Answers
Related Questions
Solve the following expression: 2.12 x 10^4 + 3.24 x 10^4 =
Answers
Answer:
5.44x 10^4
Step-by-step explanation:
hello :
2.12 x 10^4 + 3.24 x 10^4 = (2.2+3.24)10^4 = 5.44x 10^4
Which statements can be represented by this equation? Select three options.
2n-9.2 =n+4/5
Answers
Answer:
1, 3, 5
Step-by-step explanation:
Let the number be n
1.Twice a number minus nine and two tenths is the same as the number plus four fifths.
Twice a number is 2n. nine and two tenth = 9.2. Therefore twice a number minus nine and two tenths = 2n - 9.2. the number plus four fifths = n + 4/5
The resulting equation is 2n-9.2 =n+4/5
2.Nine point two decreased by double a number is the same as the number added to four fifths.
Nine point two = 9.2, double a number = 2n. Therefore, Nine point two decreased by double a number is 9.2 - 2n
The resulting equation gives 9.2 - 2n = n + 4/5
3.Nine point two less than twice a number is equal to the number added to four fifths.
Nine point two = 9.2, twice a number = 2n. Therefore Nine point two less than twice a number = 2n - 9.2
The resulting equation is 2n-9.2 =n+4/5
4.Two times the difference of a number and nine and two tenths is equal to the number plus four fifths.
The difference of a number and nine and two tenths is given by n - 9.2. Therefore, Two times the difference of a number and nine and two tenths is 2(n - 9.2).
The resulting equation is 2(n - 9.2) = n + 4/5
5.Double a number decreased by nine and two tenths is the same as the sum of four fifths and the number.
Double a number decreased by nine and two tenths is 2n - 9.2
The resulting equation is 2n-9.2 =n+4/5
Answer:
1 Twice a number minus nine and two-tenths is the same as the number plus four-fifths.
3 Nine point two less than twice a number is equal to the number added to four-fifths.
5 Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
Step-by-step explanation:
A crane has a cable with a breaking strain of 6400 kg
measured to 2 significant figures.
It is used to lift crates which weigh 90 kg measured to the nearest 10 kg.
What is the greatest number of crates that can safely be lifted
at one time without breaking the cable?
Some working must be shown.
Answers
The greatest number of crates that a crane with a breaking strain of 6400 kg can safely lift at one time (with the crate weight marked to the nearest 90 kg) is 71 crates.
Explanation:In this problem, we need to determine the maximum number of crates a crane can lift without breaking its cable. The breaking strain of the cable can be interpreted as the maximum weight, or load, the cable can safely support. This is given as 6400 kg. Each crate the crane is lifting is said to weigh 90 kg.
To find the maximum number of crates that can be safely lifted, we divide the breaking strain (the total load the cable can bear) by the weight of each individual crate. Therefore:
6400 kg (total load) / 90 kg (load per crate) = 71 crates
However, since we can't lift fractions of a crate, we should round down to the nearest whole number, which gives us a maximum of 71 crates that can be lifted safely without the cable breaking.
Learn more about Lifting capacity of a crane here:https://brainly.com/question/36454874
#SPJ12
To find the maximum number of crates that can be lifted without exceeding the cable's breaking strain of 6400 kg, divide the breaking strain by the weight of one crate (90 kg) and round down to the nearest whole number, which results in 71 crates.
To determine the greatest number of crates that a crane cable with a breaking strain of 6400 kg can lift at one time, you perform a simple division. The weight of each crate is given as 90 kg (measured to the nearest 10 kg).
To ensure safety, you take the total breaking strain of the cable and divide it by the weight of one crate:
Breaking strain of cable = 6400 kg
Number of crates = Breaking strain of cable / Weight of one crate
Number of crates = 6400 kg / 90 kg/crate
Number of crates = 71.111...
Since you cannot lift a fraction of a crate, round down to the nearest whole number.
The greatest number of crates that can be lifted without breaking the cable is 71 crates.
