Answer:
A. 12.78
Step-by-step explanation:
4 shirts for 21.83 = 87.32
87.32 + 42.38 + 74.78 = 204.48
204.48 x 0.0625 = 12.78
simplify 0.0612/1.02
Answer:
0.06
Step-by-step explanation:
2. Create a matrix for the teams and name it B. What are the dimensions of matrix B? Enter your matrix as part of your answer.
The matrix is
[ 3 1 2 1 ]
[ 2 3 2 0 ]
The matrix A = [ 0 2 4 2 ]
[ 1 2 3 1 ]
Danny got first place 3 times, second place 1 time, third place 2 times, and fourth place 1 time.
John got first place 2 times, second place 3 times, third place 2 times, and he never placed fourth.
Kenny never placed first, but got second place 1 time, third place 4 times, and fourth place 2 times.
Sean got first place 1 time, second place 2 times, third place 3 times, and fourth place 1 time.
Starting out, it is best to label your rows and columns so that your matrices make sense in the context of the problem:
1st place 2nd place 3rd place 4th place
Danny 3 1 2 1
John 2 3 2 0
Kenny 0 2 4 2
Sean 1 2 3 1
[ 3 1 2 1 ]
[ 2 3 2 0 ]
Therefore, The matrix A = [ 0 2 4 2 ]
[ 1 2 3 1 ]
To learn more martix refer here
https://brainly.com/question/11989522
#SPJ9
Let f(x) = 3x + 2 and g(x) = - 2x + 1 Find g(f(- 2))
is it
a: -7
b: 17
c: 0
d:9
Answer:
(d) 9
Step-by-step explanation:
f(x) = 3x + 2
g(x) = - 2x + 1
g(f(x)) = - 2(3x + 2) + 1 = - 6x - 4 + 1 = - 6x - 3
g(f(-2)) = - 6(- 2) - 3 = 9
A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
Complete the table to show the relationship between the amounts of salt and water in the stew recipe. Enter a number in each box.
Can someone please help me quickly!! And also let me know if I got the first 2 correct
The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.
What is the amount of salt?A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
There is a ratio issue here.
As X is to three, 3 is to 4.
3 : 4 :: X : 3
To eliminate the fractions, multiply each integer in the ratio by 12.
9 : 12 :: 9X : 12
This is a portion of what is
9 / 12 = 9X / 12
to obtain, cross-multiply.
9 / 12 = 3 teaspoons of salt,
Check: 3 cup of flour yields 3 cups, which is a 4x increase.
The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.
The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.
To learn more about ratio refer to:
https://brainly.com/question/2328454
#SPJ1
Help solve for X. I will give brainliest to the best answer!!! PLEASEEEE
Answer:
8
Step-by-step explanation:
So first do 104+76+104=284
Now form the equation 10x-4+284=360
It is 360 because this is a quadrilateral.
Now combine like terms.
10x+280=360
10x=80
x=8
Check 80-4=76
The other angle is 76 so you know your answer is correct
QUESTION DOWN BELOW! PLEASE HELP WILL GET 100 POINTS IM STUCK PLEASE HELP EXPLAIN ITS DUE SOON!!
many thanks!!!
1) given
2) base angles theorem
3) PN=QN
4) \(\angle 3=\angle 4\)
5) MP=OQ
7) PQ, QP
8) MQ=PO
9) ASA
What number line represents the solution for the inequality -1\2x>4
Answer:
Step-by-step explanation:
-1\2x>4
-x> 8
x < -8
The one without a shaded knob starting from -8 on the x-axis; projecting leftward.
Calculate the average speed between 120 s and 160 s
Average Speed = Total Distance / Total Time
Given:Total Distance = 150 m
Total Time = 160 - 120 = 40 s
To Find:Average Speed
Solution:Average Speed = 150/40
Average Speed = 3.75 m/s
Answer:3.75 m/s
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
Read more about tangent lines at
https://brainly.com/question/21595470
#SPJ1
a student claimed that the function shown in the table is exponential. do you agree or disagree? explain
The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.
The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).
The constant ratio between consecutive x-values indicates exponential growth or decay.
In this case, the function is growing exponentially because the y-values are increasing at a constant rate.
Based on this information, we can conclude that the function is exponential.
Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ1
What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
For more such questions on segment
https://brainly.com/question/280216
#SPJ8
A child has the magnet numbers 1 through 50 on their fridge. What is the probability that the child will choose a number that is not a multiple of 9?
The probability that the child will choose a number that is not a multiple of 9 is 90%.
What is probability?Probability refers to the chance or likelihood that an expected outcome occurs when multiple developments or events could have happened.
Probability describes the ratio between expected favorable outcomes and possible outcomes.
Probability as a ratio is described as a fractional value when it is not 100% certain or uncertain.
In such cases, probability hovers between zero and 1.
The multiples of 9 from 1 through 50 are five (9, 18, 27, 36, and 45).
The other numbers from 1 to 50 are 45 (50 - 5).
The probability of choosing a multiple of 9 is 10% (5/50 x 100).
The probability of choosing a number that is not a multiple of 9 is 90% (45/50 x 100) or (1 - 0.05).
Thus, the probability that the child chooses a non-multiple of 9 between 1 and 50 is 90%.
Learn more about probability at https://brainly.com/question/24756209
#SPJ1
Someone please help and show work
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
Function and notaion.
Answer: 45
Step-by-step explanation:
Function notation: is another way of writing a function to make it easy to understandInstead of the independent and dependent variables being x and y they are now x and f(x)f(x) can be interpreted as the y value at a given x value in this case f(-5) must be solved for, essentially saying what is y when the x value is -5\(f(-5)=2(-5)^{2} -5\)
\(f(-5)= 2(25) -5\)
\(f(-5) = 50-5\)
\(f(-5) = 45\)
write the equation of the line that passes through the following points: (3,6) (6,7)
The equation of the lien that passes through two coordinates:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)_{}\)Given coordinates : (3,6) (6,7)
\((x_1,y_1)=(3,6)(x_2,y_2)=(6,7)\)Substitute the values and simplify:
\(\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)_{} \\ y-6=\frac{7-6}{6-3}(x-3) \\ y-6=\frac{1}{3}(x-3) \\ 3(y-6)=(x-3) \\ 3y-18=x-3 \\ x-3y-3+18=0 \\ x-3y+15=0 \end{gathered}\)The equation of the line that passes through the following points: (3,6) (6,7) is x - 3y + 15 = 0
Answer: x - 3y + 15 = 0
Three students that share a townhouse find that their electric bill for October is $2.23 less than the September bill. The
total of both bills is $292.43, and each bill is split evenly among the roommates. How much did each owe in September?
Answer:
$47.48
Step-by-step explanation:
Let x = the amount owed Sept.
x + x - 2.23 = 292.43 Combine like terms
2x -2.23 = 292.43 Add 2.23 to both sides
2x - 2.23 + 2.23 = 292.43 + 2.23
2x = 294.66 Divide both sides by 2
\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)
x = 147.33 this is the bill for September
Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.
Total:
147.33 + 145.10 = 292.43
292.43 ÷ 3 = 97.48 This is what each will owe rounded to the nearest penny.
The grades in period 3 Algebra 2 have an average of 82% and vary by 12 percentage points. Formulate an absolute value equation that could be used to solve for the maximum and minimum grade.
|x______ | = _______
x = __________ (smaller number here)
x = _______ (larger nember here)
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Answer:
\(|x - 85| = 12\)
\(x = 73 \ (smaller\ number )\)
\(x = 97 \ (larger \ number )\)
Step-by-step explanation:
From the question we are told that
The grade is \(k = 85\%\)
The variation is \(v = 12 \%\)
Generally the absolute value equation is mathematically represented as
\(|x - 85| = 12\)
=> \(x -85 = \pm 12\)
So
\(x = 85 + 12\)
\(x = 97 \ (larger \ number )\)
And
\(x = -12 + 85\)
=> \(x = 73 \ (smaller\ number )\)
WILL GIVE BRAINLIEST !!!!!!!!!
Elevator Task: Tyler’s soccer team is staying at a high-rise hotel in San Diego for a tournament. Tyler leaves his hotel room and gets on the elevator to gather his team. He goes down 6 floors to Ethan’s room and then up 4 floors to Jose’s room. Next they go up 5 floors to get their coach, and then they go down 8 floors to the assistant coach’s room. Lastly, they go down 3 floors and end up in the lobby. What floor is Tyler’s hotel room on?
Answer:
8
Step-by-step explanation:
x-6+4+5-8-3=0
x-8=0
x=8
Sadie is going to see a movie and is taking her 4 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $4.50 each. How much total money would Sadie have to pay for her family if she were to buy 6 snacks for everybody to share? How much would Sadie have to pay if she bought x x snacks for everybody to share?
Answer: 102 dollars/4.5x+75
Step-by-step explanation: Your question isn't really straightforward, x x snacks for everybody to share? Please elaborate, and are they talking about the total cost, or just the cost of 6 snacks?
First, we have to take into account that if SADIE is taking her FOUR kids, there will be 5 people.
Cost of tickets is equal to $15 per one, and
5x (where x=15, per 5)
5(15)=75, and now onto the snacks
4.5x2=9, and 6/2=3, so 9x3=27, or 4.5x6=27
75+27=102
then for x snacks, if 1 snack costs 4.5 dollars than it'd be 4.5x (x number of snacks)+75 to find the total cost with tickets and all.
Consider the function graph outlined
above (image). Determine the limits, if any, and
the indicated function values.
1.
a) lim g(x)
X->2
b) lim g(x)
X->3
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a ) -3
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
b ) Not exist because x = -3 is not in the domain.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which is the best estimate for 19% of 205?
A- 40
B- 50
C- 100
D- 400
The best estimate for expression of 19% of 205 is 40.
Option A is the correct answer.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
To find a percentage of a number, we can convert the percentage to a decimal by dividing it by 100.
In this case, we want to find 19% of 205.
To do this, we first convert 19% to a decimal by dividing it by 100:
19 ÷ 100 = 0.19
This tells us that 19% is equivalent to 0.19 as a decimal.
Next, we multiply the decimal by the given number, which in this case is 205:
205 x 0.19 = 38.95
Therefore,
The best estimate for 19% of 205 is 40.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
What is the best estimate for 7.8 x 37.86?A.46B.50C.300D.400
We can round both numbers to the nearest integer, therefore
\(\begin{gathered} 7.8\rightarrow8 \\ 37.86\rightarrow38 \end{gathered}\)Therefore
\(\begin{gathered} 7.8\cdot37.86\approx8\cdot38 \\ \end{gathered}\)And
\(8\cdot38=304\)Therefore 7.8 x 37.86 is something near 300. The correct answer is the letter C.
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .
Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.
Consider the number rh = r + h. We have:
(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16
= r^2 + 2 + (2 - r^2)/16
< 2 + 2 + (2 - 2)/16 = 2.
Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.
Step-by-step explanation:
this is serious pls help ASAPPPPPPPPPPPPPPPPPPPPPP its due in 25 mins
Answer:
14,641
Step-by-step explanation:
11^4 = 11 × 11 × 11 × 11 = 121 × 11 × 11 = 1331 × 11 = 14,641
Answer:
14,641
Step-by-step explanation:
10^4 = 10000
11^4 > 10 ^4 so A is the answer
The radius of a circle is 19 cm. Find the area
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
Here is a table that shows students scores for 10 rounds of a video game. What is the median score?
145 is the median :)
Answer:
145
Step-by-step explanation:
130 + 150 + 120 + 170 + 130 + 120 + 160 + 160 + 190 + 140 = 1470
1470 ÷ 10 = 145
College tuition: A simple random sample of 35 colleges and universities in the United States has a mean tuition of $19,300 with a standard deviation of
$10,800. Construct a 95% confidence interval for the mean tuition for all colleges and universities in the United States. Round the answers to the nearest whole
number.
A 95% confidence interval for the mean tuition for all colleges and universities is
Answer:
The 95% confidence interval for the mean tuition for all colleges and universities in the United States is between $15718 and $22882.
Step-by-step explanation:
Sample size greater than 30, which means that we use the normal distribution to find the interval.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
α = (1 - 0.95) / 2
= 0.025
Now, we have to find z in the table as such z has a pvalue of . So it is z with a pvalue of 1 - 0.025 = 0.975.
So, z = 1.96
Now, find M as such
M = z * (σ / √n )
In which σ is the standard deviation of the population and n is the size of the sample.
M = 1.96 * ( 10800 / √35 )
M = 3581.72
M ≈ 3582
The lower end of the interval is the sample mean subtracted by M. So it is 19300 - 3582 = $15718.
The upper end of the interval is the sample mean added to M. So it is 19300 + 3582 = $22882.
The 95% confidence interval for the mean tuition for all colleges and universities in the United States is between $15718 and $22882.
To know more about interval check the below link:
https://brainly.com/question/28112305
#SPJ13
A package of 6 pairs of insulated gloves costs $34.14 What is the unit price of the pairs of gloves?
The unit price is $____per pair of gloves.
On a map, 1 inch equals 20 miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: 60 miles
Step-by-step explanation:
1 in. times 3 = 3 in
20 mi times 3 = 60 mi.