Since we have a right triangle, we can apply Pythagorean theorem. The hypotenuse is always in from of the righ angle, then we can write
\(18^2=x^2+9^2\)which gives
\(324=x^2+81\)By subtracting 81 to both sides, we have
\(\begin{gathered} 243=x^2 \\ or\text{ equivalently,} \\ x^2=243 \end{gathered}\)By taking square root to both sides, we get
\(\begin{gathered} x=\sqrt[]{243} \\ x=15.588 \end{gathered}\)Therefore, by rounding to the nearest tenth, the answer is 15.6 units
help me fast rapidly is of khan academy:
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIESTFive years older than Mukhari. Find the value of the expression if Mukhari is 43 years old.
I dont know how to dis um can yalls help me yalls are so nice for helping me thx
Answer:
5 gallons
Step-by-step explanation:
the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
A high school band raises $6,764 to buy instruments and uniforms for its members. Half the money is spent on new instruments, They buy 38 new uniforms with the remaining money What is the cost of each new uniform? Use the number pad to enter your answer in the box.
Answer: The cost of each new uniform is $89.
Lola, Andre, and Erick had a challenge to see who could run the
farthest in a month. Lola ran 16 miles. Andre ran 3 times as many
miles as Erick, and Erick ran 5 times as many miles as Lola.
How many miles did Andre run?
You can earn 3 coins
Answer:
240 miles
Step-by-step explanation:
Lola ran 16 miles, Erick ran 5 miles. Multiply 16 and 5 to get 16*5. So Erick ran 80 miles. Andre ran 3 times more than Erick, so we x3. You should get 240
(Histograms and Line Plots MC)
PLEASE HURRY HELP ME
A surfer recorded the following values for how far the tide rose, in feet, up the beach over a 15-day period.
2, 7, 8, 9, 12, 13, 14, 15, 16, 18, 20, 20, 21, 24, 25
Which of the following histograms best represents the data collected?
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 2, above 6 to 10 that stops at 4, above 11 to 15 that stops at 2, above 16 to 20 that stops at 4, and above 21 to 25 that stops at 3.
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 4, above 11 to 15 that stops at 5, above 16 to 20 that stops at 1, and above 21 to 25 that stops at 4.
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 5, above 11 to 15 that stops at 4, above 16 to 20 that stops at 2, and above 21 to 25 that stops at 3.
A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 3, above 11 to 15 that stops at 4, above 16 to 20 that stops at 4, and above 21 to 25 that stops at 3.
The histogram that best represents the data collected is C.
What is the histogram?A histogram titled Tides For 15 Days with an x-axis labeled Measurement In Feet with intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every one unit up to 7. There is a shaded bar above 1 to 5 that stops at 1, above 6 to 10 that stops at 5, above 11 to 15 that stops at 4, above 16 to 20 that stops at 2, and above 21 to 25 that stops at 3.
This is because the data lies within the range of 2 to 25 while the histogram maintains an accurate frequency of measurements per specified interval. The highest concentration of readings came from the 6 to 10 interval, followed by 11 to 15, then 1 to 5, 21 to 25, and 16 to 20.
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Thereare6redmarblesand11orangemarblesinabag.Yourandomly choose one of the marbles. What is the probability of choosing a red marble
The probability of choosing a red marble is 6/17.
What is the probability of choosing a red marbleThe probability of an event occurring is the number of favorable outcomes divided by the total number of possible outcomes.
To calculate this probability, we can use the formula:
P(red marble) = number of red marbles / total number of marbles
In this case, we substitute the numbers we know:
P(red marble) = 6 / 17
So the probability of choosing a red marble is 6/17 or approximately 0.35.
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The vertices of a polygon are L(2,4) M (2,7) N (8,7) O (8,4) P(6 0), and Q(4,0)Graph the polygon. Then
find its area
According to the information, we can infer that the area of this polygon is 34 units².
How to find the area of the figure?To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.
Rectangle 1
6 * 3 = 18
Rectangle 2
2*4=8
Triangle 1
2 * 4 / 2 = 4
Triangle 2
2 * 4 / 2 = 4
Total Area
18 + 8 + 4 + 4 = 34
Based on the above, we can infer that the total area of the polygon is 34 ² units.
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pls simplify 9a+3b-4a-2b
Answer:
its 5a+b don't report my answer because its correct
Step-by-step explanation:
Answer:
5a+b
Step-by-step explanation:
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1600 and the standard deviation is $100. What is the approximate percentage of buyers who paid more than $1900? What is the approximate percentage of buyers who paid less than $1400?What is the approximate percentage of buyers who paid between $1400 and $1600?What is the approximate percentage of buyers who paid between $1500 and $1700?What is the approximate percentage of buyers who paid between $1600 and $1700?What is the approximate percentage of buyers who paid between $1600 and $1900?
Answer:
(a) 0.14%
(b) 2.28%
(c) 48%
(d) 68%
(e) 34%
(f) 50%
Step-by-step explanation:
Let X be a random variable representing the prices paid for a particular model of HD television.
It is provided that X follows a normal distribution with mean, μ = $1600 and standard deviation, σ = $100.
(a)
Compute the probability of buyers who paid more than $1900 as follows:
\(P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})\)
\(=P(Z>3)\\=1-P(Z<3)\\=1-0.99865\\=0.00135\\\approx 0.0014\)
*Use a z-table.
Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.
(b)
Compute the probability of buyers who paid less than $1400 as follows:
\(P(X<1400)=P(\frac{X-\mu}{\sigma}<\frac{1400-1600}{100})\)
\(=P(Z<-2)\\=1-P(Z<2)\\=1-0.97725\\=0.02275\\\approx 0.0228\)
*Use a z-table.
Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.
(c)
Compute the probability of buyers who paid between $1400 and $1600 as follows:
\(P(1400<X<1600)=P(\frac{1400-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1600-1600}{100})\)
\(=P(-2<Z<0)\\=P(Z<0)-P(Z<-2)\\=0.50-0.0228\\=0.4772\\\approx 0.48\)
*Use a z-table.
Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.
(d)
Compute the probability of buyers who paid between $1500 and $1700 as follows:
\(P(1500<X<1700)=P(\frac{1500-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})\)
\(=P(-1<Z<1)\\=P(Z<1)-P(Z<-1)\\=0.84134-0.15866\\=0.68268\\\approx 0.68\)
*Use a z-table.
Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.
(e)
Compute the probability of buyers who paid between $1600 and $1700 as follows:
\(P(1600<X<1700)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})\)
\(=P(0<Z<1)\\=P(Z<1)-P(Z<0)\\=0.84134-0.50\\=0.34134\\\approx 0.34\)
*Use a z-table.
Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.
(f)
Compute the probability of buyers who paid between $1600 and $1900 as follows:
\(P(1600<X<1900)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1900-1600}{100})\)
\(=P(0<Z<3)\\=P(Z<3)-P(Z<0)\\=0.99865-0.50\\=0.49865\\\approx 0.50\)
*Use a z-table.
Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.
Answer:
Step-by-step explanation:
3√x -2/x^2
please show step by step of differentiation before combining the terms.
Answer:
Step-by-step explanation:
Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²
In differentiation if \(y = ax^{n}\), then \(\frac{dy}{dx} = nax^{n-1}\) where n is a constant and dy/dx means we are differentiating the function y with respect to x.
Applying the formula o the question given;
\(y= 3\sqrt{x} -2/x^2\\y = 3{x}^\frac{1}{2} - 2x^{-2} \\\\\)
On differentiating the resulting function;
\(\frac{dy}{dx} = \frac{1}{2}*3x^{\frac{1}{2}-1 } - (-2)x^{-2-1} \\\\\frac{dy}{dx} = \frac{1}{2}*3x^{-\frac{1}{2}} + 2x^{-3}\\ \\\frac{dy}{dx} = \frac{1}{2}*{\frac{3}{x^{\frac{1}{2} } }} + \frac{2}{x^{3} } \\\\\frac{dy}{dx} = {\frac{3}{2x^{\frac{1}{2} } }} + \frac{2}{x^{3} }\\\\\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }\)
To combine the terms, we will add up by finding their LCM.
\(\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }\\\frac{dy}{dx} = \frac{3x^3+4\sqrt{x} }{2x^{3} \sqrt{x}}\)
What is the value of the expression 8x - 10 when x = 5?
Answer:
30
Step-by-step explanation:
8x-10
8(5)-10
40-10
30
Answer:
30
Step-by-step explanation:
8x-10=?
where x is 5
All you have to do is replace the x in the equation 8x-10 with a 5.
Therefore, the equation will look like this.
8(5)-10
8(5)=40 Take the 40-10 and you get 30.
How is x to the power of 4 times x to the power of 3 different from x to the power of 4 divided by x to the power of 3?
HELP QUICK PLEASEEE
Answer:
Step-by-step explanation:
x^4(x^3) is x^7 (when multiplying two same variables with exponents you just add the exponents)
(x^4)/(x^3) is x^1 or just x (when dividing two same variables with exponents you just subtract the exponents)
HELP ME PLEASE PLEASE PLEASE PLEASE
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The products of segment lengths for the two chords are the same.
x(15) = (9)(5)
x = 9·5/15 . . . . . divide by 15
x = 3 . . . . . . simplify
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Find the slope between the two points: 1) (19,-16), (-7, -15) Choose Point 1: (X, Y) Choose: Point 2: (X2, Y2)
PLEASE HELP ME ASAP!! I WILL GIVE YOU BRAINLIEST!
The area of a rectangle is 44 m^2, and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the rectangle.
length :
width :
Answer:
Length:8
Width:5.5
Step-by-step explanation:
We're given area = 44m^2, and the formula for the area of a rectangle is the length multiplied by the width. So,
A = L * w = 44
We're given that the length is 3m shorter than 2 times the width, which is 2w - 3. "2w" is the same as "2 times the width", and the 3 is subtracted because it says 3m shorter than 2 times the width. So L = 2w - 3, and we can substitute that into our equation above.
