Answer:
Number of term n = 12
Step-by-step explanation:
Given:
a1 = -2
a2 = 3
Sum = 306
Find:
Number of term n
Computation:
d = a2 - a1
d = 3 - (-2)
d = 5
Sn = n/2[2a + (n-1)d]
306 = n/2[2(-2) + (n-1)5]
612 = n[-4 + 5n -5]
5n² - 9n - 612 = 0
Number of term n = 12
Which ordered pair is a solution to the system of inequalities? Y<3x, y<5
Answer:
you have to show a picture
Step-by-step explanation:
Answer:
Step-by-step explanation:
(9, 4)
If triangles DEF and NPQ are similar, what is the length of side q?
• Enter the answer as a fraction.
Answer:
q= 45/14 (or) 3 3/14
Step-by-step explanation:
7/9=5/2/q
cross multiply
7q=45/2
q=45/2÷7
q= 45/14 (or) 3 3/14
Which of the following sets of sides does not form a right triangle?
6, 8, 10
7, 24, 26
5, 12, 13
8, 15, 17
Answer:
7, 24, 26
Step-by-step explanation:
The correct triple should be 7,24,25
John has $55. He buy 6 books. Each book cost the same amount . He now has 10
Answer:Answer: $7.50
Step-by-step explanation:
$55-$10=$45 45/6=7.5
Step-by-step explanation:
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answer:
6 x 1/3 = 2
Step-by-step explanation:
Can somebody please help me with this
please help i really need help please
Answer:
14) equilateral triangle
15) right triangle
16) equilateral triangle
Step-by-step explanation:
14) equilateral triangle
15) right triangle
16) equilateral triangle
please, someone, help very hard
Answer:
A. G'(5) = 20
B. G'(5) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[Given] F(5) = 4, F'(5) = 4, H(5) = 2, H'(5) = 3
[Given] A. G(z) = F(z) · H(z)
[Given] B. G(w) = F(w) / H(w)
[Find] G'(5)
Step 2: Differentiate
A. G(z) = F(z) · H(z)
[Derivative] Product Rule: G'(z) = F'(z)H(z) + F(z)H'(z)B. G(w) = F(w) / H(w)
[Derivative] Quotient Rule: G'(w) = [F'(w)H(w) - F(w)H'(w)] / H²(w)Step 3: Evaluate
A. G'(5)
Substitute in x [Function]: G'(5) = F'(5)H(5) + F(5)H'(5)Substitute in function values: G'(5) = 4(2) + 4(3)Multiply: G'(5) = 8 + 12Add: G'(5) = 20B. G'(5)
Substitute in x [Function]: G'(5) = [F'(5)H(5) - F(5)H'(5)] / H²(5)Substitute in function values: G'(5) = [4(2) - 4(3)] / 2²Exponents: G'(5) = [4(2) - 4(3)] / 4[Brackets] Multiply: G'(5) = [8 - 12] / 4[Brackets] Subtract: G'(5) = -4 / 4Divide: G'(5) = -1Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Finding missing angle. PLEASE HELP ME!
Answer:
x=147°
Step-by-step explanation:
1. Analyze: The angle opposite to the 33 degree angle is 33 degrees because they are vertical angles.
2. Make an equation: The sum of all four angles (x, the angle opposite of x, the 33 degree angle, and the angle opposite of the 33 degree angle) is 360°. Therefore the equation would be (33°x2)+2x= 360°.
3. Solve for x:
a. Multiply 33 by 2
66+2x=360
b. Subtract 66 from both sides
66+2x=360
-66 -66
2x=294
c. Divide both sides by 2
[tex]\frac{2x}{2} =\frac{294}{2}[/tex]
x=147
4. Remember to add your label- the degree sign (°)
x=147°
50 points!!!! Assuming all parabolas are of the form y = ax^2+ bx + c, drag and drop the graphs
to match the appropriate a-value.
Answer:
Step-by-step explanation:
a > 0 for an up-opening parabola, so a = 0.25 for the third graph.
The greater the magnitude of a, the skinnier the parabola.
|-1| < |-4|, so a = -4 for the first graph.
PLEASE HELP NEEDED TODAY
Answer:
the missing side of the rectangle should be twelve
Step-by-step explanation:
Answer: the other side is 7 units right ?i do not know but that is my answer
Step-by-step explanation:
Kiran scored 223 more points in a computer game than Tyler. If Kiran scored 409
points, how many points did Tyler score?
Answer:
186
Step-by-step explanation:
Tyler: 223 less than Kiran
Kiran: 409
409 - 223 = 186
what's the answer! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?
Answer: $179.70
Step-by-step explanation:
The simple interest will be:
= (Principal × Rate × Time) / 100
= ($6000 × 5.99% × 5) / 10
= ($6000 × 0.0599 × 5) / 10
= $1797 / 10
= $179.70
Therefore, the total interest on the loan is $179.70
What are the zeros of f(x) = x(x-7)?
A. x = 0 and x = -7 O
B. x = 0 only ооо O
c. x = 0 and x = 7
D. X = 7 only
Answer:
c. 0 and 7
Step-by-step explanation:
Lines p and q are perpendicular. If the slope of line p is 2, what is the slope of
line a?
Answer:
D. -½
Step-by-step explanation:
Since line p and q we perpendicular to each other, thus, the slope of line q will be the negative reciprocal of the slope of line p.
Given that line p has a slope of 2, therefore, the slope of line q will be the negative reciprocal of 2.
Negative reciprocal of 2 = -½.
Slope of line q = -½.
Which of the following trigonometric ratios are correct?
Answer:
Step-by-step explanation:
Question 4
Which pattern of points in a scatterplot describes r=-1.0?
