Answer:
2nd one is 4.48
Step-by-step explanation:
Solve for b. 3(b + -2-8=-5 what is the answer?
Equation/Question:
Solve for b. 3(b + -2)-8=-5 what is the answer?
Answer/Steps to answer:
1.Simplify b+-2 to b−2.
3(b−2)−8=−5
2. Add 8 to both sides.
3(b-2)=-5+8
3. Simplify -5+8 to 3.
3(b-2)=3
4. Divide both sides by 3.
b-2=1
5. Add 2 to both sides.
b=1+2
6. Simplify 1+2 to 3.
b=3
Done by NeighborhoodDealer
Lei has a bag full of marbles. She draws one marble from the bag, notes the color, and then returns the marble to the bag. She repeats this process and makes a table with the results.
If there are 500 marbles in the bag, how many of them are most likely green?
Answer:
100000 olacak iyi dersler
Use trigonometric identities to simplify each expression.
1/cot^2 (x) - 1/cos^2(x)
Answer:
- 1
Step-by-step explanation:
[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]
[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]
Hope that helps!
By using trigonometric identities, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
What are trigonometric identities?"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."
Given expression
[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
We know the trigonometric identity
[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]
= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]
= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]
We know the trigonometric identity
[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]
= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]
= -1
Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
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Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
What is 36 over 45 in simplest form
Answer:
4 over 5
Step-by-step explanation:
36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5
Alejandro makes cafe con leche using 2 parts string cofee and 3 parts whole milk
Answer: say what now?
Step-by-step explanation:
16, excursionistas tienen Proviciones Para
12 dias, si al grupo se
agregan 8 Personas
& cuantas dias duraran esas Proviciones?
y=
Answer:
para 10 dias
Step-by-step explanation:
espero te sirva
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
More about the Algebra link is given below.
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The perimeter of a regular decagon is 355m.
State the length of one of its sides.
35.5m
Step-by-step explanation:
355m÷10=35.5m answer
ax + 7 = 2x + b
Find x
Answer:
x = [tex]\frac{b-7}{a-2}[/tex]
Step-by-step explanation:
Given
ax + 7 = 2x + b ( subtract 2x from both sides )
ax - 2x + 7 = b ( subtract 7 from both sides )
ax - 2x = b - 7 ← factor out x from each term on the left side
x(a - 2) = b - 7 ← divide both sides by (a - 2)
x = [tex]\frac{b-7}{a-2}[/tex]
25300 rounded to the nearest 100
Answer:
25,300
Step-by-step explanation:
Its already rounded.
There are 60 seventh-grade students in William's school. The students need to choose someone to wear the mascot costume on field day. Huey and Sal are texting about it. Huey: We can give everyone a number from 1 to 60. The we can roll 10 number cubes and add it to the results. The person whose number is equal to the sum wears the costume. Sal: That doesnt seem fair how about this? Everyone gets a number from 0 to 59. Put blocks numbered 0 to 5 in a bag. In another bag, put blocks numbered 0 to 9. Pick a block from the first bag for the tens digit and a block from the second bag for the ones digit. A. Is Huey's plan unfair as Sal claims? If so, why is it unfair? B. Is Sal's plan fair or unfair? Explain your answer. HURRY ANSWERING THIS PLS THIS THING DUE BEFORE 11:59PM
Answer:
Step-by-step explanation:
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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob
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help me with this mathematic problem
Answer:
I dont know
Step-by-step explanation:
principal is 5000 rate p.a. is 8 percent and time 1year
Answer:
5400
Step-by-step explanation:
Given data
P= 5000
r= 8%
t= 1 year
The simple interest expression is given as
A= P(1+rt)
Required
The final amount A
substitute
A= 5000(1+0.08*1)
A= 5000*1.08
A= 5400
Hence the final amount 5400
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Not that hard, will give brainlist if correct
Answer: y = f(x - 4) - 1, lower left corner
=============================================================
Explanation:
Let's focus on only the left-most points of each curve
For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)
To go from (-7,0) to (-3,-1), we will do two things
Shift 4 units to the rightShift 1 unit downThis can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.
In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.
The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.
