Answer:
Equation:
HCL + HCL = HCL
0.30x + 0.45(50-x) = 0.35*50
Multiply thru by 100 to get:
30x + 45*50 - 45x = 35*50
-15x = -10*50
x = (2/3)50
x = 33 1/3 liters (amt. of 30% solution needed in the mixture)
50-x = 16 2/3 liters (amt. of 45% solution needed in the mixture)
=============
Step-by-step explanation:
Answer:
about 36 and 24 liters
Step-by-step explanation:
a+b = 60 1
let A multiplied by 10 percent and B multiplied by 35 percent then
10 a + 35 b = 1500 ( 60 * 25 ) 2
add no. 1 to 2 and multiply no.1 by -10
-10 a+ -10 b = -600
10 a+ 35 b = 1500 adding
then 25 b = 900 then b = 36 liter
then a = 24 liter
The dot plot shows the time trials of an experiment. Each number on the dot plot represents the amount of time, in seconds, it took to complete a trial.
How many time trials were recorded during the experiment?
Enter the answer in the box.
Answer:
There were 18 trials recorded
Step-by-step explanation:
Each dot is a trial, the numbers under them is how long each that trial took.
Hope this helps.
The number of times trials were recorded during the experiment are:
18
Step-by-step explanation:We know that the dot plot is nothing but the representation of outcomes of a experiment where the dots represent the value of each outcome.
and the total number of dots represent the total number of items which are studied or recorded.
Here, the total number of trials that are recorded is equal to the total number of dots in the dot plot i.e. the total frequency of the set.
The data frequency table is as follows:
Value Frequency
15 2
17 3
19 2
20 2
21 1
23 4
24 1
25 3
Total frequency= 2+3+2+2+1+4+1+3=18
Hence, the answer is: 18
I need to know what is 7 percent of 98800
Answer:6,916
6,916
How to find the number:
The decimal of seven percent is 0.07. Take that times 9880
what is the leading coefficient of the polynomial when written in standard form 8x^2+9+5x^3
Answer:
5
Step-by-step explanation:
To write the polynomial in standard form you need to write it in descending order of degree.
Standard form is:
5x^3 + 8x^2 + 9
The leading coefficient is the coefficient of the first term, the highest degree term.
Answer: 5
Therefore, the leading coefficient of the polynomial [tex]\(8x^2 + 9 + 5x^3\)[/tex] is [tex]\(5\)[/tex].
To write the polynomial [tex]\(8x^2 + 9 + 5x^3\)[/tex] in standard form, we arrange the terms in descending order of their degree:
[tex]\[ 5x^3 + 8x^2 + 9 \][/tex]
In this polynomial, the term with the highest degree is [tex]\(5x^3\)[/tex]. The coefficient of this term, which is the number multiplied by [tex]\(x^3\)[/tex], is the leading coefficient.
A football is kicked at ground level with an initial velocity of 64 feet per second
Find the height after 3 second and use one of the three forms and say which one would be the best to use and why
y= -16t^2+64t
y= -16(t-2)^2 + 64
y= -16t(t-4)
Answer:
The height of the football is 48 feet after 3 seconds
The first equation y = -16t² + 64t is the best
Step-by-step explanation:
* Lets explain how to solve the problem
- The equation of motion of an object on air without any
external force is y = ut + 1/2 at², where y is the height of the
object from the ground, u is the initial velocity, a is the
acceleration of gravity and t is the time
* Lets solve the problem
- A football is kicked at ground level with an initial velocity of
64 feet per second
∴ u = 64 feet per seconds
∵ The football is kicked upward
∴ a = -32 feet per seconds²
∵ y = ut + 1/2 at²
∴ y = 64t + 1/2 (-32)t²
∴ y = 64t - 16t²
* We will use the first equation y = -16t² + 64t
∵ y = -16t² + 64t
- We need to find the height of the football after 3 seconds
∵ t = 3 seconds
∴ y = -16(3)² + 64(3)
∴ y = 48
∵ y represents the height of the football
∴ The height of the football is 48 feet after 3 seconds
Help! Can someone please explain how to do this. I have my final in one hour.
Answer:
n= -3 and n= -6
Step-by-step explanation:
[tex]n^2 = -18 -9n[/tex]
We need to solve this equation to find the value of n.
Rearranging:
[tex]n^2 +9n +18 =0[/tex]
This is a quadratic equation and we can solve by using factorization method.
We need to make factors of 18n^2 such that their sum is equal to 9n.
So solving,
[tex]n^2 + 9n +18 =0\\n^2 + 6n + 3n +18 =0\\n(n+6) + 3(n+6)=0\\(n+3)(n+6) =0\\=> n+3 =0 \,\, and n+6 =0\\n= -3 \,\,and \,\,n=-6[/tex]
What is the approximate circumference of a circle with a diameter of 40 inches? (careful you need radius so 40/2)
(Use π = 3.14)
(C= 2 *π*r)
(A.) 125.6 in.
(B.) 63 in.
(C.) 251 in.
Answer:
A. ) 125.6 in.
Step-by-step explanation:
We are given the diameter of the circle, which is 40, and we are aware that radius=diameter÷2.Therefore, the radius = (40÷2) =20.The formula for the circumference of a circle is 2×pi (which in this case is 3.14) × radius, therefore:2×3.14×20 gives you your answer.When you do this calculation in your head or a calculator or whatever, it equals to 125.6. Therefore A.) is the correct answer.Hope I helped :)
Answer:
(A.) 125.6 inStep-by-step explanation:
The formula of a circumference of a circle:
[tex]C=d\pi[/tex]
d - diameter
We have d = 40in. Substitute:
[tex]C=40\pi\ in[/tex]
[tex]\pi\approx3.14\to C\approx(40)(3.14)=125.6\ in[/tex]
50 points!!! please have serious answers
Use the data in the following table to answer the 3 questions below. Please show all calculations needed.
Daily Earnings $25 $26.50 $20 $23.50 $20
Find:
1: Median
2: Mean
3: Mode
PLEASE SHOW ALL STEPS
Median: Put the list in order from least to greatest.
$20, $20, $23.50, $25, $26.50
$20, $23.50, $25
$23.50 is the median. I took one from each side until I had one left.
Mean: Get the sum of them all and then divide by the number of earnings ( in this case )
$25 + $26.50 = $51.50 $51.50 + $20 = $71.50 $71.50 + $23.50 = $95
$95 + $20 = $115 $115/5 = $23
$23 is the mean.
Mode: Is the one that finds the frequency or in lamen terms it is the number which appears most often.
There's no steps for finding the expect counting how many times that number appeared.
$20 is the mode.
Answer:
He's correct
Step-by-step explanation:
At a high school, 18% of the students play football and 6% of the students
play football and baseball. What is the probability that a student plays
baseball given that he plays football?
OOO
O A. 1.1%
O B. 10.8%
O C. 33.3%
O D. 3%
SUBMIT
D or B Step-by-step explanation:
The function f(x) is graphed below.
Use the graph of the function to find, f(1).
-2
-1
1
2
Answer:
f(1) = 2
Step-by-step explanation:
Since y is a function of x, that is;
y = f(x)
f(1) implies the value of y when x = 1.
To obtain this value we draw the vertical line x = 1 and check where the line intersects the graph of f(x).
In this case, the line x = 1 will intersect with the graph of f(x) on the line y = 2. The function f(x) assumes the value 2 between x = 0 and x = 4. Therefore,
f(1) = 2
Answer:
f(1) = 2
Step-by-step explanation:
A pole that is 2.8 m tall casts a shadow that is 1.21 m long. At the same time, a nearby tower casts a shadow that is 48.75 m long. How tall is the tower? Round
Answer:
112.81 m.
Step-by-step explanation:
The pole and the tower and their shadows form 2 similar triangles so their corresponding sides are in the smae ratio.
Therefore we have the relation:
1.21 / 48.75 = 2.8 / x where x is the height of the tower.
Cross multiplying:
x = 2.8 * 48.75 / 1.21
= 112.81 m
Final answer:
To find the height of the tower, we use the proportion 2.8 m / 1.21 m = H / 48.75 m. After cross-multiplication and division, the height of the tower is calculated to be approximately 112.81 meters.
Explanation:
The student's question involves using similar triangles to determine the height of a tower based on the shadow it casts. To solve this problem, we can set up a proportion because the pole and tower will cast shadows at the same angle due to the sun's position. The proportional relationship is formed by the height of the pole over its shadow length being equal to the height of the tower over its shadow length.
Let's designate the height of the tower as H. The proportion will then be:
2.8 m / 1.21 m = H / 48.75 m
Cross-multiplying to solve for H, we get:
2.8 m \\times 48.75 m = H \\times 1.21 m
136.5 m = 1.21 m \\times H
To find H, divide both sides by 1.21 m:
H = 136.5 m / 1.21 m
H = 112.8099 m
So, the height of the tower is approximately 112.81 meters after rounding to two decimal places.
Could anyone help me with this please?
Answer: Yes, it does. Because each input value has one and only output value.
Step-by-step explanation:
By definition, a relation is a function when each input value has one and only output value.
Then, to know if the table represents a function, you need to observe if each input value (in other words, each value of the variable "x") has only one output value (the output values are the values of the variable "y").
You can observe that each value of "x" has only one value of "y", therefore, you can conclude that the given table represents a function.
If x is 6, then 7x =
Answer:42
Step-by-step explanation:
7 multiplied by 6= 42
Insert 6 in the x place and solve
7x
7(6)
^^^The parentheses is the same as saying 7 × 6
so...
42
Hope this helped!
~Just a girl in love with Shawn Mendes
David wants to complete a hypothesis test with the least amount of probability for error. If he sets the significance level to 1%, assuming his sample is truly random, what else could he adjust in the test in order to reduce error? He could change the population mean. He could increase the sample size. He could change the population standard deviation. He could decrease the sample size.
Answer:
He could increase the sample size
Step-by-step explanation:
In hypothesis testing, the error associated with the test is affected by a number of factors. The first factor is the level of significance, alpha. This is the probability of type 1 error. The probability of rejecting the null hypothesis when it is indeed true.
The second factor is the size of the sample used. The larger the sample, the smaller the error since the characteristics of the sample will be closer to those of the entire population on which inference is being made
Answer:
B is correct just took the test.
Step-by-step explanation:
Identify the transformation that carries the figure onto itself.
A) rotate 540° clockwise about (5, 3) and reflect across the line y = 3
B) rotate 540° clockwise about (5, 3) and reflect across the line x = 3
Eliminate
C) rotate 450° clockwise about (5, 3) and reflect across the line y = 3
D) rotate 450° clockwise about (5, 3) and reflect across the line x = 3
Answer: a
hope this helps
Answer:
The answer is A) rotate 540° clockwise about (5, 3) and reflect across the line y = 3 HOPE I HELP :)
Step-by-step explanation:
a large storage container in the shape of a rectangular prism has the dimensions of the following: length 16.5m width 18.2m height 12m .how many 1 cubic m boxes can fit in the storage container?
Answer:
3603 boxes.
Step-by-step explanation:
Rectangular Prism is actually a cuboid.
Volume of cuboid = length * width * height.
It is given that length = 16.5 m, width = 18.2 m, and height = 12 m. Therefore:
Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.
Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:
Number of boxes to be fit = Volume of Large container/Volume of Small Container.
Number of boxes = 3603.6/1 = 3603 boxes.
Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!
You are dealt one card from a 52-card deck. Find the probability that you are dealt a three or a red card.
Answer:
7/13
Step-by-step explanation:
26 cards are red. 2 are black threes. So the probability that a card is a three or red is 28/52, which reduces to 7/13.
Ann needs 3/4 of a book in 2 days. At this rate how many books can she read in 4 1/3 days.
Answer: 1 5/8 or 13/8. They are the same.
Step-by-step explanation to find the amount of books she reads in 4 1/3 says, first you need to find how much she reads in 1 day.
3/4 divided by 2 = 3/4 x 1/2=3/8.
Now you need to multiply 3/8 by 4 1/3 to find how many books she can reed in a day. 4 1/3= 13/3. 13/3 x 3/8= 39/24 = 13/8 = 1 5/8
Answer: 2.888889
Step-by-step explanation:
3/4 book 4 1/3 book
------------- = ---------------
2 days x days
4 1/3= 13/3
3/4= 0.75
1.5x= 13/3
--------- -------
1.5 1.5
x= 2.888889 books
Which set of ordered pairs represents a function?
O {(2, -2), (1, 5), (-2, 2), (1, -3), (8, -1)}
O {(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}
O {(6, 8), (5,2), (-2,-5), (1, -3), (-2, 9)}
O {(-3, 1), (6,3), (3, 2), (-3, -3), (1, -1)}
Answer:
{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}
Step-by-step explanation:
Any relation having repetitive x-coordinates, is NOT a function.
{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}, is the set of ordered pairs represents a function. So, the option B is correct.
Here, we have,
A set of ordered pairs represents a function if each input (x-value) is associated with exactly one output (y-value).
Let's examine the given options:
O {(2, -2), (1, 5), (-2, 2), (1, -3), (8, -1)}: This set does not represent a function because the input value 1 is associated with both 5 and -3.
O {(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}: This set represents a function since each input value is associated with a unique output value.
O {(6, 8), (5,2), (-2,-5), (1, -3), (-2, 9)}: This set does not represent a function because the input value -2 is associated with both -5 and 9.
O {(-3, 1), (6,3), (3, 2), (-3, -3), (1, -1)}: This set does not represent a function because the input value -3 is associated with both 1 and -3.
Therefore, the set of ordered pairs that represents a function is:
O {(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}
Hence, {(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}, is the set of ordered pairs represents a function. So, the option B is correct.
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What is (2x-3y) (4x-y)
ANSWER
[tex](2x-3y) (4x-y) = 8 {x}^{2} -14xy + 3 {y}^{2} [/tex]
EXPLANATION
We want to expand (2x-3y) (4x-y)
We use the distributive property to obtain,
[tex](2x-3y) (4x-y) = 2x(4x-y) -3y(4x-y)[/tex]
We expand to get,
[tex](2x-3y) (4x-y) = 8 {x}^{2} -2xy -12xy + 3 {y}^{2} [/tex]
Combine the middle terms to obtain,
[tex](2x-3y) (4x-y) = 8 {x}^{2} -14xy + 3 {y}^{2} [/tex]
Which is a solution for this equation? Log base 2 x = 2 - log base 2 (x - 3)
X = 1
X = 2
X = 3
X = 4
X = 5
Answer: Fourth Option
[tex]x =4[/tex]
Step-by-step explanation:
First we write the equation
[tex]log_2(x) = 2- log_2(x-3)[/tex]
Now we use the properties of logarithms to simplify the expression
[tex]log_2(x)+log_2(x-3) = 2[/tex]
The property of the sum of logarithms says that:
[tex]log_a (B) + log_a (D) = log_a (B * D)[/tex]
Then
[tex]log_2[x(x-3)]= 2[/tex]
Now use the property of the inverse of the logarithms
[tex]a ^ {log_a (x)} = x[/tex]
[tex]2^{log_2[(x)(x-3)]}= 2^2[/tex]
[tex](x)(x-3))}= 4[/tex]
[tex]x^2-3x -4=0[/tex]
[tex]x^2-3x -4=(x-4)(x+1)=0[/tex]
Then the solution are
[tex]x= -1[/tex] and [tex]x= 4[/tex]
We take the positive solution because the logarithm of a negative number does not exist
Finally the solution is:
[tex]x =4[/tex]
What is the product of (-a+3)(a+4)
Answer:
-a^2 -4a +3a +12
-a^2 -1a +12
Step-by-step explanation:
If AB = 2x–8 and AC = x+9, What is the length of BC?
Answer:
17
Step-by-step explanation:
2x-8=x+9
x=17
ANSWER
BC=17 units
EXPLANATION
The given triangle is an isosceles triangle.
We have
AC=AB
This implies that,
[tex]x + 9 = 2x - 8[/tex]
Group similar terms and simplify to get:
[tex]2x - x = 9 + 8[/tex]
[tex]x = 17[/tex]
Side BC is x units. But x=17
Therefore BC is 17 units.
Write an equation for the line that passes through (-8.5,11) and (5,-2.5)
Answer:
The equation is y = -x + 2.5
Step-by-step explanation:
* Lets explain how to solve the problem
- The form of the equation of a line is y = mx + c , where m is the slope
of the line and c is the y-intercept
- The y-intercept means the line intersect the y-axis at point (0 , c)
- The slope of the line which passes through points (x1 , y1) , (x2 , y2)
is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
* Lets solve the problem
∵ The line passes through the points (-8.5 , 11) and (5 , -2.5)
- Let point(x1 , y1) = (-8.5 , 11) and point (x2 , y2) = (5 , -2.5)
∴ x1 = -8.5 , x2 = 5 and y1 = 11 , y2 = -2.5
∴ [tex]m=\frac{-2.5-11}{5-(-8.5)}=\frac{-13.5}{5+8.5}=\frac{-13.5}{13.5}=-1[/tex]
∴ The slope of the line is -1
∵ y = mx + c
∴ y = -x + c
- To find c substitute x and y in the equation by the coordinates of
one of the two points
∵ Point (5 , -2.5) lies on the line
∴ x = 5 at y = -2.5
∵ y = -x + c
∴ -2.5 = -(5) + c
∴ -2.5 = -5 + c
- Add 5 to both sides
∴ c = 2.5
∴ y = -x + 2.5
* The equation is y = -x + 2.5
The slope and y-intercept to get y = -x + 2.5.
The slope is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points. Substituting the given points into the formula, we get m = (-2.5 - 11) / (5 - (-8.5)) = -13.5 / 13.5 = -1.
Next, we use the slope-intercept form of a line, y = mx + b, to find the y-intercept (b). Substituting one of the points and the slope into this equation, for example, (-8.5, 11), gives us 11 = (-1)(-8.5) + b, which simplifies to b = 2.5.
Therefore, the equation of the line is y = -x + 2.5.
The length of segment AB is 9 mm.
Which statements regarding triangle ABC are correct? Check all that apply.
AB is the shortest segment in △ABC.
BC = 18mm
AC = 2AB
AC = BC is the longest segment in △ABC
Answer:
1 and 3
AB is the shortest segment in △ABC.
AC = 2AB
Step-by-step explanation:
Enjoy!!
Answer:
1. AB is the shortest segment in △ABC.
3. AC = 2AB
Step-by-step explanation:
edge24
If sin=3/5 then what does tan equal
Answer:
Not sure if this is correct but maybe it is 34?
Answer: [tex]tan(x)=\±\frac{3}{4}[/tex]
Step-by-step explanation:
You know that [tex]sin(x)=\frac{3}{5}[/tex] and you can identify that. Then:
[tex]sin^2(x)=(\frac{3}{5})^2[/tex]
[tex]sin^2(x)=\frac{9}{25}[/tex]
Remember that:
[tex]cos^2(x)=1-sin^2(x)[/tex]
Then [tex]cos^2(x)[/tex] is:
[tex]cos^2(x)=1-\frac{9}{25}\\\\cos^2(x)=\frac{16}{25}[/tex]
Apply square root to both sides to find cos(x):
[tex]\sqrt{cos^2(x)}=\±\sqrt{\frac{16}{25}}\\cos(x)=\±\frac{4}{5}[/tex]
Remember that:
[tex]tan(x)=\frac{sin(x)}{cos(x)}[/tex]
Then, this is:
[tex]tan(x)=\frac{\frac{3}{5}}{\±\frac{4}{5}}[/tex]
[tex]tan(x)=\±\frac{3}{4}[/tex]
Robert earns $512.75 less than the salary earned by Noel. John earns three times Robert's salary. If the total salary earned by them is $47,645.25, how much salary do Robert earn?
Answer:
$9426.50
Step-by-step explanation:
let noel's salary = x, robert's salary = y and john's salary = z
y = x - 512.75 ..........(1)
z = 3y = 3(x - 512.75) = 3x - 1538.25 ...............(2)
x + y + z = 47645.25..........................(3)
substitute for y and z
x + (x - 512.75) + (3x - 1538.25) = 47645.25
x + x - 512.75 + 3x - 1538.25 = 47645.25
5x = 47645.75 + 512.75 + 1538.25
5x = 49696.25
divide both sides by 5
x = 9939.25 ..... noel's salary
to get robert's salary substitute x in equation 1
y = 9939.25 - 512.75 = 9426.50
y = $9426.50..... robert's salary
Mixed Applications
8. Fernando bought a new watch set
- that includes 5 watch faces and 7
colored bands. From how many
different watches can he choose?.
Using the counting principle, Fernando can choose from a total of 35 different watch combinations, as he has 5 watch faces and 7 colored bands which can be selected independently.
Explanation:The question asks about combinations resulting from 5 watch faces and 7 colored bands, this comes from a mathematical concept known as the counting principle. The counting principle states that if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events together can occur in m × n ways.
So, Fernando can choose from 5 watch faces and 7 colored bands independently. Therefore, the total different combinations of watches he can make is 5 × 7 = 35. Thus, Fernando has 35 different watch combinations to choose from.
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ara buys two items that cost d dollars each. She gives the cashier $20. Which expression represents the change she should receive?
Question 8 options:
a 20 - 2d
b 20 - d
c 20 + 2d
d 2d - 20
Answer:
D
Step-by-step explanation:
URGENT
Which of the following is the graph of y=0.5sec (x+pi/3)-2?
Answer:
See attachment.
Step-by-step explanation:
The given function is
[tex]y=0.5\sec(x+\frac{\pi}{3})-2[/tex]
This is the graph of [tex]y=\sec(x)[/tex] that is shifted down 2 units and shifted to the left [tex]\frac{\pi}{3}[/tex] units.
When x=0, [tex]y=0.5\sec(0+\frac{\pi}{3})-2[/tex]
[tex]y=0.5\sec(\frac{\pi}{3})-2[/tex]
[tex]y=1-2=-1[/tex]
The y-intercept is -1.
The correct choice is shown in the attachment
Answer:
The attached graph is the answer
Step-by-step explanation:
* Lets revise the trigonometry translation
- If the equation is y = A sec(B(x + C)) + D
# Amplitude is A
- The Amplitude is the height from the center line to the peak .
Or we can measure the height from highest to lowest points and
divide that by 2
# period is 2π/B
- The Period goes from one peak to the next
# phase shift is C (positive is to the left)
- The Phase Shift is how far the function is shifted horizontally
from the usual position.
# vertical shift is D
- The Vertical Shift is how far the function is shifted vertically from
the usual position.
- If y = sec(x)
∴ A = 1 , B = 1 , C = 0 , D = 0
- That means the amplitude is 1, the period is 2π, no phase shift
or vertical shift
* Now lets solve the problem
∵ y = 0.5 sex(x + π/3) - 2
∴ A = 0.5
- The 0.5 tells us it will be half times taller than usual,
so Amplitude = 0.5
∴ B = 1
- The period is 2π
∴ C = π/3
- The π/3 means it will be shifted to the left by π/3
∴ D = -2
- The -2 tells us the vertical Shift = -2
* Lets calculate the y-intercept
- To find the y-intercept put x = 0
∴ y = 0.5 sec(0 + π/3) - 2
∵ sec(π/3) = 2
∴ y = 0.5(2) - 2 = 1 - 2 = -1
* Now lets look to the graphs to find the correct answer
- Only one graph has y-intercept is -1
- Look to the attached graph
- There is a vertical shift down 2 units
- There is a horizontal shift to the left by π/3 units
- The amplitude is 1/2 ⇒ (-1.5 - -2.5)/2 = 1/2, where -1.5 and -2.5
are the peak points
- The y-intercept is -1
* The attached graph is the answer
- For more understand look to the attached color graph
- The blue graph is y = sec(x)
- The red graph is y = 0.5 sec(x + π/3) - 2
which products result in a difference of squares?
Answer:
is there an equation?