Answer: Arithmetic Sequence
Step-by-step explanation: It has a common difference of +3 at a constant rate
In ΔDEF, d = 440 inches, f = 410 inches and ∠F=120°. Find all possible values of ∠D, to the nearest 10th of a degree.
There are two solutions for the triangle DEF: ∠ D₁ ≈ 68.3°, ∠ D₂ ≈ 111.7°.
How to find all possible values of a triangle by law of sinesIn this question we have a triangle with two known sides and a known angle. By the law of sines we find the possible values of the angle D:
410/sin 120° = 440/sin D
Please notice that the sum of the internal angles of triangles equals 180°. Then,
sin D = (440/410) · sin 120°
sin D ≈ 0.929
There are two solutions for the triangle DEF: ∠ D₁ ≈ 68.3°, ∠ D₂ ≈ 111.7°.
To learn more on law of sines: https://brainly.com/question/17289163
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help answer please help
Answer:
The best was to display a set of data with a wide range would be
a histogram.
Step-by-step explanation:
It's a graphical display of bars which will help you measure the central tendency.
Помогите пожалуйста
y= sinx/cosx ; y=?
Answer:
[tex]\frac{1}{cos^2x}[/tex]
Step-by-step explanation:
[tex]y'=\frac{(sinx)'*cosx-(cosx)'*sinx}{cos^2x}=\frac{1}{cos^2x}.[/tex]
Solve x2 + 13x + 22 = 0 using the quadratic formula.
x^2 + 13x + 22 = 0
( x + 11 )( x + 2 ) = 0
x = - 11 Or x = - 2
.An ice cream vendor serves 4 flavors: vanilla, chocolate, strawberry, and mint. If the
vendor selects two flavors at random, what is the probability that vanilla and strawberry
are chosen?
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
This question may be relatively tricky. Since no specific order is stated or implied, it does not matter whether the vendor chooses vanilla or strawberry first, as long as the vendor chooses both.
Therefore, for the first flavor the vendor can either choose vanilla or strawberry. There is a [tex]\frac{2}{4}=\frac{1}{2}[/tex] chance of this happening.
For the second flavor, the vendor must choose the one they didn't pick for the first flavor (either strawberry or vanilla). There is a [tex]\frac{1}{4}[/tex] chance they do so.
Therefore, there is a [tex]\frac{1}{2}\cdot \frac{1}{4}=\boxed{\frac{1}{8}}[/tex] chance that vanilla and strawberry are chosen.
Which expression is equivalent to Cube root of 343 x Superscript 9 Baseline y Superscript 12 Baseline z Superscript 6?
7x3y4z2
7x3y6z2
49x3y6z2
49x3y4z2
9514 1404 393
Answer:
7x^3y^4z^2
Step-by-step explanation:
[tex]\displaystyle\sqrt[3]{343x^9y^12z^6}=\sqrt[3]{(7x^3y^4z^2)^3}=\boxed{7x^3y^4z^2}[/tex]
Answer:
[tex] \small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2} [/tex]
Step-by-step explanation:
[tex] \small \sf \leadsto \: \sqrt[3]{343 \: x {}^{9} \: y{}^{12} \: z {}^{6} }[/tex]
[tex] \small \sf \leadsto \: \sqrt[3]{7x {}^{3}y {}^{6}z {}^{2} } [/tex]
[tex] \small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2} [/tex]
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GET IT RIGHT
Answer:
neither, since the gradients are not the same, as well as the c value
Step-by-step explanation:
First line : y = -4x + 7
Second line : y = -4x + 3
We know that the standard form of equation of a line is y = mx + c
where :
m is the slope
c is the y intercept
Comparing both line equations with the standard form, we can notice that :
⊕ Slope of the first line = -4
⊕ Slope of the second line = -4
We know that Slopes of parallel lines are same
So, We can conclude that the given two lines are parallel to each other
Answer : Parallel because the slopes are the same
What is the area of this???
Kevin was asked to determine the length of side XZ. His work is shown.
Which error did Kevin make?
Answer:
A.// He has the side lengths in the wrong place in the cosine ratio.
Step-by-step explanation:
Find the area of the triangle.No links
X – 10x = 100
Use a trial and improvement method to find this solution.
Give
your answer correct to 1 decimal place.
You must show all your working.
On the same line as your final answer you must write “to 1 decimal place"
Answer:
x-10x=100
-9x=100
-9x÷-9=100÷-9
x=-11,1
please answer correctly thanks
Question 2
Find the volume.
Answer:
It is D...........nnnnnnn
help? (the last part of it “what is rhe shortest name lengths” is what i need help) :) (i mark brainlist)
Answer:
8
Step-by-step explanation:
eight letters
there is only one who has 8 letters in the name
3 consecutive integers have a sum of 27. What are the integers?
Three consecutive integers that add up to 27 are 8, 9, and 10
Hope this helps =)
First represent your 3 consecutive integers as x, x + 1, and x + 2.
