Answers
Answer:
[tex] a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]
Step-by-step explanation:
[tex] {3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]
Step-by-step explanation:
Step-by-step explanation:
\begin{lgathered}{3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}\end{lgathered}
3
5
6
=
5
3
6
equatingitwith
c
a
b
wefind
a=
3
b=
6
c=
5
Related Questions
a triangle has it side as r is 53 degree which is hypotenuse t opposite which is 14 s is adjacent find r and s
Answers
Answer:
sin(53°) = t/r
= 14/r
r = 14/sin(53°)
r = 17.53
tan(53°) = t/s
= 14/s
s = 14/tan(53°)
s = 10.55
What is the correct expanded form and value of 4 cubed?
4 + 4 + 4 = 12
4 times 4 times 4 = 64
3 + 3 + 3 + 3 = 12
3 times 3 times 3 times 3 = 81
Answers
Answer:
Option 2
Step-by-step explanation:
=> [tex]4^3[/tex]
=> 4 × 4 × 4
=> 64
Answer:
4 times 4 times 4 = 64
Step-by-step explanation:
When a number is cubed, it is multiplied by itself 3 times.
For example, [tex]x^3=x*x*x[/tex].
In our case, it is [tex]4^3=4*4*4[/tex] which would equal [tex]16*4=64[/tex]
Your answer is "4 times 4 times 4 = 64"
La base de un rectángulo es cuatro veces su altura. Hallar el área del rectángulo si su perímetro es 120cm a) 476 b) 376 c) 476 d) 576
Answers
Answer: d) 576
Step-by-step explanation:
Datos:
Altura: h Base (b): 4h (cuatro veces su altura [h])El perímetro de un rectángulo es igual a la suma de todos sus lados:
Perímetro = 2h+2b
Reemplazando b=4h
120 =2h+ 2(4h)
Despejando h:
120 = 2h+8h
120 =10h
120/10=h
12 cm=h
Base = 4h =4(12) =48 cm
Área de un rectángulo (A)= base x altura
A = 48 x 12 = 576 cm2
I need this answered quickly. What is the value of d to the nearest hundredth?
Answers
Answer:
6.48
Step-by-step explanation:
you have to use the sin rule
Answer:
6.48
Step-by-step explanation:
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answers
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
type < = to mean <
or > = to mean .
Jake began the day with 6 dollars in his wallet. Then he withdrew some
money from the bank and added that to what was already in his wallet. After
doing that, he had 31 dollars in his wallet.
Answers
Answer:
He added $25 to the contents of his wallet.
Step-by-step explanation:
Here's what's happening, symbolically:
$6 + m = $31, or m = $25. Jake added $25 (represented by m) to the contents of his wallet.
In a randomly generated list of numbers from 0 to 6 what is the chance that each number will occur
Answers
Answer:
In fractions, each number has a 1/6 chance of occuring. In decimals, that is around 16.6 repeating percent.
Answer:
1/7
The correct answer is 1/7
What is a system of equations for the following situation? A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.
Answers
Answer:
5 children & 7 adults
Step-by-step explanation:
6a+10b=100$
a=5
b=7
(6×5)+(10×7)=30$+70$=100$
The required system of equation is given be x + y = 12 and 10x +6y = 100.
A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.
The equation is the relationship between variables and is represented as an example y = x +2 of a polynomial equation.
Let the number of adults be x and the number of a child be y.
Total people = x + y
20 = x + y - - - - -(1)
The cost to go to the movie is $10 for an adult and $6 for a child.
10x + 6y = total cost
The total cost for the group was $100.
10x + 6y = 100 - - - - (2)
Equations 1 and 2 represent the required system of equations.
Thus, the required system of equation is given be x + y = 12 and 10x +6y = 100.
Learn more about equation here:
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1. Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for
5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then
find Martha's profit?
Answers
Answer:
Numerical expression to represent this situation : 41 = 20 + P
Martha's profit is $21
Step-by-step explanation:
Total cost price for earrings for Martha = total money invested in material to make earrings = $20
No. of ear rings made = 10
No. of earrings sold for $5= 7
Total Price for these 7 earrings= $5*7 = $35
No. of earrings sold for $2= 3
Total Price for these 3 earrings= $2*3 = $6
Total price for all of the ten earrings = $35+$6 = $41
We know that
selling price = cost price + profit
Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings
let total profit be P
41 = 20 + P
Thus,
P = 41-20 = 21
numerical expression to represent this situation : 41 = 20 + P
Thus, Martha's profit is $21
pls Answer it I will Mark BRAIN LIST.
Answers
Answer:
cosA = 40/41
tanA = 9/40
Step-by-step explanation:
Step 1: Find the other leg value
a² + b² = c²
9² + b² = 41²
b² = 41² - 9²
b = √1600
b = 40
Step 2: Draw out your triangle.
When you do so, you should see the cosA (adjacent over hypotenuse) is 40/41 and tanA (opposite over adjacent) is 9/40.
Triangle CBA
Length of AC = 40 (Leg)
Length of BC = 9 (Leg)
Length of AD = 41 (Hypotenuse)
cosA = AC/AB = 40/41
tanA = CB/AC = 9/40
Answer:
Cos A = 40/41
Tan A = 9/40
Step-by-step explanation:
Sin A = [tex]\frac{perpendicular}{hypotenuse}[/tex] = [tex]\frac{9}{41}[/tex]
So,
Perpendicular = 9 , Hypotenuse = 41
So, Finding base by Pythagorean Theorem
=> [tex]c^2=a^2+b^2[/tex]
=> [tex]a^2 = c^2-b^2\\[/tex]
=> [tex]a^2 = 41^2-9^2[/tex]
=> [tex]a^2 = 1681 - 81\\a^2 = 1600[/tex]
Taking sqrt
=> base = 40
Now,
Cos A = [tex]\frac{base}{hypotenuse} = \frac{40}{41}[/tex]
Tan A = [tex]\frac{perpendicular}{base} = \frac{9}{40}[/tex]
What is the value of x in the diagram below?
Answers
Answer: C
Step-by-step explanation:
IT is dividing by 6
The value of x in the given diagram of two similar triangle is 9 units.
Let us consider the name of two triangles be ABC and PQR.
Such that,
In triangle ABC,
AB = 12 , BC = 54 , m∠BAC = 90° and marked angle is ∠ABC .
In triangle PQR,
PQ = 2 , QR = x, m∠QPR = 90° and marked angle is ∠PQR .
In triangle ABC and PQR we have,
m∠BAC = 90° = m∠QPR
m∠ABC = m∠PQR (given )
By AA corollary,
Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.
Corresponding sides of the similar triangle are in proportion.
AB / PQ = BC / QR
⇒ 12 / 2 = 54 / x
⇒ 12x = 54 × 2
⇒ x = ( 54 × 2 ) / 12
⇒ x = 9
Therefore, the value of x in the given triangle is equal to 9 units.
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At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
Answers
Answer:
x = -2
Step-by-step explanation:
The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.
What is the decimal multiplier to decrease by 60%?
Answers
Answer:
0.4
Step-by-step explanation:
100(0.4)=40
Let p and q be real numbers such that the roots of
x^2 + px + q = 0 are real. Prove that the roots of
x^2 + px + q + (x + a)(2x + p) = 0 are real, for any real number a.
Answers
Answer:
Step-by-step explanation:
Known fact: all roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] are real if and only if
discriminant [tex]D = b^2 - 4ac \geq 0.[/tex]
We know that all roots of [tex]x^2 + px + q = 0[/tex] are real. We can derive from this condition that
[tex]p^2 - 4q \geq 0[/tex]. (<----------- HERE)
Let's do some simplification of second equation:
[tex]x^2 + px +q + (x + a)(2x + p) = 3x^2 + x(2p + 2a) + ap + q.[/tex]
So we want according to Known fact prove that discriminant of equation
[tex]3x^2 + x(2p + 2a) + ap + q = 0[/tex] is greater or equal zero.
[tex]D = (2p + 2a)^2 - 4\cdot 3 (ap + q) = 4(p^2 + a^2 + 2ap - 3ap - 3q) = 4(a^2 - ap + p^2 - 3q)[/tex].
To prove that [tex]D \geq 0[/tex], we can view D as polynomial of a:
[tex]D(a) = 4a^2 - a(4p) + 4(p^2 - 3q)[/tex].
Known fact #2: if quadratic polynomial have positive greatest coefficient and it's discriminant [tex]\leq 0[/tex] then polynomial always positive.
So remains to prove that
[tex](4p)^2 - 4\cdot 4\cdot 4(p^2 - 3q) \leq 0[/tex]
lets divide both side by [tex]4^2[/tex]:
[tex]p^2 - 4(p^2 - 3q) \leq 0[/tex]
[tex]-3p^2 + 12q \leq 0[/tex]
divide by 3
[tex]-p^2 + 4q \leq 0[/tex]
transfer terms to the other side:
[tex]0 \leq p^2 - 4q[/tex]
But we know that from "(<----------- HERE)"!!!
So Q.E.D.
What is the value of n in the equation 1/2 (n-4) -3 = 3 - (2n+3)
Answers
Answer:
n = 2
Step-by-step explanation:
Expand the brackets.
1/2n - 2 - 3 = 3 - 2n - 3
Add or subtract terms.
1/2n - 5 = -2n
Add 5 and 2n on both sides.
1/2n + 2n = 5
5/2n = 5
Multiply both sides by 2/5.
n = 5 × 2/5
n = 10/5
n = 2
Find the equation of the line through point (2,−4) and parallel to −6x+2y=4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=
Answers
Answer:
y = 3x - 10
Step-by-step explanation:
Step 1: Rewrite 1st equation
2y = 6x + 4
y = 3x + 4
Step 2: Find 2nd equation
y = 3x + b
-4 = 3(2) + b
-4 = 6 + b
b = -10
Step 3: Rewrite 2nd equation
y = 3x - 10
And we have your parallel equation!
Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?
Answers
Answer:
The new rate would be 3.75%
Step-by-step explanation:
Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.
A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)
New interest rate=4.5%-0.75%=3.75%
Answer: mine was: 4.125%
Step-by-step explanation:
2O POINTS + BRAINLIEST || Which of these scale factors will result in an Enlargement?
A. 0
B. 1/2
C. 1
D.5
Answers
Answer:
D 5
Step-by-step explanation:
Answer:
B. 1/2?
Step-by-step explanation:
please help Multiply -4w(w+2)
Answers
Answer:
-4w² - 8w
Step-by-step explanation:
All you need to do is distribute -4w. That means to multiply -4w to w and 2 separately. When you multiply -4w to w, you will get -4w² and when you multiply -4w to 2, you will get -8w.
the -4w becomes squared and you multiply -4 and 2
Your given side ab with a length of 6 centimeters and side bc with a length of 5 centimeters. The measure of amgel A is 30. How many triangles can you construct using these measurements?
Answers
Answer:
2
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, and sin(A) < 5/6, so there are two possible solutions.
The law of sines tells you that angle C will satisfy ...
sin(C)/ab = sin(A)/bc
sin(C) = ab/bc·sin(A) = 6/5·1/2 = 3/5
The given angle is 30°, so the sum of remaining angles must be less than 150°. There are two possible angles less than 150° that have a sine of 3/5:
C₁ = arcsin(3/5) = 36.87°
C₂ = 180° -arcsin(3/5) = 143.13°
You can construct two triangles with the given measurements.
__
See the attachments for drawings of them.
The answers to this question
Answers
Answer:
See explanation
Step-by-step explanation:
The discriminant is [tex]{b^{2}-4ac }[/tex]
1. 9² - 4(1)(20) = 81 - 80 = 1 so there are 2 solutions
2. (-9)² - 4(3)(-13) = 81 + 156 = 237, so there are 2 solutions
3. The first answer is correct
4. The third answer is correct
Ravi lost 80 dollars from his pocket.
Write a signed number to represent this change.
Answers
Answer:
x - 80
Step-by-step explanation:
Ravi had x dollars in all.
x - 80
the area of a square field is 50625 meter square find its perimeter
Answers
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
need hep now will make brainliest
Answers
1. -25
2. 22
3. 0
4. -34.5
hope this helps!
Answer:
1) negative
2) positive
3) the quotient is 0 which is neither +ve or -ve
4) negative
Step-by-step explanation:
To find the sign of the quotient, you first check the sign of the two numbers..
If the sign of ONE of the numbers is negative and one is positive, then the sign of the quotient will be negative too.
If the sign of BOTH the numbers is negative, it'll also be negative and visa versa
Hope it helps
0.0396 x 10 to the power of 9
Answers
Answer:
Brainliest!
Step-by-step explanation:
0.0396 x 10^9
10^9 = 1,000,000,000
0.0396 x 1,000,000,000 = 39,600,000
Answer:
39600000
Step-by-step explanation:
1) 10^9 = 1000000000
2) 0.0396*1000000000 = 39600000
Graph the inequality.
Answers
Answer:option D is m best guess
Step-by-step explanation:
correct me if im rong
Answer:
its C
Step-by-step explanation:
The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?
Answers
The complete question is as follows.
The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?
(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]
(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]
(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]
(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]
(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h
Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];
Step-by-step explanation: To determine [tex]b_1[/tex]:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = ([tex]b_1 + b_2[/tex])h
[tex]\frac{2a}{h} = b_1 + b_2[/tex]
[tex]\frac{2a}{h} - b_2 = b_1[/tex]
To determine h:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h
To determine [tex]b_2[/tex]
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]
[tex]\frac{2a}{h} - b_1 = b_2[/tex]
Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Answers
Answer:
-10
Step-by-step explanation:
expand: 3x-12>5x+2
subtract 3x and subtract 2 to both sides
-14>2x
which is just
2x<-14
so x<-7.
the only value is -10. :D
Answer:
-10
Step-by-step explanation:
3(x – 4) > 5x + 2
Distribute
3x -12 > 5x+2
Subtract 3x from each side
3x-12-3x > 5x-3x+2
-12 > 2x+2
Subtract 2 from each side
-12 -2 > 2x+2-2
-14 > 2x
Divide by 2
-14/2 > 2x/2
-7 > x
X must be less than -7
-10 is less than -7
Can someone please help me I’m stuck
Answers
Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]
Hope this helps!
The radius of a semicircle is 5 feet. What is the semicircle's diameter?
Answers
Answer:
The diameter of the semicircle is 10 feet.
Step-by-step explanation:
This is because d=r2 or diameter=radius*2
Answer:
Step-by-step explanation:
[tex]Diameter= 2* Radius\\D = 2* 5\\D= 10[/tex]