The equivalent expression of square root of -64 is 8i
How to determine the equivalent expression?We have:
square root of -64
Rewrite as:
√-64
Expand
√64 * √-1
Take the square root of 64
8√-1
In complex numbers
√-1 = i
So, we have:
8i
Hence, the equivalent expression of square root of -64 is 8i
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Solve the equation 2x + 10 = 30.
Answer:
X=10
Step-by-step explanation:
1. Subtract 10 from both sides
2. Simplify
3. Divide both sides by the same factor
4. Simplify
Which expression is equivalent
A, B, C, D got stuck with this problem
Convert the following common fractions to decimals. Round to three decimal places if necessary. You may use a
calculator. 3/4
1. 0.75
2. 3.4
3. 0.34
4. 7.5
Analyze the graph of the cube root function shown
on the right to determine the transformations of
the parent function. Then, determine the values of
a, h, and k in the general equation.
y = a√√x-h+k
h =
k =
DONE✔
The values of a, h, and k in the general equation is h=1, k=4 and a=2
What is parent function?The function which can be transformed into different ways is the parent function.
On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).
The given function is
y =a³ √(x -h) + k
Put the coordinate (0,2) in the equation, we get
2 = a³ √(0 -h) + k..................(1)
Plug (1, 4), we have
4 = a³ √(1 -h) + k..................(2)
Plug (2, 6), we have
6 = a³ √(2 -h) + k..................(3)
On solving these three equations, we have
h=1
k=4
a=2
Thus, value of h is 1, k is 4 and a is 2.
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Answer:
the rest of the answers are:
C
B
C
A
D F
A C D
A
D
H= 1
K=4
A=2
Step-by-step explanation:
A television is 28.5 inches wide and 16 inches long.
Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?
a.)
45 inches
b.)
22 inches
c.)
33 inches
d.)
24 inches
Answer:
C) 33 inches
Step-by-step explanation:
A^2 + B^2 = C^2
812.25 + 256 = C^2
1068.25 = C^2
32.684 = C
Hope this helps! Pls mark me as brainliest :)
its math help me pless
Answer:
mommy
Step-by-step explanation:
The value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
The given function is [tex]f(x)=3x^{2} -2x[/tex].
We need to evaluate the given function for x=4.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
To find the value of the given function replace x with 4 and simplify.
That is, [tex]f(4)=3(4)^{2} -2 \times 4=48-8=40[/tex].
Hence, the value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
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In order to determine the height of the flagpole in the school yard, Cindy is going to use similar triangles. The
length of Cindy's shadow is 5 feet. Measuring the length of the shadow of the pole at the same time, she finds
it to be 12.5 feet. Using this information and the fact that Cindy's height is 4 feet, give the height of the pole
to the nearest hundredth of a foot.
The height of the pole is 12.5 feet.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Cindy's shadow is 5 feet.
length of the shadow of the pole at the same time, she finds it to be 12.5 feet.
So,
12.5/5=x/5,
62.5=5x
x= 12.5 feet.
Hence, the height of the pole is 12.5 feet.
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Can someone help me please
Answer:
b i just toke the test
jejsjsjsjsjsjsjsjs
Answer:
[tex] \boxed{\bf A)\: 3 \: units}[/tex]
Step-by-step explanation:
Given that, the area = 9π units²
Area of a circle = πr²
So...
[tex]\bf {\pi}r^{2} = 9\pi[/tex][tex]\bf {r}^{2} = 9[/tex][tex]\bf r = 3 \: units[/tex]---------------------------What would be the cost for 5 of the gift cards?
Answer:
$100
Step-by-step explanation:
It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100
Answer:
$100
Step-by-step explanation:
From the graph we see that each card costs $20.
what is the product of (3a^2b^7)(5a^3b^8)
Answer:
when multiply with exponents you add so
(3a^2b^7)(5a^3b^8)=15a^5b^13
Hope This Helps!!!
If the independent variable is in the rows of a cross-tabulation and the dependent variable is in the columns, which percents do we use for comparisons?
We make use of the row percentage for comparisons
How to determine the percentage of comparison?From the question, we have:
Row ⇒ Independent variableColumn ⇒ Dependent variableThe data represented by the independent variable is always used to make comparison
Since this variable is on the rows, then the row percentage would be used for comparisons
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Which number produces a rational number when added by 1/5
Answer:
-2/3
Step-by-step explanation:
= 1/5 + (-2/3) = -7/15
(A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Rational number can be both positive and negative.)
Shane is 12 meters behind the leader in a running race. Kathy is 5 meters behind the leader. Lilly is 5 meters ahead of the leader. Who is/are the nearest to the leader?
Answer:
Kathy and Lilly
Step-by-step explanation:
Because they both are nearest to the leader distance of 5 meters
Which of them factored 12x^7 correctly?
Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When c is the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the current).
Find the difference in simplest form.
The time it takes = 3 hours 12 minutes
What is rate?Rate is a ratio which compares two quantities of different units.
Analysis:
Speed = 5 miles/hour
distance covered = 16 miles
speed taken = distance covered/time taken
time taken = 16/ 5 = 3.2 hours = 3 hours 12 minutes
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Drag each tile to the correct location. These graphs are all rational functions. Classify the graphs based on how many vertical asymptotes they have.
Step-by-step explanation:
a vertical asymptote goes up and down.
the horizontal ones (like the horizon) go left and right.
A
1 vertical asymptote at x = 0
B
2 vertical asymptotes at x = -1 and x = +1
C
no vertical asymptote (whatever vertical line you can think of, it will always really cross the graph in finite space)
D
1 vertical asymptote at x = 3
E
like A
F
2 vertical asymptotes at x = -1 and x = +4
Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply
Answer:
A C D Because dilate means to become larger/smaller
Step-by-step explanation:
Plssss help will give brainliest!!!
2. 3 is not a function
3. 4 is a function
To be a function it has to pass the vertical line test, meaning the x value can not repeat. So for this problem, you need to look at the ordered pair (x,y). For problem 2, answer 3 is not a function because the x value of 1 appears twice. For problem 3, answer 4 is a function because there aren't any x values being repeated.
please place the dot for me(20 points will give brainliest!!!)
Answer:
a. t = 3 + √15 or t = 3 - √15
b. t = 6.87 or t = -0.87
Step-by-step explanation:
a.
Given : t² = 6t + 6
t² = 6t + 6 ⇔ t² - 6t + 6 = 0
USING THE QUADRATIC FORMULA:
[tex]t=\frac{6\pm \sqrt{\left( -6\right)^{2} -4\left( 1\right)(-6) } }{2}[/tex]
Then
[tex]t=\frac{6\pm \sqrt{36 +24 } }{2}[/tex]
Then
[tex]t=\frac{6\pm \sqrt{60 } }{2}[/tex]
Then
[tex]t=\frac{6\pm 2\sqrt{15 } }{2}[/tex]
Then
t = 3 ± √15
Then
t = 3 + √15 or t = 3 - √15
…………………………………………………
b.
t = 3 + √15 = 6.872983346207 ≈ 6.87
or t = 3 - √15 = -0.872983346207 ≈ -0.87
Describe how the variability of the distribution changes as the sample size increases.
Answer:
As the sample size increases, the variability decreases.
Step-by-step explanation:
The actual departures from the mean are used to quantify variability. The variance would be lower the fewer the deviations.
By using the central limit theorem, we can determine that the sample mean for random samples of size n follows a normal distribution.
The standard deviation of the X bar will be [tex]\frac{s}{\sqrt{n} }[/tex].
where s is the sample's variance's square root.
As a result, we discover that the standard deviation, or variability, is inversely proportional to the square root of the sample size. Therefore, standard error lowers as sample size grows. The variability falls off as sample size rises.
please answer all of theses asap
Answer:
1. won 50 games and lost 32 games
2. 233 Democrats and 202 Republicans
3. 360 miles
4. 6 hours
5. 18 miles
Step-by-step explanation:
Question 1
let x = number of games lostlet y = number of games wonFrom the given information:
Equation 1: x + y = 82Equation 2: x = y - 18Substitute Equation 2 into Equation 1 and solve for y:
⇒ y - 18 + y = 82
⇒ 2y - 18 = 82
⇒ 2y = 100
⇒ y = 50
Substitute found value of y into Equation 2 and solve for x:
⇒ x = 50 - 18
⇒ x = 32
Therefore, the team won 50 games and lost 32 games.
Question 2
let d = number of Democratslet r = number of RepublicansFrom the given information:
Equation 1: d + r = 435Equation 2: d = r + 31Substitute Equation 2 into Equation 1 and solve for d:
⇒ r + 31 + r = 435
⇒ 2r + 31 = 435
⇒ 2r = 404
⇒ r = 202
⇒ d = 233
Substitute found value of d into Equation 2 and solve for r:
⇒ 233 = r + 31
⇒ r = 202
Therefore, there were 233 Democrats and 202 Republicans.
