it’s 321 because whether negative or positive it’s absolute value
1 minus 321 is -320. Since you’re finding the absolute value it’s 320
What equation results from completing the squre and then factoring x^2+10=15
For this case we must complete squares:
[tex]x ^ 2 + 10x = 15[/tex]
We add the square of half the coefficient of the term "x",
[tex](\frac {b} {2a}) ^ 2[/tex] on both sides of the equation:
[tex]x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15[/tex]
According to the perfect square trinomial we have:
[tex](a + b) ^ 2 = a ^2 + 2ab + b ^ 2[/tex]
Rewriting the expression we have:
[tex]a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40[/tex]
ANswer:
[tex](x + 5) ^ 2 = 40[/tex]
Rewrite the following expression in logarithmic form and use that to solve for the variable. Show all work done in this process. 2ex = 6
Answer:
[tex]ln(e^x)=ln(3)[/tex]
[tex]x=1.099[/tex]
Step-by-step explanation:
You have the following exponential expression:
[tex]2e^x=6[/tex]
You need to divide both sides of the equation by 2:
[tex]\frac{2e^x}{2}=\frac{6}{2}\\\\e^x=3[/tex]
Now apply the function Natural logarithm to both sides of the function:
[tex]ln(e^x)=ln(3)[/tex]
Note that now the exponential function is transformed into a logarithmic function.
By definition:
[tex]ln(e^x)=x[/tex] Because the base of the Natural logarithm is the Euler's number "e".
Then you can solve for "x":
[tex]x=ln(3)\\x=1.099[/tex])
Find the volume of the cylinder.
Enter exact answer.
150.72 is the exact answer. Hope this helped!!
Which equation describes the graph?
Answer options:
Y=-|x|+2
Y=-|x|-2
Y=-|x+2|
Y=-|x-2|
Answer:
Y=-|x-2|
Step-by-step explanation:
To find which equation matches the graph, take 1 or 2 values of the line on the graph and enter the X and Y values of those points in the equations to see if they match
One good strategy is to take points that are along the axis. I'll first pick (1,-1) and will use (0,-2) to validate if one equation matches (1,-1) first.
Y=-|x|+2
for (1,-1) => -|1| + 2 = = -1 + 2 = 1 NO, should be -1
Y=-|x|-2
for (1,-1) => -|1| - 2 = = -1 - 2 = -3 NO, should be -1
Y=-|x+2|
for (1,-1) => -|1 + 2| = = -|1 + 2| = -3 NO, should be -1
Y=-|x-2|
for (1,-1) => -|1 - 2| = = -|-1 | = -1 YES
for (0,-2) => -|0 - 2| = = -|-2| = -2 YES
If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?
I (12, -3)
II (-6, -9)
III (-117, 2)
Answer is (-117, 2)
See photo
Final answer:
An isosceles triangle PQR with points P and Q sharing the same x-coordinate requires point R to also have this x-coordinate to have equal PR and QR sides. The y-coordinate of R should be the average of P and Q's y-coordinates. None of the provided options satisfy these conditions.
Explanation:
If we are looking for the coordinates of point R such that triangle PQR is isosceles, we should recall that in an isosceles triangle, two sides are of equal length. We can observe that whatever point we choose for R, one of the equal sides will be either PR or QR because points P and Q share the same x-coordinate (2).
Considering the coordinates of P (2, 7) and Q (2, -3), the vertical distance between P and Q is 10 units. For triangle PQR to be isosceles, the distance from R to either P or Q needs to be the same. This means point R must be horizontally aligned with P and Q to maintain its x-coordinate as 2, while the y-coordinate must be equidistant from P and Q's y-coordinates.
Since point P's y-coordinate is 7, and Q's is -3, the y-coordinate of R must be the average of 7 and -3, which is (7 + (-3))/2 = 2.
Therefore, the coordinates of R should be (2, 2), making triangle PQR isosceles with PR and QR as the equal sides. However, none of the given options (I, II, III) have an x-coordinate of 2, so none of these points could form an isosceles triangle with P and Q according to the given coordinates.
How do I answer this
Answer:
15, 94
Step-by-step explanation:
According to Wikipedia, the population of China is about 1,362,080,000 and the population of the US is about 317,427,000.
Express the population of China in scientific notation.
1.36208 x 10^4, good luck
Please I need help quick!!!
Answer:
18
Step-by-step explanation:
write ham, turky and roast beef and draw 2 arrows from each one, the first one say soup and the second one say salad. Then from each of those draw 3 lines;one saying tea, one saying lemonade and one saying soda. Finaly label every drink by number. So you will have 18 numbers so there is 18 choises.
Patti’s dance class starts at quarter past 4. At what time does her dance class start?
her dance class start at quater past 4
Patti's dance class starts at a quarter past 4, which is 4:15 p.m. This term refers to 15 minutes after the hour.
This question demands basic understanding of clocks and related concepts.
Patti's dance class starts at quarter past 4, which means it starts at 4:15 p.m.. In time telling, a quarter past the hour refers to 15 minutes after the hour mark. So when you're looking at a clock, this would be the time when the minute hand is on the 3 (as there are 60 minutes in an hour and 15 minutes is a quarter of that).
Therefore, as per the above explaination, the correct answer is 4:15 p.m.
Please help !! A rider’s elevation on a Ferris wheel can be modeled by the function y=-16 cos(2pix)+18 where x is the time in minutes and y is the riders elevation in meters.
What is the riders elevation at the top of the Ferris wheel?
How often does the rider reach the reach the elevation?
What is the midline of the function?___what does it represent ?
Answer:
Step-by-step explanation:
Tim Worker receives the following income monthly from a second job.
Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.
$200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150
In dollars and cents the average pay will be?
Answer:
Step-by-step explanation:
$2.770,00. Hello friend, for reach that answer you have to add all values:
200+150+250+260+285+380+200+225+200+250+220+150= 2770.
It will be easier if you do ir by parts, like:
(200+150) + (250+260) + ...
Thank you for asking!
Have a nice day.
The average pay for Tim Worker's second job income monthly is $232.50.
To calculate the average, first, sum up all the monthly incomes:
200 + 150 + 250 + 260 + 285 + 380 + 200 + 225 + 200 + 250 + 220 + 150 = $2970
Next, divide the total income by the number of months (12 in this case) to find the average:
2970 / 12 = $232.50
So, the average monthly income from Tim Worker's second job is $232.50.
To find the average income, you add up all the monthly incomes and then divide by the total number of months. In this case, adding up Tim Worker's monthly incomes gives us $2970. Then, dividing by 12 (the number of months) gives us the average monthly income of $232.50. This method ensures that each month's income contributes equally to the overall average, regardless of fluctuations in individual months. So, despite variations in Tim Worker's monthly income, the average remains consistent at $232.50 per month.
Complete question:
Tim Worker receives the following income monthly from a second job.
Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.
$200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150
In dollars and cents the average pay will be?
Find the inverse of the given function.
For this case we must find the inverse of the following function:
[tex]f (x) = - \frac {1} {2} \sqrt {x + 3}[/tex]
We follow the steps below:
Replace f(x) with y:
[tex]y = -\frac {1} {2} \sqrt {x + 3}[/tex]
We exchange the variables:
[tex]x = - \frac {1} {2} \sqrt {y + 3}[/tex]
We solve for "y":
[tex]- \frac {1} {2} \sqrt {y + 3} = x[/tex]
Multiply by -2 on both sides of the equation:
[tex]\sqrt {y + 3} = - 2x[/tex]
We raise both sides of the equation to the square to eliminate the radical:
[tex](\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2[/tex]
We subtract 3 from both sides of the equation:
[tex]y = 4x ^ 2-3[/tex]
We change y by f ^ {- 1} (x):
[tex]f ^ {- 1} (x) = 4x ^ 2-3[/tex]
Answer:[tex]f ^ {- 1} (x) = 4x ^ 2-3[/tex]
Answer:
[tex]f(x)^{-1}= 4x^{2} -3 [/tex] .
Step-by-step explanation:
Given : [tex]f(x) =-\frac{1}{2}\sqrt{x+3}[/tex].
To find : Find the inverse of the given function.
Solution : We have given
[tex]f(x) =-\frac{1}{2}\sqrt{x+3}[/tex].
Step 1: take f(x) = y
[tex]y =-\frac{1}{2}\sqrt{x+3}[/tex].
Step 2 : Inter change y and x.
[tex]x =-\frac{1}{2}\sqrt{y+3}[/tex].
Step 3 : Solve for y
Taking square both sides
[tex]x^{2} = \frac{1}{4}(y+3)[/tex].
On multiply both sides by 4.
[tex]4x^{2} = (y+3)[/tex].
On subtraction both sides by 3.
[tex]4x^{2} -3 = y[/tex].
Here, [tex]f(x)^{-1}= y[/tex] is inverse of f(x)
[tex]f(x)^{-1}= 4x^{2} -3 [/tex] .
Therefore, [tex]f(x)^{-1}= 4x^{2} -3 [/tex] .
Select the correct answer from the drop-down menu. Find the missing term. On dividing both the numerator and the denominator of by , the result is .
On dividing both the numerator and the denominator of [tex]\frac{20a^2b}{5ab^2}[/tex] by 5b, the result is [tex]\frac{4a}{b}[/tex].
In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Note: Let the variable x represent the unknown expression or missing term.
Based on the information provided, we can logically set up the following mathematical equation:
[tex]\frac{20a^2b}{5ab^2} \div \frac{x}{x} =\frac{4a}{b}[/tex]
Next, we would solve the equation in parts by using the numerators and denominators as follows;
[tex]20a^2b \div x = 4a\\\\\frac{20a^2b}{x} =4a\\\\x4a=20a^2b\\\\x=\frac{20a^2b}{4a} \\\\x=5a\\\\\\\\\frac{5ab^2}{x} =b\\\\xb=5ab^2\\\\x=\frac{5ab^2}{b} \\\\x=5a[/tex]
Complete Question:
Select the correct answer from the drop-down menu.
Find the missing term.
On dividing both the numerator and the denominator of [tex]\frac{20a^2b}{5ab^2}[/tex] by ___, the result is [tex]\frac{4a}{b}[/tex].
Write the equation of a line through points (5,5) and 1,0) in point slope form.
The answer is:
The correct option is the first option,
[tex]y=\frac{5}{4} (x-1)[/tex]
Why?To solve this problem, we need to remember that the point-slope form of a line is given by the following equation:
[tex]y-y_{1}=m(x-x_{1})\\\\y-0=\frac{5}{4}(x-1)[/tex]
We are given two points of the line,
[tex](5,5)\\(1,0)[/tex]
Where,
[tex]x=5\\x_{1}=1\\y=5\\y_{1}=0\\[/tex]
Then, substituting the given points into the equation ,to calculate m (slope), we have:
[tex]m=\frac{y-y_{1}}{x-x_{1}}[/tex]
[tex]m=\frac{5-0}{5-1}=\frac{5}{4}[/tex]
The slope of the function is [tex]\frac{5}{4}[/tex]
Now, substituting "x1" and "y1" and the slope in the point-slope equation, we have:
[tex](y-0)=\frac{5}{4} (x-1)[/tex]
[tex]y=\frac{5}{4} (x-1)[/tex]
Hence, the correct option is the first option,
[tex]y=\frac{5}{4} (x-1)[/tex]
Have a nice day!
Answer:
The correct answer is first option
y = 5/4(x - 1)
Step-by-step explanation:
It is given two coordinates (5, 5) and (1, 0)
To find the slope
Slope = (y₂ - y₁)/(x₂- x₁)
slope = (5 - 0)/(5 - 1) = 5/4
To find the equation
(y - y₁)/(x - x₁) = 5/4
(y - 0)/(x - 1) = 5/4
y = 5/4(x - 1)
The correct answer is first option
The dot plot shows the weights of ten calves, in pounds, born at Robert's farm this year.
What is the mean absolute deviation of the data set given in the dot plot?
A. 5
B. 1.28
C. 1.4
D. 64.2
P.S : I will mark brianliest. If I can, my brianliest don't work all the time. Sorry if I can't :(
Answer:
A. 5
Step-by-step explanation:
you need to bring the dot to the same value like this =10÷2
A company manufactures and sells video games. A survey of video game stores indicated that at a price of $69 each, the demand would be 200 games, and at a price of $39 each, the demand would be 1,100 games. If a linear relationship between price and demand exists, which of the following equations models the price-demand relationship?
(Let x represent the price per video game and y represent the demand.)
(answers are in the snip)
Answer: If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
supply: 324000 = 6p ; p = 324000/6 = 54000
demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696
The equation that models the price-demand relationship is: [tex]\[ y = -30x + 2270 \][/tex]
The correct option is (C).
find the linear equation that models the price-demand relationship based on the given data points.
1. Given Data:
- Price at which demand is 200 games:[tex]\(x_1 = 69\), \(y_1 = 200\)[/tex]
- Price at which demand is 1,100 games: [tex]\(x_2 = 39\), \(y_2 = 1100\)[/tex]
2. Slope Calculation:
The slope (m) of the linear equation can be found using the formula:
[tex]\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{1100 - 200}}{{39 - 69}} = \frac{{900}}{{-30}} = -30 \][/tex]
3. Y-Intercept Calculation:
Using one of the data points [tex](let's use \(x_1 = 69\), \(y_1 = 200\))[/tex]:
[tex]\[ y_1 = mx_1 + b \\ 200 = (-30)(69) + b \\ b = 2270 \][/tex]
4. Linear Equation:
The equation that models the price-demand relationship is:
[tex]\[ y = -30x + 2270 \][/tex]
Therefore, the correct answer is C. (y = -30x + 2270). This equation represents the linear relationship between the price per video game ((x)) and the demand ((y)) based on the given survey data.
How do I Simplify (5x-2)4 using the distributive property?
Answer:
20x - 8
Step-by-step explanation:
using the distributive property to simplify (5x-2)4, you would multiply the outside term (4) by each inside term (5x-2).
for example:
4 × 5x = 20x
4 × -2 = -8
once you distribute the 4 into 5x-2, you are left with 20x - 8 which needs no further simplifying
Answer:
20x - 8Step-by-step explanation:
The distributive property: a(b + c) = ab + ac
(5x - 2) · 4 = 4(5x - 2) = (4)(5x) + (4)(-2) = 20x - 8
Look at the pie chart and table below.
What is the angle for the sector representing Somewhat Agree?
Answer:
150°
Step-by-step explanation:
To calculate the angle
angle = [tex]\frac{xsomewhatagree}{total}[/tex] × 360°
= [tex]\frac{300}{720}[/tex] × 360° (cancel 360 and 720 by 2 )
= [tex]\frac{300}{2}[/tex] = 150°
Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quarters does he have
Answer:
He has 11 quarters
Step-by-step explanation:
* Lets study the information in the problem to solve it
- The value of dimes and quarters is $6.35
- There are dimes and quarters
- The dime = 10 cents
- The quarter = 25 cents
* We must change the money from dollars to cents
∵ $1 = 100 cents
∴ $6.35 = 6.35 × 100 = 635 cents
- The number of dimes = 3 + 3 × number of quarters
* Let number of dimes is D and number of quarter is Q
∴ D = 3 + 3Q
∴ 10D + 25Q = 635
* Substitute the value of D from first equation in the second equation
∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket
∴ 10(3) + 10(3Q) + 25Q = 635
∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms
∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides
∴ 55Q = 605 ⇒ divide both sides by 55
∴ Q = 11
* He has 11 quarters
28 is what percent to 31
if we take 31 to be the 100%, what is 28 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 31&100\\ 28&x \end{array}\implies \cfrac{31}{28}=\cfrac{100}{x}\implies 31x=2800\implies x=\cfrac{2800}{31} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x\approx 90.32~\hfill[/tex]
WILL GIVE BRAINLEST FOR ALL ANSWERED
Square root 36/81 simplified
1.1/3
2.2/3
3.3/3
4.4/3
Square root 121/144 simplified
1.1/12
2.5/12
3.7/12
4.11/12
SR 64/100 simplified
1.1/5
2.2/5
3.3/5
4.4/5
SR 4/9 simplified
1.1/3
2.2/3
3.3/3
4.4/3
Answer:
1. 2/3
2. 11/12
3. 4/5
4. 2/3
Step-by-step explanation:
Write an equation of the line that passes through (2, -2) and is parallel to the line y=3x+9 . An equation of the parallel line is y=
Answer:
y = 3x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 9 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (2, - 2) into the partial equation
- 2 = 6 + c ⇒ c = - 2 - 6 = - 8
y = 3x - 8 ← equation of parallel line
Please help, not understanding!
Answer:
9 weeks.
Step-by-step explanation:
We need to find about how many weeks (w) it will take before Factory B has printed as many books (b) as Factory A.
In other words we need to find the value of week (w) when number of books from both factories are equal.
so set both equation equal
[tex]50w+650=100w+200[/tex]
[tex]50w-100w=200-650[/tex]
[tex]-50w=-450[/tex]
[tex]w=\frac{-450}{-50}[/tex]
[tex]w=9[/tex]
Hence final answer is 9 weeks.
It’s says factory a has printed 650 books and prints200 books just divide
A binomial event is one where there are 3 possible outcomes. A.True B.False
B. False
Bi = 2
Binomial = 2 possible outcomes
umm . . . what ?????????
I think that the answer is B.
Answer:
if u asked maybe a little nicer. UMM NO
Step-by-step explanation:
The probability of winning a prize from a scratch
off card is 60%. A sample of 30 cards is taken.
What is the standard error of the proportion,
rounded to the nearest thousandth?
Answer:
The standard error of the proportion is
[tex]E=0.089[/tex]
Step-by-step explanation:
Assuming that the size of population N is large enough, and with a sample [tex]n = 30[/tex], so that:
[tex]\frac{n}{N}\leq0.05[/tex] then the standard error of the proportion is:
[tex]E = \sqrt{\frac{p(1-p)}{n}}[/tex]
Where
[tex]n = 30\\\\p= 0.6\\\\E = \sqrt{\frac{0.6(1-0.6)}{30}}\\\\E =\sqrt{\frac{0.6(0.4)}{30}}\\\\E=\frac{\sqrt{5}}{25}=0.089[/tex]
PLEASEEEEEEEEEEEEEEEEEEEEE answer this today thank u
Answer:
see explanation
Step-by-step explanation:
f(x) × g(x)
= 11(123x - 40) ← distribute
= 1353x - 440
Substitute x = - 4 into the product
= (1353 × - 4) - 440
= - 5412 - 440
= - 5852
Find the volume of the square pyramid shown. Round to the nearest whole number. The diagrams are not drawn to scale.
the formula is 1/3 area of the base times height so
14*14=106
196*6=1176
1176/3=392
392cm^3 is the anwser
Answer:
Option A. 392 cm³
Step-by-step explanation:
Formula to get the volume of a pyramid is
[tex]V=\frac{1}{3}(l)(w)(h)[/tex]
Here l = length of the base
w = width of the base
h = height of the pyramid
From the figure attached
l = w = 14 cm
h = 6 cm
Therefore, [tex]V=\frac{1}{3}(14)(14)(6)[/tex]
V = 14×14×2 = 392 cm³
Option A. 392 cm³ is the answer.
It costs $19.00 to purchase 2 pounds of coffee and 3 pounds of tea. While it is $41.50 to purchase 5 pounds of coffee and 6 pounds and tea . how much per pound is the price of coffee?
It would be $3.5 per pound for the coffee and $4 per pound for tea.
Final answer:
The cost per pound of coffee is found to be $3.50 by setting up two equations from the given information and solving for the price of coffee.
Explanation:
To find out the price per pound of coffee, we need to set up two equations based on the given information and solve them using the method of substitution or elimination. Let's assume C is the cost per pound of coffee and T is the cost per pound of tea.
The first situation gives us the equation:
2C + 3T = $19.00
The second situation gives us the equation:
5C + 6T = $41.50
We can multiply the first equation by two, which gives:
4C + 6T = $38.00
By subtracting this equation from the second equation, we get:
(5C + 6T) - (4C + 6T) = $41.50 - $38.00
This leaves us with:
C = $3.50
Therefore, the cost of coffee per pound is $3.50.
If x = 8 units, y = 5 units, and h = 3 units, then what is the area of the parallelogram shown above?
A. 40 square units
B. 26 square units
C. 24 square units
D. 15 square units
I will give crown to best answer
The answer is C 24 square units.
Hope this helps!
Answer:
The answer is C.24 square units.
Step-by-step explanation: