Answer:
The temperature at the start is 35F
The temperature of the room is 74F
Step-by-step explanation:
Given
[tex]T(m) = 74 - 39(0.87)^m[/tex]
Solving (a): The temperature at the start.
To do this, we set: [tex]m = 0[/tex]
So, we have:
[tex]T(0) = 74 - 39(0.87)^0[/tex]
[tex]T(0) = 74 - 39*1[/tex]
[tex]T(0) = 74 - 39[/tex]
[tex]T(0) = 35[/tex]
Hence, the temperature at the start is 35F
Solving (b): The room temperature
We have:
[tex]T(m) = 74 - 39(0.87)^m[/tex]
To get the temperature of the room, we simply remove the exponential function.
So, we have:
[tex]Initial = 74[/tex]
Hence, the temperature of the room is 74F
The initial temperature of the liquid is 35 F and the room temperature is 74 F.
What is Melting Point?The melting point is the temperature at which the solid starts converting into liquid.
Given here,
[tex]T_m = 74- 39(0.87)^m[/tex]
Leat the [tex]m = 0,[/tex]
So,
[tex]T_0 = 74- 39(0.87)^0\\\\T_0 = 35 \rm \ F[/tex]
Thus the initial temperature is 35 F.
Now remove the exponential to get the room temperature,
So,
[tex]T_{RT} = 74[/tex]
Therefore, the initial temperature of the liquid is 35 F and the room temperature is 74 F.
Learn more about the Melting point:
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a man sells an article at rupees 600 and makes a profit of 20% of selling price calculate is profit percentage
Answer:
25%
Step-by-step explanation:
profit percentage = (profit/cost price) * 100
selling price = 600
profit = 600 * 20/100 = 120
cost price = 600-120 =480
profit percentage = (120/480) * 100 = 25
SEE QUESTION IN IMAGE
Answer:
48Probability of dying on the birthday is:
1/365Probability of not dying on the birthday is:
1 - 1/365 = 364/36549Probability of blue-eyed boy is:
1/2*1/4 = 1/850Total frequencies = 10
Frequency of 7 and greater is 4: 7, 8, 9, 10
Required probability:
4/10 = 2/5point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their distance from line D is 4cm and from point O is 6cm?
1)4
2)8
3)2
4)3
and please tell me how to solve this, I'll mark you the brainliest
Answer:
the answer is number 3)2
Step-by-step explanation:
subtract the both
please answer this!!!
Answer:
[tex]BC=40[/tex]
Step-by-step explanation:
Since AC is a tangent and PB is the raduis
[tex]\angle PBC= 9[/tex]
By pythagoras
[tex]PC^{2} =PB^{2} +BC^{2}[/tex]
[tex]41^{2} =9^{2} +BC^{2}[/tex]
[tex]1681-81=BC^{2}[/tex]
[tex]1600=BC^{2}[/tex]
[tex]BC=\sqrt{1600}[/tex]
[tex]BC=40[/tex]
OAmalOHopeO
Answer:
40
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B. BP and PD are both equal (9) because every radius of a circle is equal. So
PC**2 = BP**2 + BC**2 or
41**2 = 9**2 + BC**2
1681 = 81 + BC**2
1681 - 81 = BC**2
1600 = BC**2
40 = BC
6 less than the product of 5 and a number
A. 5-6n
B. 6+5n
C. 5(n - 6)
D. 5n-6
Answer:
D.
Step-by-step explanation:
5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.
Answer:
D. 5n - 6
Step-by-step explanation:
6 less means -6
The product of 5 and a number means 5 x n which is the same as 5n
And it wants us to subtract 6 from 5n
so we would write it as...
5n - 6
What are the solutions of x2 - 2x +5 = 0
Answer:
x = -3 or x = -5
Step-by-step explanation:
x (x -2 ) = -5
x = -5 or x = -5+2
x = -3
Moe bought 5 shirts for a total of $49.00. Tee shirts cost $7.00 and long sleeve shirts cost $14.00. How many of each type of shirt did he buy?
Answer:
I think that the answer is 350
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
At the Scott wedding, 12 guests sat on the groom's side and 10 guests sat on the bride's side. At the Smith wedding, 13 guests sat on the bride's side and 18 guests sat on the groom's side. Which wedding had a lower ratio of guests of the groom to guests of the bride?
A. not enough information
B. the Smith wedding
C. neither, the ratios are equivalent
D. the Scott wedding
Answer:
D. The Scott Wedding
Step-by-step explanation:
Scott: 12 guests on the groom's side and 10 guests on the bride's side
Smith: 18 guests on the the groom's side and 13 guests on the bride's side
What is the radius and diameter of the following circle? 5.1 cm
Answer:
A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:
what is the units of the partial circle
Answer:
[tex]arc \: length = 2\pi \: r( \frac{θ}{360} ) \\ = 2 \times 3.14 \times 7 \times ( \frac{90}{360} ) \\ = 10.9 \\ = 11[/tex]
I hope I helped you^_^
I rlly need help like pleasee
The parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90 B.) 180 C.) 270 D.) 360
Answer:
A. 90
Step-by-step explanation:
Correct on EDGE
Answer:
maybe 90
Step-by-step explanation:
If m∠A = 43° and the measure of arc AB = 69°, then m∠B = ° (Blank 1). (Round your answer to one decimal place, if necessary.)
====================================================
Explanation:
If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.
When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.
Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees
Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.
Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees
Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.
4x^2-12x+9.
4x^2+4x+1.,
1+12x+36^2
Answer:
Step-by-step explanation:
Which of the following statements is false?
A. A rectangle is a parallelogram.
B. A rhombus is a parallelogram.
C. The height of a trapezoid is the distance between its bases.
D. Given quadrilateral ABCD, AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are adjacent
to Answer:
D is false
Step-by-step explanation:
AB and CD are not adjacent.
AB is adjacent to BC and AD but not to CD.
If you randomly choose a number from 1 to 10 and multiply them together, what is the probability that the number ends in a 0?
Krista invested money in the stock of a foreign company. Lately, the government of the country where the company is based introduced new tax laws and fiscal policies. What type of risk does Krista face as an investor?
Answer: legislative risk
Step-by-step explanation:
Legislative risk refers to a form of risk whereby there's likelihood of a business making a loss on an investment due to governmental action.
Legislative risk implies an amendment or an abolition of laws which has a direct impact on investments. Regarding the question, the introduction of the new tax laws and fiscal policies is a legislative risk.
Answer:
c
Step-by-step explanation:
Someone please help fasttt!!
Answer:
the slope is -1/4 throughout the line.
Step-by-step explanation:
the slope of a line never changes anywhere on the line. otherwise it would not be a line.
the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.
and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).
therefore -1/4
Answer:
3rd option
Step-by-step explanation:
The line has the same slope over the whole line
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)
m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]
The slope is - [tex]\frac{1}{4}[/tex] throughout the line
Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
the answer is in the photo
Answer:
2/5
Step-by-step explanation:
[tex] - 2\frac{4}{5} \div ( - 7)[/tex]
[tex] = \frac{2 \times 5 + 4}{5} [/tex]
[tex] = \frac{10 + 4}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = - \frac{14}{5} \times 7[/tex]
[tex] = \frac{14}{5} \div 7[/tex]
[tex] = \frac{2}{5} [/tex]
solve the inequality...
Answer:
Inequality form:
x>1
Interval Notation:
( 1, infinity)
If x^a=y^b=z^c and y^2=zx ,show that :. 1 by a + 1 by c = 2 by b.
Answer:
1/a + 1/c = 2/b
Step-by-step explanation:
.......................
A package of 15 apples contains two defective apples. Four apples are selected at random, (a) Find the probability that none of the selected apples is defective. (b) Find the probability that at least one of the selected apples is defective.
Combination of n things taken r at a time: nCr
a) combinations of healthy apples/all combinations
=13C4/15C4
=715/1365
=.5238
.
b) 1-.5238=.4762
.
Ed
Bao Yu is completing the square to solve the polynomial equation.
x2 – x – 3 = 0
What should be her first step?
adding –x to both sides of the equation
adding –3 to both sides of the equation
isolating the first term, x2
isolating the constant, –3
[tex]\\ \sf\longmapsto {x}^{2} - x - 3 = 0 \\ \\ \sf\longmapsto {x}^{2} - x = 3 \\ \\ \sf\longmapsto 4( {x}^{2} - x) = 4 \times 3 \\ \\ \sf\longmapsto 4 {x}^{2} - 4x = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 + {1}^{2} = 12 + 1 {}^{2} \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 12 + 1 \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 13 \\ \\ \sf\longmapsto 2x - 1 = \pm \sqrt{13} \\ \\ \sf\longmapsto 2x = 1 \pm \sqrt{13} \\ \\ \sf\longmapsto x = \frac{1 \pm \sqrt{13} }{2} [/tex]
Bao Yu first step to solve the equation is,
⇒ adding –3 to both sides of the equation
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The polynomial is,
⇒ x² - x - 3 = 0
Now,
We can solve the equation as;
⇒ x² - x - 3 = 0
⇒ x² - x - 3 + 3 = 3
⇒ x² - x = 3
⇒ x² - x + 1/4 = 3 + 1/4
⇒ (x - 1/2)² = 13/4
⇒ x - 1/2 = ±√13 / 2
⇒ x = ±√13 / 2 + 1/2
Hence, Bao Yu first step to solve the equation is,
⇒ adding –3 to both sides of the equation
Learn more about the mathematical expression visit:
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Given f(x) = 3x + 2 and g(x) = 2x - 1, find (g(x))2.
1- 2x2 - 4x + 1
2- 6x²+x-2
3- 4x2 - 4x + 1
4- 9x2 + 12x + 4
Helpppp plzzz
Answer:
C (if the sign after the digit 1,2,3,4 is not minus !!!)
Step-by-step explanation:
[tex]f(x)=3x+2\\\\g(x)=2x-1\\\\\\g^2(x)=(gog)(x)=g(g(x)=g(2x-1)=2(2x-1)-1=4x-2-1=4x-3\\\\\\if \ you\ means \ g(x)*g(x)\ then\\\\(g(x))^2=(2x-1)^2=4x^2-4x+1:\ answer \ C[/tex]
Identify the perimeter of the figure.
Answer:
20 + 7 + 10 + 26 + 24 + 12 + 16 + 7 = 122cm
What is – x4 + 2x3 + 6x2 – 10x – 4 divided by X – 2?
Answer:
-x^3 + 6x + 2
Step-by-step explanation:
lets try this again plz help
Answer:
[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]
A commercial real estate developer creates a scale drawing of a commercial property that he
hopes to sell. The ratio of the area of the drawing to the actual area of the commercial property
is 1 ft? : 900 ft. The developer hopes to sell the commercial space for $1,800,000, which
would be equivalent to $1000 per 1 square foot (ft?) of the property's area. To the nearest
square foot, what is the area of the scale drawing?
Find the area of the actual property by diving the sale price by the price per square foot:
1,800,000 / 1,000 = 1,800 square feet
Divide actual are by the scale:
1800 / 900 = 2
The scale drawing is 2 square inches.
The area of the square draw will be 2 square inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The scale factor is a way to compare figures with similar appearances but differing scales or measurements. Consider two circles that resemble one another but may have different radii.
Given that area is 900 ft. the developer hopes to sell the commercial space for $1,800,000, which would be equivalent to $1000 per 1 square foot (ft?) of the property's area.
The area of the actual property by diving the sale price by the price per square foot:
1,800,000 / 1,000 = 1,800 square feet
Divide actual are by the scale:
1800 / 900 = 2
Therefore, the area of the square draw will be 2 square inches.
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at old oak farm, there are chicken and horses. there are 120 legs and 48 heads altogether. how many horses and how many chickens are there?
Answer:
24 horses and 12 chicken
Answer
24chickens and 14 horses
Step-by-step explanation:
Mary spent $15. If this was 20% of her earrings, how much money did she earned?
Hi, I'm happy to help!
First off, we need to arrange an equation for what is being asked. 15 is 20% of her earnings and we don't know her total earnings.
15=20%×__
We can write this percentage as
15=0.2×__
We then change the equation to do the inverse operation, which is division, this makes it easier to solve.
15÷0.2=__
Now, we solve
15÷0.2=75
She earned $75
I hope this was helpful, keep learning! :D
What is the inverse of the function y = -8x + 15?
A. y = 1/8x + 15
B. y = -8x - 15
C. y = (x - 15)/-8
D. y' '= -1/8x + 1/15
Answer:
c) ( x-15)/-8
Step-by-step explanation:
c) (x-15) / -8
Answer:
Solution given:
y = -8x + 15
interchanging role of x and y
we get
x=-8y+15
solve for y
x-15=-8y
divide both side by-8
we get
-8y/-8=(x-15)/-8
y=(x-15)/-8
:.
C. y = (x - 15)/-8 is a required inverse.
