gragh h(t) = 400 − 39t − 157e−t/4
A gym membership costs $25 to join and $14 each month. What is an algebraic expression to find the cost of the membership for 6 months
Identify which shapes are similar to shape A and which are not.
To determine which shapes are similar to shape A, we must evaluate the pattern, repetition, and geometrical structure, while understanding the differences in geometrical and organic forms.
Explanation:When identifying shapes similar to shape A, we must look at the pattern and repetition of the figures while noting the differences. Shapes that are similar will have proportionally equivalent angles and sides, despite potential differences in size. We analyze the given shapes by comparing their properties such as angles, sides, and overall geometrical structure.
In a more complex composition, identifying positive and negative shapes can be challenging due to the presence of implied shapes that are created by the arrangement of other shapes or colors around them. Therefore, an in-depth inspection is needed to determine similarity.
Lastly, it is necessary to understand that shapes can be geometric, like circles and squares, or organic, which are more freeform and less regular. When comparing shapes to shape A, recall that similar shapes must relate in the ways mentioned, despite their geometric or organic nature.
if one out of every 12 students at a school share a locker,how many share a locker in a school of 456 students?
1 out of 12 can be written as 1/12
now multiply 456 by 1/2
this is the same as dividing 456 by 12
456/12 = 38 students share a locker
what is the factors of 10
Answer: 1, 2, 5, and 10
Step-by-step explanation: To find the factors of 10, begin by dividing 10 by 1 which gives us 10. This tells us that 1 and 10 are factors of 10. Next, divide 10 by 2 which gives us 5. This tells us that 2 and 5 are also factors of 10. Next, divide 10 by 3. Notice that 10 doesn't divide evenly by 3 so 3 is not a factor of 10. Next, divide 10 by 4. Since 10 doesn't divide evenly by 4, then 4 is not a factor of 10. Next, divide 10 by 5 which gives us 2. This tells us that 5 and 2 are factors of 10 but notice that we already know that 5 and 2 are factors of 10. This means that 5 and 2 are repeat factors.
There is no need to repeat factors that we already know. In fact, as we are writing the factors of a number, it's important to understand that once we hit repeat factors, all other factors that we try will also repeat.
So here, dividing by anything greater than 5 will give us factors that we already know so we can stop here.
This means that the factors of 10 are 1, 2, 5, and 10.
What is 403.608 in words
A display of gift boxes has 1 box in the top row. 3 boxes in the next row, 5 boxes in the next row, and so on. there are 7 rows in all. how many gift boxes are in the display?
When two probabilities are multiplied, the probability represents a compound event
What is the value of b?
A 76
B 106
C 120
D 224
Answer:
The correct option is C. 120°
Step-by-step explanation:
For better explanation of the answer see the attached figure :
Since, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ ∠AOD = 104°
Also, The angle formed in the segment is half the angle formed at the center of the circle
⇒ ∠DOB = 2 × ∠BAD
⇒ ∠DOB = 2 × 68°
⇒ ∠DOB = 136°
Now, ∠AOB = 360 - ∠BOD + ∠AOD
⇒ ∠AOB = 360 - 136 - 104
⇒ ∠AOB = 120°
Now, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ b = ∠AOB
⇒ b = 101°
Hence, the correct option is C. 120°
Roger sells fire trucks and dolls to a toy store. He sells each fire truck for $15 and each doll for $10. Roger wants to sell at least 25 toys and needs to earn at least $300 to cover his costs. If each fire truck takes 50 minutes to make and each doll takes 45 minutes to make, how many fire trucks and dolls should Roger make to minimize the time spent making the toys.
Answer:
this is the correct answer for plato (Roger should make 10 fire trucks and 15 dolls in order to minimize the time spent making toys.)
Step-by-step explanation:
Answer:
Number of Fire trucks made= 10.
Number of Dolls made = 15
Step-by-step explanation:
Let x denote the number of fire trucks made.
and y denote the number of dolls made.
Now we are given:
Roger wants to sell at least 25 toys .Hence, the inequality that can be made from this information is:
[tex]x+y\geq 25[/tex]
Also,He sells each fire truck for $15 and each doll for $10.
He needs to earn at least $300 to cover his costs.
The inequality that can be made from this piece of information is:
[tex]15x+10y\geq 300[/tex]
Also,
x≥0
and y≥0
Each fire truck takes 50 minutes to make and each doll takes 45 minutes to make.
Now we are asked to minimize the time function let it denote by 'z'.
Hence, the system that is formed is:
Optimization function Min. z=50x+45y
subject to x+y ≥ 25[/tex]
and 15x+10y ≥ 300[/tex]
Non-negative constraint x ≥ 0
y ≥ 0
Now on solving the constraints we get the boundary points as:
(25,0) , (0,30) and (10,15)
Hence, the optimal solution is checked at these points.
(25,0) z=1250
(0,30) z=1350
(10,15) z=1175
Hence, the minimal time spent is: 1175 minutes.
Number of Fire trucks made= 10.
Number of Dolls made =15
Please answer, will choose brainliest
A baseball team played 177 complete games last season. They had 33 fewer wins than losses. How many games did the team win
What is the value of 4+(8*2)-3+5
what is the product of gcf and another sum of 48+14
Katie's age is two times Thomas age. The sum of their ages is 33. What is Tomas age?
find the average for the following group of numbers 85, 92, 84,85,96,95
To find the number of miles in 100 kilometers
The dashed triangle is the image of the pre-image solid triangle.
What is the scale factor used to create the dilation?
see the attached figure with letters to better understand the problem
we know that
the scale factor is equal to
[tex]scale\ factor=\frac{A'B'}{AB}[/tex] or [tex]scale\ factor=\frac{B'C'}{BC}[/tex]
we have
[tex]A'B'=8\ units \\AB=2\ units[/tex]
substitute in the formula
[tex]scale\ factor=\frac{8}{2}[/tex]
[tex]scale\ factor=4[/tex]
therefore
the answer is
the scale factor is equal to [tex]4[/tex]
A wheel has 22 spokes evenly distributed around the rim of the wheel. What is the measure, in radians, of the central angle formed by adjacent pairs of spokes?
To find the radian measure between adjacent spokes of a wheel, you divide 2π by the number of spokes. In this case, the wheel has 22 spokes, leading to a radian measure of approximately 0.286 radians for the angle between adjacent spokes.
Explanation:The topic of the question pertains to geometry and radian measures. In a full circle, there are 2π radians. If a wheel has 22 spokes, each spoke defines a section of the circle equally. So, you would divide 2π by 22 to determine the measure, in radians, of the central angle formed by adjacent pairs of spokes.
Step-by-step calculation: The formula for calculating this is 2π/n, where n is the number of sections (or spokes). Therefore, the radian measurement of the angle between adjacent spokes would be 2π/22 = 0.286 radians when rounded up.
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Taylor is building doghouse to see. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 13 full sheets. How many doghouses can Taylor make from 16 bundles of plywood
The ratio of the number of fiction books to the number of reference books in a library is 9:5. What is the fraction of the books are reference books?
You have 24 feet of fence to make a rectangular garden. Each side will measure a whole number of feet. How many different-sized rectangular gardens can you make?
Adding fractions with uncommon denominators
find the least common denominator then change fractions to have the same denominator, add them together and then reduce the fraction if possible
in 2009 there were three times as many millionares in kentucky as there were in rhode island. Together, a total of 84 thousand millionaires lived in the two states . find the number of millionaires in each of these states
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function?
The right answer is g(x)=(1/4x)^2 had the same question!!
Final answer:
The equation of the quadratic function f(x) = x² after a horizontal stretch by a factor of 4 is f(x) = x²/16.
Explanation:
When you horizontally stretch the quadratic parent function f(x) = x² by a factor of 4, you are stretching the function in the x-direction. This means that each x-coordinate of the graph is multiplied by the stretch factor. The new function is obtained by replacing x with x/4 in the original function. So the equation of the new function after a horizontal stretch by a factor of 4 is:
f(x) = (x/4)²
This simplifies to:
f(x) = x²/16
There were 10 horses are involved in this year’s preakness stakes. suppose you are betting to correctly pick top three finishers. from this information alone, what would be your odds of winning?
The formula for glue says to add 60 mL of hardener to each container of resin. How much hardener should be added to 19 containers of resin? answer in liters
To find out how much hardener should be added to 19 containers of resin, multiply 60 mL by 19 and then divide the result by 1000 to convert mL to liters. The answer is 1.14 liters.
Explanation:To find out how much hardener should be added to 19 containers of resin, we can use the given formula of adding 60 mL of hardener to each container of resin. Since we have 19 containers, we can multiply 60 mL by 19 to get the total amount of hardener needed.
60 mL × 19 = 1140 mL
To convert mL to liters, we need to divide the amount in mL by 1000. Therefore, the answer is:
1140 mL ÷ 1000 = 1.14 liters
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On a certain spring day with 12 hours of daylight, the light intensity I takes on its largest value of 610 calories/cm^2 at midday. If t = 0 corresponds to sunrise, find a formula I = a sin bt, where t is in hours and a is in calories/cm2, that fits this information.
There are 14 books on a shelf. 8 of these books are new What is the ratio of all books to used books?
The ratio of all books to used books in simplified form is 7 : 3.
Used the concept of ratio that states,
The ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.
Given that,
There are 14 books on a shelf.
8 of these books are new.
Here, the number of used books is,
14 - 8
= 6
Thus, the ratio of all books to used books is,
14 : 6
Simplified form;
14 : 6 = 7 : 3
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An executive invests $23,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $1,800, how much is invested at each rate
To solve this problem, we can set up an equation using the amount invested at each rate. Solving the equation will give us the amount invested at 8% and 7%.
Explanation:To solve this problem, let's assume that the amount invested at 8% is x dollars. Therefore, the amount invested at 7% would be (23000 - x) dollars. Now we can set up an equation to represent the given information:
0.08x + 0.07(23000 - x) = 1800
Solving this equation will give us the amount invested at each rate.
0.08x + 0.07(23000 - x) = 1800
0.08x + 1610 - 0.07x = 1800
0.01x = 1800 - 1610
0.01x = 190
x = 190 / 0.01
x = 19000
Therefore, $19000 is invested at 8% and $4000 (23000 - 19000) is invested at 7%.
To solve the problem, set up a system of equations using x and y as variables to represent the amounts invested at 8% and 7%. Solve the system to find x and y. The amount invested at 8% is $19,000 and the amount invested at 7% is $4,000.
Explanation:To solve this problem, we can set up a system of equations. Let x represent the amount invested at 8% and y represent the amount invested at 7%. The total amount invested is $23,000, so we have the equation x + y = 23,000. The total return is $1,800, so we have the equation 0.08x + 0.07y = 1,800. We can solve this system of equations to find the values of x and y.
By substitution, we can solve for x:
x + y = 23,000
x = 23,000 - y
Substituting this into the second equation:
0.08(23,000 - y) + 0.07y = 1,800
1,840 - 0.08y + 0.07y = 1,800
-0.01y = -40
y = 4,000
Substituting the value of y back into the first equation, we can find x:
x + 4,000 = 23,000
x = 19,000
So, $19,000 was invested at 8% and $4,000 was invested at 7%.