Answers
Answer:
[tex]3^{\frac{7}{10} }[/tex]
Step-by-step explanation:
[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10
Answer:
Step-by-step explanation:
Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]
[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]
Related Questions
evaluate each algebraic expression for the given values if the variable
[tex](4d)( - 5d)[/tex]
d= -8
Answers
Answer:
1280
Step-by-step explanation:
4d*(-5d)=-20(d)^2, d=-8. - 20*64=1280
Solve the quadratic equation numerically (using tables of x- and y-values).
x^2 +
+ 2x + 1 = 0
x = -1 or x = -1
x= -3 or x = -3
b.I x= -4 or x= -3
d. x = 2 or x = -1
a
C.
Please select the best answer from the choices provided
A
B
ОО
Answers
The best answer from the choices provide is x = -1 or x = -1
Given the expression
[tex]x^2 + 2x + 1 = 0[/tex]
Factorizing the given expression
[tex](x^2 +x)+(x + 1) = 0\\[/tex]
Factor out the common variable from both brackets
[tex]x(x+1)+1(x+1)=0\\(x+1)(x+1)=0\\x+1 \ and \ x+1=0\\x =0-1 \ and \ x=0-1\\x=-1 \ and \ x =-1[/tex]
Hence the best option is x = -1 or x = -1
Learn more about factorization here: https://brainly.com/question/16099992
The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].
We can estimate the roots by a numerical approach, which consists in evaluating the quadratic function ([tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex]) for a set of values of [tex]x[/tex]. We consider the set of values between [tex]-4\le x \le 4[/tex]:
[tex]\,\,\,\,\,\,x \,\,\,\,\,\,\,\,f(x)\\-4\,\,\,\,\,\,\,\,\,\,\,\,9\\-3\,\,\,\,\,\,\,\,\,\,\,\,4\\-2\,\,\,\,\,\,\,\,\,\,\,\,1\\-1\,\,\,\,\,\,\,\,\,\,\,\,0\\.\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\,1\\.\,\,\,1\,\,\,\,\,\,\,\,\,\,\,\,\,4\\.\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,9\\.\,\,\,3\,\,\,\,\,\,\,\,\,\,\,\,\,16\\.\,\,\,4\,\,\,\,\,\,\,\,\,\,\,\,\,25\\[/tex]
According to the previous input, we conclude that roots of the quadratic formula are [tex]x_{1} = x_{2} = -1[/tex].
The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].
Find the principal amount invested if there is $9300 in the account after 5 years and earned 4% simple interest per year.
Answers
Answer:
11314.87379 (This is still rounded).
Step-by-step explanation:
Year 1:
9300*4%=372. 9300+372=9672.
Year 2:
9672*4%=386.88. 386.88=10058.88.
Year 3:
10058.88*4%=402.3552. 402.3552+10058.88=10461.2352.
Year 4:
10461.2352*4%=418.449408. 418.449408+10461.2352=10879.68461
Year 5:
10879.68461*4%=435.1873843. 435.1873843+10879.68461=11314.87379.
Select the expression that represents the following statement: find the sum of 6 and 14 and divide by 4.
a (6 + 14) ÷ 4
b 14 ÷ 4 + 6
c 4 x 4 – 6
d 14 x 6 ÷ 4
Answers
Answer:
A
Step-by-step explanation:
Someone help me out please
Answers
Answer:
254.5
Step-by-step explanation:
Area = πr²
= π×9²
= 81π
= 254.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
Find a recursive rule for the nth term of the sequence.
-7, -42, -252, -1512, ...
Answers
Answer:
-7*6^n
Step-by-step explanation:
The sequence is -7*6^n.
A few examples of this are the following,
ex.)
-7*6^0 = -7
-7*6^1 = -42
-7*6^2 = -252
Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy multiplied the apples by 281893.21 times. Now how many apples does Johnny have. After the faity multiplied the apples a demon can and divided the apples by pi * the square root of 9284. Now how many apples does Johnny have?
Answers
Answer:
1. John still has 3 Apples
2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).
3. If the * is multiplying:
John now has 25937228,2 Apples.
