The function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Function N represents the number of components that a new employee can assemble per day.
N(t)=(50t)/(t+4)
Function E represents the number of components that an experienced employee can assemble per day.
E(t)=(70t)/(t+3)
In both functions, t represents the number of hours worked in one day. The function which represent the difference of the number of components assembled per day by the experienced and new employees is,
[tex]D(t)=\dfrac{70t}{t+3}-\dfrac{50t}{t+4}\\D(t)=\dfrac{70t(t+2)-50t(t+3)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7(t+4)-5(t+3))}{(t+4)(t+3)}\\D(t)=\dfrac{10t(7t+28-5t-15)}{(t+4)(t+3)}\\D(t)=\dfrac{10t(2t+13)}{(t+4)(t+3)}\\[/tex]
Thus, the function which describes the difference of the number of computer components assembled per day by the experienced and new is D(t)=10t(2t+13)/[(t+4)(t+3)].
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Answer:
D(t)= 10t(2t+13)/ (t+4)(t+3)
Step-by-step explanation:
Draw lines to match equivalent time intervals.
day
5 days
6 days
120 hours
13 weeks
144 hours
-12
10 days
720 minutes
91 days
240 hours
Answer:
120h = 5 days
240h = 10 days
144h = 6 days
720m = 1/2 (half a day)
13w = 91 days
please make this brainliest
Find the factor of each ff.
6z²+12z+18
Answer:
Step-by-step explanation:
6z² + 12z +1 8
= 6(z^2 + 2z + 3).
That's it.
Please help? I need to please it will give you a lot of rewards
Answer:
<HAD
Step-by-step explanation:
Complete the long division problem on your own sheet of paper. Then, fill in the digits. 2 ÷ 694
Answer:
Here!! Hope i helped.
Please help, thank you! Image below
Answer:
The diameter divides a circle into fourths. (False)
The diameter is twice the length of the radius. (True)
The diameter is the distance around the circle. (True)
The diameter is a chord. (True)
The diameter passes through the center of a circle. (True)
The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!
Step-by-step explanation:
Hope this helps!
From your neighborhood softie. :)
6. The three sides of a triangle are in the ratio 2 : 3 : 4 and the perimeter
225 m. Find its area.
Which set of graphs can be used to find the solution set to 3e^x> -1/2x?
Step-by-step explanation:
all the pink area above the blue line (above means ">", and the blue line is -1/2 x), and not including the line.
A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
Customers can choose from 2 drinks, 4 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... different lunch combo meals.
Answer:
It's 90 if you go through k12 :]
Step-by-step explanation:
The number of ways to choose a combo meal is 24.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
2 drinks, 4 main dishes, and 3 desserts
Now,
To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
2 ways to choose a drink
4 ways to choose a main dish
3 ways to choose a dessert
2×4×3=24
Therefore, by algebra the answer will be 24.
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What is the area of the circle below if the area of the square is 36?
If the area of the square is 36 square units. Then the area of the circle will be 28.26 square units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The area of the square will be given as 36 square units.
Then the side length of the square will be
36 = a²
a = 6 units
Then the diameter of the circle and side length of the square are equal. Then we have
a = d = 6 units
Then the radius of the circle will be
2r = d
2r = 6
r = 3 units
Then the area of the circle will be
Area of circle = πr²
Area of circle = 3.14 x 3²
Area of circle = 28.26 square units.
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Which expression product is modeled by the tiles(2x+1)(x+1)
[tex](2x + 1)(x + 1)[/tex]
•Distribute
[tex](2x + 1)(x + )[/tex]
[tex]2x(x + 1) + 1( x + 1)[/tex]
•Distribute
[tex]2x(x + 1) + 1(x + 1)[/tex]
[tex]2x² + 2x1(x + 1)[/tex]
•Multiply
[tex]2x² + 2x + 1(x + 1)[/tex]
[tex]2x² + 2x + x + 1[/tex]
•Combine like terms
[tex]2x² + x + x + 1[/tex]
[tex]2x²+ 3x + 1[/tex]
Solution:
[tex]2x² + 3x + 1[/tex]
Explanation:
see the graph
a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
Answer:
19.8 rounded to 20m
Step-by-step explanation:
reason;
Area=1/2 x perimeter x apothem
27=1/2 x p x 2.726
Divide both sides by 1/2
54= p x 2.726
Now divide both sides by 2.726 to isolate p
Answer p=19.8
Picture is attached! Select the reason that nest supports Statement 3 on the given proof
The reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution
Substitution propertyThe substitution property of equality states that, if m = n, then m can be substituted in for n in any equation, and vice versa.
