Answer:
170.17g
Step-by-step explanation:
A point S( 8,-2) is reflected across the origin, Find the order pair of its image.
A. ( -8 , 2)
B. ( -8, -2)
C. (2, 8)
D. ( 2,- 8)
Answer:
the answer is B
Step-by-step explanation:
Do your best
Which algebraic expression is equivalent to the expression below? (6x + 13) + 6
Answer:
6x+19
Step-by-step explanation:
The parentheses do nothing here to stop you from adding - since every term in here is only being added, there is no reason to worry about the parentheses. Simply combine like terms (13 + 6) to achieve 6x + 19.
I need help please!!!!!!!
Answer:
75°
Step-by-step explanation:
We can assume that the angle shown and an angle that measures 15° makes a complementary angle. A complementary angles is when two angles add up to be 90°. We can create an equation and simplify:
15 + x = 90
x = 75
Best of Luck!
14.
Luke used completing the square to find the maximum value of the quadratic expression - 302 + 6x + 5. At which value of 3 does
the maximum value occur?
Help!!
Did you figure it out?
Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
Use the elimination method to solve the system of equations.
2x + 3y = 8
x - y = 9
A. (7,-2)
B. (6,10)
C. (7,2)
D. (2,4)
Answer:
A.
Step-by-step explanation:
The solution to the system of equations is (6.5, -2.5).
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To use the elimination method, we need to eliminate one of the variables by adding the equations.
Multiplying the second equation by 2, we get:
2x - 2y = 18
Now we can add the two equations:
2x + 3y = 8
(2x - 2y = 18)
4x = 26
Dividing both sides by 4, we get:
x = 6.5
Substituting x = 6.5 into the second equation, we get:
6.5 - y = 9
Solving for y, we get:
y = -2.5
Therefore,
The solution is (6.5, -2.5).
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HELP PLEASE BABES! I need it!!
Answer:
i think its no solution because it is parallel
Step-by-step explanation:
Algebra 2 Help ASAP!
Graph the points of the given function with the x-values
x=−2 , x = 2, and x = 7.
f(x)=-3√x+2
I NEED IT GRAPHED, WILL ATTACH BELOW
The coordinate point at given x values are(-2, 8); (2, -4), (7, - 19) and the graph is given below.
What are graphs:
In mathematics, a graph is a visual representation of a set of objects, such as points, and vertices that are connected by links or edges. Graphs are used to analyze relationships between objects or variables.
Graphs can be used to represent many types of data, such as social networks, transportation systems, and chemical reactions. T
Here we have
f(x) = -3x + 2
Let's take y = f(x)
At x = -2
=> y = -3(-2) + 2
=> y = 6 + 2
=> y = 8
At x = 2
=> y = -3(2) + 2
=> y = -6 + 2
=> y = -4
At x = 7
=> y = -3(7) + 2
=> y = - 21 + 2
=> y = - 19
Now use the coordinate points (-2, 8); (2, -4), and (7, - 19) to draw the graph as given below.
Therefore,
The coordinate point at given x values are(-2, 8); (2, -4), (7, - 19) and the graph is given below.
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Complete Question:
Graph the points of the given function with the x-values x=−2 , x = 2, and x = 7. f(x )= − 3x+2
PLEASE HELP 2x^2-8x+6=0
Answer:
x = 4 or x = -1
Step-by-step explanation:
2x^2 - 8x + 6 =0
divide by 2 we get : x^2 -4x +3 = 0
(x -4) (x+1)
x = 4 or x = -1
Yesterday, Marcus ran 5/6 of a mile. Today, he ran 4/6
of a mile.How many miles did Marcus run in all? Write an equation and draw a model to support your answer
Answer:
9/6 or 3/2 or 1, 1/2
Step-by-step explanation:
sense both denominators are the same you can add 5+6 to get 9. you can then simplify 9/6 by diving by 3 from both the top and bottom. this leavs you with 3/2. you can then divide 3÷2 to get 1, 1/2 or 1.5.
Two samples of sizes 27 and 35 are independently drawn from two normal populations, where the unknown variances are assumed to be equal. The number of degrees of freedom for the t-test statistics is:
The number of degrees of freedom for the t-test statistics is: 58.
What is degree of freedom DF?T tests can use t-distribution to assess statistical significance and are hypothesis tests again for mean.
