Answer: £ 260.78
Step-by-step explanation:
The value of 3⁵ ÷ 3-⁶
Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
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What is the slope of a line that is perpendicular to the graph of
y= 5x + 5?
Use the Zero Product Property to solve each equation.
2x2 - 5x + 2 = 0
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]4x-5x+2=0[/tex]
Picture attachment below
Answer:
1/3
Step-by-step explanation:
the total outcomes is 3*4 = 12
the probability to get two digit numbers 14 or less is :
11 12 13 14
4/12 = 1/3
Please !!!!!! Help me
Answer:
a. 1 b. 3/5 or 60%
Step-by-step explanation:
number of favourable events/number of total events
3x/5x = 3/5
can u pls help me with this thanks
Hey!!!
<a and <b are complementary angles.
Those angles which are exactly 90 degree are called complementary angles.
hope it helps..
Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection
Peter rides a bike along a triangular path in the neighborhood park. The sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far does Peter ride? 10.75 miles miles 12.35 miles 13.15 miles
a triangular path in the neighborhood park. The
sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far
does Peter ride?
Answer:
The distance that Peter rides is:
13.15 miles.Step-by-step explanation:
To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:
Perimeter of a triangle = side + side + sideIf you replace the formula, you obtain:
Perimeter of a triangle = 3.36 miles + 4.18 miles + 5.61 miles Perimeter of a triangle = 13.15 milesDetermine the constant of variation for the direct variation given
2
1
1/2
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
I will give brainliest answer
Answer:
≈ 93.06 cm²
Step-by-step explanation:
Subtract the area of the rectangle from the area of the circle
area of circle = πr² = π × 8² = 64π cm²
area of rectangle = 12 × 8 = 108 cm²
Thus
shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )
Answer:
The area of the shaded region = area of the circle - area of the rectangle
area of circle = πr² = π × 8² = 201.14 cm²
area of rectangle = 12 × 2 = 24 cm²
shaded area = 201.14 - 24 ≈ 177.14 cm²
Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?
A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)
Answer:
B
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
J(0, - 3 ) → J'(- 3, 0 )
K(- 1, 0 ) → K'(0, - 1 )
L(- 2, - 1 ) → L'(- 1, - 2 )
Answer:
yee its B
Step-by-step explanation:
Solve the inequality, then identify the graph of the
solution
-3x-3<_6
Answer:
First Part is C
The second part is 0,2,4
Step-by-step explanation:
Edge said so
The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The expression is [tex]-3x-3\leq 6[/tex].
The graph below shows the inequality of the expression.
The solution of the expression is
[tex]-3x-3\leq 6[/tex]
⇒ [tex]-3x\leq 6+3[/tex]
⇒ [tex]-3x\leq 9[/tex]
Divide both sides by -3. Then the inequality will also get changed.
⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]
⇒ [tex]x\geq -3[/tex]
Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.
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if the string forms a straight line, how high is the kite above the ground?
Answer:
102.44 feet
Step-by-step explanation:
This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:
[tex]\sin 52= \dfrac{x}{130}[/tex]
[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!
Solve the equation. Then check your solution.
-
(3a + 4) = 7
Helppp
Answer:
1
Step-by-step explanation:
-3a+4 =7
-4. _4
-3a=3
divide by -3 on both sides
a=-1
3+4=7
Answer:
a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66
Step-by-step explanation:
-(3a+4)=7
-3a-4=7
Add 4 to both sides
-3a=11
Multiply both sides by -1
3a= -11
Divide both sides by 3
a= [tex]-3\frac{2}{3}[/tex]
A die is rolled. Match the events mentioned in the first column with their corresponding probability.
Answer:
Step-by-step explanation:
a number greater than 5 - 1/6
a prime number - 1/2
a number greater than 4 - 1/3
a number less than 6 - 5/6
What is the domain of the function y = RootIndex 3 StartRoot x EndRoot?
Negative infinity less-than x less-than infinity
0 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
A
All real number which would be -infinity < x < infinity
The domain of the function is the set of all real numbers given by; Negative infinity less-than x less-than infinity.
What is the domain of the function?According to the task content;
It follows that the function whose domain is to be defined is; y = ³√x.Since, the domain of a function includes all possible values of its input variables (x in this case). It follows that the domain of the function in discuss is; all real number values. This follows from the fact that all the cube root of all real numbers can be evaluated.
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help please i did a problem like this and got it wrong i honestly think im confusing the closed and open dots. can some one just please help
Answer:
It should be a "closed" dot facing the left side (towards the negative numbers)
Step-by-step explanation:
The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.
The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.
How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.
The original inequality [tex]|x| \le 1[/tex] is the same as [tex]-1 \le x \le 1[/tex]
The general rule is [tex]|x| \le k[/tex] turns into [tex]-k \le x \le k[/tex] for some positive number k.
Point O is the center of dilation. Triangle X Y Z is dilated to create triangle X prime Y prime Z prime. The length of O Z is 2 and the length of Z Z prime is 4. The length of side X prime Y prime is 9 and the length of side Y prime Z prime is 12. Triangle XYZ was transformed by DO,3. What is the length of side XY? 1.5 4.5 3 18
9514 1404 393
Answer:
3
Step-by-step explanation:
The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.
Answer:
short answer middle picture :)
Step-by-step explanation:
What is 181.5% of 18?
Answer:
32.67
Step-by-step explanation:
18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.
The solution of expression is,
⇒ 32.67
We have to given that;
To find the value of 181.5% of 18.
Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Hence, We can simplify as;
⇒ 181.5% of 18
⇒ 181.5/100 × 18
⇒ 1.815 × 18
⇒ 32.67
Thus, The solution of expression is,
⇒ 32.67
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If x=5 and y=3, what is the value of 2(x+y)2 – (xy)0.
Answer:
32
Step-by-step explanation:
[tex]2(x+y)2-(xy)0\\2(5+3)2-((5)(3))0\\2(8)2-(15)0\\16(2)-0\\32-0\\32[/tex]
So the right answer is 113
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4
Answer:
-5
Step-by-step explanation:
For a quadratic equation to have two real number solutions, the discriminant must be positive. The discriminant of a quadratic equation is:
[tex]b^2-4ac[/tex]
This means that b^2 must be larger than 4ac. Since in this case 4ac is 4(1)(5)=20, b must be -5 out of the answer choices given. Hope this helps!
Answer:
A. -5
Step-by-step explanation:
Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
The given function is
[tex]f(x)=(x-1)(x+7)[/tex]
Zeroes of the function are
[tex](x-1)(x+7)=0[/tex]
[tex]x=-7,1[/tex]
It means, f(x) intersect x-axis at x=-7 and x=1.
Mid value of -7 and 1 is the x-coordinate of the vertex.
[tex]\dfrac{-7+1}{2}=-3[/tex]
At x=-3,
[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]
So, the vertex of the function is at (-3,-16).
The given function can be written as
[tex]f(x)=x^2+7x-x-7[/tex]
[tex]f(x)=x^2+6x-7[/tex]
Here leading coefficient is negative, it means it is an upward parabola.
So, we conclude that
1. The graph is increasing on the interval x > -3.
2. The graph is decreasing on the interval x < -3.
3. The graph is positive only on the intervals where x <-7 and where x > 1.
4. The graph is negative only on the intervals where -7 < x < 1.
Therefore, the correct options are 2, 3 and 4.
Answer:
THE CORRECT ANSWERS ARE 2,3,4!
Step-by-step explanation:
TOOK THE TEST ON EDGE
Can someone help me on these 2 questions?
Answer:
1. y=3
2. z= 27/4 or 6.75
plz plz plz i really need this will mark biranleast
Triangle ABC is to be reflected across line m to create triangle A'B'C'.
Which best describes the location of B'?
4 units to the right of line m.
4 units to the left of line m.
8 units to the right of line m.
8 units to the left of line m.
Answer:
8 units to the right of line m
Step-by-step explanation:
when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.
Answer:
4 units to the left of line m
Step-by-step explanation:
that's how I'm seeing it
What is the result when the number 15 is decreased by 6%? Round your answer to the nearest tenth.
Answer:
106.67%
Step-by-step explanation:
Answer:
14.1
Step-by-step explanation:
If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of the right triangle. Round to the nearest hundredth.
I might give you a brainliest if your answer is correct and you have a good explanation.
Answer:
9.74 feet
Step-by-step explanation:
the formula for finding a hypotenuse is [tex]a^{2} + b^{2} = c^{2}[/tex]. We can rearrange that to get: [tex]c^2 - b^2 = a^2[/tex]. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.
Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years
This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year.
Which of the decimals in the problem should be represented as a negative rate?
Which two factors should Ericka multiply to find the total variation in water level?
Answer:
Which of the decimals in the problem should be represented as a negative rate?
2.2 mm/year
Which two factors should Ericka multiply to find the total variation in water level?
6.2 years and –2.2 mm/year
Step-by-step explanation:
2.2 is represented as a negative integer because the problem said the key word "fell."
You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.
Answer:
2.2 mm/year 6.2 years and -2.2 mm/year
A sector has a central angle of 110° and an area of 11pi m squared. What is the arc length for this sector?
Answer:
(11/3)*pi
Step-by-step explanation:
what circle is how bigger?
360/110=36/11
11pi*(36/11)
36pi
radius is 6 (A=r^2*pi)(36 is 6^2)
circumference of a circle is 2pi*r
2pi*6
12pi
what fraction of the circumference is 110?
110/360=11/36
9132/36)*pi
(11/3)*pi
Can someone Help me?
Answer:
The answer for the surface area is 25.12
Step-by-step explanation:
By using the formula 1/3 x 3.14 x h x r^2
You would input the numbers and then multiply them all together to get the desired answer
What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ
Answer:
For the statement;
If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]
The contrapositive statement is therefore;
If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]
Step-by-step explanation:
Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive
The contrapositive of the statement p → q is equal to ~p → ~q
Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement
Answer:
If M is not the midpoint of , then is not congruent to
Step-by-step explanation:
