Answer:
(x, y, z) ≈ (30.375, 12.369, 13.915)
Step-by-step explanation:
You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.
27/24 = x/27
x = 27²/24 = 30.375 . . . . . . multiply by 27
__
Likewise, the ratio of short side to long side is the same for each:
y/24 = (30.375 -24)/y
y² = 24(6.375)
y = √153 ≈ 12.369
__
And the ratio of short side to hypotenuse is the same:
z/30.375 = 6.375/z
z² = 30.375×6.375 = 193.640625
z = √193.640625 ≈ 13.915
Please Help its A Math Problem !! Is the following equation linear, quadratic, exponential or none of these?
f(x)=3x^2+2x
Question options:
Linear
Quadratic
None of these
Exponential
Answer:
I'm pretty sure that it's exponential but I'm still going over this topic in class.
Use the multiplier method to increase 88 pounds by 14% you must show your working
Answer:
100.32
Step-by-step explanation:
First, we have to find 14% of 88
14% of 88 is = 88 x 14/100
= 12.32
Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)
88 + (14% of 88)
= 88 + 12.32
=100.32 pounds
Lillie and Adam are simplifying the expression 643
Whose reasoning is correct?
Answer:
The first one
"Only Lillie is correct" that's the right answer.
Step-by-step explanation:
64^2/3 = 16
Solving distance problems-
10 points
Answer:
1. 54 and 9/20 km
2. 80 mm
3. 1.142 mi
4.0.83333 cm
Step-by-step explanation:
Do them all by the butterfly method.
Two numbers have a sum of 1,212 and a difference of 518. What are the two numbers?
Answer:
347 and 865
Step-by-step explanation:
Let the two number be x and y
Therefore, from the given information:
x + y = 1212
x - y = 518
Rewrite both equations to make x the subject:
x = 1212 - y
x = 518 + y
Equate equations and solve for y:
1212 - y = 518 + y
694 = 2y
y = 347
Substitute found value of y into one of the equations and solve for x:
x = 518 + 347
x = 865
Therefore, the two numbers are 347 and 865
There is a population of 56,950 bacteria in a colony. If the number of bacteria doubles every 370 hours, what will the population be 1,850 hours from now?
Answer:
370×1850= 6,84,500
and then
56,950+6,84,500=7,41,450
the population will be 7,41,450
The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.
Given:
The population of bacteria, P = 56950,
If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,
So, the no doubles 5 times in 1850 hrs,
Now if it doubles 1 time it will be 56950 × 2, and
for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2
P = 1822400
Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
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Solve for all values of x by factoring.
x2 – 2x – 28 = -6x + 4
X
=
There are two answers
Answer:
{4,-8}
Step-by-step explanation:
x^2 -2x -28 = -6x +4
x^2+4x-32=0
(x-4)(x+8) =0
x=4 or -8
select all fo the expressions that are equivilent to 6x + 1 -(3x-1)
6x+1-(3x-1)
6x+1-3x+16x-3x+1+1=3x+2
Will give Brainly Fivue starts and a tThanks
Answer:
y = x + 9
Step-by-step explanation:
Since each x input can be added by 9 to get the y outputs, the equation is y=x+9
Hope this helps :)
56 is what percent of 16?
Pls give me the answer and not a random website :)
Answer:
350%
56/100 x 100/100
56x100/16 x 100 would equal 350/100
what is math for
like what do we use it for whats the point of math no one uses it
Answer:
The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.
Step-by-step explanation:
The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
I will give some hints. We know most values, we have to solve for y as that is the remaining amount.
y = We have to find.
a = 550 mg (She takes this much)
r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)
t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.
I hope this helps!
Which expression is equivalent to 173. 1710 ?
A 173+10
th
(В
6 173-10
© 173.10
O
1710
Answer:
option C
Step-by-step explanation:
hope this help u
is 69 less then a right angle
Answer:
yes it is less then a right angle
Step-by-step explanation:
Please help me solve this
Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]
consider left side
[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]
= [tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{3x}{6} }[/tex]
= [tex]5^{\frac{4x}{6} }[/tex]
then
[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]
since the bases on both sides are equal, both 5 then equate exponents
[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24
Simplify.
