Answer:
Step-by-step explanation:
(3a) - 27 = 3a - 3^3 = 3(a - 3^2)
Next time, please share all of the answer choices. Thanks.
A bakery was about to sell fresh baguettes, and people formed a line outside to wait. While waiting for the bread to bake, every space between two people in the line was filled by a new person who had joined the line. More time passed, and again each space between the people waiting was filled with a new person who joined the line. Finally, 85 fresh baguettes were brought out and one baguette was sold to each person. How many people were standing in the original line?
Answer:
The number of people standing in the original line is 22 people
Step-by-step explanation:
The information given are;
The number of baguettes that was shared by the people on the line = 85
The number of baguettes each person received = 1 each
Therefore;
The number of people that were finally on the line = 85
Let the number of people in the original line = X
Then each space between two people in X was filled by 1 new person of the first set of people who joined the line
Therefore;
The number of the first set of people who joined the line = The number of spaces between two count of people in X
Which gives;
The number of people who joined the line = X - 1
The new total number of people on the line = X + X - 1 = 2·X - 1
As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line
Therefore, the number of people in the second set = Number of people waiting - 1
Which gives;
The number of people in the second set = 2·X - 1 - 1 = 2·X - 2
The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3
The 85 baguettes is then able to go round (each) among the total number of people on the line
Therefore;
The total number of people on the line = The number of baguettes sheared
4·X - 3 = 85
4·X = 85 + 3 = 88
X = 88/4 = 22
Therefore;
The number of people standing in the original line = 22.
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is [tex]x=20[/tex] degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.
[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]
Hence, the angle is [tex]x=20[/tex] degree.
To know more about the angle
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Which of the following represents a rotation of △LMN, which has vertices L(−7,7), M(9,9), and N(5,−5), about the origin by 90°?
Answer:
L'(-7, -7), M'(-9, 9), and N'(5, 5)
Step-by-step explanation:
Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)
so L'(-7, -7), M'(-9, 9), and N'(5, 5)
The question was incomplete. Please check below the full content.
Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?
a) L(-7, -7) M(-9. -9) N(5, 5)
b) L(-7. -7) M(-9. 9) N(5, 5)
c) L(-7, -7) M(-9, 9) N(5, -5)
d) L (7, -7) M(9, 9) N(-5, 5)
The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are
L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.
Rotation of a point :
The rotation of a point (x,y) about the origin by 90° is (-y,x).Given vertices of ΔLMN are L(-7,7), M(9,9), and N(5, -5)Let the rotations of L, M, and N are L', M', and N' respectively.
The rotation of a point L(-7,7) about the origin by 90° is (-7,-7).The rotation of a point L(9,9) about the origin by 90° is (-9,9).The rotation of a point L(5,-5) about the origin by 90° is (5,-5).Hence L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices
L, M, and N of ΔLMN about the origin by 90°.
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10 points and giving out brainiest!! Please help, this is pretty easy, I forgot how to do it though
Answer:
Equation of the line; y=x+3
Step-by-step explanation:
Graph the line that passes through the points (5,8) and (3,6) and determine the equation of the line.
Equation of a line: y=mx +b
Let's find the slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
8-6/ 5-3= 2/2 = 1
y=x+b
Substitute the points in.
y= 8
x = 5
8 = 5+b
b= 3
The y-intercept is 3.
y=x+3
Points on the line: (-2,1) (-1,2) (0,3) (1,4) (2,5)
Which number has a repeating decimal form?
Answer:
Option D
Step-by-step explanation:
A. [tex]\sqrt{15}[/tex] = 3.87298
B. 11/25 = 0.44
C. 3/20 = 1.25
D. 2/6 = 0.333........
So, D had a repeating decimal form because it repeats the number 3.
