The product of a number and 9 falls short of 78 by 6, what is the number? Show working.
Answers
Answer:
8
Step-by-step explanation:
78 - 6 = 72 (Since the number falls short by six)
72 ÷ 9 = 8 (Number times 9 that equals 72)
Related Questions
Rachana has a set of ten mugs the set up is made of 3 different mugs
Answers
If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.
To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.
Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.
For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.
Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.
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Complete question is:
Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?
5. Jin ran 15.2 miles over the weekend. He ran
6.75 miles on Saturday. How many miles did
he run on Sunday?
Answers
Answer:
8.45 miles
Explanation:
Since we know that overall he ran 15.2 miles on the weekend and on Saturday he ran 6.75, we can subtract 6.75 from 15.2 to find out how much more he ran on Sunday.
Step-by-step explanation:
2x^5-x^2+1=0
can you help me ?
slove it in details
thanks
Answers
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\(\boxed{x = 7}\)
Move 1 to the left side of the equation by subtracting it from both sides.
\(\sqrt{2x -5 - 2 - 1 = 0 }\)
Subtract 1 from -2.
\(\sqrt{2x -5 - 3 = 0 }\)
Add 3 to both sides of the equation.
\(\sqrt{2x - 5 = 3}\)
To remove the radical on the left side of the equation, square both sides of the equation.
\(\sqrt{2x - 5^3 = 3^2}\)
Simplify each side of the equation.
Multiply the exponents in \((( 2x - 5) ^\frac{1}{2})^2\) .
Apply the power rule and multiply exponents, \((a^m)^n = a^mn\)
\((2x -5)^\frac{1}{2}.2 = 3^2\)
Cancel the common factor of 2.
\((2x - 5)^1 = 3^2\)
Simplify.
\(2x - 5 = 3^2\)
Raise 3 to the power of 2.
\(2x - 5 = 9\)
Solve for x
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
\(2x = 9 + 5\)
Add 9 and 5.
\(2x = 14\)
Divide each term by 2 and simplify.
Divide each term in 2x = 14 by 2.
\(\frac{2x}{2} = \frac{14}{2}\)
Cancel the common factor of 2.
\(x = \frac{14}{2}\)
Divide 14 by 2.
\(x = 7\)
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Answer:
root of f(x) = -0.7419124700395855 to about 16 figures
Step-by-step explanation:
given
f(x) = 2x^5-x^2+1 = 0
The polynomial is prime, so cannot solve by factoring.
Since it is a 5th degree polynomial, it has at least one real root.
Graphing helps locate where roots are, if more than one.
(refer to first graph)
So there is a real root between -1 and 0.
We will use numerical methods to find the root to a good degree of accuracy. The technique applies to any univariable function which is differentiable and continuous near the roots. This requirement is true for all polynomials.
However, we must know approximately where the root is, usually found by graphing.
The formula used is a recursive one, which gives a better approximation (x1) from the initial (x0) one , and can be repeated until the required accuracy is reached.
Here, we see that the slope of the function at the root is quite steep, so convergence will be rapid.
The formula is
x1 = x0 - f(x0) / f'(x0), where
x1 = new approximation
x0 = initial (or previous) approximation
f(x0) = value of function when x=x0
f'(x0) = value of derivative of function when x=x0
For the given function
f(x) = 2x^5-x^2+1 = 0
f'(x) = 10x^4-2x = 2x(5x^3-1)
From the graph of f(x), we can take an initial approximation as
x0 = -1
x1 = -1 - (-2)/12 = -5/6
Repeat using x0=-5/6
x1 = -5/6 - ( 2(-5/6)^5 - (-5/6)^2 + 1 ) / (2(-5/6(5(-5/6)^3-1))
= 0.7565596512088784
Repeat again, multiple times
x1 = -0.7423377914518363
x1 = -0.7419128371988212
x1 = -0.7419124700398593
x1 = -0.7419124700395855
x1 = -0.7419124700395855
So we see that the root of f(x) = x1 = -0.7419124700395855 to about 16 figures
Note that the accuracy of the iterations approximately doubles every time.
Distance Conversions The United States, Liberia, and Myanmar are the only three countries that have not adopted the metric system as its primary system of measurement. There have been reports and legislation calling for a conversion to the metric system since the 1960s. The U.S. Department of Commerce's National Institute of Standards and Technology wrote that "industrial and commercial productivity, mathematics and science education, and the competitiveness of American products and services in world markets, will be enhanced by completing the change to the metric system of units" (1997, 2). From a student's perspective, it would be better if the U.S. converted to the metric system. Because scientists globally use the metric system, most of U.S. scientists do, as well. Until the U.S. "metrifies", students in the United States will need to continue to use and understand both measurement systems. 6. Refer to Appendix 2.1. Show your calculations for the following questions. 33 | Lab 2: Map Interpretation a. 2 miles contain how many feet? b. 1 mile contains how many inches? c. 10 kilometers contain how many meters? d. 1 kilometer contains how many centimeters? e. How many miles are in a "5k" (five-kilometer) race? f. A marathon is 26.2 miles. How many kilometers is this?
