Answer:
[tex]f(5)=2.048*10^{-7}[/tex]
Step-by-step explanation:
We have that [tex]f(x)=2x^{-10}[/tex], we want to find [tex]f(5)[/tex].
We can rewrite this function with positive index to get:
[tex]f(x)=\frac{2}{x^{10}}[/tex]
We need to substitute [tex]x=5[/tex] into the given function to get:
[tex]f(5)=\frac{2}{5^{10}}[/tex]
This implies that:
[tex]f(5)=\frac{2}{9765625}[/tex]
In scientific notation:
[tex]f(5)=2.048*10^{-7}[/tex]
ILL GIVE BRAINLY ON WHOEVER GETS IT RIGHT
On a coordinate plane, line segment A B goes from (negative 4, 3) to (negative 1, 1), segment D C goes from (1, 1) to (4, 3), segment F E goes from (3, 1) to (6, 3), segment H G goes from (negative 4, negative 3) to (negative 1, negative 1), segment I J goes from (negative 4, negative 5) to (negative 1, negative 3).
Which segment is a reflection of segment AB over the line x = 1?
Line segment C D
Line segment E F
Line segment G H
Line segment I J
Answer: b is right
Step-by-step explanation:
5. In Jaden's town, the middle school has 443 more students than
the high school. If the middle school has 817 students, how
many students are at the high school?
y-2x=4
2x+3y=28
solve for x and y
Answer:
x=2, y=8. (2, 8).
Step-by-step explanation:
y-2x=4
2x+3y=28
----------------
y=2x+4
2x+3(2x+4)=28
2x+6x+12=28
8x+12=28
8x=28-12
8x=16
x=16/8
x=2
y-2(2)=4
y-4=4
y=4+4
y=8
Function S
x y
–2 –9
0 1
4 21
6 31
The graph models function R. The table of values models function S. Which statement is true about these functions?
A) The two functions have the same rate of change.
B) Both functions do not have a constant rate of change.
C) Function R has a greater rate of change than Function S.
D) Function S has a greater rate of change than Function R.
The answer is D, I know this because I just did the USATESTPREP
Step-by-step explanation:
A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day. Another day she sold 16 ribeye steak dinners and 6 grilled salmon dinners, totaling $584.46. How much did each type of dinner cost?
The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20
Solution:
Let "a" be the cost of each ribeye steak dinners
Let "b" be the cost of each grilled salmon dinners
A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day
Thus we frame a equation as:
11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63
[tex]11 \times a + 12 \times b = 560.63[/tex]
11a + 12b = 560.63 -------- eqn 1
Another day she sold 16 ribeye steak dinners and 6 grilled salmon dinners, totaling $584.46
Thus we frame a equation as:
16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46
[tex]16 \times a + 6 \times b = 584.46[/tex]
16a + 6b = 584.46 ------------ eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 2 by 2
32a + 12b = 1168.92 ------- eqn 3
Subtract eqn 1 from eqn 3
32a + 12b = 1168.92
11a + 12b = 560.63
( - ) ----------------
21a = 1168.92 - 560.63
21a = 608.29
Divide both sides by 21
[tex]a = 28.96 \approx 29[/tex]
Substitute a = 29 in eqn 1
11(29) + 12b = 560.63
319 + 12b = 560.63
12b = 560.63 - 319
12b = 214.63
Divide both sides by 12
[tex]b = 20.13 \approx 20[/tex]
Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20
Simplify the expression. 7y+3x+3-2y+6
What is the coefficient of y
What is the constant
Answer:
the coefficient of y is 5 the constant is 9
Step-by-step explanation:
7y minus 2y is 5y. so the coefficient is 5
3+6 is 9 the contant is 9
What it’s 3 to the power of 4 equal
Answer:
81
Step-by-step explanation:
3*3*3*3= 81
If triangle RAT was rotated 270° clockwise about the origin to create triangle R’S’T, what would be the length of segment S’T’?
Yo sup??
Actually the lenght of the segment won't change cause rotation about origin doesn't affect the lenght of the triangle.
Therefore
ST=S'T'=8 units
Hope this helps.