From the question, we are to determine the reason that best supports Statement 3
In the diagram, statement 3 is
m∠A ÷ 5 = 20°
From the given expressions,
m∠A ÷ 5 = m∠B and m∠B = 20°
By the substitution property, we can substitute 20° for m∠B in the first expression
That is,
m∠A ÷ 5 = m∠B becomes
m∠A ÷ 5 = 20°
Hence, the reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution
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look at the image and please tell me if I was correct
Answer:
yes
Step-by-step explanation:
you seem to be correct
Identify the coordinates of the vertex of f(x) = -(x + 5)2 + 8, and identify whether it is an absolute minimum or absolute maximum.
Answer:
It is in vertex form so:
(x-h) + k --> (x-(-5)) + 8 = (x + 5) + 8
(h,k)
(-5, 8)
This equation turns out to be linear. So it would be an absolute maximum probably since negative values of x are greater than positive values of x.
Help me please thank youuuuu ^_^
Answer:
x = 6
Step-by-step explanation:
2x - 3 = 9
so 9+3 = 12, and 12÷2 = 6
the value of x is 6
Tell me the coordinates
Answer:
1) N/A
2) ( -0.714, 3.857)
Step-by-step explanation:
for question 1 since the slope is the same, they will never intersect
for question 2 they intersect at (-0.714, 3.857)
1) as for the coordinates, for y=3x+2 it is (0,2) (-2/3, 0) it's an upward slope
y=3x-5 coordinates are (0, -5) (1.667, 0) it's an upward slope
2) 4x+y=1 coordinates are (0,1) (1/2, 0) it's a downwards slope
y=3x+6 coordinates are (-2, 0) (0,6) it's a upward slope
NO LINKS!!! For each below, tell whether the table represents a linear, exponential, inverse or no relationship. Write an equation for each table (if possible).
[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]
[tex]\large \boxed{\sf Quadratic \ Function}[/tex]
Explanation:A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.
There is a better way to understand what type of equation it is after plotting the coordinates on the graph.
Look at the attachment!After looking so, we can determine this as quadratic function.
** Not a exponential, inverse, linear function **
To find equation:Quadratic function: y = a(x - h)² + k
Locate (h, k) = (2, -4)
Take any other suitable point for example = (0, 0)
Insert values to find (a),
a(0 - 2)² - 4 = 0
4a = 4
a = 1
Now Join together: y = 1(x - 2)² - 4 --- Quadratic Equation
Exponential
It should be a parabola
The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex
So on both sides of vertex i e same distance on x from vertex the two x values have same y value .
Observe the table and find similar y values
(0,0) and (4,0)(1,-3) and (3,-3)FIND midpoint of x which is axis of symmetry
0+4/2=21+3/2=2We have been sured axis of symmetry is at x=2
Vertex (2,-4)Form equation
y=a(x-h)²+ky=a(x-2)²-4Put (5,5)
5=a(5-2)²-45=a(3²)-49a-4=59a=9a=9Final equation
y=(x-2)²-4Find the area of the figure.
Answer:
Area = 38 ft^2
Step-by-step explanation:
Divide two parts of a rectangle.
Big Rect: A = 10 ft * 3 ft = 30 ft^2
Small Rect: A = 2 ft * 4 ft =8 ft^2
Total Area = 30 + 8 = 38 ft^2
a=-2(negative 2) b=3 and c=5 what is 3ac-a+2b.With explanation
Step-by-step explanation:
a = -2
b = 3
c = 5
Question:[tex]3ac - a + 2b[/tex]
= Solution,
= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3
here ... ( + ) × ( - ) = ( - )
= - 6 × 5 - ( - 2 ) + 2 × 3
here .... ( - ) × ( - ) = ( + )
= - 6 × 5 + 2 + 2 × 3
= - 30 + 2 + 6
= - 30 + 8
here the ( - ) have greater variable so...
= - 22
hence - 22 is the answer . ....
Find the sine of ZD.
F
2√15
D
2-√15
E
Answer:
[tex]{ \underline{ \underline{ \mathfrak{ \: answer : \: \: { \tt{ \sin(D) = \frac{ \sqrt{2} }{2} \: \: }} }}}}[/tex]
Step-by-step explanation:
[tex]{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ [/tex]
Theta is Dopposite is 2sqrt(15)hypotenuse is h[tex]{ \tt{h = \sqrt{ {(opposite)}^{2} + {(adjacent)}^{2} } }} \\ { \tt{h = \sqrt{ 2{(2 \sqrt{15}) }^{2} } }} \\ { \tt{h = \sqrt{2(4 \times 15)} }} \\ { \tt{h = \sqrt{120} }}[/tex]
Therefore:
[tex]{ \tt{ \sin(D) = \frac{2 \sqrt{15} }{ \sqrt{120} } }} \\ \\ { \tt{ \sin(D) = \frac{2 \sqrt{15} }{2 \sqrt{15 \times 2} } }} \\ \\ { \tt{ \sin(D) = \frac{1}{ \sqrt{2} } }} \\ \\ { \boxed{ \tt{ \sin(D) = \frac{ \sqrt{2} }{2} }}}[/tex]
pls help, urgently!!!
Answer:
Yes, no is correct
Step-by-step explanation:
This is because you only add up the outside sides of the polygon to find the perimeter. None of the inside sides. Hope this makes sense and hope it helps.
Answer:
No, because the friend counted a length that is inside of the polygon, which you don't need for finding the perimeter, since the perimeter is the sum of the outside lengths of the polygon.
Find the factor of each ff.
8t²-16t-4
Answer:
For me, this quadratic expression can simply be factored by 4 because all the values divide by four. so:
[tex]4( {2}t^{2} - 4t - 1)[/tex]
Step-by-step explanation:
Just factor it by 4
Answer:
4(2t^2 - 4t - 1)
Step-by-step explanation:
8t²-16t-4
= 4(2t^2 - 4t - 1)
2t^2 - 4t - 1 is prime so there are no more factors.
Suppose you have a photograph that
has a height of 8 in and a width of 5
in. If you want to enlarge the
photograph so that it has a height of
32 in, how wide will it need to be?
Answer:
20
Step-by-step explanation:
You need to times 8*4 to get 32 therefore u times 5*4 to get 20
WILL GIVE BRAINLIEST 50 POINTS
These same things are present
∆PQR=∆TUVSo
PQ=TU=12<R=<V=75<Q=180-(45+75)=60°=<UUV=QR=10TV=PR=7m<T=m<P=45Answer:
[tex]\sf \overline{PQ}=12[/tex]
[tex]\sf \overline{UV}=10[/tex]
[tex]\sf \overline{TV}=7[/tex]
[tex]\sf m \angle T=45^{\circ}[/tex]
[tex]\sf m \angle R=75^{\circ}[/tex]
[tex]\sf m \angle Q=60^{\circ}[/tex]
[tex]\sf m \angle U=60^{\circ}[/tex]
Step-by-step explanation:
≅ sign means that the triangles are congruent, which means they both have the same shape and the same size.
When comparing congruent shapes, inspect the order in which the vertices are given in the statement.
Therefore, if ΔPQR ≅ ΔTUV then:
[tex]\sf \overline{PQ} \cong \overline{TU}[/tex][tex]\sf \overline{QR} \cong \overline{UV}[/tex][tex]\sf \overline{PR} \cong \overline{TV}[/tex]Similarly:
[tex]\sf m \angle P \cong m \angle T[/tex][tex]\sf m \angle Q \cong m \angle U[/tex][tex]\sf m \angle R \cong m \angle V[/tex]Therefore, from inspection of the triangles:
[tex]\sf \overline{PQ} \cong \overline{TU}=12[/tex]
[tex]\sf \overline{UV} \cong \overline{QR}=10[/tex]
[tex]\sf \overline{TV} \cong \overline{PR}=7[/tex]
[tex]\sf m \angle T \cong m \angle P=45^{\circ}[/tex]
[tex]\sf m \angle R \cong m \angle V = 75^{\circ}[/tex]
The sum of the interior angles of a triangle is 180°, therefore:
[tex]\sf m \angle Q \cong m \angle U=180^{\circ}-45^{\circ}-75^{\circ}=60^{\circ}[/tex]
Brainly for the one who help me
Answer:
prior to
Step-by-step explanation:
-1/2(x+5)=-10 I WONT BREATHE UNTIL U ANSWER ME!!
Step-by-step explanation:
well don't breath just collect like terms and booom
NEED HELP WITH SLOPE
take two points
(2,4)(-3,-3)Slope
m=y2-y1/x2-x1m=-3-4/-3-2m=-7/-5m=7/5Answer:
[tex]m=\dfrac{7}{5}[/tex]
Step-by-step explanation:
To find the slope of a line, find two points on the line and define them as follows:
[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]
Substitute the points in the slope formula and solve for m:
[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]
Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]
for a Saturday matinee, adult tickets cost $5.50 and kids under 12 pay only $4.00. If 70 tickets are sold for a total of $355, how many of the tickets were adult tickets and how many were sold to kids under 12?
higher level thinking cell phone plan is shown on the right. Prices, which include an unlimited data plan, are the same every month for 7 months. The total cost for all seven months is $180.39. Let m be the average number of minutes exceeding 700 minutes each month. 700 minutes talked: $19.70 per month Every minute over 700 minutes: $0.05 per minute A. Write an equation to represent the given situation
Equation to represent the given situation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
What is Linear Equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that:
Total cost for 7 month =$180.39
Let m be the average number of minutes that exceeds 700 minutes each month.
Equation :
7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 21.67 + 0.05m = 180.39/ 7,
or, 0.05m = 25.77 – 21.67,
0.05m = 4.1
m= 82
Hence, equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.
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PLS HELP ME ANSWER THIS! 25 POINTS! How much does Janet make in 16 hours?
Answer: 120
Step-by-step explanation:
Janet makes 60 in 8 hours
60 x 2
8 x 2
so the answer is 120