Step-by-step explanation:
Notice that 1km = 1000m = 100000cm.
Therefore 21.7km = 2170000cm.
Answer:
2170000 cm
Step-by-step explanation:
21.7 k/m × 10³ × 10²
Es para hoy hasta las 8:30 Cuantos vasos, con capacidad de 200 mililitros, se necesitan para trasvasar 20 litros de leche que están en un tonel de 200 litros a un porrón de 25 litros de capacidad
Answer:
100 vasos
Step-by-step explanation:
Sabemos que usando la conversión de unidades SI
1 litro = 1000 mililitros
En la pregunta se nos dice que:
Necesitamos trasvasar 20 litros de leche utilizando vasos de 200 mililitros de capacidad.
Por lo tanto,
1 litro = 1000 mililitros
20 litros =
20 litros × 1000 mililitros / 1 litros
= 20.000 mililitros de leche que hay que transferir.
Dado que estamos usando vasos con capacidad de 200 mililitros, la cantidad de vasos necesarios
= 20.000 mililitros de leche / 200 mililitros
= 100 vasos
Por tanto, se necesitan 100 vasos de 200 mililitros de capacidad para trasvasar 20 litros de leche que se encuentran en un barril de 200 litros a una jarra de 25 litros de capacidad.
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Please evaluate the Derivative using the Limit Process. Show all workings.
Answer:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Step-by-step explanation:
We have the function:
[tex]\displaystyle f(x)=\frac{4}{\sqrt x}[/tex]
And we want to find the derivative using the limit process.
Recall that the definition of a derivative is:
[tex]\displaystyle \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Therefore, by substitution:
[tex]\displaystyle \lim_{h \to 0}\frac{\dfrac{4}{\sqrt{x+h}}-\dfrac{4}{\sqrt x}}{h}[/tex]
First and foremost, we can move the constant factor outside of the limit:
[tex]\displaystyle =\lim_{h \to 0}\frac{4\left(\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}\right)}{h}\\ \\=4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}[/tex]
Next, we can multiply everything by (√(x + h)(√x) to eliminate the fractions in the denominator. Therefore:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\dfrac{1}{\sqrt{x+h}}-\dfrac{1}{\sqrt x}}{h}\left(\frac{\sqrt{x+h}\sqrt x}{\sqrt{x+h}\sqrt x}\right)[/tex]
Distribute:
[tex]\displaystyle =4\lim_{h \to 0}\frac{\left({\sqrt{x+h}\sqrt x}\right)\dfrac{1}{\sqrt{x+h}}-(\sqrt{x+h}\sqrt x)\dfrac{1}{\sqrt x}}{h({\sqrt{x+h}\sqrt x})}[/tex]
Distribute and simplify:
[tex]\displaystyle =4 \lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }[/tex]
Next, we can multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x + h)). Thus:
[tex]\displaystyle = 4\lim_{h\to 0}\frac{\sqrt x-\sqrt{x+h}}{h(\sqrt{x+h}\sqrt{x}) }\left(\frac{\sqrt x +\sqrt{x+h}}{\sqrt x +\sqrt{x+h}\right)}[/tex]
Simplify:
[tex]\displaystyle =4 \lim_{h \to 0} \frac{x-(x+h)}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}\\ \\ \\ =4 \lim_{h \to 0} \frac{x-x-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})} \\ \\ \\=4 \lim_{h \to 0} \frac{-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Cancel like terms:
[tex]\displaystyle =4 \lim_{h \to 0} -\frac{1}{(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}[/tex]
Now, we can use direct substitution. Hence:
[tex]\displaystyle \Rightarrow4 \left( -\frac{1}{(\sqrt{x+0}\sqrt x)(\sqrt x+\sqrt{x+0})}\right)[/tex]
Simplify:
[tex]\displaystyle =4\left( -\frac{1}{(\sqrt{x}\sqrt x)(\sqrt x+\sqrt{x})}\right) \\ \\ \\ =4\left( -\frac{1}{(x)(2\sqrt{x})}\right)[/tex]
Multiply:
[tex]\displaystyle =- \frac{4}{2x\sqrt{x}}[/tex]
Reduce and rewrite:
[tex]\displaystyle =-\frac{2}{x(x^{{}^{1}\! / \! {}_{2} \!})}[/tex]
Simplify:
[tex]\displaystyle =-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
Therefore:
[tex]\displaystyle f'(x)=-\frac{2}{x^{{}^{3}\!/\!{}_{2}}}[/tex]
(3x-2)(2x+4) using the box method of multiplication
Answer:
6x²-8x-8
Step-by-step explanation:
[tex](3x - 2)(2x + 4)[/tex]
[tex]3x \times 2x = 6 {x}^{2} \\ 3x \times 4 = 12x \\ - 2 \times 2x = - 4x \\ - 2 \times 4 = - 8[/tex]
[tex]6 {x}^{2} + 12x - 4x - 8 \\ 6 {x}^{2} + 8x - 8[/tex]
Answer:
(3x-2)(2x+4)
= 6x^2+8x-8
Step-by-step explanation:
Given f(x),=19x+10find f(4).
A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).
Find the area of each of the four small rectangles in the figure. Then find the sum of these areas.
The area of each of the small rectangles is __?
Answer:
The area of four small rectangles are ac, bc, ad and bd.
Dori bought a sandwich for $6.75, a bag of dried fruit for $1.45 and a bottle of water for $1.75. She paid the cashier with a $20 bill. How much change did she receive?
Answer:
She would receive $10.05 cents back
Step-by-step explanation:
Add 6.75, 1.45, and 1.75. You would get 9.95. Then, you would subtract $20.00 by $9.95, getting 10.05 as change.
Hope this helps!
Convert 45 miles per hour to miles per minute
Answer:
0.75 miles is miles per minute
HELP ME PLZ !!! The first one who answers gets brainliest
como se daca el area de un triangulo
The area is the measure of a space delimited by a contour that is called perimeter. In some cases, the term surface or area is often used interchangeably, but the former refers to space, while the latter refers to its measurement. That is, area is the measurement of a surface.
To calculate the area of a triangle:Obtaining the measurements of its sides,
The sides are:
BaseHeightEach of these sides measures a certain amount, for that, which is multiplied.
To calculate the area: multiply the given value of the base by the value of the height, and divide by 2.
For this, the following formula is applied:Area = B * h / 2See more at:https://brainly.com/question/24514946A manager of a grocery store collects data on each shopper who uses the self-checkout lanes on a Saturday morning. Which of the following is an example of a discrete quantitative variable that might be recorded in this setting?
the gender of each shopper
the shopper’s use of coupons
the number of items for each shopper
the time each shopper spends completing the transaction
Answer:
The correct option is;
The number of items for each shopper
Step-by-step explanation:
Quantitative data are data that are the result of a measurement and are therefore the numerical value assigned as an attribute of an item based on measurement. Examples of quantitative data are, the weights or heights of items, the count of an item and other similar measurable data
Discrete data are data to which are assigned specific unique numerical values
Data that is obtained by counting of a number of items are quantitative discrete data
Therefore, of the options, the one that is a discrete quantitative variable is the number of items for each shopper as it is countable which makes it quantitative and it carries a unique number, which makes it countable.
Answer:
The number of items for each shopper
Step-by-step explanation:
give the other guy brainliest
3. ¿Cuál es el valor de x
x3=100
Answer:
do you know the answers???
how you expect me to do this
1.4.27
Use the number line below, where RS = 5y +3, ST = 4y + 7, and RT = 64.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y=(Type an integer or a decimal.)
Answer:
(a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.
Step-by-step explanation:
Given that,
RS = 5y+3
ST=4y+7
RT=64
(a). We need to calculate the value of y
Using given data
[tex]RS+ST=RT[/tex]
Put the value into the formula
[tex]5y+3+4y+7=64[/tex]
[tex]9y=64-10[/tex]
[tex]y=\dfrac{54}{9}[/tex]
[tex]y=6[/tex]
(b). We need to calculate the value of RS
Using equation of RS
[tex]RS=5y+3[/tex]
Put the value of y
[tex]RS=5\times6+3[/tex]
[tex]RS=33[/tex]
We need to calculate the value of ST
Using equation of ST
[tex]ST=4y+7[/tex]
Put the value of y
[tex]ST=4\times6+7[/tex]
[tex]RS=31[/tex]
Hence, (a). The value of y is 6.
(b). The value of RS and ST are 33 and 31.
67 hundreds into standard form
There's a difference between "hundredths" and "hundreds". I'm going to assume you mean 6,700.
Answer:
6.7*10^3
Step-by-step explanation:
Write out the number.
6700
Bring the decimal to the left. However many times you move over to the left until you get between 6 & 7 should be your exponent for 10.
6.7*10^3
Ms. Ciervo is making cupcakes. She has 9 2/3 teaspoons of vanilla. Each cupcake needs to have -1/3 teaspoon of vanilla. How many cupcakes can she make?
Answer:
The number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Step-by-step explanation:
The information provided is:
Ms. Ciervo has [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla. Each cupcake needs to have [tex]\frac{1}{3}[/tex] teaspoon of vanilla.Compute the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla as follows:
Amount of vanilla required for one cupcake = [tex]\frac{1}{3}[/tex] teaspoons
Total amount of vanilla available [tex]9 \frac{2}{3}[/tex] teaspoons.
[tex]\text{number of cupcakes}=\frac{\text{total amount}}{\text{amount required for 1 cupcake}}[/tex]
[tex]=\frac{9\frac{2}{3}}{\frac{1}{3}}\\\\=\frac{29}{3}\div\frac{1}{3}\\\\=\frac{29}{3}\times \frac{3}{1}\\\\=29[/tex]
Thus, the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Evaluate the expression the quantity 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. A –16 B 8 C 20 D 29
Answer:
A is the correct option.
Step-by-step explanation:
We need to evaluate the expression 3 plus 5, multiplied by, the quantity h minus k, divided by 4, when h = 4 and k = 12. It can be written as :
[tex](3+5)\times \dfrac{h-k}{4}[/tex]
Put h = 4 and k = 12 in above expression.
So,
[tex](3+5)\times \dfrac{h-k}{4}=(3+5)\times \dfrac{4-12}{4}\\\\=8\times \dfrac{-8}{4}\\\\=2\times -8\\\\=-16[/tex]
After solving we get that the value of the given expression is -16.
I am a two digit prime number I am one less than multiple of 10. If you add 30 to meet you get another prime number. What number am I?
Answer: 29
Step-by-step explanation:
help help help help help help
Answer:
a) (-2, -1)
b) (-3, 0) and (-1, 0)
Step-by-step explanation:
The turning point is the same as the vertex of the graph.
The vertex would be (-2, -1).
The zeros of the equation would be where the graph crosses the x-axis when y = 0.
The roots would be (-3, 0) and (-1, 0).
Plzz answer quickly
Answer:
For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS
11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.
Answer:
R(16,-8)
Step-by-step explanation:
if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.
then x=(x1+x2)/2
and y=(y1+y2)/2
let coordinates of R are (x,y)
4=(-8+x)/2
8=-8+x
x=8+8=16
-3=(2+y)/2
-6=2+y
y=-6-2=-8
so R is (16,-8)
Simplify:
4 (1/2 + 5/4) +-5=
A.2
B.3
C.4
D.5
Answer:
2
Step-by-step explanation:
First do whats in the parenthesess
it will look like this
2+5-5=2 the 5's cancel eachother out so your left with 2
What percent of 101 is 16.16?
Answer:
16.16 is 16% of 101
Step-by-step explanation:
Hope this helps!
Amy invested $250 in the bank and a year later has $285.72. By what percent has the amount changed?
Answer:
14.28 %
Step-by-step explanation:
It is given that,
Initial amount is $250 and after 1 year the amount is $285.72. We need to find the percent by which the amount changed. It can be calculated as follows :
[tex]\%=\dfrac{\text{change in amount}}{\text{initial amount}}\times 100\\\\\%=\dfrac{285.72-250}{250}\times 100\\\\\%=14.28\%[/tex]
Hence, there is an increase of 14.28 % in this case.
To rule How to find f(7) ?
Solve for x: -1 < x + 3 < 5
Work Shown:
-1 < x+3 < 5
-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides
-4 < x < 2
Pls help if you know
Answer:
C
Step-by-step explanation:
A: (16 - 12)² = 4² = 16 (Incorrect)
B: -|-4| = -(4) = -4 (Incorrect
C: (96 ÷ 8) - 2³ = 12 - 8 = 4 (Correct)
Solve for t 4/3 = t/7
Answer:
t=28/3
Step-by-step explanation:
Id this helped feel free to send thanks and give brainliest so I can continue to help people around the brainly community.
Please help!! I've been getting them all wrong
Answer:
your welcome it has to be c
Answer:
I honestly dont know
Step-by-step explanation:
Use a calculator for algebra srry if this answer is useless
What is the x-coordinate of the image of point (−2, 6) after a reflection in the -axis?
(2,6) after a reflection in the x axis
(-2,-6) after a reflection in the y axis
solve for each equation and justify EACH step.
3x+4=31
3(2x+1)
solve 1/2(16x-8)=2(x+16)
Answer:
Step-by-step explanation:
3x+4=31
subtract 4 on both sides That gives you
3x=27
now divide 27 by 3
that gives you X=9
———————————————-
3(2x+1)
you distribute 3 into the parentheses
so 3 x 2x is 6x 3x1 is 3
so its 6x+3
————————————————
1/2(16x-8)=2(x+16)
first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right
which gives you 8x-4=2x+32
then you combine like terms 8x+2x is 10x and -4+32 is 28
so you answer to this one is 10x+28
Mr. Sloan is purchasing 2.3 pounds of trail mix that costs $6.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20. do it on rational numbers
Answer:
5.55
Step-by-step explanation:
The cost of the 3.4 pounds of trail mix is:
STEP 1:
multiply number of pounds purchased by price per pound
= 3.4 pounds * $4.25 per pound
= $14.45 total cost
STEP 2:
subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)
= $20.00 - $14.45
= $5.55 amount received back from cashier