Answer:
a). Fixed cost = $800
b). The cost for 25 items is $1050
c).Range = 150
Domain g(x) = 150
Step-by-step explanation:
The cost in dollars of making x item is given by the function C(x)=10x+800.
The fixed cost is when x= 0
Fixed cost
C(0)= 10(0) +800
C(0) = 0+800
C(0)= 800
Fixed cost = $800
The cost for 25 items
C(25) = 10(25)+800
C(25) = 250+800
C(25) = 1050
The cost for 25 items is $1050
If Maximum cost=$2300
C(x)=10(x) +800= 2300
Range of x
10(x) = 2300-800
10(x) = 1500
X= 1500/10
X= 150
Range = 150
Domain g(x) = 150
What is the solution for this inequality?
-10x < 40
Answer:
Step-by-step explanation:
-10x < 40
x > -4
Find the midpoint of the line segment from (1,-1) to (2,4)
Answer: (1.5, 1.5)
Step-by-step explanation:
Determine the value of c so that f(x) is continuous on the entire real line when
f(x) = {x + 3 x less than or equal to -1 2x - c x > -1.
a. -4.
b. 4.
c. 0.
d. -1.
e. none of these.
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
The value of 'c' is -4 and this can be determined by using the concept of continuous function and arithmetic operations.
Given :
f(x) is continuous on the entire real line when c f(x) = x + 3 for [tex]x \leq -1[/tex], 2x - c for x > -1.
Remember for a continuous function, the left-hand limit is equal to the right-hand limit. So, determine the left-hand and right-hand limit.
The left-hand limit is calculated as:
f(-1) = (-1) + 3
f(-1) = 2 --- (1)
The right-hand limit is calculated as:
f(-1) = 2(-1) - c
f(-1) = -2 - c --- (2)
Now, equate both the expression (1) and (2).
2 = -2 - c
c = -4
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how do you a shade a venn diagram of B-A
Don't shade the part A and the part between A and B. Shade the B part only.
You go down 9 floors in an elevator. How would you write the integer?
Answer:
-9
Step-by-step explanation:
Going down= negative
Answer:
u write negative 9
Step-by-step explanation:
(17-7)•6+2+56-8
Pemdas
the ratio of peanuts to raisins in a snack mix is 5:4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag?
Number of raisins in the bag is 160 raisins
Given that;
Ratio of peanuts to raisins = 5:4
Bag of the snack mix contains = 200 peanuts
Find:
Number of raisins in the bag
Computation:
Number of raisins in the bag = 4[200/5]
Number of raisins in the bag = 4[40]
Number of raisins in the bag = 160 raisins
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Solve:
A rectangular garden has length of 24m and width of 17.2m. Use the correct number of
significant digits to write the perimeter of the garden.
meters
Answer:
82.4
Step-by-step explanation:
3. Ann wants to paste 18 posters on her bedroom wall. She wants to put the same
number of posters in each row. How many rows could Ann make, 4.5, 9 or 10?
Answer:
9
Step-by-step explanation:
18÷2=9
So, Ann could have 9 rows of posters with 2 posters in each row.
Is 10 greater than 10.01 or less than
Step-by-step explanation:
10 is less than 10.01
10.01-10=0.01
10 is 0.01 less than 10.01
So, 10 is less than 10.01.
Hope it helps you!!
A jug has a maximum capacity of 4 liters. It's filled to 85% of its capacity, and then poured out at a rate of 25 ml/s. Which of the following
expressions models the volume remaining in the jug, in liters, after x seconds?
Answer: W(x) = 3.4 L - (25/1000)(L/s)*x
Step-by-step explanation:
The maximum of the jug is 4 L.
now, the jug is 85% filled, then the amount of water in the jug is:
(85%/100%)*4L = 0.85*4L = 3.4L
Now, we pour 25 mL each second, so we could write a linear equation as:
W(x) = 3.4L - (25ml/s)*x
where x is the number of seconds that passed since the beginning,
But we want to write this in Liters, we have that:
1L = 1000mL.