These probability distributions for such test statistics of different hypothesis tests are also defined in terms of degrees of freedom.The DF specify the t-shape, distribution's which is used by your t-test to determine the p-value.ANOVA's F-test analyzes group means as well. It makes use of the DF-defined F-distribution. However, because you must identify the numerator & denominator DF in an ANOVA, you must compute degrees of freedom in a different way.Calculation for the degree of freedom;
The sample sizes drawn from two normal populations are 27 and 35.
n₁ = 27
n₂ = 35
Degree of freedom = n₁ + n₂ -1
= 27 + 35 - 1
Degree of freedom = 58
Therefore, the number of degrees of freedom for the t-test statistics is 58.
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Find the length of the third side. If necessary, write in simplest radical form.
Answer:
\(\sqrt{13}\)
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )
h = \(\sqrt{13}\)
two different colored dice are rolled simultaneously. what is the probability of getting a sum of at least 3?
The probability of getting a sum of at least 3 when two different colored dice are rolled simultaneously is 5/6.
To calculate the probability of getting a sum of at least 3 when two different colored dice are rolled simultaneously, we need to list out all possible combinations of the dice and find out how many of them add up to at least 3. Let's begin:
Possible combinations when rolling two dice:
1 + 1, 1 + 2, 1 + 3, 1 + 4, 1 + 5, 1 + 62 + 1, 2 + 2, 2 + 3, 2 + 4, 2 + 5, 2 + 63 + 1, 3 + 2, 3 + 3, 3 + 4, 3 + 54 + 1, 4 + 2, 4 + 3, 4 + 55 + 1, 5 + 2, 5 + 36 + 1, 6 + 2, 6 + 3
Total number of combinations:
6 x 6 = 36.
Now, we need to find out how many of these combinations add up to at least 3.
We can ignore 1+1 because it's less than 3. The rest are as follows:
1 + 2, 2 + 1, 1 + 3, 3 + 1, 2 + 2, 1 + 4, 4 + 1, 2 + 3, 3 + 2, 1 + 5, 5 + 1, 2 + 4, 4 + 2, 3 + 3, 1 + 6, 6 + 1, 2 + 5, 5 + 2, 3 + 4, 4 + 3, 2 + 6, 6 + 2, 3 + 5, 5 + 3, 4 + 4, 3 + 6, 6 + 3, 4 + 5, 5 + 4, 4 + 6, 6 + 4, 5 + 5, 5 + 6, 6 + 5, 6 + 6.
Total: 30.
So, the probability of getting a sum of at least 3 when two different colored dice are rolled simultaneously is 30/36 or 5/6.
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What number could be added to 0.40 ml for the level of precision to be 0.01 ml? check all that apply 0.2 ml 0.154 ml 6 ml 2.02 ml 8.8331 ml
The following volumes of fluid can be added to 0.40 mL of liquid for the level of precision of 0.01 mL: a) 0.2 mL, b) 6 mL, c) 2.02 mL. The amounts 0.154 mL and 8.8331 mL are not possible due to given level of precision.
What is the amount of liquid to be added to sample according to a given precision?
If the measuring has a level of precision of 0.01 ml, this means that the measured quantities are only sensible to the smallest hundreths. Any change less than 0.01 ml and any decimal less than a hundreths are "invisible" for measuring processes.
Hence, the following volumes of fluid can be added to 0.40 mL of liquid for the level of precision of 0.01 mL: a) 0.2 mL, b) 6 mL, c) 2.02 mL. The amounts 0.154 mL and 8.8331 mL are not possible due to given level of precision.
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Answer:
B,D,E
Step-by-step explanation:
You spin the spinner twice what is the probability of landing on an odd number and then landing on an odd number
The probability of getting an odd number is given by the quotient between the # of odd numbers and the total # of numbers:
\(P(odd)=\frac{n(odd)}{n(total)}=\frac{2}{4}=\frac{1}{2}=0.5.\)To find the probability of getting two odd numbers in a row, we can multiply the probabilities of getting an odd number:
\(P(odd,odd)=P(odd)\times P(odd)=0.5\times0.5=0.25=0.25\times100\%=25\%.\)NOTE: We can do this because the events are independent.
Answer25%
If f(x) = 3x-6 and g(x) = 1/3x+1, then (g(f))^-1 (x) equals.
1-x
1/3(3x-1)
(x+1)
(x-1)
We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:
\(g(f(x)) = g(3x - 6)\)
= \((1/3)(3x - 6) + 1\)
= x - 1 + 1
= x
Thus,
gof (x) = x.
Now we need to find the inverse of the function gof (x) to obtain
\((gof)^-1 (x).\)
We have gof (x) = x
which implies\((gof)^-1 (x)\)
= gof (x)^-1
= x^-1
= 1/x,
x ≠ 0
Therefore,
\((gof)^-1 (x) = 1/x\)
which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.
Hence, the correct option is (3).
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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.
Explanation:To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.