Overall, we go from y = f(x) to y = f(x - 4) - 1
Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.
Triangles multiple choice!!
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABC
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² + AC² = BC² , substitute values
5² + AC² = 13²
25 + AC² = 169 ( subtract 25 from both sides )
AC² = 144 ( take the square root of both sides )
AC = [tex]\sqrt{144}[/tex] = 12
Since the triangles are congruent then corresponding sides are congruent, then
DE = AC = 12 inches → B
How much money does Bob the Brick-layer need for his material costs?
He can lay 100 bricks in an hour. He charges $150 per hour for brick laying,
What is the total cost for Bob to do the job?
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between C(-5,-1) and D(0,3) is
[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]
[tex]CD=\sqrt{25+16}[/tex]
On further simplification, we get
[tex]CD=\sqrt{41}[/tex]
[tex]CD=6.40312424[/tex]
[tex]CD\approx 6.40[/tex]
Therefore, the distance between C and D is 6.40 units.
Help asappp please !!!
which fraction is equivalent to 2/6
Answer:
1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.
Step-by-step explanation:
The equivalent fractions of the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .
The fractions which have the same value but can have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions
The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.
Equivalent fraction can be obtained by multiplying numerator and denominator with the same number .
Example : equivalent fraction of [tex]\dfrac{5}{8}[/tex] is
[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]
According to the data provided in the problem
[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]
Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]
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Which does NOT represent the quotient of 17 ÷ 10? A. 1 7/10 B. 1 R7 C. 10/17 D. 1.7
Answer:
The answer is C
Step-by-step explanation:
Answer:
C. 10/17
Step-by-step explanation:
10/17 is less than the correct answer 1.7 so it is C.
The diagram shows a prism.
The cross section of the prism is a right-angled triangle.
The lengths of the sides of the triangle are 8 cm, 15 cm and 17 cm.
The length of the prism is 20 cm.
Work out the total surface area of the prism.
Diagram NOT
accurately drawn
8 cm
17 cm
20 cm
15 cm
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
Find the unit rate.
1/2 pound : 5 days
Answer:
= 0.2 pound per day
Step-by-step explanation:
This is a fraction equal to
1 pound ÷ 5 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
1 pound ÷ 5
5 days ÷ 5
=
0.2 pound
1 day
=
0.2 pound
day
= 0.2 pound per day
PLZ HELP!!!! I JUST NEED AN ANSWER NOT AN EXPLANATION!!! I WILL GIVE BRAINLIEST TO THE CORRET ANSWER
Answer:
40/140 ≈ 0,2857 corresponds 28,57%.
B divided by 8= 4
What is B.
Answer
The answer is 32
Step-by-step explanation:
32/8=4
Answer:
b = 32
Step-by-step explanation:
b/8 = 4
Multiply each side by 8
b/8 * 8 = 4*8
b = 32
Find the 7th term in the
sequence
-1, 2, -4, 8,...
Answer:
every other term is negative, so it would be -64
Step-by-step explanation:
hope it helps!
[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!
Answer:
2/3
Step-by-step explanation:
[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]
1.) Tyler runs 2/3 of a mile in 8 minutes. At this speed, how long will it take him to run one mile?
Answer:
12 minutes
Step-by-step explanation:
Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes
Answer:
1 mile in 12 minutes
Step-by-step explanation:
2/3 mile in 8 minutes
divide by 2
1/3 mile = 4 minutes
multiply by 3
1 mile in 12 minutes
The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Answer:
:)
Step-by-step explanation:
It would cost $150 for a party of 9 people and it would cost $260 for 20 people
HELP ASAP!! Will give brainliest to first correct answer
Answer:
m(∠KJL) = 54°
Step-by-step explanation:
It's given that two sides of ΔJKL are equal in measure.
Therefore, angles opposite to the equal sides will be equal.
By triangle sum theorem in ΔJKL,
m∠KJL + m∠KLJ + m∠JKL = 180°
2(m∠KJL) + 72° = 180°
2(m∠KJL) = 180° - 72°
m∠KJL = [tex]\frac{108}{2}[/tex]
m(∠KJL) = 54°