A) All points lie on a horizontal line
B) All points lie on a line that increases from left to right?
C) All points lie on a line that decreases from left to right?
D) A cloud of random points.
Х
32°
X =
degrees.
PLEASE HELP
Whoever answer is correct gets brainleiest .
Answer:
9/24 for the first and 8/24
Find the vertex of the function. ill mark brainlist
Answer:
(2,-9)
Step-by-step explanation:
Find the value of x.
Answer:
write 9x+80=7x+120
next transpose the x values to one side and the number to other side
i.e 9x-7x=120-80
= 2x= 140
x=140/2
and you will get the answer 70
so x=70
Step-by-step explanation:
Please mrk me as brainliest if you
What is the coordinates after (x+2, y + 3)
Answer:
L is (2,4) M (3,1,) N(0,4)
Step-by-step explanation:
L 0+2=2 so x is 2
L 1+3=4 so y is 4
M 1+2=3 so x is 3
M -2+3=1 so y is 1
N -2+2=0 so x is 0
N 1+3=4 so y is 4
When peanuts are packaged in their shells, most shells have two peanuts inside, but some have three and some only have one. A quality control inspector wants to determine if more than 10% of all shells contain just one peanut. If the inspector were to conduct a hypothesis test for p, the proportion of shells with just one peanut, what would be the appropriate pair of hypotheses for the inspector to use
Answer:
c- H0: p = 0.1 and Ha: p > 0.1
Step-by-step explanation:
Need help with 6th grade math
1 kilogram of baking soda costs $4.5
Step-by-step explanation:
To solve this problem, we will follow the steps bellow:
Using proportion;
Let x be the cost of 1 kg of baking soda
kilogram = $ 2
1 kilogram = x
Cross - multiply
× x = $2 × 1
× x = $2
= $2
Multiply both-side of the equation by 9
× 9= $2 × 9
At the left-hand side of the equation 9 will cancel-out 9, hence our equation becomes
4x = $18
Divide both-side of the equation by 4
= $
x = $4.5
1 kilogram of baking soda costs $4.5
Step-by-step explanation:
Classmates Joan, Peta, and Linda each received $400 as graduation gift. Joan deposits her money in an account that earns 7% interest compounded annually and keeps the money in the account for three years. Peta deposits her money, plus an extra $70, in an account that earns 8% interest compounded annually and keeps the money in the account for two years. Linda deposits her money in an account that earns 5% compounded'annually and keeps the money in the account for one year.
Who has more money when they close their accounts and why?
A) Joan, because she kept her money in the longest.
B) Linda, because of her interest rate.
C) Peta, because she invests the most.
D) They all make the same amount.
9514 1404 393
Answer:
C) Peta, because she invests the most
Step-by-step explanation:
The additional $70 that Peta invests is equivalent to more than 2 years' interest at either of the other rates. Not only does Peta invest more money, she does so at a higher interest rate.
Peta will have the most money in her account when she closes it.
__
The balances will be ...
Joan $490.02
Peta $548.21
Linda $420.00
There are two squares.ONe has a side length of 12 inches and the other has a side length of 14 inches.What is he total area of both squares?
Answer:
340 in^2
Step-by-step explanation:
1. First square
A = l*w = 12^2 OR 12*12 = 144
2. Second square
A = l*w = 14^2 OR 14*14 = 196
3. Combined Area
144+196=340
The area of a square is found by squaring the side length, which is the same as multiplying two of the sides together.
Square 1: 12 x 12 = 144 square inches.
Square 2: 14 x 14 = 196 square inches.
Total area = 144 + 196 = 340 square inches.
What value of b completes the function f(x)=-x^2+bx+1?
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
Rosario is working on an 8-foot-by- 8-foot floor covered with 64 white tiles. She replaces x white tiles with blue tiles. After she's finished, there are 40 white tiles left. Write and solve an equation to find the number of blue floor tiles Rosario used.
Answer: 24 blue tiles.
Step-by-step explanation:
Initially, the floor is (completely) covered with 64 white tiles.
Now we remove x white tiles, and we replace them with blue tiles.
Then if we removed x white tiles, now the number of white tiles is:
64 - x
And we know that after Rosario finishes the work, there are 40 white tiles left in the floor.
Then:
64 - x = 40
now we can solve this for x.
64 - 40 = x
24 = x
this means that 24 blue tiles were used.
Linear equation is the equation in which the highest power of the unknown variable is 1. Linear equations are used to solve the condition based problems. The number of the blue floor tiles is 24.
Given information-Rosario is working on an 8-foot-by- 8-foot floor.
The floor is covered with 64 white tiles.
Linear equation
Linear equation is the equation in which the highest power of the unknown variable is 1. Linear equations are used to solve the condition based problems.
As she replaces x tiles with blue tiles, therefore the number of the white tiles remain say y,
[tex]y=64-x[/tex] ......1
Suppose the above equation is equation number 1.
Now after she's finished the work, there are 40 white tiles left. This 40 tiles are replaced by the blue tiles. As we had supposed the number of reaming tiles is y and the value of remaining tiles is 40. Thus,
[tex]y=40[/tex]
Put this value of y in the equation 1. Thus,
[tex]40=64-x[/tex]
Solve for x, we get,
[tex]x=64-40\\ x=24[/tex]
Hence the number of the blue floor tiles is 24.
Learn more about the linear equation here;
https://brainly.com/question/11897796
A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] The positive whole number N, when multiplied by 150, is a perfect square. What is the least possible positive whole number value for the number N?
Answer:
300
Step-by-step explanation:
what is the volume of the figure?