Answer:
Step-by-step explanation:
the absolute value bars mean we ignore the sign of the variable
As (a) is always positive for a>0, |a| = a
For contrast, If the range were a<0 where (a) is always negative, then |a| = -a
Answer:
1/a > 0
Step-by-step explanation:
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
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a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances.
Answer:
Step-by-step explanation:
x² + (x + 17)² = 25²
x² + x² + 34x + 289 = 625
2x² + 34x - 336 = 0
x² + 17x - 168 = 0
x = (-17 ±√(17² - 4(1)(-168))) / (2(1))
x = 7 or - 24 the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft
base = 7 ft
height = 24 ft
An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Se mezcla café del tipo A de 6 €/kg con café del tipo B de 4,5 €/kg para obtener una mezcla de 60 kg a 5 €/kg. ¿Cuántos kilogramos de café debemos tomar de cada tipo?
negative seven times a number is negative two hundred forty five. what is the number?
pleasee i need help
Answer:
35
Step-by-step explanation:
since i couldn't answer before
Would love it if your able to help me :)
Answer:
x = 2.83163
Step-by-step explanation:
Have a nice day!
and if you have questions on how I found it please ask.
Will give brainliest if helpful and correct
Answer:
(-2, -1.5)
Step-by-step explanation:
hope this helps!
The scale for a map to actual distance is 2 centimeters to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 5.4 centimeters. What is the actual distance, in miles, between Los Angeles and Las Vegas?
[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]
Solve | x+4| -5=6
A. x= -7 and = -15
B = 7 and = -7
C. x = 7 and = -15
D. x = -7 and = 15
Answer:
b
Step-by-step explanation:
cual de estas fracciones es mayor que 2/5?explica como lo has averiguado
Answer:
33333
Step-by-step explanation:
One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
How many numbers are prime between 40 and 50?
Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
Which expression is equivalent to 4 (5X + 3y)
Answer:
20x + 12y
Step-by-step explanation:
=> 4(5x + 3y)
=> 20x + 12y
Since we can't simplify this further, 20x + 12y is out answer.
Hoped this helped.
Simplify the linear expression
-5/8a+2/3-1/4a-5/6
Enter your answer as simplified fractions in the boxes.
Answer:
[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.
In the board game Clue, the object of the game is to determine the which character is the murderer, which weapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestick in the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomes are possible?
Answer: 324 different outcomes
Step-by-step explanation: Multiply all of the possibilities together to get the total amount of outcomes. 6 * 6 * 9 = 324
Would appreciate a brainly <3
2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?
Answer:
1 11/12 cups of water
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answer:
(a) a function, but not one-to-one
Step-by-step explanation:
The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.
The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.
__
Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).
The graph is a function, but not one-to-one.
Nina brought 25 cupcakes to school for her friends. There were two flavors, chocolate and vanilla. For every 2 chocolate cupcakes she brought, Nina brought 3 vanilla cupcakes.
How many vanilla cupcakes did Nina take to school? Explain.
The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes
We are given;
Number of cake Nina bought for her friends = 25 cupcakes
There are two flavors namely chocolate and vanilla.
Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;
Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5
Fraction of vanilla cupcakes of the total = 3/5
Thus;
Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes
Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes
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consider the system of equations. which shows an equivalent system of equations?
see attatched
Answer:
A.
Step-by-step explanation:
All choices show the first original equation.
Each choice shows a different second equation.
Take the second original equation:
6x + 5y = 30
Multiply both sides by -5.
-30x - 25y = -150
Answer: A.
What is the answer to 4/5w = 8
Answer:
w = 10
Step-by-step explanation:
[tex]\frac{4}{5}w=8~(Given)\\\\\frac{5}{4}(\frac{4}{5}w)=\frac{5}{4}(8)~(Multiply~5/4~on~both~sides)\\\\w=10~(Simplify)[/tex]
Answer:7 1/5
Step-by-step explanation:
-4/5 on each side
'and you get w= 7 1/5
Select the statements which could describe the graph of a nonproportional relationship.
Answer:
what it says iiiiiiii888i888iiiii
Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?
1.8.3 practice - functions
3. Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.
Answer:
A. C(F) = 5/9F -(17 7/9)
B. slope: 5/9
C. y-intercept: -17 7/9
Step-by-step explanation:
A.The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...
(F, C) = (32, 0) and (212, 100)
The slope can be found from the slope formula:
m = (y2 -y1) / (x2 -x1)
m = (100 -0)/(212 -32) = 100/180 = 5/9
The y-intercept can be found from the slope-intercept equation for a line:
y = mx +b
b = y -mx
Using the first point, we have ...
b = 0 -(5/9)(32) = -160/9 = -17 7/9
Using the found values for m and b, the slope-intercept equation can be written ...
C(F) = 5/9F -(17 7/9)
__
B.The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.
__
C.The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.
có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD
Answer:
4 better inbox
Step-by-step explanation:
What is negative 10 divided by .22
Answer:
That would be negative 45 or - 45
Please correct me if im wrong
find the slope from the pair of the points
(-3,-4) (1,5)
Answer:
2.25
Step-by-step explanation:
m = 9 / 4 = 2.25
points belong to an increasing, linear function.
Equation: y = 2.25x + 2.75.
BRAINLIEST?
What is the equation for the line in slope-intercept form?
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answer:
1 oz = 29.574 ml
16 oz = About 480 ml, so, yes, the answer is C.
Step-by-step explanation:
A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?
Answer:
$0.46
Step-by-step explanation:
6 apples = $2.82
1 apple = 2.82 / 6
= $0.46
I need answers to all of these and explanation as well. Thank you.
4) d
let's firstly convert the mixed fractions to improper fractions, and then proceed
[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]
[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]
5)
hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]
