The dominate is 34 I did it
Find the values of x and y in the following parallelogram
D
C
17
+ 13/ 5y + 4
16- X
A
B
Answer:
A b
Step-by-step explanation:
i m very frendly ask me anyrhing
a) 8 + (5 + 3) =16
b) (12 + 15) + (3 + 2 + 1) + 4 (5 + 3 + 2 + 8) =
c) 150 – [18 + (5 – 3) + (6 – 2)] =
d) (15 + 2) – (6 + 2) =
e) (17 – 3) – (11 – 3) =
f) [(6 – 4) – (3 – 2)] – [(9 – 7) – (6 – 5)] =
g (14 + 6 – 4) – (9 – 7 – 2) =
The amount time a tub is filling up varies directly to the amount of water in the tub. The tub is filling up at a rate of 6 gallons in 2 minutes. How many gallons of water will be in the tub after 5 minutes?
60 gallons
30 gallons
15 gallons
5 gallons
Answer:
30 gallons.
Step-by-step explanation:
If you multiply 6 x 5
(6 being the gallons)
(5 being the minutes)
I believe that the answer is 30 gallons.
Solve for x: -243 = -9(10 + x)
Answer:
x=17
Step-by-step explanation:
−243=−9(10+x)
Step 1: Simplify both sides of the equation.
−243=−9(10+x)
−243=(−9)(10)+(−9)(x)(Distribute)
−243=−90+−9x
−243=−9x−90
Step 2: Flip the equation.
−9x−90=−243
Step 3: Add 90 to both sides.
−9x−90+90=−243+90
−9x=−153
Step 4: Divide both sides by -9.
−9x/−9
= −153/−9
x=17
Answer:
x=17
Step-by-step explanation:
I took the test!
Find all complex numbers z satisfying the equation cos z = 4. Find all complex numbers z satisfying the equation cos z = i sin z.
To find all complex numbers z satisfying the equation cos z = 4, we need to use the identity:
cos z = cos(x + iy) = cos(x)
cosh(y) - i sin(x)sinh(y)
Given cos(z) = 4, we have
cos(x)cosh(y) = 4 and sin(x)sinh(y) = 0
Since sin(x) and cosh(y) are non-zero, we have tan(x) = sinh(y)/cos(x)
Also, using the identity: cosh²(y) - sinh²(y) = 1, we get
cos²(x)cosh²(y) - sin²(x)sinh²(y) = 16 - 1 = 15
Dividing both sides by cos²(x), we get:
cosh²(y) - tan²(x)sinh²(y) = 15/cos²(x)
Therefore, substituting the value of tan(x) in the above expression, we get:
cosh²(y) - sinh²(y)/cos²(x) = 15/cos²(x)
Rearranging, we get:
cosh²(y) - 17/16 = 0
Therefore, cosh(y) = ±sqrt(17)/4
Taking the positive square root, we get
y = arccosh(sqrt(17)/4)
Taking the negative square root, we get
y = -arccosh(sqrt(17)/4
)Therefore, the solutions for cos(z) = 4 are
:z = nπ - arctan(tanh(y)) ± i arccosh(sqrt(17)/4)z = nπ - arctan(tanh(y)) ± i arccosh(-sqrt(17)/4)
where y = arccosh(sqrt(17)/4) or y = -arccosh(sqrt(17)/4) and n is an integer.
To find all complex numbers z satisfying the equation cos z = i sin z, we can use the identity:
cos z = i sin z, i.e., cos(x) + i sin(x) = i sin(x)cos(x) - sin(x) = 0sin(x)(cos(x) - 1) = 0
Therefore, either sin(x) = 0 or cos(x) = 1When sin(x) = 0, we have x = nπ where n is an integer When cos(x) = 1, we have x = 2nπ where n is an integer
Therefore, the solutions for cos(z) = i sin(z) are:z = nπ + i(nπ + π/2)z = 2nπ + i(2nπ) where n is an integer
The complex numbers z satisfying the equation cos z = 4 are:z = nπ - arctan(tanh(y)) ± i arccosh(sqrt(17)/4)z = nπ - arctan(tanh(y)) ± i arccosh(-sqrt(17)/4)where y = arccosh(sqrt(17)/4) or y = -arccosh(sqrt(17)/4)and n is an integer.The complex numbers z satisfying the equation cos z = i sin z are:z = nπ + i(nπ + π/2)z = 2nπ + i(2nπ)where n is an integer.