A test has a mean of 65 with standard deviation of 5. What percent of the students would you expect to receive a grade of 55 or more?
a. 2.5%
b. 95%
c. 13.5%
d. 97.5%
e. none of the above
Answers
WORTH BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!What is the solution to the equation x + 3 = 27? 24 30 81 90
Answers
Answer:
should be 24
Step-by-step explanation:
x+3=27
-3 -3 take away 3 on both sides to leave the variable by itself
x = 24
Glen received $2,250 loan from bank. After six months, he paid back $2,295 and closed the loan. Find the rate of interest
Answers
Answer: 6.824%
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
The rate of interest is 4% and this can be determined by using the formula of simple interest.
Given :
Glen received a $2,250 loan from the bank. After six months, he paid back $2,295 and closed the loan.The formula of simple interest can be used in order to determine the rate of interest. The formula of simple interest is given by:
A = P(1 + rt)
where A is the final amount, r is the rate of interest, t is the time period in year and P is the principal amount.
Now, substitute the values of all the known terms in the above formula.
2295 = 2250(1 + 0.5r)
Simplify the above expression in order to determine the value of 'r'.
2295 = 2250 + 1125r
45 = 1125r
r = 0.04
r = 4%
The rate of interest is 4% and this can be determined by using the formula of simple interest.
For more information, refer to the link given below:
https://brainly.com/question/2793278
Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 liters of
water, a container with 3.25 liters of water, and a container with 4.85 liters of water. Does she
have enough water? Use estimation only to decide. Explain why you are confident in your
estimate.
Answers
Answer:
Yes, she has enough water.
Explanation:
To estimate the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.
For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13
Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?
To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.
What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.
That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.
The diagram below shows scalene triangle WXY. The measure of ZWXY is 710
Answers
Answer:
[tex]m\angle WYX=46^o[/tex]
[tex]m\angle YWX=63^o[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
A scalene triangle has three different interior angles and three different length sides
In this problem
[tex]m\angle WYX=46^o[/tex] ----> by vertical angles
[tex]m\angle WXY=71^o[/tex] ----> is given
Find the measure of the third angle ∠YWX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
[tex]46^o+71^o+m\angle YWX=180^o[/tex]
[tex]m\angle YWX=180^o-117^o=63^o[/tex]
Verify each statement
1) [tex]m\angle WYX=46^o[/tex] ---> is true (see explanation)
2) [tex]m\angle YWX=63^o[/tex] ---> is true (see explanation)
3) [tex]m\angle WXY=46^o[/tex] ---> is not true because ∠WXY is given and is 71 degrees
4) [tex]m\angle YWX=46^o[/tex] ---> is not true because [tex]m\angle YWX=63^o[/tex]
5) [tex]m\angle WYX=134^o[/tex] --> is not true because [tex]m\angle WYX=46^o[/tex]
The question seems to contain an error - a triangle's angles cannot sum to more than 180 degrees. Assuming the triangle issue is corrected, principles like the Triangle Sum Theorem, and laws of sines and cosines would be applied to solve it.
Explanation:The question refers to a diagram depicting scalene triangle WXY, which suggests a problem in geometry, a branch of mathematics. However, the information about the measure of angle ZWXY being 710 degrees seems incorrect since the sum of angles in any triangle cannot exceed 180 degrees. It appears there's a typographical error or a misunderstanding in the transcription of the problem. In a triangle, the measures of the three interior angles always add up to 180 degrees, and no single angle can measure more than 180 degrees because it would no longer be a triangle.
Without a correct diagram or clarification of the angle measures, providing a step-by-step solution to this geometric problem is not feasible. Nonetheless, if the problem was corrected and it involves solving for missing angles or sides of a scalene triangle, one could apply geometry principles and theorems such as the Triangle Sum Theorem, the Law of Sines, and the Law of Cosines depending on the given information.
Jillian has 28.75 inches of ribbon. Each inch is 2.54 centimeters
Answers
Answer:
73.025
Step-by-step explanation:
i just looked it up if this helps give me brainliest plz (it'll be my first)
Jillian has 73.025 centimeters of ribbon.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
To convert inches to centimeters, we can multiply the length in inches by 2.54, since 1 inch is equivalent to 2.54 centimeters.
So, to find the length of the ribbon in centimeters, we can multiply 28.75 inches by 2.54 centimeters/inch:
= 28.75 inches x 2.54 centimeters/inch
= 73.025 centimeters
Therefore,
Jillian has 73.025 centimeters of ribbon.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ3
Which two problems below does this model represent?
12 x 2
24 ÷ 6
6 x 4
24 x 6
Answers
Answer:
6 x 4
24 ÷ 6
Step-by-step explanation:
6 x 4 – There are 6 boxes with 4 stars in each box. When something looks like this, it mean multiplication.
24 ÷ 6 – There are 24 stars in total. Those 24 stars are being divided by 6 boxes. In the end there are 4 stars in each box. (So basically, 24 ÷ 6 = 4)
Can someone help me with this geometry problem please ?
Answers
Answer:
<2, <3, <6, <7
Step-by-step explanation:
Interior angles are just angles between two transversals(p and q).
Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat
and choose two names without looking.
What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?
Answers
Answer:
A = {KL}
Step-by-step explanation:
Since we have given that
There are three person : Joe, Keitaro, Luis.
And two names will be selected for he game .
Possible events will be
But we want to find the complement of the event in which Joe plays in hte first match,
As we know that complement of any events means eliminate that event from the universal set.
Event of getting Joe plays in the first match is given by
So, complement of this event that Joe plays in the first match is given by
The possible events are:
{JK, JL, KL}
The events where J does not play (the first game) are: {KL}
Answer: A = {KL}
The complement of the event in which Joe plays in the first match is {KL} and the subset of the sample space is {JK, JL, KL}
What is a complement of an event?Complementary events are two events that exist such that one event will occur if and only if the other does not take place.
Given that, Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.
There are three persons: Joe, Keitaro, Luis.
There are two names to be selected for the game.
Possible events will be = {JK, JL, KL}
But we want to find the complement of the event in which Joe plays in the first match,
As we know that complement of any events means to eliminate that event from the universal set.
Event of getting Joe plays in the first match is given by = {JK, JL}
So, the complement of this event that Joe plays in the first match is given by = {KL}
Hence, the complement of the event in which Joe plays in the first match is {KL} and the subset of the sample space is {JK, JL, KL}
Learn more about complement of an event, click;
https://brainly.com/question/10347093
#SPJ6
4x-6 <30
what is the answer?
Answers
Hope this will help u....:)
f(x)=x^3-9x
What is the average rate of change of f over the interval (1,6]?
Answers
Answer:
34
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 6 ]
f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162
f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8, thus
average rate of change = [tex]\frac{162-(-8)}{6-1}[/tex] = [tex]\frac{170}{5}[/tex] = 34
Final answer:
The average rate of change of the function f(x) = x^3 - 9x over the interval (1,6] is 34.
Explanation:
The average rate of change of a function f(x) over an interval is calculated by taking the difference in the function values at the end points of the interval divided by the length of the interval. For the function f(x)=x^3-9x over the interval (1,6], we calculate the function values at x=1 and x=6, then find the difference, and divide by the interval length, which is 6-1=5. So f(1)=1^3-9(1)=-8 and f(6)=6^3-9(6)=216-54=162. Therefore, the average rate of change is (162-(-8))/5 = 170/5 = 34.
Find the slope.
A 17
Answers
Answer:
C
Step-by-step explanation:
Slope = rise / run
in this case, rise is 17 yd and run is 295 yd.
so its 17/295
Solve the equation by completing the square: z^2 - 2z = 323
a. -17, 19
b. -17, -19
c. 17, -19
d. 17, 19
Answers
Answer: A. -17 , 19
Step-by-step explanation:
Move all terms to one side.
z^2-2z-323=0
z^2 −2z−323=0
Factor : z^2-2z-323
z^2−2z−323.
