Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)
Step-by-step explanation:
Pure acid is to be added to a 10% acid solution to obtain 90L of 81% solution. What amounts of each should be used?
How many liters of 100% pure acid should be used to make the solution?
Answer:
Step-by-step explanation:
let X be the quantity of 100% acid
let Y be the quantity of 10% acid
X + Y = 90
Y = 90 - X
X(100) + Y(10) = 90(81)
X(100) + (90 - X)(10) = 90(81)
100X + 900 - 10X = 7290
90X = 6390
X = 71 L
Put the following capacities in order from smallest to largest. 0.1 l 0.5 l 1000 ml 10 ml 15 cl
Answer:
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
Step-by-step explanation:
m is an SI prefix for milli-, meaning 1/1000.
c is an SI prefix for centi-, meaning 1/100.
Expressed in liters, these volumes are ...
0.10 l
0.50 l
1000/1000 l = 1.00 l
10/1000 l = 0.01 l
15/100 l = 0.15 l
In order from smallest to largest, they are ...
0.01 l, 0.10 l, 0.15 l, 0.50 l, 1.00 l
In the original units, the order is ...
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?
Answer:
672 sq cm
Step-by-step explanation:
Each triangular base is 1/2 (12 * 8) or 48, making them = 96.
One of the sides is 12 x 18 = 216
The other 2 sides are 10 x 18 = 180 x 2 = 360
Add them all together to get 672 sq cm
Un
número formado por 22 centenas,
515 unidades 1765 décimas, ¿cuantas
milésimas tiene?
Hay cero milésimas en los parámetros dados.
El valor posicional se refiere al valor representado por un dígito en un número sobre la base de su posición en el número.
De los parámetros dados:
22 centenas ⇒ 2200515 unidades ⇒ 5151765 décimas ⇒ 176.5Si sumamos los valores juntos, podremos determinar la cantidad de milésimas que tenemos:
= 2200+515+176.5
= 2891.5
Por tanto, podemos concluir que hay cero milésimas en los parámetros.
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Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
Answer:
First take 5 empty. Digits.The no of digits are 9 (1-9).The last no must be even so . The total no of even no’s . Are 4 (2,4,6,8)The probability of last digit is 4There are remaing 8 digits so. Place them where. U required. The probability are. 8, 7,6,5(no reputations)The final answer is 4*8*7*6*5=6720 waysAnswer:
0.444 (44.4%)
Step-by-step explanation:
All possible ending: 1,2,3,4,5,6,7,8,9 ... 9
ending with 2,4 6,8 to make even number: 4
___ ___ ___ ___ ___
even number : 8 * 7 * 6 * 5 * 4
All 5 digit without repeating: 8 * 7 * 6 * 5 * 9
possibility = (8*7*6*5*4) / (8*7*6*5*9)
= 4/9
= 0.444 (44.4%)
_______________________________________________
(4 * ₈P₄) / (9 * ₈P₄) = 4/9
Which of the following tables represents a function?
A) x 1 −1 4 −4
y 8 8 10 10
B) x 2 2 3 3
y 6 −6 7 7
C) x 5 −5 5 −5
y 10 11 12 13
D) x 2 2 7 7
y 2 3 4 5
The only table that represents a function is table A
For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.
This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.Hence the only table that represents a function is table A
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In 2004 5,545 woman were participating in college lacrosse and in 2008 6,830 woman joined was is the rate of change
Answer:
321.25 per year
Step-by-step explanation:
In 2004 they had 5,545
In 2008 they had 6,830
Subtract them both and you get 4 years, 1285 people
Divide 1285 by 4 and get 321.25 per year.
If a = 0.3 and b =0.5, what is the value of a+b?
A. [tex]\frac{8}{10}[/tex]
B. [tex]\frac{8}{9}[/tex]
C. [tex]\frac{80}{99}[/tex]
D. [tex]\frac{88}{100}[/tex]
Answer=
D
Step-by-step explanation
because of the dot/line at the top of the number it means it is a continuous same number
for example, 0.3 with a dot/line on top means it is 0.333333...
so 0.55...+0.33...=0.88...
and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100
A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?
