The total distance covered is 6,000 m.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object had also covered regardless of its starting as well as ending point.
The magnitude as well as size of displacement between two positions is defined as distance. It is important to note that the distance between two points isn't the same as the distance traveled among them. The total length of a path traveled among two points is referred to as the distance traveled. Travel distance isn't a vector.Now, as per the question;
The distance around track is 400 m.
14 more laps has been covered along with the initial one.
Thus the total distance will be;
Total distance = 400 + 400×14
= 400 + 5,600
Total distance = 6,000
Therefore, the total distance covered is 6,000 m.
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Type a digit that makes this statement true. 8,353,05_
The digits that make the given statement true are 3 or 7.
5,156,936 is divisible by 4.5,156,976 is divisible by 4.What are the rules of divisibility of 4?The basic rule for divisibility by 4 is that if the number formed by the last two digits of a number is divisible by 4, the original number is divisible by 4 as well; this is because 100 is divisible by 4, and so adding hundreds, thousands, and so on is simply adding another number that is divisible by 4.So, 5,156,9_6 to be divisible by 4:
If the last two digits are divisible by 4, the sum is divisible by 4.As a result, _6 must be divisible by 4.There are two options here: 3 (as in 36) or 7. (as in 76).Therefore, the digit that makes the given statement true is 3 or 7.
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The correct question is given below:
Type a digit that makes this statement true.
5,156,9_6 is divisible by 4.
4d-(5b+3) for d=-8 and for b=-3
Answer:
I believe the answer would be 384
Step-by-step explanation:
4×-8 (5× -3+3)
-32 × -12
384
BOOM!!! Your Welcome
Express the interval using inequality notation.
(-∞, -11] U l-8, ∞)
The inequality notation for the given interval is -∞ < x ≤ -11 and -8 ≤ x < ∞
Disclaimer:
Considering the given interval as (-∞, -11] ∪ [-8, ∞).
Given interval is a union of two intervals.
The first interval denotes the set of all real numbers which are less than or equal to -11.
And the second interval denotes the set of all real numbers which are greater than or equal to -8.
The inequalities can be written as below:
(-∞, -11] ⇒ x ≤ -11 (or) -∞ < x ≤ -11
[-8, ∞) ⇒ x ≥ -8 (or) -8 ≤ x < ∞
And there is a union symbol between these two intervals.
So, x should satisfy both inequalities.
x ≤ -11 and x ≥ -8
or the above can be written as
-∞ < x ≤ -11 and -8 ≤ x < ∞
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A sample of n = 100 scores has a mean of 5. a second sample has n = 25 scores and m = 7. if the two samples are combined, the sample mean for the combined sample will be __________.
A sample of n = 100 scores has a mean of 5. A second sample has n = 25 scores and m = 7. if the two samples are combined, the sample mean for the combined sample will be 5.4.
We are given the sample mean of n = 100, is 5. Therefore, the sum of 100 observations is 100 x 5 = 500
The sample mean of n = 25, is 7. Therefore, the sum of 25 observations is
25 x 7 = 175
The sum of two samples is 500 + 175 = 675.
And the sum of two sample size is 100 + 25 = 125
Now, the combined mean is:
675125=5.4
What is mean?
A dataset's mean(also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.
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An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual building is 250 feet. What is the length in inches of the building in the scale drawing?
The length of the building in the scale drawing is 31. 25 Inches
How to determine the value
From the information given, we have that;
Scale drawing was used0. 25 inches represents 2 feetThe length of the building is 250 feetThen,
If 0. 25 inches = 2 feet
Then x inches = 250 feet
cross multiply
x × 2 = 0. 25 × 2500
Multiply through, we have;
2x = 62. 5
Make 'x' the subject by dividing both sides by 2
2x/2 = 62. 5/ 2
x = 31. 25 Inches
Thus, the length of the building in the scale drawing is 31. 25 Inches
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Answer:
Step-by-step explanation:
31.25
WILL MARK BRAINLIEST HURRY PLSSSS
Answer:
2.667
Step-by-step explanation:
the thousandths place is the third place after the decimal point, going
0.123
1 is the tenths
2 is the hundredths
3 is the thousands
all you have to do is divide 4 by 15 to get 2.66666667
rounded to the thousands the answer is about 2.667
rewrite (156 + 243) using factoring
Answer:
399
Step-by-step explanation:
Factor the polynomial, and that will give you 399.
Using factor (156 + 243), can be rewritten as 3.(52+81).
What is factor?Factor is a number that devides any other number and does not leave any remainder.
The given term is,
(156 + 243)
The factor of 156 = 2×2×3×13
The factor of 243 = 3×3×3×3×3
The common factor is 3,
So (156 + 243) can be rewritten as,
3(2×2×13+3×3×3×3)= 3.(52+81).
So, the required term is 3.(52+81).
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A county has 225 acres of vacant land.
Residents voted to turn some of the vacant land
into parks. Now, there are 36% less acres of
vacant land. How many acres of vacant land
does the county have now?
The acres of vacant land that the county have now will be 144 acres.
How to calculate the value?Since 36% has been used, the remaining percentage will be:
= 1 - 36%
= 64%
Therefore, the acres of vacant land that the county has now will be:
= 64% × 225
= 64/100 × 225
= 0.64 × 225
= 144
Therefore, the acres of vacant land that the county have now will be 144 acres.
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23
Which answer choice represents 4 as a mixed number?
5-/1/2
51-1
CT
3/4
61/1
Answer:
Its C: 5 3/4
Step-by-step explanation:
1: First we figure out how many times 4 goes into 23
4 goes into 23 5 times. So our whole number will be 5
2: Now, we put our remainder on the top and keep the denominator the same
Making the fraction - 3/4
5¾
12. Which is the simplified expression of -8(2m + 9k-13)?
-16m+9k-13
A.-16m +9k - 13
B. -16m - 72k + 104
C. -16m-72k - 104
D. 16m - 72k - 104
-16m - 72k + 104 is the simplified expression .
What does a math expression mean?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)Expression can be a commonly used word or phrase or a means of expressing your ideas, emotions, or sentiments. The idiom "a penny saved is a penny earned" is a prime example. A smile is an illustration of an expression.the simplified expression of -8(2m + 9k-13)
= -8(2m + 9k-13)
= -16m - 72k + 104
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Which is the absolute value of - 26/91 in simplest form?
Answer:
(2/7)
Step-by-step explanation:
As far as I know, an absolute value number is never negative. So you would do |-26/91| which would give you the positive fraction of (2/7). I don't think the fraction could get any simpler than that.
The temperature at noon is 75 degrees. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.
Answer:51 degrees
Step-by-step explanation:
At noon the temperature is 75 degrees
the temperature drops 3 degrees every half hour.
First solve for time elapsed between noon and 4, which is 4 hours.
Next, we can change our rate to be in terms of full hours instead of half hours using the fact that 1 hr = 2 half hours, so the temperature drops 6 degrees every hour.
Four hours have elapsed so multiply 6*4 = 24 degrees and then subtract it from the starting 75
75 - 24 = 51.
5. Analyze and Persevere A recipe calls for 0.5 cup of milk. Express the number of cups of milk as a fraction.
The number of cups of milk when represented as fraction is expressed as 1/2 cup.
Given a recipe indicates 0.5 cup of milk.
A numerical value that designates a portion of a whole is used to represent fractions.A fraction is a part or portion that is taken from the total, which might be any number, a specific sum, or an item.
To convert it into fraction, we first need to remove the decimal.
5/10
when 5 is divided by 10 we get 0.5, hence we have removed the decimal and converted it into its orignal form.
Now multiply and divide by 5.
= 5 × 5/10 × 5
= 1/2
we get the fraction part as 1/2
Hence 0.5 cup of milk represent 1/2 cup of milk as a fraction.
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what is equivalent to -28x2 + 35x?
(35x) + (-56) this is an equivalent equation.
Answer:
7x(-4x+5)
Multiplying: -56+35x
Step-by-step explanation:
[tex]\mathrm{Factor\:assuming\:x\ge-\\\infty}\\\:a^{b+c}=a^ba^c\\x^2 = xx\\-28xx+35x\\-7 \times 4xx + 7 \times 5x\\=7x\left(-4x+5\right)[/tex]
The only reason I had to assume x was any negative number was so that the absolute value did not matter in this instance, therefore making x become a negative number.