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Write in a standard notation
3.6 x 104
Help me and explain please
Answer:
36000
Step-by-step explanation:
Move the decimal to the right four times because of 10^4
12r2s + 21rs2 – 3rs=
15. Increase 600 by 8/3%. (a) 50 (b) 450 (c) 550 (d) 605 (e) 650
To increase 600 by 8/3%, we can use the formula: New value = Old value + (Percent increase/100) x Old value. So, Rounding off to the nearest whole number, we get: New value ≈ 616
Using this formula, we can calculate the new value of 600 as follows:
New value = 600 + (8/3)% x 600
First, we need to convert the percent to a decimal by dividing it by 100:8/3% = 8/3 ÷ 100 = 0.0266
Substitute this value into the formula:
New value = 600 + 0.0266 x 600
Simplify by multiplying: New value = 600 + 15.96
New value = 615.96
Rounding off to the nearest whole number, we get: New value ≈ 616
Therefore, the correct answer should be approximately 616
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tres pintores van a pinatr tres bardas y entres los tres lo pagaran cuanto pagara cada uno?
The amount paid by person is given as follows:
400.
How to obtain the amount paid by person?The amount paid by person is obtained applying the proportions in the context of the problem.
The total cost is given as follows:
1200.
The number of people is given as follows:
3.
Hence the amount paid by person is given as follows:
400.
Missing InformationThe total cost is of 1200.
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HELP HELP WILL GIVE BRAINLEST
Answer:
y = 3/2x + 2
Step-by-step explanation:
first things first write the equation is y = mb+b form which would be 2y = 3x + 14 then divide everything by 2 to get y by itsself --> 3/2x + 7 for an equation to be paralle the equation needs the same slope which is -6 so 3/2(-6) = -9 so the next equation would also start with 3/2x, so you would then do this:
-11 = -9 + b (y = mx+b)
b = -9 + 11 --> b = 2
so the equation is
y = 3/2x + 2
PLEASE HELP ME WITH THIS 20 points!!!!!
Answer:
4x+10=28
We simplify the equation to the form, which is simple to understand
4x+10=28
We move all terms containing x to the left and all other terms to the right.
+4x=+28-10
We simplify left and right side of the equation.
+4x=+18
We divide both sides of the equation by 4 to get x.
x=4.5
Step-by-step explanation:
which term of the arithmetic sequence 1, 3, 5, 7, ... is equal to 141
Answer:
71
Step-by-step explanation:
2n-1=141
2n=142
n=71
Convert 87/15 to a mixed number
Answer:
5 and 4/5
Step-by-step explanation:
Answer:
5 4/5 (5 12/15 not reduced)
Step-by-step explanation:
15 will go into 87 5 times.
15x1 = 15. 15x2 = 30. 15x3 = 45. 15x4 = 60. 15x5 = 75. 15x6 = 90. 90 can not go into 87, so you have to work with 75. 87-75=12. So, now your answer is
5 12/15. You are able to divide each of those numbers by 3, so let’s reduce. 12 divided by 3 is 4, and 15 divided by 3 is 5. So your reduced answer is 5 4/5. Hope that helped.
Which expression is equivalent
the quotient of 10 and 2
Answer:
5
Step-by-step explanation:
10 divided by 2 is 5
Answer:
5
Step-by-step explanation:
you divided 10 by 2
While playing volleyball, Ralph drank 3/4 of a jug of water. If the jug held 64 fluid ounces of water, how much water did Ralph drink?
Answer:
48
Step-by-step explanation:
no explanation im just big brain
On a recent glider flight, Lucy took a tow to 3000 feet above ground level. She found a good thermal and climbed 1800 feet. Then she hit big sink and lost 2200 feet. What was her altitude at that point?
peacekeeper yesyklll
Find the midpoint M of the line segment joining the points A = (-7, -6) and B = (3, 4).
B
M=
COD
Answer:
The midpoint is (-2,-1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
( -7+3)/2 = -4/2 =-2
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(-6+4)/2 = -2/2 =-1
The midpoint is (-2,-1)
Lainey bought a set of 202020 markers for \$6$6dollar sign, 6.
What is the cost of 1 marker?