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plsss help ill mark brainliest
given: angles 1 and 2 are a linear pair prove that x=11
Angles 1 and 2 are a linear pair.
1) Given
2) Angles 1 and 2 are supplementary.
2) Linear Pair Postulate
3) m∠1 + m∠2 = 180°
3)
4) 11x - 6 + 4x + 21 = 180
4)
5) 15x + 15 = 180
5)
6) 15x = 165
6)
7) x = 11
7)
Answer:
3) Angle plus the angle will be the sum of the line making it 180 degrees.
4) X being the missing variable number to solve the final product of 180 with both angles missing a variable number. With angle 1 being 11x-6 and angle 2 being 4x+21
5) This is the after work when 11x and 4x was combined giving 15x and 21 and -6 combined giving 15 which combines both angles helping to find the sum in which will be 180
6) The after work, after 180 was subtracted with 15 giving it 165
7) The after work, after 165 was divided by 15 giving it 11, with 11 being the missing value of x
Step-by-step explanation:
Find the rate of change. y = 6x-7
The equation y = 6x - 7 represents a straight line with a slope of 6, indicating a constant rate of change in the y-direction as x varies.
The rate of change in the given equation y = 6x - 7 can be determined by taking the derivative of y with respect to x. The derivative represents the instantaneous rate of change of y with respect to x at any given point.
To find the derivative of y = 6x - 7, we differentiate each term separately. The derivative of 6x with respect to x is simply 6 since the derivative of x^n (where n is a constant) is nx^(n-1). The derivative of -7 with respect to x is 0 since -7 is a constant.
Therefore, the derivative of y = 6x - 7 is dy/dx = 6.
This means that for every unit increase in x, the value of y increases by a constant rate of 6. The rate of change is constant and equal to 6 for all values of x.
In other words, the equation y = 6x - 7 represents a straight line with a slope of 6, indicating a constant rate of change in the y-direction as x varies.
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Which expression is equivalent tofor all values of m , p , and v where the expression is defined?
m^6p^(-3)v^10.m^2p^5v^2
a. m^12p^(-15)v^20
b. m^3p^12v^7
c. m^-(18)p^20v^10
d. m^8p^2v^12
The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.
Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.
We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)
To simplify it we will use the rules of the indices as follows -
\(a^{m}.\ a^{n} = a^{m+n}\)
Now,
\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)
Segregating the like variables, we get,
= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)
by using the rules of indices, we will get,
= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)
= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)
= \(m^{8}p^{2}v^{12}\)
Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).
Therefore, option D is the right choice for this question.
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based on size, which of the following groups would be the most
stable?
a. 15 people
b. 5 people
c. 10 people
d. 2 people
The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.
What is a group?A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.
What is group stability?Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.
How does size affect group stability?A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.
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Please help!!
Here are Stages 1-4.
What stage will have closest to 1,000,000,000 circles?
Use a calculator if it helps you with your thinking.
Hence, at the stage \(1,073,741,824\) it reached nearest to \(1,000,000,000\).
What is the circle?
A circle is a round-shaped figure that has no corners or edges.
In geometry, a circle can be defined as a closed, two-dimensional curved shape.
So, the calculation is:-
Now, Multiplying by \(2\)
\(2 * 2 = 4\)
\(4 * 2 = 8\)
\(8 * 2 = 16\)
\(16 * 2 = 32\)
\(32 * 2 = 64\)
\(64 * 2 = 128\)
\(128 * 2 = 256\)
\(256 * 2 = 512\)
\(512 * 2 = 1,024\)
\(1,024 * 2 = 2,048\)
\(2,048 * 2 = 4,096\)
\(4,096 * 2 = 8,192\)
\(8,192 * 2 = 16,384\)
\(16,384 * 2 = 32,768\)
\(32,768 * 2 = 65,536\)
\(65,536 * 2 = 131,072\)
\(131,072 * 2 = 262,144\)
\(262,144 * 2 = 524,288\)
\(524,288 * 2 = 1,048,576\)
\(1,048,576 * 2 = 2,097,152\)
\(2,097,152 * 2 = 4,194,304\)
\(4,194,304 * 2 = 8,388,608\)
\(8,388,608 * 2 = 16,777,216\)
\(16,777,216 * 2 = 33,554,432\)
\(33,554,432 * 2 = 67,108,864\)
\(67,108,864*2 = 134,217,728\)
\(134,217,728* 2 = 268,435,456\)
\(268,435,456 * 2 = 536,870,912\)
\(536,870,912* 2 = 1,073,741,824\)
Hence, at the stage \(1,073,741,824\) it reached nearest to \(1,000,000,000\).
