Answer:
3y - 10z
Explanation:
-4y - (3z - 7y) - 7z
By removing brackets, we have
-4y - 3z + 7y - 7z
Collection of like terms yields
-4y + 7y - 3z - 7z
3y - 10z
M is the midpoint
of CD. A iş a point
not on CD. If AMC = 2x + 1" and AMD = 5x – 13, find the value of x.
The value of x given that M is the midpoint of CD is 14/3
How to determine the value of x?The given parameters are:
AMC = 2x + 1
AMD = 5x – 13
From the question, we understand that:
M is the midpoint of CD
This means that:
The segments are congruent
i.e. AMC = AMD
Substitute the known values in the above equation
So, we have
2x + 1 = 5x - 13
Collect the like terms in the above equation
So, we have
5x - 2x = 13 + 1
Evaluate the like terms in the above equation
So, we have
3x = 14
Divide both sides of the equation by 3
So, we have
x = 14/3
Hence, the value of x given that M is the midpoint of CD is 14/3
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The table represents the function f.
What is f3)?
X
f(x)
0
As per the given data the required answer is 9............
what type of data would best be displayed in a box plot
Answer:(2x+7)+(2x+7)
Step-by-step explanation:
what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer
12 is ____ % of 200.
Answer:
12 is 6% of 200
Step-by-step explanation:
I just used a little mental math
You buy 3 dinners that are $6.85 each. Before tax and tip, the total is $25.42. Is this total correct? Explain
Answer:
no
Step-by-step explanation:
the total would be $19.55 before tax and tip
-6x=-5(x-1)-x Thinking about solutions some more
The answer choice which best describes the solution of the given equation as represented above is; The equation has no solution.
Which is the best conclusion about the given equation?It follows from the task content that the answer choice which best reflects the solution of the equation be determined.
As evident in the task content; the given equation is;
-6x = -5 ( x - 1 ) - x
-6x = -5x + 5 - x
Therefore, we have that;
-6x = -6x + 5
Add 6x both sides of the equation so that we have;
-6x + 6x = 5
0 = 5......which does not hold true.
Hence, since 0 ≠ 5; it follows that the given equation has no solution.
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In 2015, the average distance from Earth to the moon was about 3.74 x 105 km. The distance from Earth to Mars was about 9.25 x 107 km. How much farther is traveling from Earth to Mars than from Earth to the moon? Write your answer in scientific notation.
Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.
The distance from Earth to the moon is approximately 3.74 x 10^5 km.
The distance from Earth to Mars is approximately 9.25 x 10^7 km.
To find the difference, we subtract the distance to the moon from the distance to Mars:
9.25 x 10^7 km - 3.74 x 10^5 km
To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:
3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)
Now we can perform the subtraction:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km
To subtract, we subtract the coefficients and keep the same exponent:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km
Simplifying the subtraction:
9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km
Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.
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can someone please solve and explain how you got your answer, WILL GIVE BRAINLIEST!!!
Answer:
A, graph 4, S(0, 9)B, graph 3, R(9, 0)C, graph 1, P(3, 9)D, graph 2, Q(-3, 0)Step-by-step explanation:
You want to identify the graphs that go with each of these functions, along with a particular point on the curve.
y = x² +3x +9y = (x +3)(x -9)y = (x -3)² +9y = -(x -9)(x +3)Quadratic features of interestThe equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.
In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.
Standard formThe line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.
The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).
Factored formEquation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).
Vertex formThe vertex form of a quadratic is ...
y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'
Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).
Leading coefficientEquation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).
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how many eighth notes are in a sixteenth note
Answer:
two sixteenth notes
Step-by-step explanation:
Answer:
1/2 of an eighth notes are in a sixteenth note
Step-by-step explanation:
2 sixteens = 1 eight
good luck, hope this helps :)
Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5
Answer:
I think x= -1
Step-by-step explanation:
You deposit $572.34 in an account that pays 4.5% interest. How much interest do you earn after 6 years?
Answer: I = $ 154.53
Step-by-step explanation:
First, converting R percent to r a decimal, r = R/100 = 4.5%/100 = 0.045 per year, then, solving our equation.
I = 572.34 × 0.045 × 6
I = 572.34 × 0.27
I = 154.5318
I ≈ $154.53
The simple interest accumulated on a principle of $572.34 at a rate of 4.5% per year, for 6 years is $154.53.
Hope this helps
In 2008, the per capita consumption of soft drinks in Country A was reported to be 18.88 gallons. Assume that the per capita consumption of soft drinks in Country A is approximately normally distributed, with a mean of 18.88 gallons and a standard deviation of 4 gallons. Complete parts (a) through (d) below.
a. What is the probability that someone in Country A consumed more than 15 gallons of soft drinks in 2008?
b. What is the probability that someone in Country A consumed between 5 and 9 gallons of soft drinks in 2008?
c. What is the probability that someone in Country A consumed less than 9 gallons of soft drinks in 2008?
d. 99% of the people in Country A consumed less than how many gallons of soft drinks?
On solving the provided question, we can say that Probability(x>11) = 1 - P(x\(\leq 11\))\ = 0.9645 and Probability(5<x<9) = P(x<9) - P(x<5) = 0.0101 and P(x<9) = 0.0106
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
Probability(x>11) = 1 - P(x\(\leq 11\))\
= 0.9645
Probability(5<x<9) = P(x<9) - P(x<5)
= 0.0101
P(x<9) = 0.0106
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A house was valued at $388,000. Over several years, the value decreased by 19%, giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
New value = x Old value
(b) Use your answer in part (a) to determine the new value.
New value: s
X
5
(a) New value = 0.81 * Old value
(b) New value = 0.81 * $388,000 = $313,480.
Eliza has a job where she makes $31,500 a year every year it is her pay increases 6% for 22 years how much money does she make in a 22 year career
The amount of money earned by Elisa in 22 years is obtained by summing the geometric series as $1366857.15.
What is a geometric sequence?In a geometric sequence, the ratio of two consecutive terms are always equal.
The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .
The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)
The earning for first year is $31500.
For, the next year it is 31500(1 + 6/100) = 1.06 × 31500
For another year, 1.06² × 31500
It implies that it is a geometric sequence with a₁ = 31500 and r = 1.06.
Now, the sum of first 22 terms is given by the following expression,
S₂₂ = a₁(r²²- 1)/(r - 1)
Plug a₁ = 31500 and r = 1.06 as,
⇒ 31500(1.06²²- 1)/(1.06 - 1)
⇒ 1366857.15
Hence, the money earned by Eliza in 22 years is obtained as $1366857.15.
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he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Which of the following could be a real-world description of the quantity three times x end quantity divided by 8?
A. The cost of a pizza split by 8 people plus a $3 tip
B. The cost of a pizza plus a $3 tip divided by 8 people
C. The cost per pizza for 3 pizzas divided by 8 people
D. The cost per pizza for 8 pizzas divided by 3 people
solve please!!! ill give brainliest!! 20 points!!
PLEASE ANSWER THIS QUESTION CORRECTLY, I’LL GIVE YOU BRANLIEST!It’d be greatly appreciated if you could answer my other math questions if you solve this one, thank you.
Answer:
111
Step-by-step explanation:
5×23 =115
115- 4 = 111
Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
a² +6² = c²
Find the length of c:
Answer:
c = 10
Step-by-step explanation:
Hypotnuse² = base²+height²
c²= 8²+6²
c²=64+36
= 100
100 = 10²
c = 10
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
69
Step-by-step explanation:
2+ x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
Solve |x+4|=9. ..............
A soda can has a radius of 1 inch and a height of 5 inches and a density of 3.2 g/mL. What is the mass?
find the value of the variable in the isosceles triangle. show your work plz
Step-by-step explanation:
3x-3 = x+5 add 3 on both sides
3x = x+8 subtract x in both sides
2x = 8 divide both sides by 2
x = 4
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
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The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
a tank truck holds 33.8 kl of oil. How many gallons does it hold
Which situation shows a constant rate of change? A. The number of play tickets sold compared with the number of minutes before the play starts B. The height of a helicopter over time C. The cost of fabric compared with its length in yards D. The outside temperature compared with the number of glasses of lemonade sold
Answer:
C - The cost of fabric compared with its length over time.
A school assembly had 70 students in attendance, and 10% of them were first-graders. How many first-graders were at the assembly?
THIS IS URGENT I NEED YOUR HELP!!
7 of them were first graders.
Find how many first graders by using the percentage of total students and number of total students. Multiply them together, and 10% of 70 students is 7 students, which are the first graders.
Answer:
20% of 30 is 6. Therefore 6 students were first graders
Step-by-step explanation:
Class 8 squares and square roots without adding find the sum of a) 1+3+5+7+9+11+13+15+17.
Answer:
given
n=9
a=1
d=3-1=2
Step-by-step explanation:
now , by formula,
sn = n/2(2a+(n-1)d)
= 9/2(2×1+(9-1)×2)
=9/2×18
=81
Lesley has 180 y marbles in a bag. She gave 2/5 of the marbles to Danny. How many marbles does Lesley have left?