Answer:
3925
Step-by-step explanation:
We can use the formula [tex]an=a1+(n-1)d[/tex] to find 50th term where:
[tex]an[/tex] is the nth term in the sequence
[tex]a1[/tex] is the first term in the sequence
[tex]d[/tex] is common difference between terms
[tex]5+(50-1)*3=152[/tex]
We also use the formula [tex]Sn=n*(a1+an/2)[/tex] to find the sum
[tex]50*(\frac{5+152}{2})=3925[/tex]
In the figure QRST, point Q has coordinates (2, -3). If you translate the figure 4 units left and 3 units down, what are the coordinates of the translated point Q'?
Answer:
Q' (- 2, - 6 )
Step-by-step explanation:
a translation of 4 units left is in the x- direction and means subtract 4 from the x- coordinate.
a translation of 3 units down is in the y- direction and means subtract 3 from the y- coordinate.
Q (2, - 3 ) → Q' (2 - 4, - 3 - 3 ) → Q' (- 2, - 6 )
*First to answer rightfully will get brainliest. NO LINKS are allowed. Thank you.
Please help with the following question:
You just got back from a trip to
Florida for the school break and
you still have $225 in U.S.
currency. Today, the bank rate is
C$1.04 for US$1. How much in
Canadian funds will you get for
your U.S. currency?
give the inverse, contrapositive, and converse for each of the following state- ments: (a) if she finished her homework, then she went to the party. (b) if he trained for the race, then he finished the race. (c) if the patient took the medicine, then she had side effects. 3
The inverse of (a) is If she did not go to the party, then she will not finish her homework.
The inverse of (b) is If he did not finish the race, then he will not have trained for the race.
The inverse of (c) is If she has no side effects then the patient will not take the medicine.
The converse of (a) is if she finished her homework, then she went to the party.
The converse of (b) is if he trained for the race, then he finished the race.
The converse of (c) is if the patient took the medicine, then she had side effects.
The contrapositive of (a) is if she did not finish her homework, then she did not go to the party.
The contrapositive of (b) is if he did not train for the race, then he will not finish the race.
The contrapositive of (c) is if the patient did not take the medicine, then she will not have side effects.
What do you mean by Inverse, Contrapositive, and Converse?Converse: By swapping the hypothesis and the conclusion, a statement can be made to mean the converse. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel."
Inverse: Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."
Contrapositive: a statement or theorem created by swapping out the hypothesis and conclusion, or the subject and predicate, of a given statement or theorem. The opposite of "if A then B" is "if not-B then not-A."
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what the answer to
1 4/5 x 5/6
Answer:
7/3
Step-by-step explanation:
14/5×5/6
=14/6
=7/3
05.05
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.
Determine P(2 tails).
12.5%
37.5%
50%
75%
The value of P(2 tails) is 37.5%, the correct option is B.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
The sample space= {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Now,
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, where H represents heads and T represents tails.
To determine P(2 tails), we need to count the number of outcomes in which there are 2 tails, and divide that by the total number of outcomes:
Number of outcomes with 2 tails: There are three outcomes with 2 tails: TTH, THT, and HTT.
Total number of outcomes: There are eight outcomes in total.
P(2 tails) = number of outcomes with 2 tails / total number of outcomes = 3/8 = 0.375, which is equivalent to 37.5%.
Therefore, the probability the answer will be 37.5%.
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Express 2^40 × 4^30 in the form 2^n
Answer:
[tex]2^{100}[/tex]
Step-by-step explanation:
Given expression:
[tex]2^{40} \times 4^{30}[/tex]
Rewrite 4 as 2²:
[tex]\implies 2^{40} \times (2^2)^{30}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 2^{40} \times 2^{(2\times30)}[/tex]
[tex]\implies 2^{40} \times 2^{60}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies 2^{(40+60)}[/tex]
[tex]\implies 2^{100}[/tex]
Therefore, n = 100.
Complete the explanation to identify the set of numbers that best describes the situation.
the amount of water in a glass as it evaporates
The amount can be any
number less than 0
, thus it is a
rational
number.
Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Group of answer choices
Distribute 2 to (x + 6) and 3 to (x – 4).
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
Combine like terms, 3 and 5, on the right side of the equation.
Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.
Answer:
x = 19
Step-by-step explanation:
I think you are on the right track. Below is the way I would approach it:
1. Expland the brackets
2. Collect like terms
3. Make x the subject
Let me know if you want the working out. Hope this helps.
Help needed with geometry.
Answer:
d
Step-by-step explanation:
Answer: d
A veterinarian is investigating a new type of tick repellant to determine if it reduces the number of ticks on dogs compared to a current popular brand.
Part A: Which of the following design is most appropriate: observational study, experiment, census, or sample survey? Explain your reasoning.