(2w - 3)(w) = 44
2w^2 - 3w - 44 = 0
Use the quadratic formula here.
x = {3 ± √(-3)^2 - 4(-44)(2)}/2(2)
= {3 ± √9 + 352}/4
= (3 ± 19)/4
You'll get two answers, but remember, we're measuring the length of the sides of shapes, so it has to be positive. It's impossible to have negative lengths, so we're going to stick with the (3 + 19)/4 answer, which is 22/4, which is 5.5. However, we are not finished yet. This is just the width. Now we need to plug it into the equation for length, which was 2w - 3
2(5.5) - 3 = 11 - 3 = 8
The length is 8m and the width is 5.5m.
Natalie just invited
100
100100 guests to a party in her small house. The base of her house is a rectangle with dimensions
8
m
8 m8, start text, space, m, end text by
16
m
16 m16, start text, space, m, end text. It's a good thing she didn't invite the fire marshal to the party!
Move points to create an outline of Natalie's house on the grid below.
The solution is 6 units by 12 units.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, we have,
Since the measurements in meters are multiples of 4, it makes this problem a little easier.
First you divide 8 by 4 to get 2
Then divide 16 by 4 to get 4
After that you're going to multiply 3 units by both quotients separately.
So you multiply 3 by 2 to get 6
Then you multiply 3 by 4 to get 12
So, then you end up with a 6 unit by 12 unit drawing.
therefore, the answer is 6 units by 12 units.
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Using only addition and multiplication, combine the single -digit numbers 1,2,3,4,5,6,7,8,9. So they total 100. the number must stay in the same order (Parentheses are not needed)
It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.
To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9
In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108
Unfortunately, the sum obtained from this expression is 108, not 100 as required.
It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.
Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.
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Can I Plss get help on this homework number 1
1.
given the equation
\(y=0.32x-20.53\)where
x= number of times at bat
y=number of hits
y=? when x=175
then
\(y=0.32(175)-20.53\)\(y=56-20.53\)\(y=35.49\)then
Correct answer is option A
A player who is at bat 175 times should expect 35 hits
What is the volume of a rectangular prism with a length of 7.4 centimeters, a width of 3.2 centimeters, and a height of 2.5
centimeters?
O 59.2 cm
26.18 cm
23.93 cm
O 13.1 cm
Step-by-step explanation:
Volume of prism = 3.2 × 7.4 × 2.5
= 59.2 cm³
Answer:
59.2 cm³
Step-by-step explanation:
I Took the test (k12)
Anthony and his family went out to dinner last night. When the bill came, Anthony's mom figured out how much to tip their waiter. For a dinner bill of d dollars, she tips 0.20d dollars. The bill for the family's dinner was $56. How much did Anthony's family tip the waiter?
If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:
0.2 × 56
= $11.6
Therefore the waiter was tipped $11.6
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Answer:
A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.
Evaluate the expression 0.20d for d=56.
0.20d
=
0.20(56)
=
11.2
The family tipped the waiter $11.20.
You are driving across America from Knoxville, Tennessee to Nashville, Tennessee. It takes 2 hours and 20 minutes. Nashville is an hour behind Knoxville. If you leave Knoxville 11:13, What time will you arrive in Nashville?
The time that you will arrive in Nashville is 1:33.
How to compute the time?From the information given, the person leaves Knoxville at 11:13, and the journey takes 2 hours and 20 minutes.
Therefore the time when the person will arrive will be the addition of the time given.
This will be:
= 11:13 + 2:20
= 1:33
Therefore, the person will arrive by 1:33.
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find the horizontal asymptote for y= 5x/x+6 .
y = 0
y = −6
none
y = 5
Answer:
\(y = 5\)
Step-by-step explanation:
Given function:
\(y=\dfrac{5x}{x+6}\)
\(\implies y=5 \left( \dfrac{x}{x+6}\right)\)
\(\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1\)
\(\implies y\rightarrow5\)
\(\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1\)
\(\implies y\rightarrow5\)
As \(x\) approaches infinity and negative infinity, \(y\) approaches 5 (but never gets there). Therefore, the horizontal asymptote is \(y=5\)
In the linear function y=-6x+25 what is the initial value?
Answer:
you can choose any number as value of X .so you will get corresponding value of y
log base 4 of 9
HELPPPPPPPP
Answer:
1.58 ish
Step-by-step explanation:
For a logx y = z, x^z = y
So here, log4 9= 1.58 or so
1.5849625007
Expand and simplify
(2x2 + 3)(4x + 5) - 8x(x - 2)
If your grocery bills over the last four weeks were &203,&195,$180 and &238, what was the average bill?
Answer: $204
Step-by-step explanation:
203 plus 195 plus 180 plus 238 equals 816
816 divided by 4 equals 204
203+195=398
398+180=578
578+238=816
816/4=204
Find the supplement of the complement of 14?