Answer:
x=8
Step-by-step explanation:
x²+x²=(8 root2)²
2x²=128
÷2 on both sides
=x²=64
square root each side
so x=8
Apply Pythagorean theorem
P²+B²=H²x²+x²=(8√2)²2x²=(8√2)²2x²=128x²=128/2x²=64x=√64x=8A team sells their jerseys for 40% more than it costs to have them made. What is the selling price of a jersey that cost the team $25.
Answer:
$35.
Step-by-step explanation:
SP = 25 + 0.40*25
= 25 + 10
= $35.
There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many smarties as marshmallows. What proportion of the bag of sweets are cola bottles?
Give your answer in its simplest form
(1)
If there are three times as many males as females, the ratio of males to females would be 3:1.
To make this more clearer. Suppose you have 100 students. for each 4 students, 3 of them are male and 1 is a female.
We can then say there are 75 males and 25 females.
Expressing this as a ratio(fraction) is easy 3 out of 4 are males and 1 out of 4 are females. So the ratio of males would be;
[tex]r(m) = \frac{3}{4} [/tex]
(2)
Let x be the number of cola bottles
Let y be the number of smarties
Let z be the number of marshmallows
x=3y (since there are 3 times more x than y)
y=2z (since there are 2 times more y than z)
we know that marshmallows are twice as less as smarties. so for 1 marshmallow you'd have 2 smarties. But we also know that cola bottles should be 2×3=6 since we have 3 times more cola bottles than smarties.
Adding up our total sweets we get;
1+2+6=9
But how many of those are cola bottles? 6!
So the ratio of cola bottles can be expressed as,
[tex]r(c) = \frac{6}{9} = \frac{2}{3} [/tex]
You can simplify the numerator and denominator by 3 to get 2 over 3.
A city that has an elevation of 15 meters is closer to sea level than a city that has an elevation of -10 meters.
Answer:
Step-by-step explanation: Your answer will be -10 because even though -10 is much lower than 15 it’s still closer to sea level.
19, 19, 27, 93, 121, 203, 291, 372, 389, 405, 453, 493, 549, 565, 775
Find the (median, mode, range, and mean) of the data set, and pls show how to find each of them.
Answer:
mean: 318.266
median: 372
mode: 19
range: 756
Step-by-step explanation:
to find the mean or the average, add all the numbers up and divide them by how many there are. example: 5 + 5 + 5 = 15 ÷ 3 = 4
to find the mode, all you have to do is find the number that is most common, there can be multiple modes
for the range, you subtract the smallest number from the largest
finally, to get the median, you put all the numbers in order from smallest to biggest and make your way to the number in the middle, if there are two numbers in the middle, add them up and divide them by two
Answer:
Mean: 298.87
Mode: 19
Median: 372
Range: 756
Step-by-step explanation:
Mean is the sum of terms over the total number of terms.
(19+19+27+93+121+203+372+389+405+453+493+549+565+775)/15 = 298.87
Mode is the most repeated term or value in the set.
(19,19,27,93,121,203,372,389,405,453,493,549,565,775) the only value repeated is 19
Median is the middle of the data set.
With 15 values the middle is 372
Range is the extent of all values between smallest and largest values
Largest values is 775, and the smallest is 19. 775-19 = 756
a=12, b=5, c= ? what is C
Answer:
17 or 7
Step-by-step explanation:
if im right brainliest pls
?
what is the area of the triangle
Answer:
6
Step-by-step explanation:
A=(bh)/2
a=(4*3)/2
a=12/2
a=6
Answer: 12 units 2
Step-by-step explanation:base times hight
Consider the graph of the quadratic function. Which
interval on the x-axis has a negative rate of change?
-2 to -1
-1.5 to 0
0 to 1
1 to 2.5
The only interval with a negative rate of change is the last one:
[1, 2.5]
When the rate of change is negative?
For an interval (a, b) and a function f(x), the rate of change is defined as:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
So the rate of change is only negative when the function evaluated on the first value of the interval is larger than the function evaluated in the second one.
For example, on the interval [1, 2.5} we can see that:
f(1) = 3
f(2.5) = -1
Then on this interval, the rate of change will be negative, meaning that this is the correct option.
If you want to learn more about rates of change, you can read:
https://brainly.com/question/8728504
Answer:
It's D: 1 to 2.5
Step-by-step explanation:
It's D: 1 to 2.5
100 Points and Brainly.
Graph The equation: y=(-x)-6
Gibberish for points WILL NOT be tolerated.
Please, if you can, try to make the mark ON the picture I have provided, in red.
function : y = (-x) - 6
Find x-intercept :
(-x) - 6 = 0(-x) = 6x = -6Find y-intercept :
y = (-0) - 6 y = -6mark these two points on both the axis and draw a straight linear graph.
passes coordinates : (0, -6), (-6, 0)
[tex]\\ \rm\rightarrowtail y=-x-6[/tex]
Take some point s
(1,-7)(2,-8)(3,-9)Graph it
solve picture question
Answer:
As it ایس the correct answer is 45
78
7.90
Answer:
Its me Viktor Kozhanov may I have brainliest pleaseI also answered all you questions so give brainliest to those as well
Step-by-step explanation:
find x correct to 2 decimal places
Answer:
Step-by-step explanation:
How to find an slope
Answer:
Y2-Y1
____
X2-X1
To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.
I THINK IT IS HELPFUL FOR YOU.?
A coin is flipped 8 times. Find the probability of the event: Exactly 5 heads
a.0.625
b.0.03125
c.0.219
d.0.0039
Answer:
c. 0.219
Step-by-step explanation:
If the coin is fair, then the probability of flipping a head is 1/2 = 0.5
Therefore, we can model this as a binomial distribution:
X ~ B(n, p) where n is the number of events and p is the probability of success
Given:
n = 8p = 0.5X ~ B(8, 0.5)
Using a calculator:
P(X = 5) = 0.21875 = 0.219 (3 dp)
Using the formula:
[tex]\sf P(X=x)=\dfrac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]
(where n is the number of events, x is the number of desired successes and p is the probability of success)
[tex]\sf \implies P(X=5)=\dfrac{8!}{(8-5)!5!}0.5^5(1-0.5)^{8-5}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{8!}{3!5!}0.5^50.5^3[/tex]
[tex]\sf \implies P(X=5)=56 \cdot 0.5^8[/tex]
[tex]\sf \implies P(X=5)=56 \cdot \dfrac{1}{256}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{7}{32}[/tex]
[tex]\sf \implies P(X=5)=0.21875[/tex]
If told that |A|=48 what are the possible values for X.
Please help!
If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.
How to use determinant to find a value in a matrix?The determinant of the matrix A is as follows:
|A| = 48
Therefore,
48 = (3x × 2x) - (4x × 3)
48 = 6x² - 12x
6x² - 12x - 48 = 0
3x² - 6x - 24 = 0
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x(x + 2 -4(x + 2) = 0
(x - 4)(x +2) = 0
Therefore,
x = 4 or -2
learn more on determinant here: https://brainly.com/question/19206601
Please help! Consider the given circle with the shaded sector xy and central angle 225. The circumference is 30 units
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}[/tex]
Each letter in the word THEORETICAL is written on a separate slip of paper and placed in a hat. A letter is chosen at random from the hat.
d. Find a word for which the probability that you choose R when you randomly choose a letter from the word is 2/5.
Answer:
parry
Step-by-step explanation:
You are looking for a 5-letter word that has two letters R in it. One such is ...
parry
Write the next whole number after 4444 in the base-five system.
====================================================
Explanation:
4+1 = 5 in base 10
But in base 5, the digit "5" does not exist.
The only digits in base five are: 0, 1, 2, 3, 4
This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).
----------------
Anyways let's go back to base 5.
Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.
Think how 9+1 = 10 in base 10.
Similarly,
44+1 = 100 in base 5
444+1 = 1000 in base 5
4444+1 = 10000 in base 5
and so on.
----------------
Here are the first few numbers in base 5, when counting up by 1 each time.
0, 1, 2, 3, 4,
10, 11, 12, 13, 14,
20, 21, 22, 23, 24,
30, 31, 32, 33, 34,
40, 41, 42, 43, 44,
100, 101, 102, 103, ...
Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.
A triangle has an angle measuring 90., an angle measuring 20., and a side that is 6 units long. The 6-unit side is in between
the 90 and 20. angles.
Is this a picture of the above triangle?
yes - true
no-false
Will give branliest
Yes :- true
as in the diagram 6 units in between the 20° and 90° and third angle will be 180-110 = 70°
Triangle with angle 90 and 20 degree possible as it Satisfies the angle sum property.
What is Angle Sum Property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.
Given:
angles= 20 and 90 degree
Using Angle Sum property
20 + 90 + <3 =180
<3 = 180 - 110
<3 =70
Hence, the Triangle with angle 90 and 20 degree possible as it Satisfies the angle sum property.
Learn more about Angle Sum Property here:
https://brainly.com/question/4316040
#SPJ2
10 people put their names into 2 different drawings what is the probability the same person will win both?
Answer:
2/20 chance that they get both the prizes
What is five sixths divided by nine thirds?
Answer:
0.270.27777777777
Step-by-step explanation:
You draw a diagram and color each side in for both of them
how to express 1 cm as a fraction of 1 meter in decimal form
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]
Let's see ~
Remember : value of 1 meter = 100 centimeters
[tex]\qquad \sf \dashrightarrow \:1 \: m = 100 \: cm[/tex]
[tex]\qquad \sf \dashrightarrow \:1 \: cm = \frac{1}{100} \: m[/tex]
[tex]\qquad \sf \dashrightarrow \:1 \: cm = 0.01 \: m[/tex]
・ .━━━━━━━†━━━━━━━━━.・
As we know
100cm=1mSo
turn down to fraction
[tex]\\ \rm\rightarrowtail \dfrac{1}{100}[/tex]
Turn to decimal
[tex]\\ \rm\rightarrowtail 0.01m[/tex]
Please help pls pls pls pls it’s due soon
Answer:
the answer is 67.5
Step-by-step explanation:
look at the photo
A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive substance. After 19 hours, 95 mg of the substance remains. How many milligrams will remain after 36 hours?
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
Evaluate UV if possible.
Answer: B
Step-by-step explanation:
Multiply U and V:
[tex]\begin{pmatrix}-9&1&0\\ \:4&0&2\\ \:0&1&5\end{pmatrix}\begin{pmatrix}2\\ \:-2\\ \:1\end{pmatrix}[/tex]
[tex]\mathrm{Multiply \ the \ rows \ of \ the \ first \ matrix \ by \ the \ columns \ of \ the \ second \ matrix:}[/tex]
[tex]\begin{aligned}&\left(\begin{array}{ccc}-9 & 1 & 0\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=(-9) \cdot 2+1 \cdot(-2)+0 \cdot 1 \\&\left(\begin{array}{ccc}4 & 0 & 2\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=4 \cdot 2+0 \cdot(-2)+2 \cdot 1 \\&\left(\begin{array}{lll}0 & 1 & 5\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=0 \cdot 2+1 \cdot(-2)+5 \cdot 1\end{aligned}[/tex]
[tex]=\begin{pmatrix}\left(-9\right)\cdot \:2+1\cdot \left(-2\right)+0\cdot \:1\\ 4\cdot \:2+0\cdot \left(-2\right)+2\cdot \:1\\ 0\cdot \:2+1\cdot \left(-2\right)+5\cdot \:1\end{pmatrix}[/tex]
[tex]\mathrm{Simplify\:each\:part:}[/tex]
[tex]=\begin{pmatrix}-20\\ 10\\ 3\end{pmatrix}[/tex]
Therefore, the correct answer is B
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
A) The transformations can be a vertical translation and an horizontal translation.
B) K = 8 and K' = 16
C) g(x) = f(x + 8)
g(x) = f(x) + 16.
Which type of transformation could be used?
A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.
B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.
In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.
C) How to write the equations?
An horizontal translation is written as:
g(x) = f(x + K).
Because the translation is to the left, we have that K is positive, then in our case we have:
g(x) = f(x + 8).
For the vertical translation the formula is:
g(x) = f(x) + K'
In our case, we have:
g(x) = f(x) + 16
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
Answer:The transformations can be a vertical translation and an horizontal translation.B) K = 8 and K' = 16C) g(x) = f(x + 8) g(x) = f(x) + 16.Which type of transformation could be used?A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.C) How to write the equations?An horizontal translation is written as:g(x) = f(x + K).Because the translation is to the left, we have that K is positive, then in our case we have:g(x) = f(x + 8).For the vertical translation the formula is:g(x) = f(x) + K'In our case, we have:g(x) = f(x) + 16
Step-by-step explanation:
9 ft
58.5 ft
33 ft
16.5 ft
4 and 1/3 times 4 and 1/5
Answer:
The answer is 18.2 OR 18 1/5
Step-by-step explanation:
Hope it helps
This figure represents a compartment in a container for storing office supplies. Another compartment is identical except that it is 2 centimeters taller.
What is the difference in volume of the two compartments?
Enter your answer in the box.
Answer:
140cm³
Step-by-step explanation:
Credit: yaretzigutierrez50
Answer:
140cm
Step-by-step explanation:
write THREE equivalent fractions for the following fractions:
25/50 = ___ = ___ =____
Answer:
25/50 = 5/10 = 1/2
Step-by-step explanation:
I hope it will be helpful
Answer:
25/50 = 5/10 = 1/2Hooe this helps you :)ome friends went to the local movie theater and bought four large buckets of popcorn and six boxes of candy. The total for the snacks was $46.50. The last time you were at the theater, you bought a large bucket of popcorn and a box of candy, and the total was $9.75. How much would 2 large buckets of popcorn and 3 boxes of candy cost?
Type the price of one bucket of popcorn here.
Type the price of one box of candy here.
How much would 2 large buckets of popcorn cost?
How much would 3 boxes of candy cost?
How much would 2 large buckets of popcorn and 3 boxes of candy cost?
Answer:
One bucket of popcorn: 6$
One box of candy: $3.75
2 buckets of popcorn: $12
3 boxes of candy: $11.25
2 buckets of popcorn and 3 boxes of candy: $23.25
Step-by-step explanation:
We can find the cost of one bucket of popcorn and one box of candy using a system of equations
[tex]4P + 6C=46.50\\P + C =9.75[/tex]
We can use the elimination method and thus multiply the second equation by -4:
[tex]4P + 6C = 46.50\\-4(P+C=9.75)\\\\4P + 6C = 46.50\\-4P -4C=-39\\\\2C = 7.5\\\\C = 3.75[/tex]
We can plug C into the second equation to find P:
[tex]P + 3.75 = 9.75\\P = 6[/tex]
Thus, the cost of two buckets of popcorn is 6 * 2 = $12
And the cost of three boxes of candy is 3.75 * 3 = $11.25
And the cost of both two buckets of popcorn and three boxes of candy is (6*2) + (3*3.75) = 12 + 11.25 = $23.25
- - Use the Quadratic Formula to solve the equation x2 – 2x = -9.