For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.
How to simplify the exponential expression?
First, we need to remember a rule for exponential expressions, it says that:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
Then we can rewrite the given exponential expression as:
[tex]16^{1/4} =\sqrt[4]{16}[/tex]
So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.
We know that:
2*2 = 4
Then:
2*2*2*2 = 2⁴ = 4*4 = 16
Then we can conclude that:
[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]
So the simplified value of the exponential expression is 2.
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165 divided by 11 =
154 divided by 14 =
306 divided by 17 =
322 divided by 14 =
Answer:
165 divided by 11 = 15
154 divided by 14 = 11
306 divided by 17 = 18
322 divided by 14 = 23
Victoria was given the expression 5x - 4x^2 - 1 + x - 8x^2 + 7 and asked to simplify it. How can she simplify the expression?
A. -12x^2 + 6x + 6
B. 13x^2 - 5x + 6
C. -4x^2 + 6x + 8
D. 4x^2 + 4x + 8
Answer:
the answer is C I hope this helps
The expression after simplifying is -12x² + 6x + 6.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 4x² - 1 + x - 8x² + 7
Add like terms.
6x - 12x² + 6
-12x² + 6x + 6
Thus,
The final expression is -12x² + 6x + 6.
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I need help in 17 & 18 & 19 :(
Answer:
The perimeter of the rectangle is 28 units
Determine the sine, cosine, and tangent to the angle
A sun 0=12/15
Answer:
Cos θ = 13/15
Tan θ= 12/13
Step-by-step explanation:
We are given;
Sin θ = 12/15
From trigonometric ratios, we know that;
Sin θ = opp/hyp
Cos θ = adj/hyp
Tan θ = opp/adj
Thus, since Sin θ = 12/15, then;
Adjacent side = √(15²- 12²)
Adhacent side = √169
Afjacent side =13
Thus;
Cos θ = 13/15
Tan θ= 12/13
Solve for x.
32 exponet 5-3x=2 exponet-10x
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰x can be found,
[tex]32^{(5-3x)}=2^{-10x}\\\\2^{5(5-3x)}=2^{-10x}\\\\5(5-3x)=-10x\\\\25-15x=-10x\\\\25=-10x+15x\\\\25=5x\\\\x=5[/tex]
Hence, the value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.
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im stuck need help me i don't get it
Answer:
J. 12 : 18
Step-by-step explanation:
Amy used 2 tea bags for every 3 cups of water to make iced tea
the ratio here is 2:3
x = 2:3
lets simplify our ratios
6 : 10 = 3 : 5 ≠ 2 : 3
5 : 6 = (doesn't simplify evenly) ≠ 2 : 3
9 : 15 = 3 : 5 ≠ 2 : 3
12 : 18 = 2 : 3 = 2 : 3
Simplifying
find their highest common factor and divide both the numbers by the same amount (HCF).
Ex.
12 : 18
12 ÷ 6 = 2
18 ÷ 6 = 3
2 : 3
Having trouble with this, pretty sure the answers i have in there are wrong, please help. especially need help with the last question , thank you
The year in which the two quantities will be equal is 2133.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Here we have the following data.
y=0.221x-368.264 For men
y=0.168x-255.196 for women
So when we will equate these two equation we will get the year in which two quantities will be same.
0.221x-368.264=0.168x-255.196
0.221x-0.168x=368.264-255.196
0.053x = 1123.068
x= 2133 year
Hence the year in which the two quantities will be equal is 2133.
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John had a bag of marbles as shown below.
What is the probability that John selects a green marble, replaces it, and then selects a
green marble?
3 green marbles
4 blue marbles
2 red marbles
1 yellow marble
A.9/100
B.1/ 10
C.1/15
D.1/50
Answer:
[tex]\sf A) \quad \dfrac{9}{100}[/tex]
Step-by-step explanation:
Given:
3 green marbles4 blue marbles2 red marbles1 yellow marbleTotal number of marbles = 3 + 4 + 2 + 1 = 10
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Probability of selecting a green marble on first pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
Probability of selecting a green marble on second pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
(as the 1st pick was replaced)
Therefore,
[tex]\implies \textsf{P(green marble) and P(green marble)} \sf =\dfrac{3}{10} \times \dfrac{3}{10}=\dfrac{9}{100}[/tex]
What is the length of side a rounded to the nearest 12.9 cm tenth of a centimeter? a a 15.3 cm
Answer:
8.227 then rounded to tenth is 8.2
Step-by-step explanation:
just smart.
please rate good. have a good day.
please need help involve steps for better understanding conic section
What type of solution is this expression (one solution, no solution, or infinite solutions)
4x + 2x - 2 = 3x + 7
Answer: One solution
Step-by-step explanation:
6x-2=3x+7
3x-9
x=3
please help me!! I’m bad at math!!
