Answer:
Below in bold.
Step-by-step explanation:
8 18 30 44
the differences are 10 12 14 .etc
1.1.1 Next 2 terms are 44+ 16 = 60 and 60+ 18= 78.
1.1.2 8 = 1^2 + 7
18 = 2^2 + 14
30 = 3^2 + 21
44 = 4^2 + 38
So the nth term = n^2 + 7n.
1.1.3 n^2 + 7n = 330
n^2 + 7n - 330 = 0
(n + 22)(n - 15) = 0
n = -22, 15
As the term sequence must be positive the answer is 15.
Can someone not just tell me the answer but how to do it pls!!!
Answer:
B
Step-by-step explanation:
The first step of any problem solution is look at the given information. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
x-intercept
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
y-intercept
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
Additional comment
Part of "look at the given information" is "look at the answer choices." What you look for is what makes one choice different from the others. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
Solve 12x + 6 > 9x+ 12.
O A. x26
O B. X22
x2
O c. xs 2
O D. x56
Find the derivative of tan(x).
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Derivative of tan(x) is sec²x
[tex]\qquad \sf \dashrightarrow \: \therefore \dfrac{d}{dx} ( \tan(x)) = { \sec}^{2} (x)[/tex]
You can check the first principle method of derivation in attachment
[tex]\rightarrow \sf \dfrac{d}{dx} (tan(x))[/tex]
[tex]\rightarrow \sf \dfrac{d}{dx} ( \ \dfrac{sin(x)}{cos(x)} \ )[/tex]
use the quotient rule
[tex]\rightarrow \sf \dfrac{cos(x) * \dfrac{d}{dx} (sin(x)-sin(x)*\dfrac{d}{dx}(cos(x) }{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{cos(x) * cos(x)-sin(x)*(-sin(x) )}{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{cos(x)^2+sin(x)^2}{cos(x)^2}[/tex]
[tex]\rightarrow \sf \dfrac{1}{cos(x)^2}[/tex]
[tex]\rightarrow \sf sec(x)^2[/tex]
used formula's :
cos²(x) + sin²(x) = 1[tex]\sf \dfrac{1}{cos^2(x) }= sec^2(x)[/tex][tex]\sf \frac{d}{dx}[/tex] cos(x) = -sin(x)[tex]\sf \frac{d}{dx}[/tex] sin(x) = cos(x)tan(x) = sin(x)/cos(x)3 3/4 ÷ (1 2/3 + 2 1/2)
Answer:
9/10.
Step-by-step explanation:
3 3/4 ÷ (1 2/3 + 2 1/2)
= 3 3/4 / ( 5/3 + 5/2)
= 3 3/4 / ( 10/6 + 15/6)
= 3 3/4 / 25/6
= 15/ 4 / 25/6
= 15/4 * 6/25
= 90/100
= 9/10.
Which expression is equivalent to 3
5v ?
Answer:
x ^5/3 y ^1/3 (the second option listed)
Step-by-step explanation:
So without even solving the expression, you can find the correct option. If you're finding the cube root (or really any square root), you know it will be less than your original number (unless you are working with imaginary numbers, but you aren't).
So, if you are finding the cube root of an expression, you're finding the cube root of each number separately.
You wouldn't be cubing y, you would be finding the cube root. You wouldn't be leaving y the same, you are finding the cube root.
This means that without even solving (which I will explain),
the correct option is the second one on the screen.
Here's how to actually solve the equation:
So, if we are finding the cube root of a variable with an exponent, we can divide that exponent by 3 (because it is a cube root).
When we have a square root, you know that we are breaking down each number/variable into an even exponent to solve the expression. When taking the square root of an even exponent, such as 4, you would divide by 2.
This same strategy applies to cube roots. You are dividing the exponent of both variables by 3.
[remember: the exponent of a variable without an exponent is essentially an invisible exponent of 1.]
Mr. Garcia has 15 boys and 10 girls in his math class. He selects wo students at random to demonstrate how they solved the day's challenge assignment What is the probability that both students are girls?
Step-by-step explanation:
The temperature in Toronto was 14 F. The temperature that same night fell to -5 F. What was the difference in temperatures?
A.) 9 degrees
B.) 11 degrees
C.) 19 degrees
D.) 21 degrees
Answer:
a 9 degrees
Step-by-step explanation:
so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9
Question 1-3
The graph below shows a function that represents the weekly earnings, in dollars, for a company that makes x sets of headphones per week.
7,0001
6,000
5,000
4,000
Earnings (5)
3,000
2,000
1,000
0 1,000 2,000 3,000 4,000 5,000 6,000
Number of Headphones Made per Week
Based on this model, which statements are true? Choose ALL that are correct.
When producing 5,000 sets of headphones per week, the weekly earnings is $0.
If production is increased from 3,000 to 4,000 sets of headphones per week, then the weekly earnings will also increa
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increa
The production graph of the company is a quadratic graph
The true statements about the production graph are:
When producing 5,000 sets of headphones per week, the weekly earnings is $0.Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.The maximum possible earnings is about $6,250 per week.If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increaseHow to interpret the model?To interpret the model, we simply evaluate the options one after the other
Producing 5000 sets weekly
From the graph, we have:
(x,y) = (5000,0)
This means that a weekly production of 5,000 sets of headphones give an earning of $0.
Hence, this option is true
Increased production from 3000 to 4000
From the graph, the function value decreases when x increases from 3000 to 4000.
This means that this option is false
Producing 2500 sets
The production of 2500 sets give a maximum earning of $6250
This means that options (c) and (d) are true
Increased production from 1500 to 2000
From the graph, the function value increases when x increases from 1500 to 2000.
This means that this option is true
Hence, the true statements are: (a), (c), (d) and (e)
Read more about quadratic graphs at:
https://brainly.com/question/7988424
What is the value of 6(2b-4) when b=5?
Answer:
Step-by-step explanation:
What is the value of 6(2b-4) when b =5 2. The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get.
can i have brainly please :) thanks bro
Answer: 36
Step-by-step explanation:
hey who knows this? i need help
Answer:
I don't see any thing there
Step-by-step explanation:
u need to include the picture
34,678 rounded to the nearest hundred.
Answer:
34,700.
Step-by-step explanation:
The tens digit is 7 so we round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.
Answer:
34,700
Step-by-step explanation:
34,678
3 is in the ten thousands place
4 is in the thousands place
6 is in the hundreds place
7 is in the tens place
8 is in the ones place
When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.
So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.
400, 500, 600, 700
As you can see, the nearest hundred is 700
Our answer would be 34,700
Hope this helps!
How do you write 1.27 repeating as a fraction
btw the repeating part is 7
Answer:
1 27/100
Step-by-step explanation:
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
Answer:
4
Step-by-step explanation:
A.
subtract both slopes
B.
in word problems:
"rate of change" means slope
C.
1. horizontal line's slope is 0
2. number next to the x is the slope
y = 4x + 1 : slope is 4
3. "How much more" is word problems means subtract
4 - 0 = 4
D.
horizontal and vertical lines' slopes are 0
Write an exponential function for the graph
A. Y=0.5(2)x
B. Y=2(0.5)x
C. Y=(2•0.5)x
D. Y=2(5)x
Answer: c
Step-by-step explanation: Simple addition with decimals.
100 points and brainliest if u answer this right
Consider this dilation
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
a) Enklargement, b) k = 2Step-by-step explanation:
a)
The original figure is ABC and the image is A'B'C'.
We can see the image is larger than the original figure.
It indicates that the dilation is an enlargement.
b)
Find the ratio of corresponding sides to find the scale factor.
First get the measure of corresponding line segments.
AC = 2 - (-2) = 4A'C' = 5 - (-3) = 8The scale factor is:
k = A'C'/AC = 8/4 = 2#1
Enlargement#2
Take two sides of both
BC=|-3-1|=4unitsB'C'=|-3-5|=8unitsScale factor:-
k=8/4=2Sectionalism:Question 10
What was the main reason that most northerners were opposed to the
new Fugitive Slave Act created by the Compromise of 1850?
Answer:
They felt it gave the commissioners too much power and was unfair to slaves by giving them a trail without injury
Pls pls pla help it lol
PLS HELP ME 50 POINTS AND I WILL MARK THE BRAINLIEST
Answer:
1. 392 in², 2. 94.99 cm², 3. 145.2 ft², 4. 161.5 m², 5. 17 ft and 81 cm
Step-by-step explanation:
1. A = 16 x 19
A = 304
A = 1/2(11x16)
A = 1/2(176)
A = 88
304 + 88 = 392 in²
2. A = πr²
A = 3.14*5.5²
A = 3.14*30.25
A = 94.985
A = 94.99 cm²
3. A = 1/2(bh)
A = 1/2(11x26.4)
A = 1/2(290.4)
A = 145.2 ft²
4. A = bh
A = 9.5*17
A = 161.5 m²
5. part 1
A = (1/2) · (p + q) · h
112 = (1/2)(11+q)(8)
112 = 4(11+q)
112 = 44 + 4q
68 = 4q
17 = q
17 ft
5. part 2
A = lw
364.5 = 27w
13.5 = w
P = 2l + 2w
P = 2(27) + 2(13.5)
P = 54 + 27
P = 81
81 cm
Hope this helps :)
Save my soul!!!!
if you can pIz show me what you did to get answers.
