Answer:
>
Step-by-step explanation:
The correct symbol for the unit conversion is given by 2000 lb = 1 T
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the symbol be represented as A
Now , the weight of the object is given by
Let the first weight be p = 2000 lb
Let the second weight be q = 1 Ton
And , from the unit conversion
2000 lb = 1 Ton
So , the value of q = p
Hence , the symbol is equal to and 2000 lb = 1 Ton
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Can someone help me please
Answer:
initial value: 0rate of change: 200 m/minequation: H = 200TStep-by-step explanation:
The initial value is always the value that corresponds to the independent variable being 0. Here, that's the first entry in the table. The initial Height is 0, when Time is 0.
__
The rate of change can be figured by looking at the change in Height for a change of 1 in Time. Here, the height changes by 200 m for every 1 min change in time. The rate of change is 200 m/min.
__
The equation can be written in slope intercept form using the rate of change and initial value:
(dependent variable) = (rate of change)×(independent variable) + (initial value)
H = 200T + 0
H = 200T . . . . . . . . height in meters for time in minutes
Danny read three books over winter break. The first book had 1,349 pages, the second book had 1,281 pages, and the third book had 1,195 pages. How many total pages did Danny read over the break?
Answer:
3825 pages
Step-by-step explanation:
Add the pages together:
1349+1281+1195 = 3825 pages
Danny read a total of 3,825 pages over winter break, which is well above 1,050 pages, indicating that it was very likely he had to read more than 1,050 pages.
Danny read three books over winter break. To determine the total number of pages Danny read, we need to add up the pages from each book. Here is the step-by-step explanation:
First book: 1,349 pages
Second book: 1,281 pages
Third book: 1,195 pages
Add these numbers together:
1,349 + 1,281 + 1,195 = 3,825 pages in total
Therefore, Danny read a total of 3,825 pages over the break. Clearly, this number is much greater than 1,050 pages, so without doing any calculations, we could confidently say that it's highly likely that Danny had to read more than 1,050 pages based on the individual page counts of each book provided.
For every 5 girls in mr hegarty class there are 4 boys what us the ratio of girls to boys in the class give your answer in its simplest form
Answer:5:4
Step-by-step explanation:
If the measure of arc CD is 120 degrees and the radius is 15 centimeters, what’s the length of arc CD?
A. 5pi cm
B. 10pi cm
C. 90pi cm
D. 45pi cm
Answer"
is it B) 10pi cm
será que me pueden ayudar con las siguiente ecuaciones y con verificación por favor gracias son 8 ecuaciones 1) 3x+7=-5 2) 4=3x+1/4 3) -2/5+2x=4-3x 4) 5x+3/8=3/4 5) 3/5x+4=-3/6 6) 3x-4/9=-7/2-4x 7) 5/6x+5/3=5/4 8) 4/3=3x-1/2
Answer:
see below
Step-by-step explanation:
1. 2+5x=4x+7
5x-4x=7-2
x=5
2. 4x-5=1+3x
4x-3x=1+5
x=6
3. 8-5x-4=-6x+6
-5x+6x=6-8+4
x=2
4. 4x+8+2x=5x-1
6x-5x=-1-8
x= -9
Find the volume. *
7) height = 15 ft; radius = 10 ft
Volume =
Answer:
B
Step-by-step explanation:
Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric functions.
sin(theta)=
cos(theta)=
tan(theta)=
csc(theta)=
sec(theta)=
col(theta)=
What are the answers and how?
Answer:
[tex]\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}[/tex]
Step-by-step explanation:
Given: (8,-15) is on the terminal ray of angle
To find: All the trigonometric ratios
Solution:
Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.
If (x, y) lies on the terminal side of θ then [tex]r=\sqrt{x^2+y^2}[/tex]
[tex]r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17[/tex] units
[tex]\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}[/tex]
In ADEF, DE = 25 cm, EF = 17 cm, and DF -- 20 cm
Which angle in the triangle is the smallest?
Answer:
angle FBE
Step-by-step explanation:
By using the formula, the shortest angle is facing the shortest side
so the shortest angle is angle FBE
In triangle ADEF, angle E is the smallest angle.
Explanation:In triangle ADEF, we are given that DE = 25 cm, EF = 17 cm, and DF = 20 cm. To determine which angle is the smallest, we need to compare the lengths of the sides opposite each angle. The smallest angle will have the smallest side opposite it. Let's compare the lengths:
Side DE is opposite angle D.
Side EF is opposite angle E.
Side DF is opposite angle F.
Since side EF (length 17 cm) is the smallest, angle E is the smallest angle in triangle ADEF.
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The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living between 12.3 and 14.2 years.
Answer: 13.5 % would be the answer
To estimate the probability of a meerkat living between 12.3 and 14.2 years, we can use the empirical rule (68-95-99.7%).
Explanation:The probability of a meerkat living between 12.3 and 14.2 years can be estimated using the empirical rule (68-95-99.7%).
