Answer:
4.550.
Step-by-step explanation:
Converting to decimal form:
9/2 = 4.5
4 1/2 = 4.5
4.505
4.550
The largest is 4.550.
Correct to 2 decimal places, the volume of a solid cube is 3.37 m³. Calculate the upper bound for the surface area of the cube.
the upper bound for the surface area of the cube. is 14 m².
Volume of cube = 3.37 m³
We know the formula is:
V = a³ (where a is the side of the cube)
a³ = 3.37 m³
Cube rooting both the sides, we get that:
a = ∛3.37 m
Surface area will be:
A = 6 a²
A = 6 (∛3.37 m)²
A =6 (2.25 m²)
A = 13.5 m²
A ≈ 14 m²
Therefore, we get that, the upper bound for the surface area of the cube. is 14 m².
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Make x the subject of the formula
m=x+y/n
HELPPP
Answer: x=m-y/n
Step-by-step explanation:
The expression with x as the subject is x = mn - y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
m = (x + y) / n
x as the subject means we have to solve for x.
Now,
m = (x + y) / n
Multiply both sides by n.
mn = x + y
Subtract y on both sides.
mn - y = x
x = mn - y
Thus,
x = mn - y.
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what is the distance between (-2.63, 7),(1.85,7)
The distance between the points is 4.48
What is the distance between the points?The coordinates of th points are given as:
(-2.63, 7) and (1.85,7)
The distance between the two points is calculated using
d = √(x2 - x1)^2 + (y2 -y1)^2
So, we have
d = √(-2.63 - 1.85)^2 + (7 - 7)^2
Evaluate
d = 4.48
Hence, the distance between the points is 4.48
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Can someone help me please?
Answer:
112
Step-by-step explanation:
Both angles are vertical angles
so x + 84 = 4x
3x = 84
x = 84/3 = 28
x + 84 = 28 + 84
bernardo randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ and arranges them in descending order to form a 3-digit number. silvia randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8\}$ and also arranges them in descending order to form a 3-digit number. what is the probability that bernardo's number is larger than silvia's number? (a) $\frac{47}{72}$ (b) $\frac{37}{56}$ (c) $\frac{2}{3}$ (d) $\frac{49}{72}$ (e) $\frac{39}{56}$
Answer:
Step-by-step explanation:
hii ,myself neha and I love animals , that's why I love my friends .
Answer:
finding if kg DJ of CM ignor
Step-by-step explanation:
Robert is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 25° per minute after being turned on. What is the temperature of the oven 10 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?
The temperature of the oven 10 minutes after being turned on will be 315°.
The temperature of the oven t minutes after being turned on will be 65 + 25t
How to compute the value?The temperature of the oven 10 minutes after being turned on will be:
= 65 + (25 × t)
where t = number of minute
= 65 + (25t)
= 65 + 25(10)
= 65 + 250
= 315°
The temperature of the oven 10 minutes after being turned on will be 315°.
The temperature of the oven t minutes after being turned on will be:
= 65 + (25 × t)
= 65 + 25t
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9x10^4 + 9x10^2 ??
add
Answer:
90900
Step-by-step explanation:
Answer:
9.09 x 10*4.
Step-by-step explanation:
9x10^4 + 9x10^2
= 90000 + 900
= 90900
= 9.09 x 10*4.
Please help fast :(
Answer:
1/2
1/4
1/4
0/16
2 times
Step-by-step explanation:
THERE ARE 16 SQUARES TOTAL
8 triangles: 8/16 = 1/2
4 stars: 4/16 = 1/4
4 empty spaces: 4/16 = 1/4
0 circles = 0/16
8*1/4 is 2, so 2 times.
A restaurant had 9 days to sell 56 gallons of ice cream before it expired. How much should they sell each day?
5 gallons
5 gallons
6 6/4 gallons
6 6/4 gallons
6 1/2 gallons
6 1/2 gallons
6 2/9 gallons
Answer:
6 2/9
Step-by-step explanation:
56 divided by 9 is 6.22 and 2/9 is .22
a line passes through the points (4, 13) and (2, 5). What is it’s equation in slope intercept form
Answer:
y = 4 x - 3
Step-by-step explanation:
Find the equation of the line in slope-intercept form with the properties:
point: p_1 = (4, 13)
point: p_2 = (2, 5)
The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):
m = (5 - 13)/(2 - 4) = (-8)/(-2) = 4
Substitute the slope m = 4 and point (x_1, y_1) = (4, 13) into the point-slope equation y - y_1 = m (x - x_1):
y - 13 = 4 (x - 4)
Add 13 to both sides:
y = 13 + 4 (x - 4)
Distribute: 4 (x - 4) = 4 x - 16:
Answer: y = 4 x - 3
one diagonal of a rhombus has endpoints (-10, 1) and (2, 9). what are the endpoints of the other diagonal?
The endpoints of the other diagonal are (-2, 2) and (-6, 8).
Distance formula, Algebraic expression that gives the distances between pairs of points in terms of their coordinates (see coordinate system). In two- and three-dimensional Euclidean space, the distance formulas for points in rectangular coordinates are based on the Pythagorean theorem.
