Length of a text can be measured with ruler. Therefore, option C is the correct answer.
What is Metric System?Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.
A ruler, sometimes called a rule, line gauge, or scale, is a device used in geometry and technical drawing, as well as the engineering and construction industries, to measure distances or draw straight lines.
Length of a text can be measured with ruler.
Therefore, option C is the correct answer.
Learn more about the Metric System here:
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Answer:
C
Step-by-step explanation:
A linear function is graphed below.
(-1, 4)
(5, -5)
What is the slope of this graphed line?
Answer:
[tex]-1\frac{1}{2}[/tex]
Step-by-step explanation:
We have two coordinate points and are asked to find a slope.
When finding slope, we can use the formula listed :
[tex]\frac{y^2-y^1}{x^2-x^1}}[/tex]
To understand what the variables are, you can take this :
[tex](x^1,y^1)[/tex]
[tex](x^2,y^2)[/tex]
Substitute the points :
[tex](-1,4)[/tex]
[tex](5,-5)[/tex]
Now substitute it into the formula :
[tex]\frac{-5-4}{5-(-1)}[/tex]
[tex]\frac{-3}{2}[/tex]
[tex]-1\frac{1}{2}[/tex]
Answer:
Step-by-step explanation:
find the slope m by using the slope formula
m = (y2 - y1) / (x2 - x1)
Point1 = ( -1,4) where it takes the form (x1,y1)
Point2 =(5, -5) where it takes the form (x2,y2)
notice the form is important
m = (-5 -4) / (5 - (-1))
m = -9 / ( 5 +1 )
m = -9 / 6
m = - 3/2
A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.5 mm and a standard deviation of 2.5 mm. What percent of the butterflies had the following wingspans? A. Less than 48.9 mm B. Between 49 and 55
Answer:
A. 7.5%
B. 68.26%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 52.5 mm and a standard deviation of 2.5 mm.
This means that [tex]\mu = 52.5, \sigma = 2.5[/tex]
A. Less than 48.9 mm
The proportion is the pvalue of Z when X = 48.9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48.9 - 52.5}{2.5}[/tex]
[tex]Z = -1.44[/tex]
[tex]Z = -1.44[/tex] has a pvalue of 0.075
0.075*100% = 7.5%, which is the answer.
B. Between 49 and 55
The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So
X = 55
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 52.5}{2.5}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 49
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 52.5}{2.5}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826*100% = 68.26%, which is the answer.
The percent of the butterflies had the given wingspans are;
A) 7.5%
B) 76.64%
We are given;
Population mean; μ = 52.5 mm
Population standard deviation; σ = 2.5 mm
Formula for z-score is;
z = (x' - μ)/σ
A) For less than 48.9 mm,P(X' < 48.9);
z = (48.9 - 52.5)/2.5
z = -1.44
From online p-value from z-score calculator, we have;
P(X' < 48.9) = 0.075 or 7.5%
B) For x' between 49 and 55, P(49 < X < 55)
At x' = 49;
z = (49 - 52.5)/2.5
z = -1.4
Z-score at x' = 55;
z = (55 - 52.5)/2.5
z = 1
From online p-value from z-score calculator, the p-value between the two z-scores is;
p = 0.7664 or 76.64%
Read more about z-scores at; https://brainly.com/question/6316394
y is directly proportional to the square root of (x+2). when x =7 y=2. find y when x =98
Answer:
98/7=14
14*2=28
y=28
Step-by-step explanation:
Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.
-4x+y=12
-8x+2y=14
Answer:
no solution
Step-by-step explanation:
if the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?
Answer:
4,500 cubic units
Step-by-step explanation:
Answer:
4,500 cubic units
Have a good day.
(07.01)
What is the value of x in the equation x + 10 = 13? (4 points)
1-3
0 2 3
3) 13
4) 23
Answer:
x=3
Step-by-step explanation:
x+10=13
x=13-10
x=3
what is the markup percentage based on retail for an item with a dollar mark up of $70.00, cost of $30.00, and retail price of $100.00?
Answer:
70/100= 0.7= 70%
70%
What’s the answer to 2 + 6 = ?
I don’t care what you say, this is just get one of you a Brainliest.
2+6 is 8
(It says I need 20 characters to make an answer so Im just writing this down)
Solve the following word problem by creating and solving a system of linear equations. Rachel offers to go to the coffee shop to buy cappuccinos and lattes for her co-workers. She buys a total of nine drinks for $35.75. If cappuccinos cost $3.75 each and the lattes cost $4.25 each, how many of each drink did she buy? a 2 cappuccinos, 7 lattes b 6 cappuccinos, 3 lattes C 4 cappuccinos, 8 lattes d 5 cappuccinos, 4 lattes
Answer:
85
Step-by-step explanation:
What is the answer please help no links I will report
Answer: I AM GOING TO SAY THE ANSWER IS 25%
Step-by-step explanation:
Select the correct answer. What is the period of ? A. B. C. D.
Answer:=
2π/3
Step-by-step explanation:
plato
Find the surface area of the following figure with the given dimension
Answer:
435 in.²
Step-by-step explanation:
Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)
Area of base = s²
s = 15 in
Area = 15² = 225 in²
Perimeter of the base = 4(15) = 60 in
Slant height = 7 in
Surface Area = 225 + ½(60)(7)
= 435 in.²
Examine the diagram, where quadrilateral HIJK is inscribed in OC.
H
RD
K
112
1
J
© 2016 StrongMind. Created using GeoGebra.
If mZIJK = 112°, what is mZIHK?
Answer:
m<IHK = 68°
Step-by-step explanation:
In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.
Therefore,
m<IHK = 180 - m<IJK
m<IHK = 180° - 112°
m<IHK = 68°
1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=
Answer:
A=3
B=-9
C=4
Hope this helps ^^
. An oil refnery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refnery to storage tanks located on the south bank of the river 6 km east of the refnery. The cost of laying pipe is $400,000ykm over land to a point P on the north bank and $800,000ykm under the river to the tanks. To minimize the cost of the pipeline, where should P be located
Answer:
The point P should be located at 0,51 Km from point B, to minimize costs
Step-by-step explanation:
The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:
Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L
where L is the hypothenuse of the right triangle ( A , B , P )
Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²
C (x) = 400000* ( 6 - x ) + 800000* √4 + x²
C(x) = 2400000 - 400000*x + 800000* √4 + x²
Tacking derivatives on both sides of the equation
C´(x) = - 400000 + 800000* ( 2x)/√4 + x²
C´(x) = 0 - 400000 + 1600000*x / √4 + x² = 0
- 400000* (√4 + x² ) + 1600000*x = 0
- (√4 + x² ) + 4* x = 0
- (√4 + x² ) = - 4*x
Squaring both sides
4 + x² = 16*x²
15*x² = 4
x² = 4/ 15
x = ± √0,27
x = ± 0,51
We should dismiss the negative solution
x = 0,51 Km
The point P should be located at 0,51 Km from point B
What is the 21st term of the sequence with a1 = -7 and d = 3?
Answer:
53
Step-by-step explanation:
[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]
Answer
53
Step-by-step explanation:
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 1020, 1140, and 960, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15
How many units of each product should the company produce in order to maximize its profit?
Product A
Product B
Product C
What is the largest profit the company can realize?
