Answer:
Step-by-step explanation:
Use ^2 to indicate ²
y = (x-3)² + 8
This is an up-opening parabola.
Vertex (3,8)
Axis of symmetry: x = 3
Domain: ℝ
Range: [8,+∞)
n eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a blue on your next toss of the die
Answer:
The answer is "21%".
Step-by-step explanation:
[tex]\to 26 + 20 + 29 + 49 = 124\\\\=\frac{26\ \text{brown times}}{124 \ \text{total times}} \\\\= \frac{26}{ 124} \\\\ = 0.209677 \\\\[/tex]
Calculating the percentage:
[tex]= 20.9677 \times 100\\\\=20.9677\% \approx 21\%[/tex]
The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr2h
Cylinder A has a volume of 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches. What is the volume of cylinder B, which has a radius of 4 inches and a height of 5 inches?
Answer:
v = pi x r^2 x h
3.14 x 16 x 5 =251.2
hope that answers your question
Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from ZB in triangle ABC
A. 4
B. 18
C. 8
D. 768
Please select the best answer from the choices provided
Ο Α
D
9514 1404 393
Answer:
C. 8
Step-by-step explanation:
The median from vertex B is the line segment between there and the midpoint of side AC. That midpoint is ...
D = (A +C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2 = (-4, -1)
So, we want the length of the line between (-4, -1) and (4, -1). These points are on the same horizontal line (y=-1), so the length is the difference of the x=coordinates:
median AD = 4 -(-4) = 8 . . . . units in length
Write the equation in slope-intercept form of a line is parallel to y=2x+5 and has a y-intercept of -7
Answer:
y = 2x - 7
Step-by-step explanation:
Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.
Pls solve this for me ryt now wai abeg
...The first three terms of an arithmetic progression (A.P) are (x+1),(4x-2) and(6x-3) respectively .If the last term is 18,find the
a.Value of x b.Sum of the terms of the progression
Answer:
[tex]x = 2[/tex]
[tex]S_n = 63[/tex]
Step-by-step explanation:
Given
[tex]a_1 = x + 1[/tex]
[tex]a_2 = 4x -2[/tex]
[tex]a_3 = 6x -3[/tex]
[tex]a_n = 18[/tex]
Solving (a): x
To do this, we make use of common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = a_3 - a_2[/tex]
So, we have:
[tex]a_3 - a_2 = a_2 - a_1[/tex]
Substitute known values
[tex](6x - 3) - (4x - 2) = (4x - 2) - (x + 1)[/tex]
Remove brackets
[tex]6x - 3 - 4x + 2 = 4x - 2 - x - 1[/tex]
Collect like terms
[tex]6x - 4x- 3 + 2 = 4x - x- 2 - 1[/tex]
[tex]2x- 1 = 3x- 3[/tex]
Collect like terms
[tex]2x - 3x = 1 - 3[/tex]
[tex]-x = -2[/tex]
[tex]x = 2[/tex]
Solving (b): Sum of progression
First, we calculate the first term
[tex]a_1 = x + 1[/tex]
[tex]a_1 = 2 + 1 = 3[/tex]
Next, calculate d
[tex]d = a_2 - a_1[/tex]
[tex]d = (4x - 2) - (x +1)[/tex]
[tex]d = (4*2 - 2) - (2 +1)[/tex]
[tex]d = 6 - 3 = 3[/tex]
Next, we calculate n using:
[tex]a_n = a + (n - 1)d[/tex]
Where:
[tex]a_n = 18[/tex]
[tex]d = 3; a = 3[/tex]
So:
[tex]18 = 3 +(n - 1) * 3[/tex]
Subtract 3 from both sides
[tex]15 = (n - 1) * 3[/tex]
Divide both sides by 3
[tex]5 = n - 1[/tex]
Add 1 to both sides
[tex]6 = n[/tex]
[tex]n = 6[/tex]
The sum of the progression is:
[tex]S_n = \frac{n}{2} * [a + a_n][/tex]
So,, we have:
[tex]S_n = \frac{6}{2} * [3 + 18][/tex]
[tex]S_n = 3 * 21[/tex]
[tex]S_n = 63[/tex]
Help with This question please
Answer:
A
Step-by-step explanation:
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 527 and standard deviation 118.
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20 and standard deviation 3.
1. What is Elanor's standardized score?
Round to 2 decimal places.
3. What is Gerald's standardized score?
Round to 2 decimal places.
4. Assuming that both tests measure the same kind of ability, who has the higher score?
i. Gerald.
ii. Elanor.
iii. They both did equally well.
Answer:
1. Elanor's standardized score is 1.19
2. Gerald's standardized score is 0.72
3. Elanor has higher score.
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=X-M over 8 where
X is the student's score
M is the mean score of the exam
s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =680-554 over 106 ≈ 1.19
Gerald's standardized score is:
z(g)= 27 - 24.7 over 3.2 ≈ 0.72
Since z(e) > z(g), Elanor has higher score
find the missing side round to the nearest tenth
Answer:
x=7.23
Step-by-step explanation:
Brainliest please
Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05. The researchers examined levels of social support for abused versus non abused women. A p value of 0.19 is reported. Based on this information, you know:
Answer:
The p-value is larger than the significance level, which means that there is not enough evidence to conclude that the social support level for abused women is different of the social support level for non abused women.
Step-by-step explanation:
The researchers examined levels of social support for abused versus non abused women.
At the null hypothesis, we test if they receive the same degree of social support, that is:
[tex]H_0: \mu_A = \mu_N[/tex]
At the alternative hypothesis, we test if they receive different degrees of social support, that is:
[tex]H_1: \mu_A \neq \mu_N[/tex]
A p value of 0.19 is reported.
The p-value is larger than the significance level, which means that there is not enough evidence to conclude that the social support level for abused women is different of the social support level for non abused women.
find x in the following
Answer:
i. ans in picture
ii. ans in picture
iii. ans in picture
iv. 19
v. 38
Step-by-step explanation:
i. working in picture
ii. working in picture
iii. working in picture
iv.
180-90=90
90=2x+7+45=2x+52
2x=90-52=38
x=19
v.
angle COD=3x+10
180-3x+10-2x
180+10=2x+3x
190=5x
x=38
Answer:
x = 123- 56=67x= 17x=125x=19x= 20Step-by-step explanation:
Apply the following triangle laws:
The sum of the angles of a triangle will always be 180 degrees.
A stub function is:__________.
A) A short function
B) A function that has been unit tested
C) A function that acts as a placeholder and returns a simple value so another function can be tested
D) A function that is broken down into smaller steps through step-wise refinement
Answer: c. A function that acts as a placeholder and returns a simple value so another function can be tested.
Step-by-step explanation:
A stub simply means a function which has an expected signature but has an incomplete implementation. It is put in place in order for codes to be tested before the functions are fully written.
A stub is a function that acts as a placeholder and returns a simple value so another function can be tested. Therefore, the correct option is C.
Translate into an algebraic expression:
n-1 increased by 110%
Answer:
Step-by-step explanation:
(n-1)1.1
some1 help please :) dont answer if u are not 100% sure thank you
Answer:
Step-by-step explanation:
It's never negative.
D is indeed correct, the function's values never go below 0, meaning never below the x-axis
Please help urgently
Drag the tiles to the correct boxes to complete the pairs.
Match each given domain of the function f(I):
with its corresponding range.
{40, 45, 50, 55, 60)
{52, 56, 63, 67, 71}
{37, 46, 49, 55, 57)
{44, 51, 59, 66, 73}
Range
Domain
{20.8, 22.4. 25.2, 26.8, 28.4) <
{16, 18, 20, 22, 24)
(17.6, 20.4, 23.6, 26.4, 29.2)
(14.8, 18.4, 19.6, 22, 22.8)
(40, 45, 50, 55, 60) to (16, 18, 20, 22, 24)
{52, 56, 63, 67, 71} to {20.8, 22.4. 25.2, 26.8, 28.4}
{37, 46, 49, 55, 57} to (17.6, 20.4, 23.6, 26.4, 29.2)
{44, 51, 59, 66, 73} to (14.8, 18.4, 19.6, 22, 22.8)
Domain is the set of all values for which the function is defined. Range is the set of value inside the domain function.
The ranges and domain functions are given which needs to be matched correctly.
This also referred to as input and output function which will create a range and domain function.
Learn more at https://brainly.com/question/24378415
Answer:
I did the test and got this so just change these two and it will be correct
Step-by-step explanation:
I did test on edmentum/PLATO
Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Let the two equal angles each be x
Let the third angle be x + 48
Then ATQ
x + x + x + 48 = 180
3x + 48 = 180
3x = 180 - 48 (Angle Sum Property)
3x = 132
x = 132/3
x = 44
Now the two angles are each 44
And the largest angle = 44 + 48
= 92
Answered by Gauthmath must click thanks and mark brainliest
Largest angle in the triangle is [tex]92^{0}[/tex]
What is triangle?"A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry."
What is angle sum property?"Angle sum property of triangle states that the sum of interior angles of a triangle is 180°."
Let us assume the two equal angles be '[tex]x[/tex]'
According to the question,
Two equal angles = [tex]x[/tex]
Third angle = [tex]x+48^{0}[/tex]
We know the angle sum property
[tex]x+x+x+48^{0} =180^{0}[/tex]
⇒[tex]3x+48^{0}=180^{0}[/tex]
⇒[tex]3x=180^{0}-48^{0}[/tex]
⇒[tex]x=\frac{132^{0} }{3}[/tex]
⇒[tex]x=44^{0}[/tex]
Two equal angles [tex]x[/tex] = [tex]44^{0}[/tex]
Largest Angle = [tex]44^{0} +48^{0}[/tex]
∴ Largest Angle = [tex]92^{0}[/tex]
Hence, Largest Angle = [tex]92^{0}[/tex]
Learn more about triangle and angle sum property here
https://brainly.com/question/3772264
https://brainly.com/question/4316040
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if I have to add 97 oz of algaecide to 10,000 gallons of water how much should I add if I only have 200 gallons of water
Answer:
1.94 oz
Step-by-step explanation:
x/97 = 200/10000
97*200 = 10,000x
19400 = 10,000x
1.94 oz
You can also do it this way:
200/10000 = 0.02
0.02 * 97 = 1.94
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
3x+2y <
11 2x-y<9
Does this graph match this equation?
Answer:
No.
Step-by-step explanation:
3x+2y<11 doesn't have a y-intercept of 6 and doesn't have a x-intercept of 4.
2x-y<9 is not the same direction as 3x+2y<11.
A vending machine dispenses coffee into a twenty-ounce cup. the amount of coffee dispensed into the cup is normally distriubuted with a standard deviation of 0.03 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Answer:
x=20.938
Step-by-step explanation:
-2.053748911 = (x - 21)/.03
x=20.938
construct a rectangle PQRS, In which AB= 8cm and diagonal AC= 10cm
A rectangle can be constructed using a straightedge, and a setsquare or compass
Please find attached the drawing of rectangle ABCD
The steps to construct the rectangle ABCD are as follows:
Question:
The missing part of the question is the name of the rectangle = ABCD
The given parameters are;
The length of the side AB = 8 cm
The length of the diagonal of the rectangle ABCD = AC = 10 cm
The steps to construct a rectangle are;
Draw the segment [tex]\overline{AB}[/tex] = 8 cm on a planeDraw perpendicular lines at points A and B with length h given by Pythagoras's theorem as followsh² = [tex]\overline{AC}[/tex]² - [tex]\overline{AB}[/tex]²
∴ h² = 10² - 8² = 36
h = √36 = 6
h = 6 cm = The length of the sides [tex]\mathbf{\overline{AD}}[/tex] and [tex]\mathbf{\overline{CB}}[/tex]
Draw arcs with radius 6 cm from points A and B to intersect the perpendicular lines drawn from points A and B on the same side of the line [tex]\overline{AB}[/tex] at points D and CJoint point C to D with a straight line which is segment [tex]\overline{CD}[/tex] and which completes the rectangle ABCDLearn more about the construction of basic shapes here;
https://brainly.com/question/17440931
According to the video, this career offers a good opportunity to do what?
O supervise other workers
O learn an employer's business
Obecome physically fit
Obuild friendships with customers
Answer:
The correct answer is "learn an employers business"
Step-by-step explanation:
Supervising other workers isn't their job
Becoming physically fit wouldn't help them with that job
Building friendships with customers isn't part of the job
According to the video, this career offers a good opportunity to learn an employer's business. Therefore, the correct option is option B.
What is career?There are two definitions of a career. It's common to use the word "career" to describe a profession, occupation, trade, or vocation. The work you perform for a livelihood is defined by your job, which can range from occupations requiring substantial education and training to ones that can be performed using a high school certificate and then a desire to gain knowledge.
Work as a doctor, attorney, teacher, carpenter, veterinarian assistant, electrician, cashier, instructor, or hairstylist is an example of a career. According to the video, this career offers a good opportunity to learn an employer's business.
Therefore, the correct option is option B.
To know more about career, here:
https://brainly.com/question/30104104
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Find the time it takes for $6,400 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Find the time it takes for $640,000 to double when invested at an annual interest rate of 19%, compounded
continuously.
years
Give your answers accurate to 4 decimal places.
Question Holn Video M Message instructor
9514 1404 393
Answer:
3.6481 years
Step-by-step explanation:
The doubling time is not a function of the amount invested. It can be found by considering the account balance multiplier:
2 = e^(rt) = e^(0.19t)
Taking logs, we can solve for t:
ln(2) = 0.19t
t = ln(2)/0.19 ≈ 3.6481431
Rounded to 4 decimal places, the doubling time is 3.6481 years, for either balance.
Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
128Answer:
128
Step-by-step explanation:
vì 4+4=8
8+8=16
16+16=32
32+32=64
64+64=128
The line perpendicular to y=3/4x+7 containing (3,-4)
Answer:
y = - [tex]\frac{4}{3}[/tex] x
Step-by-step explanation:
1). [tex]y_{1}[/tex] = [tex]m_{1}[/tex] [tex]x_{1}[/tex] + [tex]b_{1}[/tex]
[tex]y_{2}[/tex] = [tex]m_{2}[/tex] [tex]x_{2}[/tex] + [tex]b_{2}[/tex]
[tex]y_{1}[/tex] ⊥ [tex]y_{2}[/tex] if [tex]m_{2}[/tex] = - [tex]\frac{1}{m_{1} }[/tex]
2). ( [tex]x_{3}[/tex] , [tex]y_{3}[/tex] )
y - [tex]y_{3}[/tex] = m( x - [tex]x_{3}[/tex] )
~~~~~~~~~~~~~~~~~~
y = [tex]\frac{3}{4}[/tex] x + 7
[tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex]
[tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex]
( 3, - 4 )
y - ( - 4) = - [tex]\frac{4}{3}[/tex] ( x - 3 )
y + 4 = - [tex]\frac{4}{3}[/tex] x + 4
y = - [tex]\frac{4}{3}[/tex] x
-7/3+1/2w= -9/5
What is w?
Answer:
w = 124/15 = 8 4/15
Step-by-step explanation:
[tex]-\frac{7}{3}+\frac{1}{2}w=-\frac{9}{5}\\\\\frac{1}{2}w=\frac{62}{15}\\\\w=\frac{124}{15}=8\frac{4}{15}[/tex]
find the value of the trigonometric ratio. make sure to simplify the fraction if needed
Answer:
12/5
Step-by-step explanation:
since we are dealing with the angle at Z, we consider Z also to be the center of a circle.
then 10 is the radius of this circle.
24 is tan Z in this circle with radius 10.
tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.
so, tan Z = 24/10 = 12/5
PLEASE HELP
-6/5k=12
Show your work in details if you can, I have a hard time understanding this.
[tex]\begin{cases}\large\bf{\green{ \implies}} \tt \: - \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: - 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{ - 6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: - 10 \end{cases}[/tex]
Help please im new and i need help
9514 1404 393
Answer:
B) False
Step-by-step explanation:
Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.
All three of the angles of the first triangle are given: 20°, 40°, 120°.
One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.
The angles aren't the same, so the triangles are not similar.
__
If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.
Then the angles in the two triangles, listed smallest to largest, are ...
20°, 40°, 120°
40°, 60°, 80°
It is clear the angles of these triangles are not the same.
There are 25 peanut candies in a bowl. 4 red, 3 orange, 4 yellow, 5 green, 6 blue and 3 brown. what is the probability of randomly choosing a blue candy from the bowl?
Answer:
6/25 or 24%
Step-by-step explanation:
Answer:
6/25, 0.24, or 24% chance
Step-by-step explanation:
Hi there!
We're given that:
⇒ There are 25 peanut candies in total
⇒ 6 out of the 25 candies are blue
To find the probability of randomly choosing a blue candy from the bowl, divide 6 by 25:
6/25 = 0.24 = 24%
I hope this helps!
Knowing that AQPT - AARZ, a congruent angle pair is:
Answer:
Angle T is congruent to Angle Z
Step-by-step explanation:
Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.
