Answer:
[tex]k = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]p = 12[/tex]
[tex]t = 2[/tex]
[tex]s = \frac{1}{6}[/tex]
[tex]r = 18[/tex]
[tex]r\ \alpha\ p\ * \frac{1}{s * t}[/tex]
Required
Find the constant of variation
From the question, the variation is as follows
[tex]r\ \alpha\ p\ * \frac{1}{s * t}[/tex]
[tex]r\ \alpha\ \frac{p * 1}{s * t}[/tex]
[tex]r\ \alpha\ \frac{p}{s * t}[/tex]
Convert variation to equation
[tex]r\ = k\frac{p}{s * t}[/tex]
Where k represents the constant of variation
Make k the subject of formula;
Multiply both sides by s * t
[tex]r * s * t = k\frac{p}{s * t} * s * t[/tex]
[tex]r * s * t = kp[/tex]
Divide both sides by p
[tex]\frac{r * s * t}{p} = \frac{kp}{p}[/tex]
[tex]\frac{r * s * t}{p} = k[/tex]
[tex]k = \frac{r * s * t}{p}[/tex]
Substitute the values of p, r, s and t in the above equation
[tex]k = \frac{18 * \frac{1}{6} * 2}{12}[/tex]
[tex]k = \frac{6}{12}[/tex]
Divide numerator and denominator by 6
[tex]k = \frac{1}{2}[/tex]
Hence, the constant of variation is; [tex]k = \frac{1}{2}[/tex]
Answer:
b
Step-by-step explanation:
50 points!!! What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
Answer:
-2
Step-by-step explanation:
each number is being multiplied by -2 to get to the next number
A. -4/2 but if you factor it it will be -2
21. The difference between two numbers is 29. If five times the smaller is subtracted from twice the larger,
the result will be one. What is the larger number?
Answer: 48
Step-by-step explanation:
We have to write a system of equations:
The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.
y-x =29
If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)
The result will be one
2y-5x =1
Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:
2y -2x = 58
-
2y-5x =1
__________
3x =57
Solve for x:
x =57/3 =19
Replacing the value of x on any equation:
y-x =29
y-19 =29
y = 29+19 = 48
48 (y)> 19(x)
Feel free to ask for more if needed or if you did not understand something.
WILL AWARD BRAINLIEST
What is the value of a?
Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $
A common fraction is a fraction whose denominator is the same with another fraction.
[tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
The expression is given as:
[tex]$\sqrt{x} \div\sqrt{y}[/tex]
Express as fraction
[tex]$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}[/tex]
Rewrite as a common fraction
[tex]$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}[/tex]
Hence, [tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
Read more about common fractions at:
https://brainly.com/question/8672817
Which input value produces the same output value for
the two functions on the graph?
O x= -1
O x=0
O x= 1
O x=2
Answer:
x=1
Step-by-step explanation:
it is the point of intersection of both lines which (1,1)
for x=1 both produce same value i.e.,1
1/4 of a pipe is white , 1/2 part of the remaining is blue. If the remaining part is black and the length of this black part is 5 1/4cm, find the length of the pipe.
Answer: 14 cm
Step-by-step explanation:
First take out 1/4 of the pipe, the portion that is white. Then, half of three quarters of the pipe is blue. 1/2 of 3/4 is 3/8. 3/8(blue) + 2/8(white) = 5/8. Thus, 3/8 of the pipe is black. Thus, take 5.25(The length of the black portion) and multiply it by 8/3(reciprocal of 3/8) to get 14.
Hope it helps <3
(If it does, please give brainliest, only need 1 more for rank up :) )
which two of the following have the same value as 4.032?
Answer:D
Step-by-step explanation:
It’s D for sure
Answer:
A and D
Step-by-step explanation:
A. four and thirty-two thousandths. B (4 x 1) + ( 3 x 1/10) + ( 2 x 1/100). C. 4 ones + 3 tenths + 2 hundredths. D. 4 + 0.03 + 0.002
(These are the options for reference.) -->
We first need to know that, 4 = ones 0 = tenths 3 = hundreths 2 = thousandthsSo, let's look at A. --> four and thirty-two thousandths --> we immediately know and this is correct as 1 because it says 4, and thirty-two thousandths = 0.032 so 4 + 0.032 = 4.032 and thus, it is correct
B. --> (4x1) + (3x1/10) + (2x1/100) => 4 + 3/10 + 2/100 = 4.32 so B. is incorrect.
C. --> 4 ones + 3 tenths + 2 hundredths = same as above, 4.32 so C. is incorrect as well.
D. --> We know this has to be correct because the question says which of the following 2 not 1 have the same value as 4.032 and -->
thus, A and D are our answers.
