Answer:
b 5/13
Step-by-step explanation:
What is the solution set for the exponential inequality (1/2)^2x+1<4
A.(0, 4)
B.(0, ∞)
C.{-3/2,4}
xxxxD.{-3/2,infinity)
It's D
Answer:
Answer is choice D. [ -3/2, ∞)
Step-by-step explanation:
correct on edg
The interval notation for the given exponential inequality is (-3/2, ∞).
The exponential inequality is [tex](\frac{1}{2} )^{2x}+1 < 4[/tex].
What is an exponential inequality?Exponential inequalities are inequalities in which one (or both) sides involve a variable exponent. They are useful in situations involving repeated multiplication, especially when being compared to a constant value, such as in the case of interest.
Now, the given exponential inequality can be solved as follows:
[tex](\frac{1}{2} )^{2x}+1 < 4[/tex]
⇒ [tex](\frac{1}{2} )^{2x} < 3[/tex]
⇒ [tex]\frac{1}{2^{2x} } < 3[/tex]
Multiply [tex]2^{2x}[/tex] on both the sides of the inequality.
That is [tex]\frac{1}{2^{2x} } .2^{2x} } < 3.2^{2x} }[/tex]
⇒ [tex]1 < 3.2^{2x} }[/tex]
Solve for x
[tex]x=\frac{ln \frac{1}{3} }{2 ln 2}[/tex]
The solution consists of all of the true intervals.
[tex]x > \frac{ln \frac{1}{3} }{2 ln 2}[/tex]
Interval Notation: (-3/2, ∞)
Therefore, the interval notation for the given exponential inequality is (-3/2, ∞).
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why are the factors in your multiplication sentences in a different order
In multiplication, the order doesn't matter.
2 rows of 7 and 7 rows of 2 is the same.
If you have seven 2's, that's the same as two 7's.
See here:
2 + 2 + 2 + 2 + 2 + 2 + 2 = 14
7 + 7 = 14
Or:
2 * 7 = 7 * 2 = 14
The term test grades for an introductory calculus class was aggregated into
intervals of 10% to construct a relative frequency distribution. Suppose we
know the mean is 56% and the median is 40%. What would be true about the
center and the spread?
Answer:
its the same
Step-by-step explanation:
you read
pls help i need this done as quick as possible
Answer:
Infinite Solutions.
Step-by-step explanation:
[tex]m+7=3+m+4[/tex]
Subtract m from both sides:
[tex]m+7-m=3+m+4-m[/tex]
[tex]7=3+4[/tex]
[tex]7=7[/tex]
Both sides are equal.
This means that the value of m does not affect the end result of 7 = 7, which is true. Thus, there are infinite solutions as any value of m will still make the equation true.
Answer:
Infinite Solutions
Step-by-step explanation:
Hope this will help
I need help this is due by 3pm!!!!! multiplying fractions,brainly if correct.
Answer:
2 3/4
Step-by-step explanation:
Please help with this I’m garbage at math:/
Answer:
Thale's theorem stated that if a line parallel to the base of the triangle intersects it, the ratio of sides of the respective sides is equal
In this diagram, since the 2 horizontal lines are parallel
the ratio of the 2 sides on the left and the 2 sides on the right will be equal
Hence,
x/15 = 2/10
x = 30/10
x = 3
!! PLEASE HELP !!
What is the expression in radical form?
(3p^3q)3/4
Answer:
A
Step-by-step explanation:
Recall that if we are given fractional exponents, we can use the following property:
[tex]\displaystyle x^{ {}^{a}\!/\! {}_{b}} = \sqrt[b]{x^a}[/tex]
We are given the expression:
[tex]\displaystyle (3p^3q)^{ {}^{3}\!/\! {}_{4} }[/tex]
Use the above property, this yields:
[tex]=\sqrt[4]{(3p^3q)^3}[/tex]
Using the power of a power property, we can simplify this to:
[tex]=\sqrt[4]{(3^3)(p^3)^3(q)^3}[/tex]
Simplify:
[tex]=\sqrt[4]{27p^9q^3}[/tex]
In conclusion, our answer is A.
Do 1. Lucas makes the statement: "The exterior angles of a triangle are always
obtuse." of the following, which provides a counterexample to the statement?
о
Right Triangle
&
Acute Triangle
Equilateral Triangle
о o
Isosceles Triangle
CLEAR ALL
The exterior angle to the 90 degree interior angle is 90 degrees because 90+90 = 180. So this exterior angle is not obtuse.
The equilateral triangle always has an obtuse angle and for the isosceles triangle, it may be obtuse or acute.
What is an exterior angle?The angle is formed by a polygonal side and its extended neighboring side. When a transversal cuts one of two lines, it creates an angle that is outside of the line.