Solve for m:
2/5=2m+11/8
Enter your answer as a fraction, like this: 42/53
Answer:
[tex]m=-\frac{39}{80}[/tex]
Step-by-step explanation:
we have
[tex]\frac{2}{5}=2m+\frac{11}{8}[/tex]
Solve for m
That means ----> Isolate the variable m
Multiply both sides by 40 to remove the fractions
Note: 40=(8)(5)
[tex](40)\frac{2}{5}=(40)2m+(40)\frac{11}{8}[/tex]
[tex]16=80m+55[/tex]
subtract 55 both sides
[tex]16-55=80m\\-39=80m[/tex]
Divided by 80 both sides
[tex]m=-\frac{39}{80}[/tex]
write a rule about the angle measures of an isoceles right triangle
Answer:
In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1. ... Therefore each of those acute angles is 45°.
Step-by-step explanation:
ms rowan is selling tickets and she already sold 15 and her goal is to sell 100. if she sells 5 tickets per day how many days until she will get to 100
can you do this as an equation pls?
Answer:
100=5x+15
x= # of days
Step-by-step explanation:
100 is the total. Then 5 tickets every day whivh would be 5x. And she already sold 15 so u add 5x and 15. (x wold be the amount of days)
Write an equation in point-slope form for the line that has a slope of 56 and contains the point (−8,−4).
Step-by-step explanation:
Given: slope of line m = 56 & line contain point is (−8,−4).
[tex] \therefore (x_1, \:\: y_1) = (-8, \:\: - 4)[/tex]
Equation of line in slope point form is given as:
[tex]y - y_1 =m(x - x_1) \\ \\ \therefore \: y - ( - 4) = 56 \{x - ( - 8) \} \\ \\ \blue{ \boxed{\therefore \: y + 4= 56 (x + 8) }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: point \: form)\\ \\ \therefore \: y + 4= 56x + 56 \times 8 \\ \\ \therefore \: y + 4= 56x + 448 \\ \\ \therefore \: y = 56x + 448 - 4 \\ \\ \huge \red{ \boxed{\therefore \: y = 56x + 444 }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: intercept \: form)[/tex]
Answer:
y+4 = 56(x+8)
Step-by-step explanation:
y-y1 = m(x-x1)
y-(-4) = 56(x-(-8))
y+4 = 56(x+8)
If needed, simply it further
y+4 = 56x+448
y = 56x+444
the function h=14t²+56t+60 represents the height of an object that is launched directly up into the air, where h represents the height in feet of the object and t represents time in seconds
What is the maximum height in feet of the object?
How long will it take the object to reach its maximum height?
Answer:
It will take the object 2 seconds to reach the maximum height.
Step-by-step explanation:
The original equation is [tex]h=-14t^2+56t+60[/tex].
The object reaches the maximum height when derivative of [tex]h[/tex] is zero
[tex]\frac{dh}{dt}=0[/tex]
So let us take evaluate the derivative of [tex]h[/tex]
[tex]\frac{dh}{dt} =\frac{d}{dt} (-14t^2+56t+60)=\frac{d}{dt} (-14t^2)+\frac{d}{dt}(56t)+\frac{d}{dt} (60)[/tex]
[tex]=-28t+56[/tex]
this must be equal to 0:
[tex]-28t+56=0[/tex]
[tex]t=\frac{-56}{-28}[/tex]
[tex]\boxed{ t=2}[/tex]
It will take the object 2 seconds to reach the maximum height.
An annual membership at a swim club cost $30. Members must also pay $5 monthly locker fee, and $2 fee each time they use the facility. Which of the following can be used to find the total annual cost (A) for a membership? (hint: there are 12 months in a year)
Answer:
30+(5X12)+2x=90X2x
Step-by-step explanation:
5x12= 60
60+30=90
90x2x
We don't know how many times they use the facility so it stays 2x and you have to times that by 90 since that's the total cost minus the 2x.
81 is 18% of what number?
Answer:
n = 450
Step-by-step explanation:
18%·n = 81
18·n/100 = 81
18n = 8100
n = 8100 : 18
n = 450
Answer:
81 is 18% of 450.
Step-by-step explanation:
81 ÷ 18 = 4.5
4.5 x 100 = 450
450 - 18% = 369
450 - 369 = 81
So, 18% of 450 is 81 and 81 is 18% of 450.
find the x and y intercepts of the line
y=−9x−14
Answer:
X Intercept: (-14/9,0) Y intercept: (0,-14)
Step-by-step explanation:
To find the X intercept, plug in y=0... so it would look like this, -9x-14=0, then solve. -9x=14...x=-14/9
To find the Y intercept, plug in x=0...so it would look like this, -9(0)-14=y, then solve. 0-14=y...-14=y
Answer:
The intersection with the x-axis is at B(-14/9,0), and with the y-axis at A(0,-14).
x=0, y=-9x-14, y=-9*0-14, y=-14 A(0,-14)
y=0, y=-9x-14, 0=-9x-14, 0+14=-9x
-9x=14, x=-14/9 B(-14/9,0)
2 is underlined 12.917 what is the place value for 2
Answer: 2 is the nearest whole number.
Step-by-step explanation:
Find the sum 5/10 + 3/100 =
Answer:
0.53
Step-by-step explanation:
5/10 + 3/100=0.53
Answer:
0.53
Step-by-step explanation:
5/10 + 3/100
by Elysium
(50 +3)/100
53/100
0.53
RSM HW HELP!!! PLEASE HELP ME ASAP!!!! I WILL GIVE BRAINLIEST IF YOU SOLVE THEM ALL CORRECTLY!!! THANKS!
Find the numerical values of the following expressions:
a) | 3 | a | +5 | b | if a=−2; b=−1
b) |2x−3y| if x=0.5; y=−0.7
c)| 4 | a | +8−a | if a=−2
d) |−3 | x | +2x−1 | if x=−5
b)
|2x−3y| if x=0.5; y=−0.7
Substitute: |2(0.5)-3(-0.7)|
Simplify: |1+2.1|
Simplify: |3.1|
Since it is an absolute value, it will always be positive: 3.1
d)
|−3 |x| +2x−1| if x=−5
Substitute: |-3(|-5|)+2(-5)-1|
Absolute value is positive: |-3(5)+5(-5)-1|
Simplify: |-15-25-1|
Simplify: |-41|
Absolute value always positive: 41
Answer for the first question:
[tex]a)3a+5b~,when~a=-2;b=-1[/tex]
[tex]=(3)(-2)+(5)(-1)[/tex]
[tex]=-11[/tex]
Answer for the second question:
[tex]b)2x-3y~,when~x=0.5;y=-0.7[/tex]
[tex]=(2)(0.5)-(3)(-0.7)[/tex]
[tex]=3.1[/tex]
Answer for the third question:
[tex]c)4a+8-a,~when~a=-2[/tex]
[tex]=(4)(-2)+8-(-2)[/tex]
[tex]=2[/tex]
Answer for the fourth question:
[tex]d)-3x+2x-1,~when~x=-5[/tex]
[tex]=(-3)(-5)+(2)(-5)-1[/tex]
[tex]=4[/tex]
How fast can a car going that traveled 330 and 1/3miles in 5 and 1/4 hour
Answer:
62.9mi/hr
Step-by-step explanation:
How far the car is moving is the speed.
We need to calculate the speed given that, the distance traveled is [tex]330\frac{1}{3} \:miles[/tex]
The time given is [tex]5\frac{1}{4}[/tex] hours.
Recall that: [tex]Speed=\frac{Distance}{Time}[/tex]
We plug in the values to get:
[tex]Speed =\frac{330\frac{1}{3} }{5\frac{1}{4} }[/tex]
We simplify to get:
[tex]Speed=\frac{3964}{63} =62.\overline{920634}[/tex]
Find the values for each dot plot.
21
22
23
24
25
26
27
28
Range:
Median:
Mode:
Using the digits 0 to 9, at most one time each, fill in the boxes to create a square, with one of the vertices at (2,3). Hint: 2 and 3 are already used (so they cannot be used again); not all numbers will be used.
Answer:
A(2,3), B(6,4), C(5,8), D(1,7)
Step-by-step explanation:
We were given the initial vertex at (2,3).
We want to create a square using the digits 0 to 9, at most one time each.
Keeping in mind the following properties of a square:
All sides are congruent
All angles are right angles
Hence the other three vertices are: B(6,4), C(5,8), D(1,7)
See attachment.
The question is about forming a square using unique digits from 0 to 9 to form coordinates with one vertex at (2,3). The coordinates of the square are (2,3), (4,3), (4,5) and (2,5) using digits 0,2,3,4 and 5.
Explanation:This type of problem is a geometric shape puzzle that involves basic principles of coordinate geometry and the usage of digits 0 to 9. Let's consider the point (2,3) as the bottom-left vertex of the square.
We know that a square has all sides equal, so we can choose point (4,3) as the bottom-right vertex (2+2=4), then (4,5) as the top-right vertex (3+2=5), and finally (2,5) as the top-left vertex.
We used the numbers 0,2,3,4,5 from the set of digits from 0 to 9.
Learn more about Square Coordinates here:https://brainly.com/question/31981318
#SPJ3
(5x - y) + (2x + 6y)
What’s the answer
Answer:
7x+5y
Step-by-step explanation:
Combine like terms:
5x+2x+(-y)+6y
7x+(6y-y)
7x+5y
Hope this helped!