Answer: yes
Step-by-step explanation:
Which triangle is a 30°-60°-90° triangle?
Answer:
-90
Step-by-step explanation:
it's right
Answer:
The first one.
Step-by-step explanation:
I took the quiz and got a 100, hope this helps :))
if 3t+p = k then t is equal to what?
Answer:
Here is your answer hope I helped! <3
Step-by-step explanation:
t=k/3-p/3
A line with a slope of 3 passes through the point (0, -10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]
Planet Q Is 3.6 x 10^6km
Planet R Is 1.6 x 10^7km
What Is The Shortest Distance Between Planet Q And R (Answer In Standard Form)
I've Been Stuck On This Question For A Vast Amount Of Time.
Answer:
1.64×10⁷ km
Step-by-step explanation:
We know this is a triangle rectangle, so we apply the Pythagorean Theorem
QR=sqrt(PR²+PQ²)
Solving it, we will encounter in
sqrt(2.56×10¹⁴+1.296×10¹³)
to solve it, we need to bring the two numbers at the same power of ten, so we move 1.296 of one place to the left:
sqrt(2.56×10¹⁴+0.1296×10¹⁴)
we can now add the two numbers:
sqrt(2.6896×10¹⁴)
to solve this, we do the square root of 2.6896 and divide 14 by two (the index of the root is 2, so for roots' properties we can divide 14 by 2 - the index)
which gives us
1.64×10⁷
How many terms does the expression 14 + 9 have? What are they? Explain how you know.
Answer:
23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.
Step-by-step explanation:
Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.
Number be x
#1
[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]
#2
[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]
#3
[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]
#4
[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]
#5
[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]
#6
[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]
#7
[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]
A new health drink has 190% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamins are in the drink?
There is 95mg of vitamins in the drink
Percentages and proportionIf a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.
The amount of milligrams of the vitamins in the drink is expressed as shown:
A = 190 % of 50mg
A = 1.9 * 50
A = 95mg
Hence there is 95mg of vitamins in the drink
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Answer:
There is 95mg of vitamins in the drink
What of the following exponential functions is represented by the data in the table?
A) f(x)=(1/3)^3
B) f(x)=3^x
C) f(x)=x^3
D) f(x)=x1/3
Answer:
f(x) = ( 1/3) ^ (x)
Step-by-step explanation:
The function is
f(x) = (1/3) ^ (x)
When x = 1 f(x) = 1/3
when x=2 f(x) = 1/9
When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3
Answer:
f(x)=(1/3)^x
Step-by-step explanation:
Plug in the given values of x in the function above and match the answers with f(x) which is y.
A can has a radius of 1.5 inches and a height of 3inches. Which of the following best represents the volume of the can .
The expression which best represents the volume of the can in discuss as evaluated from the formula; V = π r² h and as required is; 6.75π.
What is the volume of the can as described?It follows from the task content that the volume of the can whose radius is; 1.5 inches and height is; 3 inches is to be determined.
It is noteworthy to know that the volume of a can often the shape of a cylinder is given by the formula;
Volume, V = π r² h.
where, radius, r = 1.5 in.
height, h = 3 in.
Therefore, we have that the volume of the can can be evaluated as;
Volume, V = π × ( 1.5 )² × 3
Volume, V = 6.75 π.
On this note, the best representation of the volume of a can having dimensions as described is; 6.75π.
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What percent of 111 is 94?
Answer:
I’d say 84.68%
which inequality matches the graph?
A. x>4
B. x<4
C. x=4
D. x >4
Answer:
B
Step-by-step explanation:
The line goes left which means its going to be less than 4.
Answer:
[B] x < 4
Step-by-step explanation:
First you must know the following:
> ⇒ greater than
< ⇒ less than
≥ ⇒ greater than or equal to
≤ ⇒ less than or equal to
= ⇒ equal
When going to the left it means less than
Thus, we can conclude that
x < 4
Kavinsky
A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?
Answer:
The answer is 11
Step-by-step explanation:
hope this helps a little bit
can someone please explain this question
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be, in dollars and cents, on a $66 meal?
what is equivalent to 1 and 5/6?? and what is 3 and 1/6 equivalent to?
