Answer:
Sara has $144 at the beginning of the month.
Step-by-step explanation:
At the beginning of the month, x = 0 because no days have passed since the beginning of the month. When x = 0, g(0) = -4.5(0) + 144 = 144, therefore, we know that Sara has $144 on her card at the beginning of the month.
A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit vector
Answer: ( -0.731, 0.682)
Step-by-step explanation:
The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.
Knowing the angle, is really simple to do it.
First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R*cos(A)
y = R*sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
x = 1*cos(137°) = -0.731
y = 1*sin(137°) = 0.682
Then the unit vector is: ( -0.731, 0.682)
The unit vector is ( -0.731, 0.682)
The calculation is as follows:
[tex]x = R\times cos(A)\\\\y = R\times sin(A)[/tex]
And the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
so,
[tex]x = 1\times cos(137) = -0.731y = 1\times sin(137) = 0.682[/tex]
Then the unit vector is: ( -0.731, 0.682)
learn more: https://brainly.com/question/20492533?referrer=searchResults
Please help me! i need to do this by Friday
Answer:
Step-by-step explanation:
x+118 degrees =180 degrees
x +118 degrees-118degrees =180 degrees - 118 degrees
x =62 degrees
Simplify. Show your work 9x5+4=
Answer:
49 or 7^2
Step-by-step explanation:
9 x 5 + 4
=> 45 + 4
=> 49 or 7^2
Answer: 49
Step-by-step explanation: Multiply 9 and 5. Then add 4. Use PEMDAS.
9 × 5 = 45
45 + 4 = 49
If a = 5 b = 3 and c = 2
2ab =
Answer:
30
2ab=2*5*3
30
hope it helps
Answer:
30
The equation re-written would be
2 · 5 · 2 = 30
Let a function f (x) = x² + 1
Find f (4):
Answer:17
Step-by-step explanation:
Plug in 4 in the place of x and then add 1
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
F(x)= x² +1
[tex] f(4) = 4 {}^{2} + 1 [/tex]
[tex] f(4)= 16+1 [/tex]
[tex]\boxed{\color{gold}{f(4) = 17}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]
what is forty nine eight hundred and one ten thousands in a decimal
Answer:
forty nine eight hundred in a decimal
= 49800.0
one ten thousands in a decimal
= 10000.00
Step-by-step explanation:
forty nine eight hundred and one ten thousands in a decimal
First of all.
Let's take forty nine eight hundred
Converting it to decimal
= 49800.0
forty nine eight hundred= 49800.0
For the second one
one ten thousands in a decimal
Converting it to decimal
= 10000.00
one ten thousands in a decimal
= 10000.00 in decimal
Question: -2 - (-4)
Answer:
2Step-by-step explanation:
Follow PEDMAS
[tex]-2 - (-4)[/tex]
Follow rule : -(-a)= + a
[tex] - 2 + 4 \\ = 2[/tex]
Answer:2
Step-by-step explanation:
When two lines crosses, it is found that the angle opposite each other are thesame sizes. They are known as what
Answer:
vertical angles
Step-by-step explanation:
Opposite angles that are congruent are known as vertical angles.
Part 1: Use the transformations to prove congruency
Answer:
See Explanation
Step-by-step explanation:
[tex] \overline{CB} ||\overline {ED}... (GIVEN) \\
\& BD\:\&\: CE \: are \: transversals\\
\angle CBF\cong \angle EDF.. (alternate \: \angle 's) \\
\overline{CB} \cong \overline {ED}..... (GIVEN) \\
\angle BCF \cong \angle FED.. (alternate \: \angle 's) \\
\therefore \triangle CBF \cong \triangle EDF.. (By \: ASA\: Postulate) [/tex]
Answer: see proof below
Step-by-step explanation:
Statement Reason
1. CB || ED 1. Given
2. ∠E ≅ ∠C 2. Alternate Interior Angle Postulate
3. ∠D ≅ ∠B 3. Alternate Interior Angle Postulate
4. CB ≅ ED 4. Given
5. ΔCBF ≅ ΔEDF 5. ASA Congruency Theorem
15. (01.01)
What is the value of the radius of the following circle with an area of 154 cm2? (1 point)
Area
154 cm^2
*4.9 cm
*7.0 cm
*25 cm
*68 cm
Answer:
The answer is option BStep-by-step explanation:
Area of a circle = πr²
where
r is the radius of the circle
From the question
Area = 154cm²
To find the radius substitute this value into the above formula and solve for the radius
That's
154 = πr²
Divide both sides by π
We have
[tex] {r}^{2} = \frac{154}{\pi} [/tex]
Find the square root of both sides
Thats
[tex]r = \sqrt{ \frac{154}{\pi} } [/tex]
r = 7.0014086
We have the final answer as
radius = 7.0 cm
Hope this helps you
Two bags contain 10 balls each. Every round, you choose with equal probability one of the 2 bags and pick out a ball. After a while, you choose an empty bag. What is the probability for the other bag to contain exactly 4 balls at that time?