Since their sum is 27, our equation reads x + (x + 1) + (x + 2) = 27.
Now simplifying on the left side we get 3x + 3 = 27.
You should be able to easily solve for x and find that x = 8.
Make sure you list all your answers.
If x is 8, then x + 1 is 9 and x + 2 is 10.
There are approximately 1.2×10 to the eighth household in the US if the average household uses 400 gallons of water each day what is the total number of gallons of water used by households in the US each day
Answer:
[tex]Total = 4.8 * 10^{10}[/tex]
Step-by-step explanation:
Given
[tex]h = 1.2 * 10^8[/tex] --- households
[tex]g = 400[/tex] --- gallons
Required
The number of households
To do this, we simply multiply the average households by the gallons.
[tex]Total = g* h[/tex]
[tex]Total = 400 * 1.2 * 10^8[/tex]
[tex]Total = 480 * 10^8[/tex]
Rewrite as:
[tex]Total = 4.8 * 10^2 * 10^8[/tex]
[tex]Total = 4.8 * 10^{10}[/tex]
Determine whether the series is convergent or divergent by expressing sn as a telescoping sum.
[infinity]
Σ 8/n^2-1
n=3
Answer:
The sum converges at: [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{n^2 - 1}[/tex]
Express the denominator as difference of two squares
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{(n - 1)(n+1)}[/tex]
Express 8 as 4 * 2
[tex]\sum\limits^{\infty}_{n =2} \frac{4 * 2}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{2}{(n - 1)(n+1)}[/tex]
Express 2 as 1 + 1 + 0
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+0}{(n - 1)(n+1)}[/tex]
Express 0 as n - n
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+n - n}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)-(n - 1)}{(n - 1)(n+1)}[/tex]
Split
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)}{(n - 1)(n+1)}-\frac{(n - 1)}{(n - 1)(n+1)}[/tex]
Cancel out like terms
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{6})][/tex]
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{6})][/tex]
Add [tex]a_7[/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{7 - 1} - \frac{1}{7+1})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{6} - \frac{1}{8})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{8})][/tex]
Notice that the pattern follows:
[tex]a_3 + a_5 + a_7 + ...... + a_{k}= 4[(\frac{1}{2} - \frac{1}{k+1})][/tex]
The above represent the odd sums (say S1)
For the even sums, we have:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{7})][/tex]
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{7})][/tex]
Add [tex]a_8[/tex] to both sides
[tex]a_4 + a_6 +a_8 = 4[(\frac{1}{3} - \frac{1}{7}) + \frac{1}{7} - \frac{1}{9}][/tex]
[tex]a_4 + a_6 +a_8 = 4[\frac{1}{3} - \frac{1}{9}][/tex]
Notice that the pattern follows:
[tex]a_4 + a_6 + a_8 + ...... + a_{k}= 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
The above represent the even sums (say S2)
The total sum (S) is:
[tex]S = S_1 + S_2[/tex]
[tex]S =4[(\frac{1}{2} - \frac{1}{k+1})] + 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
Remove all k terms
[tex]S =4[(\frac{1}{2}] + 4[(\frac{1}{3}][/tex]
Open bracket
[tex]S =\frac{4}{2} + \frac{4}{3}[/tex]
[tex]S =\frac{12 + 8}{6}[/tex]
[tex]S =\frac{20}{6}[/tex]
[tex]S =\frac{10}{3}[/tex]
The sum converges at: [tex]\frac{10}{3}[/tex]
What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3, 2)?
options:
y = 2x – 1
y = 3x – 7
y = 2x + 4
y = 4x + 3
y = -2x + 9
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.
Mathematically,
[tex]y-2=3(x-3)[/tex] and
[tex]y-2=3x=9[/tex] and
[tex]y=3x-9+2[/tex] so
y = 3x - 7 (the second choice)
ebsites
John has a bag of red and blue marbles. John chooses 2 marbles without replacing the first. Let A be the event where the first marble chosen
is red. Let B be the event where the second marble chosen is blue.
Which statement explains what the equation P (BA) = 0.6 means for these events?
A. The probability of choosing a blue marble after any marble has been removed is 0.6.
OB. The probability of choosing a red marble after a blue marble has been removed is 0.6.
O O O
C. The probability of choosing a blue marble after a red marble has been removed is 0.6.
OD. The probability of choosing a blue marble is 0.6, regardless of what else has been chosen.
Answer:
C. The probability of choosing a blue marble after a red marble has been removed is 0.6.
Step-by-step explanation:
P(B|A)
P(B|A) states the probability of event B happening, given that event A has happened.
In this question:
Event A: First marble is red.
Event B: Second marble is blue.
P(B|A) = 0.6
This means that the probability that the second marble is blue, considering that the first marble was red, is of 0.6, and thus, the correct answer is given by option C.
