Answer: Its negetive. The answer is -52d^2
Hope this helped you!
Answer:
negativeStep-by-step explanation:
[tex]-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}[/tex]
Since −52 is negative and d² is always positive for any number d
Then ,their product −52 d² is negative .
find the range of the data.
133,117,152,127,168,146,174
133, 117, 152, 127, 168, 146, 174.
to find:range.
solution:first arrange the numbers in order, which gives you:
= 117, 127, 133, 146, 152, 168, 174
then subtract the lowest number from the highest, which gives you:
174 - 117
= 57
range= 57.
The sum of three numbers is 10. The sum of twice the first number, 4 times the second number, and 5 times the third number is 33. The difference between 6 times the first number and the second number is 28. Find the three numbers.
Answer:
5 2 3Step-by-step explanation:
The given relations allow us to write three equations in the three unknown values. We can let x, y, z represent the three numbers, in order.
__
x +y +z = 10 . . . . . . . the sum of the three numbers is 10
2x +4y +5z = 33 . . . . . designated sum is 33
6x -y = 28 . . . . . . . . 6 times the first is 28 more than the second
__
There are many ways to solve a system of equations like this. Perhaps one of the easiest is to enter the equations as an augmented matrix in your calculator, and let it do the work. (Some calculators will solve the equations directly.)
The three numbers are 5, 2, and 3.
_____
Additional comment
The third equation lets you write an expression for y in terms of x:
y = 6x -28
Substituting this into the first two equations, we get ...
x +(6x -28) +z = 10 ⇒ 7x +z = 38
2x +4(6x -28) +5z = 33 ⇒ 26x +5z = 145
Subtracting the second from 5 times the first of these equations gives ...
5(7x +z) -(26x +5z) = 5(38) -(145)
9x = 45 . . . . . the y-variable is eliminated
x = 5
Use equations from above to find z and y.
z = 38 -7x = 3
y = 6(5) -28 = 2
6. If 2 cards are drawn from a standard deck with replacement, find the probability of drawing a face card and an even number.
Answer:
15/169
Step-by-step explanation:
There are 52 cards in a standard deck. Of those 52 cards, 12 are face cards and 20 are even numbered. To find the probabily in this situation, we multiply 12/52 by 20/52. This gives us 240/2704. This can be reduced to 15/169.
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
There is not crest given so use distance between troughs
Period (T):-
Distance between two troughs|3-(-3)|6Frequency:-
[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]
[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]
How many ways can you place the letters in the word "PASTURE" into groups of four letters without repetition?
Using the permutation formula, it is found that there are 840 ways to place the letters.
The order in which the letters are placed is important, as PAST is a different arrangement that PTAS, for example, hence the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 letters are taken from a set of 7, hence:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
There are 840 ways to place the letters.
More can be learned about the permutation formula at https://brainly.com/question/25925367
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Answer:35
Step-by-step explanation:
! PLS HELP ! In a raffle, one thousand tickets are sold. There
is a grand prize of $4000, a second prize of
$500, and a third prize of $100. What ticket
price would make this game fair?
Answer:
$4.60
Step-by-step explanation:
A spherical ball has a radius of 2 ft what is the volume in cubic feet of the ball
The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]
r --> length of radius --> 2ft
Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]
The volume is 33.51 cubic feet
Hope that helps!
Please help me solve these problems
From the dots the parabola’s are the same size just transitioned to different locations.
blue = y = x^2 + 3
Green = y = (x-4)^2
Orange = y = x^2 - 3
Purple = y = (x+4)^2
Cos2A + cosec4A = cot A-cot 4A
Answer:
no solution
Step-by-step explanation:
A graphing calculator shows the left-side expression is never equal to the right-side expression for any real-number value of A.
The equation is not an identity, and has no solution.
__
Additional comment
By subtracting the right-side expression from the left-side expression, we get an equation of the form f(A)=0. Any solutions will be x-intercepts of the graph. The graph for this equation never comes close to crossing the x-axis.
Hellp me please DDDDDDDDDDD:
Answer:
238 mm
Step-by-step explanation:
11x5 = 55
11x4=44
11x5=55
11x4=44
4x5=20
4x5=20
______(Add all up)
= 238 mm
Hope this helps :)
Statistics 1
You are buying uniforms for young male military recruits. You know the mean chest size and the standard deviation of the chest size. About what proportion of the chest sizes of the recruits would you expect to be within one standard deviation of the mean chest size? Choose the best answer below
A. 50%, if the mean chest size is Normally distributed
B. 2/3
C. 50%, if the chest sizes are Normally distributed
D. 68%, if the chest sizes are Normally distributed
E. 95%
100 points! asap! Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answer:
A) A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)
Step-by-step explanation:
Given equations:
[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]
[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]
Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:
[tex]\implies 2x+2=-2x+14[/tex]
[tex]\implies 4x=12[/tex]
[tex]\implies x=3[/tex]
Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:
[tex]\implies y=2(3)+2=8[/tex]
Therefore, the solution to the system is (3, 8).