Answer:
50.24
-
And, you're not bad at math! You goot this correct! :)
Step-by-step explanation:
c=25.12
we can use this to find the raidus!
-
plug it back into the circumference formula first.
c=(pi)(d)
25.12=3.14*d
divide both sides by 3.14!
d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!
-
now we plug it into the area of a circle formula.
π · r2
3.14 * 4^2
3.14*16
50.24
Davis paid $250 for a sneaker and there is a 33% advertised discount. How much is the discount?
Answer:
152.5
Step-by-step explanation:
I think that might be the answer ( im not that good at math )
a triangle that has 2 side lengths of 8 and 12 if x represents the length in inches on the third side, which inequality gives the range of possible values for x
Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.
Therefore, the range of values that is possible for x would be:
12 - 8 < x < 12 + 8
4 < x < 20
The inequality is: 4 < x < 20
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I bought 6.7 kg of apples and a water melon that weights 3.1 kg how much fruit did I buy.
Answer:
Our goal is to find the total weight which we can do by just adding up our weights. We have 6.7 kg of apples and we have 3.1 kg of melon so we just add those up together and we get 9.8 kg.
Hope this helps! Let me know if you have any questions
I need help.. can somebody help me understand inputs & outputs?
A) 8, 2, –12
B) 8, 0, 12
C) 8, 0, –12
D) –8, 0 12
For Halloween, Sue wears a monocle that, its packaging claims, has a circumference of
18.212 centimeters. What is the monocle's radius?
Use 3.14
the measure of the radius is 2.9
What is the volume of the rectangular prism?
Type the answer in the boxes below.
Answer:
3.75 cubic centimeters
Step-by-step explanation:
1.5*2.5*1 cubic centimeters
Answer:
3/20
Step-by-step explanation:
1/2 x 3/5 x 1/2
L x W x H is the formula
Length x Width x Height
count the squares, they're each 1/2 so multiply the number of squares with 1/2.
For example, the rectangular prism is 3 squares high, which means it's 3/6, and that simplifies to 1/2. Now you have your height. You do the same for the width and length.
Hope this helps <3
What is plagiarism?
A. Using reliable sources in your paper
B. Letting the reader know where you got your information from
C. Providing constructive criticism.
D. Using another person's ideas or writing without citing them.
Answer: D. Using another person's ideas or writing without citing them.
Step-by-step explanation: Plagiarism is the use of someones work and claiming it as their own without giving them credit
Can you guys help me please :(
Answer:
circumference formula = πd or 2πr .. they are the same thing
G is the answer
can someone please help me with this math problem please please
Answer:
c
Step-by-step explanation:
Step 1
Solve 3x-y=-63x−y=−6 for yy.
y=6+3xy=6+3x
Step 2
Substitute 6+3x6+3x for yy in the second and third equation.
2\left(6+3x\right)-5z=-52(6+3x)−5z=−5 x-\left(6+3x\right)-2z=-4x−(6+3x)−2z=−4
Step 3
Solve these equations for xx and zz respectively.
x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z z=-1-xz=−1−x
Step 4
Substitute -\frac{17}{6}+\frac{5}{6}z−
6
17
+
6
5
z for xx in the equation z=-1-xz=−1−x.
z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z)
Step 5
Solve z=-1-\left(-\frac{17}{6}+\frac{5}{6}z\right)z=−1−(−
6
17
+
6
5
z) for zz.
z=1z=1
Step 6
Substitute 11 for zz in the equation x=-\frac{17}{6}+\frac{5}{6}zx=−
6
17
+
6
5
z.
x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1
Step 7
Calculate xx from x=-\frac{17}{6}+\frac{5}{6}\times 1x=−
6
17
+
6
5
×1.
x=-2x=−2
Step 8
Substitute -2−2 for xx in the equation y=6+3xy=6+3x.
y=6+3\left(-2\right)y=6+3(−2)
Step 9
Calculate yy from y=6+3\left(-2\right)y=6+3(−2).
y=0y=0
Step 10
The system is now solved.
x=-2x=−2 y=0y=0 z=1z=1
Solution
x=-2x=−2
y=0y=0
z=1z=1
The radius of the circle above is 39 mm. What is the circumference of the circle? Use 7 = 3.14.
