Answer:
The distance is 144
Step-by-step explanation:
We solve this by using the Pythagorean Theorem.
Using the equation: a squared + b squared= c squared.
In this case, 9 squared + b squared = 15 squared.
So 81+b squared = 225
-81 -81
b= 144
A number that is at most 60
Answer:
60
Step-by-step explanation:
Answer:
60>x
Step-by-step explanation:
there is the line under the greater than sign
There are only about 400,000 African elephants left in the world today. They are
classified as endangered by the International Union for Conservation of Nature, and
the population continues to decrease by 9% per year. What will the population of
African elephants be in fifty years?
Answer:
In 50 years there'll be approximately 3582 elephants.
Step-by-step explanation:
If they are decreasing at a rate of 9% per year, it means it's population by year is:
population(0) = 400000
population(1) = population(0)*(100% - 9%) = population(0)*(91%)
population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²
population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³
And so on, so the number of population as years passes is:
population(n) = population(0)*(91/100)^n
In this case we want to know the population of elephants when n = 50, so we have:
population(50) = 400000*(0.91)^50 = 3582.033
In 50 years there'll be approximately 3582 elephants.
9x-y=-3
18x-7y=-21
A 0,3
B no solution
C 0,1
D -1,0
The ? of a right triangle are the sides that are adjacent to the right angle.
need asap!!!!!!!! please
Answer:
ZY = 14, SQ= 28
Step-by-step explanation:
Because of "ZR=ZS" and "YR=YQ", so we can apply the Thales theorem:
[tex]\frac{x+2}{3x-8}=\frac{RZ}{RS} =\frac{1}{2} \\[/tex]
so 2(x+2)= 3x-8
2x+4 = 3x-8
2x-3x= -8 -4
-x = -12
or x =12
ZY = x+ 2 = 12+ 2 = 14
SQ= 2*ZY= 2*14 = 28
Which expression is equivalent to 5x + 5y − 2z? Which property justifies the expressions being equivalent?
A) 5(x + y) − 2z; distributive property
B) 5(x + y − 2z); distributive property
C) 8xyz; subtraction property
D) 10xy − 2z: associative property
Answer:
5(x + y) − 2z; Distributive Property
Step-by-step explanation:
The coefficient for both 5x and 5y is 5; therefore, use the distributive property to rewrite the sum as 5(x + y).
Answer:
A) -4z^3+4z^2+6z+35
Step-by-step explanation:
Which values are solutions to the inequality below
Check all that apply
20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How many 4-digit multiples of 5 are there?
please have a formula and don't just write them all out. Thanks.
Answer:
First 4-digit multiple of 5 is 1000. It is the least 4-digit number and it is multiple of 5.
Last 4-digit number is 9999 which is not a multiple of 5 and so are 9998, 9997, 9996. Largest 4-digit number which is multiple of 5 is 9995.
Number of 4-digit multiples of 5 = 9995 − 1000 /5 + 1 = 8995/ 5 + 1 = 1799 + 1 = 1800
Step-by-step explanation:
A number x is said to be a multiple of number n if n divides the number x
. One important observation is if x is a multiple of n then the next multiple of n is x + n
. Hence the multiples of number n occur in differences of n
Suppose x and y are multiples of n
. Number of multiples of n between x and y
including them is given by y − x / n + 1
Because for every n numbers in between x and y there is a multiple of n
Combination helps to know the number of ways objects can be arranged. The 4-digit numbers that are multiples of 5 are 1800.
What is a combination?The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
In order to make a 4 digit number divisible by five the number must end with either 5 or 0, and for the number to be a 4 digit number, it can not start with 0. therefore, the first place can be occupied by any number from 1 to 9, the second place can be occupied by any number from 0 to 9, the third number can be occupied by any number from 0 to 9, and the fourth number can be occupied by any number from 0 or 5. Thus, the possible options are,
[tex]= ^9C_1 \times ^{10}C_1 \times ^{10}C_1 \times ^2C_1\\\\= 9 \times 10 \times 10 \times 2\\\\= 1800[/tex]
Hence, the 4-digit numbers that are multiples of 5 are 1800.
Learn more about Combination:
https://brainly.com/question/11732255
A rectangular prism. A rectangle has a base of 7 inches and height of 3 inches. Another rectangle has a base of 7 inches and height of 4 inches. Another rectangle has a base of 7 inches and height of 5 inches. 2 triangles have a base of 3 inches and height of 4 inches. What is the area of one of the triangular faces? in.2
Answer:
6 in.2Step-by-step explanation:
Find the volume of the composite figure below:
5 in
8 in
6 in
10 in
Answer:
716in³
Step-by-step explanation:
The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.
For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about 235.62 cubic inches.
For the volume of the other prism, we simply have to do length times height times width, or 6·8·10. That is equal to 480 cubic inches, which is the volume of that prism.
To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.
235.62+480= 715.62in³, or about 716in³.
Hope this helps.
Lines a and b are parallel. Line c is transversal. Which statement is true?
Help
Answer:
D, because they are vertical.
Step-by-step explanation:
Without doing it mathematically, if you look at the graph and match all pairs of angles with their statements, you can check and see if they look equal. Of course, if you were to do it mathematically, you would need to know the vocabulary.
0.00003
2 x 10-5
=
?
Answer:
[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]
[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]
Step-by-step explanation:
When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:
0.00003
In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:
[tex]3[/tex]×[tex]10^{-5}[/tex]
The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:
[tex]2[/tex]×[tex]10^5[/tex]
Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:
200,000
help me please!!!!!!
Answer:16.7 %
Step-by-step explanation:
5/30
There's 1/6= .16666666
16 2/3 or 16.7 round
Which values are solutions to the any quality below
check all that apply
Answer:
B, C, E, F
Step-by-step explanation:
x^2 >= 49
A. 6: 6^2 = 36 No
B. 20: 20^2 = 400 Yes
C. -7: (-7)^2 = 49 Yes
D. -5: (-5)^2 = 25 No
E. -16: (-16)^2 = 256 Yes
F. 7: 7^2 = 49 Yes
Pleaseeeeee helpppppp very urgent pleaseeeee
Answer:
||u|| = sqrt((0 + 3)^2 + (4 + 2)^2) = 6.71
||v|| = sqrt((3 + 0)^2 + (3 + 2)^2) = 5.83
slope of u = 4/2 = 2
slope of v = 5/3
=> Option D is correct
Hope this helps!
:)
Find the LCM of 2, 10, and 6
Answer:
30
Step-by-step explanation:
Answer:
LCM(2,6,10)
Least Common Multiple is :
30
Calculate Least Common Multiple for :
2, 6 and 10
Factorize of the above numbers :
2 = 2
6 = 2 • 3
10 = 2 • 5
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
2 Number
6 Number
10 L.C.M
(max)
2 1 1 1 1
3 0 1 0 1
5 0 0 1 1
LCM = 2 • 3 • 5
Least Common Multiple is :
30
Each of the triangular faces has an area of 32 m2.
What is the surface area of the square pyramid?
64 m2
96 m2
192 m2
256 m2
Answer:
I know this is late, but the answer is C (192 m2)
Step-by-step explanation:
It was a question on Edge, and i got it wrong the first time (I picked D) But then I picked C (192) and got it right.
Hope this helps!
Answer:
c
Step-by-step explanation:
took the test
Data was collected on the weight of a male laboratory rat for the first 25 weeks
after its birth. The linear regression equation is y= 40x+100, where x is number of
weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
The predicted weight of the rat in year 0.
The current weight of the rat.
The predicted weight of the rat at birth
The average increase in the rat's weight
Answer:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Step-by-step explanation:
For this case we have the following equation given:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Giving Brainliest to teh right answer! Come quick!
Answer:
x=65
Step-by-step explanation:
145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.
Hope this helps!
Simplify, using the distributive property and then combining like terms. 5c+2(10−c)
Answer:
3c +20
Step-by-step explanation:
5c+2(10−c)
Distribute
5c+ 20 -2c
Combine like terms
3c +20
Answer:3c+20
Step-by-step explanation:
Distribute
5c+(2)(10)+(2)(-c)
5c+20+-2c
Combine Like Terms:
(5c+-2c)+(20)
3c+20
Hope I helped:)
Please, someone, help me quickly!!
