Answer:
Step-by-step explanation:
A line passes through the point (8,-4) and has a slope of 5/4
Answer:
y = 5/4x - 14
Step-by-step explanation:
Given:
Passes through (8, -4)
Slope (m) = 5/4
Slope-intercept equation:
y - y1 = m(x - x1)
y - (-4) = 5/4(x - 8)
y + 4 = 5/4x - 10
y = 5/4x - 14
Melanie is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4 and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?
Answer:
20 possible outcomes
Step-by-step explanation:
5 equal-sized sections x 4 sides of the die = 20
N।
How do you solve and get the answer
Answer:
7/9
Step-by-step explanation:
Answer:
First, you use distributive property. That means you have to multiply 2/3 to each of the terms inside the parentheses. So you multiply 2/3 and 3/2 then multiply 2/3 and 1/3. Your answers would then be 1 and 2/9. Now since there is a subtraction symbol you need to subtract 1 and 2/9. So you get 7/9. So that’s your answer. 7/9
3
\(3 \sqrt{81} \)
what's the answer
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
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express 72 1/2 as a percentage
Answer:
7250%
Step-by-step explanation:
To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.
72 1/2 is equivalent to 72.5 as a decimal.
To convert it to a percentage:
72.5 * 100 = 7250
Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.
let me know it is helpful for you or not
6198 mabovesea levelDenaliThe lowest point in North America is in DeathValley, California, which is 86 metres below sealevel at its lowest point. The highest point isDenali, a mountain in Alaska, with an elevationof 6198 metres above sea level. What is thedifference in their elevations?sea levelDeath Valley86 mbelowsea level
To determine the difference between the elevations, we have to subtract the height of the highest point by the lowest point. Therefore we have:
\(\begin{gathered} \Delta h=6198-(-86) \\ \Delta h=6198+86 \\ \Delta h=6284 \end{gathered}\)There is a difference of 6284 meters between their elevations.
solve for . assume is a matrix. do not use decimal numbers in your answer. if there are fractions, leave them unevaluated.
The value of X in the given system of matrix is,
\(X=\left[\begin{array}{ccc}\frac{-97}{145}&\frac{-45}{145} \\\\\frac{20}{29}&\frac{21}{29}\\\end{array}\right]\)
Matrices are one of the most powerful tools in mathematics. The evolution of the concept of matrices is the result of an attempt to obtain compact and simple methods of solving the system of linear equations.
We have 2 by 2 matrix in the form,
\(\left[\begin{array}{ccc}9&9\\-9&-9\\\end{array}\right] X+\left[\begin{array}{ccc}6&3\\7&9\\\end{array}\right] =\left[\begin{array}{ccc}-1&8\\-4&6\\\end{array}\right] X\\\\Assume, X=\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] \\\\\)
After multiplication,
\(9a+9c+6=-a+8c\\\\-9a-9c+7=-4a+6c\\\\9b+9d+3=-b+8d\\\\-9b-9d+9=-4b-6d\\\\\)
After solving the given system of equations
\(a=\frac{-97}{145}\\\\b=-\frac{54}{145}\\\\c=\frac{20}{29}\\\\d={21}{29}\\\\Hence, \\X=\left[\begin{array}{ccc}\frac{-97}{145}&\frac{-45}{145} \\\\\frac{20}{29}&\frac{21}{29}\\\end{array}\right]\)
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Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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Help me out thankssssss !!!!!!
Answer:
78/2=39°
Step-by-step explanation:
thx for the points
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=34 and EB=38, solve for EA. Round to the nearest tenth if necessary
The value of side EA is,
EA = 16.9
We have to given that;
Circle E with diameter CD and radius EA.
And, AB is tangent to E at A.
Here, AB = 34 and EB = 38
Hence, By using Pythagoras theorem we get;
AB² + AE² = EB²
34² + AE² = 38²
1156 + AE² = 1444
AE² = 1444 - 1156
AE² = 288
AE = √288
AE = 16.9
Thus, The value of side EA is,
EA = 16.9
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Graph y= -4/5x -7
Algebra
Solve for a. You must write your answer in fully simplified form.
10a = -6
Answer:
a = -3/5
Step-by-step explanation:
10a = -6
/10. /10
a = - 6/10
a = -3/5
Simplify (4 ^4) ^−1.
4 ^3
−4 ^4
one over four raised to the fourth power
one over four raised to the power of negative four
The simplified expression of (4⁴)⁻¹ is one over four raised to the fourth power
How to simplify an expression?The expression can be simplified as follows:
(4⁴)⁻¹
Therefore, the expression can be simplified using laws of indices.
\((a^{c} )^{b} = a^{cb}\)
and
\((a^{-b} )^{c} = \frac{1}{a^{bc} }\)
Therefore, using the laws of indices, the expression can be simplified below:
(4⁴)⁻¹ = 4⁻⁴
Hence,
4⁻⁴ = 1 / 4⁴ = (1 / 4)⁴
Hence,
(4⁴)⁻¹ = 1 / 4⁴ = (1 / 4)⁴
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Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
Mary has a lemonade stand.Last week she spent $18.00 on supplies,but earned only $12.00.Did Mary make a profit ?Explain and show problem as a mathematical equation.
They need to sell at least 13 cups to gain profits.