Then 1mL = (1/1000) L
then we can write 25 mL as:
25m L = 25*(1/1000) L = (25/1000) L.
Then we can write the equation as
W(x) = 3.4 L - (25/1000)(L/s)*x
which is the amount of water remaining in the jug after x seconds.
Jan spent $99.99 for a comforter set, $12.99 for pillows, and $36.98 for towels. How much total did she
spend?
O $136.97
O $50.06
O $149.96
O $112.94
O $155.96
Answer:
$149.96
Step-by-step explanation:
99.99+12.99+36.98=149.96
Total=$149.96
: What is the volume of this triangular right prism?
6.5 ft
6 ft-
11 ft
5 ft
Answer:
[tex] Volume_{Prism} = 165 ft^3 [/tex]
Step-by-step explanation:
Volume of triangular prism is given as base area * height of prism
Base area = area of triangle = ½*base of the traingle*height of the traingle
Base area = 5 ft * 6 ft = 30 ft²
Height of prism = 11 ft
Volume of the prism = [tex] \frac{1}{2}*30*11 [/tex]
[tex] Volume_{Prism} = 15*11 [/tex]
[tex] Volume_{Prism} = 165 ft^3 [/tex]
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments parallel?
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
For K = 5.3, the line segments are parallel.
We have endpoints of segment MN have coordinates (0, 0), (5, 1) and endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).
We have to determine the value of k that makes these segments parallel.
What is the condition for the lines to be parallel?For lines to be parallel - slope of line 1 should be equal to slope of line 2.
m(1) = m(2)
According to question, we have -
Coordinates of M = (0, 0)
Coordinates of N = (5, 1)
Therefore, the slope of line MN = [tex]\frac{1 -0}{5-0}[/tex] = 1/5
Coordinates of A = (11/2, 21/4)
Coordinates of B = (-21/4, k)
Therefore, the slope of line AB =
[tex]$\frac{k -\frac{21}{4} }{\frac{-21}{4} -\frac{11}{2} }[/tex] = [tex]$\frac{k - \frac{21}{4} }{\frac{1}{4} }[/tex] = [tex]$\frac{\frac{4k - 21}{4} }{\frac{1}{4} }[/tex] = 4k -21
Now, for the lines to be parallel -
m(MN) = M(AB)
4k - 21 = [tex]\frac{1}{5}[/tex]
5(4k - 21) = 1
20k - 105 = 1
20k = 106
k = 5.3
Hence, for K = 5.3, the line segments are parallel.
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Prove the following using a direct proof. Your proof should be expressed in com-plete English sentences.
If a, b, and c are integers such that b is a multiple of a3 and c is a multiple of b2, then c is a multiple of a6.
Answer:
Proved
Step-by-step explanation:
Given
Integers: a, b, c
Required
Show that c is a multiple of a⁶
First, we need to list out the multiples of a³
[tex]a^3 -> a^3, a^6, a^9, a^{12}...[/tex]
Since b is a multiple of a³, then b can be any of the listed multiples
Next, is to list out the multiples of b²
[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]
Since c is a multiple of b², then c can be any of the listed multiples
To list out the multiples of a⁶, we have to get the common multiples of a³ and b² in terms of a
Substitute a³ for b in
[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]
[tex](a^3)^2 -> (a^3)^2,(a^3)^4,(a^3)^6,(a^3)^8,(a^3)^{10}....[/tex]
[tex]a^6 -> a^6,a^{12},a^{18},a^{24},a^{30}....[/tex]
Recall that c is a multiple of b²
From the above listed multiples, we have a⁶ listed as one of the multiple; Hence, c is a multiple of a⁶
Yes C should be multiple of [tex]a^6[/tex]
Calculation of the multiple:Since it is mentioned that b should be the multiple of [tex]a^3[/tex]
So,
[tex]b = a^3R[/tex] here some integer should be R
And, the c should be multiple of [tex]b^2[/tex]
So,
[tex]C = b^2 r[/tex] for some integer r
Now we have to substitute the value of b from the first equation
i.e.
[tex]C = (a^3R)^2r = a^6 (R^2r)[/tex]
Here [tex]R^2r[/tex] is some integer
so,
[tex]C = a^6R'[/tex]
Therefore, we can say that Yes C should be multiple of [tex]a^6[/tex]
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if you record a lower temperature than the actual value, how would that affect the calculated value of R
Answer:
the calculated value of R would be incorrect and it would be greater than the actual value
Step-by-step explanation:
From the general gas equation,
We have a mole of gas as
PV =nRT
We will have to make R the subject of the formula
So we divide through by nT
R = PV/nT
So we have an inverse proportion between R and absolute temperature.
So when we record a lower temperature than what the actual temperature should be, R is going to be affected such that the wrongly calculated value of R would be more than the actual value.
The scores of players on a golf team are shown on the table Celia-3 Janine 3 Sami 1 Ted 4 Travis 0 The team combined score was 0. What was Travis score?
His score would have to be -5:
-3 + 3 = 0
0 + 1 = 1
1 + 4 = 5
5 + (-5) = 0
So you know that the su of all the scores is 0.
The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.
if we sum those, we have : 3 - 3 + 4 + 1 + x = 0
and we get 5 + x = 0
then x= -5, so travis's score is -5 points.
find the probability of Rolling a number greater than or equal to 4 on a standard die
Answer:
P(E)=1/2
Step-by-step explanation:
Total numbers=6
Numbers greater than or equal to 4= 3(4,5,6)
P(E)= favourable outcomes/total outcomes
P(E)=3/6
=1/2
Answer:
4/6
Step-by-step explanation:
probability of rolling a num greater than or equal to 4 = 4/6
=2/3
find sin60 A.1/2 B.2/2 C.3/2
Answer: [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
To find sin(60), you need to know the unit circle. Sin(60) is the same as sin(π/3). On the unit circle, sin(π/3) is √3/2. We know this because the coordinates are (cos, sin). Sin is the y coordinate.
Answer:
[tex]\huge\boxed{\sin60^o=\dfrac{\sqrt3}{2}}[/tex]
Step-by-step explanation:
Let's take a right triangle with acute angles 30° and 60°.
We know that the ratio of the sides of such a triangle is 2 : 1 : √3
(look at the picture)
We know:
[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]
In this triangle we have:
[tex]opposite=a\sqrt3\\hypotenuse=2a[/tex]
Substitute:
[tex]\sin60^o=\dfrac{a\sqrt3}{2a}[/tex] cancel a
[tex]\sin60^o=\dfrac{\sqrt3}{2}[/tex]
Donald has 456 marbles. Joe has 987 marbles. How many more marbles does Joe have?
Answer:
531
Start off by subtracting.
Joe = 987 marbles
Donald = 456 marbles.
987 - 456 = 531.
So that is your answer. Hope it helps!
Answer:
agree with previos answer
Step-by-step explanation:
Mrs. Phillips ordered 56 sub sandwiches for a team meal, and 2/7 of them were ham. how many of the sandwiches were ham?
Answer:
16
Step-by-step explanation:
Take the total number of sandwiches and multiply the fraction that were ham
56 * 2/7
56/7 *2
8 *2
16
16 sandwiches were ham
Write 5 times x to the two thirds power in radical form.
-(x+2)+6. anyone know how to solve it?
idk
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{-x+4}[/tex]
Step-by-step explanation:
[tex]-(x+2)+6[/tex]
Distributing the negative sign to the terms in the bracket.
[tex]-x-2+6[/tex]
Combining like terms.
[tex]-x+4[/tex]
Question 1 of 10
Sam studied the effects of exercise on short-term memory. Which of these is
a response variable?
A. Exercise
B. Short-term memory
C. Neither exercise nor short-term memory
O D. Both exercise and short-term memory
Answer:
B. Short-term memory
Step-by-step explanation:
Response variable is a dependent variable. It is dependent on the explanatory variable that is referred to as the independent variable.