Answer:
$0.30
Step-by-step explanation:
6 / 20
0.3
Best of Luck!
Answer:
the cost of 1 marker is $0.30.
Step-by-step explanation:
the ratio of number of markers is 20:6
Let's find an equivalent ratio that shows the cost for 1 marker.
A ratio where one of the terms is 1 is called a unit rate. We can divide the number of markers by 20 to get to 1 marker.
markers -> cost
$6÷20=$0.30
The cost of 1 marker is $0.30.
The cities Youngstown, Prairieville; and Dorchester, in respective order, lie approximately in a straight line. The distance from Youngstown to Prairieville is 102 miles. The distance from Youngstown to Dorchester is 213 miles. Find the distance from Prairieville to Dorchester.
4.75x=+54+2.50x
Can you help me with the above equation?
∠A and ∠B are complementary angles. If m∠A=(6x+1) ∘ and m∠B=(8x-23) ∘, then find the measure of∠B.
Given that <A and <B are complementary angles, the measure of angle B is: [tex]41^{\circ}[/tex]
Apply the knowledge of what complimentary angles are to solve for x then find the measure of <B.
Since <A and <B are both complimentary angles, therefore:
<A + <B = 90 degrees.Given:m<A = (6x+1)
m<B = (8x-23)
Substitute[tex](6x+1) + (8x-23) = 90[/tex]
Open the bracket[tex]6x+1 + 8x-23 = 90[/tex]
Add like terms[tex]6x+1 + 8x-23 = 90\\\\14x - 22 = 90[/tex]
Add 22 to both sides[tex]14x = 90 + 22\\\\14x = 112[/tex]
Divide both sides by 14[tex]x = 8[/tex]
Find m<B by plugging in the value of x[tex]m \angle B = 8x-23\\\\m \angle B = 8(8) - 23\\\\m \angle B = 41^{\circ}[/tex]
Therefore, given that <A and <B are complementary angles, the measure of angle B is: [tex]41^{\circ}[/tex]
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Find the y-intercept of the line on the graph.
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is the y-value when x = 0.
From the graph, we see that when x = 0, y = 4.
Find one solution for the equation. Assume that all angles involved are acute angles. tan (2B + 1°) = cot (5B+5°) B° =
One solution for the equation is B = 9°.
To find this solution, we can use the relationship between tangent and cotangent functions. Since the given equation involves tangent and cotangent angles, we can rewrite the equation using their reciprocal relationship: tan(x) = 1/cot(x).
By substituting this relationship into the given equation, we get tan(2B + 1°) = 1/tan(5B + 5°).
Next, we can simplify the equation by taking the reciprocals of both sides: cot(2B + 1°) = tan(5B + 5°).
Since we are looking for acute angles, we can focus on the principal values of cotangent and tangent functions within the given equation. By equating the angles, we have 2B + 1° = 5B + 5°.
Solving for B, we find B = 9°.
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Two dice are cast. What is the probability that the sum of the two numbers does not exceed 10 (i.e. is less than or equal to 10)?
The probability is approximately 0.9167 or 91.67%.
To find the probability that the sum of two dice numbers does not exceed 10, we need to determine the favorable outcomes (sums less than or equal to 10) and the total possible outcomes when rolling two dice.
There are 36 possible outcomes when rolling two dice because each die has six faces (1, 2, 3, 4, 5, and 6), and the total number of outcomes is obtained by multiplying the number of outcomes for each die (6 * 6 = 36).
Now let's determine the favorable outcomes (sums less than or equal to 10):
When the sum is 2: There is only one combination (1 + 1).
When the sum is 3: There are two combinations (1 + 2 and 2 + 1).
When the sum is 4: There are three combinations (1 + 3, 2 + 2, and 3 + 1).
When the sum is 5: There are four combinations (1 + 4, 2 + 3, 3 + 2, and 4 + 1).
When the sum is 6: There are five combinations (1 + 5, 2 + 4, 3 + 3, 4 + 2, and 5 + 1).
When the sum is 7: There are six combinations (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1).
When the sum is 8: There are five combinations (2 + 6, 3 + 5, 4 + 4, 5 + 3, and 6 + 2).
When the sum is 9: There are four combinations (3 + 6, 4 + 5, 5 + 4, and 6 + 3).
When the sum is 10: There are three combinations (4 + 6, 5 + 5, and 6 + 4).
Adding up the favorable outcomes, we get: 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 = 33.
Therefore, the probability that the sum of the two dice numbers does not exceed 10 is given by:
Probability = Favorable outcomes / Total outcomes = 33 / 36 = 11/12 ≈ 0.9167.
So, the probability is approximately 0.9167 or 91.67%.
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Jose's car can drive 12 miles on each gallon of gas. How many gallons will he need to drive 3,298 miles?
Divide total miles by miles per gallon.
3298 / 12 = 274.83 gallons. ( Round the answer as needed).
Answer:
275 gallons of gas
Step-by-step explanation:
3298 divided by 12 = 274.83333
and then round that = 275
If two triangles have equal perimeters, then they could also have which of the following? Select all that apply.
equal heights
equal bases
equal volumes
equal areas
Answer:
Equal heights, equal bases, and equal areas.
Step-by-step explanation:
Write an equation to represent each situation.
Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95.
Blueberries are $4.99 a pound. Jada buys p pounds of blueberries and pays dollars.
Blueberries are d dollars a pound. Lin buys q pounds of blueberries and pays t dollars.
Noah earned n dollars over the summer. Mai earned $275, which is $45 more than Noah did.
Noah earned v dollars over the summer. Mai earned m dollars, which is 45 dollars more than Noah did.
Noah earned w dollars over the summer. Mai earned x dollars, which is y dollars more than Noah did.
A) We are told that cost of blueberries is $4.99 a pound.
Now, Diego buys b pounds of blueberries and pays $14.95.
Since 1 pound costs $4.99, then b pounds will cost $4.99b
Since he paid $14.95, then the equation is;
$4.99b = $14.95
B) We are told that cost of blueberries is $4.99 a pound.
Now, Jada buys p pounds of blueberries and pays $c.
Since 1 pound costs $4.99, then p pounds will cost $4.99p
Since he paid $c, then the equation is;
$4.99p = $c
C) We are told that cost of blueberries is $d a pound.
Now, Lin buys q pounds of blueberries and pays $t.
Since 1 pound costs $d, then q pounds will cost $qd
Since he paid $t, then the equation is;
$qd = $t
idk rest
Answer:
I am doing the last 3
Step-by-step explanation:
1. 275 - 45 = n
2. v + 45 = m
3. x - y = w
You sells It in Dest for will 9 $13000 bond $13 161 currently. mature in 6 6 years. thut Yield to maturity is Q What is the coupon rate? a) 11,987. b 16,28%. c) 18,61%. d) 14,32%
The coupon rate of the bond is 9.04% as calculated in the main answer.
Given:Selling price of bond= $13000Maturity value= $13161Time to maturity= 6 yearsThe yield to maturity of the bond is not given.Coupon rate refers to the rate of interest that is paid on the face value of the bond.
The formula to calculate the coupon rate is as follows: Coupon rate = (Annual coupon payment / Face value of the bond) x 100%The main answer to the given problem is as follows:We can find the annual coupon payment by using the formula as shown below:
Annual coupon payment = Yield to maturity x Face value of the bondSubstituting the given values, we getAnnual coupon payment = Yield to maturity x $13161Let the yield to maturity be ‘y’.Annual coupon payment = y x $13161We are given that the selling price of the bond is $13000
. Therefore, using the formula for yield to maturity, we can find the yield to maturity as shown below: 13000 = Annual coupon payment / (1+y/2)⁶ + $13161 / (1+y/2)¹²Simplifying the above expression,
we get a quadratic equation as shown below:2y² + 35y – 629 = 0On solving the above equation, we get y = 0.090398 or y = -17.540398We can ignore the negative value of ‘y’.
Therefore, the yield to maturity of the bond is 9.04%. Substituting this value in the formula for annual coupon payment,
we get Annual coupon payment = 9.04% x $13161. Annual coupon payment = $1189.72Using the formula to calculate the coupon rate, we get:
Coupon rate = (Annual coupon payment / Face value of the bond) x 100%Coupon rate = ($1189.72 / $13161) x 100%Coupon rate = 9.04%Therefore, the coupon rate of the bond is 9.04%.Option A - 11.987
The coupon rate of the bond is 9.04% as calculated in the main answer.
Therefore, the correct option among the given options is (A) 11.987. The solution to the given problem is explained in detail.
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Please help fast!!!!