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answer in feet and inches
b) (2 yd. 2 ft.) + (7 yd. 9 in)
Answer:
12 feet 9 inches
Step-by-step explanation:
There are 3 feet in a yard, and 12 inches in a foot. Multiply those together and you get 36 inches in a yard.
2 yards × 36 inches/yard = 72 inches
2 feet × 12 inches/foot = 24 inches
72 inches + 24 inches = 96 inches
------------
7 yards × 36 inches/yard = 252 inches
252 inches + 9 inches = 261 inches
==============
Add those together:
96 inches + 261 inches = 357 inches
Then to convert to feet again, you need to divide by 12 and find the remainder. I prefer to do it with a calculator like this, but you can do it however you prefer:
357 ÷ 12 = 29.75 feet (round down)
12 × 29 = 348 inches in 12 feet
Then find the remainder:
357 - 348 = 9 inches
12 feet 9 inches
Prove algebraically that the sum of the squares of any two consecutive even numbers is always a multiple of 4.
It is established that there is always a multiple of 4 between squares of consecutive even numbers.
What is consecutive even numbers?Take two consecutive even integers into consideration.
If n is an integer, then
The first even number would then be 2n.
Let 2(n+1) be the next consecutive even number.
The following even numbers would follow:
2n, 2(n+1)
Each succeeding even number's square would be:
(2n)² = 2n ×2n = 4n²
[2(n+1)]² = (2n+2)² =(2n+2)(2n+2)
stretching out the brackets
= 4n² +4n +4n+4
[2(n+1)]² = 4n²+8n+4
We would choose values for n and calculate the difference between the squares of each consecutive even number in order to ascertain whether it is always a multiple of 4.
Let n = 1, 2, 3
For n= 1
4n² = 4(1)² = 4×1 = 4
4n²+8n+4 = 4(1)² + 8(1) + 4
= 4+8+4 = 16
The difference between consecutive even numbers' squares is equal to 16/4, or 12.
For n= 2
4n² = 4(2)² = 4×4 = 16
4n²+8n+4 = 4(2)² + 8(2) + 4
= 16+16+4 = 36
36-16 = 20 is the difference between the squares of two consecutive even numbers.
For n= 3
4n² = 4(3)² = 4×9 = 36
4n²+8n+4 = 4(3)² + 8(3) + 4
= 36+24+4 = 64
64-36 = 28 is the difference between the squares of two consecutive even numbers.
12 = 4×3
20 = 4×5
28= 4×7
We can see from the outcomes above that the numbers 12, 20, and 28 are multiples of 4.
As a result, a multiple of four always separates squares of succeeding even integers.
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Can anyone help me and show proof of how I got the answer
The y intercept is the point at which the line/curve cuts the y axis
The curve cuts the y axis at point (0 , 22) so the y intercept is therefore
(0 , 22)
4(x - 6)= 24
show your work
Answer:
12
Step-by-step explanation:
4(x-6)=24
4x-24=24
+24 +24
4x=48
x=12
Help please!!!!!!
Look at the picture
Answer:
answer is y=2x+3? for the question
A _____ standard score indicates that the original score is _____ than the mean.
Answer:
A positive standard score indicates that the original score is greater than the mean
Step-by-step explanation:
please mark as brainliest
A negative standard score indicates that the original score is lower than the mean.
A standard score, also known as a z-score, is a statistical measure that represents the number of standard deviations an individual score is away from the mean of a distribution. It provides a standardized way to compare and interpret individual scores within a dataset.
When the standard score is negative, it means that the original score is below the mean of the distribution. In other words, the value associated with the score is lower than the average value in the dataset.
For example, if we have a dataset with a mean of 50 and an individual score of 45, we can calculate the standard score (z-score) using the formula:
z = (x - μ) / σ
where x is the original score, μ is the mean, and σ is the standard deviation.
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David is reducing the size of a photograph. The original
photograph is 5 inches by 7 inches. The scale that he is
reducing it by is 1/2. Caculate the area of the new picture.
Sally brought the pizza shown above for lunch which was cut into 10 equal slides what percentage of the pizza did tell they eat if she had four slices
Answer:
25%
Step-by-step explanation:
Answer:
Sally ate 40% of the pizza and there was 60% of the pizza leftover.
Step-by-step explanation:
A percentage is a rate, number, or amount in each hundred.
There were 10 slices of pizza, she ate 4.
4/10 = 40/100 multiplied by 10, which would let us find the percentage.
Therefore, Sally ate 40% of the pizza and left 60% back.
Hope This Helps!
4. Ms. Hope is five times as old as her daughter. The sum of
their ages is 42. How old is her daughter?