Answers
Related Questions
The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -15, -11, -7, ...? an = -15 + (-4)(n - 1) an = -15 + (n - 1) an = 4 + (-15)(n - 1) an = -15 + 4(n - 1)
Answers
Answer:
4th choice
Step-by-step explanation:
First we would just solve the equation since that is the easiest way. So 15 would be our a1 or first term and each time the number is being added by 4 so we would get an = -15 + 4(n - 1) for our final answer or the 4th choice
Answer:
option 4
Step-by-step explanation:
-15, -11 , -7 ,......
First term = [tex]a_{1}[/tex] = -15
Common difference = d = 2nd term - 1st term
= -11 - [-15]
= -11 + 15 = 4
Plug in the values of [tex]a_{1}[/tex] & d in the formula
[tex]a_{n} = a_{1} + d (n-1)\\\\a_{n} = -15 + 4*(n-1)[/tex]
A bag contains 4 red marbles,
6 white marbles, and 5 blue
marbles. IT a blue marble was
removed from the bag and not
replaced, what is the probability
of then selecting a red marble?
Answers
Step-by-step explanation:
4+6+5=15
15-1=14
2/14
1/7
Answer:
[tex]\boxed{\frac{2}{7}}[/tex]
Step-by-step explanation:
Part 1: Finding out total number of marbles
To start, we need to find out how many marbles are in the bag.
[tex]4 + 6 + 5 = 15[/tex] marbles
Part 2: Removing blue marble and finding probability
After removing the blue marble and not replacing it, we can then infer that we have 14 marbles remaining.
If we have 4 red marbles in the bag, simply find the ratio of red marbles to the total marbles.
[tex]\frac{4}{14} = \boxed{\frac{2}{7}}[/tex] or a 28.57% chance of occurrence.
construct a 30 60 90 degree triangle with short leg equal to AB. i dont really understand what it means i think im suposed to use AB as a base but i dont know want to do after that
Answers
So basically what they're asking is that each of the angles of the triangle you're creating must be 30, 60, and 90 degrees. The term "leg" is generally the base so AB on your screen is probably a length. This'd help you with how big you should make the angles of the triangle.
Hope this helps!! <3
Comeplete the table for the given rule. Rule: y = x/4
Answers
Answer:
x=16
x=8
x=36
Step-by-step explanation:
16÷4=4
8÷4=2
36÷4=9
Answer:
please see the attached picture.
Hope it helps..
Best regards!!
Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
which of the following statements is true?
Answers
Answer:
Option A
Step-by-step explanation:
According to the graph it never crosses the x axis meaning that it has 0 roots beecasue roots is another word for x-values.
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ? , ?, ?, ?, ? Now, the only numbers used are in the range of 1 to 19. No numbers can be repeated. Now, there is a pattern to the sequence of numbers, and your keen powers of observation will be able to note that the last five numbers used in the sequence will be some combination of 13, 12, 10, 3, and 2. (If you’re more into logic brain-busters, a MIT professor called this puzzle “the hardest ever.”) Any luck? Here are a few hints: The sequence doesn’t obey any mathematical rule, and it is not counting any particular group of things. The only way to figure out the problem, according to Spencer, is to think of the numbers as words and write them out. The completed sequence is as follows: 8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2. Numerically, the sequence’s order is meaningless. That’s because they’re actually just listed in alphabetical order. While you’re in puzzle-mode, a bunch of raccoons solved this ancient Greek riddle—can you figure it out?
Answers
Answer:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, 10, 13, 3, 12, 2
Step-by-step explanation:
The answer is actually very simple: the numbers are placed in alphabetical order.
E ight
E ighteen
E leven
F ifteen
F our
F ourteen
N ineteen
O ne
S even
S eventeen
S ix
S ixteen
T en
T hirteen
T hree
T welve
T wo
What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374
Answers
Answer:
121
Step-by-step explanation:
This is an arithmetic sequence.
First term a = -15
Common difference [d] = second term - first term
= -11 - [-15] = -11 + 15 = 4
nth term = a + (n-1) * d
35th term = -15 + (35 - 1) * 4
= -15 + 34 * 4
= - 15 + 136
= 121
Answer:
121 and 257
Step-by-step explanation:
So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].
Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].
i need an explanation for this question!
Answers
Answer:
D
Step-by-step explanation:
2/5 is 40%, so we need to find 40% of 25. .40 x 25 = 10. We see that 31 - 40 has 8 values and 41 to 50 has to, and 8 + 2 = 10, so our answer is D.
27. Theodore had 24 baseball cards. He sells 1/4 of his cards
to Tom, 13 of his cards to Larry. How many baseball cards
does Theodore have left?
