Answer:
[tex]y=-2cos (2(x+\pi ))-1[/tex]
Step-by-step explanation:
From the graph, we can see that y = -3 when x = 0.
So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.
1. y = -2 cos (4(x + pi)) - 1 = -2 cos (4(0 + pi)) - 1 = 3
2. y = 2 cos(x + pi) = 2 cos(0 + pi) = -1
3. y = -2 cos (2(x + pi)) - 1 = -2 cos (2(x + pi)) - 1 = -3
Therefore, the equation of this graph is y = -2 cos (2(x + pi)) - 1.
what is the distance between points (2,-3) and (0,8) to the nearest tenth
The distance between the points (2,-3) and (0,8) can be calculated using the distance formula which derives from the Pythagorean theorem. After plugging in the coordinates into the formula, we get the distance approximately equal to 11.2.
Explanation:To calculate the distance between the points (2,-3) and (0,8), we can make use of the distance formula derived from the Pythagorean theorem. The distance formula is: d = √[(x2-x1)² + (y2-y1)²].
Here, (x1, y1) = (2, -3) and (x2, y2) = (0, 8).
Now, plug the coordinates into the formula:
d = √[(0 - 2)² + (8 - -3)²]
d = √[(-2)² + (11)²]
d = √[4 + 121]
d = √125
So, the distance to the nearest tenth between (2,-3) and (0,8) is approximately 11.2.
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Sarah buys a video game for $44.00 plus 4% sales tax. Her brother, Jack, buys a video game for $36.00 plus 6% tax. Show your work. (3 points)
a.) What is the total cost of Sarah’s video game? Show all work.
b.) What is the total cost of Jack’s video game? Show all work.
c.) Who spent more on tax?
Answer:
Sarah spent 45.76
Jack spent 38.16
Jack spent more on tax
Step-by-step explanation:
Sarahs game costs:
tax = 44 *.04 = 1.76
Total cost = game + tax
= 44 + 1.76
=45.76
Jacks game costs:
tax = 36 *.06 = 2.16
Total cost = game + tax
= 36 + 2.16
=38.16
Jack spent more on tax
Find the value of each variable and the measure of arc LM. The diagram is not drawn to scale.
Answer:
x = 90
y = 50
Arc LM = 100
Step-by-step explanation:
Arc MK = 180 degrees
<x = 1/2 Arc MK
<x = 90 degrees
<x + <y + 40 = 180 all angles in a triangle add to 180
90 + <y + 40 = 180
130 + < y = 180
Subtract 130 from each side
< y = 50
Arc LM
1/2 Arc Lm = <y
1/2 Arc LM = 50
Multiply by 2
Arc LM = 100
Answer by YourHope:
Hi! :)
x = 90
y = 50
Arc LM = 100
:)
of the 25 sheep in the flock 34% are white.what is the total number of white sheep in the flock
At first, the ratio of Dave's savings to Sam's savings was 5:4. After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10. What was Dave's savings at first?
Answer:
$300
Step-by-step explanation:
Let D = Dave's savings and S = Sam's savings.
(1) D/S = 5/4
(2) (D – 40)/(S-40) = 13/10 Multiply (1) by 4S
(3) 4D = 5S Multiply (2) by 10(S-40)
10(D - 40) = 13(S - 40) Remove parentheses
(4) 10D – 400 = 13S - 520 Solve (3) for S
S = (4/5)D Substitute into (4)
10D – 400 = 13(4/5)D - 520 Multiply each side by 5
50D – 2000 = 52D – 2600 Subtract 50D from each side
-2000 = 2D – 2600 Add 2600 to each side
600 = 2D Divide each side by 2
D = $300
Dave's savings at first were $300.
If a batch of cookies uses 1 1/3 cups of chocolate chips to make 24 cookies, how many cookies will 3 cups of chocolate chips make?
If you can explain your answer, that would be helpful, but not necessary.
Thanks for any help :)
Answer:
x = 54 cookies
Step-by-step explanation:
We can use ratios to solve this problem
1 1/3 cups chocolate chips 3 cups chocolate chips
------------------------------------ = --------------------------------------
24 cookies x cookies
Using cross products
1 1/3 * x = 3 * 24
Let change 1 1/3 to an improper fraction
1 1/3 = (3*1+1)/3 = 4/3
4/3 x = 72
Multiply each side by 3/4 to isolate x
3/4 * 4/3x = 72*3/4
x = 54 cookies
I really need help on number one
Which is the approximate solution for the system of equations 3x+4y=2 and 4x+y=-4
A(-1.4,1.5)
B(1.4,1.5)
C(0.9,-0.2)
D(-0.9-0.2)
[tex]3x+4y=2\qquad\text{subtract 3x from both sides}\\\\4y=-3x+2\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{2}{4}\to y=-\dfrac{3}{4}x+\dfrac{1}{2}\\\\for\ x=0\to y=-\dfrac{3}{4}(0)+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\to\left(0,\ \dfrac{1}{2}\right)\\\\for\ x=2\to y=-\dfrac{3}{4}(2)+\dfrac{1}{2}=-\dfrac{3}{2}+\dfrac{1}{2}=-\dfrac{2}{2}=-1\to(2,\ -1)\\--------------------------------\\[/tex]
[tex]4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}[/tex]
The approximate solution for the system of equations 3x + 4y = 2 and 4x + y = –4 will be (–1.4, 1.5). Then the correct option is A.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
3x + 4y = 2 …1
4x + y = -4 …2
From equation 2, we have
y = –4 – 4x
Put in equation 1, we have
3x + 4(–4 – 4x) = 2
3x – 16x – 16 = 2
–13x = 18
x = –18/13
x = –1.38
x ≈ –1.4
Then the value of y will be
y = –4 – 4(–1.38)
y = 1.52
y ≈ 1.5
Then the correct option is A.
More about the solution of the equation link is given below.
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write an equation of a line that is parallel to y=-x+3
write an equation of a line that is parallel to y= 3/4x-1
Problem 1
One possible answer is y = -x+5
This equation has a slope of -1 as does the first equation y = -x+3. Parallel lines have equal slopes but different y intercepts.
You can change the "+5" to any number you want.
=====================================
Problem 2
One possible answer is y = (3/4)x - 2. Like before, parallel lines have the same slope, just a different y intercept. The "-2" can be any number (negative or positive) you want as long as the slope remains 3/4.
A bag contains 2 red marbles, 3 green marbles, and 2 black marbles what is the probability of NOT drawing out a black marble
Answer:
P (not black ) = 5/7
Step-by-step explanation:
We need to know the total number of marbles
2 red + 3 green + 2 black = 7 marbles
P (not black ) = Not black/ total
= ((2 red+ 3 green)/ total
= 5/7
A guy wire that is 21m long is attached to a cell phone tower 13 m high. Determine the angle formed by the guy wire and the ground
Answer:
[tex] 38^\circ [/tex]
Step-by-step explanation:
We assume that the ground is horizontal and the tower is vertical. The guy wire, the ground, and the tower form a right triangle. The guy wire is the hypotenuse. I'll call the angle formed by the guy wire and the ground angle A. For angle A, the tower is the opposite leg. Since we know the opposite leg and the hypotenuse, we use the sine ratio.
[tex] \sin A = \dfrac{opp}{hyp} [/tex]
[tex] \sin A = \dfrac{13~m}{21~m} [/tex]
To find the measure of angle A, we use the inverse sine function.
[tex] A = \sin^{-1} \dfrac{13}{21} [/tex]
[tex] A = \sin^{-1} 0.6190476 [/tex]
[tex] A = 38^\circ [/tex]
Solve for x.
.
Simplify your answer as much as possible.
