Answer:
800 seconds or 13 minutes 20 seconds
Step-by-step explanation:
.......
Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?
find distance between (0,6) and (8,0)
with process.......
Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
=[tex]\sqrt{8^2 + (-6)^2}[/tex]
=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
A geometric sequence starts with 12,.
...,27,..., 60.75,...
where 12 is the first term, 27 is the third term and 60.75 the fifth term.
Work out the common ratio of the sequence.
What’s the answer?
Answer:
b
Step-by-step explanation:
it's right cause I took the quix
Write 240000 in standard form
Answer:
240,000
Step-by-step explanation:
standard form means the way you would write it
if 5x-26=x+50, then what is the value of x
Answer:
x = 19
Step-by-step explanation:
5x - 26 = x + 50
Subtract x on both sides of the equation.
4x - 26 = 50
Add 26 on both sides.
4x = 76
Now, divide by 4 on both sides.
x = 19
Answer:
x = 19
Step-by-step explanation:
5x-26=x+50
5x = 76 +x
4x = 76
x = 19
Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Answer:
Kiera has a lower ratio of raisins to nuts. (2:5)
Step-by-step explanation:
To find this, you would have to make the number of nuts the same in each to accurately compare them.
It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)
Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)
So I multiplied both the 2 and the 5 in 2:5 by 6 first.
Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.
So Kiera will have 12:30 and Desmond will have 15:30.
Then you can conclude that Kiera has the lower ratio.
PLEASE HELP!!
ILL GIVE MORE POINTS TO THE FASTEST ANSWER
. Which of these could be the side lengths of a right triangle? Highlight all possible answers. A. 4-7-10 B. 36-48-60 C. 6-10-14 D. 14-48-50
Answer:
B. ) 36-48-60
Step-by-step explanation:
From Pythagoras theorem, we can determine the sides of the triangle by testing the options
a^2 + b^2 = c^2
Then test the options
B. ) 36-48-60
36^2 + 48^2 = 60^2
3600 + 2304 = 3600
3600= 3600
Since both sides have equal values, then OPTIONS B express a correct sides of the triangle
C.) 6-10-14
6^2 + 10^2 = 14^2
36+ 100= 196
136= 196( it doesn't make an equality then it's not the answer
If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?
Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?
Answer:
7.61 miles
Step-by-step explanation:
Given that,
Haley hikes 3 miles north and 7 miles east.
We need to find the shortest distance from the campground to the waterfall. Let the distance is D.
It can be calculated as follows :
[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]
So, the shortest distance from the campground to the waterfall is 7.61 miles.
Pls I need help with this
Answer:
third side = 4
Step-by-step explanation:
third side is hypoenuse as it is opposite to 90 degree.
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotenuse)^2
2^2 + (2[tex]\sqrt{3[/tex] )^2 = hypotenuse^2
4 + 4*3 = hypotenuse^2
16 = hypotenuse^2
[tex]\sqrt{16}[/tex] = hypotenuse
4 = hypotensue
please help thank you
Answer:
50 ft²
Step-by-step explanation:
ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also
2(25) = 50 sq feet
You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?
Answer:
22 grams
Step-by-step explanation:
loses 50% of it's mass per 22 years
so after 22 years the mass would be 44 grams
22 years later would leave 50% of 44 grams = 22 grams
The polynomial x3 + 8 is equal to
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)
Step-by-step explain
The graph represents the piecewise function:
100 POINTS !!!
Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42
The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.
Answer: [tex]-6,13[/tex]
Step-by-step explanation:
Given
The sum of the two numbers is 20
and the difference of the two is -6
Suppose, the numbers are x and y
[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]
[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]
[tex]\therefore y=13[/tex]
Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]
I need help with this problem pls help!
i’m so confused on how to do it
Answer:
785.4
Step-by-step explanation:
The formula to find the surface area of a cylinder is
2* pi* radius* height + 2* pi* 2radius.
2( 3.14) (5) (20)= 628
2 (3.14* 5*5)= 157
628+ 157= 785.
An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?
Answer:
The author sold a total of 30240 books following this trend.