Question 3
Given:
v = 180 m/ht = 2 hDistance (d) = vt
⇒ d = 180 × 2
⇒ d = 360 miles
Question 4
Given:
v = 70 mi/hd = 420Time (t) = d ÷ v
⇒ t = 420 ÷ 70
⇒ t = 6 hours
Question 5
Let c = velocity of carLet b = velocity of busIf the velocity of the bus is 12 mph less than the car then:
⇒ c = b + 12
Given journey times:
Car: t = 30 mins = 0.5 hBus: t = 45 mins = 0.75 hDistance (d) = vt
Create two equations for distance:
Bus
⇒ d = b × 0.75 = 0.75b
⇒ d = 0.75b
Car
⇒ d = (b + 12) × 0.5
⇒ d = 0.5b + 6
Distance for both vehicles is the same. Equate the two equations for d and solve for b (velocity of bus):
⇒ d = d
⇒ 0.75b = 0.5b + 6
⇒ 0.25b = 6
⇒ b = 24 mph
Substitute the value of b into one of the distance formulas and solve for d:
⇒ d = 0.5(24) + 6
⇒ d = 18 miles
What value is missing from the table?
A. 4.5
B. 5.5
C. 5
D. 4
Answer:
D. 4
Step-by-step explanation:
The faster you go, the faster you get home (theoretically anyway) and vice versa. So if your speed is doubled, it'll take half the time to get home. But if your speed gets halved, it'll also take double the time to get home.
So, if at 60 mph it takes 1 hour to get home, then if your speed is divided by four to 15 mph, you need to multiply the time by the same number and thus the answer is 4.
3 x 4 divided by 110 + 60
Answer:
60.10
Step-by-step explanation:
3 x 4 = 12
12 / 110 = 0.109
0.109 + 60 = 60.109
Isaac bought snacks for his team’s practice. He bought a bag of chips for $2.94 and a 8-pack of juice bottles. The total cost before tax was $16.62. How much was each bottle of juice?
Answer:
each bottle of juice was $1.71
Step-by-step explanation
first, subtract the cost of the chips from the total cost
$16.62 - $2.94 = $13.68
now we know the price of all 8 juice bottles. To find the price of each bottle of juice, divide the total price of all 8 juice bottles by 8
$13.68 / 8 = $1.71
$16.62 - $2.94 = $13.68
$13.68/8 = $1.71
Each bottle of juice is $1.71
A rectangle swimming pool was 9 meters wide with an area of 90 square meters. What is the length of the pool?
Answer:
10 meters.
Step-by-step explanation:
The area of a rectangle formula is width multiplied by length. So, to find the length of the pool, simply divide the width from the area.
90/9=10
The length of the pool is 10 meters.
Hope this helps!
If not, I am sorry.
A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.
Answer:
a) The third term is 19
b) The new term-to-term rule is subtract 13 and then divide by 6.
Step-by-step explanation:
First term: -2
Second term: 1 (-2 * 6 = -12 + 13 = 1)
Third term: 19 (1 * 6 = 6 + 13 = 19)
Our reversed sequence is now 19, 1, -2
First term: 19
Second term: 1 (19 - 13 = 6 / 6 = 1)
Third term: -2 (1 - 13 = -12 / 6 = -2)
It's term is -3 it can be divided into 6 points +79
8.6 + 5.6x - 1.5 = 40.7
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6[/tex]
Answer:
x = 6Step-by-step explanation:
solve for x
8.6 + 5.6x - 1.5 = 40.7
5.6x = 40.7 - 8.6 + 1.5
5.6x = 33.6
x = 33.6 : 5.6
x = 6
-----------------------------
check
8.6 + 5.6 * 6 - 1.5 = 40.7
40.7 = 40.7
the answer is good
A driver travels the first 240 km of a 600-km journey at an average speed of 60 km/h. If the time taken for the whole journey is 8 hours 48 minutes, find the average speed for the remaining journey.
Step-by-step explanation:
1)Take the time he is traveling divided by the speed to get the time.
2)Subract the time you have got from the average time,then subtract the average distance from the traveling distance,then divide the two to get the speed.
3)Take the total distance, divide it by the total time to get the average speed.
157 * √24
a. rational
b. irrational
Answer:
Irrational
Step-by-step explanation:
