Answer: A) Option B
B) 22.3 minutes.
Step-by-step explanation:
The temperature decreases in an exponential decrease, this means that we can write the equation as:
T(x) = A*r^x + B
Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)
We know that the initial temperature
A = 200° - 72° = 128°
B = 72°
T(x) = 128°r^x + 72°
The only option with those two values is option B.
T(x) = 128(0.989)^x + 72
We should check that when x = 2m, the temperature must be 197°
T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)
So this equation is correct
Now we want to find the time such the temperature is 172°F
then:
172° = 128°(0.989)^x + 72°
100° = 128°(0.989)^x
100/128 = (0.989)^x
x = ln(100/128)/ln(0.989) = 22.3 minutes.
Let's check in our equation:
T(22.3) = 128°(0.989)^22.3 + 72 = 172°
I need help to find the volume
Answer:
224ft^3
Step-by-step explanation:
l*w*h= volume
Answer:
The Volume is 224
Step-by-step explanation:
w * h * l
A gardener a coordinate grid to design a new garden. The gardener uses a polygon WXYZ on the grid to represent the garden. The vertical of this polygon are W (3, 3), X (- 3, 3), Y (-3, -3) Z (3, -3). Each grid unit represents one yard. Find the area of the garden.
Answer:
Find the area of the square using the length of the segment WX as the sides.
s = |2 |+ | −2 | = 2 + 2 = 4 yards
Then A = s2 = 42 = 16 square yards.
Step-by-step explanation:
I got the same question but with different numbers so you could just use the formula to find you answer.
x sqaure - 3x + x = ? wats the answer
Answer:
the simplified answer is,
x^2 - 3x + x = x^2 -2x
how to simply this equation
Answer:
[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
18
9 . 2
3 3
Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors that each measure 3 ft by 7 ft and a window that measures 3 ft by 4 ft. If Faron does not paint the doors and window, what is the total area he will paint?
Answer:
319 square feet.
Step-by-step explanation:
The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.
The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.
Therefore, we have that the total area of the four walls is
192 +160 = 352 square feet
However, we have a door and a window that won't be painted.
The area of the door is: 3 x 7 =21 square feet
The area of the window is 3 x 4 = 12 square feet
Thus, the total amount of area that won't be painted is
21 + 12 = 33 square feet.
So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:
352 - 33 = 319 square feet.
Thus, she will paint 319 square feet
triangle xyz is similar to triangle abc solve for k
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
3. Six less than twice a number is 17. Which equation could be used to determine the
number, n?
A. 6-2n = 17
B. 2n-6 = 17
C. 6 - 7 n = 2n
D. 2n + 6 = 7
Answer & Step-by-step explanation:
n represents our number. So, twice a number would be 2n because twice means multiply by two.
When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.
FInally, the problem says that all of this equals 17 so 17 would be the result.
So, you answer is 2n-6 = 17. This is answer choice B.
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answer:
A
Step-by-step explanation:
y = 9,958(0.972)x
Function which best models the given data is -150x + 9219.
What is the solution of an equation?A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
According to the given question
y represents the number of bees.
and, x represents the number of days.
Since, we have to find the function to represent the given data.
As, we know the given data are the solution of any function, so they must satisfy the function. For this we will take any value of x and y and check whether it satisfy the given function or not.
From the given data,
Let check for the point (0, 1000).
Substitute (0, 1000) in the given function one by one.
For, y = 9,958(0.972)x
At, x = 0
We get y = 0
⇒ ( 0, 1000) is not the solution of the function 9958(0.72)x
For, y = 0.972(9,958)x
At, x = 0
we get y = 0
⇒ (0, 1000) is not the solution for the function 0.972(9958)x
For, y = 9219x - 150
At x = 0
we get y = -150
⇒ (0, 10000) is not the solution of function, 9219x -150
For, y = -150x + 9219
At x = 0
y = 9219 which is nearly equals to 10000 because y is the estimated number of bees.
⇒ (0, 10000) is the solution of the given function y = -150x + 9219 .
Hence, the function which best models the given data is -150x + 9219.
Learn more about solution of the equation here:
https://brainly.com/question/545403
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pls help me?????????
Step-by-step explanation:
Step 1: Simplify both fractions
[tex]\frac{8}{24}[/tex] → [tex]\frac{8(1)}{8(3)}[/tex] → [tex]\frac{1}{3}[/tex]
[tex]\frac{5}{15}[/tex] → [tex]\frac{5(1)}{5(3)}[/tex] → [tex]\frac{1}{3}[/tex]
Since both of the simplified fractions are equal, that means that they form a proportion.
Answer: Option A, YES
Choose the correct symbol.
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What is the area of triangle ABC?
O 2.5 square units
O 3 square units
O 3.5 square units
O4 square units
Answer:
3 square units
Step-by-step explanation:
Edge 2021
The area of triangle ABC will be 3 square units. Therefore, option B is the correct answer.
Triangle ABC in the figure below, where b= 3 units and h= 4 units.
The area of the triangle ABC= The area of the right triangle ABD - The area of the right triangle ACD
We know that, area of a triangle = 1/2 ×Base×Height
The area of the right triangle ABD
= 1/2 ×3×4
= 6 square units
The area of the right angled triangle ACD
= 1/2 ×3×2
= 3 square units
Now, difference = 6-3 = 3 square units
Therefore, option B is the correct answer.
