Answer:
The slope of line perpendicular to line q is 8/3.
Step-by-step explanation:
Given that:
Slope of a line q is -3/8
Slope is the steepness of any line.
Let,
x be the slope of line perpendicular to line q.
The product of slopes of two perpendicular lines is equal to -1.
[tex]\frac{-3}{8}x = -1[/tex]
Multiplying both sides -8/3
[tex]\frac{-8}{3}*\frac{-3}{8}x=-1*\frac{-8}{3}[/tex]
x = 8/3
Hence,
The slope of line perpendicular to line q is 8/3.
whats 3(2x-1)+7=6x-3-2(2-4x)
Answer:
x = -1
Step-by-step explanation:
DistributeCombine like-termsSimplifyboomJai bought a helmet and a pair of skates.
The helmet cost £40.
He sold both items for £172.
Jai made a 135% profit on the cost of the helmet and a 60% profit on the total cost.
What was the percentage profit on the skates?
Give your answer to 1 decimal place.
Answer:
it is %224 profit on the skates
Step-by-step explanation:
please help meeeeeeeeeeesssssssssssss
Answer:
384 cm^3
Step-by-step explanation:
(16 times 4) times 6 = 384 :D
Find the value of x in the shown figure
Can someone please help me on this???I keep messing it up.
Answer:
The answer is B
Step-by-step explanation
As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.
Write the following numbers in order of size.
Start with the smallest number.
0.3
1/3
21%
1/4
0.205
Answer:
0.205, 21%, 1/4, 0.3, 1/3
Step-by-step explanation:
Hi! How I was taught to do these was convert them all into percentages.
0.3 ---> 30%
1/3 ---> 33.33%
21% ---> 21%
1/4 ---> 25%
0.205 --> 20.5%
Now that we have these, order from least to greatest. Make sure you use the form it gave you in the question!
Enter one word that applies to all the following blanks, starting with 'v'. Spelling counts. Look it up Ch1 Slides if you are not sure. Statistical techniques are useful to describe and understand ____________________. By ____________________, we mean successive observations of a system or phenomenon do not produce exactly the same result.
Answer:
Variability
Step-by-step explanation:
Variability in simple terms may be described as differences in measurement or reading of a certain construct or phenomenon. Variability measures include range, standard deviation or variance. In most cases, variation or degree of Variability is measured about a central value called the mean. This is because same measurement about a certain phenomenon or study would usually not yield the same result value. Hence, the mean is used to record the average of these measurement and the differences in each measurement from the mean is also recorded, this is called the standard deviation which is a Variability measure.
Thus VARIABILITY means successive observation of a phenomenon do not yield exactly the same result.
I need help please rndnddmdndnxxnxx
9514 1404 393
Answer:
a) f(-2.5) = 62.6875; f(-1.5) = -13.0625; (-2.5, -1.5) contains a real root
b) there are 1 each of positive and negative real roots; 2 complex roots
c) -2 and 1/3 are the rational real roots
d) x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}
Step-by-step explanation:
a) f(-2.5) = 62.6875; f(-1.5) = -13.0625. The function changes sign between -1.5 and -2.5, so there is a real root in that interval.
__
b) The given coefficients have one sign change, so there is one positive real root. Changing the signs of odd-degree terms makes the signs + - + - -, so there are three sign changes. There are 1 or 3 negative real roots, and possibly 2 complex roots. The constant term is non-zero, so zero is not a root. Here's your table:
positive real roots: 1
negative real roots: 1 or 3
complex roots: 2 or 0
zero roots: none
The graph is attached. It shows 2 real roots, one positive and one negative, so there are 2 complex roots. (There are 4 roots in total, so if only 2 are real, the other 2 are complex.)
__
c) Possible rational roots are of the form ...
±{1, 2}/{1, 3, 9}
Listed, they are ...
±{1/9, 2/9, 1/3, 2/3, 1, 2}
The actual real roots are -2 and 1/3.
__
d) The graph shows the real roots to be -2 and 1/3. The original leading coefficient of 3 is the product of the leading coefficients of the factors. Writing the factor (x -1/3) as (3x -1) lets us reduce the leading coefficient of the quadratic term from 9 to 3. The result of dividing factors (x+2) and (3x-1) from the original function is shown in the attachment. It is a parabola with vertex (-1/3, 2/3), so the factorization is ...
f(x) = (x +2)(3x -1)(3(x +1/3)² +2/3)
The roots of the quadratic term are ...
3(x +1/3)² = -2/3
x +1/3 = ±√(-2/9)
x = (-1 ±i√2)/3
So, the entire list of roots is ...
x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}
_____
Additional comment
The roots of a quadratic are easily found by knowing its leading coefficient and its vertex. If factoring known real roots from a higher-degree polynomial results in a quadratic, then the remaining complex roots are easily found. A graphing calculator is a wonderful tool for this process.
HELP PLZ!!!!!!!!!! :)
A lake is rising at a rate of 4 inches per hour. If the lake rises more than 36 inches, then it will cause flood damage. How long can the lake rise at this rate without causing flood damage?
Answer:
8 hours
Step-by-step explanation:
it can't be 36 as the answer, and the next multiple before 36 is 32. And if you do 32 divided by 4 then you get 8. The answer is 8 hours.
solve for c.
c - 7 = -9
Answer:
[tex]c = 2[/tex]
Step-by-step explanation:
In order to find the answer to this question you must add 7 on both sides.
[tex]c-7=-9[/tex]
[tex]+ 7 + 7[/tex]
[tex]-9 + 7 = -2[/tex]
[tex]c = -2[/tex]
Hope this helps.
6/5 of 7/11 is ...
what is ...
