Answer:
[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]
Step-by-step explanation:
[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]
A closed rectangular box has volume 38 cm ^3. What are the lengths of the edges giving the minimum surface area
Answer:
3.361 3.361 3.361 cm
Step-by-step explanation:
Minimum surface are will be a cube
LWH = 38
L = cubrt (38) = 3.361 side length cm
Evaluate the following for the given values. 7xy - y + x - 1 for x = -2 and y = -1
The value of the expression 7xy-y+x-1, when x = -2 and y = -1 is 12.
What is evaluation?
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
To evaluate the given mathematical expression, we substitute the values of the unknown into the expression.
Expression = 7xy-y+x-1If, x = -2, y = -1Substitute these values into the expression
Therefore,
7(-2)(-1)-(-1)+(-2)-1Applying BODMAS,
14+1-2-112.Hence, the evaluation of 7xy-y+x-1 is 12
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Find the equation (in terms of x ) of the line through the points ( − 2 , 4 ) and ( 5 , 2 )
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-2)}}} \implies \cfrac{-2}{5 +2} \implies \cfrac{ -2 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{(-2)}) \implies y-4=-\cfrac{2}{7}(x+2) \\\\\\ y-4=-\cfrac{2}{7}x-\cfrac{4}{7}\implies y=-\cfrac{2}{7}x-\cfrac{4}{7}+4\implies y=-\cfrac{2}{7}x+\cfrac{26}{7}[/tex]
gal created a painting with an area of 56 square inches and a length if 7 inches. they create a second painting with an area of 40square inches. it has the same width as the first painting. What is the kength of the second painting?
Answer:
5 inches
Step-by-step explanation:
the length of painting is 56/7 = 8in. to find the length of the 2nd painting divide the area by the width: 40/8 = 5
please help asap 100 points
Answers:
Problem #1: Option C, 166 yards cubed
Problem #2: Option A, 10
Step-by-step solution:
The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.
Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.
Divide the diameter by two to get the radius
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Radius = \frac{5.2\ yd}{2}[/tex][tex]Radius = 2.6\ yd[/tex]Plug in the values
[tex]V_{cylinder} = (\pi * radius^2)*height[/tex][tex]V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd[/tex]Simplify the exponent
[tex]V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd[/tex][tex]V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd[/tex]Simplify the expression
[tex]V_{cylinder} = (21.237\ yd^2)*7.8\ yd[/tex][tex]V_{cylinder} = 165.65\ yd^3[/tex]Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.
Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.
Make an expression to represent the scenario
[tex]32(x + 32) = 28(20 + 28)[/tex]We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.
Distribute both sides
[tex]32(x + 32) = 28(20 + 28)[/tex][tex](32 * x) + (32 * 32) = (28 * 20) + (28 * 28)[/tex][tex]32x + 1024 = 560 + 784[/tex]Simplify the expression
[tex]32x + 1024 = 1344[/tex]We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.
Subtract 1024 from both sides
[tex]32x + 1024 - 1024 = 1344 - 1024[/tex][tex]32x = 1344 - 1024[/tex][tex]32x = 320[/tex]The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.
Divide both sides by 32
[tex]\frac{32x}{32} = \frac{320}{32}[/tex][tex]x = \frac{320}{32}[/tex][tex]x = 10[/tex]After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.
Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?
The dimensions of the original photo is: X = 11
Meaning of dimension.A dimension can be defined as the parameters, measurement, scale or size of an object or figure.
A dimension is so important as is gives us a visual representation of an object.
Analysis(x-3[tex])^{2}[/tex] = 64
(x-3) = [tex]\sqrt{64}[/tex]
x = 8 + 3
x = 11
In conclusion, The dimensions of the original photo is: X = 11
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What is the exact value of e?
Step-by-step explanation:
2.718281828459045…
Euler's Number 'e' is a numerical constant used in mathematical calculations. The value of e is 2.718281828459045…so on. Just like pi(π), e is also an irrational number.
Which number is an integer?
O
0 0
O
34
2.3
Answer:
I think 34.
Step-by-step explanation:
It's because, 34 can be a positive integer. Decimals can also be integers, but, this one looks a better option. While, the
O
0 0
O
don't seem to be integers.