a. 2.90%
b. 6.10%
c. 10.80%
d. 12.20%
Answer: b) 6.10%
Step-by-step explanation:
to find the probability for the other bag to contain exactly 4 balls at that time;
is only possible if you have chosen a particular bag 10 times and other bag 6 times.
After that, once again at the 17th attempt
so the required probability = ¹⁶c₁₀ × (1/2¹⁰ × (1/2)⁶ × (1/2)
= 0.610
CONVERT TO PERCENT
0.610 × 100
= 6.10%
What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°
Answer:
x = 78
Step-by-step explanation:
57° + x° = 135° (alternate angles, // lines)
x = 135 - 57
= 78
I hope this helps :)
Compute the (sample) variance and standard deviation of the data sample. (Round your answers to two decimal places.) −8, 2, 2, 4, 15 variance standard deviation
Answer:
Variance = 67.00Standard deviation ≈ 8.19Step-by-step explanation:
Before we can calculate the standard deviation of the dataset, we need to get the mean value first.
mean = sum of the values/total number given
mean = -8+2+2+4+15/5
mean = 15/5
mean (xbar) = 3
For ungrouped data:
Variance S²= ∑(xi-xbar)²/N-1
xi are the individual values
xbar is the mean value = 3
N is the total number in the dataset = 5
Variance = (-8-3)²+(2-3)²+(2-3)²+(4-3)²+(15-3)²/5-1
S² = (-11)²+(-1)²+(-1)²+(1)²+(12)²/4
S² = (121+1+1+1+144)/4
S² = 67
Hence the variance of data sample is 67.00
Standard deviation is the square root of the variance.
√S² = Standard deviation
√67 = Standard deviation
Standard deviation = 8.185
Standard deviation ≈ 8.19 (to 2 decimal place)
3-7 Please Help BRAINLEST
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------
Answer: r = 7.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]17 = r + 10[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]r + 10 = 17[/tex]
Subtract 10 from both sides.
[tex]r = 17 - 10[/tex]
Subtract 10 from 17 to get, you guessed it, 7!A temperature recorded in Antarctica was - 122°F. The temperature recorded in the Sahara Desert was 130°F. How many degrees warmer is 130°F than - 122°F?
ebook
Answer:
252* warmer
Step-by-step explanation:
130 -(-122) = 130 + 122 = 252
I need help with this question !!!!!!!
Answer:
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Step-by-step explanation:
This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.
So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.
-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.
5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.
To right that in notation simply
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Cheers.
NEED HELP ASAP!! I need to find out x!! Trigonometry!!
Answer:
Hey there!
Well first, don't feel bad, since trig is really hard, especially if you are just learning it.
If you've learned about SOH CAH TOA, you will see that TOA is the best identity to use here.
tangent 20=x/10
tangent 20 (10)=x
x=3.64
Let me know if you have any other trig questions, I'm always here to help :)
In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be (other things being equal
Answer:
15% above the trend.
Step-by-step explanation:
A time series represented by Y comprises of dataset observed over a particular period of time. Time series is handy in determining the future of a particular business.
In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be
Y = T × C × S × 1
where;
Seasonal S = 1.15
As such Y would increase by 15% above the trend if all other things are being equal.
Evaluate the expression: 15c4
A. 8,190
B. 32,760
C. 1,365
D. 5,460
Answer:
C. 1365
Step-by-step explanation:
The expression nCr can be written with the simple equation:
n! / ((n-r)! * r!)
So to evaluate 15C4:
15! / ((15-4)! * 4!)
= 1365
So 15C4 = 1365
Cheers.
Answer:
1365
Step-by-step explanation:
15!/4!(15-4)!
1365
Write a decimal expansion for 2/9. Chose the correct decimal notation.
Answer:0.222222
Step-by-step explanation:
DIVIDE 2 BY 9
If _____, the Triangle)ABC and Triangle)EFD are congruent by the ASA criterion
-Angle B is congruent to angle E
-Angle C is congruent to angle E
-Angle a is congruent to angle E
If______,then triangle)ABC and triangle)EFD are congruent by the SES criterion
-AB = DE
-BC = FD
-CA = FD
Answer:
1). Angle c is congruent to angle E
2) BC=FD
Which One Doesn't Belong?
3x - 5
12x
1 + x
x2 + 5x + 6
How much is 18% Equal to in a decimal
Answer: .18
Step-by-step explanation:
Find ordered pair that is solution for liner equation 4x - 5y=20
Answer:
(0,-4) (5,0)
Step-by-step explanation:
4x-5y=20
First, we must put the equation into slope intercept form: y= mx+b
5y=4x-20=y=4/5x-4
The y intercept, by definition, is b. In this scenario, b is -4.
One ordered pair that works is (0,-4).
Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:
0=4/5(x)-4= 4=4/5x4x=20x=5Therefore, (5,0) works as well!
HELP ME WITH THIS PROBLEM PLEASE the problems are 1-3
(The problems are in a picture)
1. 3 times a number less than the sum of twice a number and 2.
Let x be the number
The sum of twice of x and 2 is 2x + 2.
3 times a number less than this is 2x + 2 - 3x = -x + 2.
2. 6 multiplied by the sum of a number and 8.
Let x be the number
The sum of a number and 8 is x + 8.
6 multiplied by this is 6(x+8) = 6x + 48
3. Jane saves $10 per week, so after w weeks, she saves 10w.
She already has $50, so she then has 50 + 10w.
Help! ASAP pls There is a frog dead in the center of the pond on a lily pad. The pond is 7 meters in diameter. There are 6 lily pads leading to the edge, which the frog MUST jump onto if he wishes to get out. The frog can only jump to 3 pads each day. How many days will it take him to get to the edge of the pond? And give an explanation
Answer:
Approximately 2 days.
Step-by-step explanation:
The frog can only jump 3 lily pads each day.
24 hours = 1 day
[tex]\frac{24}{3}[/tex] = 8 hours
Thus, it would take the frog 8 hours to cover a lily pad.
To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).
So that;
Total time required to get to the edge of the pond can be determined by;
6.5 × 8 hours = 52 hours
Number of days to get to the edge of the pond = [tex]\frac{52}{24}[/tex]
= 2.2
It would take him approximately 2 days to get to the edge of the pond.
Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle. How many unique triangles can Gloria draw that meet her teachers requirements
Answer:
Just two
Step-by-step explanation:
Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.
The presence of 90 degrees indicates that it's a right angle triangle.
The remaining angle= 180-90-42
The remaining angle= 48 degrees
Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.
Which of the following is equal to the opposite of −45? −(−45) −45 −|−45| −|45|
Answer:
−(−45)
I hope this helps.
Answer:
−(−45)
Step-by-step explanation:
Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number $2$ is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by $-2$ and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by $2$. The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board (including at the beginning)?
Answer:
The number of times Ivan and Adeline have the same number written on the board is 6.
Step-by-step explanation:
Consider the procedure as follows:
On each half of the board, the number 2 is written.On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.Adeline does the same on each signal, except that she multiplies by 2. The teacher gives 10 signals in total.Consider the numbers on each half of the board:
Ivan Adeline
2 2
2 × -2 = -4 2 × 2 = 4
-4 × -2 = 8 4 × 2 = 8
8 × -2 = -16 8 × 2 = 16
-16 × -2 = 32 16 × 2 = 32
32 × -2 = -64 32 × 2 = 64
-64 × -2 = 128 64 × 2 = 128
128 × -2 = -256 128 × 2 = 256
-256 × -2 = 512 256 × 2 = 512
512 × -2 = -1024 512 × 2 = 1024
-1024 × -2 = 2048 1024 × 2 = 2048
Thus, the number of times Ivan and Adeline have the same number written on the board is 6.
What is the value of 4 in the number 45?
Answer:
40
Step-by-step explanation:
4 is in "Ten's place".
So, the number is multiplied with 10.
=> 4 x 10
=> 40
The value of 4 in 45 = 40