Part B: Explain how you would implement the design you selected in Part A.
Part C: Explain one benefit your design would provide.
The most appropriate design is an experiment (A), this can be applied by having a control and an experimental group (B), and one benefit is that you can identify the effectiveness (C).
Why is the best design an experiment?Different from an observational study, a census or a survey that are used to collect information about people's preferences, an experiment allows you to test the effectiveness of a treatment, which is the main purpose in this case.
How to implement it?The bst is to have a control and an experiment group. For example you select 30 dogs and use the repelant in 15 dogs; then all dogs are exposed to ticks. As a result you can evaluate how effective the repelant is by comparing the two groups.
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Phaedrus claims that this graph shows a straight
line. Is he correct? Explain why or why not.
Answer:yes
Step-by-step explanation:
4+801542/85*994567789
Answer:9,378,727,447,079.929
Step-by-step explanation:
Answer:
9.37414075 13 squared digit I don’t remember what it is called for that number so yea
Step-by-step explanation:
8011542/84 is 94257.43529 (already added 4) and 94257.43529 is about 9.37414075 13 squared digit I don’t remember what it is called for that number but that is the answer
proof that the span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.
The Span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.
Linear Span of vectors can be represented as
let [tex]x_{1} and x_{2}[/tex] be two non collinear vectors its span be written as [tex]x=a_{1} x_{1} +a_{2} x_{2}[/tex] where [tex]a_{1}, a_{2}[/tex] are arbitrary scalars.
Subspace of vectors : a subset A of a vector space V is called a subspace of V if A is itself a vector space under scalar multiplication and addition defined on V.
The Span of two vectors is a vector space containing two vectors. Hence the span is also a vector space . It is sufficient to notice that any two independent vectors from subspace can be the basis.
Zero vector is the linear combination of these basis vector.
hence it is not possible to have a span of two non collinear vectors that does not contain origin .
Therefore, The span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.
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What is the equation of the line?
Answer:
y=-1/3x
Step-by-step explanation:
The line decreasing from left to right. So, the slope of the line is a negative number. The only answer choice that has a negative number for the slope is A. y=-1/3x.
Hope this helps!
Please mark as brainliest if correct!
Answer:
y = 3x
Step-by-step explanation:
To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.
ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. which equation is represented by ms. wilson’s model? n2 3n 40
n²+13n+40,
This is why;
Observe only the right side. The number is (n+8)(n+5).
Let's elaborate on that using FOIL.
F = When we multiply the first two terms, n and n, we obtain n².
O = outer instructs us to multiply n by 5 to get n*5 or 5n from the outer terms.
I = inner instructs us to multiply the inner expressions 8 by 8 and n by n to obtain 8n.
Since 8 and 5 are multiplied by L, we obtain 8*5 = 40.
Add up the outcomes: n²+5n+8n+40 = n²+13n+40
Observe how the phrase is a little bit simplified by the combination of the like terms (5n and 8n).
This demonstrates how (n+8)(n+5) becomes n²+13n+40, becoming the correct response. For all values of n, none of the other options are valid equations;
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Terry used a total of 52 inches of ribbon to make 6 decorations. He used the same amount of ribbon for each decoration. How much ribbon did Terry use for each decoration?
Answer:52 x 6=312
Step-by-step explanation:
Terry used 52 inches of ribbon for the same amount. He's multiplying. Hope this helped.
Given the following, what is the length, l?
V = lwh
V = 576, w = 6, h = 12
The value of l is. We use simple substitution of values to find the value of l is 48.
We have been given the equation V=lwh where l is the length, we can say that the given equation is that of volume of a cuboid where l is the length, w is the width and h is the height of the cuboid. We know the values of V,w and h. We have to substitute the values of V,w and h in the equation V=lwh inorder to find the value of l. Substitution method is generally used for solving system of equations where we first solve the value of one variable and then substitute the value in the other equation to find the value of the other variable. Since we only have one equation and we know the value of 3 of the 4 variables we only have to solve for one.
V=lwh
l=V/wh =[tex]\frac{576}{6.12} =\frac{576}{72}[/tex]= 48
Thus we get the value of l to be 48 by substituting the values of V,w and h.
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what is the monthly difference in median income for a male versus a female when both have a bachelor's degree
Answer: $1,372
Step-by-step explanation:
If using the Labor Statistics Document
A men’s median weekly earning with Bachelor’s degree only is $1,384 * 4 weeks = $5,536
A women’s medium weekly earning with a Bachelor’s degree only is $1,041 * 4 weeks = $4,164
Subtract $5,536 - $4,164 = $1,372
The full sentences are:
The typical monthly salary for women with bachelor's degrees is $3,020.
The typical annual salary for a guy with an associate's degree is $36,432.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Every month has four weeks.
