Answer:
123201
Step-by-step explanation:
This is an arithmetic sequence of common difference 2 and starting value 1,
So we can use the formula for an arithmetic sequence if we know what is the order of the last term.
Then first use the formula for the nth term to find "n":
[tex]a_n=a_1+(n-1)d[/tex]
where d = 2, first term = 1 and last term = 701
[tex]a_n=a_1+(n-1)d\\701=1+(n-1)*2\\700=(n-1)*2\\350=n-1\\n = 351[/tex]
Knowing this, we can estimate the partial sum:
[tex]S=n\,\frac{a_1+a_n}{2} \\S=351\,\frac{1+701}{2} \\S=351\,*\,351\\S = 123201[/tex]
ABC is an isosceles triangle. Solve for x. In your final answer, include all of the necessary calculations. You may include a sketch as part of your calculations.
Answer:
x= 105
Step-by-step explanation:
Let the unknown angle at the base be y. We know the base angles of an isosceles triangle are the same
The sum of the angles of the triangles are
30 + y +y = 180
30 + 2y = 180
2y = 180-30
2y = 150
y = 75
We know that x+y = 180 since it forms a straight line
x+75 =180
x = 180-75
x = 105
Answer:The abc conjecture It is stated in terms of three positive integers, a, b and c (hence the name) that are relatively prime and satisfy a + b = c. So a conjecture is like an educated guess.
Simplify the cube root in simplest radical form.
9x374
Please help
Answer:
D. [tex]xy\sqrt[3]{9y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{9x^3y^4}[/tex]
[tex]\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}[/tex]
The [tex]\sqrt[3]{x^3}[/tex] cancels out to become x:
[tex]\sqrt[3]{9}x\sqrt[3]{y^4}[/tex]
Split the [tex]y^4=y*y^3[/tex]
[tex]\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}[/tex]
[tex]\sqrt[3]{y^3} =y[/tex]
[tex]xy\sqrt[3]{9} \sqrt[3]{y}[/tex]
Put the cube root of y and cube root of 9 together:
[tex]xy\sqrt[3]{9y}[/tex]
(5 points) A random sample of adult drivers was obtained where 50% were men and 49% were women. Note that everyone is not classified as a man or a woman. A survey showed that 77% of the drivers rely on GPS systems. 38% of the drivers are men and use GPS while 38% of the drivers are women and use GPS. Suppose a person included in this survey is randomly selected. (0.5 pts.) a) Suppose the person selected is a man. What is the probability that he relies on a GPS system
Answer:
the probabiility that the selected man relies on a GPS system is 0.494
Step-by-step explanation:
From the given information:
Let X be the event that selected person is a man
Let Y be the event that selected person is a woman
Let Z be the event that selected relies or use GPS system.
So;
the following probabilities are:
P(X) = 0.50
P(Y) = 0.49
P(Z) = 0.77
P(X ∩ Z) = 0.38
P(Y ∩ Z) = 0.38
Now;
if the selected person is a man, the probability that he relies on a GPS system can be determined as follows:
[tex]P(Z|X) = \dfrac{P(X \cap Z)}{P(Z)}[/tex]
[tex]P(Z|X) = \dfrac{0.38}{0.77}[/tex]
[tex]\mathbf{P(Z|X) =0.494}[/tex]
Thus, the probabiility that the selected man relies on a GPS system is 0.494
a circle has a circumference of 6cm. find the diameter of the circle
Answer:
1.9 or 2
Step-by-step explanation:
To find diameter you do,
d= C/pi
C is circumference
so, d=6/3.14
=1.910... or 2
Hope this helps :)
Write 3.79 as a mixed number.
Answer:
379/100
Step-by-step explanation:
IS THIS IT???
If an original conditional statement is represented using pq, which represents the converse?
~p -> ~q
~q -> ~p
q -> p
p -> q
Answer: q -> p
Step-by-step explanation:
just took the test
1. Let n be the number (in thousands) of fans who attend a Foo Fighiers concert. What does n = 25 mean in this situation?
Answer: 25,000 fans attend a Foo Fighters concert
Step-by-step explanation:
25 x 1000 = 25000
Chelsea wants to buy a new iPhone that costs $324. She
has already saved $56. If she can save $20 a week, how
many weeks will it take for her to be able to purchase the
iPhone?
Answer:
14 full weeks.
Step-by-step explanation:
The phone costs $324 and she saved $56, so we subtract $56 from $324.
$324 - $56 = $268
She saves $20 each week so we divide $268 by $20 to get the number of weeks.
$268/20 = 13.4
It will take 13.4 weeks, but we have to round up because at 13 weeks she won't have enough saved. So 14 full weeks.
Bernice rectangle workbook is 2/3 foot width and 5/6 foot long.what is the area of the page in her workbook.
Answer:
As a:
Fraction: 11/20
Decimal: 0.55
Percentage: 55%
Step-by-step explanation:
If your expression contains square roots, during which step of PEMDAS do you solve them? A parentheses B exponents C multiplication D division
Answer:
B
Step-by-step explanation:
Roots can also be represented as indicies (exponents) and thus should be treated like them. For example, square root could also be written as exponent 1/2.
When dealing with square roots in a equation, PEMDAS calls for this to be solved when you do B. Exponents
The root of a number is that number expressed exponentially by the root in inverted form. In other words, when you take something to its square root, you would be taking it to the inverse of 2 which is 1/2.
For instance:
√4 = 2 = 4¹/²
This means that you can then solve the square root when you deal with exponents which is the second step.
In conclusion, if you see an expression with square roots, PEMDAS allows you to solve it as an exponent.
Find out more at https://brainly.com/question/20687401.
What is the correct definition of the word bias? a. particular point of view b. a personal or unreasoned judgment c. to study in detail, or examine critically d. the capability of being believed; trustworthiness
Answer:
b. a personal or unreasoned judgment
Step-by-step explanation:
The answer is B because bias is basically something or someone that you favor over anything or anyone else. Or what you belving in your own opion.
As an example, our strong bias in favor for the idea, or a test biased towards people who are excellent at math.
Answer:
D
Step-by-step explanation:
if you don't believe me look up the definition
What is the area
this trapezoid?
6 m
1 m
3 m
5 m
o
A. 14 m2
O
B. 18 m2
O
C. 21 m2
O
D. 35 m2
Answer:
Area of the trapezoid = 18 m²
Step-by-step explanation:
Formula to calculate the area of a trapezoid is,
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid
And h = distance between the parallel sides
From the figure attached,
[tex]b_1[/tex] = 5 m
[tex]b_2[/tex] = (6 + 1) = 7 m
h = 3 m
By substituting these values in the formula,
Area of a trapezoid = [tex]\frac{1}{2}(5+7)3[/tex]
= 6 × 3
= 18 m²
Therefore, area of the given trapezoid is 18 m².
Subtract 42.5 – 7.32
Answer:35.18
Step-by-step explanation:
Did this 7 years ago
The required value of 42.5 – 7.32 is 35.18.
Subtraction of 7.32 from 42.5 to be determined
Subtraction is defined as the value that should be reduced to the subtraction value.
Here, subtraction of 7.32 from 42.5,
⇒ 42.5 - 7.32
= 35.18
Thus, the required value of 42.5 – 7.32 is 35.18.
Learn more about subtraction here:
https://brainly.com/question/13619104
#SPJ2
Brainliest is given to the correct answer!
As of July 2012, the world record for the 100 meter dash is held by Usain Bolt of Jamaica, who finished such a race in 9.572 seconds in Berlin, Germany, on August 16, 2009. Calculate Bolt’s average race speed in miles per hour. Show all work. Use a conversion rate of 1 mi ~ 1.609 km. Round to three decimal places.
Answer:
v = 23.370 mph
Step-by-step explanation:
It is given that,
The world record for the 100 meter dash is finished in 9.572 seconds in Berlin. We need to find the Bolt’s average race speed in miles per hour.
We know that,
1 mile = 1.609 km
or
1 mile = 1609.34 m
⇒ 100 m = 0.0621 miles
1 hour = 3600 seconds
⇒ 1 second = (1/3600) hour
Average speed = distance/time
So,
[tex]v=\dfrac{\dfrac{100}{1609.34 }\text{miles}}{\dfrac{9.572}{3600}\ \text{hour}}\\\\v=23.36963\ \text{mph}[/tex]
or
v = 23.370 mph
Hence, Bolt’s average race speed is 23.370 mph.
Where would the plane STV intersect plane Z?
Answer:
Plane Z or plane VTX.
Step-by-step explanation:
From the picture attached,
ST pierces the plane at a point T.
That means line ST is perpendicular to the horizontal plane Z or plane VTX.
Since, S is a point lying on line ST it will not lie on the vertical plane VTX Or plane Z.
Therefore, point S is not contained in the plane Z.
Solve the equation 34 - (x + 8) = 6x-2
Answer:
x = 4
Step-by-step explanation:
To solve the equation, we would have to solve for the variable x.
34 - (x + 8) = 6x - 2
Remove the parentheses.
34 - x - 8 = 6x - 2
Add 2 to both sides and combine like terms.
28 - x = 6x
Add x to both sides.
28 = 7x
Swap sides.
7x = 28
Divide both sides by 7.
x = 4
So the solution to the equation would be x = 4
I hope you find my answer and explanation to be helpful. Happy studying. :)
14. Joe has 3 more than half the number of pets his
friend does. Joe has 4 pets. He represented this
situation with the following equation: 4 = 3+x.
2
1
To figure out how many pets his friend has, Joe wants
to subtract a number from four. He will then multiply the
result by a number to determine how many pets his
friend has
What number should Joe subtract?
What number should Joe multiply by?
Answer:
He should subtract 3 from 4 and then multiply by 2.
Step-by-step explanation:
4 = 3 + 1/2x
1 = 1/2 x
2 = x
Which sum or difference is equivalent to the following expression? Start Fraction 5 minus 3 x over 5 End Fraction
Steps to solve:
5-3x/5
~Divide the numerator to the denominator
-3/5x + 1
Best of Luck!
If g(x)=2/3(x-4)^2, find x when g(x)=8
8 = 2/3(x - 4)^2
Take the sqrt of both sides
Sqrt(8) = 2/3(x - 4)
Divide each side by 2/3
(3 * sqrt(2)) = x - 4
Add 4 to both sides
(3 * sqrt(2)) + 4 = x
2. Give recursive definitions for the following sets. a. The set of all strings over {a, b} containing at least one "a". b. The set of odd-length binary strings that end with 00.
Answer:
Two definition of sets of all strings and sets of odd length binary are given
Step-by-step explanation:
A.) Suppose A is the string of contain at least one a:A = a
B will be same as it is b:B = b
Sets of the union of the AB and BA in which A followed B and corresponding B will follow A. Set = will (AB) (BA) = (*a*, *b*) (*b*, *a* )….
B.) There is the regular expression is compared with two 00 which is surrounded by the 0+1 that accepted at least two 0s.
PLEASE HELP!
What percent of the circle is shaded?
Can you also explain how to get the answer?
Answer:
C
Step-by-step explanation:
The answer is 30% because 2/5 of the circle is shaded.
Which exponential expression is equivalent to the one below?
Answer:
The answer is A.
Step-by-step explanation:
You have to elaborate it :
[tex] {(54 \times ( - 13))}^{66} [/tex]
[tex] = {(54)}^{66} \times {( - 13)}^{66} [/tex]
5. How can you get the variable alone in the equation x + 37 = 94?
a. Undo subtracting 37 by adding 37 to both sides
b. Undo subtracting x by adding x to both sides
c. Undo adding x by subtracting x from both sides
d. Undo adding 37 by subtracting 37 from both sides
a machinist can produce 114 parts in 6 minutes. at this rate, how many parts can the machinist produce in 15 minutes
Answer:
285!
Step-by-step explanation:
First you have to find out how may parts are produced in a single minute.
We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19
114÷6=19
Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!
19×15=285
Hope this helped! :)
Put these numbers in order from least to greatest.-10, 4/25, -2/8
The answer is
-10, -2/8, 4/25
3. Five kissing cousins met at a family reunion.
Each cousin kissed each of the other cousins
just once. How many kisses were given in all?
Answer: 20 kisses
Step-by-step explanation:
given data:
number of cousins at the family reunion = 5
each cousing kissing each other just once.
if one cousin kisses everybody round that would be
= 1 * 4
= 4 kisses.
4 kisses from each cousins * number of cousins at the family reunion.
= 4 * 5
= 20 kisses.
in total there were 20 kisses at family reunion
Using the principle of combination, the number of kisses given in all by the five cousins is 10
Number of cousins, n = 5Using the relation :
[n(n-1)] ÷ 2Substituting the values into the relation :
[n(n-1)] ÷ 2
[5(5-1)] ÷ 2
(5 × 4) ÷ 2
20 ÷ 2
= 10 kisses
Hence, the Number of kisses exchanged in all is 10.
Learn more : https://brainly.com/question/14375199
A circle has a radius of 7 inches. What is the area of the circle? Use 3.14 for p. (Area of a circle = pr2
Answer:
153.94
Step-by-step explanation:
Simplify 4/8 divided by 3/-8 A: -32/21 B: -3/14 C: 3/14 D: 32/21
Answer:
- 1 1/3 which is none of the answers loll
Answer:
-1 and 1/3
Step-by-step explanation: negative one and one third
Sep 27,
The midpoint of AB is M(-5,0). If the coordinates of A are (-8,5), what are the
coordinates of B?
Answer:
Step-by-step explanation:
(x-8)/2 = -5
x - 8 = -10
x = -2
(y+5)/2=0
y + 5 = 0
y = -5
(-2, -5)
13 5 6 3 2. If g(x) = 16 for the function g(x) = 3x - 2, solve for the value of x.
need help solving please step by step
Replace g(x) with 16:
16 = 3x-2
Add 2 to both sides:
18 = 3x
Divide both sides by 3:
X = 18/3
X = 6