Step-by-step explanation:
Just use the calculator.
số nào sau đây là nghiệm của đa thức x^2-2x+1
Answers
[tex]x^{2}[/tex]-2x+1=0
[tex](x-1)^{2}[/tex]=0
x-1=0
x=1
Someone please help me out!!!! Its a picture marking brainliest
Answers
Answer:
75.875m^2
Step-by-step explanation:
12-4=8
8x4=32
12x4=48
1/2(1.5+4)1.5=4.125
32+48-4.125=75.875
4(2+-3)2?
I will give 10 points!
Answers
Answer:
-8
Step-by-step explanation:
Use PEMDAS (solve for parenthesis first):
4(2 + -3)2
4(2 - 3)2
4(-1)2
(-4)2
-8
4(2 + 3) 2
=4. 5. 2
=4 0
The translation of ABCD to A'B'C'D'
is given by (x+[?],y-[ ).
5
B
С
4
3
2
A А
D
C
1
B В
23 -2 -1 0
-1
-7 -6
-5
-4
1
2
3
4
2
A'
D'
Enter
Answers
Answer:
(x+2,y-4)
Step-by-step explanation:
The correct answer is (x+2, y-4)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, left, right or down.
ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
Find out more on transformation at: https://brainly.com/question/1548871
Answer with the explanation step by step
Answers
Answer:
The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex] to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].
Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Function expressed by the formula y=-0.5x. Is there a value of x for which
y=-150? If there is such a value, compute it.
Answers
Answer:
x=300
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
−150=−0.5x
Divide both sides by −0.5.
−0.5
−150
=x
Expand
−0.5
−150
by multiplying both numerator and the denominator by 10.
−5
−1500
=x
Divide −1500 by −5 to get 300.
300=x
Swap sides so that all variable terms are on the left hand side.
x=300
Hope this helped!
HELPPP MEE PLEASE!!!
Consider the function shown on the graph.
Answers
Answer:
Domain x ≥ - 5
Range y ≥ - 2
Step-by-step explanation:
x ≥ - 5
y ≥ - 2
1. Find the sum of csc230° and cot2 45°.
Answers
Answer:
5
Step-by-step explanation:
Based on the given conditions, formulate
Evaluate the expression:
Calculate the power:
Calculate the first two terms:
Answer:
Ai giải giúp mình giải bài này với
[tex]\sqrt{36x^{2} -60x+25} =4[/tex]
Answers
Answer:
x=[tex]\frac{3}{2}[/tex] and x=[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{36x^2-60x+25}=4[/tex]
=> [tex]\sqrt{36x^2-60x+25}^{2} =4^{2}[/tex]
=> [tex]{36x^2-60x+25}=16[/tex]
=> [tex]36x^2-60x+25-16=16-16[/tex]
=> [tex]36x^2-60x+9=0[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}[/tex]
=>[tex]x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\[/tex]
=> [tex]x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}[/tex]
PQRS is a parallelogram. Answer the questions below.
Answers
Answer:
4. SR= 17 (opposite angle of parallogram are equal)
Which of the following expressions are equivalent
Answers
Answer:
A and B
Step-by-step explanation:
A and B are the correct options
if a = 4 b = 5 find the value of a^2+ab^2+y^2
Answers
Answer:
121
Step-by-step explanation:
Given,
a = 4
b = 5
a² + ab² + b²
= 4² + 5 x 4² + 5²
= 16 + 80 + 25
= 121
A circle has a radius of 9 mm. What is its circumference?
Use 3.14 for a
Answers
Answer:
56.52 mm
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *
C = 2 * 3.14 * 9
C = 56.52
Answer:
[tex]56.52\text{ mm}[/tex]
Step-by-step explanation:
The circumference of a circle with radius [tex]r[/tex] is given by [tex]A=2r\pi[/tex].
We're given a radius of 9 mm and told to use [tex]\pi=3.14[/tex]. Substituting these values, we get:
[tex]A=2(9)(3.14),\\A=\boxed{56.52\text{ mm}}[/tex]
look at image above question and answers
Answers
Answer:
Step-by-step explanation:
Let's try all of them one by one.
Our equation is 4x + 2y + 3 = 19.
A:
20 + 6 + 3 = 19
Not quite!
B:
16 + 10 + 3 = 19
Still not it!
C:
12 + 4 + 3 = 19
We got it!
But still, we check D.
