Answer: 20%
Step-by-step explanation:
3/15= 1/5= 20%
A sequence is defined by the rule a= -3(2) n-1 . What is the 5th term of the sequence
19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
A) Work out the size of angle x. B) Give reasons for your answer.
Answer:
X=105
reason beng corresponding angle
Answer:
75
Step-by-step explanation:
......help due in a minute
Answer:
The answer is ''C''
Hope this helps!! Have a great day! <3
Answer: D ( I really don’t have a good explanation for this question.)
find the measurement indicated in the parallelogram
Answer:
m(∠W) = 114°
Step-by-step explanation:
By the property of a parallelogram,
"Opposite angles of a parallelogram are equal in measure"
By this property,
m(∠W) = m(∠U)
9x + 15 = 4 + 10x
15 - 4 = 10x - 9x
x = 11
Therefore, m(∠W) = 9x + 15
= 9(11) + 15
= 99 + 15
= 114°
Measure of angle W is 114°.
show all steps solving this 2x^2=13x+7
Answer:
x = -1/2, 7
Step-by-step explanation:
2x^2 = 13x + 7
bring everything to one side: 2x^2 - 13x - 7 = 0
factor it out: 2x1 = 2 and -7x1 = -7.
-7x2 = -14 and 1x1 = 1
-14 + 1 = -13, so these numbers work
you end up with (2x + 1)(x - 7) = 0
solve each section:
2x + 1 = 0 x - 7 = 0
2x = -1 x = 7
x = -1/2
Help is this correct??
Answer:
if the cubes were hidden, but I belive the answer is none
Step-by-step explanation:
Answer:
Yes it is B when looking at it from top view thats what it comes out to look like great job.
if x + 3/4 = 1 then which point on the number line shown below could be x ?
please hurry !!!!
Answer:
please it is B
give thanks if it helps
If x + 3/4 = 1 then the point on the number line shown figure is B.
We have given that,
if x + 3/4 = 1 then which point on the number line shown below could be x.
What is the number line?A number line is a picture of a graduated straight line that serves as abstraction for real numbers, denoted by R. Every point of a number line is assumed to correspond to a real number and every real number to a point.
Therefore, if x + 3/4 = 1 then the point on the number line shown figure is B.
To learn more about number lines visit:
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Plz help me. Giving branliest
Answer: im not sure about this but I’ll try
24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles
Step-by-step explanation:
Why do equivalent ratios form a straight line when graphed?
Answer:
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edgen
A special deck of cards has 10 red cards, 20 blue cards, and 40 green cards. If Tay randomly draws a card, what is the probability that it will be green?
Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés
Answer:
the rate of interest is 11.7453%
Step-by-step explanation:
Given that
The present value is € 45,000
The Future value is €52,500
Time period 1 year, 4 months and 20 days i.e. 1.38809 years
We need to find out the interest rate
Here we apply the RATE formula in the spreadsheet
The formula is
= RATE(NPER;PMT;-PV;FV;TYPE)
The PMT would be zero
After applying the above formula, the rate of interest is 11.7453%
Jordan sold his used lawn tractor and accessories for $980. If he received nine times as much money for the lawn tractor as he did for the accessories, find how much money he received for the lawn tractor
Answer: [tex]\$882[/tex]
Step-by-step explanation:
Given
Jordan sold lawn tractor and accessories for [tex]\$980[/tex]
he receives 9 times more money for a tractor than for accessories
Suppose, he receives x amount for accessories
So, for tractor it is [tex]9x[/tex]
total amount is
[tex]\Rightarrow 9x+x=980\\\Rightarrow 10x=980\\\Rightarrow x=\$98[/tex]
He receives [tex]9x=\$882[/tex] for tractor
Rotate 90° clockwise about the origin
E = (-3, 3)
F = (-2, -1)
D = (-2, 3)
C = (-1, 4)
Answer:
e
Step-by-step explanation:
A random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y. A 90 percent confidence interval to estimate the difference in means is given as (−1.25,0.87)
.
Consider a change in the sample sizes such that a random sample of size 52 is selected from population X and a random sample of size 63 is selected from population Y. When all other things remain the same, what effect would such a change have on the interval?
Answer:
The level of confidence will increase.
Step-by-step explanation:
Could be wrong
The change in the sample size will lead to a decrease in the width of the interval.
What is a sample size?A sample size simply means the number of subjects that are taken from the population for research.
In this case, increasing the sample size will decrease the standard error and therefore, the width of the confidence interval will reduce.
Therefore, as the sample size increases, the interval reduces.
Learn more about sample size on:
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PLZ HELP NO LINKS! WILL GIVE BRAINLIEST!
There are 6500 people in a certain area. The area is growing at a rate of 3.5%.
Use the formula A=Pertto calculate the time it would take for the area to reach 11500 people. Calculate the solution for t to the nearest tenth using logarithms.
Answer:
24,831.28
Step-by-step explanation:
Brainliest pls
Answer:
t = 16.6
Step-by-step explanation:
In the formula:
[tex]a = p(1 + r )^{t} [/tex]
A is the final amount, in this case is 11500 people. P is the initial amount, in this case is 6500 people. r is the growth rate, which in this case is 0.035 - we have to express it s a decimal, not a percent. And finally t is the time, which is the variable we want to find.
Let's clear t first and replace all these values at the end. To clear t we have to leave only the factor which exponent is t on one side of the equation. To do this we have to divide both sides by P:
[tex] \frac{a}{p} = \frac{p}{p} (1 + r) ^{t} \\ \frac{a}{p} = (1 + r)^{t} [/tex]
Now we have to use the following rule for the exponents and logarithms:
[tex] {a}^{x} = b[/tex]
Apply logarithms on both sides:
[tex]log( {a}^{x}) = log(b)[/tex]
By the exponents rule of logarithms
[tex]x \: log(a) = log(b)[/tex]
For this problem we have:
[tex]log \frac{a}{p} = log(1 + r)^{t} \\ log \frac{a}{p} =t \: . \: log(1 + r)[/tex]
Now we have to divide both sides by log(1+r) to clear t:
[tex]log \frac{a}{p} = t \: . \: \frac{log(1 + r)}{log(1 + r)} \\ t = \frac{log \: \frac{a}{p} }{log(1 + r)} [/tex]
And finally we just have to replace the values into this equation we found: A = 11500, P = 6500 and r = 0.035:
[tex]t = log \: \frac{11500}{6500} \\ log(1 + 0.035) \\ log \: \frac{23}{13} \\ t = log \: 1.035 \\ t = 16.6[/tex]
Im very confused help me
Answer:
$8250
Step-by-step explanation:
In other words, a 15% discount for a item with original price of $55000 is equal to $8250 (Amount Saved). Note that to find the amount saved, just multiply it by the percentage and divide by 100.
Mark me as Brainliest
Answer:
C. 8250Step-by-step explanation:
15% is equivalent to 15/100 or 0.15
So just multiply $55,000 by 0.15.
After multiplying, you should get 8250.
So 8250 is your answer
Help me on this please
Answer:
Radius = 3
Since radius is half of diameter diameter is 6 because 3 x 2= 6
Now I multiply that by pi so...
6 x 3.14 = 18.84 So 18.84 is our answer.
1. A student has a rectangular block. It is 2 cm wide, 3 cm tall, and 25 cm long. It has a
mass of 600 g. Determine the density of the block to the nearest unit.
8.9
Answer:
20 gcm^3
Step-by-step explanation:
Density = mass / volume
Volume = 3 X 2 X 25 = 30 cm
600 / 30 = 20
not 100 % sure though
The bakery packages 8 of the chocolate spheres into a box .If the density of the chocolate is 1.308 g/cm3 ,what is the total mass of the chocolate in the box
Answer:
m=DxV. 1.308x8= 10.464
The entrance hall in Black's family house has a perimeter of 71 2/3 ft.IF it is 9 2/5 ft wide, how long is it?
Answer: 26 13/30 feet
Step-by-step explanation:
The hall is in the shape of a rectangle. The perimeter of a rectangle is:
= 2(length + width)
= 2l + 2w
Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:
Perimeter = 2l + 2w
71⅔ = 2l + 2(9 2/5)
71 2/3 = 2l + (2 × 47/5)
71 2/3 = 2l + 94/5
71 2/3 = 2l + 18 4/5
Collect like terms
2l = 71 2/3 - 18 4/5
2l = 71 10/15 - 18 12/15
2l = 52 13/15
l = (52 13/15 ÷ 2)
l = 793/15 × 1/2
l = 793/30
l = 26 13/30
Therefore, the length is 26 13/30ft
A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection
Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
What is the simplified value of the exponential expression 27^1/3?
1/3
1/9
3
9
Which statement is true?
Question 19 options:
A)
|–3| = 3 and –|–4| = –4
B)
|–3| = 3 and –|4| = 4
C)
–|3| = 3 and |4| = 4
D)
|–3| = 3 and |–4| = –4
Answer:
the first one is true and not sure 100% that the others are false all
which value for s will make this equation true? s(11-s)=24
answer choices:
8
4
6
5
How many numbers are from k to n? (Including k and n.)
*Do not give me a wrong answer, as you may be blocked. Only answer if you know it!
Answer:
n - k + 1
Step-by-step explanation:
This is assuming (because you did not say) that n and k are integers and n is greater than k.
Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.
Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}
In a recent survey, 8 people were each asked the number of times they have been on a airplane. Here is a list of the responses.
16,26,12,9,17,26,11,14
Find the range of the data set.
Answer:
17
Step-by-step explanation:
Always arrange numbers in order from least to greatest.
To find the range you take the MAXIMUM # - MINIMUM #.
MAX # = 26
MIN # = 9
26 - 9 = 17.
Graph each function. State the domain and range.
Answer:
Just put it in Geogebra classic. It's an app that helps very much with functions!
do the following conditions make a unique triangle more than one triangle or no triangle possible
Answer:
No triangle possible.
Step-by-step explanation:
3 + 6 < 10 so no triangle can be drawn with these lengths.
8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?
formula 3.35 times something