Answer:
14.3
Step-by-step explanation:
$71.50 for 5 tickets
71.50 ÷ 5 = 14.3 there's no need to round the result.
What is the simplified value of the exponential expression 16^1/4
1/2
1/4
2
4
Answer:
2
Step-by-step explanation:
16 ^ (1/4)
Rewriting 16 as 2^4
2^4 ^ 1/4
We know that a^b^c = a^(b*c)
2 ^ (4*1/4)
2 ^1
2
The right answer is 2.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Evaluate the given expression.
C(10,4)
Answer:
c(10) = 4
Step-by-step explanation:
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
Automobile repair costs continue to rise with and average cost now at $367 per repair. Assume that the cost for an automobile repair has a standard deviation of $88.
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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How to solve adjacent angles?
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Type the correct answer in the box. Use numerals instead of words.
What is the solution of this equation?
-1/2n2 + 18 = 0
n = +
Answer: n = 6 or you can do n = -6
Step-by-step explanation:
solve for n and then the left hand side factors
into a product with for terms then multiply both sides by -2 then split into two equations after add 6 to both sides and subtract 6 from both sides.
#1
Real World Scenario
How far from the base of a barn
do you need to put a 20 foot
ladder so that the top of the
ladder will be 15 feet high? If
necessary, round your answer to
the nearest tenth.
Answer:
The top of the ladder is 12.69 feet away from the ground
Step-by-step explanation:
Length of the ladder is given to be 15 foot
Also, The base of the ladder is 8 feet away from the wall.
Now, The height of the ladder will be perpendicular to the surface of the ground
So, It will form a right angled triangle
Now, The base of the triangle will be 8 feet
Hypotenuse of the triangle will be 15 feet
And we need to find the perpendicular height of the triangle
By using Pythagoras theorem, We have
Hypotenuse² = Base² + Perpendicular²
⇒ 15² = 8² + Perpendicular²
⇒ Perpendicular = 12.69 feet
Therefore, The top of the ladder is 12.69 feet away from the ground
Or 12.70 from rounding to your nearest tenths
Help this helps and sorry for it being long
17 = 9 + 2r
r = what
Answer:
r = 4
Step-by-step explanation:
17 = 9 + 2r subtract both sides by 9
8 = 2r divide both sides by 2
4 = r
Answer:
r=4
Step-by-step explanation:
You have to get r on one side so you subtract nine on both sides to get rid of it so 8=2r
then you divide 2 m both sides and r=4
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
10. Which is the best estimate of the product of
13 and 49?
A 60
© 500
® 400
0 600
-10x - 2y = 28
y = -5x - 14
Answer:
parallel
(0, 0)
Step-by-step explanation:
I have no clue how to answer this so I'll do my best.
-10x - 2y = 28 y = -5x - 14
-2y = 10x = 28
÷-2 ÷-2 ÷-2
--------------------
y = -5x - 14
The lines are parallel
----------------------------------------------------------------------------------------------------------
I hope this helps!
The diameter of a circle is 5 centimeters. What’s the radius? Give the exact answer in simplest form
Answer:
2.5cm
Step-by-step explanation:
you half the diameter to get the radius
Inso ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, how many gallons of ice cream can 4
machines make?
The gallons of ice cream 4 machines can make is 650 gallons.
How to find the number of gallons of ice cream 4 machine can make?Two ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, the number of gallons of ice creams 4 machine can make can be calculated as follows:
Therefore,
If 2 ice cream machine = 320 gallons
4 ice cream machine = ?
cross multiply
Hence,
gallons of ice cream made by 4 machines = 320 × 4 / 2
gallons of ice cream made by 4 machines = 1280 / 2\
Therefore,
gallons of ice cream made by 4 machines = 640 gallons
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Find the value of 4!.
☺ Hi ☺
Find the value of 4!.
• Let's find the value of 4! :
\(4! = 4 × 3 × 2 × 1 = {24}\)
Determine whether each ordered pair is a solution of the equation y=2x+6
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.
