Answer:
768
Step-by-step explanation:
let C represent cost and w weight, then the equation relating them is
C = kw² ← k is the constant of variation
To find k use the condition w = 20, C = 4800, that is
4800 = k × 20² = 400k ( divide both sides by 400 )
12 = k
C = 12w² ← equation of variation
When w = 8, then
C = 12 × 8² = 12 × 64 = 768
how do the functions compare over the interval 0 ≤ x ≤ 1
Answer:
The exponential grows at approximately four times the rate of the quadratic.
U.S. Population can be modeled by the function f(x)=165.6x^1.345, where f(x) is in thousand and x is the number of year after 1800. What is f(50) and what does it mean?
Answer:
f(50) = 31928.24 thousands
Therefore, it means that the US population in year 1850 is 31928.24 thousands
Step-by-step explanation:
Given the function;
f(x)=165.6x^1.345
Where;
f(x) is in thousand and
x is the number of year after 1800
To determine f(50), we will substitute x = 50 into the function of f(x);
f(50)=165.6(50)^1.345
f(50) = 31928.24 thousands
Since f(50) is the US population in year 1800+50 = 1850
Therefore, the US population in year 1850 is 31928.24 thousands
descomponer numeros decimales 56238 54100 10000 20000
Answer:
Acá tenemos numeros de 5 cifras.
los podemos componer como:
D-m-c-d-u (en orden)
D = decenas de millar
m = millar
c = centenas
d = decenas
u = unidades.
56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.
54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.
10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
Answer:
These are your answers.56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.
54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.
10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.
Step-by-step explanation:Hope this helped
HELP ME ASAP.. MY TEACHER IS ASKING FOR THE ANSWER
Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
A.) Perimeter = 46 cm, area = 131.25 cm2
B.) Perimeter = 126 cm, area = 972 cm2
C.) Perimeter = 46 cm, area = 972 cm2
D.) Perimeter = 126 cm, area = 131.25 cm2
Answer:
B
Step-by-step explanation:
4.5 x 6 = 27
4.5 x 8 = 36
27 x 2 = 54
36 x 2 = 72
54 + 72 = 126cm Perimeter/
27 x 36 = 972 cm2 Area/
How many two-digit primes have both their digits non-prime?
6 5 4 3 2
Answer:
11, 13, 17, 31, 37, 71, 73, 79, 97 are the two digit numbers which remain prime even on interchanging the digits.
Step-by-step explanation:
Find the area and perimeter of the composite shape..
Area: 68
Perimeter: 50
Which of the following equations has the solution set {0}?
A.) -14m - 7m + 1 = -7m + 1
B.) -14m + 7m + 1 = -7m + 2
C.) 14m - 7m - 1 = -7m + 1
Answer:
Option A
Step-by-step explanation:
[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]
Answer:A
Step-by-step explanation:
-14m-7m+1=-7m+1
then
-14m-7m+7m=1-1
-14m=0
m=0
enter the correct value so that the expression is a perfect square trinomial x^2 - 10x +
Answer:
25
Step-by-step explanation:
The correct value can be calculated by doing (b/2)²
In this expression, it would be (-10/2)²
Which equals 25
Answer:
x^2 -10x+25
Step-by-step explanation:
Take the coefficient of x
-10
Divide by 2
-10/2 =5
Square it
5^2 =25
Add this to make a perfect square trinomial
x^2 -10x+25
change 07 10 to 12 hour clock
Answer:
7.10a.m.
Step-by-step explanation:
Thats it , byeee
Answer:
7.10am
Step-by-step explanation:
....................
Which points are on the perpendicular bisector of the given segment? Check all that apply. (−8, 19) (1, −8) (0, 19) (−5, 10) (2, −7)
Answer:
−8, 19
1, −8
-5, 10
Step-by-step explanation:
The points that are on the perpendicular bisector of the given segment is (-5, 10)
What is the perpendicular bisector?Perpendicular bisector is defined as a line that divide an angle into two equal parts at 90 degrees.
The standard equation of a line in point-slope form is expressed as
y-y₁ = m(x-x₁)
First, we need to get the equation of the line using the coordinates (-20, 0) and (10, 15)
Get the slope of the line
m = 15-0/10-(-20)
m = 15/30
m = 1/2
The slope of the line perpendicular to the line is -2
Using the point (-5, 10) on the line, get the equation in the point-slope form:
y - 10 = -2(x + 5)
y - 10 = -2x - 10
y + 2x = -10 + 10
y + 2x = 0
y = -2x
To check which points are on the perpendicular bisector of the given segment, hence;
For the coordinate (-8, 19)
19 = -2(-8)
19 ≠ 16 (This is not a solution)
For the coordinate (1, -8)
-8 = -2(1)
-8 ≠ -2 (This is not a solution)
For the coordinate (-5, 10)
10 = -2(-5)
10 = 10 (This is a solution)
Hence, the point that is on the perpendicular bisector of the given segment is (-5, 10)
Learn more about perpendicular bisector here:
brainly.com/question/2478436
#SPJ5
Q1 Q2 – Harder brackets
Find an expression without brackets
for the area of each rectangle.
9
19
6
Q2
(x + 5)
0
13
area =
[2]
I
Answer : The area of given rectangle is p² - 7p
Step-by-step explanation :
Formula used to calculate the area of rectangle is:
Area of rectangle = length × breadth
Given:
Length = (p-7)
Breadth = p
Area of rectangle = length × breadth
Area of rectangle = (p-7) × p
Area of rectangle = p² - 7p
Therefore, the area of given rectangle is p² - 7p
A line passes through the point(8,-6) and has a slope of-5/4 . Write an equation in point-slope form for this line.
Answer:
y+6 = -5/4(x-8)
Step-by-step explanation:
The point slope form of the equation of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y --6 = -5/4 ( x - 8)
y+6 = -5/4(x-8)
please give answer please please please
Answer:
3/8
Step-by-step explanation:
for the number 1 on spinner a there are 4 possibilites.
same goes for 2,3 and 4. all in all, there is 32 posibilities total.
for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.
in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.
12/32=3/8
Answer:
Its 3/8
Step-by-step explanation:
Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.
Answer:
The equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].
and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;[tex]x + y = 30 \text{ minutes}[/tex]
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;[tex]x = 3y[/tex]
So, the equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
These equations can be solved either using the substitution method or the elimination method.
Find the range of values for which
x2–5x + 6 < 0
here, we are required to find the range of values for which
The range of values for which x²–5x + 6 < 0
is at; x < 3
x2–5x + 6 < 0
By solving the expression quadratically; we have;
x² -3x -2x +6 < 0
By factorization;
(x - 2)(x - 3) < 0
Therefore;
x < 2 and x < 3.The range of values for which x²–5x + 6 < 0
is at;
x < 3
Read more:
https://brainly.com/question/24434501
The prism is cut by a plane that is parallel to a base of the prism.
The intersection of the prism and the plane is a(*fill in the balnk*)
cross section.
Answer:
if it is a rectangular prism then it is a rectangle.
Step-by-step explanation:
Answer:
Rectangle
Step-by-step explanation:
Help Idk what this is ASAP
Answer:
A
Step-by-step explanation:
Reflected across the x-axis => but then moved up 4 units
this makes it in a way "flipped"
We see a's coordinates = (-3, 3)
b's coordinates = (-1, 1)
c's coordinates = (-2, 3)
Hope this helps!
