Answer:
Cycle : Scooter = 15 : 30
or, Cycle : Scooter = 1 : 2
Step-by-step explanation:
What is the largest integer $n$ such that $7^n$ divides $1000!$ ?
Answer:
The correct answer is
n = 3038
Step-by-step explanation:
Where we have;
We note that 1000! = An even number
Since Even × Even = even
Even × Odd = Even
Also, 7ⁿ is an Odd number since odd × odd = odd
Therefore 7ⁿ will divide 1000! with some fractions as follows;
1000! divided by 7ⁿ
When 7ⁿ = 1000!
log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)
n·log(7) = 2567.604
n = 2567.604/(log(7)) = 3038.23
Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038
Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.
Divide up the number 480 in a 3:5 ratio.
Step-by-step explanation:
Hers your answer friend
Answer:
180 and 300
Step-by-step explanation:
We want to divide up the number 480 in a 3:5 ratio.
=> We should turn 480 into 3+5=8 portions, each portion is 480/8 = 60.
=> 480 could be divided into 2 smaller numbers that satisfy 3:5 ratio:
60x3=180 and 60x5 = 300.
Check:
180:300 ratio <=> 3:5 ratio (valid)
Hope this helps!
What inequality represents this graph?
Answer:
y ≤ 3
Step-by-step explanation:
All values will work all the way up to 3 (including 3). However, no solution would work after the value 3. So, your inequality would be y ≤ 3.
Answer:
y ≤ 3
Step-by-step explanation:
all y values lower than or equal to 3 are part of the shaded area.
2. Sled kites rely on wind pressure to retain the shape of the sail. Each consists of a single square and two triangular pieces.
Kyle has made a model of a Sled kite as shown below. Show that the angles
(JUSTIFY)
Show that the angles A and B are congruent
Answer:
[tex]\angle A =\angle B =90^\circ[/tex]
Step-by-step explanation:
The diagram of the sled kite is attached below.
The central part of the kite is square.
We know by the property of a square that all its angles are congruent and equal to 90 degrees.
Therefore:
[tex]\angle A =\angle B =90^\circ[/tex]
Angles A and B are congruent.
What are the roots of the quadratic equation below 3x2+15x-5=0
Answer:
AStep-by-step explanation:
[tex]3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A[/tex]
Evaluate: 6+ 4/4 + 3/3
Answer:
8
Step-by-step explanation:
4/4=1
3/3=1
1+1+6=8
I don’t understand how to do this
Answer:
1) 2
2) 1
Step-by-step explanation:
1) According to the law of exponents, [tex]x^0 = 1[/tex]
= [tex]2 (\frac{3}{5} )^0[/tex]
=2(1)
= 2
2) [tex](-7)^0[/tex]
= 1
PLEASE HELP WITH BOTH PARTS!!!!!!!! WILL BE MARKED BRAINLIEST!
Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
Hope that helps!
In 1995 the usps approximated that they handled 1.8 x 10 pieces of mail. In 2010 the USPS reported that they handled 1.7 x 10 pieces how many more pieces of mail were handled in 1995 than in 2010
Answer:
1 piece of UPS
Step-by-step explanation:
Here, we want to know the difference in the number of pieces handled at the different times
In 1995, amount handled = 1.8 * 10 = 18 pieces
In 2000, amount handled = 1.7 * 10 = 17 pieces
The difference between what was handled in the year 2010 and what was handled in 1995 is 18 -17 = 1
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is .
Answer:
When the input is 4, the output of f(x) = x + 21 is 25.
Step-by-step explanation:
The given function is
[tex]f(x)=x+21[/tex]
Here, x is input and f(x) is output.
We need to find the output of the given function f(x) if the input is 4.
Substitute x=4 in the given function.
[tex]f(4)=4+21[/tex]
[tex]f(4)=25[/tex]
So, the output value is 25.
When the input is 4, the output of f(x) = x + 21 is 25.
find the zeros of quadratic polynomial X2 - 2x - 8
Answer:
The zeroes of a polynomial is the value of x when the polynomial is set to 0.
We can write x² - 2x - 8 = 0. This factors to (x - 4)(x + 2) = 0 and using Zero Product Property the solutions are x = 4, x = -2.
Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?
Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]
Simply plug in 8 as a and 6 as b.
Answer:
A.
Step-by-step explanation:
Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)
[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]
Help!!!!!!……………………………………………
Answer:
Step-by-step explanation:
The answer is d)
y= 0.0018(x-105)^2 +7
Please help! Please help me answer this question,
Answer:
A-4
B-5
C-1
D-3
E-2
Step-by-step explanation:
They all have the same explanation u have to find the point where the line coincides with the x and y axis
E.g on how to work out
Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate
C=2x+y=4
To get x 2x+0=4 x=2
Y 0+y=4 y=4
After doing so u locate the line that passes through (2,0),(0,4)
Hope it helps
Answer:
Can you send a screen shot of each graph because its hard to see the coordinate
Step-by-step explanation:
It would be SUPER helpful if you could answer this question! The height of a right square pyramid is multiplied by 6, but the area of the base remains fixed. What is the volume of the taller pyramid divided by the volume of the shorter pyramid?
A. 3
B. 6
C. 9
D. 12
Answer:
B. 6
Step-by-step explanation:
The volume is proportional to the height. The ratio of the heights of the taller to shorter pyramids is 6 : 1. Since the pyramids have the same base ares, this is also the ratio of volumes.
The volume ratio is 6.
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Answer:
0.17 people / sq ft
Step-by-step explanation:
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Density of people in pool is number of people per square foot.
area = length * width = 15 ft * 8 ft = 120 ft^2
density = people/sq ft = 20 people / 120 sq ft = 0.17 people / sq ft
Answer:
0.17 people / sq ft
Step-by-step explanation:
PLS HELP!!! 10-4*6^3+7
Answer:
-847
Step-by-step explanation:
Using PEMDAS, exponents come first. 6 ^ 3 is equal to 216. Then multiplication arrives.-4 * 216 = -864. Then addition has to be done. -864 + 17 = -847
Answer:
-847
Step-by-step explanation:
10-4*6^3+7
PEMDAS
Parentheses first - there are none
Exponents
10-4*216+7
Multiply and divide from left to right
10-864+7
Add and subtract from left to right
-854 +7
-847
HELP Which of the following is the range of the function based on the input-output table below?
Answer:
The correct answer is :
Range is: {1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
We are given here input-output table.
Let us define the domain and range of a function.
Domain is the set of values that can be given as input to the function.
and
Range is the set of values that comes out as the output of the function.
For example:
[tex]y = f(x) = 2x[/tex]
The domain of the function above is the set of values of x.
The range of function is the value of y or f(x).
For above example, range can be set of all Real numbers i.e. R.
Range for the above example will also be set of all Real numbers i.e. R.
From the given table in the question statement:
Input or Domain = {10,20,30,40,50,60,70}
Output or Range = {1000,1100,1200,1300,1400,1500,1600}
Use the function below to find
Answer:
f(x) =1/3 × 4^x
f(4) = 1/3 × 4⁴
= 1/3 × 256
= 256/3
Hope this helps
If $500 is shared in the ratio 2:3:9 then the difference between the largest and the smallest shares is
Answer:
$250
Step-by-step explanation:
Total parts:
2+3+9 = 14
500/14 = 250/7
2×250/7 : 3×250/7 : 9×250/7
500/7 : 750/7 : 2250/7
The largest share is 2250/7, the smallest share is 500/7.
Find the difference.
2250/7 - 500/7 = 250
Answer:
$250
Step-by-step explanation:
2x+3x+9x= $500
9x-2x= 7x=?
14x= $500
7x= $500/2= $250
please help me with this question....
Answer:
107
Step-by-step explanation:
Median is the middle most no.
=> Here, Median are two numbers, 106 and 108 So, we'll find the mean of it to get the median
=> Median = [tex]\frac{106+108}{2}[/tex]
=> Median = 107
Help meh pleassssssee :
Answer:
x-5
Step-by-step explanation:
f(x) = 5x-4
g(x) = 4x+1
Subtracting big equations
(f-g)(x) = 5x-4-4x-1
(f-g)(x) = x-5
Answer:
x-5
Step-by-step explanation:
I had the same question on my assignment lol
What is the approximate area of a circle show below?
The answer of this is C: 43
Answer:
C)43ft
Step-by-step explanation:
Area= pi*r(squared)
Pi*3.7(squared)=43.00
So answer=43pi(squared)
Mark wants to invest 10,000 in a cd for at least 10 years the first choice is a cd that pays 4% annually and uses simple interest what is the total value after 10 years
Answer: 14000
Step-by-step explanation:
From the question, the first thing is to first calculate the simple interest (S.I). This will be:
S.I = (principal × rate × time)/100
where principal = 10,000
rate = 4%
time = 10 years
Simple interest = (10,000 × 4 × 10)/100
= 400000/100
= 4000
The total value after 10 years will be th addition of the amount invested and the interest. This will be:
= 10,000 + 4000
= 14000
Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!
To locate the percentile for a given observation in a data set, the data must be ___________. Select one: a. Displayed in a histogram b. Sorted and listed from the minimum to the maximum values c. Distributed symmetrically around the mean d. Summarized in a frequency distribution
Answer:
b. Sorted and listed from the minimum to the maximum values
Step-by-step explanation:
A percentile can be defined a measure that is made use of statistics.
A percentile is a statistical measure that indicates or shows comparison amongst a given set of data.
A percentile tells us the value or scores below which a percentage of a given observation in a data set falls.
In other to be able to effectively obtain the percentile if a given set of data, the following steps must be taken.
Step 1: Arrange, sort and list the values of the given the data set in order from lowest to the highest
Step 2: Multiply the percentage (also represented by P ) by total number of values in the data set( also represented by N)
Step 3: The value obtained from step 3 is know as the rank and this would helps us to find the percentile f a given data set.
The formula for calculating a percentiles is given as
= (P/100) x N,
where
P = percentile
N = number of values in a data set (sorted or arranged from lowest to highest)
n = Rank of a given value.
Select all ratios that are in their simplest form. A 9:7 B 14:3 C 12:21 D 30:29 E 28:30
Answer:
Step-by-step explanation:
9/7, 14/3, 4/7, 30/29, 14/15
Soraya earned $40 in October. She earned $50 in November. What is the percent increase or decrease in Soraya's monthly earnings?
Answer:
25% increase
Step-by-step explanation:
Apex
The percent increase in Soraya's monthly earnings is 2.5%
What is Percent Increase?Increase expressed as a percentage is referred to as a percentage increase. When comparing growth in a quantity through time, from its beginning value to its ultimate value, the percentage increase formula is utilised.
Given:
Soraya earned $40 in October.
She earned $50 in November.
Change in amount= 50- 40= $10
So, percent increase = 10/ 40 x 100
= 2.5%
Hence, the percent increase is 2.5%
Learn more about percent increase here:
https://brainly.com/question/13533684
#SPJ2
7.30 x 1.35564873÷547068
Answer:
0.00001808958
Step-by-step explanation:
hope this helps you :)
anyone get this ? (geometry)