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.
Equilateral triangle always has an obtuse angle and for the isosceles triangle, it may be obtuse or acute.
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vertical angles are ____?
a. parallel
b.supplementary
c.complementary
d.congruent
Answer:
congruent.. because they are opposite another..
Answer:
Parallel
Step-by-step explanation:
Parallel means they don't touch. So, when they are going straight they will never curve or touch each other in the process.
HELP, this is due in 20 minutes!!!!PLEASE
The diagram contains contradictory information. Explain the contradiction.
A. Since
When you solve for x, you get 0=180. This is equally not valid.
B. Since
When you solve for x, you get x=30.
This would make m
An angle cannot measure 0 degrees, because it would not exists.
C. Since
When you solve for x, you get 0=180.
This equality is not valid.
D. Since
When you solve for x, you get x = 30.
This would make m
An angle cannot measure 0 degrees.
A lemon aid stand sells 14 gallons of lemon aid in 3 hours how many halls can they expect to sell after three, eight hour days?
Answer:
112 gallons
Step-by-step explanation:
Step 1:
3 × 8 Equation for finding how many hours in the 3 days
Step 2:
24 hours Multiply
Step 3:
14 ÷ 3 Equation to find how many gallons per hour
Step 4:
4.66666666667 Divide
Step 5:
4.66666666667 × 24 Equation
Answer:
112 Multiply
Hope This Helps :)
URGENT!! 50 POINTS FOR CORRECT ANSWER WITH EXPLANATION!!!
Segment has endpoints M(−2, 3) and N(−4, −2). What is the slope of the line parallel to the segment MN, and what is the slope of the line perpendicular to the segment MN?
Answer:
the answer is -5/2
hope it helps you mate..
please mark me as brainliast
The Blue Ridge Parkway is 469 miles long. The parkway is a road that runs through 29 Virginia and North Carolina counties. Jenny drove 3/5 of the parkway on vacation. How many miles did she drive? Simplify your answer and state it as a mixed number.
Answer:
281/2/5 miles
Step-by-step explanation:
469/5 = 93.8
93.8x3 = 281.4
= 281/2/5 miles
Please mark as Brainliest, thank you!
The miles did she drive is 281/2/5 miles.
It is required to find the miles did she drive.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The Blue Ridge Parkway is 469 miles long.
Jenny drove 3/5 of the parkway on vacation.
According to given question we have
The miles did she drive
=469*3/5
= 281/2/5 miles
Therefore, the miles did she drive is 281/2/5 miles.
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You are going to decorate one wall of your bedroom by putting neon lights along the top. The wall is a square wall with an area of 256 inches. What is the length of the lights you need for the top of this wall? How long would the lights need to be if you wanted to go all the way around the wall?
can you guys answer both ? iof need it before 12 .
Carlie generates the table of values shown below in order to graph and solve the inequality 3^2x-1 < 27.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries one-third, 3, 27, 243.
What is the solution set for the exponential inequality?
(–∞, 2)
(2, ∞)
(–2, 2)
(–∞, 2) ∪ (2, ∞)
Answer:
answer is a
Step-by-step explanation:
The solution set for the exponential inequality is (- ∞, 2).
What is an inequality?"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."
The given inequality is
[tex]3^{2x - 1}[/tex] < 27
⇒ [tex]3^{2x}/3[/tex] < 3³
⇒ [tex]3^{2x}[/tex] < 3³ × 3
⇒ [tex]3^{2x}[/tex] < [tex]3^{4}[/tex]
⇒ 2x < 4
⇒ x < 2
Therefore, the solution is (- ∞, 2).
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18 people in a group of
24 do not have a hat on.
What is the ratio of people
wearing a hat to those not?
Answer:
[tex]\frac{3}{4}[/tex] of the people are not wearing a hat and [tex]\frac{1}{4}[/tex] of the people are wearing a hat.
Step-by-step explanation:
Find the solution set to this inequality:
6m+2<5m- 4
O im m: 6
0 mm 2
(
mm2)
mm 6
Answer:
vruu
Step-by-step explanation:
skvnrwniohwrigjqepvpoqepmveppiehpihuorhg8hginvknkcmksmlkqslqbyftdrses6duguhojcfxzwexyvyih8ttde5setvjmpokuigcfxdetguinjnh fxtrfyhbh c
[tex]\int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx x^{2} \frac{x}{y} \pi \int\limits^a_b {x} \, dx \sqrt{x} \frac{x}{y} \frac{x}{y} x^{2} x^{2}[/tex]
30.597/47
please help me
PLEASE HELP!
What is m<3???
Answer:
105°
Step-by-step explanation:
180 minus 75 from angle 6 would give you angle 3.
4. A savings account of $5,000 for
12 years, compounded at an annual
interest rate of 6%.
In the figure below, line m || line n and line p || line q.
m
n
1
4
IN
3
If mz1 = 16x + 18 and mz2 = 24x + 2, determine which of the following angle measures are correct.
Omz1 = 50° and m2 = 980
O m2 = 98º and m 3 = 820
Om23 = 82º and m24 = 130°
Om24 = 130° and m2 = 980
Step-by-step explanation:
As per the fig,
<1 + <2 = 180°
(16x + 18) + (24x + 2) = 180°
X = 4°
Option (b) :
m <3 = 82°
m <2 = 98°
The formula for the length of the hypotenuse in a right triangle is \sqrt{a^2+b^2} a 2 +b 2 square root of, a, squared, plus, b, squared, end square root where aaa and bbb are the lengths of the triangle's sides (this formula is derived from the Pythagorean theorem). From the side, a certain ramp has a right-triangular shape. Its height is 303030 centimeters and its horizontal length is 333 meters. What calculation will give us the estimated length of the ramp in meters?
Answer:
The answer is A
Step-by-step explanation:
Answer:
A.) 30^2/100^2+3^2
Step-by-step explanation:
BRAINLIEST
I NEED HELP
SUPER HARD
Write a rule
for a nonlinear function such that y is negative when x = 1, positive when x=2,
negative when x=3, positive when x = 4, and so on.
Answer:
We know that a negative value is positive of all even exponents and negative for all odd exponents.
y=(-1)^x
the length of a rectangle is five times the width. if the area of the rectangle is 125 square inches, find the length and width
13=3g-2(-5+g) (solve for g)
Answer:
g = 3
Step-by-step explanation:
13=3g-2(-5+g)
3g-2(-5+g) = 13 {Use distributive rule}
3g - 5*(-2) + g(-2) = 13
3g + 10 -2g = 13 {Combine like terms}
3g - 2g + 10 = 13
g + 10 = 13 {subtract 10 from both sides}
g = 13 - 10
g = 3
The smallest number that must be added to 1300 to make it a perfect cube is
a. 42
b. 36
c. 25
d. 31
Answer:
d. 31.
Step-by-step explanation:
11^3 = 1331
31.
In 2009, Usain Bolt set the world record for sprinting 100 m in approximately 9 3/5 seconds. Find his average speed in meters per sound.
Answer: 10 5/12 meters per second
Step-by-step explanation:
distance = rate (time)
100= r( 9 3/5)
r=10 5/12
10 points please help ASAP
1. Corresponding angles. (upper left) 2. Alternate interior angles. ( upper right)
3. Alternate exterior angles. ( bottom left)
4. consecutive interior angles. ( bottom right)
Which expressions below equal a rational number? Select all that apply.
Orx4
2.4
375
136 + 15
3 - 3
(149)(7)
Answer:
B, D, E
Step-by-step explanation:
A: simplifies to 2π. Multiplying the irrational number π by 2 does not result in a rational number.
B: the sum of two rational numbers is always rational
C: simplifies to 6+√5. The sum of a rational number and an irrational number is always irrational
D: simplifies to 0, a rational number
E: simplifies to 7, a rational number
2(x-3)+9=3(x+1) +x what is x
Answer: 3
Step-by-step explanation: Simplifying
2(x + -3) + 9 = 3(x + -1) + x
Reorder the terms:
2(-3 + x) + 9 = 3(x + -1) + x
(-3 * 2 + x * 2) + 9 = 3(x + -1) + x
(-6 + 2x) + 9 = 3(x + -1) + x
Reorder the terms:
-6 + 9 + 2x = 3(x + -1) + x
Combine like terms: -6 + 9 = 3
3 + 2x = 3(x + -1) + x
Reorder the terms:
3 + 2x = 3(-1 + x) + x
3 + 2x = (-1 * 3 + x * 3) + x
3 + 2x = (-3 + 3x) + x
Combine like terms: 3x + x = 4x
3 + 2x = -3 + 4x
Solving
3 + 2x = -3 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
3 + 2x + -4x = -3 + 4x + -4x
Combine like terms: 2x + -4x = -2x
3 + -2x = -3 + 4x + -4x
Combine like terms: 4x + -4x = 0
3 + -2x = -3 + 0
3 + -2x = -3
Add '-3' to each side of the equation.
3 + -3 + -2x = -3 + -3
Combine like terms: 3 + -3 = 0
0 + -2x = -3 + -3
-2x = -3 + -3
Combine like terms: -3 + -3 = -6
-2x = -6
Divide each side by '-2'.
x = 3
Simplifying
x = 3
