the slope is 6/-5
subtracting the y values gives you -2-(-8)=6
subtracting the x values gives you -1-4= -5
Given:-
Two points (4,-8) and (-1,-2) .To find :-
The slope of the line through these points .Solution :-
As we know that the slope is ,
[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]
Substitute the values ,
[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)
[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1
[tex]\longrightarrow[/tex] Slope = 6/5
Hence the slope of the line is 6/5 .
Least to greatest (sorry I’m horrible at simple math)
Step-by-step explanation:
Least to greatest
= 0.919, 0.99, 1.09
Answer:.919,099,1.09
Step-by-step explanation:
The mean time it takes a certain pain reliever to begin reducing symptoms is 20 minutes with a standard deviation of 4.39 minutes.
Assuming the variable is normally distributed, find the probability that it will take the medication less than 25 minutes to begin to work.
A. 0.8729
B. 0.3708
C. 0.8708
D. 0.3729
Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?
Answer
$540
Step-by-step explanation:
hopes this helps
Daisy had 2 3/4
bags of mulch to put in her yard. Each bag will cover 235.5 ft2
. How much square feet will she be able to cover is she uses all of the bags of mulch?
help me plsssssss
Answer:
mmmmmmm
Step-by-step explanation:
n
Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.
The amount of mulch is given as:
[tex]Bag = 2\frac 34[/tex]
The area covered by each bag is given as:
[tex]Area = 235.5ft^2[/tex]
If she uses all bags, the total area covered by the bags is:
[tex]Total = Bag \times Area[/tex]
So, we have:
[tex]Total = 2\frac 34 \times 235.5ft^2[/tex]
Rewrite the fraction as an improper fraction
[tex]Total = \frac {11}4 \times 235.5ft^2[/tex]
This gives
[tex]Total = \frac {2590.5}4 ft^2[/tex]
[tex]Total = 647.625 ft^2[/tex]
Hence, she will be able to cover a total area of 647.625 square feet
Read more about areas at:
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13,22,31,...
Find the 31st term.
Find the 31st term.
Answer:
The 31st term is 283
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
[tex]an = a1 + (n - 1)d[/tex]
a31 = 13 + ( 31-1 ) 9
a31 = 13 + 270
a31 = 283
Match the expression to the method needed to evaluate (will give brainlest)
Answer:
See image
Step-by-step explanation:
This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.
So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.
The Add exponents rule and Subtract are 100% correct.
The expressions are matched to the method needed to evaluate as shown below.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The first expression is 5³ × 5³.
Multiplication rule of exponents states that,
xᵃ × xᵇ = xᵃ⁺ᵇ
That is we add the exponents.
So, 5³ × 5³ = 5³⁺³ = 5⁶
The next expression is (7²)³.
We have the rule, (xᵃ)ᵇ = xᵃᵇ
So, here, multiply the exponents.
(7²)³ = 7⁶
(4x³)⁵
We can write it as,
(4x³)⁵ = 4⁵ . (x³)⁵
That is write is as product of the powers.
Division rule of exponents states that,
xᵃ / xᵇ = xᵃ⁻ᵇ
6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴
So, subtract the exponents.
Hence the expressions are matched.
Learn more about Exponents here :
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#SPJ2
PLZ HELP ME WITH MY MATH HOMEWORK!!!!!! SHOW WORK
Answer:
Step-by-step explanation:
-(4q+8) + 6q = 12q - 5/6(18q + 6)
Open brackets:
<=> - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6
<=> - 4q - 8 + 6q = 12q - 15q - 5
Put q in one side and non q in one side:
<=> - 4q + 6q - 12q + 15q = 8 - 5
<=> 5q = 3
<=> q = 3/5
Help on this algebra 2 question look at the pic. Is it’s A, B or C
Answer:
A is correct
Step-by-step explanation:
perimeter is twice the sum of the two adjacent sides
p = 2(x + (2x³ - 3x + 4))
p = 2(2x³ - 2x + 4)
p = 4x³ - 4x + 8
Six points are plotted on the number line.
Which points on the number line are opposites?
Answer: P and U
Step-by-step explanation:
I need this answer answed ASAP please..work out the area of the shaded shape
Answer:
Step-by-step explanation:
A = 8(14) - 5(14 - 5 - 2) = 77 m²
Answer:
77m (squared)
Step-by-step explanation:
A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 44 and 2/3 pounds of beef,how many hamburgers can they make?
Answer:
67 hamburgers
Step-by-step explanation:
In order to find the answer to this question, you must do the following equation:
44÷2/3. The answer to this is 66.
Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!
So, the cook can make 67 hamburgers.
What reaction did Pocahontas's people have to her helping the Jamestown colonists?
Answer:
They were very angry about her helping the colonists.
Step-by-step explanation:
What is the discriminate of the following quadratic equation?
4x^2 - 2x + 6 = 0
-92
Step-by-step explanation:
If a quadratic equation has the following form:
[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]
then its discriminant D is defined as
[tex]D = b^2 - 4ac[/tex]
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
[tex]D > 0,\;\;[/tex] there will be 2 real roots
[tex]D = 0,\;\;[/tex] there will be 1 real root
[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
If Justin raves his Chevy Camaro south down 1-540 for 2560 meters in 60 seconds, what is his velocity?
given the function below, which of the following values will result in f(x)=10
f(x)=1/2x+8
Answer: x=4
Step-by-step explanation:
1/2x+8=10
Subtract 8 from 10
Multiply 2 to 2
x=4
Step-by-step explanation:
1/2(10)+8=
1/20+8=
161/20=
8.05
Find the next four terms in the sequence.
1,-4, 16, -64, ...
Answer:
256, -1024, 4096, -16384
i think that's it
it's being multiplied by -4 (geometric)
3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually. (a) Write an equation to represent the amount of money in the account as a function of time in years. (b) Find the amount of time it takes for the account balance to reach $800. Show your work. Answer:
Answer:
31.334... years
Step-by-step explanation:
Initial value = $500
r = 1.5%
t = ?
A = (500)[tex]e^{.015*t}[/tex]
I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.
A/500 = [tex]e^{.015*t}[/tex]
ln A/500 = ln[tex]e^{.015*t}[/tex]
ln A/500 = .015*t
ln(A/500)/.015 = t
t = ln(A/500)/.015
To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.
t= ln(800/500)/.015 = 31.334...(rounded) years
We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!
22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is:
Answer:
11 million
Step-by-step explanation:
20 -12 +3 = 11
There will be 11 million shares of stock in the treasury.
parallel to the line y=3/5x-8; passes through (0,-3)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]
so we're really looking for the line of a slope of 3/5 and passing through (0,-3)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \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}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]
.
Simplify.
{[2 + 3(−3 – 4) – 3] – 2} ÷ 23
Answer:
-0.2
Step-by-step explanation:
pls give me brainliest if possible
Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the
ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this
ticket is $0.50.6000000
Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back
about $5,000."
Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."
Whose statement is correct based on the expected value?
Choose 1 answer:
Only Ahmad's
Only Juana's
Both statements are correct.
Neither statement is correct.
According to the information provided the statement of both people is incorrect (option D)
Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:
0.50 x 1000 = 500
On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:
1 ÷ 50 = 0.02
According to the above, none of the statements of the characters is true.
Learn more about mathematics in: https://brainly.com/question/19003099
Answer:
Neither statement is correct
Step-by-step explanation:
Got it right on Khan Academy
Which is NOT true?
16 + 3 = 11 + 8
16 = 16
16 - 4 = 7 + 6
16 = 19 - 3
Answer:
16 - 4 = 7 + 6
Step-by-step explanation:
16 - 4 = 12
7 + 6 = 13
What is 6.995 to a decimal, fraction, and percent?
Answer:
1399/200 699.5%
Step-by-step explanation:
1. 6.995 is already a decimal.
2. As a fraction it is [tex]\frac{1399}{200}[/tex] and as an improper fraction it would be 6 [tex]\frac{199}{200}[/tex].
3. As a percent it would be 669.5%.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
The ratio of boys to girls in Mrs. Williams’s class is 2 to 5. There are 15 girls in the class. What is the total number of students in Mrs. Williams’s class?
Answer:
It seems like the answer would be 21 students.
Step-by-step explanation:
5 times 3 is 15 so 15 girls
2 times3 is 6 so 6 boys
15+6=21
I hope this helps :))
QUESTION 1
A conical cup is 4 cm across and 6 cm deep. Water leaks out of the bottom at the rate of 2 cm/sec. How fast (in cm/sec) is the water level dropping
when the height of the water is 3 cm?(Round your answer two (2) decimal places)
The water level will be dropping at the rate of [tex]0.64 cm/sec[/tex] when the height of the water reaches [tex]3cm[/tex]
We are give a cone with dimensions as seen in the diagram in the attached image.
The volume changes at the rate
[tex]\frac{dV}{dt}=-2cm^2/sec[/tex]
the negative sign is used because the volume of water is reducing.
what we need to know is the rate the height is changing when [tex]h=3cm[/tex]. That is, we need to evaluate
[tex]\frac{dh}{dt}|_{h=3cm}[/tex]
The relationship between the volume and the height is given by
[tex]V=\frac{1}{3}\pi r^2h[/tex]
but both [tex]h[/tex] and [tex]r[/tex] are changing when [tex]V[/tex] changes. So we need to eliminate [tex]r[/tex] somehow. From the diagram, we can use the similar triangle property to accomplish this
[tex]\frac{r}{2}=\frac{h}{6}\\\\\implies r=\frac{h}{3}[/tex]
substitute into the volume formula to eliminate [tex]r[/tex]
[tex]V=\frac{\pi h^3}{27}[/tex]
differentiate both sides with respect to time, [tex]t[/tex], since both the volume and height are functions of time. They will both be differentiated implicitly
[tex]\frac{dV}{dt}=\frac{\pi h^2}{9}\frac{dh}{dt}[/tex]
to find [tex]\frac{dh}{dt}|_{h=3cm}[/tex], substitute the values for [tex]\frac{dV}{dt}[/tex] and [tex]h[/tex]
[tex]-2=\frac{\pi 3^2}{9}\frac{dh}{dt}\\\\\frac{dh}{dt}=-\frac{2}{\pi}\\\\\approx -0.64 cm/sec[/tex]
So the rate at which the height is reducing when it reaches [tex]3cm[/tex] is [tex]0.64cm/sec[/tex]
Learn more about related rate of change here: https://brainly.com/question/15576763
What is this in simplest form?
PLEASE Help!!:
Check for understanding:
1) Circumference: C = D × π = 40 × 3.14 = 125.6
Area: [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]
2) Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm
Area: [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]
ok done. Thank to me :>
write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3.
Answer:
y = x/3 - 6
Step-by-step explanation:
yeah-ya......... right?
6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?
Answer:
54mile equal to 81km
8mile equal to 12km
You need to buy bananas at the store, but you realize you only have $2. How many bananas could you buy if they each cost 30 cents?
Answer:
6 bananas
Step-by-step explanation:
2 ÷ 0.30 = 6.6 repeating so 6 bananas