(z-19)(z+17)=0(z−19)(z+17)=0
Solve for z.
z=19,−17
What is the momentum of a 1.5-kg ball rolling at 3.0m/s
Answers
Answer:
4.5 kg m/s
Step-by-step explanation:
[tex]Momentum = mass \times velocity \\ \hspace{60 pt} = 1.5 \times 3.0 \\\hspace{60 pt} = 4.5 \: kg \: m/s[/tex]
Final answer:
The momentum of a 1.5-kg ball rolling at 3.0 m/s is calculated by multiplying the mass by the velocity, resulting in 4.5 kg*m/s.
Explanation:
The momentum of an object is calculated using the formula momentum (p) = mass (m) * velocity (v). Applying this formula to the given problem, where a 1.5-kg ball is rolling at a speed of 3.0 m/s, the momentum can be found by multiplying the mass of the ball by its velocity.
So, the momentum p is given by:
p = 1.5 kg * 3.0 m/s = 4.5 kg*m/s.
Therefore, the momentum of the 1.5-kg ball rolling at 3.0 m/s is 4.5 kilogram meters per second (4.5 kg*m/s).
A combination lock has 3 dials. The first 2 dials have a setting for digits 0 through 9, and the third has settings for all 26 letters of the alphabet. A combination consists of one setting from each of the dials. How many combinations are possible
Answers
Answer:
There is 2600 combinations possible.
Step-by-step explanation:
The combinations for the first lock has 10 combinations
The combinations for the second lock has 10 combinations
The combinations for the third lock has 26 combinations
The total combinations is the product of all the locks.
There is 2600 combinations possible.
Variables and expressions answers
Answers
Answer:
could you explain more?
Find the distance between the points (3,-4) and (3,6)
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I used the the distance formula.
Two candles of equal height start to burn simultaneously. One of the candles is thicker than the other one and burns out in 4 hours, while the thinner one burns out in 2 hours. Both of the candles are extinguished after some time, and the remaining height of the thicker candle is now 3 times as long as the thinner one. How many minutes were the candles burning for?
Answers
Answer:
hope this helps you to understand
a²+6²=C²
72+10º=122
Does this work?
Explain
Answers
[tex] {10}^{2} + {7}^{2} = {c}^{2} \\ \sqrt{100 + 49} = c \\ c = \sqrt{149} [/tex]
but c=12. 12^2=144
Answer: It isnt a right triangle
geometric mean between 1/4 and 80 please answer
Answers
Answer:
Geometric mean: 6.8399037867068
Step-by-step explanation:
How much is 9 1/12 - 7 1/3?
Answers
Answer:
1.75 or 1 3/4
Step-by-step explanation:
Answer:
1 3/4
Step-by-step explanation:
Find a common denominator for both fractions
9 1/12 - 7 4/12 = 1 9/12 = 1 3/4
Simplify.
5(x+2) + 2(x-5)
Α.7x-3
B. 7x
C 7x+ 20
D.0
Ε. 2x +4
Answers
Answer:
B=7x
Step-by-step explanation:
5(x+2)+2(x-5)
5x+10+2x-10
since 10-10=0, it just won't show, there's no need to say "0"
5x+2x+10-10
7x+0
so just
7x
Answer:7x
Step-by-step explanation:
5 times x 5 times 2 = 5x + 10
2 times x 2 times -5 = 2x -10
5x +2x = 7x
10- 10= 0
Which statement is true?
N is a point of tangency on circle P.
PT is a secant of circle P.
Line S R is a secant of circle P.
VU is a tangent of circle P.
