Answer:
-9.661
Step-by-step explanation:
In the given equation, a and b are negative. The values of a and b are given. If you insert the values into the given formula, the values become negative because of "-" in front of the a and b values.
-a + (-b) = -6.05 + (-3.611)
Because the second value is negative, the plus sign references to adding BOTH negative values together so it is just the same as saying:
-6.05 - 3.611
This gives you -9.661
Hope this helps!
A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 340^\circ340
∘
340, degrees.
What is the length of the arc?
Complete question:
A circle has a radius of 3 and a central angle of 340 degrees, what is the arc length? Round to the nearest tenth place.
Answer:
length of arc ≈ 17.8 (to the nearest tenth)
Step-by-step explanation:
To find the length of the arc we use the formula for finding length of an arc.
length of arc = ∅/360 × 2πr
where
∅ = central angle
r = radius
∅ = 340°
r = 3
length of arc = ∅/360 × 2πr
length of arc = 340/360 × 2 × π × 3
length of arc = 340/360 × 6π
length of arc = 2040π/360
length of arc = 204π/36
length of arc = (204 × 3.14)/36
length of arc = 640.56/36
length of arc = 17.7933333
length of arc ≈ 17.8 (to the nearest tenth)
Answer:
It is 17/3 pi
Step-by-step explanation:
I know this is already answered, but I have this same question on Khan Academy, and I entered the number on the answer here, but it says the length of the arc is 17/3 pi. And, yes, you can put the 'pi' symbol in Khan, it accepts it as an answer.
The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than 24 times the number of $10 bills. How many bills of each kind are there?
Answer:
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
Step-by-step explanation:
There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:
[tex]x + 5*y + 10*z = 227[/tex]
We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:
[tex]y = z + 6\\x = 2 + 24*z[/tex]
Applying these values on the first equation, we have:
[tex]2 + 24*z + 5*(z + 6) + 10*z = 227\\2 + 24*z + 5*z + 30 + 10*z = 227\\39*z + 32 = 227\\39*z = 227 - 32\\39*z = 195\\z = \frac{195}{39}\\z = 5[/tex]
Applying z to the formulas of y and x, we have:
[tex]y = 5 + 6 = 11\\x = 2 + 24*5 = 122[/tex]
There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.
If the measure of AngleB is 40°, what measures can AngleA and AngleC be? Select all that apply.
20° and 30°
30° and 110°
55° and 85°
60° and 90°
70° and 70°
Answer:
30° and 110°
55° and 85°
70° and 70°
Step-by-step explanation:
Given that:
[tex]\angle B = 90^\circ[/tex]
To find the possible values for the other two angles [tex]\angle A\ and\ \angle C[/tex].
Property of a triangle is that the sum of all three angles is always equal to [tex]180^\circ[/tex].
OR
[tex]\angle A +\angle B +\angle C = 180^\circ\\\Rightarrow \angle A + 40^\circ + \angle C = 180^\circ\\\Rightarrow \angle A + \angle C = 180^\circ - 40^\circ\\\Rightarrow \angle A + \angle C = 140^\circ[/tex]
So, the sum of [tex]\angle A\ and\ \angle C[/tex] should be [tex]140^\circ[/tex]. We can select our answers according to this condition.
Option 1: 20° and 30°: the sum is [tex]50^\circ \neq 140^\circ[/tex] hence, not correct.
Option 2: 30° and 110°: the sum is [tex]140^\circ[/tex] hence, correct.
Option 3: 55° and 85°: the sum is [tex]140^\circ[/tex] hence, correct.
Option 4: 60° and 90°: the sum is [tex]150^\circ \neq 140^\circ[/tex] hence, not correct.
Option 5: 70° and 70°: the sum is [tex]140^\circ[/tex] hence, correct.
Hence, the possible answers can be:
30° and 110°
55° and 85°
70° and 70°
Answer:
30º and 110º
55º and 85º
70º and 70º
Step-by-step explanation:
got it right on edge. !
Jessi sold half her comic books. Then, she bought 9 more. She now has 11 total. How many did she begin with?
Answer:X+9=11
9-9|11-9
X=2
Step-by-step explanation:When the beginning number is unknown we use “x” to be a place holder. If she got 9 more books we would add 9 to the equation. Finally if 11 is the total, the end of the equation would equal 11.
-5/6×5/7-1/2×4/5-1/12×5/7
Answer:
What aspect of culture does the following excerpt from "What For" by Garrett Hongo celebrate?
I lived for stories about the war
my grandfather told over hana cards,
slapping them down on the mats
with a sharp Japanese kiai.
Step-by-step explanation:
Answer:
[tex]-\frac{443}{420}[/tex]
Step-by-step explanation:
what is = to 85
if u do i will rate u brainliest
Answer:
85 - 85 = 0
Step-by-step explanation:
so answer is 0
hope this helps u
Answer:
85 - 85 = 0
Step-by-step explanation:
hope this helps u
∠MPR is an acute angle and PQ is in the interior of ∠MPR. ∠QPR must be obtuse acute right straight
Answer:
Acute
Step-by-step explanation:
If the angle is already acute, and the line PQ is inside the acute angle. The new angle has to be less than the first angle and is therefore acute as well.
Solve for x. mx + ny = p A.x=p+ny/m B. mx=p−ny C. x=p−ny/m D.x=m(p−ny)
Answer:
C. x=(p−ny)/m
Step-by-step explanation:
mx + ny = p
Subtract ny from each side
mx + ny -ny= p -ny
mx = p-ny
Divide each side by m
mx/m = (p-ny)/m
x=(p−ny)/m
A box has 144 ounces of grapes. How many 16-ounce packages of grapes can be made?
Answer:9 packets
Step-by-step explanation:
You simply divide 144 by 16: )
Answer:
9 packages
Step-by-step explanation:
Take 144 ounces and divide by 16 ounces per package
144/16 = 9
You will get 9 packages
Which of the following could be represented using a continuous probability distribution?
a) The frequency for which different sized flat rate boxes are purchased at a post office
b) The frequency of temperatures throughout the day in Florida on April 25th
c) The frequency of different scores achieved on an Algebra test in a class of 30 students
d) The number of students who use the internet for at least one hour after school
Answer:
B. The frequency of temperatures throughout the day in Florida on April 25th.
Answer:
b) The frequency of temperatures throughout the day in Florida on April 25th
Step-by-step explanation:
Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.
Answer:
[tex]t_7 =\frac{5}{729} [/tex]
Step-by-step explanation:
We are given that:
First term (a) = 5
common ratio (r) =[tex]\frac{1}{3}[/tex]
The nth term of a geometric sequence is given as:
[tex]t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}[/tex]
Graph the point that has the coordinates (4 1/2, 2 1/2).
Answer:
Graph is below
Step-by-step explanation:
I graphed the point on the graph below.
The graph that has the coordinate ( [tex]-4\frac{1}{2}[/tex] , [tex]2\frac{1}{2}[/tex]) is given.
What are the coordinates?Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.
First we transform fraction to improper fraction.
( [tex]-4\frac{1}{2}[/tex] , [tex]2\frac{1}{2}[/tex])
= (-7/2 , 5/2)
Then further simplified to decimals,
( [tex]-4\frac{1}{2}[/tex] , [tex]2\frac{1}{2}[/tex])
= (-3.5 , 2.5)
Now to draw in the graph take x = -3.5 and y = 2.5
And draw lines from both of the point and see if there is any intersecting point.
The intersecting point is coordinate point.
Therefore, the intersecting point is coordinate point.
To learn more about the coordinates;
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Which set of ordered pairs goes with y = 2cos x ?
Answer:
Set of ordered pairs = { ( 0 , 2 ), ( π / 2 , 0) , ( π , -2) , ( 2 π , 2)}
Step-by-step Explanation:
Given y = 2 cos x
i) Let x =0 ⇒ y = 2 cos (0) = 2
The ordered pair ( 0 , 2 )
ii) Let x = π / 2 ⇒ y = 2 cos (π/2) = 2(0) =0
The ordered pair ( π / 2 , 0)
iii) let x = π ⇒ y = 2 cos(π) = 2 (-1) = -2
The ordered pair ( π , -2)
iv)
let x = 2π ⇒ y = 2 cos(2π) = 2 (1) = 2
The ordered pair ( 2 π , 2)
Set of ordered pairs = { ( 0 , 2 ), ( π / 2 , 0) , ( π , -2) , ( 2 π , 2)}
A deer and bear stumble across a sleeping skunk. They run away from it in opposite directions- the deer at the speed of 8 feet per second and the bear at the speed of 5 feet per second. How long will it be until the pets are 156 yards apart
Answer:
12 sec
Step-by-step explanation:
After 1 sec distance between the deer and the bear = (8 + 5) = 13 feet.
After x sec distance is 13x.
13x = 156
x= 156/13=12 sec
Answer:
36
Step-by-step explanation:
First we will add the bear and the deer's speed. 8+5=13. now we will divide by the distance, but the speed is in feet not yards, so multiply 156 by 13=468/ then do 13x=468 so x is equal to 36.
Provide work and answer for 3 and 4
Answer:
Step-by-step explanation:
The geometric mean has a set up it must follow in order to "work". If you look at #3, x is a side of the smaller triangle that has a base of 3, but it's also a side of the large triangle that has a base of 3 + 8 which is 11. That means that x is your geometric mean. Setting up the geometric mean will look like this:
[tex]\frac{3}{x}=\frac{x}{11}[/tex]
where x is the geometric means and the 3 and the 11 (the positions they are in) are the geometric extremes.
Now we cross multiply to solve for x:
[tex]x^2=33[/tex] and
[tex]x=\sqrt{33}[/tex]
That's the length of x in #3.
For #4, x is the side of the small triangle with the base of 7 and it's also the side of the large triangle with the base of 7 + 13 which 20. That means that x is the geometric mean. Setting up like above:
[tex]\frac{7}{x}=\frac{x}{20}[/tex] and
[tex]x^2=140[/tex] so
[tex]x=\sqrt{140}[/tex]
use long division to find the quotient below (30x^3+4x^2-150) / (6x-10)
A.5x^2+9x+15
B.5x^2-14x+15
C.5x^2+14x+15
D.5x^2-9x+15
Answer:
The answer is
A[tex].5x^2+9x+15[/tex]
Step-by-step explanation:
kindly find attached the solving for proper understanding and solution flow.
Given Data
the divisor= [tex]6x-10[/tex]
dividend= [tex]30x^3+4x^2-150[/tex]
firstly for us to perform the division we need to re write the dividend and include the missing coefficient of x
dividend [tex]=30x^3+4x^2+0x-150[/tex]
Figure ABCD is a parallelogram.
What is the value of x?
1. 6
2.7
3.8
4.9
Please help fast!!!
Answer:
x = 7
Step-by-step explanation:
Parallel sides have to be the same length
5x+3 = 38
Subtract 3 from each side
5x+3-3 = 38-3
5x = 35
Divide by 5
5x/5 = 35/5
x = 7
What is the product?(4x)(-3x^8)(-7^3)
Answer:
4116x^9
Step-by-step explanation:
(4x)(-3x^8)(-7^3)
(-12x^9)(-343)
4116x^9
pls help for brainliest answer
Answer:
198.5 cm²
Step-by-step explanation:
The figure is composed of a central rectangle and 2 congruent semi- circular ends, equivalent to 1 circle with diameter = 10 cm, thus radius of 5 cm
length of rectangle = 22 - 5 - 5 = 12 cm, thus
area of rectangle = 10 × 12 = 120 cm²
area of circle = πr² = π × 5² = 25π ≈ 78.5 cm² ( to 1 dec. place )
Total area = 120 + 78.5 = 198.5 cm²
Levi drove 242 miles in 4 hours. On average, how fast did he drive in miles per hour? Express your answer in simplest form.
Answer:
see below
Step-by-step explanation:
Take the miles and divide by the hours
242/4 =
divide the top and bottom by 2
121/2 miles per hour as an improper fraction
60 1/2 miles per hour as a mixed number
What is the product of (x - 9) and (2x - 7)
Answer:
[tex]2x^2-25x+63[/tex]
Step-by-step explanation:
You have to multiply both terms from the first one by both term in the second on, it'll look like this:
[tex](x-9)*(2x-7)=(x*2x)+(x*-7)+(-9*2x)+(-9*-7)\\(x-9)*(2x-7)=(2x^2)+(-7x)+(-18x)+(63)[/tex]
Once you combine like terms it'll be the final answer:
[tex](x-9)*(2x-7)=2x^2-25x+63[/tex]
You can use foiling to get any other questions like this:
Need help what’s the answer ASAP
Answer:
V = 6.26 (2.5)
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = (2.5)^3
V = 6.26 (2.5)
Solve for u.
4u = 16u + 3(–3u − 5)
u =
Answer:
u = 5
Step-by-step explanation:
→Distribute the 3 to (-3u - 5):
4u = 16u - 9u - 15
→Add like terms:
4u = 7u - 15
→Subtract 4u from both sides:
0 = 3u - 15
→Add 15 to both sides:
15 = 3u
→Divide both sides by 3:
5 = u
Answer:
[tex] \boxed{u = 5} [/tex]
Step-by-step explanation:
[tex] = > 4u = 16u + 3( - 3u - 5) \\ \\ = > 4u = 16u + (3 \times ( - 3u)) - (3 \times 5) \\ \\ = > 4u = 16u - 9u - 15 \\ \\ = > 4u = 7u - 15 \\ \\ = > 4u - 7u = - 15 \\ \\ = > \cancel{- }3u = \cancel{- }15 \\ \\ = > 3u = 15 \\ \\ = > u = \frac{15}{3} \\ \\ = > u = 5[/tex]
What is the area of this shape ?Please help I will make you branliest
There are two rectangles.
1= 8 x 4 = 32
2= 2x6 = 12
Total = 32 + 12 = 44 square km
Answer:
44 sq. KM
Step-by-step explanation:
To find the total area, we have to add the area's of each rectangle. For the bigger rectangle, we will go base times height.
[tex](8)(4)=32[/tex]
For the smaller rectangle, the width is 2 and height is 6 so we will multiply those.
[tex](2)(6)=12[/tex]
Now we have to add the two areas to get the grand area.
[tex]32+12=44[/tex]
The area is 44 square km
Please help me I really need help
Answer:
83/10 ; 9.01 ; 97/10 ; 9.87
Step-by-step explanation:
Simplify the fractions, and then you can easily see the answer.
Answer: 83/10, 9.01, 97/10, 9.87
Step-by-step explanation:
We can choose to either write all the numbers indecimals or fractions. Let's choose decimals.
83/10=8.30
97/10=9.70
9.87
9.01
Now that we know the decimals, we can put them in order.
8.30, 9.01, 9.70, 9.87
Though this is correct, it is not the answer we are looking for. When we were given the problem, we had fractions. We must change the decimals back into fractions.
83/10, 9.01, 97/10, 9.87
This is our correct answer.
.
There are 25 questions in a quiz.
Each correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
vach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
vach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
2h
Step-by-step explanation:
Question
.
There are 25 questions in a quiz.
Each correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Which expression is equivalent to (cd)5?
A) C5+d5
B) c5/d5
C) c5d5
D) C5-d5
Answer:
C^5d^5
Step-by-step explanation:
The equivalent expression is,
⇒ c⁵ × d⁵
We have to given that,
An expression is,
⇒ (cd)⁵
Since, A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Now, Solve the expression by rule of exponent as,
⇒ (cd)⁵
⇒ c⁵ × d⁵
Therefore, The correct equivalent expression is,
⇒ c⁵ × d⁵
Learn more about the multiplication visit:
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A piece of string is 24cm Long and is cut in to three pieces in such a way that the second piece is twice as Long as the first and the third is 1 cm shorter than the first Denoting the first piece by x cm Find in term :a)the second piece and b) the Thursday piece
Answer:
a) 12 1/2 cm
b) 5 1/4 cm
Step-by-step explanation:
The piece of string is 24 cm long.
It is cut in three pieces.
Let the length of the first piece be x.
The second piece is twice as long as the first. This means that the length of the second piece is 2x.
The third is 1 cm shorter than the first. This means that the length of the third piece is x - 1
Therefore:
x + 2x + x - 1 = 24
4x - 1 = 24
4x = 25
x = 25 / 4 = 6 1/4cm
Therefore, the length of the second piece will be:
2 * 25/4 = 25/2 = 12 1/2 cm
The length of the third piece will be:
6 1/4 - 1 = 5 1/4 cm
Tom rolls a fair dice and flips a fair coin. What is the probability of obtaining a 1 and a tail? Give your answer in its simplest form
Answer:
P(a&b) = 1/12 or 0.08% chance.
Step-by-step explanation:
P(a) = 1/2
P(a') = 1/2
P(b) = 1/6
p(b')= 5/6
P(a&b)= P(a) * P(b)
= 1/2 * 1/6
ANSWER WILL BE 1/12 YOU TIME 1/2 *1/6 =1/12
find the surface area
Answer:
101[tex]cm^{2}[/tex]