¹T¹h¹a¹n¹k¹s¹
Select ALL the correct answers. Consider the following graph of function f. Which transformations will change function f into function g given below. a vertical shift down 3 units a vertical shift down 5 units a vertical shift up 5 units a horizontal shift left 7 units a horizontal shift right 7 units a horizontal shift left 4 units
A group of people were surveyed, and the data about their age and hemoglobin levels was recorded in a two-way table. Based on the data in the
table, match each probability with its correct value.
Age
Hemoglobin Level
Less than 25 Years 25-35 Years Above 35 Years Total
Less than 9
21
32
76
129
Between 9 and 11
49
52
46
147
Above 11
69
44
40
153
Total
139
128
162 429
the probability that a person older
than 35 years has a hemoglobin
level less than 9
the probability that a person
younger than 25 years has a
hemoglobin level above 11
the probability that a person in the
25-35 age group has a hemoglobin
level less than 9
the probability that a person older
than 35 years has a hemoglobin
level between 9 and 11
0.25
0.47
0.28
0.50
The probability that a person older than 35 years has a hemoglobin level less than 9 is 0.47.
The probability that a person younger than 25 years has a hemoglobin level above 11 is 0 .50
the probability that a person in the 25-35 age group has a hemoglobin
level less than 9 is 0.25.
The probability that a person older than 35 years has a hemoglobin level between 9 and 11 is 0.28.
What are the probabilities?The probability that a person older than 35 years has a hemoglobin level less than 9 = number of people order than 35 that have a hemoglobin level less than 9 / total number of people over 35
= 76 / 167 = 0.47
The probability that a person younger than 25 years has a haemoglobin level above 11 = people over 25 that have a haemoglobin level above 11 / total number of people above 25
69/139 = 0 .50
The probability that a person in the 25-35 age group has a hemoglobin
level less than 9 = people between 25 - 35 that have a haemoglobin level less than 9 / total number of people between 25 - 35
= 32/128 = 0.25
The probability that a person older than 35 years has a hemoglobin level between 9 and 11= number of people order than 35 that have a hemoglobin level 9 - 11 / total number of people over 35
46 / 162 = 0.28
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Lila invested 10000 in one of long life insurance company annuity contracts. When issued, the contract was paying a 5 percent rate of return
The kind of annuity does Lila own is: variable immediate annuity.
What is variable immediate annuity?Variable immediate annuity can be defined as the type of annuity that vary or fluctuate based on the type of investment you choose or pick.
In this type of annuity the payment you will receive will not be fixed reason being that payments that will made to you will always increase or decrease.
Therefore the kind of annuity does Lila own is: variable immediate annuity.
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Evaluate log 8 base 5
The answer is 1.29029.
Given : [tex]log_{5}8[/tex]To evaluate the given equation.Solution:[tex]log_{5}8=log(8)/log(5)[/tex]
As we know, [tex]log8=0.9030899[/tex] and [tex]log(5)=0.69897000[/tex]
So equating is the above equation, we get;
[tex]log_{5}8=0.9030899/0.6989700[/tex]
[tex]log_{5}8=1.292029[/tex]
Hence, The answer of [tex]log_{5}8[/tex] is [tex]1.29029[/tex].
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Leonardo, who is married but files separately, earns $80,000 of taxable income. He also has $15,000 in city of Tulsa bonds. His wife, Theresa, earns $50,000 of taxable income.
If Leonardo and his wife file married filing jointly in 2021, what would be their average tax rate?
When Leonardo and his wife file married filing jointly in 2021, the average tax rate will be 15.63 percent
What is the tax rate about?In the question above, Leonardo's taxable income = $80,000
Theresa's taxable income = $15,000
Total taxable income for both of them will be:
$ 80,000 + $ 50,000 = $ 130,000
When you make use of the Schedule Y-1,
The amount of the tax on total income shall be said as:
Tax liability = $9,086 + (($130,000 - $78,950) * 22%)
= $9,086 +($51,050 * 22%)
= $9,086 + $11,231
= $ 20,317
To get the Effective tax rate, it will be:
= tax liability / Total taxable income Effective tax rate
= [tex]\frac{20,317}{30000}[/tex] that is also written as $20,317/ $130,000
So, the average tax rate is = 15.63%
Therefore, the average tax rate will be = 15.63 percent
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Brainliest and 50 points > Find the lateral surface area if the net of the cube below
LSA
4a²4(1.8)²4(3.24)12+0.9612.96cm²With a detailed explanation from the internet
1/(x-5)+3/(x+2)=4
Answer:
[tex]\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}[/tex]
Explanation:
[tex]\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4[/tex]
make the denominators same
[tex]\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4[/tex]
join the fractions together
[tex]\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4[/tex]
cross multiply
[tex]\rightarrow \sf x+2+3x-15=4(x-5)(x+2)[/tex]
simplify
[tex]\rightarrow \sf 4x-13=4x^2-12x-40[/tex]
group the variables
[tex]\rightarrow \sf 4x^2-16x-27 = 0[/tex]
use quadratic formula
[tex]\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}[/tex]
simplify the following
[tex]\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}[/tex]
Answer:
[tex]x=\dfrac{4 \pm \sqrt{43}}{2}[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{1}{(x-5)}+\dfrac{3}{(x+2)}=4[/tex]
Make the denominators of the algebraic fractions the same, then combine them into one fraction:
[tex]\begin{aligned}\implies \dfrac{1}{(x-5)} \cdot \dfrac{(x+2)}{(x+2)}+\dfrac{3}{(x+2)}\cdot \dfrac{(x-5)}{(x-5)} & =4\\\\\implies \dfrac{x+2}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x-5)(x+2)} & = 4\\\\ \implies \dfrac{x+2+3(x-5)}{(x-5)(x+2)} & = 4\\\\ \implies \dfrac{4x-13}{(x-5)(x+2)} & = 4 \end{aligned}[/tex]
Multiply both sides of the equation by [tex](x-5)(x+2)[/tex]:
[tex]\begin{aligned}\implies \dfrac{(4x-13)}{(x-5)(x+2)}\cdot (x-5)(x+2) & = 4(x-5)(x+2)\\\\\dfrac{(4x-13)(x-5)(x+2)}{(x-5)(x+2)} & = 4(x-5)(x+2)\\\\4x-13 & = 4(x-5)(x+2)\\\\4x-13 & =4x^2-12x-40\\\\4x^2-16x-27 & = 0\end{aligned}[/tex]
Solve using the Quadratic Formula:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\implies a=4\\\implies b=-16\\\implies c=-27[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-16) \pm \sqrt{(-16)^2-4(4)(-27)} }{2(4)}[/tex]
[tex]\implies x=\dfrac{16 \pm \sqrt{688}}{8}[/tex]
[tex]\implies x=\dfrac{16 \pm 4 \sqrt{43}}{8}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{43}}{2}[/tex]
Which expression is equal to
5(2x²-1) + 3(7x² + 1)?
11x² + 2
11x-2
31x² + 2
31x²-2
Answer:
d
Step-by-step explanation:
Please help! This is a math question and due soon I don’t understand the charting part please help , thank you
Answer:
it's 0 I think ok hope this helped stay safe
HELPPP HELP MEH plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The base of the prism has__ sides.
The minimum number of sides that the polygon at the base of the prism must has 4 sides.
What is a Polygon?This refers to the plane figure in geometry that has three or more sides and angles in a finite straight line.
As we know the minimum number of sides a polygon does the base of the polygon have 4 side.
Now, as the plane intersect a prism parallel to base of the prism so the polygon of 5 sides will form then at least the base of the polygon will have 4 sides.
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Find the surface area of the cube shown below. units 2 2 squared
The surface area of the cube with a side length of 2 units is 24 units squared
How to determine the surface area?The side length of the cube is given as:
l = 2
The surface area is calculated as:
Surface area = 6l^2
This gives
Surface area = 6 *2^2
Evaluate
Surface area = 24
Hence, the surface area of the cube is 24 unit squared
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please help with this math question.
The coordinate grid of the ordered pair is gotten from the combination of the y and X axis of the graph.
Finding of the ordered pairUsing the coordinates, an ordered pair for the given point is:
G = (4,3) because the 4 corresponds to the point in y axis and 3 on the X axis. H= (10,8) because the 10 corresponds to the point in y axis and 8 on the X axis. J= (6,4) because the 6 corresponds to the point in y axis and 4 on the X axis. K= ( 2,1) because the 2 corresponds to the point in y axis and 1 on the X axis.Learn more about coordinate grid here:
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Triangel ABC has vertices A(-2,1) B(2,2), and C(2,y). The area of the triangle is 4 square units.
Y=
Answer:
i wish i knew
Step-by-step explanation:
Wiring used for a specific circuit needs a diameter of 17.64 mm.
a. What is the precision of this measurement?
b. What is the uncertainty?
c. What is the tolerance?
d. State the acceptable diameter in the format, nominal value uncertainty.