The median monthly income is thus:
Earnings = 4 * $755
Earnings = $3020
As a result, the typical monthly salary for women with bachelor's degrees is $3,020.
The median annual income:
A man with an associate's degree makes $759 each week.
A month has four weeks, while a year has twelve months.
Hence, the annual median income is:
Earnings = 4 x 12 x $759
Earnings = $36,432
Thus, the typical annual salary for a guy with an associate's degree is $36,432.
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Complete question:
3. What is your monthly median income if you are a female with a bachelor's degree? _____
4. What is your yearly median income if you are a male with an associates degree? _____
there is a dart that lands uniformly randomly in space on a dartboard. the dartboard is 3 concentric circles with radius 1, 2, and 3
There are 160 possibilities for area codes
We are required to find all the combinations for different area codes
It is given to us that the conditions for the tree digit area code are:
first digit could be any number from 4 through 8,
the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7
Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8
the digits which can be second digit of code= 4,5,6,7
the digits which can be third digit of code = 0,1,3,4,5,6,8,9
number of possibilities for first digit= 5
number of possibilities for second digit=4
number of possibilities for third digit= 8
Therefore, total number of possibilities of code = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160
Therefore, there are 160 possibilities for area codes
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can you help me and solve it
Answer:
I think its $4 I'm not sure tho
Step-by-step explanation:
Answer:
[tex] \large{ \star{ \boxed{ \tt \: answer : \: \$ \: 3.28 }}}[/tex]
Please see the attached picture for full solution!:)
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2. compare the histogram at 5 bins and at 25 bins. what does the narrower bin width reveal that the wider bin width obscures?
Answer: skewed left
Step-by-step explanation:
a distribution with two peaks: one at $30,000 and the other at $40,000
Muse synthetic division to find the quotient and remainder when 3x^4 +19x^3+22x^2-6x+4 is divided by x+2
Answer: 3x^3 +13x^2 -4x +2 +0/(x+2)
Step-by-step explanation:
-2: 3 19 22 -6 4=
-6 -26 8 -4
3 13 -4 2 0 ==> 3x^3 +13x^2 -4x +2 +0/(x+2)
Quotient: 3x^3 +13x^2 -4x +2
Remainder: 0
Martin scores 10% of the points in a game if this represents 10 point how many points were scored in total
Answer:
10 OR 100. Read the explanation for details.
Step-by-step explanation:
If Martin scored 10%, and this represents 10 points, that means that martin scored 10 points. If he is talking about ALL the points in total then there are 100 points because 10% is 1/10, and if each 1/10th is 10 points, if you multiply that by 10 you get
100.
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Answer:
?
Step-by-step explanation:
The Spartan basketball team purchased equipment and uniforms for a total cost of $1,860. The equipment that was purchased cost $300, and the uniforms were $120 each. How many uniforms did the school purchase?
The number of uniforms the Spartan Basketball team purchased was 13.
How is the number of uniforms determined?The number of uniforms bought by the Spartan Basketball team can be determined using the mathematical operations of subtraction and division.
In the first place, the cost of equipment is subtracted from the total cost. The remainder is divided by the unit cost of uniforms. The quotient is the number of uniforms bought.
Data and Calculations:Total cost incurred = $1,860
Cost of equipment = $300
Remainder cost = $1,560 ($1,860 - $300)
Unit cost per uniform = $120
The number of uniforms bought = 13 ($1,560/$120)
Thus, the number of uniforms the Spartan basketball team purchased was 13.
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Complete the equation describing how x and y are related.
X 0,1,2,3,4
y -1,3,7,11,15
y = [? ]x + []
Answer:
y = 4 x - 1
Step-by-step explanation:
hope this helps you.
.......
Answer:
.
Step-by-step explanation:
I need help please help me if u can
here is the answer
Step-by-step explanation:
it is just changing decimals to normal numbers.
Ria has these two cubes.
The side length of the smaller cube is x cm.
The side length of the larger cube is twice the side length of the
smaller cube.
Write an expression for the side length of the larger cube in
terms of x.
Answer:
2x
Step-by-step explanation:
side length of smaller cube = x
side length of larger cube is two times the side length of smaller cube.
Therefore side length of larger cube = 2x
Dan earns £9.20 per hour. How much will he earn for 8 hours work?
Answer:
£73.6
Step-by-step explanation:
Earnings per hour ( means for one hour of work he earns)= £9.20
total no of hours he works for = 8
so,in 8 hours he will earn
9.20× 8=£73.6
I need help. somebodysolve this. i think the answer is 8
(2x +20)y X=10 y=5
Answer:
If there is divide sign between (2x+20) and y, then the answer is 8 but if there's multiplication sign between (2x+20) and y, then the answer is 200.