Rewrite the expression using exponents .Then find the product
Answer:
\(m ^ {3/7}\)
Step-by-step explanation:
=> \(\sqrt[7]{m^3}\)
\(\sqrt[7]{}= ^\frac{1}{7}\)
=> \(m^{3*1/7}\)
=> \(m ^ {3/7}\)
Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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Use the number line below, where , , and . a. What is the value of y? b. Find RS and ST. R S T a. What is the value of y? y 4 (Type an integer or a decimal.) b. Find RS and ST. RS 4.2 (Type an integer or a decimal.)
Answer:
y = 4
RS = 35
ST = 26
Step-by-step explanation:
Given:
RS = 8y + 3
ST = 5y + 6
RT = 61
Required:
a. Value of y
b. Numerical lenght of RS and ST
SOLUTION:
a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:
\( RS + ST = RT \)
\( (8y + 3) + (5y + 6) = 61 \) (substitution)
Solve for y
\( 8y + 3 + 5y + 6 = 61 \)
Combine like terms
\( 8y + 5y + 3 + 6 = 61 \)
\( 13y + 9 = 61 \)
Subtract 9 from both sides
\( 13y + 9 - 9 = 61 - 9 \)
\( 13y = 52 \)
Divide both sides by 13
\( \frac{13y}{13} = \frac{52}{13} \)
\( y = 4 \)
b. RS = 8y + 3
Plug in the value of y
RS = 8(4) + 3 = 32 + 3
RS = 35
ST = 5y + 6
Plug in the value of y
ST = 5(4) + 6 = 20 + 6
ST = 26
Answer:
Guy above me is Wrong its 14
Step-by-step explanation:
Find the equation of the line perpendicular to y=1/2x-1 and passes through the point (5,6)
The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.
To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.
The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.
Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:
y - 6 = -2(x - 5)
y - 6 = -2x + 10
y = -2x + 16
Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.
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carlos borrowed 26,000 for 5 years at an APR 5.25% what will his monthly payment be?
Answer:
$568.75.
Step-by-step explanation:
What's a circumference?
Answer:
In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
formula of circumference: C=2πr
Answer: Circumference is the distance around the outside of a circle.
Step-by-step explanation:
the distance around something. Circumference is the distance around the outside of a circle, and the formula is pi multiplied by the diameter. via. Study.com
Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Select all expressions that are equivalent to 3⁴.
A. 7
B. 4³
C. 12
D. 81
E. 64
F. 9²
Answer: D and F
Step-by-step explanation:
3 to the power of 4 means 3x3x3x3.
3x3 is 9
9x3 is 27
And 27x3 is 81
9 to the power of 2 means 9x9
9x9 equals 81
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
A state lotto has a prize that pays $900 each week for 20 years.
Find the total value of the prize: $
If the state can earn 5% interest on investments, how much money will they need to put into an account
now to cover the weekly prize payments?
Reminder: There are 52 weeks in a year.
The total value of the prize is $936,000.
The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.
What is the total value of the prize?The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:
= $900/week x 52 weeks/year x 20 years
= $936,000.
How much money is needed to put into the account?We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r
Plugging in the values:
PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154
PV = $900 x 657.221075423
PV = $591,498.968.
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Si yo tengo una canasta llena de mangos y piñas, de las cuales hay 30
mangos y 20 piñas ¿Qué fruta es más probable que saque al azar de la
canasta?
Respuesta: Es más probable sacar un mango.
Explicación:
La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:
Probabilidad de sacar un mango:
\(\frac{cantidad de mangos}{cantidad de frutas en la canasta}\) = \(\frac{30}{50}\) =\(0.6\)
Probabilidad de sacar una piña:
\(\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50}\) \(= 0.4\)
De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.
You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo: 8,4,14,16,18
Answer:
8
Step-by-step explanation:
For the lengths AB, BC, and AC to equal 7,6, and 13 respectively, what is the
value of x?
Answer:
x = 5
Step-by-step explanation:
We know that AB = 2x - 3 and AB = 7, therefore:
2x - 3 = 7
2x - 3 + 3 = 7 + 3
2x = 10
2x / 2 = 10 / 2
x = 5
What is the solution of the equation x2 = 64?
18
Answer:
x = ±8
Step-by-step explanation:
x^2 = 64
Take the square root of each side
sqrt(x^2) = ±sqrt(64)
x = ±8
How many times do parallel lines intersect?
A. 0
B. 1
C. 2
D. 3
Please help. Will make brainiest !!
Answer:
A) 0
Step-by-step explanation:
The actual definition of parallel lines are lines that never intersect, so the answer is 0
The number of times parallel lines intersect is (a) 0
How many times do parallel lines intersect?From the question, we have the following parameters that can be used in our computation:
The list of options in relation to parallel lines
By definition of parallel lines, we have
Parallel lines are lines that extend indefinitely on both sides without intersecting
Using the above as a guide, we have the following:
Point of intersection = 0
Hence, parallel lines intersect (a) 0 times
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If the table of the function contains exactiy two potential turning points, one with an input value of -1,which statement best describes all possible values of m
Evaluate each using the values given.
m-((-3) + p)-q; use m= 10, p=-6, and q = 10
Answer:
9
Step-by-step explanation:
10-((-3) + -6)-10
10-(-9)-10
10+9-10
9
solve and graph the inequality 3x < 13
The solution of the inequality 3x < 13 is x < 4.33.
None of the given option is correct.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
3x < 13.
Simplifying,
x < 4.33
The graph is given in the attached image.
Therefore, the solution is x < 4.33.
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I just need help with letter b, I can’t seem to figure out the table
Part a
total outcomes=9
bb yy rr
by br
yb yr
rb ry
Part b
Probability Distribution Table
numbers of yellows
yy by yb yr ry
two yellows ------> 1/9
one yellow and one blue ---->2/9
one yellow and one red ----> 2/9
distribution table
Let
x -----> number of yellows
X------> P(X)0 ------> 4/91 ------> 4/92 ------>1/9ASAP 300* POINTS PLUS BRAINLIEST!!! ONLY IF THE ANSWER IS CORRECT!!! What is the value of this expression when a = 3 and b = negative 2? (StartFraction 3 a Superscript negative 2 Baseline b Superscript 6 Baseline Over 2 a Superscript negative 1 Baseline b Superscript 5 Baseline EndFraction) squared? THERE ARE NO OPTIONS FOR THIS QUESTION MUST SHOW STEPS!!!
*/20, or 300/20.
Answer:
The value of this expression when a = 3 and b = -2 is -1.
Step-by-step explanation:
The expression is:
\(X=\frac{3a^{-2}b^{6}}{2a^{-1}b^{5}}\)
Compute the value of X for a = 3 and b = -2 as follows:
\(X=\frac{3a^{-2}b^{6}}{2a^{-1}b^{5}}\)
\(=\frac{3\cdot (3)^{-2}\cdot (-2)^{6}}{2\cdot (3)^{-1}\cdot (-2)^{5}}\\\\=\frac{(3^{-1})\times (-2)^{6}}{2\cdot (3^{-1})\cdot (-2)^{5}}\\\\=\frac{(-2)^{1}}{2}\\\\=-1\)
Thus, the value of this expression when a = 3 and b = -2 is -1.
A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time, walk toward each other, and meet in 5 hours. The turtle walks 10 meters per hour slower than the hedgehog. It the turtle had left home 4.5 hours earlier than the hedgehog, the two have me 150/ from the hedgehog's house. Find the distance between the garden and the woods.
If a turtle lives in a garden and a hedgehog lives in the woods. The distance between the garden and the woods is 450m.
How to find the distance?Let d represent the distance between the turtle's garden and the hedgehog's wood
Let h represent the speed of the hedgehog
Let the turtle's speed = h-10
Le the time it takes for the hedgehog to walk from the woods to the meeting point= t
Set up two equations
d = (h-10)(t+4.5) + ht (Equation 1)
d - 150 = ht (Equation 2)
Solve for d by substituting equation 2 into equation 1:
ht + (h-10)(t+4.5) = ht + 150
(h-10)t + 45h = 150
t = (150 - 45h) / (h-10)
Substitute t into equation 2:
d = ht + 150 - (h-10)(t+4.5)
d = h(150 - 45h)/(h-10) + 150 - (h-10)(45h/(h-10) + 4.5)
d = 2250/(h-10) (distance between the garden and the woods)
Since the turtle and hedgehog meet in 5 hours
Thus,
d = ( h-10 ) (5) + h( 5- 4.5 )
d = 5h - 25
Substitute
5h - 25 = 2250/(h-10)
Multiplying both sides by h-10
5h² - 75h + 250 = 0
Dividing both sides by 5
h²- 15h + 50 = 0
Using the quadratic formula
h = (15 ± sqrt(15^2 - 4(1)(50))) / (2*1)
h = (15 ± 5) / 2
So,
h = 10 or h = 5
Distance between the garden and the woods :
d = 2250/(h-10)
d= 2250/(5-10)
= 450 meters
Therefore the distance is 450m.
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Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
AC=149, BD= 3x+307, BC= 6x+443, AD= 8x + 717. Find BC
If A, B, C, and D are collinear points then the length of BC = 6x +443 is 59.
What are collinear points?A group of three or more points that are located along the same straight line is called collinear points. On separate planes, collinear points may exist, but not on different lines. Collinearity is the quality of two points being parallel to one another. Any three or more points are only considered to be collinear if they are situated along the same straight line. There is only one line that can pass through three locations that are collinear.
Given that A, B, C, and D are collinear points and position in that order.
AC = 149
BD = 3x + 307
BC = 6x + 443
AD = 8x + 717
We can determine the length of AB
AB + BD = AD
AB + 3x + 307 = 8x + 717
AB = 8x - 3x + 717 - 307
AB = 5x + 410
Now, we know that
AB + BC = AC
5x + 410 + 6x + 443 = 149
11x + 853 = 149
11x = -704
x = - 64
Put x= -64 in BC
BC = 6(-64) + 443
BC = - 384 + 443
BC = 59
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Determine the domain and range of the following relation.
x + 2 = [y]
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
there are 30 cupcakes in a tin. 16 of the cupcakes are iced of which 3 contain walnuts. 5 cupcakes are neither iced nor contain walnuts. work out the probability that the cupcake picked at random contains walnuts
The probability that the cupcake picked at random contains walnuts is given as follows:
0.4 = 40%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:
30.
The number of cupcakes with walnuts is given as follows:
3 that are also iced.30 - (16 + 5) = 9 that are not iced.Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:
p = (3 + 9)/30
p = 12/30
p = 0.4.
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A community college has 1400 parking spots on campus. When it builds its new library, the college will lose 63 of its parking spots. What will be the percent decrease in the number of available parking spots?
According to the question we can conclude that the percent decrease in the number of available parking spots is 4.5%.
What is percentage?In mathematics, a percentage is a number or ratio that's also expressed as just a fraction from 100. Occasionally, the acronyms "pct.," "pct," as well as "pc" are also used. Yet it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that what a number is just a percentage by placing it next to it. For instance, you score a 75% if you properly answered 75 out of questions in total on something like a test (75/100). Divide the money even by total as well as multiply the outcome by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
Given,
To find the percent decrease in the number of available parking spots, we need to calculate the difference between the initial number of parking spots and the new number of parking spots, and express it as a percentage of the initial number of parking spots.
The initial number of parking spots is 1400, and the new number of parking spots after the library is built is 1400 - 63 = 1337.
The difference between the initial number of parking spots and the new number of parking spots is 1400 - 1337 = 63.
To express this difference as a percentage of the initial number of parking spots, we divide the difference by the initial number and multiply by 100:
(63 / 1400) x 100 = 4.5%
Therefore, the percent decrease in the number of available parking spots is 4.5%.
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A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Let x represent the number of cyclists.
Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
Revenue = 60x + 15000
Also, the cost of the race is $18 per entry, hence:
Cost = 18x
They need to raise at least $57,000, hence:
Profit ≥ 57000
Revenue - Cost ≥ 57000
(60x + 15000) - 18x ≥ 57000
42x ≥ 42000
x ≥ 1000
Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
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(Three-Column Tables MC)
A three-column table is given
Part A C D
Part 14 28 63
Whole 20 40 B
What is the value of B in the table?
A:60
B:75
C:80
D:90
The value of B on the table is given as follows:
D. 90.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the table, the constant is obtained as follows:
k = 20/14 = 40/28 = 10/7.
Hence the relationship is given as follows:
y = 10x/7.
The value of B is the value of y when x = 63, hence:
y = 10 x 63/7
y = 10 x 9
y = 90.
Meaning that the correct option is given by option D.
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Is the result statistically significant? Explain your answer.What does a mean difference of zero between the two groups indicate?
Answer:
Statistically significant means a result is unlikely due to chance. The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users
Answer:
The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users
what's the inverse of f(x)=(x+3)^5
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
The sum of two consecutive integers is −29. Find the integers.
Answer:
the two consecutive integers are 6 and 7.
Step-by-step explanation:
Im %99 sure