In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?
Answer:
The number of heating degree days is 16.5.
Step-by-step explanation:
First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:
[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)
[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]
[tex]T = 48.5\,^{\circ}F[/tex]
And the number of heating days is:
[tex]H = 65-48.5[/tex]
[tex]H = 16.5[/tex]
The number of heating degree days is 16.5.
Can you find the solution Im so confused
THIRTY PIONTS!!!! Danny measured the length of three desks as 2 1/4 feet, 2 3/20 feet, and 2 39/60 feet. Put the length of desks in order from least to greatest.
Answer:
LEAST TO GREATEST: 2 3/20, 2 1/4, 2 39/60
Step-by-step explanation:
3 is not a quarter of 20. meaning it is shorter than a quarter. 39 is longer than half of 60. meaning it is longer than a quarter so it is the longest
I need help. If you can, thank you.
Answer:
Y = 2x + 1
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Hometown Cable has the 'Triple Play' package. It offers a land line. Internet service, and cable TV for one fixed price. If you already subscribe to their cell phone service, they offer and additional 12% off the price of the 'Triple Play' package. If the DISCOUNTED price of the 'Triple Play' package is $132, what is the price of the package WITHOUT the discount? (Hint: What % of the original price is the discounted price?)
Answer:
the price of the package without the discount is $150
Step-by-step explanation:
The computation of the price of the package without the discount is shown below:
Let us assume the price without discount be x
So after discount it would be x - 0.12x = 0.88x
Now the equation would be
0.88x = $132
x = $132 ÷ 0.88
= $150
hence, the price of the package without the discount is $150
We simply applied the above formula so that the correct value could come
And, the same is to be considered
I need help please #22
Answer:
8 because u need to divide 40 by 5
Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
Question options:
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river
Explanation:
Formula to calculate standard deviation = √p(1-p)/n
Given p= population proportion
n= sample size
From the question,
We are given p(population proportion of catfish in the river)= 0.47
n(sample size of fish collected from river) = 25
The standard deviation using the formula above = √0.47(1-0.47)/25
= 0.0998
The 10% condition demands that a sample size be not less than 10% of the population
To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,
10% of 250= 0.10×250=25 fish
Therefore the option B chosen is correct
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x=-5
O X= 4
O y=-5
O y = 4
Answer:
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Step-by-step explanation:
We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)
We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0
We need to find k, by putting value of x=-5 as given in question the point(-5,4)
-5+k=0
k=5
So, the equation of line will be found by putting k=5:
x+k=0
x+5=0
x=-5
So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Hi I know its a lot of rate of change I just don't understand
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 0)
Point (1, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-0}{1-0}[/tex]Subtract: [tex]m=\frac{4}{1}[/tex]Divide: [tex]m=4[/tex]What is the answer.”what is the slope and the y-intercept of the line on the graph below.
Answer: A: Slope = -4, y-intercept 1
Step-by-step explanation:
To find slope, do rise over run. The y-intercept is where the line crosses the y-axis.
WHAT in the valuE of 3n=1 when n=4?
Answer: 4
Step-by-step explanation:
help please!
Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.
Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.
Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.
As per the given graph,
Triangle GHI and triangle DEF are plotted.
If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.
And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.
Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".
To learn more about congruence,
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Not an emergency question, but it’s kinda important.
Which one is greater 4% or 0.001%
Answer:
4%
Step-by-step explanation:
dude if you got a whole number and a decimal, the whole number is going to be greater (as long as it isn't negative)
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9.
What is the original number?
-4
-30
4
30
Answer:
regular 4 is correct
Step-by-step explanation:
Answer:
C. 4
Step-by-step explanation:
Please help me I dont know how this works.
Answer:
Step-by-step explanation:
Average =
Sum
Count
=
17.3
3
= 5.7666666666667
What is the equation of this line in slope intercept form? 2x+y=−19
y=−2x−19
y=2x+19
y=2x−19
y=−2x+19
Please help
Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:
Cat toy $4
Cat food $12
Litter box $16
Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.
Answer: 16x+96
Step-by-step explanation:
Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96
What is the slope of the line?
I really need help with the first one, so I can do the rest of anyone could help I’d be so grateful.
Answer:
1) a = 1 ; b = 5 ; c = 0
2) a = 1 ; b = 3 ; c = 10
3) a = -5 ; b = -7 ; c = 2
4) a = 1 ; b = 2 ; c = -9
5) a = -7 ; b = 6 ; c = -1
6) a = 4 ; b = -10 ; c = -7
Step-by-step explanation:
a , b & c are just coefficients of the equation
Answer: [tex]x^{2}[/tex] =5x=0
Step-by-step explanation:
Julie has two bags of grapes. One weighs 5/8 pound and the ther weighs 1/4 pound. What is the difference in the two bags of grapes?