This is the point of intersection of the two lines.
The distance between 2 cities is 7200 miles. How long will it take a plan that flies 600 miles/h to travel between the 2 cities?
A pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces. How many different recital programs are possible?
The different recital programs that are possible is 80,730 ways
Combination and permutationPermutation has to do with arrangement while combination has to do with the selection.
According to the question, a pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces, this shows that he can select the 5 pieces in any form.
The number of ways this can be done is given as:
[tex]27C_5=\frac{27!}{(27-5)!5!}\\ 27C_5=80,730[/tex]
Hence the different recital programs that are possible is 80,730 ways
Learn more on combination here: https://brainly.com/question/11732255
Help plssssssssssssssssssss I NEED THIS TODAY!! PLS
Answer:
The first 1 is the answer (a)
Step-by-step explanation:
Find the hourly wage for a person with an income of $60376, who works 57 hours a week for 44 weeks.
Answer:
$24.07
Step-by-step explanation:
57×44=2508 hrs
60376÷2508=$24.07 per hr
IM CONFUSED CAN SOMEBODY HELP ME SOLVE THE EQUATION
Answer:
y = - ½(x - 2)² + 3
Step-by-step explanation:
Guys please help me!!!
Answer:
p = 2
q = -1
k = -1
Step-by-step explanation:
Cosine functions always start above or below 0. So, the one that starts at (0, 1) is f(x) = (p)cosx + q. Sine functions always start at 0. So, the one that starts at (0, 0) is g(x) = (k)sinx.
Using the help image attached, we know that:
p and k = amplitude (top to midline)
Negative when cosx/sinx starts at the bottomq = vertical shift (movement of midline)
For f(x) = (p)cosx + q:
p = 2
q = -1
For g(x) = (k)sinx:
k = -1
Hope this helps!
[tex]$a+a r+a r^{2}+\ldots \infty=15$$a^{2}+(a r)^{2}+\left(a r^{2}\right)^{2}+\ldots \infty=150$. Find $a r^{3}+a r^{4}+a r^{6}+\ldots \infty$[/tex]
Options:
[tex](a) $\frac{1}{2}$\\(b) $\frac{2}{5}$[/tex]
Let
[tex]S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n[/tex]
where we assume |r| < 1. Multiplying on both sides by r gives
[tex]r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}[/tex]
and subtracting this from [tex]S_n[/tex] gives
[tex](1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}[/tex]
As n → ∞, the exponential term will converge to 0, and the partial sums [tex]S_n[/tex] will converge to
[tex]\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}[/tex]
Now, we're given
[tex]a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a[/tex]
[tex]a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}[/tex]
We must have |r| < 1 since both sums converge, so
[tex]\dfrac{15}a = \dfrac1{1-r}[/tex]
[tex]\dfrac{150}{a^2} = \dfrac1{1-r^2}[/tex]
Solving for r by substitution, we have
[tex]\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)[/tex]
[tex]\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}[/tex]
Recalling the difference of squares identity, we have
[tex]\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}[/tex]
We've already confirmed r ≠ 1, so we can simplify this to
[tex]\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15[/tex]
It follows that
[tex]\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12[/tex]
and so the sum we want is
[tex]ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}[/tex]
which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?
What is the name of the Platonic solid shown below?
A. Hexahedron
B. Dodecahedron
C. Tetrahedron
D. Octahedron
Answer: c
Step-by-step explanation: The cube represents the earth, the octahedron represents the air, the tetrahedron represents the fire, the icosahedron represents the water, and the dodecahedron represents the universe
The name of the platonic solid shown is hexahedron.
What are different types of solids?Tetrahedron - A tetrahedron, also referred to as a triangle pyramid, is a polyhedron with four triangular faces, six straight edges, and four vertex corners in geometry.
Hexahedron - Any polyhedron with six faces is called a hexahedron.
Octahedron - An octahedron is a polyhedron with eight faces in geometry.
Dodecahedron - In geometry, a dodecahedron or duo decahedron is any polyhedron with twelve flat faces.