(a) The precision of this measurement is 17.64 mm ± 0.01 mm.
(b) he uncertainty of the measurement is 0.057%.
(c) The tolerance of the measurement is 0.02 mm.
(d) The acceptable diameter in the format, nominal value uncertainty is 17.64 mm ± 0.057%.
Measurement of a wireA micrometer screw gauge is used in the measurement of a wire. The measuring accuracy of a micrometer screw gauge is 0.01 mm.
The precision of the measurement is 17.64 ± 0.01 mm.
Uncertainty of the measurementThe uncertainty of the measurement is calculated as follows;
uncertainty = (error/actual measurement) x 100%
uncertainty = (0.01/17.64) x 100% = 0.057%
Tolerance of the measurementTolerance = maximum measurement - minimum measurement
= (17.64 + 0.01)mm - (17.64 - 0.01)mm
= 0.02 mm
Acceptable diameter0.057% of 17.64 mm = 0.01 mm
Range of uncertainty = (17.64 mm - 0.01 mm) to (17,64 mm + 0.01 mm)
= 17.63 mm to 17.65 mm
Acceptable diameter format, = 17.64 mm ± 0.057%
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An airplane flew 2,304 miles in 6 hours.
How many miles did it fly per hour?
A. 416 miles per hour
B. 384 miles per hour
C. 379 miles per hour
D. 367 miles per hour
Mike leaves the house traveling 2 miles per hour. Kim leaves 6 hours later to catch up traveling 8 miles per hour. It will take Kim Blank 1 hours to catch Mike.
any answers ?
Answer:
2 hours
Step-by-step explanation:
Mike has a six hour head start so he is 6 x 2 = 12 miles ahead
their 'closing speed' is 8-2 = 6 m/hr
it will take Kim 12 / 6 = two hours to catch Mike
Maria’s suitcase has a mass of 14 kilograms. Her sister’s suitcase
has a mass of 1,600 grams. Which suitcase has a greater mass?
Explain.
prefix kilo means 1000
so 1 kilogram = 1000 grams
14 kilograms = 14000 grams
14000 g > 1600 g
Maria's suitcase has a greater mass because 14,000 grams is greater than 1,600 grams.
I need help please , I don’t really know much about pre calculus
Answer:
The angle Sita here is called Amplitude
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Martha recorded the eye colors of the people who have already signed up for a lecture on genetics.
gray 1
brown 10
hazel 1
green 1
blue 7
Considering this data, how many of the next 16 people to sign up should you expect to be brown-eyed?
Answer:
8
Step-by-step explanation:
since martha counted 10/20 had brown eyes thats about 50 percent, simple ratios 10/20= ×/16 you get 8martha conto 10 de 20 personas con ojos cafes, eso quiere decir que 50 por ciento de los contados tenien ojos cafès, 50 porciento de 16 es 8
worth lots of points thank you :)
please help and write explanation :)
Answer: The original price of the fridge is $585
Explanation:
Given she discounts all prices of the fridges by 20%
This 20% is the reduced price of the original cost.
Solve for per unit:
20% ⇒ $117
1% ⇒ $(117/20) = $5.85
Recall, the original price is always of 100%
100% ⇒ $5.85 × 100 = $585
Answer:
$585
Step-by-step explanation:
If there is a discount of 20% and the price is reduced by $117, then that means :
20% of Original Price (T) = $1170.2T = 117T = 117/0.2T = 117 x 5T = $585
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75°?
Answer:
105
Step-by-step explanation:
Consecutive interior angles need to add up to 180 degrees.
Therefore, 180 - 75 = 105
Answer:
105°
Consecutive interior angles are always supplementary, they add upto 180°
.
.
Angle A = 75°
Angle B = 180 - 75 = 105°
Step-by-step explanation:
I hope it helps u dear ^_^
Miguel Rodriguez borrowed $300 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.9%
The amount of the interest with simple interest of 6.9% will be $ 10.35.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
Miguel Rodriguez borrowed $300 from his brother Julio to pay for books and tuition.
He agreed to pay Julio in 6 months with simple annual interest at 6.9%
Then the amount of the interest will be
Amount = P x R x T / 100
We have
P = $ 300
R = 6.9%
T = 6 months = 0.5 years
Then we have
P = (300 x 6.9 x 0.5) / 100
P = $ 10.35
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