Hope this helps!
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x
Answer:
x+y:
16<x+y<19
y-x:
3<y-x<6
xy:
60<xy<84
y/x:
10/7<y/x<2
Step-by-step explanation:
For x+y, it'll be
6<x<7
+
10<y<12
=16<x+y<19
____
y-x:
10<y<12
--
6<x<7
because of the negative sign the x inequality is reversed so it is -7<x<-6
and then you do the math and get 3<y-x<5
________
xy:
10<y<12
x
6<x<7
you multiply and get 60<xy<84
________
y/x:
10<y<12
divided by
6<x<7
now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6
Please give me a brainliest award. This took so long. I hope this helped.
Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].
The solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, ...,4.9\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Given that:
[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]
To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.
[tex](6 < x < 7) + (10 < y < 12)[/tex]
This gives:
[tex]6 + 10 < x + y < 7 + 12[/tex]
[tex]16 < x + y < 19[/tex]
This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:
[tex]x + y= \{17,18\}[/tex]
To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.
[tex](10 < y < 12) - (6 < x < 7)[/tex]
This gives:
[tex]10 - 6 < y - x < 12 - 7[/tex]
[tex]4 < y - x < 5[/tex]
This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:
[tex]y - x = \{4.5, ...,4.9\}[/tex]
To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.
[tex](6 < x < 7) \times (10 < y < 12)[/tex]
This gives:
[tex]6 \times 10 < x \times y < 7 \times 12[/tex]
[tex]60 < x \times y < 84[/tex]
[tex]60 < xy < 84[/tex]
This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:
[tex]xy = \{61,62,...83\}[/tex]
To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.
[tex](10 < y < 12) \div (6 < x < 7)[/tex]
This gives:
[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex]
This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:
[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Hence, the solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, 4.9...\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Read more about inequalities:
https://brainly.com/question/20383699
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
On a piece of paper, graph y < 3/4x + 2. Then determine which answer choiceu
matches the graph you drew.
Answer:
Graph A is the answer
Step-by-step explanation:
Graph A is correct.
We have an inequality -
[tex]y < \frac{3x}{4}+2[/tex]
We have to graph this inequality and select the correct option.
What is inequality?Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.
We have in our question an inequality as -
[tex]y < \frac{3x}{4}+2[/tex]
Follow the following steps to reach the graph -
STEP 1 ->
Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]
which is same as y = mx + c.
On comparing : m = [tex]\frac{3}{4}[/tex] and c =2.
Therefore, this line intersects the y - axis at the point (0, 2).
STEP 2 ->
Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -
0 < 0 + 2
0 < 2, which is true.
We will shade the area in which (0,0) lies.
STEP 3 ->
Since the inequality is a strict inequality, the line will be a dotted line.
Hence, Graph A is correct.
To solve more questions on plotting the graphs of inequality, visit the link below -
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What is the additive inverse of the polynomial? -7y2+x2y+-3xy-7x2
Answer:
The addidtive inverse is 7y²- x²y - 3xy + 7x²
( here we need to change the sign of each of the term )
Answer:
7y2-x2y+3xy+7xy
Step-by-step explanation:
I got it right
what is 2+3. if not answer get band
Answer:
5
hope your like this a swer
stay at home stay safe
bye bye
pls mark me as BRAINLIEST
Answer:
5
Step-by-step explanation:
If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.
A radio station had 120 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
Step-by-step explanation:
If the tickets given to employees = 40
Then tickets given to listeners = 2 x no of employees tickets
= 2 x40 = 80
Total tickets = 40+ 80 = 120
A polynomial has been factored below, but some constants are missing.
Answer:
From the information in the problem, the value of a is 2, the value of b is 2, and the value of c is -6.
Step-by-step explanation:
The first thing we have to do is factor the equation in order to find the value of a, b, and c.
2x³ - 8x² - 24x
Find a common factor that can be easily divisible among all the terms. This common factor is 2x. Factor the equation.
2x(x² - 4x - 12)
Now, we have to factor out the equation in the parentheses. we do this by multiplying the first term by the last term first. Since there is no coefficient number for x², then we assume this number to be 1.
1 × -12 = -12
Now, we have to find two numbers that multiply to get -12 but add together to get -4. These numbers are 2 and -6. Let's plug these numbers into the equation.
2x(x² + 2x - 6x - 12)
Group the first and second terms together and group together the third and last term together in the parentheses.
2x((x² + 2x) + (-6x - 12))
Factor the equation in parentheses.
2x(x + 2)(x - 6)
So, the value of a is 2, the value of b is 2, and the value of c is -6.
Does this table represent a function ?why or why not ?
Answer:
Yes, because every x value corresponds to exactly one y value
Step-by-step explanation:
To be a function each x has to go to only one y
There is a one to one correspondence so this is a function
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
Brittney is making a graph of the exam scores in intervals of ten for a group of students. Which type of graph would be the most appropriate for Brittney to use? A. line graph B. Venn diagram C. histogram D. circle graph
Answer: she needs histogram.
Answer: Brittney needs a Histogram.
Solve the following equation (for x) using inverse operations:
-4x + 6 = 2x + 36
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
[tex]-4x + 6 = 2x + 36[/tex]
Add -2x and -6 on both sides.
[tex]-4x + 6-2x-6 = 2x + 36-2x-6[/tex]
[tex]-4x-2x=36-6[/tex]
Combine like terms.
[tex]-6x=30[/tex]
Divide both sides by -6.
[tex]\frac{-6x}{-6} =\frac{30}{-6}[/tex]
[tex]x=-5[/tex]
Answer:
x = -5
Step-by-step explanation:
Group like terms together: On the right side we get 2x + 4x = 6x. On the left side we get 6 - 36 = - 30.
Then 6x = -30, and x = -5.
. (01.05) 1.Write the equation of a line with a slope of 4 and a y-intercept of −3. (2 points) A- 4x + y = −3 B-4x − y = −3 C- y = −3x + 4 D- y = 4x − 3 2. (01.05) Write the equation of the line that passes through (−1, 5) and has a slope of 3 in point-slope form. (2 points) A- x + 1 = 3(y − 5) B- x − 5 = 3(y + 1) C- y − 5 = 3(x + 1) D- y + 1 = 3(x − 5) 3. (01.05) Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) A- y = 3x + 2 B- y = 3x + 8 C- y = −3x − 2 D- y = −3x + 8
Answer:
The correct option is 4.
Step-by-step explanation:
Step-by-step explanation:
The slope intercept form of a line is
.... (1)
where, m is slope and b is y-intercept.
We need to find the equation of line whose slope is 4 and y-intercept is -3.
Substitute m=4 and b=-3 in equation (1), to find the equation of required line.
The equation of required line is y=4x-3.
Therefore the correct option is 4.
In the figure, which of the following are collinear points? Question 14 options: A) ACF B) HDG C) AEG D) GBJ
Answer: B )HDG This is the answer stay safe.
Answer:
b. HDG
Step-by-step explanation:
Three or more points that lie on the same line are collinear points. The points D is on the same line as H and G.
So the anwser would be B.
What’s the solution to 12x + 2 > 14
Answer:
x>1
Step-by-step explanation:
12x+2>14
12x>12
x>1
Answer:
x > 1
Step-by-step explanation:
12x + 2 > 14
Subtract 2 on both sides.
12x > 14 - 2
12x > 12
Divide 12 into both sides.
x > 12/12
x > 1
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
Assume a fair deck of playing cards. Find the probability of drawing a 10, replacing it and drawing an ace.
Answer:
There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.
There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.
Probability = 16 / 2704 = 1 / 169
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
How far does the first-base player need to throw the ball so it will reach third base?
Write your answer correct to two decimal places.
Answer:
c = 90
Step-by-step explanation:
Answer:
127.28 (2dp)
Step-by-step explanation:
Using Pythagorean Theorem:
[tex]a^2+b^2=c^2\\90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\c=\sqrt{16200}\approx127.279221\\127.28[/tex]
The transitive property of angle congruence states that if ________ ≅ ∠QRS and ∠QRS ≅ ∠PQR, then ∠XYZ ≅ ∠PQR . A) ∠XQR B) ∠QRS C) ∠PQR D) ∠XYZ
Answer:
The correct answer is <XYZ
Step-by-step explanation:
Just took the quiz
Answer:
<XYZ
Step-by-step explanation:
What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30
Answer:
C
Step-by-step explanation:
Standard form is f(x) = ax² + bx + c.
f(x) = -(x - 4)² + 2
= -(x² - 8x + 16) + 2
= -x² + 8x - 16 + 2
= -x² + 8x - 14
Hi,
the correct answer is C
This is the correct equation: f(x) = -x^2 + 8x - 14
XD
P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)
Solve −4(2x − 1) = −6(x + 2) − 2. (1 point)
Answer:
X=-4.525
Step-by-step explanation:
-4(2x-1)=-6(x+2)-2.1.
-8x+4=-12x-12-2.1.
-8x+12x=-14.1-4
4x=-18.1
X=-18.1/4
X=-4.525
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
I NEED HELP ASAP What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?