Solve the linear equations
1/4(x-5)+4=1/3(2x+7)-5/6
Answer:
x = 3
Step-by-step explanation:
Given the linear equation :
1/4(x-5)+4=1/3(2x+7)-5/6
(x-5)/4 + 4 = (2x+7)/3 - 5/6
Take the lcm and sum
(x-5+16)/4 = (4x+14-5)/6
(x+11)/4 = (4x+9)/6
Cross multiply
6(x+11) = 4(4x+9)
6x + 66 = 16x + 36
Collect like terms
6x - 16x = 36 - 66
-10x = - 30
x = 30/10
x = 3
What is the domain of function p?
p(x) = /x-1+2
Answer:
A.
Step-by-step explanation:
a strange question, as 2 answer options are actually possible, as they define valid domains for this function.
and if the range of the function would include imaginary numbers ("i"), all 4 would be correct.
the problem statement has to be much more precise. you can tell your teacher that.
but I assume, we base just on real numbers and want the biggest domain range. and that is A.
A. for x=1 we get sqrt(0) + 2, which is absolutely valid.
B. a square root of a negative number is undefined in the works of real numbers. we would need "i", the imaginary numbers, to make this a valid function.
C. is also valid. no bad values and expressions involved. it is just a snake range than A.
D. the same a for B.
The domain of the function [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]
How to determine the domain?The function is given as:
[tex]f(x) = \sqrt{x - 1} + 2[/tex]
Set the radicand greater than or equal to 0
[tex]\sqrt{x - 1} \ge 0[/tex]
Take the square of both sides
[tex]x - 1 \ge 0[/tex]
Add 1 to both sides
[tex]x \ge 1[/tex]
This means the possible values of x starts from 1 till infinity
Hence, the domain of [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]
Read more about domain at:
https://brainly.com/question/1770447
Flora is baking a pie and a cake for her restaurant. She needs 1/6 cup flour for the pie crust and 3/5 cup flour for the cake's frosting. How much flour will she use to make both?
(Type a whole number, fraction, or mixed number)
According to a NY Times article on December 13, 2009, The average selling price of a 32-inch LCD TV was $600. Use the annual CPI values from your text to compute the cost of that same TV in 2010 dollars. Express your answer rounded to the nearest cent.
Answer:
Your answer should be 647.51
Explanation : the price was 215.949 in December, 2009.
the price was 233.049 in December, 2013.
divide 233.049 by 235.949 and got 1.079185363.
multiply that by 600 and got 647.5112179.
The cost of the TV in 2010 is $647.5
Calculations and ParametersGiven that the complete information contains the Consumer Price Index values:
To find the CPI,
CPI= [tex]\frac{C_t}{C_0}[/tex]
Where C_t= cost of the market basket in the current period
C_0 = cost of the market basket in the base period
In December 2009, the price was 215. 949
In December 2013, the price was 233.049
Hence,
215. 949/233.049
= 1.079185363.
Then we would multiply by the base selling price
[tex]1.079185363 * 600 = 647.5112179.[/tex].
Read more about the consumer price index here:
https://brainly.com/question/1889164
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please help! (listing BRAINLIST and giving points) :D
George buys a pizza. He eats 3/8 of the pizza for lunch and 1/4 of the pizza for dinner. What fraction of the pizza has George eaten?
Answer:
5/8
Step-by-step explanation:
Make denominators equal
1/4 = 2/8 (Multiply both sides by 2 to get a common denominator)
2/8 + 3/8 = 5/8
An angle whose measure is - 102° is in standard position in which quadrant does the terminal side of the angle fall?
O Quadrant
O Quadrant il
Quadrant III
O Quadrant IV
I need help with #3. Please help. I have to show all work so please explain
Answer:
a = 2
Step-by-step explanation:
Use Pythagorean Theorem:
[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]
Therefore, a is 2 meters.
osha stacked 65 quarter. nicky has 5 times as many. how many more quarters does Nicky have
find the slope of the graph
Answer:
We count across to 4 on y axis = 2
and count down from 4 to -2 on x axis = -6
-6/2 = -3
m = -3
We know its minus because the reciprocal is the perpendicular imaginary line and if -3 is for the descending line then any ascending perpendicular line would show m = -1/-3 = 3
Step-by-step explanation:
Can y’all help me on question 11?!
Answer:
The correct answer is choice C.
Step-by-step explanation:
To find the area of the arrow, we must add together the areas of the rectangle and the triangle that make up the arrow. The rectangle has a length of 10 inches and a width of 4 inches, and the triangle has a base of 8 inches and a height of 2 inches. Using this information, we can plug numbers into the following formula:
Area of arrow = area of rectangle + area of triangle
Area of arrow = (10*4)+(1/2*8*2)
Area of arrow = 40 inches squared + 8 inches squared
Area of arrow = 48 inches squared
Therefore, the correct answer is option C, 48 square units (in this case, inches).
Hope this helps!