In research study, the response variable is what is usually measured by the researcher. In the case given above, short-term memory is the response variable, which is dependent on exercise.
dwight can drive 60 miles for each gallon of gas on his motorcycle how far can dwight go if he has 3 gallons of gas
Answer:
180
Step-by-step explanation: 60+60 =120 120+6
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.
x = 5t − 2, y = 2t + 1.
Please find attached
Answer:
equation : 2x+9-5y=0
Step-by-step explanation:
x and y cut axes at -4.5 and 1.4 respectively
given
when x=0
9-5y=0
y=1.4
When y=0
2x+9=0
x=-4.5
According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass mmm that moves in an acceleration aaa is equal to m\cdot am⋅am, dot, a. An object whose mass in 808080 grams has an acceleration of 202020 meters per seconds square. What calculation will give us the sum of the forces that act on the object, in Newtons (which are \dfrac{\text{kg}\cdot\text{m}}{\text{s}^2} s 2 kg⋅m start fraction, start text, k, g, end text, dot, start text, m, end text, divided by, start text, s, end text, squared, end fraction)?
What calculation will give us the sum of the forces that act on the object, in Newtons (which are \dfrac{\text{kg}\cdot\text{m}}{\text{s}^2}
[tex]kg . m \ S^{2}[/tex]
Answer:
If you are on Khan Academy doing this, then the answer is 80/100 X 20
Step-by-step explanation:
If the mass of object is 808080 grams and acceleration is 202020 meter per seconds square then the force will be 1632483216 kg [tex]m^{2}[/tex].
What is force?A force is an effect that can change the motion of an object. A force can change the position of an object.
Force=mass*acceleration
How to calculate force?We have been given mass of the object=808080 grams and acceleration =202020 meters per second.
We have to calculate force in kg per meters square so firstly we have to change mass which is in grams into kilogram=808080/1000=808.080 kg
Force =808.080*202020
=163248321
Force=163248321 kg [tex]m^{2}[/tex]
Hence is mass is 808080 grams and acceleration is 202020 meters per second then force will be 163248321 kg meters square.
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HELP WOULD BE GREATLY APPRECIATED GURANTED BRAINLIEST
Answer: Choice A) 9
=================================================
Explanation:
We have some variable r that we divide over 3, and then we add on 5. Note the order of operations PEMDAS says to divide first and then add (since D comes before A in PEMDAS).
When we isolate r, we follow PEMDAS in reverse and undo everything. We undo addition by subtracting 5 from both sides
[tex]\frac{r}{3} + 5 \le 8\\\\\frac{r}{3} + 5-5 \le 8-5\\\\\frac{r}{3} \le 3\\\\[/tex]
Then we undo the division happening to r. So we multiply both sides by 3
[tex]\frac{r}{3} \le 3\\\\3*\frac{r}{3} \le 3*3\\\\r \le 9\\\\[/tex]
Since r is less than or equal to 9, this means that r could be 9 or smaller
Only choice A applies.
can someone explain the quadratic formula to me.
Answer:
[See Below]
Step-by-step explanation:
Here are some pictures to help you.
The quadratic formula is shown below.
The beauty of the quadratic formula is that as long as your quadraticis in the form ax² + bx + c = 0, where a, b, and c are integers, you can go straight to the answer by simply plugging your values for a, b, and c into the quadratic formula.
It's a good idea to memorize it.
Believe me it's worth it, you'll be using it all the time.
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B) C=3.14(2r)
Step-by-step explanation:
Circumference of a circle= 2πr
radius=6 feet
Diameter= 2r
=2*6
=12 feet
π= 3.14
C= 2πr
= 2 * 3.14 * r
= 3.14 * 2 * r
C= 3.14 (2r)
Kierran should use the formula C= 3.14 (2r) to find the circumstance of the circle
Option B is the correct answer
C= 3.14 (2r)
= 3.14 * 2 * 6
= 37.68 eet