Answer:
y - 9 = 1/2(x + 3)
Step-by-step explanation:
For the equation y = -2x + 8, your slope, m, is -2. To find the slope for a line perpendicular to the original line, we do the opposite reciprocal of this number. The slope of the perpendicular line is 1/2.
Point-slope form is: y - y1 = m(x - x1) where x1 and y1 are the x- and y-coordinates of an ordered pair.
With this new slope for the perpendicular line, and the point we are given, we just plug in the info.
Your equation is: y - 9 = 1/2(x + 3)
Find the surface area of a ping pong ball if the diameter of a ping pong ball is 1.4882 inches round your answer to the nearest hundredth
Answer:
6.96 in².
Step-by-step explanation:
The formula for the surface area of a sphere is
A= 4πr²
Data:
d = 1.4882 in
Calculations:
r = d/2 = 1.4882/2 = 0.7441 in
V = 4 × π × 0.7441² = 6.96 in²
The surface area of the ping pong ball is 6.96 in².
PLEASE HELP!!! I NEED HELP URGENTLY
Answer:
You would click (1,-5)
Step-by-step explanation:
The absolute minimum is the lowest point of the graph.
In all graphs, if it says minimum, it almost certainly means that lowest point, and if there are more than one, you would simply click on those.
It does not matter how many points there are, only that they are the lowest.
Therefore, it would be 1,-5.
Answer:
Step-by-step explanation:
If you accept that this is a function or even a relationship then and is connected then the minimum should be (1,-5).
What is the difference between negative number and positive numbers in a number line?
Answer:
See below.
Step-by-step explanation:
You take the absolute value of the negative number and add.
For example the difference between - 2 and + 3 is |-2|
= 3 + 2 = 5.
+4 and - 6: we have 4 + |-6| = 10.
I need help with this right away
Answer:
14
Step-by-step explanation:
8 + 3e
Let e =2
8 + 3(2)
8 + 6
14
what is 10 divied by 7/8
Answer:
11.43
Step-by-step explanation:
10 divided by 7/8
Set the expression:
(10/(7/8))
To solve, flip the denominator fraction, and make the division into multiplication:
((10 x 8)/7)
Multiply across, then divide:
(80)/7
Divide:
80/7 = 11.43 (rounded)
11.43 is your answer.
~
I Need Help Plz I Need The Answer!!
Answer:
I believe it would be C I don't have much experience with these problems but I'm good at them for what I did
Answer:
ASA Postulate.
Step-by-step explanation:
Two angles and a corresponding side make the triangles congruent.
What is the median of this set of data values? 13 ,14, 17,18, 21, 23, 26, 28
Answer:
20
Step-by-step explanation:
To find the median of this data first add the numbers together then decide by the amount of numbers. So for this problem add 13+14+17+18+21+23+26+28=160 then 160÷8=20
Answer: 19.5
Step-by-step explanation:
A p e x
PLEASE HURRY NEED TO TURN IN BY 8 PM SUPER EASY WILL GIVE BRAINLEIST
A friend rewrote the expression 5(x + 2) as 5x + 2. Write a few sentences to your friend explaining the error. Then, rewrite the expression 5(x + 2) correctly.
Answer:
answer: 5x + 10
Step-by-step explanation:
The distributive property (of which this is an example) demands that the 5 must multiply the x (which was done correctly) to give 5x
But the problem becomes undone when you forget about the 2. You must multiply the 2 by 5 as well to give 10.
The plus sign cannot be destroyed. The terms are not alike. So the answer is 5x + 10
will mark brainlist
Which of the following represents a function?
Answer:
Option D. is the answer.
Step-by-step explanation:
Option A.
From the table we can see that for the value of x = 3, there are two values of y (14 and 19).
Which is not possible for a function. It should be one to one.
So option A is not a function.
Option B.
In this option again we have two values of y = 0, -5 for the value of x = 3.
For a function values of x and y should be one to one.
Therefore, it's not a function.
Option C.
Here for x = -1, there are two values of y (y = -11 and 5).
Therefore, it's not a function.
Option D.
In the given graph we find that there are different values of y for every value of x.
Therefore, Option D is the answer.
A sector has a radius of 15 centimeters and an angle of 48°. Find its arc length.
Answer:
4pi or 12.57 cm
Step-by-step explanation:
Step 1 : Write the formula of arc length
Arc length = x°/360° x Circumference
Circumference = 2pir
Arc length = x°/360° x 2pir
Step 2 : Substitute the given values in the formula
x = 48°
r = 15 cm
Arc length = 48°/360° x 2pi(15)
Arc length = 4pi or 12.57 cm
!!
11. Write 5 equivalent fractions for
• 6/7.
[tex]\huge{\boxed{\frac{12}{14}}} \huge{\boxed{\frac{18}{21}}} \huge{\boxed{\frac{24}{28}}} \huge{\boxed{\frac{30}{35}}} \huge{\boxed{\frac{36}{42}}}[/tex]
One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.
For example, for the first answer, [tex]\boxed{\frac{12}{14}}[/tex], I simply multiplied the numerator and denominator each by 2. This gives you an equivalent fraction.
You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.
Step-by-step explanation:
[tex]\dfrac{6}{7}=\dfrac{6\cdot2}{7\cdot2}=\dfrac{12}{14}\\\\\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\\\\\dfrac{6}{7}=\dfrac{6\cdot4}{7\cdot4}=\dfrac{24}{28}\\\\\dfrac{6}{7}=\dfrac{6\cdot5}{7\cdot5}=\dfrac{30}{35}\\\\\dfrac{6}{7}=\dfrac{6\cdot6}{7\cdot6}=\dfrac{36}{42}\\\\\dfrac{6}{7}=\dfrac{6\cdot7}{7\cdot7}=\dfrac{42}{49}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot10}{7\cdot10}=\dfrac{60}{70}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot100}{7\cdots100}=\dfrac{600}{700}\\\vdots[/tex]
Find the domain of each function using interval notation. (Please help I have an exam tomorrow and I’m really stuck)
Answer:
For number 9)
Interval notation [tex](-\infty,3][/tex]
For number 10)
Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].
Step-by-step explanation:
On square roots you have to make sure the inside is positive or zero.
So the domain of the first one will come from solving
[tex]6-2x \ge 0[/tex]
Subtract 6 on both sides:
[tex]-2x \ge -6[/tex]
Divide both sides by -2 (flip inequality when divide both sides by negative):
[tex]x \le 3[/tex]
The domain is less than or equal to 3.
Interval notation [tex](-\infty,3][/tex]
On fractions you have to watch out for dividing by 0.
The domain is all real numbers except when 4x+2=0.
4x+2=0
Subtract 2 on both sides:
4x=-2
Divide both sides by 4:
x=-2/4
Reduce:
x=-1/2
The domain is all real numbers except when x=-1/2
Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].
Answer:
9. [tex] (-\infty, 3] [/tex]
15. [tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]
Step-by-step explanation:
9.
The function has a square root. Since you cannot take the square root of a negative number, the expression in the root must be non-negative.
[tex] 6 - 2x \ge 0 [/tex]
[tex] -2x \ge -6 [/tex]
[tex] x \le 3 [/tex]
[tex] (-\infty, 3] [/tex]
15.
There is a denominator int he function. The denominator cannot equal zero. Set the denominator equal to zero to find out the value that must be excluded from x.
[tex] 4x + 2 = 0 [/tex]
[tex] 4x = -2 [/tex]
[tex] x = -\dfrac{1}{2} [/tex]
[tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]
To convert 5.25 minutes to seconds, you would use the ratio =
seconds, you would use the ratio 1 second
60 minutes
A. True
B. False
The correct option is b). The statement is False, it incorrectly describes the method for converting minutes to seconds.
To convert minutes to seconds, you multiply by 60 because there are 60 seconds in one minute.
So, to convert 5.25 minutes to seconds:
[tex]\[ 5.25 \text{ minutes} \times 60 \text{ seconds/minute} = 315 \text{ seconds} \][/tex]
Therefore, 5.25 minutes is equal to 315 seconds.
Regarding your original question about the statement:
To convert 5.25 minutes to seconds, you would use the ratio [tex]\( \frac{1 \text{ second}}{60 \text{ minutes}} \).[/tex]
This statement suggests using a ratio, which is not correct for converting minutes to seconds. Instead, you should use multiplication by 60 seconds per minute.
whats 85 percent of 250
Answer:212.5
Step-by-step explanation:85/100×250
=212.5
85 percent of 250 results in 212.5.
To find 85 percent of 250, follow these steps:
Change the percentage to a decimal by dividing by 100: 85% = 85 / 100 = 0.85
Multiply the decimal by the number: 0.85 x 250
Calculate the product: 0.85 x 250 = 212.5
Therefore, 85 percent of 250 is 212.5.
For example, if 250 students are surveyed, then 212.5 students would represent 85 percent of the surveyed group.
help asap
which of the following shows an element of the sample space for first rolling a number cube and then shooting a basketball? (X = make, O= miss)
A.) O, 2
B.) X, O
C.) 1, T
D.) 6, X
Answer:
option D
Step-by-step explanation:
As the sample space is for first rolling a number cube and then shooting a basketball, it should be a number n , and X/O
where n= 1,2,3,4,5,6
of the given options
A) 0,2 is incorrect as O of basketball is first and then there is 2
of cube
B) X,O is incorrect because both are from shooting basket ball
C)1,T is incorrect as T is not from the basketball.
only D is correct 6,X!
Option D.) 6, X correctly represents an element of the sample space for rolling a number cube followed by shooting a basketball, including an outcome of rolling a 6 and then making the shot
The question relates to an understanding of sample spaces in probability. The sample space is a set of all possible outcomes of a probability experiment. In this case, the experiment consists of two independent actions: rolling a number cube (commonly a six-sided die) and shooting a basketball with two possible outcomes (making a shot 'X' or missing 'O').
A correct element of the sample space would include one outcome from rolling the die (1 through 6) and one outcome from shooting the basketball (X or O). For example, rolling a 1 on the die and making the basketball shot (X) would be represented as (1, X). Therefore, the correct answer to the question is option D.) 6, X, which shows an outcome of rolling a 6 on the die followed by making the basketball shot
f(x)=25x^2-10x+1
what is the value of the discriminant of f?
how many x-intercepts does the graph of f have?
The discriminant of the quadratic function f(x) = 25x² - 10x + 1 is equal to zero. Hence, the graph of this function has only one x-intercept.
Explanation:The student is asking for the value of the discriminant of the quadratic function f(x) = 25x² - 10x + 1 and the number of x-intercepts the function has. In a quadratic function ax²+bx+c, the value of the discriminant, denoted as D, is calculated using the formula D = b² - 4ac. In this case, a = 25, b = -10, and c = 1.
Therefore, the discriminant D = (-10)² - 4(.25)(1) = 100 - 100 = 0. The quadratic equation will have exactly one root if the discriminant is zero.
Thus, "the graph of the function f(x) = 25x² - 10x + 1 has one x-intercept".
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The value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.
1. The value of the discriminant [tex](\(\Delta\))[/tex] of the quadratic function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex] is [tex]\(b^2 - 4ac\),[/tex] where a, b and c are coefficients in the quadratic equation [tex]\(ax^2 + bx + c = 0\)[/tex].
2. The number of x-intercepts the graph of \(f\) has is determined by the discriminant:
- If [tex]\(\Delta > 0\)[/tex], there are two distinct x-intercepts.
- If [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept (the graph touches the x-axis but does not cross it).
- If [tex]\(\Delta < 0\)[/tex], there are no x-intercepts (the graph does not intersect the x-axis).
1. Calculate [tex]\(\Delta\)[/tex]: In the given function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex], [tex]\(a = 25\),[/tex] [tex]\(b = -10\),[/tex]and [tex]\(c = 1\)[/tex]. Plug these values into the discriminant formula: [tex]\(\Delta = b^2 - 4ac\).[/tex]
[tex]\[\Delta = (-10)^2 - 4(25)(1) = 100 - 100 = 0\][/tex]
2. Analyze the number of x-intercepts based on \(\Delta\):
- Since [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept.
Therefore, the value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.
the order of matrix A + B is...
Answer:
[4, 1]
Step-by-step explanation:
Here we have four rows and one column, so the order of A + B is [4, 1].
Please hurry!!
What is the measure of angle BCD? 25 40 140 155
Answer:155
Step-by-step explanation:
The measure of angle BCD is 140°.
Quadrilaterals
Quadrilaterals are geometric figures with 4 sides and 4 angles. And, for these figures, the sum of interior angles is 360°. There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles.
Supplementary AnglesSupplementary angles are two angles whose sum is equal to 180°.
For solving this question, you should find the supplementary angle for A, B and D angles.
Angle A A+25=180A=180-25=155°
Angle BB+146=180
B=180-146=34°
Angle DD+149=180
B=180-149=31°
After that, find the angle C from a property of quadrilaterals - sum of interior angles is 360°. Thus,
A+B+C+D=360
155+34+C+31=360
C=360-31-34-155
C=140°.
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ASAP!! What is the parabola’s line of symmetry?
y-axis
x-axis
x = p
x = -p
Answer:
y-axis
Step-by-step explanation:
..................
Answer:
A) y-axis.
Explanation:
An angle measures 3pi/4 radians.
What is this angle's measure, in degrees?
Answer:
135°
Step-by-step explanation:
To convert from radian measure to degree measure
degree measure = radian measure × [tex]\frac{180}{\pi }[/tex], so
degree = [tex]\frac{3\pi }{4}[/tex] × [tex]\frac{180}{\pi }[/tex]
Cancel π on numerator/denominator and 4, 180 by 4, leaving
degree = 3 × 45 = 135°
Answer:
1 radian = 180 / PI degrees
3 PI / 4 radians * 180 / PI the "PI's" cancel and we get
3 / 4 * 180 = 135 degrees
Step-by-step explanation:
What is the y-value of the solution to the system of equations?
3x + 5y = 1
7x + 4y = -13
لن ير
ا n
Answer:
{x = -3 , y=2 (Isolved for both variables be elimination)
Step-by-step explanation:
Solve the following system:
{3 x + 5 y = 1 | (equation 1)
7 x + 4 y = -13 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 4 y = -13 | (equation 1)
3 x + 5 y = 1 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{7 x + 4 y = -13 | (equation 1)
0 x+(23 y)/7 = 46/7 | (equation 2)
Multiply equation 2 by 7/23:
{7 x + 4 y = -13 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{7 x+0 y = -21 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 7:
{x+0 y = -3 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = -3 , y=2
Answer:
y = 2Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}3x+5y=1&\text{multiply both sides by 7}\\7x+4y=-13&\text{multiply both sides by (-3)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}21x+35y=7\\-21x-12y=39\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad23y=46\qquad\text{divide both sides by 23}\\.\qquad\qquad y=2[/tex]
If you want to solve it to the end, put the value of y in the first equation and solve it for x.
3x + 5(2) = 1
3x + 10 = 1 subtract 10 from both sides
3x = -9 divide both sides by 3
x = -3
Organizing a data set allows you to do each of the following except:
A. see important values in the data set
B. take up less space than when the data set is not organized
C. more easily see the maximum and minimum values in the data set
D. see if any data values are much larger or much smaller than other data values
Answer:
B. take up less space than when the data set is not organized
Step-by-step explanation:
Well, in this question, you can analyze one answer after the other.
In A see important values in the data set, this makes sense when determining mode and median of a data set.Median is the center value in a data set, while mode is the repeated value in the set.When data set is arranged from smallest to the largest, the median and mode can be seen clearly.These can be the important values in the data set
In C. More easily see the maximum and minimum values in the data set, is possible especially when data is arranged in an increasing order.The smallest value will start, where as the largest value will be at the end.This applies to D too.
However in B, it will depend with the manner you would like to analyze the data.For example organizing data using tables will make your data easy to understand and present your analysis.Another person will group the data in intervals to identify the frequency of in data set.So, you see, its not about space taken by data but how you would like to present your data when analyzing it.
Hope this helps.
Use the buttons below to build an equation with words and symbols.
Answer:
1. Length when found = length at birth + (age when found × growth each year); 2. 6.3 yr
Step-by-step explanation:
1. The word equation
Length when found = length at birth + (age when found × growth each year)
2. The calculations
5 m = 2.6 m + (age when found × 0.38 m/yr)
Do the multiplication first (PEMDAS)
5 m = 2.6 m + 0.38 × age when found m/yr
Subtract 2.6 m from each side of the equation
2.4 m = 0.38 × age when found m/yr
Divide each side by 0.38 m/yr
6.3 yr = age when found
The killer whale is 6.3 yr old.
what are the zeros of the function?
f(x)=x^2+7x-60
Answer:
(-12, 0) and (5, 0)
Step-by-step explanation:
f(x) = x² + 7x − 60
Here, a = 1, b = 7, c = -60. Using the AC method, we need to find factors of a×c that add up to b.
12 × -5 = -60
12 + -5 = 7
The factors are 12 and -5.
f(x) = (x + 12) (x − 5)
The zeros are:
x + 12 = 0, x − 5 = 0
x = -12, x = 5
The zeros are (-12, 0) and (5, 0).
[tex]x^2+7x-60 =0\\x^2-5x+12x-60=0\\x(x-5)+12(x-5)=0\\(x+12)(x-5)=0\\x=-12 \vee x=5[/tex]
Which are the possible side lengths of a triangle?
3 cm, 5 cm, 9 cm
4 cm, 8 cm, 10 cm
6 cm, 9 cm, 17 cm
8 cm, 10 cm, 18 cm
The only option that is a triangle from the given options is; 4cm, 8cm, 10 cm
How to identify a triangle?A triangle is a plane shape with three sides which could all be equal or have 2 equal or have no equal sides.
Now, we know a triangle to be one if the sum of two smallest sides is greater than the longest side.
Thus, only option B can B a triangle because the sum of 4cm and 8cm is 12 cm which is greater than 10 cm.
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108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books,
(ii) the number of such books that have a mass
of 20 kg.
Answer:
The mass of 150 books = 41.7kg
The number of books that have mass 20kg = 72 books
Step-by-step explanation:
(I) Number of identical books = 108
Mass of books = 30 kg
Mass of 150 books = ?
Let the mass of 150 books = x kg
To find the mass of 150 books we will use ratio and proportion:
108 books: 30kg = 150 books: x kg
You can also write it like this because ratio can be written in division:
108/30 = 150/x
By cross multiplication:
108x = 150*30
108 x= 4500
Divide both sides by 108
108 x/108 = 4500/108
x= 41.7
Thus the mass of 150 books = 41.7kg
( ii ) The number of books that have a mass of 20 kg = ?
Let assume that the number of books of mass 20 kg = y books
We will again use ratio and proportion method.
108 books: 30kg = y: 20kg
We can write it as:
108/30 = y/20
By cross multiplication:
108 *20 = 30y
2160= 30y
Divide both the terms by 30
2160/30 = 30y/30
72 = y
Therefore the number of books that have mass 20kg = 72 books ....
what are measures of central tendency
Answer:
Is a Mean, Median and Mode
Is also a summary statistics that presents the center point or typical value off a dataset.
Answer is attached in the image provided.
Kevin operates a movie theater that sells about 800 tickets per day for $8 each. Kevin predicts that for each $0.50 increase in the ticket price, 40 fewer tickets will be sold. Let x represent the number of $0.50 price increases and f(x) represent the total earnings from ticket sales.
f(x)=-20x^2+80x+6400
Kevin wants to determine the best potential earnings from ticket sales each day.
Complete the following statement for this situation.
The function reveals that the (minimum or maximum) earnings from ticket sales will be (320,6400,6480 or 720$) after(6,8,4 or 2) $0.50 price increases.
Answer:
The function reveals that the maximum earning from ticket sales will be $6480 after 2 ($0.50) price increases
Step-by-step explanation:
* Lets explain how to solve the problem
- The function f(x) = -20x² + 80x + 6400 represents the total
earnings from ticket sales and x represents the number of $0.50
price increases
∵ f(x) is a quadratic function
∵ The coefficient of x² is -20
∴ The function has a maximum value
- The vertex of the quadratic function f(x) = ax² + bx + c is (h , k),
where h = -b/2a and k = f(h)
* Lets find the maximum point of f(x)
∵ a = -20 , b = 80
∵ h = -b/2a
∴ h = -(80)/2(-20) = -80/-40 = 2
∵ k = f(h) and h = 2
∴ f(2) = -20(2)² + 80 (2) + 6400
∴ f(2) = -80 + 160 + 6400
∴ f(2) = 6480
∴ k = 6480
* The function reveals that the maximum earning from ticket sales
will be $6480 after 2 ($0.50) price increases
Answer:
maximum, 6480, two
if m<1=40 and m<2=80, what is m<3?
Answer:
60 degrees, 55 degrees, and 50 degrees respectively
Step-by-step explanation:
Equation: m<1+m<2+m<3=180
1. 40+80+x=180 Subtract 120(because 40+80=120)
x=60
2. 50+75+x=180 subtract 125 (50+75=125)
x=55
3. 50+80+x=180 subtract 130 (50+80=130)
x=50
Answer:
50
Step-by-step explanation:
sorry if wrong pls mark brainliest