Here, we have,
Givens
The initial cost is $1.20.
Each cup of lemonade costs 6 cents to make.
May's children sell 10 cents a cup.
First, we need to represents the cost of their investment.
0.06x = 1.20, because each cup costs 6 cents, and the initial costs of all is $1.20.
That means,
x= 20
They can produced 20 cups.
However, they already sell a cup for 10 cents. So, how many cups they need to sell to gain profits? We need to establish a similar relation,
0.10 x = 1.20
x = 12
This means if they sell 12 cups, they will just cover the investment, that is, zero profits.
Therefore, they need to sell at least 13 cups to gain profits.
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complete question
Mary's children decide to run a lemonade stand to earn some extra money.The cost to start the business is $1.20 and each cup of lemonade costs 6 cents to make. If lemonade sells for 10 cents a cup,how many cups must Mary's children sell to make a profit?----Apply systems of equations
This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
PLEASE HELP MEHH!!!!!
Select the coordinates of two points on the line y = −2. (2 points)
A. (2, −2) and (−2, 2)
B. (−2, −2) and (−2, 0)
C. (2, −2) and (0, −2)
D. (−2, 2) and (−2, −2)
Answer:
C.) (2,-2) and (0,-2)
Step-by-step explanation:
The coordinates would have to have y values of -2, because the line plotted only has y values of -2
Answer:
C.
Step-by-step explanation:
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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geometric mean between 8 and 1/4
Answer:
√2
1.414
Step-by-step explanation:
ⁿ√x₁*x₂*x₃*...*xₙ
√8*1/4
√2
1.414
The geometric mean between 8 and 1/4 is; 1.414.
According to the question:
We are required to determine the geometric mean between 8 and 1/4.In essence, the geometric mean can be evaluated as follows;
Geometric mean = √(8×1/4)G.M = √2G.M = 1.414Read more on geometric mean:
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A firecracker sends a small pebble vertically upward from a height of 35 feet above a
pool of water. The starting speed of the pebble is 85 feet per second. Its distance in
feet, d, above the water is given by the equation:
d=35+85t-16t2, where t is the time in seconds after the launch.
Drag statements to the table to show what each coordinate labeled on the graph
represents in this problem situation.
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included.It also goes by the name quadratic equations.The quadratic equation has the general form ax2 + bx + c = 0.where a, b, and c are numerical coefficients and x is an unknown variable.
Solve the quadratic equation?
d=35+85t-16t²
35+85-16t²-d
35+85t-16t²-d=0
35-d+85t-d=0
16t²-85t-35+d=0
t=85±√\(\sqrt{x}\)-(85)²-4×16(-35+d)/2×16
t=85±√(-85)²-4×16(-35+d)/32
-(85)²-4×16(-35+d)
=7225-64(-35+d)
=7225-64(-35+d)
7225+2240-64d
=9465-64d
=-9401
t=85+√9465-64d/32
t=85+97
t = 182
t=85-√9465-64d/32
t=85-97
t = -12
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A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
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Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
pls tell the answer /
Step-by-step explanation:
I assume AB is supposed to be a straight line. yes ?
in that case please remember that all angles on top of a line (and then again below a line) must sum up to 180 degrees (this is what it takes to flip a "stick" on that line from left to right).
so, COD covers already 90 degrees of these 180.
that means AOD + BOC = 180 - 90 = 90 degrees.
now we know that the 2 angles are in the ratio of 1:5.
that means that BOC is 5 times as large as AOD.
and we can be more direct :
since the 2 angles are in the ratio 1:5 we are actually splitting the remaining 90 degrees into 6 parts (5+1).
and BOC gets then 5 of these 6 parts, and AOD gets the remaining 1 part.
so,
90/6 = 15
therefore, one of these parts is 15 degrees.
so, we know AOD = 15 degrees.
BOC = 5×15 = 75 degrees
or simply 90 - 15 = 75 degrees
What do we do with the 500
Answer:
Lol
Step-by-step explanation:
Freeeeeeee3ee points
Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
The class midpoint for the class 23 - 29 is
The midpoint is 26.
Midpoint in this scenario = mean
(23+29)/2 = 26
Answer:
-6
Step-by-step explanation:
Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line
that passes through y=-3x - 4
Answer:
\(y=\frac{1}{3}x+\frac{5}{3}\)
Step-by-step explanation:
Slope of \(y=-3x-4\) is the m of the general equation \(y=mx+b\) which \(-3\) The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1 so that \(\frac{1}{3}\) With that slope and the point \((1,2)\) use the formula\(y-y_1=m(x-x_1)\\y-(2)=\frac{1}{3} (x-(1))\\y-2=\frac{1}{3}x-\frac{1}{3}\\y=\frac{1}{3}x+\frac{5}{3}\)2x(5x2+x-6) simplify
Answer: 10x^3 + 2x^2 -12x
Step-by-step explanation:
Answer: \(10x^{3} + 2x^2 - 12x\)
Step-by-step explanation:
2x(5x^2 + x - 6)
10x^3 + 2x^2 - 12x
6 subtracted from the quotient of 84 and 7
Answer:
Your answer is: 6
84/7=12-6= 6
6 is your answer
Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another is randomly selected. What is the probability of selecting two even numbers?
In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:
In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).
The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22
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