Answers
Answer:
a. 10560
b. 63360 in.
c. 10000 m
d. 100000 cm
e. 3.107 miles
f. 42.165 km
Step-by-step explanation:
a. 2 miles contain how many feet?
1 mile = 5280 ft
2 miles × 5280 ft / mile = 10560 ft
b. 1 mile contains how many inches?
1 ft = 12 in
1 mile × 5280 ft/mile × 12 in./ft = 63360 in.
c. 10 kilometers contain how many meters?
1 km = 1000 m
10 km × 1000 m/km = 10000 m
d. 1 kilometer contains how many centimeters?
1 km × 1000 m/km × 100 cm/m = 100000 cm
e. How many miles are in a "5k" (five-kilometer) race?
1 in. = 2.54 cm
5 km =
= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)
= 3.107 miles
f. A marathon is 26.2 miles. How many kilometers is this?
26.2 miles =
26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km
82- 2to the third power.5 please help!
Answers
Answer:
240
Step-by-step explanation:
82-2= 80 to the third power so just multiply 80 x 3 and you have your answer.
Answer:
512000 (square root of it is 712.5)
Step-by-step explanation:
82 -2 = 80
80^3
= 80*80*80
= 80^3
= 512000 (square root of it is 712.5)
Let me know if this was helpful!!
1. Day planning
Suppose we have complete freedom over the organisation of our ten-hour day. The options
are the following where HI denotes our happiness level, STB the short term benefit and LTB
the long term benefit:
Option
Part-time job
Study for university
Play sports/do workout
HL (per hour) STB (per hour) LTB (per hour)
-2
5
1
1
-1
4
4
1
-1
(a) Suppose on Monday we just require a happiness level equal to +1 (since we enjoyed our
weekend), and we require a total short-term benefit equal to +24 and long-term benefit
equal to +15. Can we find a way to schedule the ten hours in order to achieve this goal?
Justify your answer.
(b) Suppose on Wednesday we are tired from a two-day long shift and we need our happiness
level to be equal to +13, together with a short-term benefit equal to +8 and long-term
benefit equal to +19. Can we find a way to schedule the ten hours in order to achieve
this goal? Justify your answer.
(10M)
Answers
(a) Yes, we can. We could work for two hours, study for five hours, and play sports/do workout for three hours.
(b) Yes, we can. We could play sports/do workout for five hours, study for three hours, and take a break for two hours.
(a) Yes, we can find a way to schedule the ten hours in order to achieve the goal of +1 happiness, +24 short-term benefit, and +15 long-term benefit. We can do this by working for two hours, studying for five hours, and playing sports/doing workout for three hours. Working for two hours would give us -4 happiness, +10 short-term benefit, and +2 long-term benefit. Studying for five hours would give us +5 happiness, +20 short-term benefit, and +4 long-term benefit. Playing sports/doing workout for three hours would give us +3 happiness, -6 short-term benefit, and +9 long-term benefit. This would give us a total happiness of +1, +24 short-term benefit, and +15 long-term benefit, which meets our goal.
(b) Similarly, we can find a way to schedule the ten hours in order to achieve the goal of +13 happiness, +8 short-term benefit, and +19 long-term benefit. We can do this by playing sports/doing workout for five hours, studying for three hours, and taking a break for two hours. Playing sports/doing workout for five hours would give us +5 happiness, -5 short-term benefit, and +15 long-term benefit. Studying for three hours would give us +15 happiness, +12 short-term benefit, and +3 long-term benefit. Taking a break for two hours would give us +2 happiness, -2 short-term benefit, and +1 long-term benefit. This would give us a total happiness of +13, +8 short-term benefit, and +19 long-term benefit, which meets our goal.
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, Tysm!
Answers
\(revenue = selling \: price \times quantity \: sold\)
\(m(t) = 3t\)
B)Since we only have 75 tickets to sell, the domain is:t ε [ 0 , 75 ]Range: (extra)m ε [ 0 , 225 ]#1
M(t)=3tBecause
revenue=sold price×no of items
#2
The restriction is of 75tickets and the tickets can't be negative
so
0≤t≤75Domain
[0,75]Find the Value of X. Thanks.
Answers
Answer:
x = 90
Step-by-step explanation:
This will add up to 360 degrees in total
90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!
Find the measure of angle x in the figure below:
Answers
Answer:
70 degrees
Step-by-step explanation:
The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:
x+55+55=180
x+110=180
x=180-110=70
Hope this helps!
