Answer:
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]B = (7,-3)[/tex]
[tex]C = (6,y)[/tex]
[tex]A = (4,-9)[/tex]
Required
The y coordinate of C
Since A, B and C are on the same line, the slope of AB and the slope of AC will be the same.
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For AC
[tex]A = (4,-9)[/tex] [tex]C = (6,y)[/tex]
[tex]m = \frac{y - -9}{6 - 4}[/tex]
[tex]m = \frac{y +9}{2}[/tex]
For AB
[tex]A = (4,-9)[/tex] [tex]B = (7,-3)[/tex]
[tex]m = \frac{-3 --9}{7-4}[/tex]
[tex]m = \frac{-3 +9}{3}[/tex]
[tex]m = \frac{6}{3}[/tex]
[tex]m = 2[/tex]
So, we have:
[tex]m = \frac{y +9}{2}[/tex] and [tex]m = 2[/tex]
[tex]m = m[/tex]
[tex]\frac{y +9}{2} = 2[/tex]
Multiply both sides by 2
[tex]y +9 = 4[/tex]
Solve for y
[tex]y = 4-9[/tex]
[tex]y = -5[/tex]
Hence, the y coordinate of C is -5
Andy cycles a distance of 30 km at an average speed of 24 km/h.
He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes.
Give your answer in hours and minutes.
Step-by-step explanation:
Total time taken=(30/24+12/8)
=(1.25+1.5)
=2.75 hrs
=165 minutes
=2 hrs and 45 minutes
formula used: v=d/t
or,d=v×t
or,t=d/v which is the master formula used in the solution of this problem.
If you are satisfied with my answer then please, give brainliest.
Find the slope. Simplify completely.
Question 11 of 21
If you horizontally compress the exponential function f(x) = 2X by a factor of
4, which of these is the equation of the new function?
A. Rx) = 6*
B. f(x) = 8
C. f(x) = 4(24)
D. AX) = 2(4x)
SUBMIT
Answer:
B) f(x) = 8x
Step-by-step explanation:
Horizontal shifts are representative of "C" in the equation "BF(CX-H)+K"
So, 2x * 4 = 8x
.pl.help meerrrrreeeeee
they are website explaining this so you can grasp I will share the link
Find the value of x. Write your answer in simplest form.
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH²= B²+ P²
[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]
Hope This Helps You ❤️If the standard deviation of a data set was originally 4, and if each value in the
data set was multiplied by 8.5, what would be the standard deviation of the
resulting data?
A.9
B.34
C.4
D.13
Answer:
d
Step-by-step explanation:
please help me with 1 to 4!! <33
if you meant to put a link there is none
What is the value of
CNIC
?
81
16
16
81
16
81
81
16
PLEASE HELP!!!!!!!!!
Answer:
10.5
Step-by-step explanation:
Jenny's mom is 33 years old. What percent of Jenny's mother's age Is Jenny's great-grandmother's age 90?
Answer:
answer: 36.67
Hope that helps!
Answer:
[tex]36\frac{2}{3}[/tex] %
Step-by-step explanation:
[tex]\frac{33}{90}: \frac{y}{100}[/tex]
y · 90 = 33 · 100
90y = 3300
90y ÷ 90 = 3300 ÷ 90
[tex]y=36\frac{2}{3}%[/tex]
Does the equation y = 2(1/2)x represent exponential growth or decay
Answer:
Growth.
Step-by-step explanation:
y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.
Hope that this helps!
In what place is the digit 1 in the number 607.912
hundreds
tens
tenths
hundredths
Answer:
tenths.........
Step-by-step explanation:
.....is the answer
Find the probability of having 2,3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
Answer:
65.3%
Step-by-step explanation:
P(2,3, OR 4)
You have to do each one individually then add them together
5C2(.4)^2 times (.6)^3 + 5C3(.4)^3 times (.6)^3 + 5C4(.4)^4 times (.6)^1=
.3465+.2304+.0768=.6528=65.3%
Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -
Answer: [tex]||cu||=39[/tex]
Step-by-step explanation:
Given
[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]
[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction
[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]
[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]
option (a) is correct.
Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].
V=?
All sides of quadrilateral ABCD are tangent to circle P.
What is the perimeter of the quadrilateral below?
Answer:
44.4 units
Step-by-step explanation:
Recall: 2 tangents drawn from an external point from a circle are congruent
Perimeter of the quadrilateral = AB + BC + CD + AD
AB = 3.1 + 8 = 11.1
BC = 3.1 + 8 = 11.1
CD = 11.1 (given)
AD = 8 + 3.1 = 11.1
Perimeter = 11.1 + 11.1 + 11.1 + 11.1
= 44.4 units
ind g(x), where g(x) is the translation 5 units right of f(x) = x.
Write your answer in the form mx + b, where m and b are integers.
A. g(x)= x + 5
B. g(x)= x - 5
C. g(x)= x(5)
D. none of the above
what is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?