Answer:
Choice A
Step-by-step explanation:
Step 1 - reflection across x-axis, affects y-coordinate only
(x, y) ⇒ (x, -y)Step 2- 4 units up, affects y-coordinate only
(x, -y) ⇒ (x, -y+4)So for the given points we have:
A(-3, 1) ⇒ A'(-3, -1+4)= A' (-3, 3)B(-1, 3) ⇒ B'(-1, -3+4)= B' (-1, 1)C(-2, 1) ⇒ C'(-2, -1+4)= C' (-2, 3)Choice A is correct
and, S2
inutes)
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is
shown below the column.
tion 1
tion 2
K
J
tion 3
J
K
5
13
tion 4
tion 5
K
J
L
L
tion 6
L
15
tion 7
tion 8
11
7
15
tion 9
tion 10
tion 11
What is the value of L?
tion 12
tion 13
Correct Question
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Which set of numbers does not contain 70
Answer:
No . Natural numbers are a subset of whole number. Negative numbers are entire numbers but not natural. And any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc
Step-by-step explanation:
A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars? You may round your answer to four decimal places.
Answer:
0.9432
Step-by-step explanation:
Given that
[tex]\\Mean (\mu)= 45[/tex]
[tex]Standard\;Deviation (\sigma)= 5[/tex]
Based on this, the proportion of the shirt price between the given range is
As we know that
For 37 dollars
[tex]z_{ score } = \frac{x-\mu}{\sigma}[/tex]
[tex]z = \frac{37.0-45.0}{5.0}[/tex]
[tex]z_1 = -1.6[/tex]
For 59.35 dollars
[tex]\\ z = \frac{59.35-45.0}{5.0} \\[/tex]
[tex]z_2 = 2.87[/tex]
This results into
= P(37.0 < x < 59.35)
= P(-1.6 < z < 2.87)
= P(Z < 2.87) - P(Z < -1.6)
So,
= P(37.0 < x < 59.35)
= 0.9979 - 0.0547
= 0.9432
Refer to Z score table
Can some plss help me :/
How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Answer:
D = 13 units
Step-by-step explanation:
Using Distance Formula to find the length.
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]
D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13 units
Answer:
i think its 13
Step-by-step explanation:
i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13
What is the inverse of the function f(x) = 4x + 8?
Answer:
f^-1(x) = (x-8)/4
Step-by-step explanation:
To find an inverse function, simply flip the x and y variables in a equation and then solve in terms of y.
x = 4y + 8
x - 8 = 4y
y = (x-8)/4
And we have our final answer!
2) Calculate the distance between the two points, and round your answer
to the nearest tenth: (8,5).(-1,3)
Your answer
Answer:
6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm
Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What fraction of the 400 counters is left in Ben’s bag? Give your fraction in its simplest form. (With workings out)
Answer:
2/5
Step-by-step explanation:
subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5
Answer: 2/5
Step-by-step explanation:
Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5
Stephanie saw in an ad in the paper that her favorite kind of perfume was I feel for 25% off if the sale price was $15 what was the original price of the perfume
Answer: $20
Step-by-step explanation:
Here os the correct question:
Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?
Let the original price of the perfume be y.
Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:
y - (25% of y) = $15
y - (25/100 × y) = $15
y - 0.25y = $15
0.75y = $15
Divide both side by 0.75
0.75y/0.75 = $15/0.75
y = $20
The original price of the perfume is $20
Find the 98th term of the arithmetic sequence 14, 10, 6, ...
Answer:
-374
Step-by-step explanation:
We know that a₁ = 14 and the common difference = -4 so the explicit rule is aₙ = 14 + (n - 1) * (-4) = -4n + 18. a₉₈ = -4 * 98 + 18 = -374.
Answer:
Brainliest!!!!
Step-by-step explanation:
the equation is this...
y = -4x + 14
97 x -4 = -388
-388 + 14 = -374
you might wonder why I did 97... that is becuase 14 is the first term
Help please I don’t really understand
Answer:
35
Step-by-step explanation:
We first need to find the missing side of the base triangle.
15^2 - 9^2 = x
144 = x^2
x = 12
Then, we can use the same formula (Pythagorean theorem) to find BD.
37^2 - 12^2 = x
1225 = x^2
x = 35
Does the table represent a function?(Only 2 hours to answer!)
Answer: (a) Yes. The table is a function.
Step-by-step explanation:
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.