Answer: sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)
Step-by-step explanation:
Here we can use the relation:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
In this case we have:
sin(x + 1)
This means that the graph of sin(x) is shifted one unit to the left.
But we can write this, using the above relation, as:
sin(x + 1) = sin(x)*cos(1) + sin(1)*cos(x)
Now we have no longer a shift, and we can replace:
sin(1) = 0.841
cos(1) = 0.540
Then:
sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)
If your car gets 34 miles per gallon, how much does it cost to drive 370 miles when gasoline costs $3.30 per gallon?
The cost is $
nothing.
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
15
Step-by-step explanation:
What is 19 less than a variable n
Answer:
-19+n
OR
n-19
Step-by-step explanation:
2-[ 9 --[17:13]13
-2 07
08
13. What is B-CF?
-E-1
23 6.5
A.
- 11.4 44
-21 1.5
B.
12 -41]
26 8 -37
C.-7.4 51 56
25 -6 10
-19 6.5
D.
-6 -38]
Justin had 4 math worksheets for
homework this week. Each worksheet had
48 problems on it. If he only answered 5
questions incorrectly all week, how many
questions did Justin answer correctly?
Answer:187 questions answered correctly
Step-by-step explanation:
4*48=192
192-5=187
what is the inverse operation of add 5 ?
Answer:
Step-by-step explanation:
Subtract 5
Answer:
Example: Addition and subtraction are inverse operations
Miguel divided 205 oranges evenly into 5 boxes. How many oranges were in each box?
Answer:
41
Step-by-step explanation:
205 divided by 5=41
Answer:
The Answer is 41 oranges in each box
I need help like omg ....I’ve been asking for a tutor or if someone Is willing to help me I am not a bot ima real person .... i just need help with my math I swear !
Answer:
(0, -6) (-7, 9)
Step-by-step explanation:
I recommend watching a khan academy video, its how I learned, cause I don't really know how to explain it on here
Solve the equation. 10 - 6v = -104
10 - 6v = -104
-6v = -104 - 10
-6v = -114
6v = 114
v = 114/6
v = 57/3
v = 19
The semiannual tuition payment at a major university is expected to be $30,000 for the 4 years beginning 18 years from now. What lump sum payment should the university accept now, in lieu of tuition payments beginning 18 years, 6 months from now? Assume that money is worth 6%, compounded semiannually, and that tuition is paid at the end of each half-year for 4 years. (Round your answer to the nearest cent.)
Answer:
$49,216.78
Step-by-step explanation:
A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k
A = Present value of deferred annuity
R = Payment at the end of period
R = 30,000
i = 0.06 / 2
n = (4)*2 = 8
k = deferred period, (18)*(2) = 36
A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36
A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36
A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185
A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185
A(n,k) = 30,000*6.732744875*0.24366872185
A(n,k) = 49216.78014700164
A(n,k) = $49,216.78
So the lump sum payment that the university accept now is $49,216.78
Help me please hurry up
there are 12 flowers and Sasha garden and she picks 3 flowers for her father then she picks 2 flowers for her mother how many flowers are in the garden now
Answer:
7 FLowers
Step-by-step explanation:
If you take away 3 from 12, you end up with 9, then you take 2 more away, leaving you with 7 flowers.
Corey bought 56 boxes of tiles from the Home Improvement store which was 4/7 of the total number of boxes that they had how many boxes of tiles does a store have
Answer:
a store haves 98 boxes of tiles
Complete each congruent statement by naming the corresponding angle or side.
Answer:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
Step-by-step explanation:
From the image provided and the fact that the triangles LJX and VWX are congruent, we can say:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
Triangle A (1, 1), B (4, 4), C (6, 2) is
Answer:
Is a obtuse triangle
Step-by-step explanation:
50% of 25% of the number is 96
Answer:
if I'm supposed to find the number it is 768
Step-by-step explanation:
double 96 which equals 192 then multiply that times 4 which is 768
The 50% of 25% of the number 96 will be equal to 12.
What is percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 96 and the value of 50% of 25% of 96 will be calculated as,
P = 50% x 25% x 96
P = 0.5 x 0.25 x 96
P = 12
Therefore, 50% of 25% of the number 96 will be equal to 12.
To know more about percentages follow
https://brainly.com/question/24304697
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What is the slope of the line that crosses points (6, 9) and (10, 11)
[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]
Answer:
2/4 or 1/2
Step-by-step explanation:
slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.
y-axis is the rise because it goes up and down
x-axis is the run because it's horizontal
rise/run= 2/4= 1/2 because you always simplify.
Sarah wants to buy a new pair of sandals. The sandals are $45 and she has a coupon for 30% off. What is the price of her sandles after the discount?
Answer:
$31.5
Step-by-step explanation:
-$45
-30 percent off of $45
30 times 45 divided by 100
1350/100
13.5
45-13.5
$31.5
What is the probability of obtaining two heads in a row when flipping a coin?
Answer:
0.25000
Step-by-step explanation:
Need help finding the missing angle measure
Answer:
125
Step-by-step explanation:
(n-2)180
(6-2)180
=720
720-120-110-100-130-135
=125
Answer:
Step-by-step explanation:
It is a six sided figure sum of all angles should be 720 degree.