Answer:
(B)
Step-by-step explanation:
The value of 9 is more than the value than 4.
Therefore,
9 > 4.
4 is not greater than 9, and nine is not less than four.
Brainilest Appreciated!
When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.1 second. What probability of races will her finishing time be between 74.2 and 76.4 seconds?
Round to the hundredths place (2 places after the decimal)
Answer: 90% of the time.
Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.
Help me please. Im giving 20 points
A telephone pole is 8 meters tall and a pigeon is standing on the ground 6 meters
from the pole. If the pigeon flies from where it is standing to the top of the
telephone pole, how far will it fly?
Your answer will be 10m.
We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.
a² + b² = c²
(6)² + (8)² = c²
36 + 64 = c²
100 = c²
10 = c
I hope this helps! Let me know if you have any questions :)
HELP!!! ASAP
Which of the following statements are true about 63?
It is the same as multiplying three factors of 6.
It has an exponent of 3.
It can be read as "three to the sixth power."
It has a power of 18.
It can be read as "six to the power of three."
It has a base of 6.
It can be read as "six cubed."
It can be read as "six cubed."
It can be read as "six to the power of three."
It has a base of 6.
It is the same as multiplying three factors of 6.
It has an exponent of 3.
Have a Nice Day
Answer:
terragamer303 is correct!
Step-by-step explanation:
Which of the following (there may be more than one) represent a formula you could use to find the area of a circle?
A\ =\ \pi d
A = πd
A\ =\ \pi\left(r\right)\left(r\right)
A = π(r)(r)
A\ =\ \pi\left(r\right)\left(2\right)
A = π(r)(2)
A\ =\ \pi r^2
A = πr
2
Answer:
A\ =\ \pi r^2
A = πr
2
Step-by-step explanation:
A\ =\ \pi r^2
A = πr
2
Answer:
A\ =\ \pi r^2
A = πr
2
Step-by-step explanation:
HELP PLEASEEEEEEE
SOLVE FOR VOLUME
Answer:
volume = area of triangle * height = 12.124355653*14/2 * 20 = 1697.40 m3
Step-by-step explanation:
the triangle is equilateral triangle ->
a^2 = 14^2 - 7^2 = 147
-> a = 12.124355653
volume = area of triangle * height = 12.124355653*14/2 * 20 = 1697.40 m3
Answer:
[tex]196meters^2[/tex]
Step-by-step explanation:
The formula for the area of a triangle is : [tex]\frac{base*height}{2}[/tex]
To work this out you would first have to work out the area of the triangle. You can do this by multiplying the base of 14 by the height of 14, this gives you 196.
The next step is to divide the answer of 196 by 2, this gives you 98. This is because the formula is the same as that for the area of a square and that a triangle would be half of a square with the same dimensions.
The final step is to multiply 98 by the length of 20, this gives you 1960 meters cubed.
1) Multiply 14 by 14.
[tex]14*14=196[/tex]
2) Divide 196 by 2.
[tex]196/2=98[/tex]
3) Multiply 98 by 20.
[tex]98*20=196meters^2[/tex]
The scatter plot shows the number on minutes spent reading (x) and the number of pages read (y) by each Seven student last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
For the most part the Supreme Court has ______ jurisdiction. The authority to see if a mistake was made in a case. ok so i accidentally put math great goin me
Answer:
Original
Step-by-step explanation:
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.
===========================================================
Explanation:
The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.
In this case, we start with 904 grams and follow this sequence:
904, 452, 226, 113, ...
Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.
--------------
If you want to use a formula, then it would be
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]
where,
H = half-life duration (in this case, it is 35)
A = starting amount (which is 904 in this case)
x = amount of time that has elapsed (we will plug in x = 70)
y = final amount after x units of time has elapsed
note that x and H must have the same time unit. Both are in terms of hours in this case.
------------
So we will plug A = 904, x = 70, H = 35 into the formula to get...
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]
We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.
how do i figure out the greatest common factors im a little confused
Answer:
To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.
