Answer:
The solution is basic.
Step-by-step explanation:
Applying,
pH = -log(H⁺)................. Equation 1
From the question,
Given: (H⁺) = 2.7×10⁻⁹ M
substitute these value into equation 1
pH = -log(2.7×10⁻⁹)
pH = 8.57 M.
pH scale
For acidity = 0-6
For neutrality = 7
For basicity = 8-14
From the above calculation,
The solution is basic.
Can someone please help me ??
Answer:
D
Step-by-step explanation:
Let w represent the width
Length=18+W
And width=w
So area of a Triangle equals (length times width)divided by two
Area=(18+w)(w)/2
And the area is given to us as 189
180=(18w+w^2)/2
Multiplying both sides by two yields
360=18w+w^2
The subtract 360 from both sides to get
w^2 +18w-360=0
I need the answer plsss
Answer: 12.5
Step-by-step explanation: Well 50 diviedby 4 = 12.5
Tomando como referencia que los ángulos opuestos por el vértice son iguales. Obtén el valor de los ángulos que se te solicitan
a = 143o
b=
c=
d=
e=
f=
g=
Answer:
??
Step-by-step explanation:
Use the given information to find the exact value of a.sin 20, b.cos
Answer:
Step-by-step explanation:
[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]
Now we cal calculate the quantities requested
[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]
[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]
[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]
please help, I'll give brainlist who answers my questions ax+by=2x-3y
Answer:
a=4, b=-3
Step-by-step explanation:
If it is vertical, then the y coefficient must be equal to zero, which means b = -3. When y is 0, a*3=2*3+6, which means a=4.
Answer:
a=4
b=-3
Step-by-step explanation:
ax+by=2x-3y+6 is vertical and passes through (3,0) which means the equation should be equivalent to x=3.
If we want the y's to cancel we need -3y on lefy since we have it on right so b=-3.
So now the equation is ax=2x+6
If ax=2x+6 and x=3, by substitution property we have a(3)=2(3)+6.
Let's solve for a.
3a=6+6.
3a=12
a=12/3
a=4.
a=4
b=-3
A shelf measures 3.5m long and 50cm high, how many of these
boxes would you be able to store on the shelf?
Answer:
answer choices?
Step-by-step explanation:
A figure is shown with the given dimensions. What is the area, in square feet of the figure?
Answer:
area of the figure=1/2×(10+6)×3
=24 square feet
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +
Answer:
Step-by-step explanation:
A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:
[tex]m=\frac{5-(-3)}{-1-(-3)}=\frac{5+3}{-1+3}=\frac{8}{2}=4[/tex] so the line we need to write has a slope of 4. Moving on...
If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:
y - 0 = 4(x - 4) and
y = 4x - 16
Answer:
Answer above is correct!
First Box: 4
Second Box: -16
Step-by-step explanation:
Hope this helps :D
The number of potholes on 30 randomly selected 1 mile stretch of highways in the City of Chicago is given below 2, 7, 4, 7, 2, 7, 2, 2, 2, 3, 4, 3, 1, 2, 3, 2, 1, 4, 2, 2, 5, 2, 3, 4, 4, 1, 7, 6, 3, 5 (a) Complete the frequency distribution for the data. Make sure to enter your answers for the relative frequency as decimals, rounded to the nearest tenth.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
2, 7, 4, 7, 2, 7, 2, 2, 2, 3, 4, 3, 1, 2, 3, 2, 1, 4, 2, 2, 5, 2, 3, 4, 4, 1, 7, 6, 3, 5
Value __ Frequency ___ relative frequency
1 ___ 3 ______ 3/30 ____ 0.1
2 __ 10 ______ 10/30 ___ 0.3
3 __ 5 _______ 5/30____0.2
4 __ 5 ________ 5 / 30 __0.2
5 __ 2 _________ 2/30 __ 0.1
6 __ 1 _________ 1/30 ___0.0
7 __ 4 ________ 4/30 ___0.1
Kindly note that relative frequencies were rounded to the nearest tenth.
Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and W the number of wolves. For example, if you found three equilibrium solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 wolves, and one with 300 rabbits and 30 wolves, you would enter (100,10),(200,20),(300,30). Do not round fractional answers to the nearest integer.
Answer:
[tex](0,0)[/tex] [tex](4000,0)[/tex] and [tex](500,79)[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:
[tex]\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW[/tex]
[tex]\frac{dW}{dt} = -0.02W + 0.00004RW[/tex]
To solve this, we first equate [tex]\frac{dR}{dt}[/tex] and [tex]\frac{dW}{dt}[/tex] to 0.
So, we have:
[tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]
[tex]-0.02W + 0.00004RW = 0[/tex]
Factor out R in [tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]
[tex]R(0.09(1 - 0.00025R) - 0.001W) = 0[/tex]
Split
[tex]R = 0[/tex] or [tex]0.09(1 - 0.00025R) - 0.001W = 0[/tex]
[tex]R = 0[/tex] or [tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]
Factor out W in [tex]-0.02W + 0.00004RW = 0[/tex]
[tex]W(-0.02 + 0.00004R) = 0[/tex]
Split
[tex]W = 0[/tex] or [tex]-0.02 + 0.00004R = 0[/tex]
Solve for R
[tex]-0.02 + 0.00004R = 0[/tex]
[tex]0.00004R = 0.02[/tex]
Make R the subject
[tex]R = \frac{0.02}{0.00004}[/tex]
[tex]R = 500[/tex]
When [tex]R = 500[/tex], we have:
[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]
[tex]0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0[/tex]
[tex]0.09 -0.01125 - 0.001W = 0[/tex]
[tex]0.07875 - 0.001W = 0[/tex]
Collect like terms
[tex]- 0.001W = -0.07875[/tex]
Solve for W
[tex]W = \frac{-0.07875}{ - 0.001}[/tex]
[tex]W = 78.75[/tex]
[tex]W \approx 79[/tex]
[tex](R,W) \to (500,79)[/tex]
When [tex]W = 0[/tex], we have:
[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]
[tex]0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0[/tex]
[tex]0.09 - 2.25 * 10^{-5}R = 0[/tex]
Collect like terms
[tex]- 2.25 * 10^{-5}R = -0.09[/tex]
Solve for R
[tex]R = \frac{-0.09}{- 2.25 * 10^{-5}}[/tex]
[tex]R = 4000[/tex]
So, we have:
[tex](R,W) \to (4000,0)[/tex]
When [tex]R =0[/tex], we have:
[tex]-0.02W + 0.00004RW = 0[/tex]
[tex]-0.02W + 0.00004W*0 = 0[/tex]
[tex]-0.02W + 0 = 0[/tex]
[tex]-0.02W = 0[/tex]
[tex]W=0[/tex]
So, we have:
[tex](R,W) \to (0,0)[/tex]
Hence, the points of equilibrium are:
[tex](0,0)[/tex] [tex](4000,0)[/tex] and [tex](500,79)[/tex]
pls I need this last question someone help
Answer:
n= 2x-6y
Step-by-step explanation:
So we might look at this and have an immediate panic attack, but if there is one thing we might look to to help us, it would be logarithms. Logarithms have many wonderful properties that will help us solve this equation. Let's get started:
1. This is the starting equation. [tex](2^{\frac{1}{2} } )^{n} =\frac{2^x}{8^y}[/tex]
2. Let's use the power to power rule on the left and multiply 1/2 by n:
a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]
3. Next, lets take the log of both sides and use the properties of logarithms:
a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]
b. [tex]log(2^{\frac{1}{2}n }) =log(\frac{2^x}{8^y})[/tex]
c. One property we are allowed to use is bringing down the exponent on the left, and another property we can use is when you have the log of a fraction, that is the same thing as the log(numerator)-log(denominator)
d. [tex]\frac{1}{2}n *log(2) =log(2^x)-log(8^y)[/tex]
e. After we do this, we can use the same property of bringing down the exponent on the right side:
f. [tex]\frac{1}{2}n *log(2) =x*log(2)-y*log(8)[/tex]
g. After this, because log(2) and 1/2 are both numbers and are multiplied by n, we can divide them from both sides, and simplify:
h. [tex]\frac{1}{2}n =\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
i. [tex]2(\frac{1}{2})n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
j. [tex]n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
k. After this, we must simplify the fraction because log(2)/log(2)=1, and log(8)/log(2)=3, these are both because 2^1=2 and 2^3=8 respectively:
l. [tex]n =2(\frac{x*log(2)}{log(2)}-\frac{y*log(8)}{log(2)} )[/tex]
m. Lastly, let's cancel and distribute:
n. [tex]n =2(x-3y)[/tex]
o. [tex]n=2x-6y[/tex]
Can someone help me please faster
A study found that 62% of drivers believe that they are equally capable of driving a car when texting and when not texting. Of those 62%, 34% had been in an accident; 75% of those had been texting. Which of the following inferences can be made from this data?
A large number of drivers overestimate their abilities.
Most drivers are capable of texting and driving simultaneously.
25% of those texting do not get into accidents.
38% of drivers are more cautious than the rest.
Answer:
your answer is c
Step-by-step explanation:
Help me out please???
9514 1404 393
Answer:
2 < x < 15
Step-by-step explanation:
The triangle inequality requires all of ...
(x +11) +(2x +10) > (5x -9) ⇒ 30 > 2x
(2x +10) +(5x -9) > (x +11) ⇒ 6x > 10
(5x -9) +(x +11) > (2x +10) ⇒ 4x > 8
The solutions to these are ...
x < 15
x > 5/3
x > 2
So, the final requirement that has x satisfying all of these is ...
2 < x < 15
Help anyone? Please hurry
a market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product g which is the most appropriate test
Answer and explanation:
Answer:
Two sample t test
Explanation:
The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.
PLS HELP WITH 4 and 5 ASAPPP FOR BRAINLIEST
Answer:
4. SAME SLOPE, SAME Y INTERCEPT.
When this happens... The system of Equations has an Infinite Number of solutions.
A IS YOUR ANSWER
5.
A system of Equations has no solution when the graph of the system are PARALLEL LINES.
OPTION D IS YOUR ANSWER.
Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $10.00 of the total money is Peter's, how much do all five brothers have combined?
A.
$2.50
B.
$50.00
C.
$30.00
D.
$40.00
Answer:
t represents the total amount
0.25t = 10.00
Can you solve for t and answer?
Or logically
Peter's 10.00 is 1/4 (25%) of the total.
Therefore 4/4 is $40.00
Step-by-step explanation:
Please mark brainliest
Find the domain of the rational expression: x-5/3x-6
Answer:
[tex]Domain= \{x<2\ or\ x>2\}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 5}{3x - 6}[/tex]
Required
The domain
Equate the denominator to 0
[tex]3x - 6 = 0[/tex]
Solve for x
[tex]3x = 6[/tex]
[tex]x = 2[/tex]
This means that the value of x cannot be 2 for the given function.
So, the domain is:
[tex]Domain= \{x<2\ or\ x>2\}[/tex]
Emma signed up for a streaming music service that costs $6 per month . The service allows Emma to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Emma have to pay in a month in which she downloaded 40 songs? How much would she have to pay if she downloaded s songs ?
a Cost for 40 songs :
Cost for s songs :
Answer:
She would have to payed 36 dollars;
for the second part, i dont get it
Step-by-step explanation:
.75x40= 30
30+6 = 36
Answer:
Cost for 40 songs: $36
Cost for s songs: 0.75s + 6
Step-by-step explanation:
Set up an equation:
Variable s = number of songs
Variable x = number of months
0.75s + 6x
Solve for 40 songs in 1 month:
0.75(40) + 6(1)
30 + 6
$36
Solve for s songs:
0.75s + 6(1)
0.75s + 6
select the correct answer
what is the left hand limit of g(x)=
[tex] \frac{ {x}^{2} - 25 }{x - 5} [/tex]
as x aproaches 5
10
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 5} \left(\dfrac{x^2 - 5}{x - 5} \right)= \lim_{x \to 5} \dfrac{(x+5)(x-5)}{(x-5)}[/tex]
or
[tex]\displaystyle \lim_{x \to 5} (x + 5) = 10[/tex]
Helppp ASAAPPPP WILL MARK AS BRAINLIST
8.The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb. The parcel service wishes to establish a weight value c beyond which there will be a surcharge. What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight
Answer:
The value is c = 21.1445.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.
This means that [tex]\mu = 12, \sigma = 3.5[/tex]
What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?
This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 12}{3.5}[/tex]
[tex]X - 12 = 2.327*3.5[/tex]
[tex]X = 20.1445[/tex]
1 + 20.1445 = 21.1445
The value is c = 21.1445.
The sales tax for an item is 8%. The sales tax for an item that costs $130.19 is
Answer:
Step-by-step explanation:
Answer:
The sale tax is $10.42
Find the dimensions of a cube with a
volume of 125 cubic cm. (Hint: Remember
that a cube has equal dimensions
because all the sides are squares.)
3. Lines of symmetry divide figures into two equal parts.
True
False
Answer:
False
Step-by-step explanation:
You can have more than one line of symmetry to divide figures into more than two equal parts.
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal? 77
Answer:
77 boxes
Step-by-step explanation:
1000/13= 76.9230769
They can't sell part of a box and a little extra money never hurt any one.
Answer:
77
Step-by-step explanation:
You already answered the question, but- 13 x 77 = 1001
If 5 times a number increased by 30 is 15, what is the number?
Answer:
let x=the number
5x+30=15
5x=15-30
5x=-15
5x/5=-15/5
x=-3
Let's keep the,
Value of unknown number as y.
Then find the y,
→ 5y + 30 = 15
→ 5y = 15 - 30
→ 5y = -15
→ y = -15/5
→ [y = -3]
Therefore, -3 is the number.
Compute the product using (a) the definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights, and (b) the row-vector rule for computing Ax. If a product is undefined, explain why.
Answer:
When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.
When the number of columns in A [tex]\neq[/tex] the number of rows in B.
The matrix-vector is not defined.
Step-by-step explanation:
For example:-
Step 1:
Let's assume
[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2 & [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1
Since matrix multiplication of matric A and matrix B is only possible,
When the number of columns in A = Number of rows in B.
Step 2:
Let's A as m x n; Here m = rows and n=columns
B as p x q; Here p = rows and q=columns.
When n [tex]\neq[/tex] p, the matrix-vector is not defined.
That is matrix multiplication Ax is not possible.
Hence the matrix is not defined.
Solve the equation ln(1+x)=1+ln(x)
Answer:
1/(e - 1)
Step-by-step explanation:
ln (1 + x) = 1 + ln (x)
ln (1 + x) - ln (x) = 1
ln ((1 + x)/x) = 1
(1 + x)/x = e = 1 + 1/x
x = 1/(e - 1)