595 +x=720
x=720-595
x=125 degree
Another method
Sum of interior angles of a polygon is
= (n-2)×180=(6-2)×180= 720 degree
Use the picture in the diagram 2
Answer:
4
Step-by-step explanation:
4
Emma and her children went into a restaurant where they sell hotdogs for $4 each and drinks for $1.50 each. Emma has $30 to spend and must buy no less than 9 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
6 hotdogs and 4 drinks
Step-by-step explanation:
4x + 1.50y = 30
For questions like this, you can do the equation that represents the price of the products first.
x + y [tex]\geq[/tex] 9
After that, you can write the equation that represents the quantities.
Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:
The first equation:
4x + 1.50y =30
*Subtract 4x from both sides, which leads to:
1.50 y = -4x + 30
*Divide by 1.50 on both sides, which leads to:
y = -2.66x + 20
The second equation:
x + y [tex]\geq[/tex] 9
*Subtract x from both sides, which leads to:
y [tex]\geq[/tex] -1x + 9
Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.
Here is the graph: (it is attached as a file)
You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.
Answer:
[tex]y\geq 9-x[/tex] shaded up
[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down
4 hotdogs, 8 drinks
Step-by-step explanation:
is this right, be fr please
Answer:
1. yes
2.yes
Step-by-step explanation: you did the math right good
Is this paper 8 1/2 x 11 pls hurry pls pls pls I need help and can someone show me where 8 1/2 is on a ruler like this
Answer:
I believe that the paper should be around 8 1/2 x 11.
You can find 8 1/2 by going to the mark shown between 8 and 9 on the side with inches.
When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices random uniform logistic clumped
Complete question is;
When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices
A) random distribution pattern
B) uniform distribution pattern
C) logistic distribution pattern
D) clumped distribution pattern
Answer:
D: Clumped Distribution Pattern
Step-by-step explanation:
Looking at the options, the correct option is Clumped distribution pattern.
This is because in density and dispersion phenomenon, Clumped patterns will normally occur when resources get concentrated in small areas within a larger habitat or due to individuals that form social groups. However,on large spatial scales, majority of organisms will likely have clumped distributions mainly because their habitats are not distributed uniformly over wide areas.
Anyone know this???
================================================
Explanation:
To shift f(x) to the right three units, we need to replace every x with x-3
f(x) = (x+2)^2 + 1
f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3
f(x-3) = (x-1)^2 + 1
g(x) = (x-1)^2 + 1
The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).
Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?
Answer:
Sawyer has to pay $10 each week to pay his mom back
Step-by-step explanation:
Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.
The remaining $30 will be covered by his mom, given he pays the money back in three weeks.
If he pays the same amount each week, then each week he should pay $30 / 3 = $10
Sawyer has to pay $10 each week to pay his mom back
please help me asap
Answer:
3)7/12
4)2*14/25
5)25
hope my effort will help you in some way
Answer:
Step-by-step explanation:
3) [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3
[tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]
4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]
[tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]
5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]
= 5 * 5
= 25
An individual saves $5000 in a bank account at the beginning of each year for 10 years.
No further savings or withdrawals are made from the account. Determine the total amount saved if the annual interest rate is 8% compounded:
(a) annually;
(b) semi-annually.
Answer:
a) Amount saved if the interest is compounded annually is $5832
b) Amount saved if the interest is compounded semi-annually is $5849.5
Step-by-step explanation:
Principal Amount P = 5000
Time t = 10 years
Annual interest i = 8% = 0.08
We need to find amount saved if interest is compounded a) annually b) semi-annually
a) Amount saved if the interest is compounded annually
If interest compounded annually, n= 1
Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values:
[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832[/tex]
So, Amount saved if the interest is compounded annually is $5832
b) Amount saved if the interest is compounded semi-annually
If interest compounded semi-annually, n= 2
Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values:
[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5[/tex]
So, Amount saved if the interest is compounded semi-annually is $5849.5
(a). When compounded annually, the amount will be [tex]\$ 10,794.6[/tex]
(b). When compounded semi-annually, the amount will be [tex]\$ 10,955.6[/tex]
Compound interest:It is given that, an individual saves $5000 in a bank account at the beginning of each year for 10 years.
[tex]Principal(P)=5,000, t=10 years, rate(r)=8\%[/tex]
As we know that,
[tex]Amount=P(1+\frac{r}{100} )^{t} \\\\Amount=5,000(1+\frac{8}{100})^{10} \\\\Amount=5,000*(\frac{108}{100})^{10}\\\\Amount=\$ 10,794.6[/tex]
When interest is compounded semi-annually;
[tex]r=8/2=4\%, t=10*2=20[/tex]
[tex]Amount=5,000(1+\frac{4}{100})^{20} \\\\Amount=5,000*(\frac{104}{100})^{20}\\\\Amount=\$ 10,955.6[/tex]
Learn more about the compound interest here:
https://brainly.com/question/24924853
what is the slope of the line represented by the equation y equals negative 1 / 2 x + 1 / 4
Answer:
1/2
Step-by-step explanation:
just because it is
Write an expression for the calculation 16 added to 10 and then divided by 2
Answer:
it is 16 + 10 ÷ 2
Step-by-step explanation: