Hi! Your answer is m = 4 or slope is 4.
Make sure to read an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:
[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]
The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".
From (2,4) and (3,8). We substitute the given coordinate points in the formula.
[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]
Hence, the slope is 4.
Additional Note
m-term comes from y = mx+b where m is defined as slope in slope-intercept form. Therefore, m = slope.Hope this helps!
explain how 7/10 and 70/100 are equivalent decimals
Step-by-step explanation:
7/10 in percentage form is 70%
70/100 in percentage form is 70%
Simple as that
It is proved that the given decimals are equivalent decimals.
What are equivalent fractions? What is a mathematical function, equation and expression?equivalent fractions : Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are the fractions -
7/10 and 70/100
We have the following fractions -
A = (7/10) = 0.7
B = 70/100 = (7 x 10)/(10 x 10) = (7/10)
B = (7/10) = 0.7
It can be seen that fraction A equals to B.
Therefore, it is proved that the given decimals are equivalent decimals.
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What is 27^2/3 simplified
Answer:
3^3
Step-by-step explanation:
[27]^2/3 can also be written as,
[(3)^3]^2/3
Now we know that a^m * a^n = a^m+n, therfore,
[3]^ 3*2/3
Cut 3 and 3
Therefore, you get 3^3
Let me know if you understood. If you didnt I can try to explain it to you in another way.
Also, plz mark me as the brainliest!
Find the coordinates of the point where the lines with equations y=x and y=-6 intersect
Answer:
(-6, -6)
Step-by-step explanation:
Find the coordinates of the point where the lines with equations y=x and y=-6 intersect.
The lines intersect at y = y
Equating the right hand side of both expressions we have;
x = -6
Since y = x, hence y = -6
The required coordinate where they intersect is at (-6, -6)
what is the area of this shape?
Answer:
D) 36 cm^2
Step-by-step explanation:
(9 x 3) + (2 x 4.5)(2)(0.5) = 36 cm^2
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
What will his monthly payment be? (Use the table.)
$94.56
$96.79
$123.21
$141.81
Answer:
94.56
Step-by-step explanation:
because 94,56 x 11.5 x 5 =4300
Answer:
Step-by-step explanation:
Equal installments can be found by
I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)
I=4300((1.00958-1)/(1.00958^60-1)+0.00958)
I=$94.56
Which function is graphed below?
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
Choose the linear Inequality that describes the graph. The gray area represents the shaded region.
Answer:
3
Step-by-step explanation:
the y axis
A triangle has sides with lengths 8, 15, and 17.
1. Verify this is a Pythagorean Triple
2. Approximate the acute angles in this triangle
Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
What is the Pythagorean Triple?Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
Given that, A triangle has sides with lengths 8, 15, and 17.
1) Checking for Pythagorean triples;
17² = 289
8²+15² = 225+64 = 289 = 17²
∴ 17² = 8²+15²
Since, they are following the Pythagoras theorem so, they are Pythagorean triples.
2) Calculating the acute angles:- [please refer to attached figure]
Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,
sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)
∠ C = sin⁻¹(15/17)
∠ C = 61.92°
∠ A = 90°-61.92°
∠ A = 28.08°
Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
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Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.
Answer:
your answer will be C. The function has an inverse because it passes the horizontal line test.
bye have a nice day ^_^
C. The function has an inverse because it passes the horizontal line test.
What is function ?A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.
The relation f from a domain set to co-domain set is called function.
Example : f = {(x, y) | for all x∈X & y∈Y}
A relation becomes function when every element of domain has one and only one image in co-domain.
What is inverse of function ?If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]
Inverse function of a function always undoes the operations of the function f.
f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.
Which is the correct option ?From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.
Hence the option C is the correct one.
C. The function has an inverse because it passes the horizontal line test.
Learn more about inverse function here :
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ill mark brainlist plss help
Answer:
222 ft
Step-by-step explanation:
add 15 ft to each side of the length and width
L = 28 + 30 = 58
W = 23 + 30 = 53
perimeter = 2(L + W) = 2(58 + 53) = 222 ft
Answer:
222 ft
Step-by-step explanation:
The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
Bro pls help em bro pls help me bro
Answer:
Step-by-step explanation:
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
Find the number that belongs
in the green box.
322
7
125°
[?]
Round your answer to the nearest tenth.
Answer:
2.7
Step-by-step explanation:
322/7=46
46*125=2.71739
round off
2.7
Does anyone know the answer?
Answer:
15°
Step-by-step explanation:
2x+5=3x
5=3x-2x
5=x
Now we can solve the angle.
<BAD=2x+5 = 2(5)+5 = 10+5 = 15°
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answer:
A, C, and D are the exponential functions that have been simplified correctly
Can I have help with number 5
Answer:
1
Step-by-step explanation:
2a-21 / b
2(4)-21/3
8-7=1
Answer:
1
Step-by-step explanation:
(FIRST THING FIRST REMEMBER PEMDAS)
First you rewrite the number sentence with the clues you got.
2 x 4 - 21 / 3
Then you do 2x4 to get 8, then you rewrite the # sentence again
8 - 21 / 3
Next you divide 21 / 3 to get 7 and rewrite the sentence again
8-7
FINALLY you subtract 8-7 to get 1
The population of a city has decreased by 33% since it was last measured. If the current population is 13,400, what was the previous population?
0
Х
?
Continue
Answer:
8,978 People
Step-by-step explanation:
13,400 x 0.33 = 4,422
13,400 - 4,422 = 8,978
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
What is the measure of ∠UVW in the triangle shown?
Question 19 options:
A)
140°
B)
50°
C)
60°
D)
10°
Answer:
50°
Step-by-step explanation:
Given that a triangle measures 180°.
∠U =40°
∠W=90°
Sum:130°
180°-130°=50°
Which two types of lines only meet inside the triangle?
Answer:
angle bisectors and opposite side perpendiculars
Step-by-step explanation:
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
What is the height of cylinder pictured below?
144
12
8
54
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
Find the area of the shape
Answer:
I think the answer is 672 please be right
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.