2x = 15 - 3x -- add 3x to both sides
5x = 15 -- divide both sides by 5
x = 3 -- simplest form
For this case, we must find the value of "x" of the following equation:
[tex]2x = 15-3x[/tex]
We add 3x to both sides of the equation:
[tex]2x + 3x = 15-3x + 3x\\5x = 15[/tex]
We divide between 5 on both sides of the equation:
[tex]\frac {5x} {5} = \frac {15} {5}\\x = 3[/tex]
Thus, the value of x is 3.
Answer:
[tex]x = 3[/tex]
How many thousands = 4,000 ones
solve 4-2(2x-7)= -6
A. -6
B. -5
C. -3
B. 6
Answer:
x=6
Step-by-step explanation:
4-2(2x-7)= -6
Distribute the -2
4 -2*2x -2*-7 =-6
4 -4x+14 = -6
Combine like terms
18 -4x = -6
Subtract 18 from each side
18-18 -4x = -6 -18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x =6
You are baking brownies. The recipe asks for 23 cup of walnuts. All you have is 13 cup. How many walnuts are you missing from the recipe?
You have 1 cup of walnuts missing.
You have 13 cup of walnuts missing.
none of these
You have 23 cup of walnuts missing.
Trapezoid ABCD has vertices A(2, 4) , B(5, 4) , C(7, 1) , and D(0, 1) . Is this trapezoid an isosceles trapezoid?
Answer:
Yes
Step-by-step explanation:
Segments AB and CD are parallel and 3 units apart.
Point D is 2 units left of point A, and point C is 2 units right of point B. The trapezoid is symmetrical about the line x = 3.5, so is isosceles.
Answer:
Isosceles trapezoid
Step-by-step explanation:
1)By definition, an isosceles trapezoid has two congruent sides and four vertices. According to the given coordinate points, what we have is an isosceles trapezoid. Graphically, we can say that:
[tex]\overline{AD} \cong \overline BC[/tex]
2) Proving with Analytical Geometry that
[tex]\overline{AD} \cong \overline BC[/tex]
[tex]D_{BC}=\sqrt{(1-4)^{2}+(7-5)^{2}}\Rightarrow D_{BC}=\sqrt{9+4}\Rightarrow D_{BC}=\sqrt{13}\cong3.61\\D_{AD}=\sqrt{(1-4)^{2}+(0-2)^{2}}\Rightarrow D_{AD}=\sqrt{9+4}\Rightarrow D_{AD}=\sqrt{13}\cong3.61[/tex]
A and B are independent events. P(A) = 0.40 P(B) = 0.20 What is P(A/B)
Final answer:
For two independent events A and B, the conditional probability P(A|B) is equal to the probability of A. Since P(A) is given as 0.40 and the events are independent, P(A|B) is also 0.40.
Explanation:
The question pertains to the concept of conditional probability for independent events in probability theory. When we have two independent events A and B, the conditional probability P(A|B), which is the probability of event A given that event B has occurred, is simply the probability of A, because the occurrence of B does not affect the probability of A when events are independent. This is expressed as P(A|B) = P(A).
Given P(A) = 0.40 and P(B) = 0.20, and knowing that A and B are independent, we can state that:
P(A\B) = P(A)
The probability that event A occurs given that event B has also occurred is 0.40, which is the original probability of A.
Nick purchased a box of 425 thumbtacks. The box contained green thumbstacks and yellow thumbstacks. The number of green thumbstacks to the number of yellow thumbstacks was in the ratio of 7:10. How many yellow thumbstacks were in this box?
Answer:
250 yellow thumbtacks
Step-by-step explanation:
7:10 ratio (17 thumbtacks)
425 / 17 = 25
7 x 25 = 175 green
10 x 25 = 250 yellow
i need help w this geometry problem
Answer:
D
Step-by-step explanation:
As the angle Known to us is (2y-3)°
Now
∠B = (2y-3)° (when two parralel lines are cut by another line then angles opposite are equal)
∠D=180-(2y-3)° (Because angle to the line is same as B and as on one line total angle is 180° one part equals to B so other equals to 180-∠B)
Similarly
∠Q=∠D = 180-(2y-3)°
Because interior angles of a line cutting by a same line will be equal
pleaseeeeeeeeeeee
How to write the following in scientific notation :
a. (5×〖10〗^3 )×(3.5×〖10〗^(-1)
b. (8×〖10〗^2 )÷(4×〖10〗^3 )
c. (6×〖10〗^(-3) )^2
[tex]\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a<10,\ n\in\mathbb{Z}[/tex]
[tex]a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}[/tex]
[tex]b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}[/tex]
[tex]c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}[/tex]
[tex]Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}[/tex]
when a certain amount is divided into the ratio 2:3, the larger is $1200. What amount was shared?
A.$800.00
B. $400.00
C. $2000.00
D. $1600.00
The total amount shared was $2000.00
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.Ratio is denoted by "is to" (:) between the expressions.How to find what was the amount shared?According to the problem,
A certain amount is divided into the ratio 2:3.The larger amount is $1200We can say that the amount of money is divided in to $2x and $3x
Clearly 3x is larger and will represent $ 1200
∴ 3x = 1200
⇒ x = 400
∴ The other part will be $ 2x = $ 800
∴ Total amount shared was $ (800 + 1200) = $2000.00
So, option C is correct.
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Use elimination to solve the system
6x-4y=6
-6+3y=0
A. (5,6)
B.(-3,-6)
C.(1,0)
D.(4,-8)
Answer:
B. (-3, -6)
Step-by-step explanation:
(1) 6x - 4y = 6
(2) -6x + 3y = 0 Add (1) and (2)
-y = 6 Multiply each side by -1
y = -6 Substitute in (2)
-6x +3(-6) = 0 Remove parentheses
-6x – 18 = 0 Add 18 to each side
-6x = 18 Divide each side by -6
x = -3
The solution is (-3, -6).
A baker can make 30 gingerbread cookies in one half hour. How many can he make in 4 hours
Answer:
So 30:1/2
So you can times both sides by 2
60:1
Now you can multiply 60 by 4 (The total times the time you need)
Your answer is 240
The baker can make 240 gingerbread cookies in 4 hours
Hope that helps feel free to ask more questions
Brainliest??
you sold two different types of wrapping paper for your band fund-raiser. One type sold for $6 a roll and the other for $8 a roll. You collected a total of $92 for the 14 rolls you sold. How many of each type of wrapping paper did you sell?
Answer:
10 and 4
Step-by-step explanation:
So let's set up equations. So x+y=14. And 6x+8y=92. So 2y=8 or y=4. So x=10.
What type of transformation takes the graph of f(x) = |x| to the graph of g(x) = |4+x|
A. Vertical translation of 4 units down
B. Horizontal translation of 4 units left
C. Vertical translation of 4 units up
D. Horizontal translation of 4 units right
Adding a number to the variable moves the graph horizontally to the left.
The answer is B.
Which list shows the numbers in order from least to greatest?
2.43, 2.045, 259
2.045, 2.43, 259
2.43, 2.045, 259
259 , 2.045, 2.43
2.045, 259 , 2.43
Answer: second one (B) - 2.045, 2.43, 259
Step-by-step explanation: 2.045 is the lowest value due to the 0 in the hundredths place. 2.43 has a lower value than 259, it being a decimal.
Mr. Logan needs to buy snacks for his daughter's soccer team. He decides to buy crackers and granola bars at a local grocery store. The price of the crackers is $9 for 3 boxes, and the price of the granola bars is $6 for 3 boxes. Mr. Logan ends up buying $20 worth of crackers and granola bars. Which equation represents the relationship between the number of boxes of crackers, x, and the number of boxes of granola bars, y, that Mr. Logan bought at the grocery store?
