
Verify whether the outcome of the equations are equivalent to the values in the ordered list. If they are, then the orderly list is a resolution of the arrangement of equations. On the other hand, if not, then it is not a solution.
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If the weather in City A decreased constantly through the night from
5:00 PM to 9:00 PM, what is the rate of decrease of the weather in
degrees per hour if the temperature dropped from 20 degrees to 12
degrees?
A) 2
B) -2
C) 8
D) -8
E) 1
The rate of decrease of the weather in degrees per hour is 2 degrees.
EquationsThe time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.
The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.
Therefore, the rate of decrease of the weather in degrees per hour is:
-8 degrees / 4 hours = -2 degrees per hour
What is rate of change of temperature?A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.
Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.
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Rihanna counted the number of M&Ms in one layer of a cake, and found out there were 33 M&Ms. The cake has 11 layers. How many M&Ms can the cake hold in all?
Answer:
the cake can hold 363 m&m's
Step-by-step explanation:
multiply 33 by 11
What is the absolute value of -8.35
Answer:
8.35
Step-by-step explanation:
To get absolute value, just make it the opposite
Answer: |-8.35| = 8.35
Step-by-step explanation: |-8.35| = 8.35
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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