Rewrite the expression in the form 8".
(8-8)(83) =
Answer:
Simplifying th exprsssion brings it down to zero
Hope this helps
Which choices are equivalent to the expression below? Check all that apply.
x + 2x + 9x
O A. 12x
O B. 12y3
O C. 12
D. (1 + 2+ 9)x
SUBMIT
For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8
Answer:
No it is not a solution to 6u-1<-19
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21
Can someone help this is due in like 20 minutes Find the value of x in the triangle shown below. 58° 6 6 5.8
Answer:
I'm wonde what it is because I like this stuff
The required value of angle x in the given triangle using the sine formula is 61.31
The triangle is shown in the figure, we have to determine the value of angle x in degrees.
To determine the angle, we must apply the sine formula using the angle-side combination.
Sine formula is given as:
sinA/a = sinB/b=sinC/c
sin58/5.8=sinx/6
Simplifying the above expression:
sinx=0.877
x = sin⁻¹(0.877)
x= 61.31°
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Lillian walked 5 miles in 3 hours. What was her walking rate in miles per hour?
3
Answer:
5/3
Step-by-step explanation:
Given:
5 miles per 3 hoursThe question:
Rate formatted in miles per hour.
Which would be:-
5 miles per 3 hours
= 5/3
-5x - 2y = 12 and 3x +2y = 8 using elimination as an ordered pair
Answer:
(-10, 19)
Step-by-step explanation:
Hey there!
In order to find the value of x and y, you need to make a system of equations
Now the question says to use elimination
The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.
In this case, the step of making equal values is already done for us since there is 2y in both equations
[tex]-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\[/tex]
What was done was called elimination
I added both equations together and when you add -2y and 2y, they eliminate each other
Now when you simplify the system, you get that x is equal to -10
Now we can substitute this value into the first or second equation
I am going to do the first equation
[tex]-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19[/tex]
So after substituting the x value in the equation, we got the y value
Which is 19
So the solution to this system of equations is:
(-10, 19)
I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?
A.
5 in.3
B.
7 in.3
C.
19 in.3
D.
29 in.3
7 in.3 hope it helps
8. Higher Order Thinking Colby's dog gave birth to 6 puppies. Each puppy in the litter now has a mass of about 3 kilograms. About how much is the mass of the litter of puppies in kilograms? In grams? Remember: 1,000 grams = 1 kilogram.
Answer:
18 kilograms and 18000 grams
Step-by-step explanation:
the answer in kilograms is 18. the reason why is 6 puppies x 3 kilograms per = 18. Next we need to convert 18 kilograms to grams. 1 kilo = 1,000. multiply 18 x 1,000 = 18000 grams. Please let me know if this helped!!
3. Si:{3x− (a − 2)y = 13 4x+ ay = 5 Es un sistema compatible determinado,determina el valor que no puede tomar “
Answer: yes
Step-by-step explanation:
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored
The percentage of cupcakes sold that day were mocha flavoured will be 57%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavoured.The percentage will be calculated as:-
P = 171 / 300
P = 0.57
P = 0.57 x 100
P = 57%
Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.
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Bao is mixing flour and water to make dough. The graph shows how much water he uses for different amounts of flour.
How many liters of water does Bao use per liter of flour?
Answer: He uses two litres of water for one litre of flour.
Step-by-step explanation:
i got the first part but cant figure out the second, help would be appreciated
Answer:
see explanation
Step-by-step explanation:
look at the explanation& answer photo
Pls help me with this
range is the highest minus the lowest
Step-by-step explanation:
so a is 599- 132 = 467
for b median is the middle number 132 and 599
so u add them then divide by 2 so the answer of b is 365.5
PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.
What is the volume of the snowball?
How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?
Answer:
Volume: 37.7cm3
It will melt in 21 minutes.
Step-by-step explanation:
Volume of a sphere: 4/3 x pi x r^2
4/3 X pi x 3^2 = 37.7cm3
37.7/1.8=20.943 minutes