Answer:
42/55
Step-by-step explanation:
6/5 times 7/11 = 42/55
A line has a slope of 1/9 and passes through the point (6, 6). What is its equation in point- slope form?
__+ (-4) = -1 what is the missing number
Answer:
3
Step-by-step explanation:
_+(-4) = -1
_-4 = -1
_ = 3
The random variable R has the binomial distribution B (12,0.35) .find P(R>4)
Answer: [tex]0.416655[/tex]
Step-by-step explanation:
If random variable X has the binomial distribution B(n, p), then
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]
, where n= Total number of trials, x = number of successes , p= probability of success in each trial.
Given: The random variable R has the binomial distribution B (12,0.35).
n= 12, = 0.35
[tex]P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655[/tex]
Hence, P(R>4)=0.416655
A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. x P(x) 1 0.10 2 0.30 3 0.40 4 0.20 What is the probability the baker will sell exactly one batch
Answer:
[tex]P(x = 1) = 0.10[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]
Required
Determine the probability of selling exactly 1 batch
This probability is represented with [tex]P(x = 1)[/tex]
From the table:
When x = 1; P(x) = 0.10
Hence:
[tex]P(x = 1) = 0.10[/tex]
In other words, the probability of selling exactly 1 is 0.10
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
second step is wrong; x = 5
Step-by-step explanation:
The correct solution is ...
3(x -3) +9 = 15
3x -9 +9 = 15 . . . . . . . not 3x -3
3x = 15
x = 5
_____
Jeremy did what a lot of students do -- failed to apply the outside factor to all of the terms in parentheses.
how many months are in y years and m months?
Answer:
Step-by-step explanation:
There are 12 months in one year, so there would be 12*y in y years.
Answer:
there 12 months in one 1 year
Step-by-step explanation:
Here are some numbers 2 9 14 36 40 which number is a multiple of 12
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Answer:
First the line is positive so you can eliminate all negative choices for slope
Now start from a random point that lands on the graph
Now it can’t be 1 becuase it has am extra box but that line isn’t on a point
Now 1/2 it can’t be becuase if you rise 1 and go right 2 it’ll not land ona. Point
But for 2, you rise up 2 and right 1 and you land on a point on the graph so the final answer is 2
Solve and check please help ty
so wt's the question of this pic?
Calculate the amount of money you'll have at the end of the indicated time period.
You invest $3000 in an account that pays a simple interest of 3% for 10 years.
The amount of money you'll have at the end of 10 years is $
nothing.
Answer:0
Step-by-step explanation:
Annually compounded interest: 4,031.75
Simple interest: 3,900.00
Simplify the expression: 2x + 1 + 7x
O 10
O 10x
O 9x + 1
O 9 + 1x
Answer:
9x+1
Step-by-step explanation:
2x+1+7x
2x+7x+1
9x+1
The selling price of an item is $650. It is marked down by 20%, but this sale price is still marked up from the cost of $400. Find the markup from cost to sale price
Answer: 10%×$650=$585
$585-$450=$135 Mark up.
HOPE THIS HELPS
List all factors of 72
Answer:
1,2,3,4,6,8,9,12,18,24,36,72.
Step-by-step explanation:
What you are looking for are numbers that multiply by each other to equal 72, like 1 and 72 or 8 and 9. Factor tree may help, search it up :)
Find the value of X and y
x+3
y°
60°
15
Answer:
y = 60°
x = 12
Step-by-step explanation:
opposite angles of a parallelogram are equal
opposite sides of a parallelogram are equal
Keith's high school played 15 soccer games this year. the team won most of their games. They were defeated during 2 games. Write an equation that represents how many games they won.
Group of answer choices
x - 2 = 15
15 - x = 2
x + 2 = 15
Answer:
13 = x 15 - x = 2
Step-by-step explanation:
15-x=2
15-13=2
Find the volume of a right circular cone that has a height of 17.6 cm and a base with a
diameter of 16.4 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
1239.3 cm^3
Step-by-step explanation:
The volume of a cone is 1238.7 cm³.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is (1/3)πr²h.
We have,
Height = 17.6 cm
Diameter = 16.4 cm
Radius = 16.4/2 = 8.2 cm
Now,
The volume of a cone = (1/3)πr²h.
V = 1/3 x 3.14 x 8.2 x 8.2 x 17.6
V = 1238.87 cm³
Thus,
The volume of a cone is 1238.7 cm³.
Learn more about cones here:
https://brainly.com/question/13798146
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A government study in 2020 estimated that 1 million Californians don’t have access to safe drinking water. If the population of California is 39.51 million, what percentage of the population don’t have access to safe water?
Answer:
2.53%
Step-by-step explanation:
all you have to do is 1 / 39.51 = about 0.0253 = 2.53%
You might need:
Calculator
Find an explicit formula for the geometric sequence -25, -50, -100,- 200, ....
Note: the first term should be d(1).
d(n)
-25*2^n-1
Answer: -25•2^n-1 is the awnser
The explicit formula of the geometric sequence is -25 × 2ⁿ⁻¹.
How to solve a geometric sequence?Let's find the explicit formula for the geometric sequence as follows:
-25, -50, -100,- 200, ...
Using the geometric sequence formula,
nth term = arⁿ⁻¹
where
a = first termr = common ration = number of termsTherefore,
a = -25
r = -50 / -25 = 2
Hence,
nth term = -25 × 2ⁿ⁻¹
learn more on geometric sequence here: https://brainly.com/question/27197371
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The outside temperature was 2 degrees C. The temperature decressed by 4 degrees C. That was the resulting temperature?
Answer:
-2
Step-by-step explanation:
2-4=-2