Learn more about area of triangle here:
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PLEASE HELLPPP
what is : -4(3-5)+10-3(7+4)+30
Answer:
15
Step-by-step explanation:
Use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
-4(-2)+10-3(11)+30 = 8+10-33+30
8+10-33+30 = 18-33+30
18-33+30 = -15+30
-15+30 = 15
If a figure is translated 5 units down and 3 units right, how do you represent it algebraically
Answer
(x+3) -5
Step-by-step explanation:
plug the values into the parent transformation equation to its rightful places
One way to show that two triangles are similar is to show that
Answer:
show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
Answer:
show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
Which equation is NOT an example of a linear function?
A) y = 9 - 2x
B) y = 6/X
C) y = x/2 + 9
D) y = 5/6x - 8
Answer:
B
Step-by-step explanation:
y = 6/x is not an example of a linear function
Option B is correct
A linear function can be written in the form ax + by = c
Let us consider the options given and see which of them cannot be expressed in the form ax + by + c
For y = 9 - 2x
This can also be expressed as
-2x + y = 9
For y = x/2 + 9
This can also be expressed as:
x - 2y = - 18
For y = 5/6 x - 8
This can also be expressed as:
-5x + 6y = -48
Only y = 6/x cannot be expressed in the form ax + by = c. Therefore, y = 6/x is not an example of a linear function
Learn more here: https://brainly.com/question/16459885
How many solutions are there? 5(6x + 8) = 9x - 10 + 21x
Answer:
5(6x+8) =9x - 10 + 21x: No solution
Answer: No solution
Steps below
Step-by-step explanation:
1: Groups like terms.
2: Add similar elements 9x+21x=30x
3: Expand 5(6x+8): 30x+40
4: Subtract 40 from both sides
5: Simplify
6: Subtract 30x from both sides
7: Simplify
8: Answer: No solution
Hope this helps.
Answer: none
Step-by-step explanation:
30x+40=30x-10
A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?
A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
the first one
Step-by-step explanation:
PLEASE help ASAP will give brainliest
Answer:
1.Understand the problem
2.Gather your resources
3.Come to answer
4.Check your answer and present solution
Step-by-step explanation:
Answer:
Number 1 is gather your resources
Number 2 is understand the problem
Number 3 is come to an answer
and number 4 is check your answer and present the solution
If 400 reduced by two times my present age is 296, how old am I now?
Answer:
52 years.
Step-by-step explanation:
Represent my current age by c. Then 400 - 2c = 296, or
104 = 2c
Then c must be 104/2, or 52 years.
you do not know how confused i am with this question, please put a little explanation to explain how you did it.
Answer:
x=2
Step-by-step explanation:
2x = 4 and your multiplying 2 times x so x would have to be equal to 2 time blank which equals 4
Hope it helps!
Simplify x + 3x - 36
Answer:
4x-36
Step-by-step explanation:
Put together like terms
X plus 3x = 4x
Select ALL equations that have a solution of 6.
A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18
help!!
Mariya was asked to solve StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 and then graph the solution. Her work is shown below.
Step
Mariya’s work
StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16
Step 1
(Negative 13) StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 (negative 13)
Step 2
a greater-than-or-equal-to 208
Step 3
A number line going from 205 to 211. An open circle is at 208. Everything to the right of the circle is shaded.
In which step, if any, did Mariya make a mistake in her work?
Step 1
Step 2
Step 3
No mistake found
Answer:
Step 3 is the correct answer!
Step-by-step explanation:
Answer:
C- step 3
Step-by-step explanation:
e d g e n u i t y q u i z z
Hope I helped x3
Explain what the similarities and difference between y=2cosx and y=2cosx-3.
Answer:
(See explanation for further details)
Step-by-step explanation:
Similarities: Both expression have the same slope for the same values of x.
Difference: The second expression is a translated form of the first function in -3 units.
Please need this by the 16th
Answer:
60
Step-by-step explanation:
12 can be broken into 3*4
15 = 5*3
The least factors are
3*4*5 = 60
The lowest common denominator is 60
Answer:
7/12= 35/60
7/15= 28/60
Some trapezoids are rectangles true or false
Answer:
False.
Step-by-step explanation:
A trapezoid is only ONE pair of parallel sides, not two.
Explain the three steps when using distributive property to write an equivalent expression.
Answer:
Step-by-step explanation:First you apply the distributive property to create equivalent expressions, then you use algebra tiles to write equivalent expressions, and finally you verify that two different values of the variable yield the same value for each expressions, then the expressions are equivalent .
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 8, negative 13) and point B is at (4, 11). What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is One-third the length of the line segment from A to B? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (1, 5) (0, 3) (–4, –5) (–5, –7)
Answer:
c
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
Edg 2020
Anthony earned the following amount for baby-sitting his brother over winter break: $5, $10, $10, $10, $5, $10, $20, $10, $5, $20, $20, $20, $10, $5, $5. What is the mean and median amount he earned each day?
Answer:
mean is $11
median is $10
Step-by-step explanation:
Write the standard equation for a circle with center (0,0) and radius 8
Answer:
Step-by-step explanation:
hello : an equation is :
x²+y²=64