Answers
Answer:
c: line sr is a secant of circle p
Step-by-step explanation:
The true statement is (c) line SR is a secant of circle P
From the diagram, we can see that line SR passes through the circle, without passing through the center (i.e. point P) of the circle
This indicates that line SR is a secant
Given that the center of the circle is point P
Hence, the true statement is (c) line SR is a secant of circle P
Read more about secants at:
https://brainly.com/question/25871159
How many pairs of vertical angles are formed by five distinct lines that have a common point of intersection?
Answers
The total number of pairs of vertical angles formed by five distinct lines that have a common point of intersection is: 10 pairs.
To find how many pairs of vertical angles are formed by five distinct lines that all intersect at a common point, we need to understand a few key concepts about vertical angles and intersecting lines.
Intersection Point: When multiple lines intersect at a single point, they form various angles at that point.Vertical Angles Definition: Vertical angles are the angles that are opposite each other when two lines intersect. They are congruent (having the same measure).Pairs of Intersections: Each pair of lines forms a set of vertical angles at the intersection point.Number of Intersecting Pairs: With five distinct lines, any two lines can form an intersection. The number of ways to choose 2 lines out of 5 to intersect can be calculated using the combination formula:
[tex]\binom{n}{2} = \frac{n(n-1)}{2}[/tex]
Where [tex]n[/tex] is 5 in this case.
Calculation: Plugging in the values, we get:
[tex]\binom{5}{2} = \frac{5 \cdot 4}{2} = 10[/tex]
So, there are 10 pairs of intersecting lines.
Vertical Angle Pairs per Intersection: For each of these 10 intersections, there is exactly one pair of vertical angles.
Each intersection of two lines forms one pair of vertical angles, and with 10 intersections, we have 10 pairs of vertical angles.
two lines meet at a point that is also the endpoint of two rays. setup and solve the appropriate equations to solve for the values of angles x and y. show the steps you followed to find the unknown angles.
Answers
Answer:
x = 19°
y = 53°
Step-by-step explanation:
First we can find the value of x, then the value of y.
For x, we can observe from the figure that x is complementary to the angle of 71°, that is, they both summed have 90°.
So, we have that:
x + 71 = 90
x = 19°
Now we can solve for y.
From the figure we have that y is supplementary to the angle (37° + 71° + x°), that is, they summed form a angle of 180°.
So we have that:
y + 37 + 71 + 19 = 180
y = 180 - 37 - 71 - 19 = 53°
The angles x and y lie on a straight line at the intersection point of two lines and are therefore supplementary. Therefore, they add up to 180 degrees. Without further information, it's impossible to find the exact values of X or Y.
Explanation:Given that two lines intersect at a common point, and this point is also the end point of two rays, we create four angles around the intersecting point. Let's denote the angles formed by the intersecting lines as angle x and angle y. According to the properties of intersecting lines, adjacent angles are supplementary. Therefore, the measures of x and y add up to 180 degrees. We set up the equation as x + y = 180. Without any additional information, we cannot find the specific values of x and y. However, we can say that whatever the value of x is, y will be 180 - x, and vice versa.
Learn more about Angle Relationships here:https://brainly.com/question/31825145
#SPJ6
A lawn had a length of 10 feet and a width
of 8 feet. What is the perimeter of the
lawn?
1.80 feet
2. 80 square feet
3. 36 square feet
4. 36 feet
Answers
10 plus 10 is 20 plus 8 plus 8 is 16
so 20+16 =36
A person walking starts 0 m/s and after 6 seconds is traveling at
5 m/s. What is the acceleration of the walker?
Answers
Final answer:
To find the acceleration, we subtract the initial velocity from the final velocity and then divide by the time. For the given values, this results in an acceleration of 0.833 m/s² for the walker.
Explanation:
The student has asked about the acceleration of a person who starts at 0 m/s and reaches 5 m/s in 6 seconds. To find acceleration, we use the formula:
acceleration = (final velocity - initial velocity) / time
Inserting the given values:
acceleration = (5 m/s - 0 m/s) / 6 s = 5/6 m/s²
Therefore, the acceleration of the walker is 0.833 m/s².