(A) 14
(B) 15
(C) 12
(D) 10
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Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.
Answers
Answer:
The reason Max will give is:
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
x - 3y=1
7x+2y=7
Jerry's way of solving the equation
2y=7-7x
Divide both sides by 2
2y/2=7-7x/2
y=7-7x/2
Substitute y=7-7x/2 into (2)
7x+2y=7
7x+2(7-7x/2)=7
This is a complex way of solving the equation
Max's proposed efficient way
x - 3y=1 (1)
7x+2y=7 (2)
From (1)
x=1+3y
The reason Max will give is:
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Substitute x=1+3y into (2)
7x+2y=7
7(1+3y)=7
7+21y=7
Divide through by 7
1+y=7
y=7-1
y=6
Is the efficient way that Max proposed
Answer:
A
Step-by-step explanation:
Brainliest?
Please help me with this geometry question :((
Answers
Step-by-step explanation:
the proportion that contains BC and FI :
BC / FG = proportion
8/4= proportion
2= proportion
BC/FI=8/3
Name the prism in each case given that all lateral faces are rectangles and the bases are: Squares
Answers
Answer:
Rectangular Cuboid
Step-by-step explanation:
A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares. Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape. Hence, we have the prism, rectangular cuboid.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground. y=-16x^2+266x+102 The amount of time it takes for the rocket to hit the ground is ____ seconds
Answers
Answer:
17 seconds
Step-by-step explanation:
Solution:-
The trajectory of a rocket launched is modeled by a parabolic path via a quadratic equation as follows:
[tex]y = -16x^2 + 266x +102[/tex]
Where,
y: The height of the rocket from ground
x: The time taken since rocket launch
We are to determine the time ( x ) it takes for the rocket to hit the ground. This can be determined by setting the quantity ( y ) to zero as follows
[tex]y = -16x^2 + 266x +102 = 0\\\\ -16x^2 + 266x +102 = 0[/tex]
solve the quadratic equation using quadratic formula as follows:
[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-266 +/- \sqrt{266^2 - 4*(-16)*(102)} }{2*(-16)} \\\\x = \frac{-266 +/- 278 }{-32} \\\\x = 8.3125 +/- 8.6875\\\\x = 17 , -0.375[/tex]
Answer: Ignore the negative value for time " -0.375 ". Hence, the rocket hits the ground at time t = 17 seconds
SO I HAVE A QUESTION IS THE EQUATION Y-Y1=M(X-X1) AND Y=MX+B SAME GIVE EXAMPLES PLSSSSSSSSSS
Answers
Both of these are ways to express linear equations.
[tex]y - y_1 = m(x - x_1)[/tex] is the equation for a line with slope m which contains the point [tex](x_1,y_1)[/tex]. This is called point-slope form.
[tex]y = mx + b[/tex] is the equation for a line with slope m and y-intercept b. That is, it contains the point (0, b). This is called slope-intercept form.
Both of these are perfectly valid ways of writing lines, though sometimes one will be easier to use than the other.
Answer:
Hey there!
Both of these can be used to write the equation of the line. However, for the Y-Y1=M(X-X1) equation, we must know one point on the line (X1, Y1) and the slope of the line, while in the Y=MX+B equation, we need to know the slope and the x or y intercept.
For example, we can convert from Y-Y1=M(X-X1) to Y=MX+B
For example, say the point is (2, 3) and the slope is 1
Then, we have Y-3=1(x-2)
This simplifies to Y-3=1x-2
And to Y=X+1
So it is very possible to change from one form to another.
Let me know if you need more help.
Find all exact values of
If there are multiple solutions, list the solutions in numerical order separated by commas. If there is no solution, use Ø.
Provide your answer below:
Answers
Answer:
General solution
θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]
Put n=1
θ = 210°
put n =2
θ = 330°
put n=3
θ = 270°
Step-by-step explanation:
Explanation:-
Given equation
sin 2θ cosθ + cos 2θ sinθ = -1
we know that
Sin (A+B) = sin A cos B +Cos A sin B
sin( 2θ+θ) = sin (180+90)
= [tex]Sin(\pi +\frac{\pi }{2})[/tex]
sin 3θ = sin (3π/2)
General solution of sinθ = sinα
θ = 2 n π ±α
3θ = 2 n π ±3π/2
θ =[tex]\frac{2n\pi }{3} +\frac{3\pi }{6}[/tex]
θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]
Put n=1
θ=[tex]\frac{2\pi }{3} +\frac{\pi }{2}=\frac{4\pi +3\pi }{6} =\frac{7\pi }{6}[/tex] = 210°
put n =2
θ=[tex]\frac{4\pi }{3} +\frac{\pi }{2}=\frac{8\pi +3\pi }{6} =\frac{11\pi }{6}[/tex] = 330°
Put n=3
θ=[tex]\frac{2 (3)\pi }{3} +\frac{\pi }{2}=2\pi +\frac{\pi }{2} = \frac{3\pi }{2}[/tex] = 270°
which number line represents the solution to [x-5]=1
Answers
Answer:
Step-by-step explanation:
If there are illustrations to given problems, please share those illustrations. Thank you.
The only value of x for which [x-5]=1 is true is 6: [6-5]=1
Steps to solve:
x - 5 = 1
~Add 5 to both sides
x - 5 + 5 = 1 + 5
~Simplify
x = 6
Best of Luck!
(SAT Prep) Find the value of x.
Answers
Answer:
24 degrees
Step-by-step explanation:
94+41 = 135 degrees
180 - 135 = 45 degrees
111 + 45 = 156 degrees
180 - 156 = x = 24 degrees
Hope I could help :)
Answer:
24
Step-by-step explanation:
-2<3 multiple each side by -5 what is the resulting inequality
Answers
Answer:
[tex]\boxed{10>-15}[/tex]
Step-by-step explanation:
[tex]-2<3[/tex]
Multiply each side by -5.
[tex]-2 \times -5 <3 \times -5[/tex]
Switch signs when multiplying or dividing by a negative integer.
[tex]10>-15[/tex]
Answer:
10 > -15
Step-by-step explanation:
-2 < 3
We want to multiply each side by -5 and we want to see what happens:
-2 * -5 < 3 * -5
= 10 < -15
This is a wrong inequality as 10 is ahead of -15 on the number line.
6÷2(1+2) isn't that should be 1 , cause in the calculator it said 9 but the order is the parenthisis/brakets first ?? so it should be like 2 times 3 then 6÷6 which gives 1 .
Answers
Answer:
9
Step-by-step explanation:
because it is 6 divided by 2 then (1+2) 3x3
Answer:
yes your are right
Step-by-step explanation:
got it right
There are 3 different roads from city A to city B and 2 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B and then return back to A? 36, 10, 5, 24
Answers
Answer:
36
Step-by-step explanation:
There are 3 * 2 = 6 ways to go from A to C and then 2 * 3 = 6 ways to go from C to A so the answer is 6 * 6 = 36.
Find the correct algebraic representation of the rotation shown below.
a. (y, -x)
b. (-x, -y)
c. (-y, x)
d. (y, x)
Answers
Answer:
-y, x
Step-by-step explanation:
x values go from negative to positive and the y values remain negative
Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
O 81
09
3
Answers
Answer:
3
Step-by-step explanation:
(x - 2)^2 + (y - 4)^2 = 9
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x - 2)^2 + (y - 4)^2 = 3^2
The center is ( 2,4) and the radius is 3
Answer:
r = 3
Step-by-step explanation:
The stock equation for a circle of center (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.
please answer question 10
Answers
Answer:
Length = 5 units, Area = 51 unit squared
Step-by-step explanation:
For the length of the midsection (I think this is what you're talking about):
Method 1.
Draw the graph and count the units across for the length.
Method 2.
The lowest y coordinates are the 0 from point A and the 0 from point B: this means that the line between point A and B is the bottom line of the trapezoid.
The highest y coordinates are the 6 from point C and the 6 from point D: this means that the line between point C and D is the top line of the trapezoid (parallel to line AB).
Since the length of the midsection is essentially the shorter line of the two parallel lines, it is the length between point C and point D.
(10, 6) - (5, 6) = 5, so the length of the midsection is 5 units.
For the area:
Step 1. Add the lengths of the pair of parallel lines.
5 units + 12 units = 17 units
Step 2. Divide the answer to step 1 by 2.
17 units ÷ 2 = 8.5 units
Step 3. Multiply the answer to step 2 by the height between the two parallel lines.
6.5 units x 6 units = 51 units squared
Hopefully this was what you were looking for!
Bluey :)
For her birthday, Monica can invite 6 of her 15 student friends to join her at a theme park. If she chooses to invite friends at random, what is the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen? 1 out of 3,603,600 10 out of 27,358 1 out of 5,005 1 out of 720
Answers
Answer:
(C)1 out of 5,005
Step-by-step explanation:
There are a total of 15 student friends.
Monica wants to invite 6 of her friends.
The number of ways this can be done is:
[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]
Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen
[tex]=\dfrac{1}{5005}[/tex]
FIRST GETS BRAINLLEST A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles and 6 blue marbles. Predict how many red marbles are in the bag.
Answers
Answer:
45 red marbles
Step-by-step explanation:
Okay, so the ratio is 9:15:6. We add that up and we get 30. We do 150/30 and get 5. Each number in the ratio is equal to 5. We do 9*5=45.
Answer:
45 red marbles
Step-by-step explanation:
Out of the 30 marbles picked, 9 were red so that's 3/10 of the smaller sample. If you take 3/10 of 150 to get the value of the larger sample, you will get 45 marbles.
1/90 times -1/3 please give a explanation! ( if you give the reciprocal of the product for this equation Ill give brainliest)
Answers
Answer:
[see below]
Step-by-step explanation:
[tex]\frac{1}{90}*-\frac{1}{3}\\\\\frac{1*-1}{90*3}\\\\\frac{-1}{270}\\\\\boxed{-\frac{1}{270}}[/tex]
If a number gets multiplied by it's reciprocal, the product would be one.
[tex]\frac{x}{y}*\frac{y}{x}=1\\\\-\frac{1}{270}*-\frac{270}{1}= 1[/tex]
The reciprocal of the product of the equation is [tex]-\frac{270}{1}[/tex].
Hope this helps.
If you're good at trigonometry please help meeee
On a 30-60 set square, the side opposite the 60 degree angle is 80mm long. Find the length of the longest side to the nearest millimetre
Answers
Answer:
[tex]\boxed{92 \: \mathrm{mm}}[/tex]
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
sin (60) = [tex]\frac{80}{x}[/tex]
x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]
x = 92.37604307...
x ≈ 92
Using the base dimension and either given angle you can solve for x
Sin(angle) = opposite leg/ hypotenuse
Sin(60) = 80/x
X = 80/sin(60)
X = 80/ sqrt(3)/2
X = 160/3 x sqrt(3). (This is exact answer)
For a decimal answer: 160/3 = 53 1/3
Multiplied by sqrt(3) = 92.376 mm
Rounded to nearest mm = 92
Cutting equilateral triangle BFC out of square ABCD and translating it to the left of the square creates the shaded figure ABFCDE. The perimeter of square ABCD was 48 inches. What is the perimeter, in inches, of ABFCDE?
Answers
Answer: 72 inches
Step-by-step explanation:
You are given that equilateral triangle BFC is cut out of square ABCD, since it is an equilateral triangle, that is all sides are equal to each other, we can therefore find the side of a triangle.
Given that the perimeter of square ABCD was 48 inches.
Perimeter of a square = 4L
Substitute 48 into the formula
48 = 4L
L = 48/4 = 12 inches
That means each length = 12 inch
Perimeter P of the shaded figure ABFCDE will be
P = AB + BF + FC + CD + DE + EA
P = 12 + 12 + 12 + 12 + 12 + 12
P = 72 inches
Therefore, the perimeter of ABFCDE is 72 inches.
Answer:
72
Step-by-step explanation:
We know that each side of a square is equal so if the perimeter is 48 then 48/4 = 12 and knowing the bottom of that triangle cut out is 12 we can solve each side 12 since its a equilateral triangle.
12*6= 72 = answer
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answers
Answer:
y=|x+1|
Step-by-step explanation:
The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)
But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|
So y=|x+1|
The graph represents the equation : g(x) = |x + 1|
We have a graph given to us.
We have to write the algebraic expression depicting this graph.
What is Modulus of the function y = f(x) = x ?The modulus of the function y = f(x) = x is given by -
y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]
Using the above property, we can find out the number of solutions of any modulus equation.
The algebraic equation for the graph can be written as -
g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]
In the form of modulus function, we can write the above equation as -
g(x) = |x + 1|
Hence, the graph represents the equation : g(x) = |x + 1|
To solve more questions on modulus function, visit the following link -
https://brainly.com/question/13103168
#SPJ5
Pls help With this question thank you
Answers
Answer:
[tex]CD=4 \text{ cm }[/tex]
Step-by-step explanation:
We have a similarity of triangles. Once the side BC and ED are parallel,
[tex]$\frac{BC}{AC} =\frac{ED}{AD} $[/tex]
[tex]$\frac{10}{AC} =\frac{5}{4} $[/tex]
Once [tex]AC=AD+CD \Rightarrow AC=4+CD[/tex]
[tex]$\frac{10}{4+CD} =\frac{5}{4} $[/tex]
[tex]5CD+20=40[/tex]
[tex]5CD=20[/tex]
[tex]CD=4 \text{ cm }[/tex]