A. 2x+2y=20
B.2x+3y=20
C.3x+2y=20
D.3x+3y=20
Answer:
Option no C
Step-by-step explanation:
Given:
Price of crackers $ 9 for 3 boxes
Price of Granola Bars $6 for 3 boxes
Total bought $ 20 worth of snacks
To find the equation
Solution:
Price of cracker $ 9 for 3 boxes
price of one box of a cracker = $ 9 / 3
=$ 3 per box
Price of granola bars $ 6 for 3 boxes
price of one box of a granola bars = $ 6 / 3
=$ 2 per box
Let total crackers bought are x
price of x crackers will be 3x
Let granola bars bought are y
price of y granola bars will be 2y
as total price is 20
so price of x crackes + y granolas = 20
which will be
3x + 2y = 20
which will be option no C
Marie placed two orders at the same restaurant last month. In one order, she received 5 trays of lasagna and 3 trays of garlic bread for $163. In the other order, she received 4 trays of lasagna and 4 trays of garlic bread for $150.80. What is the price for one tray of lasagna, l, and one tray of garlic bread, g? l = $24.95 g = $12.75 l = $12.75 g = $24.95 l = $24.75 g = $12.95 l = $12.95 g = $24.75
Answer:
L=$24.95 , G=$12.75
Step-by-step explanation:
This problem is a classic system of equations problem. There are several methods of solving these problems, because of the circumstances and values given I think it's best to use the elimination method. The elimination method attempts to cancel out a variable by subtracting one equation from another.
The first statement Marie received an order of 5 trays of lasagna and 3 trays of garlic bread for a total of $163. I'm going to use "L" for lasagna and "G" for garlic bread. Therefore, the equation for the scenario above is:
[tex]5L+3G=163[/tex]
In the second statement Marie received an order of 4 trays of lasagna and 4 trays of garlic bread and so:
[tex]4L+4G=150.80[/tex]
Now we cannot use the elimination method directly because equation 1 and equation 2 do not have any coefficients in common. However, we can eliminate "G" by first multiplying the top equation by 4 and the bottom equation by 3. We are doing this because those are the coefficients of the other equation, and thus will return a common value as such:
Equation 1:
[tex]4(5L+3G=163)\\20L+12G=652[/tex]
Equation 2:
[tex]3(4L+4G=150.80)\\12L+12G=452.40[/tex]
Now we can subtract equation 2 from equation 1 and eliminate the "G" variable as such:
[tex]20L+12G=652\\-(12L+12G=452.40)\\\\8L+0G=199.60\\\\8L=199.60\\\\[/tex]
By solving for L we obtain:
[tex]8L=199.60\\\\\frac{8L}{8}=\frac{199.60}{8}\\\\L=24.95[/tex]
Therefore, one tray of lasagna is $24.95. Now that we know the value of "L" we can use any of our original equations to figure out what "G" is. I'll use the first equation and so:
[tex]5L+3G=163\\\\5(24.95)+3G=163\\\\124.75+3G=163\\\\124.75-124.75+3G=163-124.75\\\\3G=38.25\\\\\frac{3G}{3}=\frac{38.25}{3}\\\\G=12.75[/tex]
And so the price of a tray of garlic bread is $12.75. So the answer is the price of lasagna = $24.95 and garlic bread = $12.75
~~~Brainliest Appriciated~~~
Answer:
lasagna = $24.95 and garlic bread = $12.75
:)
which property is used to simplify the expression 1+(6+0)=1+6
additive inverse property
additive identity property
associative property of addition
commutative property of addition
Answer:
commutative property of addition
Step-by-step explanation:
commutative property of addition means that both sides on the equal sign have the same numbers but just has is in a deferent order. It might be confusing for this one because there is a 0, but 0 is nothing so it still applies.
Hope this helps, have a great day!
Help plz.....
64 divide 2 x 8 + 12
Answer:
268
Step-by-step explanation:
64 divide 2 times 8 plus 12
32 times 8 plus 12
32 times 8
256 plus 12
268