Answer:
n = 60.22
Step-by-step explanation:
Hello
To find Sn, we need to draw out equations for each a₇ and a₁₉
In an arithmetic progression,
Sn = a + (n-1)d
Where Sn = sum of the A.P
a = first term
d = common difference
a₇ = 32
32 = a + (7-1)d
32 = a + 6d ........equation (i)
a₁₉ = 140
140 = a + (19-1)d
140 = a + 18d .........equation (ii)
Solve equation (i) and (ii) simultaneously
From equation (i)
32 = a + 6d
Make a the subject of formula
a = 32 - 6d .....equation (iii)
Put equation (iii) into equation (ii)
140 = (32 - 6d) + 18d
140 = 32 - 6d + 18d
Collect like terms
140 - 32 = 12d
12d = 108
d = 108 / 12
d = 9
Put d = 9 in equation (i)
32 = a + 6(9)
32 = a + 54
a = 32 - 54
a = -22
When Sn = 511
Sn = a + (n - 1)d
Substitute and solve for n
511 = -22 + (n-1) × 9
511 = -22 + 9n - 9
511 = -31 + 9n
511 + 31 = 9n
542 = 9n
n = 542 / 9
n = 60.22
PLZ HELP. Will give brainliest if answered correctly with explanation.
Answer:
90 degrees
Step-by-step explanation:
given:
ABCD~EFGH
mB=mBCD=90
mBAD=128
find mFGH
this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.
Answer
Point b is (0,0) Point a is (3,-2) Im not doing the second part
Step-by-step explanation:
wich rational number could be graphed between 0 and 1
Answer:
1/4 is the answer
Step-by-step explanation:
I am not sure how to explain but the answer is 1/4
Answer:
1/4
Step-by-step explanation:
In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed
Answer:
4 socks.
Step-by-step explanation:
There are three different colors of socks in the drawer: black, gray and orange.
The worst possible scenario for making a pair would be getting a different color of sock with the first three picks (1 black, 1 gray, 1 orange). Since we now have one of each, the next sock drawn from the drawer will form a pair with one of our three socks. Therefore, the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed is 4.
2/7/10
Container X contained 1200 g of sand. Container Y contained L
rand. After an equal amount of sand was removed from each com
Lontainer y now hos 7 times as much sand as Container XHOW now
and was removed from each container? Give your answer in kilograma
Complete question:
Container x contained 1200g of sand. Container y contained 7.2kg of sand. After as equal amount of sand was removed from each container, Container Ynow has 7 times as much as sand as container x. How much sand was removed from each container?
Answer: the mass of sand removed from both containers is 0.2kg
Step-by-step explanation:
Given that:
Mass of sand in container X = 1200g = 1.2kg
Mass of and in container Y = 7.2kg
Equal amount of sand was removed from both.
Let the mass of sand removed from both containers = z
That is;
Container X = 1.2 - z
Container Y = 7.2 -z
Now container Y has become 7times the content in container X
Container Y = 7 * (container X)
7.2 -z = 7(1.2 - z)
7.2 - z = 8.4 -7z
-z + 7z = 8.4 - 7.2
6z = 1.2
z = 0.2
Therefore, the mass of sand removed from both containers is 0.2kg
solve the following equations 3m = 2(m - 3) its on acellus! pls help!!
Answer:
m = -6
Step-by-step explanation:
3m = 2(m - 3)
Distribute
3m = 2m - 6
Subtract 2m from each side
3m -2m = 2m-2m -6
m = -6
Answer:
[tex]\boxed{\red{m = - 6}}[/tex]
Step-by-step explanation:
[tex]3m = 2(m - 3) \\ 3m = 2m - 6 \\ 3m - 2m = - 6 \\ m = - 6[/tex]
please hellppp please hellllllp
Answer:
a. 170
b. −25
c. -25
d. 75√3 (Decimal: 129.903811)
(Algebra || is Soo hard!) Please someone help me:)
Answer:
B
Step-by-step explanation:
B is the correct answer
2+i/5= i=5 +=-
have a nice day
Answer:
[tex]\boxed{\sf B) \ 2-i}[/tex]
Step-by-step explanation:
[tex]\sf \frac{2+i}{5}[/tex]
Reciprocal the fraction.
Switch the denominator with the numerator.
[tex]\sf \frac{5}{2+i }[/tex]
Multiply the numerator and the denominator with the conjugate [tex]\sf 2-i[/tex].
[tex]\sf \frac{5(2-i)}{(2+i)(2-i)}[/tex]
[tex]\sf \frac{10-5i}{(2+i)(2-i)}[/tex]
Apply rule to solve for the denominator:
[tex]\sf (a+bi)(a-bi)=a^2 +b^2[/tex]
[tex]\sf a=2\\b=1[/tex]
[tex]\sf \frac{10-5i}{2^2 +1^2 }[/tex]
[tex]\sf \frac{10-5i}{4+1}[/tex]
[tex]\sf \frac{10-5i}{5}[/tex]
Simplify the fraction.
[tex]\sf \frac{10}{5}-\frac{5i}{5}[/tex]
[tex]\sf 2-i[/tex]
3√6+4√6 is equal to
Answer:
[tex]7\sqrt{6}[/tex]
Step-by-step explanation:
You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.
We can also check this.
[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35
[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8
[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15
7.35+9.8 = 17.15
Hope this helped!
Answer:
17.15
Step-by-step explanation:
[tex]3\sqrt{6}[/tex]
Square root of 6 is about 2.45
2.45 * 3 = 7.35
[tex]4\sqrt{6}[/tex],
Square root of 6 is about 2.45,
2.45*4 = 9.8
7.35 + 9.8 = 17.15
find the solutions of x and y.
Answer:
x = 15, y = 4
Step-by-step explanation:
By Basic proportionality theorem, we have:
x/ 5 = 18/6
x = (18*5)/6
x = 90/6
x = 15
Again By Basic proportionality theorem, we have:
12/y = 18/6
y = (12*6)/18
y = 72/18
y = 4
The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) forms a quadrilateral of type:
Answer:
A square.
Step-by-step explanation:
Use the distributive property to remove the parentheses -5(2x-3w-6)
Answer:
15w - 10x + 30.
Step-by-step explanation:
-5(2x - 3w - 6)
= (-5 * 2x) + (-5 * -3w) + (-5 * -6)
= -10x + 15w + 30
= 15w - 10x + 30.
Hope this helps!
Answer:
[tex] - 10x + 15w + 30[/tex]Step-by-step explanation:
[tex] - 5(2x - 3w - 6)[/tex]
Multiply each term in the parentheses by -5
[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]
Calculate the product
[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]
Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]
[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]
Calculate the product
[tex] - 10x + 15w - 5 \times ( - 6)[/tex]
Multiply the numbers
[tex] - 10x + 15w + 30[/tex]
Hope this helps..
Best regards!!
Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her
card and no late fees were charged how long will it take her debt to double?
Answer:
5 years
Step-by-step explanation:
Firstly, Let's use a function to find how much Jenny owes every year.
Using f(t)=3,000(1.18)^t
We can find the amount of money jenny owes every year.
Now let's try to find how many years it would take her to double her credit card debt.
If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.
I Shall Name Thee Brainliest! (:
What is -7Q + 6 + 5Q = 15 - 7 solve and check
3 (P+5) + P = 3(2+P) solve and check
2(A+4) + 6A = 2(2 + 3A) solve and check
Answer:
hello, friend(✿◡‿◡)
Step-by-step explanation:
-7Q + 6 + 5Q = 15 - 7
Q=-1
3 (P+5) + P = 3(2+P)
P=-3
2(A+4) + 6A = 2(2 + 3A)
A=-2
1285 students went on a field trip six buses were filled with the same number of students and seven other student travel in college how many students are in each bus
Answer:
213
Step-by-step explanation:
1285 students -7 students travel : 1278
1287 students / 6 buses= 1278/6=213
213 students
I need some help with this sorry guys
Answer:
35 graduates from university A had income below $20,000
Step-by-step explanation:
Directly from the data shown (see attached image) we see that 35 graduates from university A have income below $20,000
Rewrite in simplest radical form, thx :)
Answer:
The answer is
[tex] \sqrt[3]{ {x}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } [/tex]
Since they have the same base and are dividing we can use the rules of indices
That's
subtract the exponents
So we have
[tex] {x}^{ \frac{5}{6} - \frac{1}{6} } [/tex]
[tex] {x}^{ \frac{4}{6} } [/tex]
[tex] = {x}^{ \frac{2}{3} } [/tex]
Rewriting it in radical form
We have the final answer as
[tex] \sqrt[3]{ {x}^{2} } [/tex]
Hope this helps you
Please answer this question now
Answer:
397.7 m²
Step-by-step Explanation:
The are of ∆UVW can be found ones we know the measure of 1 angle that is in between known lengths of two sides. Then, we would apply the formula, ½*a*b*sin(θ)
Where, a and b, are the lengths having an included angle (θ), in between them.
To find area of ∆UVW, we need m < V, side lengths of UV and VW.
m < V = 113°
VW = 29 m
UV = ?
Step 1: find UV using the Law of sines
[tex] \frac{UV}{sin(W)} = \frac{VW}{sin(U)} [/tex]
W = 34° [180 - (113+33)]
U = 33°
VW = 29 m
UV = ?
[tex] \frac{UV}{sin(34)} = \frac{29}{sin(33)} [/tex]
Multiply both sides by sin(34)
[tex] \frac{UV*sin(34)}{sin(34)} = \frac{29*sin(34)}{sin(33)} [/tex]
[tex] UV = \frac{29*sin(34)}{sin(33)} [/tex]
[tex] UV = 29.8 m [/tex]
Step 2: find the area of the triangle
Area = ½*a*b*sin(θ)
a = 29.8 m
b = 29 m
θ = 113°
Area = ½*29.8*29*sin(113)
Area = 397.7 m² (nearest tenth)
One square corral at a stable has an area of 625 ft2. If one side of the corral is along a barn, how much of the barn’s wall is used for the edge of the corral? A 25 ft B 50 ft C 100 ft D 200 ft
Answer:
Option A 25 ft is the correct answer.
