Answer:
<B
Step-by-step explanation:
The angle opposite the longest side has the largest measure
AC is the longest side so <B has the largest measure
The distances in miles driven by a sample of nine different cars using 13 gallons of gasoline were 174, 201, 271, 208, 196, 340, 214, 236, and 385. Find the mean and the standard deviation for the distances traveled. How many cars fall within one standard deviation of the mean?
When You order the numbers you get
174 196 201 208 214 236 271 340 385
To get the mean, you add up all the numbers
Sum:2225
Then you divide it by how many test subjects there are (9 cars)
2225÷9=247.222222222 Which is your mean
Q1 is between 196 and 201
Q3 is between 271 and 340
If you get the mean of both, Q1 would be 198.5 and Q3 is 305.5
The amount of cars between them is 6
Find the missing length indicated
Answer:
x= 135
Step-by-step explanation:
Simplify the following expression and write it in an exponential function form.
(b11 b-7)/4b-5, where b is a constant.
Answer:
1/4 b^9
Step-by-step explanation:
(b^11 b^-7)/4b^-5
We know x^y * x^z = x^(y+z)
b^11 * b^ -7 = b^ (11-7) = b^4
(b^11 b^-7)/4b^-5
b^4 / 4 b^-5
We know x^y / x^z = x^(y-z(
b^4 / b^-5 = b^(4 - -5) = b^(4+5) = b^9
1/4 b^9
Evaluate w+(-x) - 2/3 where w = -5/9 and x = 4/3
Answer:
-23/9 or -2 5/9
Step-by-step explanation:
w+(-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9+(- 4/3) - 2/3
Get a common denominator of 9
-5/9 - 4/3 *3/3 - 2/3 *3/3
-5/9 - 12/9 - 6/9
-23/9
-2 5/9
Answer:
-2 5/9
Step-by-step explanation:
howe do I solve it 5=n/5+8
Answer:
n=-15
Step-by-step explanation:
5=n/5+8
subtract 8 on both sides
-3=n/5
multiply 5 on both sides
-15=n
help plss and explain!!
If 7x^2 - mx-12 is equal to (7x + n)(x-6), where m and n are constants, find the value of m.
Answer:
m=40
Problem:
If 7x^2 - mx-12 is equal to (7x + n)(x-6), where m and n are constants, find the value of m.
Step-by-step explanation:
We want to find n amd m such that
(7x+n)(x-6)=7x^2-mx-12.
Since (ax+b)(cx+d)=acx^2+(ad+bc)x+bd, then we need or should have the following:
(7x)(x)=7x^2
(7×-6+n×1)x=-mx
(n)(-6)=-12
The bottom equation tells us n=2 since 2(-6)=-12.
The first equation is already true.
Now we must solve (7×-6+n×1)x=-mx with n=2 for m.
That is we need to solve 7×-6+2×1=-m
Simplify and done -m=-42+2=-40 so m=40.
Let's do a check
7x^2 - mx-12 is equal to (7x + n)(x-6)
7x^2-40x-12 is equal to (7x+2)(x-6)
(7x+2)(x-6)=7x(x)+7x(-6)+2(x)+2(-6)
(7x+2)(x-6)=7x^2-42x+2x-12
(7x+2)(x-6)=7x^2-40x-12 and that is what we wanted.
Another way:
We want (7x+n)(x-6)=7x^2-mx-12 to be true for all x.
So if x=0 or for x=1, we want the equation to be true.
Insert x=0. This gives (n)(-6)=-12 which implies n=2.
(7x+2)(x-6)=7x^2-mx-12
Insert x=1. This gives (7+2)(1-6)=7-m-12.
Simplify both sides: 9(-5)=-m-5
Continue to simplify left side: -45=-m-5
Add 5 on both sides: -40=-m
Multiply both sides by -1: 40=m
find the missing length indicated
Answer:
119?
Step-by-step explanation:
357 students went on a field trip. Eight
buses were filled and 5 students traveled
in cars. How many students were in each
bus?
Answer:
There were 44 students in each bus.
Step-by-step explanation:
357 - 5 = 352
352/8 = 44
Answer:
Step-by-step explanation:
Total students = 357
Total buses filled = 8
No of students traveled in car = 5
Remaining students = 357 - 5 = 352
Students in each bus = 352 ÷ 8 = 44 students
Me ajudem pfvr!!!!....
The table shows values for functions f(x) and g(x)
X
f(a) = 2-2
g(x) = -22
-3
18
6
-2
4.
4
-1
2
2
0
0
1
2
2.
44
3
6
18
What is the solution to f(x) = g(x) ?
Select each correct answer.
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
FOR EASY BRAINLIEST ANSWER THIS WITH EXPLANATION!ASAP
Question: A cashier has 20 bills, all of which arc ten-dollar or twenty-dollar bills. The value of the money is $250. How many of cach type docs he have?
Answer:
5 $20 bills
15 $10 bills
Step-by-step explanation:
x+y=20
10x+20y=250
thats all I remember about substitution/elimination lol
The value of a jewel in 2015 was $17500. The jewel was purchased in 2008, and its value appreciated 2.5%
each year. What was the initial value of the jewel when it was first bought? Round to two decimal places
Answer:
$14722.14
Step-by-step explanation:
We are given that
In 2015
The value of jewel=$17500
Rate of appreciation, r=2.5%
We have to find the initial value of the jewel when it was first bought.
Time, n=7 years
Final value=[tex]Initial\;value (r/100+1)^n[/tex]
Using the formula
[tex]17500=Initial\;value(2.5/100+1)^7[/tex]
[tex]17500=Initial\;value(1.025)^7[/tex]
[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]
Initial value=$14722.14
Hence, the the initial value of the jewel when it was first bought=$14722.14
Be sure to show your work and solve for n:
25 = n + 8 + 11
Answer:
n=6
Step-by-step explanation:
25=n+8+11
25=n+19
-n=19-25
-n=-6
n=6
SOMEONE PLEASE HELP ME!!!!!!!
Answer:
Step-by-step explanation:
[tex]\frac{57}{40.3}=\frac{23}{QR} \\[/tex]
cross multiply
57(QR)=926.9
QR=16.26...
round to nearest tenth
QR=16.3
In a city baseball league, the Tigers are 1 1/2 games behind the Pirates, and the Pirates are 4 games ahead of the Cubs. How many games separate the Tigers and the Cubs?
A: 2 1/2
B: 3
C:3 1/2
D: 5 1/2
Answer:
D: 5 1/2
Step-by-step explanation:
1 1/2 + 4 = 5 1/2
For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers
Answer:
smaller number - 7
greater number - 8
Step-by-step explanation:
let a = smaller number
a + 1 = greater number
the following equation can be derived from the question
(5 x a) = 3 + 4(a + 1)
5a = 3 + 4a + 4
5a = 7 + 4a
5a - 4a = 7
a = 7 = smaller number
a + 1 = 7 + 1 = 8 = greater number
. If QS bisects angle PQR, m angle PQS = (7x - 6)° , and m angle SQR = (4x + 15)° , find m angle PQT.
Answer:
94
Step-by-step explanation:
PQS = (7x - 6)°
SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal
so
7x - 6 = 4x + 15 transfer like terms to the same side of the equation
7x - 4x = 15 + 6
3x = 21 divide both sides by 3
x = 7
also the sum of these two would give us the measure of PQR
7x + 4x + 15 - 6 = PQR
11x + 9 = PQR replace x with 7
11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86
If QS bisects angle PQR. the m<PQT=94 °
Given :
Measure of angles PQS = (7x - 6)° , and m angle SQR = (4x + 15)°
QS bisects angle PQR. So m<PQS=m<SQR
[tex]7x-6=4x+15\\Solve \; for \; x\\7x-4x-6=15\\3x-6=15\\3x=15+6\\3x=21\\divide \; by \;3 \\x=7[/tex]
Now we find out m<PQR
[tex]m<PQR=m<PQS+m<SQR\\m<PQR=7x-6+4x+14\\m<PQR=11x+8\\x=7\\m<PQR=11(7)+8=85[/tex]
We know that <PQR and <PQT are linear pair of angles
The sum of linear pair of angles are supplementary
[tex]m<PQR+m<PQT=180\\86+m<PQT=180\\m<PQT=180-86\\m<PQT=94[/tex]
Learn more : brainly.com/question/617412
Combine these radicals. -√5-3√5
Answer:
-4√5
Step-by-step explanation:
-√5-3√5
-√5(1 + 3)
-4√5
Help, please (single variable calculus)
Hi there!
[tex]\large\boxed{ 14.875}[/tex]
Our interval is from 0 to 3, with 6 intervals. Thus:
3 ÷ 6 = 0.5, which is our width for each rectangle.
Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:
0.5, 1, 1.5, 2, 2.5, 3
Evaluate:
(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =
Simplify:
0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875
Find the value of the indicated angle. Justify your answer.
Answer:
x=15
Step-by-step explanation:
The first triangle
90+2x+4x=180
90+6x=180
6x=90
x=15
Would kindly appreciate the help please !
Answer:
cannot be determined
Step-by-step explanation:
We do not know if any of the angles are equal and are only given two sides.
We cannot determine if the two triangles are similar
A worker with a wheelbarrow filled with bricks starts at a point 50 m from the
entrance to a construction site. The worker pushes the wheelbarrow away from the
entrance at a speed of 1 m/s for 10 s, stops for 5 s to unload, and then moves back
toward the entrance at a speed of 2 m/s for 20 s. Draw a distance-time graph.
Step-by-step explanation:
Given
Worker started from a point 50 from entrance. The worker pushes it away from the entrance at a speed of 1 m/s for 10 s that is there is no acceleration for 10 s as speed is constant.
Distance covered in this time is given by
[tex]\Rightarrow s_1=1\times 10\\\Rightarrow s_1=10\ m[/tex]
It is stopped for 5 s and then starts moving towards entrance with a speed of 2 m/s for 20 s. Also, there is no acceleration.
distance traveled in this time
[tex]\Rightarrow s_2=2\times 20\\\Rightarrow s_2=40\ m[/tex]
As, distance cannot shown negative. It is shown in increasing manner.
how many metres are there in 5½ kilometres
Answer:
5500m..................
Find the sum of first five multiple of 5
Answer:
75
Step-by-step explanation:
The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.
Use the coordinates of the labeled point to find the point-slope equation of
the line.
(2, -1)
Answer: (C) [tex]y+1=-2(x-2)[/tex]
Step-by-step explanation:
Slope: y = mx +b
By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3
So our slope is: y = -2x + 3
Now you just have to find the answer that matches.
A right cylinder has a radius of 5 and a height of 9. What is its surface area?
Answer:
B. 140π units²
Step-by-step explanation:
Surface area of a cylinder:
2πrh + 2πr²
2π(5)(9) + 2π(5²)
90π + 50π
140π
Answer:
The correct answer is 140 pi units ^2.
Step-by-step explanation:
AABC is a right triangle in which zB is a right angle, AB = 1, AC = 2. and BC = V3.
COS Cx sin A =
The value of COS Cx sin A by the given data is V3/4.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
We are given that;
AB = 1, AC = 2 and BC = V3
Now,
To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.
We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.
cos C x sin A = (1/2) x (V3/2) = V3/4.
Therefore, by the trigonometric ratio the answer will be V3/4.
Learn more about trigonometric ratios;
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simplify 2x2a^2 x2a^2
simplify36a^3 x 1over 4a^2
express 64 in index form
simplify 5^2 x m^2
and pls also explain briefly how u got the answer
Step-by-step explanation:
> 2×2a²×2a²
8a⁴
> 36a³×1/4a²
9a³×1/a²
9a
> 2⁶
> 5²m²
In a taste test, five different customers are each presented with 3 different soft drinks. The same soft drinks are used with each customer, but presented in random order. If the selections were made by random guesses, find the probability that all five customers witnesses would pick the same soft drink as their favorite. (There is more than one way the customers can agree.)
Answer:
0.01235
Step-by-step explanation:
we can solve for probability by using the formula;
favourable outcome/total number of outcomes
in this question, the number of favorable outcome = 3
the total number of outcomes = 3⁵
= 3x3x3x3x3 = 243
probability = 3/243
= 0.012345678
this can be approximated to be 0.01235
0.01235 is therefore the probability that all 5 customers would pick the same soft drink as their favorite drink.
Can you answer this math homework? Please!
Step-by-step explanation:
[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]
Answer:
2x+3y=7x4
x+4y=8x3
8x+12y=27
3x+12y=24
8x-3x =5x
+12y-+12y=0
27-24=3
5x/5 3/5x
answer = x = 3/5
y=1.85