Answer:
Step-by-step explanation:
D: 2/6. Note that 2/6 = 1/3 = 0.3333333.... (repeating decimal form)
If you have a gerbil, then you are a pet owner. Question 7 options: If you are not a gerbil, then you are not a pet owner. True If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets. If you do not have a gerbil, then you are not a pet owner. False; you could have a dog. If you are not a pet owner, then you do not have a gerbil. True
Step-by-step explanation:
If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.
If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.
If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.
Hope this helps!
Answer:
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets
Step-by-step explanation:
What is the volume of a right triangular pyramid whose base is 5 meters on each side and whose altitude is 4 meters?
Answer: 10 for each side but in total is 20
Step-by-step explanation: u multiply 5 x 4 = 20 divided by 2 to get 10 meters and another is 4 divided by 2 is 2 x 5 is 10 meters times 2 is 20 total
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answer:
BD = 5
Step-by-step explanation:
∠A = 60°
Since AB = 20 = BC, Then ∠B = 60° resulting in a equilateral triangle with ∠C = 60°. Then dividing ∠DAE into half gives 4 = angles of 15° yielding each secition of BC being equal to 20/4 = 5. Do i don't think DE ≈ 9.28 cannot occur.
Use the sample data and confidence level given below to complete parts (a) through (d).
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4144 patients treated with the drug, 124
developed the adverse reaction of nausea. Construct a 99% confidence interval fof the proportion of adverse reactions.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E-O
(Round to three decimal places as needed.)
c) Construct the confidence interval
(Round to three decimal places as needed)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
O A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true
value of the population proportion.
Answer:
Given that,
Sample size,
n
=
4369
Sample proportion,
^
p
=
185
4369
=
0.0423
a)
The sample proportion is a point estimate of the population proportion.
^
p
=
0.0423
b)
The margin of error is defined as:
M
E
=
Z
0.10
/
2
×
√
^
p
(
1
−
^
p
)
n
Excel function for the confidence coefficient:
=NORMINV(0.10/2,0,1)
M
E
=
1.645
×
√
0.0423
(
1
−
0.0423
)
4369
M
E
=
0.005
c)
The 90% confidence interval for the population proportion is defined as:
^
p
±
z
0.10
/
2
√
^
p
(
1
−
^
p
)
n
0.0423
±
1.645
√
0.0423
(
1
−
0.0423
)
4369
(
0.0373
,
0.0473
)
25. On a farm, there are c cows and 15
sheep. There are 4 more sheep than
cows. Which equation represents the
situation?
A C= 15 +4
B C= 15-4
CC=4 - 15
D C = 4 x 15
Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows
Step-by-step explanation:
write the inequality shown by the shaded area
Answer: y≤ [tex]\frac{7}{3}x+2[/tex]
Step-by-step explanation:
Since we are given the equation, all we have to do is to fix the inequality. We have four options: <, >, ≤, and ≥. The line in the graph is a solid line. This means the line reaches and is equal to the points on the line. We can automatically eliminate ≤ and ≥. Now, we know the answer is ≤. The shading shows that the answer is less than 7/3x+2. In other words, y≤ [tex]\frac{7}{3} x+2[/tex].
4 Assuming the triangle was made of a material of uniform thickness which of the centres would also be the
centre of gravity of the triangle? Support your choice.
Step-by-step explanation:
you can split triangle in two 90-:80 triangles
1. A population of 20 rabbits is released into a wildlife region. The population is growing at a rate of 60% per year. What is the population of rabbits after 8 years and what equation did you use? 2. The population of white rhinos in 2001 was 11,670. The population is declining by 9% each year. What is the population expected to be in the year 2021 and what equation did you use?
Answer:
I think it's 12
Step-by-step explanation:
i just multiplied 60 by 20%
If the tangent value is 33*, the cotangent value to the hundredths degree is: 0.65 0.649 1.54 1.540
Answer:
1.54
Step-by-step explanation:
The cotangent value is referred to as the reciprocal or the opposite of a given tangent value. Cotangent is also referred to as it's short form called cot
Mathematically, Cotangent (cot) = 1/tan
In the above question, we are given a value where:
tan = 33°
Cotangent (cot) = 1/tan 33°
Cotangent (cot) = 1.5398649638
We are told to approximate to the nearest hundredth
= 1.54
Please help answer! It’s due today!
