Answer:
diameter ≈12.7
Step-by-step explanation:
d= C/π so plug in what we know
39.88 ÷ 3.14 ≈ 12.7
Find the sum of the first 9 terms of the following series, to the nearest integer 3, 3.75, 4.6875
Answer:
77.4
Step-by-step explanation:
The first term, a, of the series is 3.
It is a geometric progression, so we can calculate the common ratio, r:
3.75 / 3 = 1.25
The sum of n terms of a geometric progression is given as:
[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]
where n = number of terms considered
The sum of the first 9 terms will therefore be:
[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]
Given the equations below what is the value of ab?
10b-9a=6
b-a=1
Answer:
12
Step-by-step explanation:
Adding a to both sides of the second equation we get b = a+1
Substituting this in we get
10a + 10 - 9a=6
a +10 =6
a=-4
Putting this back in to the second one we get b+4=1
B=-3
-4*-3=12
The value of ab = 36.
We have the following equations -
10b - 9a = 6
b - a = 1
We have to determine the value of ab.
If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?We have - [tex]a^{2} -b^{2} = \pi[/tex]
(a + b) (a - b) = [tex]\pi[/tex]
a - b = [tex]$\frac{\pi }{4\pi }[/tex] = 1/4
According to question, we have -
10b - 9a = 6
b - a = 1
Now -
b - a = 1
a = b
Therefore -
10b - 9a = 6
10b - 9b = 6
b = 6 = a
ab = 6 x 6 = 36
Hence, the value of ab = 36.
To solve more questions on finding unknowns, visit the link below -
https://brainly.com/question/14728313
#SPJ2
Madeline is writing a computer program for class. The first day she wrote 5 lines of code. She wrote 15 lines of code on the second day and 45 on the third day. Find the total amount of lines of code written after all 6 days.
Answer:
1215
5×3,15×3,45×3,135×3,405×3=1215
Pythagorean theorem plsssss
Step-by-step explanation:
pythagorean theorem states
c²=a²+b² where c is the longest line a is the base while b is the height thus
example
1)c²=a²+b²
12²=a²+8²
144=a²+64.
144-64=a²
80=a² a=√80. =8.9
2)c²=a²+b²
15²=4²+b²
225=16+b²
225-16=b²
209=b² b=√209. =14.45
3)c²=a²+b²
c²=5²+9²
c²=25+81
c²=106. c=√106. =10.295
I hope you have understood I will do the other ones simply
4)26²=18²+a²
676-324=a²
√352=a. a=18.761
5)10²-6²=b²
100-36=b² b²=64. b=8
6)c²=12²+9²
=144+81.
c² =225. c=15
1...
Formula= A=C^2-B^2
A=12^2-8^2
A=144-64
144-64=80
√80 = 8.944
Rounded = 8.9
2...
Formula= A=C^2-B^2
A=15^2-4^2
A= 225-16
225-16=209
√209= 14.456
Rounded= 14.5
3...
Formula= A^2+B^2=C^2
9^2+5^2=C^2
81+25=106
√106= 10.295
Rounded= 10.3
4...
Formula= A^2=C^2-B^2
A^2= 26^2-18^2
A^2=676-324
676-324=352
√352=18.761
Rounded= 18.8
5...
A^2=C^2-B^2
A^2=10^2-9^2
100-91=9
√9=3
6...
Formula= A^2+B^2=C^2
9^2+12^2=C^2
81+144=225
√225=15
Code= 8.9, 14.5, 10.3, 18.8, 3, 15.
solve this equation please
5X2 - 15 = 5
Answer:
x = 2 or x = -2
Step-by-step explanation:
5x² - 15 = 5
⇌
5x² = 15 + 5
⇌
5x² = 20
⇌
x² = 20/5 = 4
⇌
x² = 2²
⇌
x² - 2² = 0
⇌
(x - 2)(x + 2) = 0
⇌ we use the zero product property
x - 2 = 0 or x + 2 = 0
⇌
x = 2 or x = -2
LAST QUESTION!!WILL GIV BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!
Using the segment addition postulate, find the value of x.
HI = 6x + 8
IJ = 2x - 4
HJ = 124
A) 15
B) 16
C) 9
HINT THAT I WAS GIVEN: The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.
Answer:
A. 15
Step-by-step explanation:
HI and IJ are both segments in the line HJ so HI and IJ combined equal the total length of HJ. This means we can write an equation using HI and IJ and setting them equal to HJ.
6x + 8 + 2x - 4 = 124
next step is to combine like terms:
8x + 4 = 124
then, subtract 4 from both sides.
8x + 4 = 124
-4 -4
8x = 120
finally, divide both sides by 8.
8x/8 = 120/8
x = 15
since it is equal to x, 15 is your solution!
Members of a rugby league are thinking about adding a new franchise in Silvergrove. They hired a polling firm to help gauge Silvergrove residents' interest in rugby. The firm contacted 475 randomly chosen Silvergrove residents and asked them whether they had ever attended a rugby match. Of 434 respondents had never attended a rugby match, estimate (including a margin of error) the proportion of the population of Silvergrove that never attended a rugby match.
The margin of error is 1/√n, where n is the number of people
Margin of error = 1/√475 = 0.0458
Multiply by 100 to get percent:
0.0458 x 100 = 4.58% round to 4.6%
The answer is c.
Tres pueblos A, B y C, situados en los lados de un triángulo, quieren construir una piscina común para sus habitantes, de forma que quede a la misma distancia de los tres. ¿En qué punto se construirá? ¿Cómo se llama ese punto?
Answer:
The name of the point is the circumcenter of the triangle
Step-by-step explanation:
The pool will be built at a point which is equidistant from the three points.
This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.
The name of this point is called the CIRCUMCENTER of the triangle
The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case
Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)=145(0.95)t.
Drag and drop the answer to the boxes below to complete the sentence.
145, 0.95
a decrease of, an increase of
5%, 45%, 95%
The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.
Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential decay function:
A = P (1 - r) t
Where:
p = original price
r = decrease rate (decimal form)
t= years
A = price after t years
Replacing with the values given:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 =-r
0.05 =r
Converting to percentage form:
0.05 x 100 = 5%
Feel free to ask for more if needed or if you did not understand something.
I’m stuck can someone help me thank you
Answer:
the answer may be 127.
Step-by-step explanation:when you add 90° + 37° you will get the answer 127
I am not sure.
if two angles are obtuse are they congruent
Answer:
No, obtuse simply means that the angle measures are > 90 and less than 360. Just because two angles are obtuse DOES NOT mean they are congruent.
Answer: No
Step-by-step explanation: Obtuse just means the angle is above 90 degrees and below 360, it doesn't mean its congruent.
in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at the end of this period
Answer:
42000
Step-by-step explanation:
First of all, we need to find 20 percent of 35000.
35000×20 / 100 = 7000
now we increase the bed cost by 20 percent.
35000 + 7000 = 42000
Answer:
5000
Step-by-step explanation:
What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 52 college students were surveyed and r = 12 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use α = 0.05. (a) What is the level of significance?
Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
p = 0.24
For the alternative hypothesis,
p ≠ 0.24
This is a two tailed test
Considering the population proportion, probability of success, p = 0.24
q = probability of failure = 1 - p
q = 1 - 0.24 = 0.76
Considering the sample,
Sample proportion, P = r/n
Where
r = 12
n = 52
P = 12/52 = 0.23
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17
Recall, population proportion, P = 0.24
The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01
Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23
the p for the right tail is 0.24 + 0.01 = 0.25
These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area below the test z score in the left tail 0.43
We would double this area to include the area in the right tail of z = 0.17 Thus
p = 0.43 × 2 = 0.86
The level of significance is 5%
Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.
Which equation can be used to solve for in the following diagram?
3.
30°
Choose 1 answer:
3x = 30
© 3.r +30 +90 = 180
3x + 30 = 90
90 3.2 - 30
Answer:
[tex] \boxed{3x\degree = 30\degree} [/tex]
Explanation:
Vertically opposite angles are equal.
Aubrey used 4/7 liters of paint for a mural in her room and 2/10 liter for a wall in her bathroom. Determine a reasonable estimate for the total amount of paint Aubrey used.
Answer:
27/35 is the exact answer
7/10 is an estimate
Step-by-step explanation:
4/7+2/10
Simplify the fraction
4/7+1/5
The common denominator is 35
4/7*5/5 + 1/5 *7/7
20/35 + 7/35
27/35
To estimate
4/7 is close to 1/2
2/10 is close is 1/5
1/2 + 1/5 =
5/10 + 2/10 = 7/10
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the mean of the points Javier scored? *
Answer:
13+20+13+15+24/5
85/5
=17
Answer:
17 points
Step-by-step explanation:
Mean = total scores/number of games
Mean = (13 + 20 + 13 + 15 + 24) / 5
Mean = 85 / 5
Mean = 17 points
Which part of a cake remains if x/y has been eaten?
Find the inverse of f(x) = e^x + 7
Answer:
f^-1(x) = ln(x - 7)
Step-by-step explanation:
f(x) = e^x + 7
y = e^x + 7
x = e^y + 7
e^y = x - 7
ln(e^y) = ln(x - 7)
y = ln(x - 7)
f^-1(x) = ln(x - 7)
if x^4x^2/3=X^a what is the value of a?
Answer:
x^(4+2/3)=x^a
a=4+2/3=(12/3)+(2/3)=14/3
Step-by-step explanation:
Which graph represents the function g(x) = |x + 4| +2
Answer:
none of the two graphs in the pic.
it should be one in the II quadrant
Step-by-step explanation:
the plus four means to move 4 to the left
the plus 2 means to move up 2
That would make the vertex in the II quadrant.
Answer:
its A
Step-by-step explanation:
Which best describes the dimensions of a line?
1 . A line has zero dimensions because it represents a
2. A line has one dimension because it is made up of a
3. A line has two dimensions because it is made up of
4. A line has multiple dimensions depending on how ma
Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
Step-by-step explanation:
A line is a one-dimensional figure, it has no thickness.
For reference, point is zero dimesional, a plane is twodimensional.
Then the correct answer would be:
A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
Can anyone help 9th-grade geometry
Answer:
5 < x < 23
Step-by-step explanation:
let the third side be x , then
difference of 2 sides < x < sum of 2 sides
14 - 9 < x < 9 + 14 , that is
5 < x < 23
A jar contains 4 pink, seven red, and 3 orange marbles. If you pick one without looking, what is the probability that the marble you pick will be neither pink nor red?
show work pls tnx!
Answer:
3/14
Step-by-step explanation:
There’s 14 marbles total and only 3 are orange
Direct Variation: If y = -16, when x = 4, find x when y = -96.
Answer:
x = 24
Step-by-step explanation:
y= -16
-16 x 6 = -96
y= -96
x= 4
4 x 6 = 24
x=24
whoever gets done faster wins
Answer:
2%
Step-by-step explanation:
Solution
0.02*100%
=2%
hope it helps...
Good luck on your assignment
Jeremy jogged 75 yards from his house to school how many feet did Jeremy jog? Solve this problem any way you choose.
Answer:
1 yard = 3 ft
75 yards = 75 * 3
75*3 = 225
He ran 225 ft
If you need inches = 225*12
inches = 2700 inches
Answer:
225 feet
Step-by-step explanation:
3 feet equals 1 yard
? Feet equals 75 yards
75 times 3 equals 225 feet
I really need help with this problem can someone pls help me! I really need help plz help me solved this problem need help ASAP!
Answer:
64
Step-by-step explanation:
4^2-4*3*-4
=16-(-48)
=64
The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:
Answer:
d. 63
Step-by-step explanation:
sum of 3 interior angles= 180°
78°+39°+a=180°
a= 180°- 117°
a= 63°
Answer:
D. 63°
Step-by-step explanation:
The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.
78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)
Suppose $700 is being deducted each month to pay the mortgage.
After six months, how much money has been taken out of the
pay for the mortgage?
Answer:
$4,200
Step-by-step explanation:
700 x 6 = 4,200
What is the quotient of x^2-9x+14/x-7?
A. x+2 B. x-7 C. x-2/x-7 D. x-2
Answer:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Step-by-step explanation:
Please use parentheses to show clearly that you are dividing by (x - 7):
x^2 - 9x - 14
------------------- or (x^2 - 9x - 14) ÷ (x - 7)
x - 7
x^2 - 9x + 14 factors into (x - 7)(x + 2). After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