Given we have a rhombus with endpoints (-10, 1) and (2, 9)
So as we already know, a rhombus is a parallelogram whose sides are equal, so the distance from say (-10, 1) to either endpoint of the other diagonal must be the same.
Distance between 2 points [tex]$\mathrm{d}=\sqrt{[-2-(-10)]^2+[2-1]^2} \Longrightarrow d=\sqrt{(-2+10)^2+(2-1)^2}$$\mathbf{d}=\sqrt{\mathbf{6 4 + 1}} \Longrightarrow d=\sqrt{65}$[/tex]
While solving with other coordinate we get [tex]$\mathbf{d}=\sqrt{(-6+10)^2+(8-1)^2}[/tex]
[tex]$\mathrm{d}=\sqrt{16+49}\\\Longrightarrow d=\sqrt{65}$[/tex]
So therefore the endpoints of the other diagonal are (-2, 2) and (-6, 8) .
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Find the value of j. Show all steps to the solution and give reason to your calculations
Answer:
j=50°
Step-by-step explanation:
10x-20=5x-3+4x-2( ext angle of ∆)
10x-5x-4x=-3-2+20
x= 15
substitute the value if x
10(15)-20+ j=180 ( sum of angles in straight line)
130+j=180
j=180-130
j=50°
In a recent year, 17.3% of all registered doctors were female. If there were 41,000 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number. PLEASE HELP DUE IN 30 MINUTES!!!
The total number of registered doctors are estimated as 236,995.
What is meant by percentage?A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; thus, 100 percent signifies the entire amount and 200 percent specifies twice this same given amount.
The concept of cumulative percentage (percentile) is widely used in statistics. For example, a student who achieves the 83rd percentile on an investigation has outperformed 83 percent of the students with and who a comparison is made. The likelihood of an event occurring can be expressed as a percentage. (or fraction).Now, as per the given question;
It says, from all the registered doctors 17.3% is female doctors.
Now, let use assume that the total number of registered doctors be 'x'.
Then, 17.3% of this x will give 41,000 female doctors.
So, the equation will form as;
17.3% of x = 41,000
Or, (17.3×x)/100 = 41,000
x = (41,000×100)/17.3
x = 236,994.21
x = 236995 (nearest whole number)
Therefore, the total number of the registered doctors are estimated as 236995.
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find the percentage if the denominators are not the factors of 100
Answer:
external factors that impact negatively on lifestyle choices namely.unsafe road use
Subtracting 5 from a number and then squaring the result gives the result 16. how to solve . please help
[tex](x-5)^2=16\\x-5=4 \vee x-5=-4\\x=9 \vee x=1[/tex]
Solve two thirds times v plus 6 equals one third times v minus 2.
v equals negative eight thirds
v equals eight thirds
v = −24
v = 24
The value of v using the equation ( 2v/3 ) + 6 = ( v/3 ) - 2 is v = - 24.
Two-thirds of anything is an amount that is two out of three equal parts of it. Similarly, one-third of something is an amount that is one out of three equal parts of it.
Now, we have
Two-thirds times v plus 6 equals one-third times v minus 2.
Hence, when the above statement is expressed as an equation we get:
Two third of v + 6 = one third of v - 2
2/3 × v + 6 = 1/3 × v - 2
( 2v/3 ) + 6 = ( v/3 ) - 2
Adding 2 on both sides of the equation,
( 2v/3 ) + 6 + 2 = ( v/3 ) - 2 + 2
( 2v/3 ) + 8 = ( v/3 )
Subtracting 2v/3 from both sides of the equation,
2v/3 + 8 - 2v/3 = v/3 - 2v/3
8 = ( v - 2v )/3
- v/3 = 8/1
By cross multiplication,
- v × 1 = 8 × 3
- v = 24
Multiplying each side by - 1,
v = - 24
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diamond problem for -2 and -5
Step-by-step explanation:
if I understand you correctly, then let's call the missing numbers l, r (for left and right).
and
-2 = l × r
-5 = l + r
l = -r - 5
therefore,
-2 = (-r - 5) × r = -r² - 5r
that gives us the quadratic equation
-r² - 5r + 2 = 0
for the general solutions
x = (-b ± sqrt(b² - 4ac))/(2a)
we have here
a = -1
b = -5
c = 2
and x = r, of course
r = (5 ± sqrt(25 - 4×-1×2))/(2×-1) =
= (5 ± sqrt(25 + 8))/-2 = (5 ± sqrt(33))/-2
r1 = (5 + sqrt(33))/-2 = -5.372281323...
r2 = (5 - sqrt(33))/-2 = 0.372281323...
as l = -r - 5, we see that r1 = l2, and r2 = l1.
but these are the only solutions.
there are no integer number solutions.
help please
0.1 - 4.37
Answer:
-4.27
Hope this helps.
Step-by-step explanation:
Because the negative number ( - 4.37 ) is bigger than 0.1, the answer is going to end up negative. You can swap sides on the equation to become - 4.37 + 0.1, in which case is 4.36 - 0.1 but you have to remember to add the negative sign afterward.
Consider the arithmetic sequence (87, 83, 79,75...)