First, calculate the z-scores for the given values using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. For 12.3 years:z = (12.3 - 10.4) / 1.9 = 0.947For 14.2 years:z = (14.2 - 10.4) / 1.9 = 2.000Next, use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
The probability of a meerkat living less than 12.3 years is the same as the probability of a z-score less than 0.947.The probability of a meerkat living less than or equal to 14.2 years is the same as the probability of a z-score less than or equal to 2.000.Finally, subtract the probability of the lower value from the probability of the higher value to find the probability of a meerkat living between 12.3 and 14.2 years.
Which type of graph most readily shows the interquartile range for a data set?
bar graphs
O box plots
O dot plots
o histograms
Answer:
its box plots i got it correct and i got proof
Step-by-step explanation:
What’s the answer to this
Srry but could you please answer the questions.
Answer:
23º
55º
Step-by-step explanation:
Medea found the missing measure using a proportion of the reduced trapezoid.
Analyze Medea’s work. In which step did Medea make an error?
In step 1, the corresponding parts are in different positions.
In step 2, the cross products should be multiplied instead of being equal.
In step 3, she should have added instead of multiplying to simplify.
In step 4, she needed to divide 2 to both sides to get x = 4.
Answer:
In step 1, the corresponding parts are in different positions.
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
Pls help it’s easy but I been staring at this for 2 hours now pls help a lot of points and will give brainlyest
Answer:?
I have no idea sir sorry yt ;-;
Step-by-step explanation:
a theater has 44 seats in the first row,46 seats in the second row,48 seats in the third row,and so on. how many seats are there in row 18?
Step-by-step explanation:
Total rows = 18
This is a even number sequence so
44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78
So 78 seats are in row 18
f(x) = –2x2 + 8x – 1.
Answer:
x=5/8
Step-by-step explanation:
0=2 times 2 + 8x - 1
hope this helps!
Answer:
Step-by-step explanation:
Determine the slope and y-intercept. 4x + y = -10
Answer:
Y intercept is -10
Step-by-step explanation:
Answer:
slope = -4
y-intercept = -10
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:
4x (-4x) + y = -10 (-4x)
y = -4x - 10
Note the slope intercept form: y = mx + b
y = y
m = slope = -4
x = x
b = y-intercept = -10
slope = -4
y-intercept = -10
A rectangular box has its length and width doubled and its height tripled. The volume of the new box will be
A. 12 times as large.
B. 7 times as large.
C. 6 times as large.
D. 5 times as large.
E. 4 times as large.
If I do this with 4 and 5 - I get 29. If I do the same thing with 4 and 6 - I get 40. Thesame thing again to 8 and 9 gives me 89. What do I get if I do the same thing to 5 and 8?
Answer: 69
Step-by-step explanation:
If I do this with 4 and 5 - I get 29.
This can be explained as this:
4 + (5^2) = 4 + 25 = 29
If I do the same thing with 4 and 6 - I get 40. This can be explained as:
4 + (6^2) = 4 + 36 = 40
Thesame thing again to 8 and 9 gives me 89. This can be explained as:
8 + (9^2) = 8 + 81 = 89
What do I get if I do the same thing to 5 and 8. This will be:
5 + (8^2) = 5 + 64 = 69
I need help with this!!!
Answer:
Attached the answer below!!
Step-by-step explanation:
Hope this Helps!!
The cable company takes an SRS (simple random sample) of 250 of the approximately 15,000 households who subscribe to them. They found that 75% of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 60% of their total subscribed households who watch those sports. Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month. What are the mean and standard deviation of the sampling distribution of p?
The mean of the sampling distribution of p is 0.70 and the standard deviation is 0.029 .
To find the mean and standard deviation of the sampling distribution of p , we can use the properties of sampling distributions.
Given:
Sample size, n = 250
Proportion of subscribed households who watch sports, p = 0.70 (from the population)
Sample proportion of households who watch sports, [tex]\( \hat{p} = 0.75 \)[/tex](from the sample)
The mean of the sampling distribution of p is equal to the population proportion, which is p = 0.70 .
The standard deviation of the sampling distribution of p can be calculated using the formula:
[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{p(1-p)}{n}} \][/tex]
Substituting the given values:
[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70(1-0.70)}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70 \times 0.30}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.21}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{0.00084} \]\[ \sigma_{\hat{p}} = 0.029 \][/tex]
So, the mean of the sampling distribution of p is 0.70 and the standard deviation is 0.029 .
Question
The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75, percent of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 70, percent of their total subscribed households who watch those sports.
Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month.
What are the mean and standard deviation of the sampling distribution of p?
Answer: This one on Khan Academy
Step-by-step explanation:
find the selling price if the cost price is $560 and the gain is 15% on cost
Answer: 644
Step-by-step explanation:
plz follow my format
cp percent multiplayer sp
560 +15 115/100
sp = 560 *115/100= 644
Answer:
Given :
Cost Price = $560Gain % = 15%To Find :
Selling PriceUsing Formula :
[tex]{\star{\small{\underline{ \boxed{\sf{\purple{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}}}}[/tex]
Solution :
Finding the selling price by substituting the values in the formula :
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + 15}{100} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{115}{100} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \cancel{\dfrac{115}{100}} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = 1.15 \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \$644}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\red{Selling \: Price = \$644}}}}}}}[/tex]
Hence, the selling price is $644.What is x??? Help please
Step-by-step explanation:
180(Vertically opposite angle)
Step-by-step explanation:
As you can see in the diagram, all of the angles come together and form a circle. Circles have a sum of 360°. We can use this information to answer the problem.
[tex]360 - (35 + 180)[/tex]
[tex]360-215[/tex]
[tex]145[/tex]
So, the measurement of x is 145°
There is a 2/3 probability that yo will have homework in math class. What is the probability you will NOT have homework?
Answer:
1/3
Step-by-step explanation:
3/3 = one whole one
3/3 - 2/3 = 1/3
Answer:
1/3.
Step-by-step explanation:
You will either have homework or not . These are the only possibilities, so:
Probability of not having homework = 1 - 2/3 = 1/3.
On a school field trip, the bus travels 12 miles in 15 minutes. Find the speed of the bus in miles per hour. Use the equation d=rt, where d is distance, r is rate, and t is time
Given Information:
Distance = d = 12 miles
Time = t = 15 minutes
Required Information:
Speed of the bus = r = ?
Answer:
Speed of the bus = r = 48 mph
Step-by-step explanation:
We are given that a bus has traveled a distance of 12 miles in a time period of 15 minutes.
We are required to find the rate or speed at which the bus is traveling.
The relation is given by
[tex]rate = \frac{distance}{time}\\\\r = \frac{d}{t}[/tex]
Where r is the rate or speed, d is the distance and t is the time.
First let us convert time from minutes to hours
as we know 1 hour has 60 minutes,
15/60 = 0.25 hour
Now we will get the speed of the bus in miles per hour
[tex]r = \frac{d}{t}\\\\r = \frac{12}{0.25}\\\\r = 48 \: mph[/tex]
Therefore, the speed of the bus is 48 miles per hour.
Mike and his friends hiked 23 miles on Saturday. They hiked 7 miles less than that on Sunday. Their goal is to hike a total of 50 miles during their trip. How many miles did they hike on Sunday?
Mike and his friends hiked 16 miles on Sunday. They have hiked a total of 39 miles over Saturday and Sunday, which is 11 miles short of their 50-mile goal.
Mike and his friends hiked a total of 23 miles on Saturday and hiked 7 miles less on Sunday. To find out how many miles they hiked on Sunday, we subtract 7 miles from the 23 miles they hiked on Saturday.
So, Sunday's hiking distance = Saturday's hiking distance - 7 miles
Sunday's hiking distance = 23 miles - 7 miles
Sunday's hiking distance = 16 miles.
Now, to check if they met their hiking goal of 50 miles during their trip, we add the distances hiked on both days:
Total hiking distance = Saturday's hiking distance + Sunday's hiking distance
Total hiking distance = 23 miles + 16 miles
Total hiking distance = 39 miles.
They have hiked 39 miles so far, which is short of their 50-mile goal.
A length of tape is 135 centimetres long. It is cut into two pieces. The first piece is twice
as long as the second piece. How long is the shorter of the two pieces of tape?
Answer:
45
Step-by-step explanation:
let the longer tape be x
shorter tape be y
given
x+y=135⇒equation 1
also given
2y=x⇒equation 2
subtituting eq2 in eq1
2y+y=135
3y=135
y=135/3=45
hope this helps
Final answer:
The length of the shorter piece of tape is 45 centimetres after cutting a 135 centimetre tape into one piece that is twice as long as the other.
Explanation:
A length of tape is 135 centimetres long and it is cut into two pieces where the first piece is twice as long as the second piece. To solve this, let the length of the shorter piece be x centimetres. Therefore, the longer piece would be 2x centimetres long.
The total length of the tape is the sum of the lengths of both pieces, which gives us the equation:
x + 2x = 135
Combining like terms, we get:
3x = 135
Dividing both sides by 3, we find:
x = 135 / 3
x = 45
Therefore, the length of the shorter piece of tape is 45 centimetres.
At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?
9514 1404 393
Answer:
6 : 5
Step-by-step explanation:
The ratio is ...
dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5
The ratio of dogs to cats at the shelter is 6 to 5.
Find two numbers that multiply to -40 and add to -6.
Answer:
-10 and 4 are the answer
Step-by-step explanation:
-10 times 4 is -40 and
-10 plus 4 is -6
Hope this helps;)
If x^2+Mx+m is a perfect square trinomial, which equation must be true
Answer:
Um i think you forgot to give us the answer choices
any way here is my answer ( x + M /2 )↑ 2 + m − M↑ 2/4
Step-by-step explanation:
What i did was use the formula (b/2)↑2 to create a new term to complete the square
The "/" signifies a fraction
the "↑" signifies a exponent.
Hope it helps.