Answer: 1.833 and 3.167
Step-by-step explanation:
1 and 5/6 is demonstrated with this equation:
[tex]1 + \frac{5}{6} , \\\\\frac{6}{6} + \frac{5}{6} = \frac{11}{6} = 1.833\\[/tex]
3 and 1/6 is demonstrated with this equation:
[tex]3 + \frac{1}{6}, \\\\\frac{18}{6} + \frac{1}{6} = \frac{19}{6} = 3.167[/tex]
Find m
∠
J
L
K
∠JLK.
Answer:
m∠JLK° = 62°
Step-by-step explanation:
∠JLK = ∠KJL
SO
56°+2(∠JLK)° = 180°
2(∠JLK)° = 180-56
2(∠JLK)° = 124
∠JLK° = 62°
so m∠JLK° = 62°
Answer:
m∠JLK = 62°
Step-by-step explanation:
180 - 56 = 124
124 ÷ 2 = 62
How many times do 5 go into 32
Answer:
6 times or 6.4
5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square
that produce a minimum total area.
The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
Represent the side length of the square with s, and the radius of the circle with r.
So, the perimeter (P) and the area (A) of the shape are:
[tex]P =4s + 2\pi r[/tex]
[tex]A =s^2 + \pi r^2[/tex]
The perimeter is 16. So, we have:
[tex]4s + 2\pi r = 16[/tex]
Divide through by 4
[tex]s + 0.5\pi r = 4[/tex]
Make s the subject
[tex]s = 4 - 0.5\pi r[/tex]
Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]
[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]
Expand
[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]
This gives
[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]
Differentiate with respect to r
[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
Set to 0
[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]
Add 4pi to both sides
[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]
Divide both sides by 2
[tex](0.25\pi^2 + \pi )r =2\pi[/tex]
Make r the subject
[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]
Factor out pi
[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]
Cancel out the common factors
[tex]r =\frac{2}{0.25\pi + 1 }[/tex]
Express pi as 3.14
[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]
[tex]r =\frac{2}{1.785}[/tex]
Divide
[tex]r =1.12[/tex]
Recall that:
[tex]s = 4 - 0.5\pi r[/tex]
This gives
[tex]s =4 -0.5 \times \pi \times 1.12[/tex]
This gives
[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]
[tex]s =2.24[/tex]
Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
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Elton has 2 jobs and can work at most 32 total hours per week. He makes $9.00 per hour as a dog walker and $10.00 per hour as a store clerk. He wants to earn a minimum of $200 per week. Which is system of inequalities can be solved to find the possible combination of hours worked at each job that will help him to reach his goal?
Answer:
3-4 days
Step-by-step explanation:
So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!
2x+7y+7x=18
Find the value of Y
Answer:
y=−9/7x+18/7
Step-by-step explanation:
2x+7y+7x=18
9x+7y=18
Step 1: Add -9x to both sides.
9x+7y+−9x=18+−9x
7y=−9x+18
Step 2: Divide both sides by 7.
7y/7=−9x+18/7
y=−9/7x+18/7
Given :
2x + 7y + 7x = 18To Find :
The value of ySolution :
[tex]\qquad { \dashrightarrow \: { \sf{2x + 7y + 7x = 18}}}[/tex]
Adding the like terms :
[tex]\qquad { \dashrightarrow \: { \sf{ 7y + 9x = 18}}}[/tex]
Transposing 9y to the other side which then becomes negative :
[tex]\qquad { \dashrightarrow \: { \sf{ 7y = 18 - 9x}}}[/tex]
Dividing both sides by 7 :
[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{7y}{7} = \dfrac{18 - 9x}{7} }}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ y = \dfrac{18 - 9x}{7} }}}[/tex]
⠀
Therefore, the value of y = 18 – 9x/7 .
Rewrite (7/9) ^-1 without an exponent
Answer:
(9/7)^1
Step-by-step explanation:
(7/9)^-1
use rule a^-b = 1/a^b
som
1/(7/9)^1
(9/7)^1