Circumference = 2017
A. 244.92 mm
B. 9,551.88 mm
C. 122.46 mm
D. 4,775.9400000000 mm
Answer:
244.92 or A
Step-by-step explanation:
r=39, so we can then find the diameter.
39*2= 78 (the diameter)
c=(pi)(d)
c=3.14*78
c= 244.92
Evaluate the following when n = 7: 5(n - 5)
Hey! there
Answer:
10 is the answerStep-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]
We are substituting value of n as 7 :
[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]
Solving parenthesis that is subtracting 5 from 7 :
[tex] \quad \longmapsto \qquad \:5(2)[/tex]
Now we are multiplying 5 with 2 and We get :
[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]
Henceforth , value of expression when n is equal to 7 is ❝ 10 ❞#Keep LearningStep-by-step explanation:
Answer:
10 is the answer
Step-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]
We are substituting value of n as 7 :
[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]
Solving parenthesis that is subtracting 5 from 7 :
[tex] \quad \longmapsto \qquad \:5(2)[/tex]
Now we are multiplying 5 with 2 and We get :
[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]
Henceforth , value of expression when n is equal to 7 is 10
Mr. Benito just purchased 24 paint sets and a few sketch books for his art class. The total bill wūs $241. The paint sets cost a total of $105 and the sketch books $8 each. How many sketch books did he buy?
Answer:
He bought 32 sketchbooks
Step-by-step explanation:
E equals 32
Answer:
17
Step-by-step explanation:
We know:
The total bill was $241
The paint sets cost $105
Each sketchbook is $8
First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.
241-105=136
Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.
136/8=17
Therefore, Mr. Benito bought 17 sketchbooks.
Posted this earlier but it got lost. Having difficulty answering this, my original answer was incorrect. Photo is attached, please help!
Is 8,11,14 a right triangle?
Answer:
NO
Step-by-step explanation:
For it to be a right triangle, 14 should be 13.6
8, 11, 13.6 is a right triangle
Tell whether the following ratios shows proportion or not. Write
your answer on the space provided before each number.
_________ 1. 2:10 = 1:5
_________ 2. 3:6 = 6:3
_________ 3. 5:15 = 1:3
_________ 4. 12:4 = 6:2
_________ 5. 5:15 = 1:3
Answer:
1. Proportion
2. Not Proportion
3. Proportion
4. Proportion
5. Proportion
Step-by-step explanation:
Hope it helps you :))))))
Have a good day
Which is the closest to the area that is painted blue? A 308 units B. 116 units C. 463 units? D 124 units
Step-by-step explanation:
first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).
the blue colored area is the area of the whole square minus the area of the circle.
the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.
so, the area of the square is
24² = 576 units²
the are of the circle is
pi×r² = pi×12² = 144pi units²
so, the blue area is
576 - 144pi = 123.6106579... ≈ 124 units²
therefore, D is the right answer.
What are the roots of the equation x² + 6x-9 = 07
Answer:
x1 =-3+3[tex]\sqrt{2}[/tex] and x2=-3-3[tex]\sqrt{2\\}[/tex]
Step-by-step explanation:
x² + 6x-9 = 0
-6±[tex]\sqrt{6^{2}-4(1)(-9) }[/tex] / 2
-6±[tex]\sqrt{72}[/tex] /2
so
x1 = -6+[tex]\sqrt{72[/tex] /2
x1 =-3+3[tex]\sqrt{2}[/tex]
and
x2 = -6-[tex]\sqrt{72[/tex] /2
x2=-3-3 [tex]\sqrt{2\\}[/tex]
Can anyone solve number 20?
Answer:
X=80
Step-by-step explanation:
Angle OAB=50(Properties of isosceles traingle)
X+50+50=180(sum of the interior angles of the traingle)
X=180-100
X=80