The figure given in the question has clearly six flat faces and hence according to the definitions it is a hexahedron.
Learn more about shapes on:
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The complete question is attached.
When fully charged, Jaylin's
computer works for 20 hours.
She uses her computer for about
1.5 hours each day. A low battery
warning comes on when there is
hours of use or less remaining
Answer:
The battery seems to be charging at a rate of 1 percentage point per minute. So the battery should be fully charged at 10:11 AM.
Step-by-step explanation:
A plant nursery receives shipments of soil in containers as shown below
( a picture of a cube that has 3 numbers - The heigh = 1 1/4 the base =2 . The width= 1 1/2
Part a- what is the volume of the soil in each container in cubic yards
(I put my answer as 3 3/4 which is right I think )
Part b - if a cubic yard of soil weighs 2000 pounds of soil does each container hold?
***I need help with part b pls
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the three dimensional shape is:
Volume = length * width * height = 1 1/4 * 1 1/2 * 2 = 3.75 yd³
1 yd³ = 2000 pounds
3.75 yd³ = 2000 pounds * 3.75 yd³ = 7500 pounds
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
Find out more on volume at: https://brainly.com/question/12410983
5. The perimeter of a rectangular poultry farm is 38m. If 3 meters are subtracted from its length and 2 meters from its breadth, the length will be two times the breadth. Find the area of the farm?
By solving a system of equations we will find the dimensions of the rectangle, and with these, we will see that the area is equal to 82.31 m^2
How to find the area of the farm?For a rectangle of length L and width W, the perimeter is:
P = 2*L + 2*W
In this case, we know that the perimeter is equal to 38m, then:
38m = 2*L + 2*W
We also know that if we subtract 3 meters from the length and 2 meters from the breadth, the length will e 2 times the breadth.
This is written as:
(L - 3m) = 2*(W - 2m)
Then we have a system of equations:
38m = 2*L + 2*W
(L - 3m) = 2*(W - 2m)
To solve this, we isolate one of the variables in one of the equations, I will isolate L on the second equation:
L = 2*(W - 2m) + 3m
Replacing that on the other equation we get:
38m = 2*(2*(W - 2m) + 3m) + 2*W
Now we can solve this for W.
38m = 4*(W - 2m) + 6m + 2*W
38m = 4*W - 2m + 2*W
38m + 2m = 6*W
40m = 6*W
40m/6 = W = 6.67m
Then the length is:
L = 2*( 6.67m - 2m) + 3m = 12.34 m
So the area of the rectangle is:
A = L*W = 12.34m*6.67m = 82.31 m^2
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Please help with this guys please I’d appreciate it
Answer:
annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52Step-by-step explanation:
The amount of an investment P compounded n times per year at annual rate r for t years is ...
A = P(1 +r/n)^(nt)
This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.
__
Continuously compounded interest results in an account balance computed using the formula ...
A = Pe^(rt) . . . . where the variables have the same definitions as above.
For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...
A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars
A regular octagon with side length = 5.3 meters. What is the total area of the shape? Round to two
decimal places at the end of your calculation.
Answer:
97.31 [tex]m^2[/tex]
Step-by-step explanation:
The area of the octagon is:
[tex]\frac{8 * 5.3 * 2.65\sqrt{3} }{2}[/tex] ~97.31 m^2
help pplease i need help
Answer:
15/2 min/m
Step-by-step explanation:
Minuters per meter = min/m
4.5 min/(3/5) m
4.5 x 5/3 = 7.5
7.5 = 15/2
Hope this helps!
What is the surface area of this prism?
Answer:
Step-by-step explanation:
front side: 6x3 = 18
back : 6x3 = 18
right:6x2 = 12
left:6x2 = 12
top: 3x2 =6
bottom: 3x2 =6
18 + 18 + 12 + 12 + 6 + 6
= 72
What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3
Answer:
-27.3 is the ans without decimal its -27-1/3
Answer:
-49 and 1/3
Step-by-step explanation:
− (-4 x -6) − (10 + 15) − 1/3
− (24) − (25) − 1/3
− 24 − 25 − 1/3
−49 − 1/3
-49 and 1/3
BRAINLIEST please if this helped!If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?
[Give the answer as a fraction in simplest form.]
Answer:
The probability is 1/9
Step-by-step explanation:
1 - 8/9 = 1/9
Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?
Answer:
12ft trim
Step-by-step explanation:
assuming that she wants to use the same size on each side (3ft) of the window, we know that the window is a square
and a square has 4 sides
3 + 3 + 3 + 3 = 12ft
She needs 12 ft trim