$
Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)
labor in Dept. I
labor in Dept. II
labor in Dept. III
Answer:
a)
product A = 12O units
Product B = 220 units
product C = 280 units
b) $9000 = max/largest profit
c) No resource left
Step-by-step explanation:
Available hours
Dept. I = 1020
Dept. II = 1140
Dept. III = 960
Total available hours = 3120 hours
products produced by each department
product A Product B Product C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. III 2 2 1
profits $18 $12 $15
Determine how many units of each product to be produced to attain maximum profit
let each product be represented as : x , y , z
2x + y + 2z = 1020 -------- ( department A ) --- 1
3x + y + 2z = 1140 -------- ( department B ) --- 2
2x + 2y + z = 960 --------- ( department c ) ---- 3
max profit : 18 x + 12y + 15 y
solving equation 1 from 2
x = 120
solve equation 2 from 3 simultaneously
x - y + z = 180
-y + z = 60
solve equation 1 and 3
-y + z = 60
∴ z = 60 + y
back to equation 1
2( 120 ) + y + 2( 60 + y ) = 1020
240 + y + 120 + 2y = 1020
∴ y = (1020 - 360 )/ 3 = 220
therefore ; z = 60 + 220 = 280
amount of each product to be produced to gain maximum profit
product A = 12O units
Product B = 220 units
product C = 280 units
ii) The largest profit
18 ( 120 ) + 12(220) + 15 ( 280 ) = $9000
Evaluate
56% of 700
Can someone please help me ;)
. Eado fime Blend buys lunch at school, the balance on her school lunch account changes
by 53. Last month, Eiend's balance changed by-536 in all. She wants to know how
many times she bought lunch last month
Which expression represents the number of times
Een bought lunch last month?
- 36 - 3
-263
No LINKS
Answer:
-36 ÷ -3
Step-by-step explanation:
Change in her school lunch account balance per lunch = -3
Total change in her school lunch balance last month = -36
Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch
= -36 ÷ -3
= -36/-3
= 12 times
Elena bought lunch 12 times last month
someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING
Answer:
a) 8 m
Step-by-step explanation:
a) all sides of a square are equal - there's 4 sides.
4x = 32m
x = 32/4
x = 8 m
i like ur toga pfp besty :)
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Answer:
r = 19.0
s = 17.7
Step-by-step explanation:
In the given right triangle ABC,
Measure of Hypotenuse (AC) = 26
m(∠CAB) = 43°
By applying sine rule in the given triangle,
sin(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{BC}{AC}[/tex]
sin(43)° = [tex]\frac{s}{26}[/tex]
s = 26[sin(43)°]
s = 17.73
s ≈ 17.7
Similarly, by applying cosine rule in the given triangle,
cos(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{AB}{AC}[/tex]
= [tex]\frac{r}{26}[/tex]
r = 26[cos(43)°]
r = 19.02
r ≈`19.0
Please help I’ll give points + brainalist
Answer:
D
Step-by-step explanation:
median because it indicates the expected range of gas prices
Tom has £20 what is the greatest amount of meals he can buy
Answer:
he can buy McDonalds
he can go to grocery store and buy something to cook or maybe bakery iteams
Answer:
hmm
Step-by-step explanation:
he can go buy some rice and boil it as dinner for a lot of food
) What is the absolute value |-5 l
Answer: 5
Step-by-step explanation:
find the area of this parallelogram
Answer:
98 in²
Step-by-step explanation:
14x7=98
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 12y = -96
Answer:
2/3x+8=y
Step-by-step explanation:
8x-12y=-96
8x+96=12y
8/12x+8=y
2/3x+8=y
The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.
What is equation?Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.
Given:
The equation, E = 8x – 12y = -96,
The standard intercept form of a line,
[tex]y = mx + c[/tex]
Here m is the slope,
For this form, arrange the equation,
– 12y = -8x - 96
(Do multiplication of -1/ 4 on both sides)
3y = 2x + 24
Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.
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4n = 2n+6 I really need help
Helppp plssssssssssss
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.
how do you solve 6 1/2 x 16?
Answer:
Step-by-step explanation:
Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )
divide 16 by 2: 8
multiply that by 13: 104
Tell me if this helps or not bc I'm not really sure, but I really hope I helped!
What Happens to the value of the expression 100 minus X as X increases
Step-by-step explanation:
if f (x) = 100 - x;
as x increases, the value of f(x) will decrease
Answer:
100 decreases
Step-by-step explanation: