Answer:
add pic
Step-by-step explanation:
Answer:
m=6.5
Step-by-step explanation:
thats what you type in
What is the x xx-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
The graph is a line so it will have an equation with this form:
y = mx+b
m is the slope and b is the y-intercept.
Let's calculate m:
● m = (-32-(-64))/(-9-(-21)) = 8/3
Now replace m with its value and x,y with coordinates of a point.
● -32 = (8/3)*(-9) +b
● -32 = -24 +b
● -32+24 = b
● -8 =b
Solve y = 0
●(8/3)*x+b = 0
● (8/3) *x = 8
● x = 3
The coordinates of the x-intercept are (3,0)
please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)
The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
So the line we want has equation
r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)
where t is any real number.
The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
What is a vector equation?A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.
Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
r(t) = q*t + p
r(t) = (14, -8)t + (-4, 12)
r(t) = (14t - 4, 12-8t)
where t is any real number
Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
Learn more about vector equations on:
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Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?).
Answer:
see explanation
Step-by-step explanation:
GC = 11B + 1D
WS = 9B + 2D
Linear equations will point downward
Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.
The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -15, -11, -7, ...? an = -15 + (-4)(n - 1) an = -15 + (n - 1) an = 4 + (-15)(n - 1) an = -15 + 4(n - 1)
Answer:
4n
Step-by-step explanation:
Answer:
The 4th choice
Step-by-step explanation:
To figure this out you would have to just lug in all of the numbers into the equation to find the correct answer.
So first we would plug in the first number for a1 which will be -15. Then we would put in d or the common difference (the number of numbers in between the 2 numbers). So d in this case would be positive 4 since every single time the number is being added to 4.
Now we can solve, so we would just find all of the choices that do not have +4 because that will be wrong. Automatically you can see that choices 1 and 2 are wrong and 3 also looks wrong and the only one that matched our formula is 4 and 4 is the correct answer.
HELPPP HURRYYYYYY Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
Answer:
10
Step-by-step explanation:
There are 20 cubes total.
2 of the twenty are green.
2/20=10%
10% of 100 is 10
Answer:
Step-by-step explanation:
So, In all there are 20 cubes, And If they are making 100 pulls then it could be put into a percent. So 10 would be 50%, 2 would be 5%, and 8 would be 45%, so it would be pulled 5 times. Hope This Helps Dreamer!
Write the function f(x) = x^2 + 8x + 12 in vertex form. Enter all work. Please help me.
Hello!
Answer:
f(x) = (x + 4)² - 4
Step-by-step explanation:
Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:
f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²
Simplify:
f(x) = (x² + 8x + 16) + 12 - 16
Subtract to find the 'k' value:
f(x) = (x + 4)² - 4. This is the equation in vertex form.
I NEED THIS ASAP, PLEASE HELP ME!!!! WILL MARK BRAINIEST IF CORRECT!!!
Write a real-world situation that includes a data set with 12 values.
Is your data set symmetric, left-skewed, or right-skewed? Explain.
Answer:
sure
Step-by-step explanation:
I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph
Write the following expressions without using absolute value. |7m–56|, if m<8
Answer:
I think you want this answer below:
Step-by-step explanation:
7m - 56 < 0 if m < 8.
Answer:
56-7m
Step-by-step explanation:
The area of rhombus ABCD is 120 square units. AE = 12 and BD = x – 2. What is the value of x and the length of segment BD?
Answer:
its a
Step-by-step explanation:
Answer:
X=12 BD=10
Step-by-step explanation:
See Above
Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10.
Answer:
212
Step-by-step explanation:
3m² + 2p² - 15
Plug in the values.
3(3)² + 2(10)² - 15
Evaluate.
3(9) + 2(100) - 15
27 + 200 - 15
200 + 12
= 212
Answer: 212
Step-by-step explanation:
substitute the given values into the expression
3 ( 3 ) ^ 2 + 2 (10)^ 2 − 15 =
(3 ×9 ) + (2 × 100 ) - 15
= 27 + 200 - 15 =212
Hope this helped
5. A biologist is measuring the lengths of frogs in a certain location. The lengths
of the frogs have a mean of 7.4 centimeters and a standard deviation of 0.8
centimeters. What is the probability that a randomly selected frog will measure
between 5.8 cm and 8.2 cm?
Your answer
6. Using the data from question #5, what is the probability that a randomly
selected frog will measure less than 6.6 cm?
Your answer
7. Using the data from #5, if 100 frogs are measured, how many of them would
you predict to measure longer than 8.2 cm?
Your answer
Answer:
Question
5) 0.81859
6) P(x<6.6) = 0.15866
7) 15.866 frogs would be longer than 8.2cm
Step-by-step explanation:
5. A biologist is measuring the lengths of frogs in a certain location. The lengths
of the frogs have a mean of 7.4 centimeters and a standard deviation of 0.8
centimeters. What is the probability that a randomly selected frog will measure
between 5.8 cm and 8.2 cm?
Using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
z1 = (x-μ)/σ
x is the raw score = 5.8cm
μ is the population mean = 7.4cm
σ is the population standard deviation. = 0.8cm
= 5.8 - 7.4/0.8
= -2
Using a z score table to find the probability of -2
P(z = -2) = 0.02275
z2 = (x-μ)/σ,
x is the raw score = 8.2cm
μ is the population mean = 7.4cm
σ is the population standard deviation. = 0.8cm
z = 8.2 - 7.4/0.8
z = 1
Using the Z-Table to find the probability
P(z = 1) = 0.84134
Hence, the probability that a randomly selected frog will measure between 5.8 cm and 8.2 cm is calculated as:
0.84134 - 0.02275 = 0.81859
6. Using the data from question #5, what is the probability that a randomly
selected frog will measure less than 6.6 cm?
Your answer
Using z score formula
z = (x-μ)/σ, where
x is the raw score = 6.6cm
μ is the population mean = 7.4cm
σ is the population standard deviation. = 0.8cm
z1 = (x-μ)/σ
= 6.6 - 7.4/0.8
= -1
Using the Z-Table to find the probability a randomly selected frog will measure less than 6.6 cm
P(x<6.6) = 0.15866
7. Using the data from #5, if 100 frogs are measured, how many of them would you predict to measure longer than 8.2 cm?
z = (x-μ)/σ,
x is the raw score = 8.2cm
μ is the population mean = 7.4cm
σ is the population standard deviation. = 0.8cm
z = 8.2 - 7.4/0.8
z = 1
Using the Z-Table to find the probability
P(x<8.2) = 0.84134
To find the probability of frogs that would be longer than 8.2cm
P(x>8.2) = 1 - P(x<8.2) = 0.15866
To calculate the number would be predicted to measure longer than 8.2 cm is :
0.15866 × 100 = 15.866% is longer than 8.2cm
Therefore,
15.866% × 100 frogs = 15.866 frogs.
Which sign makes this number sentence true? |-101| __ -85 A. > B. < C. = D. x
Answer:
|-101| > -85
Step-by-step explanation:
|-101| __ -85
The absolute value is taking the positive value
101 __ -85
101 is greater than -85
|-101| > -85
Answer:
>
Step-by-step explanation:
Find the value of x needed to make the equation below true.
Answer:
x= -3
Step-by-step explanation:
distribute and get -6x+20+4x=26
then simplify and get -2x=6
simplify again and get x=-3
Answer:
x= -3
Step-by-step explanation:
-4(1.5x-5)+4x=26
Simplify the problem:
-2x+20=26
Subtract 20 from both sides:
(-2x+20)-20=(26)-20
Simplify:
-2x=6
Divide both sides by -2
(-2x)/-2=(6)/-2
Simplify:
x=-3
I hope that was helpful! (Brainliest???) :P
The taxi fare in Gotham City is $2.40 for the first ½ mile, and each additional mile costs $0.20. You plan to give the driver a $2.00 tip. How many miles can you ride for $10.00?
Answer:
He can ride for 28 miles
Step-by-step explanation:
Total cost of the ride = $ 10
Tips = $ 2
Cost of ride excluding tips = 10 - 2 = $ 8
Taxi fare for first 500 miles = $ 2.40
Taxi fare excluding first 500 miles = 8 - 2.40 = $ 5.60
distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile
= 5.60 ÷ 0.20
=28 miles
FIRST GETS BRAINLLEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
250.72
Step-by-step explanation:
the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.
Answer:
175.4
Step-by-step explanation:
50+50=100
Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4
100+75.4= 175.4
Select the arithmatic sequence from the following:
Select one:
a.-2, 3, 5, 10, 18
b.- 2.0, 8, 13, 17
C. - 2, 3, 8, 15, 20
d. - 2, 3, 8, 13, 18
Answer:
d) -2, 3, 8, 13, 18
Step-by-step explanation:
d) is the only one that has the same change each time (+5)
Answer:
[tex]\huge\boxed{d.\ where\ a_1=-2;\ d=5}[/tex]
Step-by-step explanation:
[tex]\text{If}\ a_1,\ a_2,\ a_3,\ ...,\ a_n\ \text{is an arithmetic sequesnce, then}\\\\a_2-a_1=a_3-a_2=a_4-a_1=...=a_{n}-a_{n-1}=d=constant\\\\d-\text{common difference}\\\\\text{We have:}\\\\a.\ -2;\ 3;\ 5;\ 10;\ 18\\18-10\neq10-5\\\\b.\ -2,\ 0;\ 8;\ 13;\ 17\\17-13\neq13-8\\\\c.\ -2;\ 3;\ 8;\ 15;\ 20\\20-15\neq15-8\\\\d.\ -2;\ 3;\ 8;\ 13;\ 18\\18-13=13-8=8-3=3-(-2)=5[/tex]
Help needed urgently explain how to do for each and everyone, please
Answer:
1) a0.1 = 1/10
b).0.64 = 64/ 100 = 16/25
2).a0.7841 = 7841 / 10,000
b).0.67 = 67/100
3). a0.53 = 53/100
b).0.26 = 26/100 = 13/50
4). a0.6 = 6/10 = 3/5
b.0.42 = 42/100 = 21/50
Hope this helps you
Question 4(Multiple Choice Worth 5 points)
(05.05 LC)
The base length of a triangle is 12 feet and the height is 6 feet. What is the area of the triangle?
10 square feet
12 square feet
18 square feet
36 square feet
Answer:
A = 36 ft^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 12) * 6
A = 36 ft^2
Answer:
36 square ft
Step-by-step explanation:
Find the mean of the data in the dot plot below.
Answer:
1.6
Step-by-step explanation:
So, first, write down the number of jokers in each deck of cards.
That would be: 0, 1, 2, 2, 3
Then, add up all those numbers.
0+1+2+2+3=8
Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.
8/5=1.6
So, the mean of the data in the dot plot shown is 1.6.
The mean of the data in the dot plot below is 1.6.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
Jokers in each of Marcie's decks of card would be 0, 1, 2, 2 and 3.
The mean,
= 0 + 1 + 2 + 2 + 3/5
= 8/5
= 1.6
Therefore, the mean is 1.6.
To learn more about the mean;
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Let P(A)=35 and P(B|A)=89. What is the probability of events A and B occurring?
I'm assuming you meant to say P(A) = 3/5 and P(B|A) = 8/9.
If so, then we multiply the probabilities to get P(A and B)
P(A and B) = P(A)*P(B|A)
P(A and B) = (3/5)*(8/9)
P(A and B) = (3*8)/(5*9)
P(A and B) = 8/(5*3)
P(A and B) = 8/15
Answer: 8/15The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?
Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89
Answer:
C
Step-by-step explanation:
25*0.99 = 24.75
Answer:
C
Step-by-step explanation:
Im taking the test
Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − StartRoot x EndRoot 8x3+ StartFraction 5 Over x EndFraction + 3 6x2 − 6x + 5
Answer:
[tex]6x^2 - 6x + 5[/tex]
Step-by-step explanation:
Given
List of Options
Required
Which of the options has a degree of 2
The general format of a polynomial is
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
Where n represents the degree
In this case;
n = 2
Substitute 2 for n in expression above;
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]
[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]
[tex]ax^2 + bx + c *1[/tex]
[tex]ax^2 + bx + c[/tex]
Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]
Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]
Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]
Answer:
6x^2-6x+5
Step-by-step explanation:
What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5
Answer:
Step-by-step explanation:
Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?
and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?
Answer:
c
Step-by-step explanation:
Find the distance between (16,18) and (15,43) using the distance formula. PLEASE HELP!!
Answer:
I am pretty sure it is the square root of 626
Step-by-step explanation:
Why is [tex]a^{2}*a^{-6}* a^{6}=a^{5}[/tex] correct?
Answer:
incorrect
Step-by-step explanation:
We are multiplying exponents
Since the bases are the same, add the exponents
a^2 * a^-6 * a^6
a^ ( 2+-6 +6)
a^ (2)
This does not equal a^5
Answer:
no
Step-by-step explanation:
Help me ASAP for this question? Estimate 48% of $33.95. $18 $20 $16
$17
Answer:
$16
Step-by-step explanation:
0.48 x 33.95 = 16.296
Answer:
Hey there!
48% of 33.95, is about half of 33.95. Thus, the answer is roughly equal to 16.
Hope this helps :)
A pizza shop bought a bushel of fresh vegetables. 4/15 of the bushel was used on Friday, 3/5 on Saturday and 2/15 on Sunday. How much of the bushel is left for Monday?
Answer:
None. 0.
Step-by-step explanation:
To do this problem, we have to use common denominators. So we can do 3/5*3/3=9/15. Now we just add. 4/15 + 9/15 + 2/15 = 15/15 or 1. So there were none bushels left for Monday.
Which represents the polynomial written in standard form?
Answer:
Step-by-step explanation:
b
Answer:
I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2
Step-by-step explanation:
Hi, guys whoever can help me with this question and give me the right answer, I will award brainliest. Please give answer fast. Find the value of X
Answer:
X= 65
Step-by-step explanation:
180°-50°=130 (Angles on a straight line)
2x=130 ( Corrresponding Angle)
X= 130÷ 2
= 65
Hope this helps.
Answer:
x = 65Step-by-step explanation:
In the bottom corner to find 2x you have to make an equation. So 180 - 50 = 130. 130 has the equal angle as 2x.
180 - 50 = 130
2x = 130
Simplify by dividing
2x = 130
/2 /2
x = 65Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
Step-by-step explanation:
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
A(-8,-6) ; B(-3,-6)
[tex]AB= \sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\=\sqrt{(5)^{2}+ 0}\\\\= 5 units[/tex]