Step-by-step explanation:
Let's find 5% of 14400 first;
14400 * 5%
14400 * 5/100
144 * 5
720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)
=> aₙ = a₁ + r(n - 1)
=> a₂₃ = 14400 + 720(23 - 1)
=> a₂₃ = 14400 + 720(22)
=> a₂₃ = 14400 + 15840
=> a₂₃ = 30240
Hope this helps!
The author sold a total of 30240 books following this trend.
Let's find 5% of 14400 first;
[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]
What is an arithmetic progression?A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.
So using the arithmetic progression we have:
[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]
See more about arithmetic progression at brainly.com/question/20385181
PLEASE ANSWER THIS QUESTION IM BEGGING YOU !
Answer:
5/36
Step-by-step explanation:
There are 12 tiles
P( blue) = blue /total = 5/12
We put the first tile back so there are still 12 tiles in the bag
P(yellow) = yellow/total = 4/12 = 1/3
P( blue, yellow) = 5/12 * 1/3 = 5/36
An angle is bisected by a segment forming two new angles find m
Answer:
60
Step-by-step explanation:
Note that angle ZXY is the bisected angle which was split into angle 1 and 2
Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )
If angle 2 = 30 then angle 1 also = 30
Like stated multiple times angle ZXY is made up of angle 1 and 2
Hence, Angle ZXY = Angle 1 + Angle 2
Angle ZXY = 30 + 30 = 60
Test question........................
You Have Passed Thy Test!!! BADAAAA (\•o•/)
Victor wanted to know the height of a tree at his friend’s house. On Saturday morning, he measured the shadow of the tree along the ground to be 24 feet long. At the same time, he measured his own shadow to be 3 feet long. Victor is 6 feet tall. Find the height of the tree
Ratio remains same
Let that be x[tex]\\ \rm\rightarrowtail \dfrac{6}{3}=\dfrac{x}{24}[/tex]
[tex]\\ \rm\rightarrowtail 2=x/24[/tex]
[tex]\\ \rm\rightarrowtail x=48[/tex]
2x²+5x-3=0
using completing the square method
Answer:
[tex]2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3[/tex]
Answer:
x= [tex]\frac{1}{2}[/tex] or x= -3
Step-by-step explanation:
[tex]\boxed{x^{2} +kx=(x+\frac{k}{2})^{2} -(\frac{k}{2})^{2} }[/tex]
First ensure that the coefficient of x² is 1.
x² +[tex]\frac{5}{2}[/tex]x -[tex]\frac{3}{2}[/tex]= 0
[x +([tex]\frac{5}{2}[/tex] ÷2)]² -([tex]\frac{5}{2}[/tex] ÷2)² -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])² -([tex]\frac{5}{4}[/tex])² -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])²- [tex]\frac{25}{16}[/tex] -[tex]\frac{3}{2}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])² -[tex]\frac{49}{16}[/tex]= 0
(x +[tex]\frac{5}{4}[/tex])²= [tex]\frac{49}{16}[/tex]
x +[tex]\frac{5}{4}[/tex]= [tex]\sqrt{\frac{49}{16} }[/tex] (square root both sides)
x +[tex]\frac{5}{4}[/tex]= ±[tex]\frac{7}{4}[/tex]
x= -[tex]\frac{5}{4}[/tex] +[tex]\frac{7}{4}[/tex] or x= -[tex]\frac{5}{4}[/tex] -[tex]\frac{7}{4}[/tex]
x= [tex]\frac{1}{2}[/tex] or x= -3
What is the median of this data set? Enter your answer as a decimal in the box median=
Median is the middle value.
Writing the values from smallest to largest you have :
1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8
There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.
The Median is 2/8
Answer:
2/8 is the median. In decimal, it is 0.25.
Happy learning!
--Applepi101
simplify 26a+4a-10a
Answer:
20a
Step-by-step explanation:
26a+4a-10a=30a-10a=20a
Answer:
20a
Step-by-step explanation:
26a+4a-10a
since they are like terms u can add and subtract them
=30a-10a
=20a
Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Answer:
See explanation for matching pairs
Step-by-step explanation:
Equations
(1)
[tex]x - y = 25[/tex]
[tex]2x + 3y = 180[/tex]
(2)
[tex]2x - 3y = -5[/tex]
[tex]11x + y = 550[/tex]
(3)
[tex]x - y = 19[/tex]
[tex]-12x + y = 168[/tex]
Solutions
[tex](-17,-36)[/tex]
[tex](47, 33)[/tex]
[tex](51, 26)[/tex]
Required
Match equations with solutions
(1) [tex]x - y = 25[/tex] and [tex]2x + 3y = 180[/tex]
Make x the subject in: [tex]x - y = 25[/tex]
[tex]x = 25 + y[/tex]
Substitute [tex]x = 25 + y[/tex] in [tex]2x + 3y = 180[/tex]
[tex]2(25 + y) + 3y = 180[/tex]
[tex]50 + 2y + 3y = 180[/tex]
[tex]50 + 5y = 180[/tex]
Collect like terms
[tex]5y = 180-50[/tex]
[tex]5y = 130[/tex]
Solve for y
[tex]y =26[/tex]
Recall that: [tex]x = 25 + y[/tex]
[tex]x = 25 + 26[/tex]
[tex]x = 51[/tex]
So:
[tex](x,y) = (51,26)[/tex]
(2) [tex]2x - 3y = -5[/tex] and [tex]11x + y = 550[/tex]
Make y the subject in [tex]11x + y = 550[/tex]
[tex]y = 550 - 11x[/tex]
Substitute [tex]y = 550 - 11x[/tex] in [tex]2x - 3y = -5[/tex]
[tex]2x - 3(550 - 11x) = -5[/tex]
[tex]2x - 1650 + 33x = -5[/tex]
Collect like terms
[tex]2x + 33x = -5+1650[/tex]
[tex]35x = 1645[/tex]
Solve for x
[tex]x = 47[/tex]
Solve for y in [tex]y = 550 - 11x[/tex]
[tex]y = 550 - 11 * 47[/tex]
[tex]y = 550 - 517[/tex]
[tex]y = 33[/tex]
So:
[tex](x,y) = (47,33)[/tex]
(3)
[tex]x - y = 19[/tex] and [tex]-12x + y = 168[/tex]
Make y the subject in [tex]-12x + y = 168[/tex]
[tex]y = 168 + 12x[/tex]
Substitute [tex]y = 168 + 12x[/tex] in [tex]x - y = 19[/tex]
[tex]x - 168 - 12x = 19[/tex]
Collect like terms
[tex]x -12x = 168 + 19[/tex]
[tex]-11x = 187[/tex]
Solve for x
[tex]x = -17[/tex]
Solve for y in [tex]y = 168 + 12x[/tex]
[tex]y =168-12 *17[/tex]
[tex]y =-36[/tex]
So:
[tex](x,y) = (-17,-36)[/tex]
HELP PLSSSSSSSZzzzzzzzzzzzz
Answer:
w equal to 9z
or z equals to w/9
Solve 270=3e^2.4K to the nearest hundredth
If you can solve this for me could you please give steps so I can understand, please and thank you so much!
Given:
The equation is:
[tex]270=3e^{2.4K}[/tex]
To find:
The solution for the given equation to the nearest hundredth.
Solution:
We have,
[tex]270=3e^{2.4K}[/tex]
Divide both sides by 3.
[tex]\dfrac{270}{3}=e^{2.4K}[/tex]
[tex]90=e^{2.4K}[/tex]
Taking ln on both sides, we get
[tex]\ln (90)=\ln e^{2.4K}[/tex]
[tex]\ln (90)=2.4K[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 2.4.
[tex]\dfrac{\ln (90)}{2.4}=K[/tex]
[tex]\dfrac{4.4998}{2.4}=K[/tex] [tex][\because \ln (90)\approx 4.4998][/tex]
[tex]1.874916667=K[/tex]
Round the value to the nearest hundredth (two decimal place)
[tex]K\approx 1.87[/tex]
Therefore, the value of K is 1.87.