Answer: 7x+5y
Step-by-step explanation:
(5x-y)+(2x+6y)
5x−y+2x+6y
(5x+2x)+(−y+6y)
7x+5y
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
What is the prime factorization for 356
The prime factorization of 356 is found by dividing it by the smallest prime numbers step by step, leading to the solution of 2×2×89.
Explanation:The prime factorization of 356 involves breaking down the number into its prime factors, which are numbers that can only be divided by 1 and themselves. To start, we look for the smallest prime number that can divide 356. We find that 2 is the smallest prime factor of 356 (since 356 is an even number).
Dividing 356 by 2, we get 178. Continuing this process, 178 is also even, so we divide by 2 again to get 89. Upon reaching 89, we find that it is a prime number because it cannot be divided evenly by any number other than 1 and itself.
Therefore, the prime factorization of 356 is 2×2×89. This means that 356 can be expressed as a product of these prime numbers.
I need help with this I don't understand this
Answer:
45.8
Step-by-step explanation:
We need to find the surface area for this entire figure!
We can see that this is a pyramid here - we must find the area of the 3 triangles and the base triangle at the bottom.
The 3 triangles building up the pyramid are all equal to each other.
To find the area of a triangle, use [tex]Area = base*height/2[/tex]
[tex]Area=3(\frac{5*7}{3} )+(\frac{5*4.3}{2})\\Area=35+10.75=45.75[/tex]
Round to the nearest tenth: 45.75 -> 45.8
Please help me!
Simplify the expression (x+3)2−4(x+3).
Answer:
-6-2x
Step-by-step explanation:
Expand:
(x+3)2 = 2x+6
-4(x+3) = -4x-12
2x+6-4x-12 = -6-2x
please answer this answer correctly if u answer this question correctly then i will mark u as brain list.
Answer:
12 is your answer.I did that and i got it right.
Step-by-step explanation:
Answer: 60
Step-by-step explanation:
since there are 3 different colour hats
4 different colour scarves and
5 different colour jacket
1 hat can be selected in 3 ways
1 scarf can be selected in 4 ways
1 jacket can be selected in 5 ways
Therefore , Tina will have 3 x 4 x 5 different combinations.
This means she will have 60 different combinations
Fina wants to use substitution to solve the system of equations. explain what she needs to do before using substitution. then solve the system of equations:
2x - y = 3
-1.5x + 3y = -18
To solve the system of equations using substitution, Fina needs to isolate one variable and substitute it into the other equation. The solution to the system of equations is x = -3 and y = -9.
Explanation:To solve this system of equations using substitution, Fina needs to isolate one variable in one of the equations and then substitute that expression into the other equation.
Here are the steps:
Choose one equation and isolate one variable. Let's isolate x in the first equation: 2x - y = 3. Add y to both sides: 2x = y + 3 and divide by 2: x = (y + 3)/2.
Substitute the expression for x in the other equation. Replace x in the second equation with (y + 3)/2: -1.5((y + 3)/2) + 3y = -18.
Solve the equation for y. Simplify the equation: -1.5y - 4.5 + 3y = -18. Combine like terms: 1.5y - 4.5 = -18. Add 4.5 to both sides: 1.5y = -13.5. Divide by 1.5: y = -9.
Substitute the value of y back into the expression for x to find its value. Replace y in x = (y + 3)/2 with -9: x = (-9 + 3)/2 = -6/2 = -3.
Therefore, the solution to the system of equations is x = -3 and y = -9.
A garden table and a bench cost $1049 combined. The garden table cost $99 more than the bench. What is the cost of the bench?
Answer:
475
Step-by-step explanation:
To find the cost of the bench, subtract 99 from 1049, then divide by 2. Add 99 to the answer(475) to get the cost of the garden table(574).
What is the solution to the following system of equations?
y = x^2+ 10x + 11
y = x^2+ x-7
O(-2,-5)
O (2,-5)
• (-2,5)
O (2,5)
Answer:
(—2,—5)
SOLUTION:Step-by-step explanation:
y = x² + 10x + 11 ..........(i)y = x² + x — 7 .................(ii)x² +10x + 11 = x² + x —7x² cancels ///
10x + 11 = x —710x —x = —7—11
9x = —18 // divide through by 9//
x = —2 .
y = x² + 10x +11y = (—2)² + 10(—2) + 11 =>y = 4 —20 + 11
y = —5