The other result, however, came from this:
[tex]-28\cdot \:2=-56\\=-56+35x[/tex]
Inform me of any concerns. Hope this helps.
Solve the systems of equation 4x + y = 10 3x - 2y = 13
The solution to the system of equation is (7/5, 22/5)
System of equationGiven the system of equation as shown below;
4x + y = 10 * 2
3x - 2y = 13 * 1
_____________
8x + 2y = 20
3x - 2y = 13
Subtract
8x - 3x = 20 - 13
5x = 7
x = 7/5
Substitute the value of x into any of the equation
4x + y = 10
4(7/5) + y = 10
28/5 + y = 10
y = 10 - 28/5
y = 22/5
Hence the solution to the system of equation is (7/5, 22/5)
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Help asap I need to get this done asap and I’m struggling with it and I’d appreciate help and I’ll give you brainliest
Answer:
x = 10
Step-by-step explanation:
the angle is equally bisected from the middle so
3x - 3 = 4x - 13
13 - 3 = 4x - 3x
x = 10
<FGH = 3(10) - 3 = 27
< HGI = 4(10) - 13 = 27
<FGI = <FGH + <HGI = 27 + 27 = 54
Find the unknown angle measure
i am a 5-digit numaeral for five raised to the sixth power.what number am i?
Answer: 99,999
Step-by-step explanation:
a G.P has 6 terms .if the 3rd term and the 4th terms are 28 and -56 respectively.find the common ratio,the first term ,and the sum of the G.P
Answer:
Hello,
Step-by-step explanation:
[tex]u_2=u_1*r\\u_3=u_1*r^2\\u_4=u_1*r^3\\\\\dfrac{u_4}{u_3} =r=\dfrac{-56}{28} =\boxed{-2}\\\\u_1=\dfrac{u_3}{r^2} =\dfrac{28}{(-2)^2} =\dfrac{28}{4}=\boxed {7}\\\\\\\displaystyle\ s=\sum_{i=1}^6\ u_i\\\\=u_1*\sum_{i=1}^6\ r^{i-1}\\\\=7*\dfrac{(-2)^6-1}{-2-1} \\\\=-7*\dfrac{65}{3} \\\\\\\boxed{s=-\dfrac{455}{3} }\\[/tex]
Tres canastas tienen 575 manzanas. La primera canasta contiene 10 manzanas más que el segundo y 15 más que el tercero. ¿Cuántas manzanas hay en cada canasta? Jpancho
Step-by-step explanation:
what??? I don't understand what are you saying?????? please speak english :(
i wish you could help you but i don't know what you're saying
Esearchers followed 803 patients, of whom 398 ended up getting surgery. after two years, of those who had surgery, 63% percent said they had a major improvement in their condition, compared with 29% among those who received nonsurgical treatment. a. what is the probability that a patient had surgery and experienced a major improvement in his or her condition? b. what is the probability that a patient received nonsurgical treatment and experience a major improvement in his or her condition?
The required probability that a patient had surgery and experienced a major improvement 31% and that a patient received nonsurgical treatment 14.5%.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Number of patients who got surgery = 398,
63% of percent said they had a major improvement in their condition,
= 0.63 * 398 ≈ 250
29% among those who received nonsurgical treatment,
= 0.29 * (803 - 398)
= 0.29 * 405
≈ 117
Now,
The probability that a patient had surgery and experienced a major improvement in his or her condition.
= 250 / 803
= 31%
The probability that a patient received nonsurgical treatment and experienced an improvement in his or her condition.
= 117 / 803
= 14.5%
Thus, the required probability is 31% and 14.5%.
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Which equation correctly represents how the total mechanical energy (ME) of
a system relates to its kinetic energy (KE) and gravitational potential energy
(GPE)?
The accurately captures a system's gravitational potential energy:
ME = KE + GPE.
What is gravitational potential energy?Gravitational potential energy is the energy that an object possesses or acquires as a result of a change in its position when it is in a gravitational field. In layman's terms, gravitational potential energy is energy that is tied to gravitational force or gravity.
What is the difference between gravitational kinetic energy and potential energy?The energy held in an object due to its height above the ground is known as gravitational potential energy. It is determined by the object's mass, the gravitational acceleration caused by the Earth, and the object's height. Kinetic energy is the energy that an object possesses as a result of its motion.
According to the given data:An object's mechanical energy is equal to the sum of its kinetic energy and potential energy. If ME is mechanical energy and KE is kinetic energy, then PE is its potential energy.
ME = PE + KE
KE = (1/2) mv^2
PE = ME - KE
PE = ME - 1/2(mv²)
PE = ME - 1/2(mv²)
PE = ME - KE
ME = KE + GPE
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Answer:
B
Step-by-step explanation:
ME equals the sum of KE and GPE
FIND THE TERMS AND SUM OF TERMS:
Answer:
The terms are 2, 6 and 12
The sum is 20
Step-by-step explanation:
n n + 1 n(n+1)
-- ------- ---------
1 2 1 x 2 = 2
2 3 2 x 3 = 6
3 4 3 x 4 = 12
The terms are 2, 6 and 12
The sum is 2 + 6 + 12 = 20
5 ➗ 1/7
Draw a model that represents the division expression
We have to draw the model for 5 divide 1/7 . In order to draw the model we use below steps.
Draw 1/7 boxes to represent 1/7 groups.
Assume 5 as the number which represents the total of these 1/7 groups.
Put a question mark at the first box.
Attached is the model to represents 5 divide 1/ 7 .
5/(1/7)
5*7
35
In the question mark we should put 35.
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Two printing presses, working together, can complete a job in 2 hours. If one press
requires 6 hours to do the job alone, how many hours would the second press need to
complete the job alone?
The number of hours needed for the second press to complete the job is 3 hours.
What is an equation?An equation represents the relationship of two expressions on either side of the sign
Given that together they can complete a job in 2 hours and one takes 6 hours to complete the work alone.
If we let x = amount of time required for the second press to complete the job alone
We can write as:
Second press work = 1/x of the job per hour.
First press work = 1/6 of the job per hour.
Together work = 1/2 of the job per hour.
We can write the equation as:
1/6 + 1/x = 1/2
1/x = 1/2 - 1/6
1/x = (3 - 1)/6
1/x = 2/6
1/x = 1/3
x = 3
Thus number of hours needed for the second press to complete the job is 3 hours.
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A firm has sales of $4690, costs of $2490, interest paid of $164, and depreciation of $463. the tax rate is 30 percent. what is the cash coverage ratio?
13.41% is the cash coverage ratio.
What do we mean by cash coverage ratio?The cash coverage ratio is a calculation that assesses a company's ability to pay off its liabilities with cash that it already has. It is a method of determining a company's liquidity. Only cash and cash equivalents are included in the cash coverage ratio. It excludes things like accounts receivable and inventory.To find the cash coverage ratio:
The cash coverage ratio is calculated as follows:
But first, the EBIDTA Is:
EBIDTA = Revenue - Cost= 4,690 - 2,490= 2,200The Cash Coverage Ratio is now:
= (EBIDTA) ÷ Interest= 2,200 ÷ 164= 13.41Therefore, 13.41% is the cash coverage ratio.
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Write the equation that represents the line use exact numbers
Answer:
y= 6/5 x -5
Step-by-step explanation:
You have 2 points. (0,-5) and (5,1)
If you use the formula Y2-Y1 / X2-X1,
you will have 1 - (-5) on the numerator, which equals 6
you will have 5 - 0 in the denominator, which equals 5
6/5 is your slope, and the point on the y-intercept is what you put at the end of the equation.
does someone mind helping me with this question? Thank you!
Answer: Slope: 3
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(4-(-2))/(3-1)
m=(4+2)/2
m=6/2
m=3
28x-2=100 solve for x
Answer:
3.64
Step-by-step explanation:
collect like terms
divide both sides by x coefficient
Answer:
x=51/14
Step-by-step explanation:
28x-2=100
+2. +2
28x=98
28x/28=102/28
×=51/14
Determine whether the statement is always, sometimes, or never true if three points are collinear , then they are also coplanar
always
sometimes
never
The statement is sometimes true.
What is collinear points?Points that are located along a single or shared straight line are referred to as collinear points. If two or more points on a line are situated either close to or far from one another, they are said to be collinear in Euclidean geometry.
Three points are automatically coplanar if they are collinear.
What was just said is sometimes true.
This is because three points along a line are typically recognized to be collinear, however it is not always the case.
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