Answer:
one bag is heavier and the other is lighter.
Step-by-step explanation:
5/8 = more than half a pound
1/4 = less than half a pound
Answer:
3/8
Step-by-step explanation:
You have to make 1/4's denominator match the denominator of 5/8.
By multiplying it by 2.
1/4 =2/8
You then subtract 2/8 into 5/8 to get 3/8
what is an equation of the line that passes through the points (1,2) and (2,-1) 
Answer:
[tex]y = - 3x + 5[/tex]
You should also try solving it yourself to make sure I did not make any mistake.
Step-by-step explanation:
Equation
[tex]y = mx + b[/tex]
First we need to know the slope
[tex]slope = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]slope = \frac{2 - ( - 1)}{1 - 2} = \frac{3}{ - 1} = - 3[/tex]
So far the equation will look like this
[tex]y = - 3x + b[/tex]
To get the b you insert a point into the equation like this. I picked point (1,2)
[tex]2 = - 3 \times 1 + b[/tex]
[tex]b = 5[/tex]
We could also check it with the other point and see if we get the same answer.
[tex] - 1 = - 3 \times 2 + b[/tex]
[tex]b = 5[/tex]
So the equation is
[tex]y = - 3x + 5[/tex]
Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?
Answer:
34
Step-by-step explanation:
184 divided bye 4
Answer:
37 miles
Step-by-step explanation:
148/4
7. Use the base angles of triangle ABC to find the measure of angle CBD.
Answer:
96
Step-by-step explanation:
For those of you who have an 84 angle for angle D and E isosceles trapezoid the base legs will be equal due to the congruent legs, all of the interior angles of a trapezoid will add up to 360, D and E equal 84, 360-84-84 would be 192, now since the base angles are equal due to the congruent legs 192/2 would be 96. Angles B and C are 96.
The external angles of a triangle are those created outside of it. The measure of ∠CBD is 132°.
What is an exterior angle?The external angles of a triangle are those created outside of it. In other terms, a triangle's external angle is the angle produced between one of its sides and its neighbouring extended side.
The diagram for the given condition can be made as shown below.
In a triangle, the sum of two interior angles is equal to the exterior angle for the angle which is left. Therefore, the measure of ∠CBD can be written as,
∠CBD = ∠BAC + ∠BCA
∠CBD = 43° + 89°
∠CBD = 132°
Hence, the measure of ∠CBD is 132°.
The complete question is:
Triangle ABC with the measure of ∠A equal to 43° and the measure of ∠C equal to 89°. Ray AD passes through point B, creating external angle CBD.
Based on the information provided, what is the measure of ∠CBD?
m∠CBD =__________.
Learn more about Exterior Angle:
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Identify the range of the function shown in the graph.
A.–6 ≤ x ≤ 6
B.y is all real numbers.
C.0 ≤ y ≤ 8
D.y > 0
forgot to put photo but this is a repost HELP EMEBAHNDJFKG
Answer:
a
Step-by-step explanation:
What is - 2 x 6 - 5^2?
Answer:
The answer is -300
Step-by-step explanation:
The answer is -300 because -2 multiplied by 6 is -12 and -12 times 25 is -300
13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi
Answer:
What is the circumference of a circle whose area is 16 π ?
A. 64 π
B. 32 π
C. 8 π
D. 4 π
Step-by-step explanation:
its 8 π cause it said it was correct
yooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer:
yooooooooooooooooooooooooooooo
Proporcione un contraejemplo para cada una de estas afirmaciones para demostrar que no son clertas.
Parte A
Todos los cuadriláteros con 4 ángulos rectos son cuadrados
Parte B
Todos los números divisibles por 5 son impares
Answer:
Can you translate it to English?
Step-by-step explanation:
So I can answer
Midpoint of (-6, 3) and (8, -7)
Answer:
Midpoint of (-6, 3) and (8, -7) is: (1, -2)
Step-by-step explanation:
Given the points
(-6, 3)(8, -7)Computing the midpoint of (-6, 3) and (8, -7) using the formula
⇒ [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-6,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]
⇒ [tex]\left(\frac{8-6}{2},\:\frac{-7+3}{2}\right)[/tex]
⇒ [tex]\left(1,\:-2\right)[/tex]
Therefore, Midpoint of (-6, 3) and (8, -7) is: (1, -2)