PLease help, this is due tomorrow by 1 pm.
Note that the parameters of the graph a and graph b are given below.
Graph A - y=2(x-1)²
See graph attached.
Graph B - y = 1/2x² + 3
Vertex: The vertex of the function is (0, 3).
Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.
Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).
Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.
Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.
0 = 1/2 x² + 3
Subtracting 3 from both sides, we get:
-3 = 1/2 x²
Multiplying both sides by -2, we get:
6 = -x²
Taking the square root of both sides, we get:
x = ±√(-6)
Since the square root of a negative number is not a real number, the function has no real roots.
Minimum or maximum value: The minimum value of the function is 3.
Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.
Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.
Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.
See graph attached.
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Interpreting Algebraic Expressions
11+9k=6n
The expressions has 2 terms.
True or false?
The statement is false as the number of terms in the equation is not two
How to determine the number of terms?The equation is given as
11 + 9k = 6n
Consider an equation represented as
a + b = c
The variables a, b and c are the terms of the equation
This means that the equation 11 + 9k = 6n has the following terms
11, 9k and 6n
The number of these terms is 3
So, the equation has three terms
Hence, it is false that the equation has two terms
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Let f(x) = −x^3 − 8x^2 − 9x + 11. Identify the function g that reflects f across
the y-axis.
Answer:
\(g(x)=x^3-8x^2+9x+11\)
Step-by-step explanation:
\(f(x)=-x^3-8x^2-9x+11\)
When a function is reflected across the y-axis, negative x-values become positive, and positive x-values become negative.
Therefore, substitute -x in place of x in the function f(x):
\(g(x)=-(-x)^3-8(-x)^2-9(-x)+11\)
We know that \((-x)^3=-(x^3)\)
\(\implies -(-x)^3=--(x^3)=x^3\)
We know that \((-x)^2=x^2\)
\(\implies -8(-x)^2=-8(x)^2=-8x^2\)
Also \(-9(-x)=+ \ 9x\)
Therefore,
\(g(x)=x^3-8x^2+9x+11\)
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
For which interval is the function constant?
Answer:
с (-2;2)
Step-by-step explanation:
the function is constant means the graph is the horizontal line. This condition is performed when x∈(-2; 2).
The formula below represents the standard form of a quadratic equation,
ax2 + b + c = 0
Solve for b.
Answer:
\(b=-a^2-c\)
Step-by-step explanation:
Sofia has a bag containing 8 blue beads and 7 red beads only.
She takes one bead out of the bag at random and replaces it.
She does this 90 times.
Find the number of times she expects to take a red bead.
Answer:
The answer is 42 times.
Step-by-step explanation:
The probability of taking out the red bead from the bag every time is
P = 7 ÷ (7 + 8) = 7/15
So, The number of times she expects to take a red bead is 'n'
Therefore,
n = 90 × 7/15
n = 6 × 7 = 42
Thus, The number of times she expects to take a red bead is 42.
What is the LCM of 4 and 18
Answer:
36
Explanation:
Multiples of 4 are:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...
Multiples of 18 are:
18, 36, 54, 72, 90, 108, 126, 144,...
The least common multiple of 4 and 18 is 36.
A number from 1 to 10 is chosen at random. What is the probability of choosing a 2
or an even number?
Answer:
5/10
Step-by-step explanation:
there are 5 even number so the probability of choosingan even number is 5/10
WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answer:
2.5
Step-by-step explanation:
the length has increased by 7.5/3 = 2.5.
so the scale factor is 2.5
I have more question just don't get it wronge
Answer:
Relfection over the x axis
Step-by-step explanation:
It is the name shape but flipped onto the other side, therefore it is a reflection
Help please
Use the following figure to find the answer
Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
Answer:
Step-by-step explanation:
The slope is given to you by the line y = 1/4 x
The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.
The second part of the question is to use the given point to find b.
x = 4
y = -1
b = ? substitute x and y to find b
y = 1/4 * 4 + b
- 1 = 1/4 * 4 + b
-1 = 1 + b
-2 = b
The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.