8 + 10 + 3 = 21
Nope.
C (or the 3rd option) is our answer.
I hope this helped.
what is the equation of the line that passes through the points (-10,-3) and (0,6)?
Answers
Answer:
9x-10y+60=0
Step-by-step explanation:
slope is,
m = (6-(-3))/(0-(-10))
= 9/10
b = -3-(9/10)×(-10)
= 6
So, the equation of the line is,
y = 9x/10+6
or, 9x-10y+60=0
Answered by GAUTHMATH
PLEASE! I need Help. 50 POINTS!!
Answers
Answer:
-5^ 5
Step-by-step explanation:
-5^7 ÷ -5^2
We know that a^b ÷ a^c = a^ (b-c)
-5^(7 - 2)
-5^ 5
Answer:
C
Step-by-step explanation:
subtract exponents
Rewrite the expression in the form y^n. y^9/y^2=
Answers
Answer:
y^7
Step-by-step explanation:
We know that a^b / a^c = a^( b-c)
y^9/y^2
y^(9-2)
y^7
Answer:
Step-by-step explanation:
The rule for division when the bases are like is to subtract the exponents:
[tex]\frac{y^9}{y^2}=y^{9-2}=y^7[/tex]
The picture attached
Answers
Answer:
Step-by-step explanation:
m1 = 300
m2= 300(1+.05) = 300(1.05)
m3 = 300(1.05)(1.05)
m4= 300(1.05)(1.05)(1.05)
each subsequent month is the previous month times "1 + .05"
the "one" preserving the running total, and the extra ".05" adding the 5%
the repeating (1.05)(1.05)(1.05) is notational simplified using exponents
(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]
Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo
Answers
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
Which
graph shows a dilation?
Answers
Answer:
There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer
Answer:
here you go!!
Hope it helps
Pls mark me a brainliest
Step-by-step explanation:
methemetikcs but anyways yea I don't understand this I'm any way shape or form.
Answers
Answer:
C
Step-by-step explanation:
The center of the large circle is Center D. It has can area of 900 pi square units. This means that according to the formula of the area of circle,
[tex]\pi {r}^{2} [/tex]
The radius of the large circle is 30.The diameter of the large circle is 60.Since Point D is the center of the large circle, by definition of a circle, diameter, and radius.
AD=30, DB=30, and AB=60.The area of the 3 small circles are equal so this means that the radius,any physical characteristics of the 3 circles are equal.
This means that each diameter of the 3 circles equally divide the diameter of the large circle into 3 equal parts.
This means Circle C diameter is 20.
Circumference is
[tex]\pi d[/tex]
The diameter is 20 so the circumference of Circle C is
[tex]20\pi[/tex]
Answer:
C
Step-by-step explanation:
hope it helps!!!!!!!!!!
Fifteen hundred randomly selected South Carolina kindergarten students were observed on the first day of school
Answers
Answer: See explanation
Step-by-step explanation:
The question isn't complete. Here is the completed question that I got online.
Fifteen hundred (1500) randomly selected South Carolina kindergarten
students were observed on the first day of school to determine if they knew how to tie a shoe. Using this information, please identify the following: Population:
Sample:
Variable:
Sample Size:
Sample Space:
The variable is: (qualitative/quantitative)
If 40% of the observed students knew how to tie their shoes, how many of the 58,135 kindergarten students in SC can we expect to know how to tie their shoes?
Sample: The sample is 1500.
Variable: This is the number of students who know how to tie their shoes.
Sample Size: 1500
Sample Space: The total number of students in South Carolina kindergarten
The variable is quantitative since they're counted.
If 40% of the observed students knew how to tie their shoes, therefore the number from the 58,135 kindergarten students in SC that can be expected to know how to tie their shoes will be:
= 40% × 58135
= 0.4 × 58315
= 23254
Using the following equation, find the center and radius:
x2 + 2x + y2 + 4y = 20
Answers
Answer:
centre = (- 1, - 2 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + 2x + y² + 4y = 20
To obtain equation in standard form use method of completing the square
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(2)y + 4 = 20 + 1 + 4
(x + 1)² + (y + 2)² = 25 = 5² ← in standard form
with centre = (- 1, - 2 ) and r = 5
Radius -5
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