Step-by-step explanation:
Given that:
One square corral at a stable has an area 625 [tex]ft^2[/tex].
And one side corral is along a barn.
To find:
How much of a barn's wall is used for the edge of corral?
Solution:
First of all, kindly refer to the attached figure to have a better understanding of the given dimensions and situation.
Given that Corral is square shape with Area, A = 625 [tex]ft^2[/tex]
Formula for area of a square is given as:
[tex]A = Edge^2[/tex]
Putting the value of A as given to find the Edge:
[tex]625 = Edge^2\\\Rightarrow Edge^2 =25 \times 25\\\Rightarrow Edge = 25\ ft[/tex]
It is given that one side of Corral is along a barn.
So, barn's wall used for the edge of corral = 25 ft
Option A 25 ft is the correct answer.
Answer: A 25ft I did it on edge and got it correct and please do as brainlest and have a good day.
Consider the equations:
y=15x-45
y=12x+18
How many solutions do they have?
Answer:
1
Step-by-step explanation:
Both equations are linear, and they do not have an equivalent slope, therefore they MUST intercept each other once and only once.
I don't know why its correct. Help explain to me pls.
The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12
Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.
The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).
Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5
Answer: 6 - 5
Step-by-step explanation:
|z - 6| - |z - 5| ; z < 5
Since z < 5, then
|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 6) = -z + 6
|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 5) = -z + 5
Now subtract them without the absolute value signs:
-z + 6 - (-z + 5)
Distribute the negative sign:
-z + 6 + z - 5
-z + z = 0 which leaves:
6 - 5
Answer: 1
Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3
Now we can write our new equation: (3-6)-(3-5)
now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.
Knowing that both parentheses are negative results we can set up an equation using z instead of 3:
-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer
Please help me with this question!!!!!
Answer:
B. [tex]H(x)=-.008(x-82)^{2}+83[/tex]
Step-by-step explanation:
Well lets graph the following equation first,
H(x) = -.011(x - 82)^2 + 75
Then lets graph all the other equations.
Look at the image below↓
So A.
The purple line does not go farther or higher,
so A. is incorrect
B.
The black line goes higher and farther,
meaning it is correct.
C.
The red line goes farther but not higher.
So it is incorrect
D.
Again the blue line does not go farther of higher.
So its wrong.
Thus,
answer choice B. [tex]H(x)=-.008(x-82)^{2}+83[/tex] is correct.
Hope this helps :)
Practice writing and solving quadratic equations.
Assignment
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
O2 + x - 72 = 0
O2 + x + 72 = 0
x2 + 2x - 72 = 0
x2 + 2x + 72 = 0
Answer:
[tex]\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to use the distributive property which means that for a, b and c real numbers a(b+c)=ab+ac
So here we can write
[tex]x(x+1)=72\\<=> x*x+x*1=72\\<=> x^2 + x -72 = 0\\[/tex]
do not hesitate if you have any question
A pair of dice is rolled. What is the probability that the sum of the two dice will less than 4 given that the first die rolled is a 2?
what is x if x(x+3)(x+3)=0
Answer:
hello :
Step-by-step explanation:
x(x+3)(x+3)=0 means : x=0 or x+3=0 or x+3=0
x=0 or x=-3 or x=3
50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
HELP PLZZZ
If f(x)=3x+2, what is f(5)?
Answer:
[tex]f(5)=17[/tex]
Step-by-step explanation:
[tex]f(x)=3x+2[/tex]
[tex]f(5)=3(5)+2[/tex]
[tex]f(5)=15+2[/tex]
[tex]f(5)=17[/tex]
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
f(5) = 3(5)+ 2
f(5) = 15 + 2
f(5) = 17
Analyzing Data The snowfall data for Resort A are close to symmetric when they are shown in a box plot. The snowfall data for Resort B are not symmetric when they are shown in a box plot. Why is a box plot a good method to compare the data?
Answer:
Hey mate!
Here is your ans!
A box plot displays the accuracy and dispays the range and distribution of the data along the number line which majes it easier to study and get the accurate answers.
Hope it helped.. If yes mark me BRAINLIEST and follow me too!
Answer:
When comparing two sets of data, a box plot can show whether either set of data is symmetric. If the data are symmetric, then the mean equals the median. If the data are not symmetric, then the median will be a better measure of center than the mean.
Step-by-step explanation:
Sample response on edge :>
the equation y=4.65x 1.37 fits the graph of stock XYZ over the past month with an r=value of 0.9894. How much do you think XYZ will be worth at x=19 days?
Answer: $1841.38 .
Step-by-step explanation:
Given, the equation [tex]y=4.65(1.37)^x[/tex] fits the graph of stock XYZ over the past month with an r=value of 0.9894.
At x= 19,
[tex]y=4.65(1.37)^{19}\\\\\Rightarrow\ y=4.65(395.9960)\\\\\Rightarrow\ y=1841.38[/tex]
Hence, At x= 19 days , the worth of XYZ will be $1841.38 .