Answer:
9
41/4
23/2
51/4
14
Step-by-step explanation:
The first term is the first term that is given. Just copy it.
Each next term is the previous term plus the common difference.
First term: a_1 = 9
Second term: a_2 = 9 + 5/4 = 36/4 + 5/4 = 41/4
Third term: a_3 = 41/4 + 5/4 = 46/4 = 23/2
Fourth term: a_4 = 46/4 + 5/4 = 51/4
Fifth term: a_5 = 51/4 + 5/4 = 56/4 = 14
The decimal value of 5/8
0.625
Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.
Dividing 5/8, It's Equal To 0.625
Step-by-step explanation:
5/8 = O.625
J^3 = 0.125 (I don’t understand help me please)
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ J^3=0.125\implies J^3=\cfrac{0125}{1000}\implies J^3=\cfrac{1}{8}\implies J^3=\cfrac{1}{2^3} \\\\\\ J^3=2^{-3}\implies J^3=(2^{-1})^3\implies J=2^{-1}\implies J=\cfrac{1}{2}[/tex]
this is the second part of my homework
pls help me if u can :)
Answer:
no 4. radius is x
no 5. radius is a
no 6. radius is y
Step-by-step explanation:
have no idea about tangents
Solution 4 :-
⠀
Tangent = RYPoint of tangency = RRadius = XT⠀
Solution 5 :-
⠀
Radius = TD or DAInscribed Angle = ∠RQSDiameter = AT⠀
Solution 6 :-
⠀
Radius = YSSecant = TUTangent = ST⠀
★ Important terms to keep in mind :-
⠀
✰ Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.
⠀
✰ Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.
⠀
✰ Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.
⠀
✰ Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.
⠀
✰ Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.
⠀
✰ Secant : A line segment joining exactly two points of a circle is known as secant.
⠀
✰ Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
Consider the incomplete paragraph proof.
Given: P is a point on the perpendicular bisector, l, of MN.
Prove: PM = PN
Line l is a perpendicular bisector of line segment M N. It intersects line segment M N at point Q. Line l also contains point P.
Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN.
point M
point Q
segment PM
segment QM
Answer: point M
Step-by-step explanation:
Answer: point M
i took the test
Express the following ratio: 18 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
3:4
Step-by-step explanation:
18inches : 2feet
18 inches: 2x12 =24 inches
18:24 - 3:4(divide by 6)
Evaluate expression if a = 2.
a² - 5a - 6
Answer:
-12.
Step-by-step explanation:
a^2 - 5a - 6
When a = 2 we have
2^2 - 5(2) - 6
= 4 - 10 - 6
= -12.
Answer:
Step-by-step explanation:
a²- 5a - 6
Substitute a for 2
(2)² - 5(2) - 6
Solve.
4 - 10 - 6 = -12
If a = 2, a²- 5a - 6 equals -12
i need help with the second part of the question please helppp!!! will give brainliset
Answer:
$79.99
Correct method:
[tex]\rightarrow \sf 5(r-14.5)=327.45[/tex]
[tex]\rightarrow \sf 5r-72.5=327.45[/tex]
[tex]\rightarrow \sf 5r=327.45+72.5[/tex]
[tex]\rightarrow \sf 5r=399.95[/tex]
[tex]\rightarrow \sf r=\dfrac{399.95}{5}[/tex]
[tex]\rightarrow \sf r=79.99[/tex]
The regular price is $79.99
Answer:
$79.99
Step-by-step explanation:
The error is in step 3. He needed to ADD 72.50 to both sides of the equation. Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.
Correction calculation
5(r - 14.50) = 327.45
5r - 72.50 = 327.45
5r = 399.95
r = 79.99
The regular price is $79.99
find the value of x, round to the nearest 10th
I will give brainliest
A plane flies 100km north and then flies 400km south, what is its new position?
Answer:
300km south
Step-by-step explanation:
Go up once from original position then down four times
Here are the endpoints of the segments BC, FG, and JK.
B, −67
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}[/tex]
[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]
[tex]JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill[/tex]
Find the circumference and the area of a circle with radius 4 ft
Answer:
C≈25.13ft
Step-by-step explanation:
C=2πr=2·π·4≈25.13274ft