HELP! In an amusement park, the ride has a moving platform, AB, which is attached to four swing arms, as shown in the figure.
Answers
For the moving platform shaped in parallelogram, the correct number in each box is
x = 35°m∠A = 145°AB = 32 ftBC = 14 ftThe result is obtained by using the properties of angles in parallelogram.
Angles and side lengths of parallelogramThe properties of angles in parallelogram are:
The opposite angles are equal.The consecutive angles add up to 180 degrees.There are 2 pairs of sides of parallelogram. A pair of sides are parallel to each other and have the same length.
In the picture, we have
m∠D = 35°m∠C = (4x + 5)°AD = 14 ftDC = 32 ftFind x, m∠A, AB, and BC!
m∠D and m∠C are consecutive angles. So,
35° + (4x + 5) = 180°
35° + (4x + 5)° = 180°
40° + 4x = 180°
4x = 180° - 40°
4x = 140°
x = 140°/4
x = 35°
m∠A and m∠C are the opposite angles. So, they are equal.
m∠A = m∠C
m∠A = (4x + 5)°
m∠A = (4(35) + 5)°
m∠A = 145°
AB is parallel to DC. So,
AB = DC = 32 ft
BC is parallel to AD. So,
BC = AD = 14 ft
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Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for two quarts of apple cyder, three teaspoon of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people to share. In my neighborhood, however, there are 36 people. How much do I need for each ingredient to make enough for everyone?
Answers
Answer:
j
Step-by-step explanation:
in an experiment a group of participants who are not exp[osed to the independent variables are known as
Answers
The group of participants who are not exposed to the independent variables are the known as the control group.
Good luck! :)
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
Answers
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
What is 3.41 (where the .41 is repeating) written as a fraction?
Please help!!
Answers
Answer:
41/99
Step-by-step explanation:
There are two types of non terminating decimals. These are: Simple and Mixed
The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.
And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.
So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.
Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.
And the numerator will be the decimal number that keeps repeating itself without the repeating bar.
Therefore, the answer is 41/99.
Hope it helps ;) ❤❤❤
What is the value of x in the equation below
6(x-8)=72
Answers
Answer:
x = 20
Step-by-step explanation:
6(x-8)=72
6x-48=72
6x-48+48=72+48
6x=120
6x/6=120/6
x = 20
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Answer: x=20
Step-by-step explanation:
Distribute the 6 to the values in the parentheses
6x - 48 = 72
Add 48 to each side
6x = 120
Divide each side by 6
x = 20
You want to buy a computer. The computer costs $1,200. How much
would you have to save every month for 6 months to be able to buy the computer? For 8 months?
Answers
Answer:
6 months: 7200
8 months: 9600
Step-by-step explanation:
Given equations:
1200 * 6
1200 * 8
Solve 6 months:
1200 * 6
= 7200
Solve 8 months:
1200 * 8
= 9600.
Write the equation for a line that has a slope of 3 and a y-intercept of 4.
Answers
Answer:
y = 3x + 4
Step-by-step explanation:
find the inequality by the graph
Answers
Answer:
\(y>\frac{1}{3} x - 3\)
Step-by-step explanation:
So we first look at the dotted line in the graph, which is \(y=\frac{1}{3}x-3\). Next, we see that the blue area is the area above the line, so it should be \(y>\frac{1}{3} x - 3\).
The points (-3, 7) and (5, 1) are plotted on a coordinate plane.What is the distance between the two points? Enter the answer in the box.
Answers
The formula for the distance between two points
\(\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}\)Applying to points
\(\begin{gathered} d=\sqrt[]{(5-(-3))^2+(1-7)^2} \\ d=\sqrt[]{(8^2)+(-6)^2} \\ d=\sqrt[]{64+36} \\ d=\sqrt[]{100} \\ d=10 \end{gathered}\)What’s next in the sequence
1/3, 7/15, 3/5, 11/15…
Answers
Answer:
The next number in the sequence is 17/15.
Step-by-step explanation:
Let f(x) be a function that is defined for all real numbers. Select EVERY true statement (there may be more than one). If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers cand d in (a,b). If f(x) has a critical point at x = c, then f'(c) = 0. If f(x) has a local minimum value at x = c, then f'(c) = 0. If f'(c) = 0, then f(x) has a local maximum or minimum at x = c. o If f'(c) is undefined, then x = c is a critical point of f(x).
Answers
All options are true except option iii)
Given function is f(x) which is defined for all real numbers.
What is a critical point? A critical point of a function is a point where the derivative of the function equals zero or fails to exist. For a given function f(x), select the true statements:
i) If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers c and d in (a,b).
ii) If f(x) has a critical point at x=c, then f'(c)=0.
iii) If f(x) has a local minimum value at x=c, then f'(c)=0.
iv) If f'(c)=0, then f(x) has a local maximum or minimum at x=c.
v) If f'(c) is undefined, then x=c is a critical point of f(x). From the above all options, all options are true except option iii). Option iii is incorrect because if f(x) has a local minimum or maximum value, then f'(c)=0 is not necessary. The necessary condition is f'(c)=0 but the converse is not true.
