20.0 mL of 5.0 M HCl solution contains
0.0200 L * 5.0 M = 0.10 mol
of HCl.
Mixing the HCl and NaOH solutions results in
HCl + NaOH ==> NaCl + H2O
which is to say 0.10 mol of HCl reacts with 0.10 mol of NaOH. If only 10.0 mL of NaOH solution is required, then its molarity x is such that
0.0100 L * x M = 0.10 mol => x = 10. M
If my weekly pocket money goes up by 50% each year . How much will I be getting a week after 3 years if I start on £1 a week ?
Answer: £3.38
Step-by-step explanation:
In the first year, the pocket money goes up by:
= 1 + (1 * 50%)
= £1.50
In the second year:
= 1.50 + (1.50 * 50%)
= £2.25
In the third year:
= 2.25 * ( 2.25 * 50%)
= £3.38
The Titanus beetle can measure 16710 centimeters in length, and the Giant Weta beetle can measure 8510 centimeters in length. How much longer is the Titanus than the Giant Weta?
Answer:
The answer you're looking for is 8,200cm
Step-by-step explanation:
What is the measure of x?
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
The graph is a line that passes trough the coordinates (2, 11) and (8, 14). Which is an equation in terms of x and y for this function?
A. y = 1/2 x + 10
B. y = 2/3 x + 9
C. y = 3/2 x + 8
D. y = 2x + 7
Answer:A
Step-by-step explanation:
m=(14-11)/(8-2)
m=3/6
m=1/2
y = 1/2x+b substitute one of the points
11=1/2(2)+b
11=1 + b
b=10
y = 1/2x+10
I do not know how to solve this anyone please help me?
Answer:x>=-2
Step-by-step explanation:x is also equal to -2 as the dot is closed.
(PLEASE HELP 30 POINTS)
Select all the correct answers.
Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The
total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which
statements about the length of each plot are true?
The equation x3 - 15x2 - 100x - 2,688 0 can be used to find the length of each plot.
The equation x3 + 25x2 + 100% -2,688 = 0 can be used to find the length of each plot.
o o o o o
The equation x3 + 15x2 - 100x - 2,688 = 0 can be used to find the length of each plot.
The length of each plot is 12 yards.
The length of each plot is 8 yards.
Answer:
We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Answer:x^3+15x^2-100x-2,688=0
Step-by-step explanation:
find the solutions to the equation below check all the apply 5x^2+7x-5=0
Answer:
e and f
Step-by-step explanation:
there is a great app to use called algebrator it helps me everyday for things like this <3
Is the Function exponential?
Answer:
y = 4x+ 5 is the equation that describes the data...
that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"
Step-by-step explanation:
Five athletes are in a 100k race. How many different ways can they finish based on their order?
Answer:
120 different ways
Step-by-step explanation:
The first person can be 5 different ways
Now there are 4 people left
The second person can be 4 different ways
And so on
5*4*3*2*1
120 different ways
simpifly fully, does anyone know the answer.
Answer:
Step-by-step explanation:
Note : In multiplication if the bases are same u can add their exponent while in division if the bases are same u can subtract their exponent.
Hope this helps u !!
Find the dimensions of a vegetable garden with a perimeter of 14 m so that it is as large as possible.
Answer:
yes
Step-by-step explanation:
Can someone help me please
Answer:
2
Step-by-step explanation:
Divide by 4 on each side.
4x/4 and 8/4
Now we have just x on one side and 2 on the other.
So, x = 2.
One x-intercept for a parabola is at the point
(1,0). Use the factor method to find the other x-
intercept for the parabola defined by this
equation:
y = 2x2 - 6x + 4
Answer:
x-intercept (2, 0)
Step-by-step explanation:
y = 2x² - 6x + 4
Factor
(2x - 2)(x - 2) = 0
2x - 2 = 0
2x = 2
x = 1
x-intercept (1, 0)
x - 2 = 0
x = 2
x-intercept (2, 0)
By using the factor method,
the other x-intercept of the parabola is (2, 0).
What is parabola?A parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the Directrix ).
Given:
One x-intercept for a parabola is at the point (1,0).
In factor form : (x - 1)
And the quadratic function,
y = 2x² - 6x + 4.
To find the factor of the equation:
2x² - 6x + 4 ÷ (x - 1)
We get,
(2x - 4) = 0
x = 4/2
x = 2
The other intercept of the parabola is (2, 0).
Therefore, the other x-intercept of the parabola is (2, 0).
To learn more about parabola;
https://brainly.com/question/21685473
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There are 13 books on a shelf. Of these books are new. 9 The rest of them are used. (a) What is the ratio of used books to new books? (b) What is the ratio of all books on the shelf to used books?
Answer:
a) The ratio of used books to new books is of [tex]\frac{9}{4}[/tex].
b) The ratio of all books on the shelf to used books is of [tex]\frac{13}{9}[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Ratio of b to a:
The ratio of b to a is given by:
[tex]\frac{b}{a}[/tex]
In this question:
13 books, 9 used, 4 new.
(a) What is the ratio of used books to new books?
9 used, 4 new. So
The ratio of used books to new books is of [tex]\frac{9}{4}[/tex].
(b) What is the ratio of all books on the shelf to used books?
13 books on the shelf, 9 used. So
The ratio of all books on the shelf to used books is of [tex]\frac{13}{9}[/tex]
Amal and Salma share some money in the
ratio 5:9
Salma gets $252 more than Amal.
How many does Amal get ?
O $315
O $140
O $90
$567
which two prime numbers' product is 226
Answer:
Step-by-step explanation:
Unit place of 226 is 6 and so it is divisible by 2
226 = 2 * 113
Here , 2 and 113 are prime numbers
Eborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer:
5%
Step-by-step explanation:
Given that:
Theoretical probability = 50%
The experimental probability = number of desired outcome / number of trials
Hence, experimental probability = 45 / 100 = 0.45
0.45 = 0.45 * 100% = 45%
Percentage difference in theoretical and experimental probability :
Theoretical - experimental
50% - 45% = 5%
what is the measure of the supplement of a 65.4 angle
Answer:
65 degree angle but when straight 180 degree angle
Step-by-step explanation:
sry if wrong :)
Determine the dot product between the two vectors. u=< 5,3 > and v =< 12,4 >
Answer:
v . u = < v1 , v2 > . <u1 , u2> = v1 u1 + v2 u2
Step-by-step explanation:
Need to make a rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that will be needed?
Answer:
The least amount of fencing needed for the rectangular pen is 72.19 feet.
Step-by-step explanation:
The area and perimeter equations of the pen are, respectively:
[tex]p = 2\cdot (x + y)[/tex] (1)
[tex]A = x\cdot y[/tex] (2)
Where:
[tex]p[/tex] - Perimeter, in feet.
[tex]A[/tex] - Area, in square feet.
[tex]x[/tex] - Width, in feet.
[tex]y[/tex] - Length, in feet.
Let suppose that total area is known and perimeter must be minimum, then we have a system of two equations with two variables, which is solvable:
From (2):
[tex]y = \frac{A}{x}[/tex]
(2) in (1):
[tex]p = 2\cdot \left(x + \frac{A}{x}\right)[/tex]
And the first and second derivatives of the expression are, respectively:
[tex]p' = 2\cdot \left(1 -\frac{A}{x^{2}} \right)[/tex] (3)
[tex]p'' = \frac{4\cdot A}{x^{3}}[/tex] (4)
Then, we perform the First and Second Derivative Test to the function:
First Derivative Test
[tex]2\cdot \left(x - \frac{A}{x^{2}} \right) = 0[/tex]
[tex]2\cdot \left(\frac{x^{3}-A}{x^{2}} \right) = 0[/tex]
[tex]x^{3} - A = 0[/tex]
Given that dimensions of the rectangular pen must positive nonzero variables:
[tex]x^{3} = A[/tex]
[tex]x = \sqrt[3]{A}[/tex]
Second Derivative Test
[tex]p'' = 4[/tex]
In a nutshell, the critical value for the width of the pen leads to a minimum perimeter.
If we know that [tex]A = 169\,ft^{2}[/tex], then the value of the perimeter of the rectangular pen is:
[tex]x = \sqrt[3]{169\,ft^{2}}[/tex]
[tex]x \approx 5.529\,ft[/tex]
By (2):
[tex]y = \frac{A}{x}[/tex]
[tex]y = \frac{169\,ft^{2}}{5.529\,ft}[/tex]
[tex]y = 30.566\,ft[/tex]
Lastly, by (1):
[tex]p = 2\cdot (5.529\,ft + 30.566\,ft)[/tex]
[tex]p = 72.19\,ft[/tex]
The least amount of fencing needed for the rectangular pen is 72.19 feet.
Ramiro tiene que reemplazar un vidrio roto de su casa, que tiene forma rectangular y mide 3,23m y 2,55m. Cuántos metros cuadrados de vidrio tiene que comprar
Answer:
8,24 metros cuadrados de vidrio
Step-by-step explanation:
Área de un rectángulo = Largo × Ancho
De la pregunta anterior
Longitud = 3,23 m
Ancho = 2,55 m
Área del rectángulo = 3,23 m × 2,55 m
= 8.2365 m²
Aproximadamente = 8,24 m²
Por tanto, Ramiro tiene que comprar 8,24 metros cuadrados de vidrio
PLEASE HELP 25 POINTS
Evaluate 4(3 - 1)^2
O A. 16
O B. 128
O C. 64
O D. 32
A hiker is standing 40 feet away from a tree that is 50 feet tall.
What is the angle of elevation from the hikers foot to the top of the tree??
HELP ME PLEASE ITS URGENT
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
Solve the simultaneous equations
2x+4y=1
3x-5y=7
Answer:
Step-by-step explanation:
Step 1: Add -4y to both sides.
2x+4y+−4y=1+−4y
2x=−4y+1
Step 2: Divide both sides by 2.
2x
2
=
−4y+1
2
x=−2y+
1
2
Step 1: Add 5y to both sides.
3x−5y+5y=7+5y
3x=5y+7
Step 2: Divide both sides by 3.
3x
3
=
5y+7
3
x=
5
3
y+
7
3
If (x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
2x-3
Step-by-step explanation:
f (x) = 3x - 1
g(x) = x + 2
(f - g)(x) = 3x-1 - ( x+2)
Distribute the minus sign
= 3x-1 -x-2
Combine like terms
= 3x-x-1-2
= 2x-3
(f - g )( x ) = 2 x - 3
step-by-step explanation:f ( x ) = 3x - 1
g ( x ) = x + 2
(f - g )(x ) = ( 3x - 1 ) - ( x + 2. )remove unnecessary parantheses
3 x - 1 - x - 2collect like terms
3x - x - 1 -22 x -3Can someone help me ASAP please and thank you
Answer:
65 + 30x.
Step-by-step explanation:
The $65 is a one-time fee for when you first purchase the instrument. The $30 is every month you rent it, and x = the months you rent it.
Therefore, to find the whole cost over time, you would do
65 (first month) + 30x (how much you'll spend over the time you rent the instrument).
Find the area of the shaded region. Leave your answer in terms of pi.
Answer:
[tex]\displaystyle A_\text{shaded}=18-\frac{9}{2}\pi \text{ units}^2[/tex]
Step-by-step explanation:
First, find the area of the rectangle:
[tex]A_\text{rect}=9(3)=18\text{ units}^2[/tex]
In order to find the area of the shaded region, we can subtract the areas of the two sectors from the total area of the rectangle.
Find the area of the sectors. We can use the sector formula:
[tex]\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}[/tex]
The left sector has a radius of three units and an angle of 90°. Hence, its area is:
[tex]\displaystyle A_\text{L}=\pi (3)^2\cdot \frac{90}{360}=9\pi\cdot \frac{1}{4}=\frac{9}{4}\pi[/tex]
The right sector is identical to the left sector. So, the total area of the two sectors is:
[tex]\displaystyle A_{\text{T}}=\frac{9}{4}\pi +\frac{9}{4}\pi =\frac{9}{2}\pi[/tex]
Hence, the area of the shaded region is:
[tex]\displaystyle A_\text{shaded}=18-\frac{9}{2}\pi \text{ units}^2[/tex]
What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax is $62.28?
Answer: $ 91.50.
Step-by-step explanation:
Let x be the original price.
Since discount is applied before tax.
New price = (Original price - Discount)-Tax rate (Original price - Discount)
, where Discount = Discount rate x Original price.
Substituting values, we get
[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]
[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]
[tex]62.28=0.75x-0.069375x[/tex]
[tex]62.28=0.680625x[/tex]
[tex]x=\frac{62.28}{0.680625}[/tex]
[tex]x=91.50[/tex]
Hence, the original price was $ 91.50.
Find the Value of X of this triangle
Answer:
x=2
Step-by-step explanation:
Since the base angles are the same, the side lengths are the same, making this an isosceles triangle
7(x+2) = 4(9-x)
Distribute
7x+14 = 36 -4x
Add 4x to each side
7x+4x +14 = 36 -4x+4x
11x +14 = 36
Subtract 14 to each side
11x+14-14 = 36-14
11x = 22
Divide by 11
11x/11 =22/11
x=2
Answer: x=2
Step-by-step explanation:
This is an isosceles triangle. That means both of the sides marked are congruent.
That means we can set up this equation and solve it:
[tex]7(x+2)=4(9-x)[/tex]
First let's use the distributive property
[tex](7)(x)+(7)(2)=(4)(9)-(4)(x)\\7x+14=36-4x[/tex]
Now we can add 4x on both sides
[tex]7x+14+4x=36-4x+4x\\11x+14=36[/tex]
Next we subtract 14 from both sides
[tex]11x+14-14=36-14\\11x=22[/tex]
Finally we divide both sides by 11
[tex]\frac{11x}{11} =\frac{2}{11} \\x=2[/tex]
Plz help me solve this problem
The answer is 19 they worked it out right above the question.
Answer:
19
Step-by-step explanation:
3(x+6) = 5(x-4)
Distribute
3x+18 = 5x-20
Subtract 3x from each side
18 = 2x-20
Add 20 to each side
38 = 2x
Divide by 2
19 = x
The solution is 19