Answer:
13.5 inches
Step-by-step explanation:
11.5 x 2.25 x 4
I could be wrong
Answer:
13.5 inches is correct :)
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
The volume of the pyramid is 126in^3
Step-by-step explanation:
To find the volume of a pyramid you need to use this formula which is
V=lw·h/3
V=9·6·7/3
V=54·7/3
V=126in^3
distribute 48xy + 36x
Answer:
48xy+36x
=6x(8y+6)
Step-by-step explanation:
Please help
NO LINKS!
24 on the left, 20 on top, 14 on right and bottom.
Answer:
Volume:
First lets find the height of the triangle:
14 divided by 2 = 7
7 is now your base since we split it apart into two right triangles.
24^2 + 7^2 = 625
625: 25^2 = 225 perfect!
25 is now your height:
25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)
175(area of triangle) x 20(width) = 2100, around 3500 m^3
help please..............
Answer:
19.4 in.
Step-by-step explanation:
I really need help on this any help ?!?!? Extra points!?
Answer:
circumference = 2πr
diameter = 3ft, so radius =3/2 =1.5
=2π ×1.5=3π= 9.42ft
Answer:
here diameter =3 ft
radius=diameter/2
=3/2
=1.5 ft
now use formula 2 pie r where pie =3.14
=2*3.14*1.5 ft
=9.42 ft
Step-by-step explanation:
Hope this helps u!!
PLEASE HELP) Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.
Answer:
B
Step-by-step explanation:
To find the answer you can just input a number for x and then you should come up with a y-value.
The graph mentioned in option B is correct.
We have the the following function -
f(x) = -3 |x|
We have to select the correct graph from the given ones.
State the property Modulus.For a function f(x) = x, which is real in nature -
f(x) = |x| = [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]
We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -
f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]
For every negative value of x -
y = f(x) = 3x = negative value in a multiple of 3.
For every positive value of x -
y = f(x) = - 3x = negative value in a multiple of 3.
Hence, the graph mentioned in option B is correct.
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There are 10 students in a class. How many different ways can a teacher ask 3 students to complete tasks?
Answer:
518,400ways
Step-by-step explanation:
nPr=n/n-r
10P3=10/(10-3)
=10/7
=10x9x8x7x6x5x4x3x2x1/7
=3,628,800/7
=518,400 ways
There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.
What is Binomial distribution?Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.
The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.
As per the given data in the question,
Total number of students in the class = 10
So, the ways the teacher can ask 3 students to complete the task will be,
= ¹⁰C₃ = 10!/[3! (10 - 3)!]
= (10 × 9 × 8 × 7!)/[3! × 7!]
= 720 / 6
= 120 ways.
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FINDING PERIMETER need help right now
Answer:
if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.
Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin
i dont know this questions
By the age of 2 a child is about 50% of his adult height how tall was a two year old who's adult height is 6 feet and 2 inches
Answer:
3 ft 1 in
Step-by-step explanation:
6 ft 2 inches comes to 74 inches.
50% of that is 37 inches, or 3 ft 1 in
-7 2/3 + ( - 5 1/2) + 8 3/4 =
Answer:
-53/12
Step-by-step explanation:
-7 2/3=-23/3
-5 1/2=-11/2
8 3/4=35/4
----------------
-23/3+(-11/2)+35/4
-23/3-11/2+35/4
-92/12-66/12+105/12
-53/12
Answer:
- 4 5/12
Step-by-step explanation:
- 7 2/3 + (-5 1/2) + 8 3/4
-7 2/3 - 5 1/2 + 8 3/4
-7 4/6 - 5 3/6 + 8 3/4
-13 1/6 + 8 3/4
-13 2/12 + 8 9/12 = -4 5/12
If my answer is incorrect, pls correct me!
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-Chetan K
Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? 2.42 Can it be concluded that the population mean is greater than 50? Yes b. With = 51, what is the value of the test statistic (to 2 decimals)? .97 Can it be concluded that the population mean is greater than 50? No c. With = 51.8, what is the value of the test statistic (to 2 decimals)? 1.65 Can it be concluded that the population mean is greater than 50? Yes
Answer:
Step-by-step explanation:
From the question we are told that:
Null Hypothesis [tex]H_0: 50[/tex]
Alternative Hypothesis [tex]H_a: > 50[/tex]
Sample size [tex]n=50[/tex]
standard deviation[tex]\sigma=6[/tex]
Significance level [tex]\alpha=0.05[/tex]
a)
Sample mean [tex]\=x=52.5[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.95[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Reject the Null hypothesis [tex]H_0[/tex]
b)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=1.18[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude,The value of test statistics is less than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
c)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.12[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
3. Find mZS.
Q= 5x + 2)
P= 10x - 3)
(7x - 11)=ºR
(13x - 31)º=S
(8x - 19)=T
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151
The measure of ∠S is equal to 151°.
What is a shape?In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.
As per the given data:
We are given the diagram of a shape and all its internal angles.
As the given shape is having 5 sides, it will be a pentagon.
The sum of all internal angles in a pentagon is equal to 540°.
∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
= 43x - 62 = 540
= 43x = 602
x = 14
To find the measure of ∠S.
∠S = 13x - 31
∠S = 13(14) - 31
∠S = 151°
The measure of ∠S is equal to 151°.
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