Answer:
x=5
y=2
w= -5
Step-by-step explanation:
We have that the two matrix are equal, so all corresponding elements are equal.
X-Y=3
From the second row and second column, we have y=2
so x-2=3
x=5
From the third row and the first column, we have w= - 5
PLEASEEEE HELLLLP MEEEE
Answer:
c. 20/21
Step-by-step explanation:
You just multiply straight
3×7 = 21
4×5 =20
21/20 <---- and it can't be reduced farther than this.
Answer:
C. ²¹⁄₂₀
Step-by-step explanation:
OKOKOK DON'T WORRY I'M HERE :)))
--
When multiplying fractions, you multiply the numerators together and then multiply the denominators together.
The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).
The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).
Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.
Hope this helped!!
Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?
How long, to the nearest day, until it is safe to swim again will be 156 days
Let x represent number of day until it is safe to swim again
First step
=2000 *1/2^x
100=2000 *0.5^x
0.05=0.5^x
Second step
Log 0.05=xLog 0.5
Log 0.05/L0g 0.5=x
x=36 days* Log 0.05/L0g 0.5
x=36 days*43.22
x=156 days
Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days
Learn more about radioactive element here:
https://brainly.com/question/13812761
Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.
PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
HELP, round to the nearest penny.
$11,579.9998
Answer:
11,580.00
Step-by-step explanation:
So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00
Hope this helps!!! Have a good rest of your day! :)
Function f is graphed. According to the graph, is f even, odd, or neither?
Answer:
C
Step-by-step explanation:
f is neither even nor odd
Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)
Answer:
The length of each hot dog is 0.5000 inches.
Step-by-step explanation:
Total number of hot dogs eaten = 7 000 000 000
Circumference of the earth = 24 860 miles
21.5 times the circumference of the Earth = 21.5 x 24 860 miles
= 534490 miles
But,
1 mile = 5280 feet
So that,
534490 miles = X
X = 5280 x 534490
= 287707200 feet
Also,
1 feet = 12 inches
Then,
287707200 feet = Y
Y = 12 x 287707200
= 3452486400 inches
Thus,
the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]
= 0.4932
The length of each hot dog is 0.5000 inches.
Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?
Answer:
75% of the specials served were salmon fillets
Step-by-step explanation:
We have that:
15 + 5 = 20 specials were served.
Of those, 5 were salmon fillets.
What percentage of the specials served were salmon fillets?
15*100%/20 = 75%
75% of the specials served were salmon fillets
Pls help. I really suck at math.
Determine whether the following polygons are similar.
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
Which polygon has an interior angle sum of 1080°?
Answer:
its octagon. first and last one it has total 8 sides
factorize: xy-3x - 5y + 15
Answer:
Step-by-step explanation:
xy-3x-5y+15
x(y-3)-5(y-3)
(y-3)(x-5)
HELPPP PLEASE!!!
Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.
Answers:
The expression is 12n
He reads 84 books in 7 months
==================================================
Explanation:
For 1 month, he has read 12*1 = 12 books
For 2 months, he has read 12*2 = 24 books
For 3 months, he has read 12*3 = 36 books
and so on
If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.
If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.
Need help ASAP please
Answer:
10
Step-by-step explanation:
1. AB
2 BC
3. CD
4. DE
5. AC
6. B D
7.CE
8.AD
9.BE
10. A E
Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40
Answer:
Step-by-step explanation:
v=√u*u- 2qs
[tex]\sqrt{20}[/tex] x 20 - 2q40 = 8[tex]2\sqrt{5}[/tex] x 20 - 2q40 = 840[tex]\sqrt{5}[/tex] - 2q40 = 8- 2q40 = 8 - 40[tex]\sqrt{5}[/tex]-80q = 8 - 40[tex]\sqrt{5}[/tex] q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018Above given answer is correct.
In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)
Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val
Answer:
h=17.3 A=173
Step-by-step explanation:
Calculator
Answer:
height = 17.3 mm
area = 173 mm²
Step-by-step explanation:
all three sides are of the same length (20 mm).
so, the height actually splits the baseline in half
(2 × 10 mm) while hitting it at a 90 degree angle.
so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.
c² = a² + b²
20² = 10² + height²
400 = 100 + height²
300 = height²
height = 17.3 mm
the area of the main triangle is baseline (20) times height divided by 2.
so,
At = 20×17.3/2 = 10×17.3 = 173 mm²
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
please help, I'm so confused how to-do this
Answer:
Step-by-step explanation:
use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0
[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]
y = 17.07106~ or 2.928932~
The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?
Answer:
3.1
Step-by-step explanation:
5 x5 =25
25+3=28
the other children are 4 years old
if three less than one half a number is equal to one-third of the same number, find the number
Answer: The number would be 18
Step-by-step explanation:
18/2=9 9-3=6 6*3=18
The equation be (x/2) - 3 = x/3 then, the number of x = 18.
How to estimate the value of x?To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Let x be the number
From the given information, we get
(x/2) - 3 = x/3
The set all the fractions on one side and constants on another side
(x/2) - (x/3) = 3
Multiply by LCM
3x - 18 = 2x
Add 18 to both sides
3x - 18 + 18 = 2x + 18
simplify
3x = 2x + 18
Subtract 2x from both sides
3x - 2x = 2x + 18 - 2x
x =18.
Therefore, the number is x = 18.
To learn more about algebraic expression refer to:
https://brainly.com/question/4541471
#SPJ2
please help with number 9!!!
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
18h +4
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
=2( 7h+8 + 2h-6)
Combine like terms
= 2( 9h+2)
Distribute
= 18h +4
Find the missing side lengths
Answer:
u is 17√2 and v is 17
Step-by-step explanation:
To find u:
[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]
feed in the terms:
[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]
To find v:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
feed in the terms:
[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]
what is the external angle of a polygon where the corresponding interior angle equals 105 degrees
Answer:
75 degrees maybe.......
Answer:
75 degrees
Step-by-step explanation:
the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.
and because it is measured against a line, where we have a total of 180 degrees for angles, we have
exterior angle = 180 - interval angle = 180-105 = 75
If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year
Answer:
$3072
Step-by-step explanation:
It is given that :
I work for 4 hours everyday, working 2 days a week.
And in 1 hour , I get $8.
Therefore,
1 hour = $8
4 hours = 4 x 8
= $32
So, in 1 day working for 4 hours, I get $32.
∴ Working 2 days = 32 x 2
= $64
In 1 month, there are 4 weeks
So, in 4 weeks (or 1 month), I work for = 4 x 2
= 8 days
Therefore, in 8 days, I get = 8 x 32
= $256
Now there are 12 months in a year.
So, in 12 months , I will get = 12 x 256
= $3072
Therefore, in 1 year , I will get $3072.
Correct answer gets brainliest and 5 star
Answer:
d
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
the formula for slope is: y = mx + b
where m = slope & b = y intercept
so in y = -2x + 1,
m (slope) = -2 & b (y-int) = (0,1)