A. Find common difference, d
B. Find explicit formula
Answer:
see explanation
Step-by-step explanation:
A
the common difference d of the arithmetic sequence is
d = a₂ - a₁ = 79 - 83 = - 4
B
the explicit formula of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 83 and d = - 4 , then
[tex]a_{n}[/tex] = 83 - 4(n - 1) = 83 - 4n + 4 = 87 - 4n
15. Write an equation and solve the equation to find the value of x so that the triangles have the same perimeter.
Triangle 1: 5,x-4,x-5
Triangle 2: 10,16,x-10
The equation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 20
The perimeter of a triangle is calculated by the summation of all the sides of a triangle
It is given that both the triangles have the same perimeter, so summation of all the sides of one triangle is equal to summation of all the sides of another triangle
Therefore the equation can be 5 + x - 4 + x - 5 = 10 + 16 + x - 10
Further solving the equation to calculate the unknown variable x
5 + x - 4 + x - 5 = 10 + 16 + x - 10
2x - 4 = x + 16
2x - x = 16 + 4
x = 20
The ēquation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 2
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A waiter earned $69.81 on a shift, and then bought himself a discounted meal for
$4.75. How much did he have left over, to the nearest dollar?
He had about $
Answer:$65
Step-by-step explanation:69.81-4.75=65.06
65.06->65
there are 300 pages in a workbook. every chapter has 25 pages. which equation can be solved to find how many chapters are in the workbook?
Number of chapters in the workbook = 12
What is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear.Total number of pages = 300
1 Chapter = 25 Pages
Divide 300 by 25 to figure out the total number of chapters in the workbook.
Number of chapters in the workbook = 300/25 = 12
Therefore, Number of chapters in the workbook = 12
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The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.961.96 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
61.96 inches.
Step-by-step explanation:
Does 44,555 and 45,555 round to 50,000?
45,555 does, but the other one doesn't.
9. If AB= 25, AN= 2x-6, and NB = x + 7, find x, AN and NB.
2+
N
The value of x is equal to 8 and the values of AN and NB are 10 and 15 respectively.
The three points A, N and B are collinear, and N is between A and B. Collinear points are defined as set of those points which lie on the same line when plotted.
If A, N and B are collinear then,
AB = AN + NB
According to question, AB = 25, AN = 2x-6 and NB = x+7 thus,
25 = 2x-6 + x+7
25 = 3x + 1
24 = 3x
=> x = 24/3
=> x = 8
Now, AN = 2x-6 = 16-6 = 10
NB = x+7 = 8+7 = 15
Thus, the values of x, AN and NB are 8, 10 and 15 respectively.
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Write an equation in slope intercept form for the line that is parallel to y= 2/5x-2 and passes through the point (-20,-7). Show your work (PLEASE ANSWER ASAP)
Answer:
y = 2/5x + 1
Step-by-step explanation:
If two lines are parallel, their slopes are equal
so the slope would be 2/5
if y = -7, x = -20, m = 2/5
slope-intercept form:
y = mx + b
-7 = 2/5(-20) + b
-7 = -8 + b
b = 1
then y = 2/5x + 1
0.5(7d+4)=7−1.5d ..............................
Answer:
d=1
Step-by-step explanation:
First let's simplify the first equation, 0.5(7d+4) by applying the distributive property
0.5(7d+4)
(0.5 x 7d) + (0.5 x 4)
3.5d+2
Now let's move all terms containing d to the left side of the equation
So add 1.5d to the left
3.5d+2 = 7-1.5d
3.5d+2+1.5d=7
5d+2=7
Move all terms not containing d to the right side of the equation
5d+2=7
5d=7 -2
5d=5
Finally, divide each term by 5 to simplify
5d/5 = 5/5
d=1
this should be EASY! just got a load of easy homework big its A LOT someone help
Answer: 1053.7225
Step-by-step explanation:
suppose you have an argument that has three premises, all of which are true, and a true conclusion. if so, then the argument must be
The conclusion might be accurate or inaccurate.
The conclusion could be true or false if an argument has some true premises and some false premises and is valid. You only know that the premises cannot both be true and the conclusion must be false because the argument is sound. But the incorrect premises already rule out the possibility of possessing this set of truth values (that is, you cannot have all true premises). As a result, the argument's validity is unaffected whether the conclusion is true or untrue. As a result, the conclusion of an argument that contains only false premises may or may not be true.
Can an argument have all true premises and a false conclusion?TRUE. A valid argument cannot, by definition, have a false conclusion and all true premises.
Therefore, a valid argument must have an erroneous premise if it has a false conclusion.
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#11 i Solve -14>w+3 or 3w > -27 Solution: or
The values of the inequalities will be:
1. -14>w+3 = w < -17
2. 3w > -27 = w > -9
How to explain the inequality?It should be noted that an inequality simply means the expression that illustrates that the variables aren't equal. This can be used by uinng less than, greater than, etc.
The inequalities will be:
-14>w+3
Collect like terms
-14 - 3 > w
-17 > w
w < -17
3w > -27
Divide both side by 3
3w/ 3 > -27/3
w > -9
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