Answer:
need thiss
Step-by-step explanation:
A car is known to be 88% likely to pass inspection at a certain Motor Vehicle Agency inspection office. What is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this Motor Vehicle Agency inspection office? A. 0.4032 B. 0.6663 C. 0.3337 D. 0.88
Answer:
The correct option is;
C. 0.3337
Step-by-step explanation:
We note that for a binomial probability distribution, we have;
[tex]p(r\geq \gamma)=\sum_{\gamma = r}^{ n}\dbinom{n}{r}\cdot \left (p\right )^{\gamma }\cdot \left (1-p\right )^{n - \gamma}[/tex]
Which gives;
[tex]p(x \geq 90)=\sum_{r = 90}^{ 100}\dbinom{100}{90}\cdot \left (0.88\right )^{\gamma }\cdot \left (1-0.88\right )^{100 - \gamma}[/tex]
[tex]\dbinom{100}{90}\cdot \left (0.88\right )^{90 }\cdot \left (1-0.88\right )^{10} = 0.108033[/tex]
[tex]\dbinom{100}{91}\cdot \left (0.88\right )^{91 }\cdot \left (1-0.88\right )^{9} = 0.08706[/tex]
[tex]\dbinom{100}{92}\cdot \left (0.88\right )^{92 }\cdot \left (1-0.88\right )^{8} = 0.062456[/tex]
[tex]\dbinom{100}{93}\cdot \left (0.88\right )^{93 }\cdot \left (1-0.88\right )^{7} = 0.039399[/tex]
[tex]\dbinom{100}{94}\cdot \left (0.88\right )^{94 }\cdot \left (1-0.88\right )^{6} = 0.021516[/tex]
[tex]\dbinom{100}{95}\cdot \left (0.88\right )^{95 }\cdot \left (1-0.88\right )^{5} = 0.09965[/tex]
[tex]\dbinom{100}{96}\cdot \left (0.88\right )^{96 }\cdot \left (1-0.88\right )^{4} = 0.003806[/tex]
[tex]\dbinom{100}{97}\cdot \left (0.88\right )^{97 }\cdot \left (1-0.88\right )^{3} = 0.001151[/tex]
[tex]\dbinom{100}{98}\cdot \left (0.88\right )^{98 }\cdot \left (1-0.88\right )^{2} = 0.000258[/tex]
[tex]\dbinom{100}{99}\cdot \left (0.88\right )^{99 }\cdot \left (1-0.88\right ) = 0.0000383[/tex]
[tex]\dbinom{100}{100}\cdot \left (0.88\right )^{100 }\cdot \left (1-0.88\right )^{0} = 0.00000281[/tex]
P(r≥90) is therefore 0.1083 + 0.08706 + 0.062456 + 0.039399 + 0.021516 + 0.09965 + 0.003806 + 0.001151 + 0.000258 + 0.0000383 + 0.00000281 = 0.333685 ≈ 0.3337.
What is the distance between the points (7 , 35) and (7 , 21) in the coordinate plane? A. 7 units B. 56 units C. 28 units D. 14 units
Answer:
14 unitsOption D is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( 7 , 35 ) -----> ( x1 , y1 )
B ( 7 , 21 ) -------> ( x2 , y2 )
Now, finding the distance between these two points:
[tex] \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } [/tex]
Plug the values
[tex] = \sqrt{(7 - 7) ^{2} + {(21 - 35)}^{2} } [/tex]
[tex] = \sqrt{ {0}^{2} + {( - 14)}^{2} } [/tex]
0 raised to any positive power equals 0
[tex] = \sqrt{0 + {( - 14)}^{2} } [/tex]
When adding or subtracting 0, the quantity doesn't change
[tex] = \sqrt{ {( - 14)}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
[tex] = 14 \: units[/tex]
Hope this helps...
Best regards!
~ a music lover
helppp me plz im begging u
Answer:
The answer is 1
Step-by-step explanation:
You can try out all the numbers one by one but I'll just show you why 1 works.
First you need to replace x with 1:
-1+8>6
-1+8=7
7 is greater than 6 so 1 is the answer.
I hoped that helped!
(Brainliest???)
:)
Two parallel lines are 7 units apart. If you
reflect a shape over both, how far apart will the
preimage and final image be?
Answer:
14 units
Step-by-step explanation:
We apply the Theorem of reflection over parallel lines.
Theorem: The composition of two reflections over parallel lines that are h units apart is the same as a translation of 2h units.
Given that the two parallel lines are 7 units apart
h=7 units
2h= 2 X 7 =14 units
Therefore, the preimage and the final image will be 14 units apart.
Square
Move the active vertex to change the shape of the quadrilateral and
check all properties that apply.
Square
All sides congruent
Opposite sides congruent
All angles congruent
Opposite angles congruent
Diagonals congruent
OOOO
Diagonals bisect
Check
Answer shown above
Answer:
shown above
move active check
Arithmetic mean between 2 and 8
Answer:
5
Step-by-step explanation:
to find the mean you add the numbers together, and divide by the number of numbers you're using. So, we'd do 2+8, which is 10, and then 10/2, which is 5.
Answer:
5
ADD . NUMBERS TOGETHER
DIVIDE BY TWO
SO IN THIS CASE
8+2=10
10/2=5
Step-by-step explanation:
HOPE I HELPED!!!
CAN I GET BRAINLIEST ?(DESPERATELY TRYING TO LEVEL UP)
-ZYLYNN JADE
Ok I added the Pics to make it easy
Answer:
Bill and Ted are going to order t-shirts for there school clubs. The t-shirts will have the club logo printed on the front. Bill and Ted ask two local t-shirt companies to give them a price. * Patty's Printing charges $21.50 for each t-shirt. * Sandra's shirts has a one-time set up fee for $63 and then charges $18 for each t-sh
Step-by-step explanation:
Part 2: Table Chart:
Number of t-shirts: 2
Patty's cost: 43$
Sandra's cost: : 99$
Number of t-shirts: 4
Patty's cost: 86$
Sandra's cost: : 135$
Number of t-shirts: 6
Patty's cost: 129$
Sandra's cost: : 171$
Number of t-shirts: 8
Patty's cost: 172$
Sandra's cost: : 207$
Number of t-shirts: 10
Patty's cost: 215$
Sandra's cost: : 243$
Number of t-shirts: 12
Patty's cost: 258$
Sandra's cost: : 279$
Number of t-shirts: 14
Patty's cost: 301$
Sandra's cost: : 315$
Number of t-shirts: 16
Patty's cost: 344$
Sandra's cost: : 351$
Number of t-shirts: 18
Patty's cost: 387$
Sandra's cost: : 387$
Part 3: Patty's Printing
Linear equation = equation of a line= y=mx+b
y=21.5x
Part 4: Sandra's Shirts:
Linear equation = equation of a line= y=mx+b
y= 18x+63
Part 5: Note to Jackie
Dear Jackie, I recommend Sandra's shirts.
Write equations:
Sandra's Shirts = 18x+63
Patty's Printing = 21.5x
Sandra's Shirts: 495=18x+63 = 24 shirts
Patty's Printing: 495=21.5x = 23 shirts
Part 6: Refute Jackie
Sandra's Shirts is more expensive at the beginning, but as you buy more shirts (greater than 18), Patty's Printing becomes cheaper.
You should probably add to this, but I can't think of anything else.
Part 7: Equality
At 18 shirts (see table), the shirt cost is equal.
You should probably add to this, but I can't think of anything else.
18x+63=21.5x
Words of encouragement:
Good luck!
Solve and graph |-8x|<8 help me lol
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
Find the perimeter of the shaded region. Round your answer to the nearest hundredth.
Answer:
20.56 units.
Step-by-step explanation:
Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.
Perimeter of 4 straight sides [tex]=4\times 2=8\text{ units}[/tex]
Perimeter of a arc [tex]=\dfrac{1}{4}\times 2\pi r[/tex]
Perimeter of 4 arcs [tex]=4\times \dfrac{1}{4}(2\pi r)=2\pi r[/tex]
Here, r is the radius. So,
[tex]r=\dfrac{6-2}{2}=\dfrac{4}{2}=2[/tex]
Perimeter of 4 arcs [tex]=2(3.14)(2)=12.56[/tex]
Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs
[tex]=8+12.56[/tex]
[tex]=20.56\text{ units}[/tex]
Therefore, the perimeter of the shaded region is 20.56 units.
A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
In chemistry laboratory, Maria put a liquid solution of sodium chloride in
two flasks. She put 0.25 mL of the solution in one flask and 1.75 mL of
the solution in the other flask.
Find the total amount of the liquid sodium chloride solution using
significant digits.
Answer:
[tex]Total = 2.00mL[/tex]
Step-by-step explanation:
Given
Solution: NaCl
Flask 1: 0.25mL of NaCl
Flask 2: 1.75mL of Nacl
Required
Calculate the total amount of the solution
The total amount of the solution is calculated by adding the size of the contents in both flasks
i,e,
[tex]Total = Flask\ 1 + Flask\ 2[/tex]
[tex]Total = 0.25mL + 1.75mL[/tex]
[tex]Total = 2.00mL[/tex]
Answer:
yep it is 2.00
Step-by-step explanation:
Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=
Hey there! :)
Answer:
29/28.
Step-by-step explanation:
Starting with:
[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]
Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]
Add the fractions:
[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]
Therefore, the fractions sum up to 29/28.
Answer:
1/4 + 2/7 + 1/2
Find a number that 4,7, and 2 have in common
List the multiples o 4,7, and 2
4,8,12,15,20,24,28,32,36,40
7,14,21,28,35,42,49,56,63,70
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40
4,7,and 2 all have 28 so 28 is the common denominator
1/4 = 1/4 x 7/7 = 7/28
you can multiply because 7/7 = 1 so you are just multiplying by 1
2/7 x 4/4 = 8/28
1/2 x 14/14= 14/28
7/28 + 8/28 + 14/28 = 29/28 or 1 1/28
Hope this helps
Step-by-step explanation:
There is a equilateral triangle with sides of 13 inches, how do I find the area of that triangle?
Answer:
73.18
Step-by-step explanation:
equilateral triangle means all sides are the same
A=(√3/4)a^2
A=(√3/4)*13^2
A=73.18 inches square
Answer:
73.18 square inches.
Step-by-step explanation:
To find the area of an equilateral triangle, we use a certain formula.
Where the side length is represented by s, the area is (sqrt(3))/4 * s^2.
Since s = 13, you will have (sqrt(3))/4 * 13^2 = 1.732050808/4 * 169 = 292.7165865/4 = 73.17914662. You can round that to 73.18.
So, the area of the triangle is 73.18 square inches.
Remember to use your units when presenting your answer, and hope this helps!
In a city, taxicab fare is .80 cents for the first 1/4 mile and .20 for additional 1/4 mile. How far can you travel for $5.00?
Answer:
5 1/2 MILES
Step-by-step explanation:
$5.00-$.80=$4.20
4.20/.20=21/4= 5 1/4+1/4= 5 2/4 OR 5 1/2 MILES
Hope this help!
Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?
Answer:
4x
Step-by-step explanation:
When you have a parallel line, the slope of the line is the same. So the slope of (-4,3),(-4,7)=4 would be the same as for example 4x+5