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help me asap!!!!
Consider the function, y= 2x – 1
use the above function to complete the following table.
Answers
Answer (numbers needed in boxes, going from top to bottom):
1
-1
-3
3
Step-by-step explanation:
f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.
1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:
\(y = 2(1)-1\\y = 2 - 1\\y = 1\\\)
So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.
2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:
x = 0
\(y = 2(0) - 1\\y = 0 - 1\\y = -1\)
x = -1
\(y = 2(-1) - 1\\y = -2 -1 \\y = -3\\\)
x = 2
\(y = 2(2)-1\\y = 4-1\\y = 3\\\)
Mary, Tonya, Imani, and Luz were each painting identical-sized rooms. No one was able to finish in 1 day. The table shows the fraction of each room the girls painted.
Amount Painted
Which girl painted the most?
Answers
Imani painted the wall most
In mathematics, numbers can be classified into different types i.e. real numbers, natural numbers, integers, rational numbers, etc. This includes decimals. t is a standard form representing integers and non-integers.In algebra, a decimal is one type of number in which the whole and fractional parts are separated by a decimal point. The point between the integer and the fractional part is called the decimal point. For example, 34.5 is a decimal number.Decimal Numbers may be of different types, Recurring Decimal Numbers Non-Recurring Decimal Numbers Decimal Fraction
Mary painted 3/4 of the wall
3/4 = 0.75
Tonya painted 5/4 of the wall
5/7 = 0.71
Imani painted 11/13 of the wall
11/13 = 0.84
Luz painted 11/17 of the wall
11/17 = 0.64
Imani painted the wall most
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O DATA ANALYSIS AND PROBABILITY
Range of a data set
Ann is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
a
X
5
Answers
The range of the data set is, 28
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The data set is,
74, 64, 90, 74, 92, 68, 71
Now, We know that;
Range of data set is calculating by subtracting the lowest value from highest value.
Hence, The range is,
⇒ Highest value - Lowest value
⇒ 92 - 64
⇒ 28
Thus, The value of range = 28
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What are some of the different parts of a cell?
Answers
TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.
Answers
Answer:
8.5°
Step-by-step explanation:
25 + (-8)
=25 - 8
=17 ÷ 2
= 8.5°
please help! image is below,
If b = 45, and c = 4 , then a = ___ units.
Answers
Answer:
a = 26.5 units.
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
By intersecting tangent and secant theorem:
\( {a}^{2} =c(b + c) \\ \\ {a}^{2} = 4(4 + 45) \\ \\ = 4 \times 49 \\ \\ a = \sqrt{4 \times 49} \\ \\ a = 2 \times 7 \\ \\ a = 14\)
Which graph represents a proportional relationship?
On a coordinate plane, a straight line crosses the y-axis at (0, 0).
On a coordinate plane, a straight line crosses the y-axis at (0, negative 2).
On a coordinate plane, a straight line crosses the y-axis at (0, negative 3).
On a coordinate plane, a straight line crosses the y-axis at (0, 3).
Answers
Answer:
the 1st one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i got it right
William drove for 5 hours at an average speed of 54 mi/h. For the first two hours, he drove 45 mi/h. What was his average speed for the last three hours?
A. 40 mi/h
B. 50 mi/h
C. 60 mi/h
D. 65 mi/h
Answers
William drove for 5 hours at an average speed of 54 mi/h.
For the first two hours, he drove at a speed of 45 mi/h.
To find:William's average speed for the last three hours.
Solution:Let \(x\) represent the average speed for the last three hours (in mi/h).
The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).
The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).
The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).
The average speed for the last three hours can be calculated as:
\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)
Simplifying the expression:
\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)
Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).
Answer:
Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.
Step-by-step explanation:
We can start by using the formula:
average speed = total distance / total time
We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:
total distance = average speed x total time
total distance = 54 mi/h x 5 h
total distance = 270 miles
We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:
distance for first 2 hours = speed x time
distance for first 2 hours = 45 mi/h x 2 h
distance for first 2 hours = 90 miles
To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:
distance for last 3 hours = total distance - distance for first 2 hours
distance for last 3 hours = 270 miles - 90 miles
distance for last 3 hours = 180 miles
Finally, we can use the formula again to find his average speed for the last three hours:
average speed = distance for last 3 hours / time for last 3 hours
average speed = 180 miles / 3 hours
average speed = 60 mi/h
PLEASE HELP!!! 40pts
Answers
Answer:
i think a
Step-by-step explanation:
Answer: a
Step-by-step explanation:
I think