Answer:
a. The amount by which the temperature changed from 7 p.m. to 7 a.m. is -12 degrees Fahrenheit
b. The change in temperature each hour is -1 degrees Fahrenheit each hour
Step-by-step explanation:
The temperature at 7 p.m. last night = 10 degrees Fahrenheit
At 7 a.m. the next morning, the temperature = -2 degrees Fahrenheit
a. The amount, ΔT, by which the temperature changed from 7 p.m. to 7 a.m. is given as follows;
ΔT = (-2 - 10) degrees Fahrenheit = -12 degrees Fahrenheit
b. Given that the temperature changed by a steady amount over night, w have, the change each hour is given as follows;
The change in temperature each hour = (The change in temperature)/(The time duration for the change)
We note that the change in time from 7 p.m. last night to 7 a.m. the next morning = -(7 - 19) = 12 hours (The minus sign is used because the 7 a.m. in the morning is higher than the 19 hours in the previous night
The change in temperature each hour = ΔT/(19 - 7) = -12/12 = -1 degrees Fahrenheit each hour.
PLEASE HELP ME :(
If A=1/2 h (b1 +b2) is the formula for the area of a trapezoid, find the height of the trapezoid that has an area of 78 in ^2 and base lengths 5 in and 8 in.
Answer:
A. 12in
Step-by-step explanation:
Given parameters:
Area of trapezoid = 78in²
Base lengths = 5in and 8in
Unknown:
Height of the trapezoid = ?
Solution:
A = [tex]\frac{1}{2}[/tex] (b₁ + b₂)h
b₁ and b₂ are 5in and 8in respectively.
Input the parameters and solve for h;
78 = [tex]\frac{1}{2}[/tex] (5 + 8)h
Multiply both sides by 2;
156 = 13h
h = 12in
The height of the trapezoid is 12in
Maria found th least common multiple of 6 and 15. her work is shown below
multiples of 6:6,12,18,24,30,36,42,48,54,60
multiples of 15: 15,30,45,60
the least common multiple is 60
what is her error?
Answer:
LCM is 30.
Step-by-step explanation:
She forgot that they both can multiply into 30. She listed all their multiples and their LCM is 30. Not 60. That's her error.
Hope this helps and have a nice day!
PLZ HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
Completely factor the following polynomial: 8x^3−125
Answer:
(2x-5)(4x^2+10x+25)
Explanation:
Factoring difference of cubes (a3−b3): (a−b)(a2+ab+b2)
Here, a is 2x because the cube root of 8 is 2 and the cube root of x3 is x, b is 5 because the cube root of 125 is 5.
Plug the numbers in:
(2x−5)((2x)2+2x⋅5+52)
(2x−5)(22x2+10x+25)
(2x−5)(4x2+10x+25)
Answer:
8x^3 can also be written as [tex](2x)^{3}[/tex].
-125 can also be written as [tex]-5^{3}[/tex].
Factoring the polynomial:
[tex](2x)^3+(-5)^3[/tex]
To determine the _____________, measure the distance around the outside of a closed shape such as a square.
the perimeter. The perimeter is the total sum of all the edges
Lilly starts hiking along a trail at 3 miles per hour. Dave starts hiking the same trail from the same starting point at 3.5 miles per hour. If lilly walked 2 miles before Dave started hiking , will he catch up to her ? write a equation
Given:
Lilly starts hiking along a trail at 3 miles per hour.
Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.
lilly walked 2 miles before Dave started hiking.
To find:
Whether he will catch up to her and write an equation.
Step-by-step explanation:
Let the number of hours when both are hiking be h.
lilly walked 2 miles before Dave started hiking at 3 miles per hour.
Lilly hiking = 2+3h
Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.
Dave hiking = 3.5 h
He will catch her if hiking distance of both are equal.
[tex]2+3h=3.5h[/tex]
Subtract 3h from both sides.
[tex]2=3.5h-3h[/tex]
[tex]2=0.5h[/tex]
Divide both sides by 0.5.
[tex]\dfrac{2}{0.5}=h[/tex]
[tex]4=h[/tex]
Therefore, Dave will catch her after 4 hours.
Dave will catch up Lilly after 4 hours.
Since Lilly starts hiking along a trail at 3 miles per hour, and Dave starts hiking the same trail from the same starting point at 3.5 miles per hour, if Lilly walked 2 miles before Dave started hiking, to determine when he will have catch up to her the following calculation must be performed:
The initial distance between the two must be divided by the difference between their speeds. 2 / (3.5 - 3) = X 2 / 0.5 = X 4 = X
Therefore, Dave will catch up Lilly after 4 hours.
Learn more in https://brainly.com/question/13590356
Joey’s parents told him that for every 3 hours of chores he completes, they would give him $11for his allowance. His friend Sarah’s parents told her that she would earn $2 for every 30 minutes of chores completed. If both kids spend the same amount of time on their chores, which person gets more money for their allowance? How do you know?
A runner ran 20 miles in 150 minutes. If she runs at that speed,
How long would it take her to run 6 miles?
How far could she run in 15 minutes?
How fast is she running in miles per hour?
What is her pace in minutes per mile?
Gianna is paid $90 for 5 hours of work.
At this rate,how much would Gianna earn for 8 hours of work? Show work to justify your answer.
At this rate, how long would Gianna have to work to earn $60? Show work to justify your answer.
150 ÷ 20 = 7.5 minutes per 1 mile
7.5 x 6 = 45 minutes
7.5 + 7.5 = 15 minutes or 2 miles in 15
60 ÷ 7.5 = 8 mph
mpm = 7.5
90 ÷ 5 = $18 per hour
18 x 8 = $144
18 x 3 = 54 (close to $60)
Step-by-step explanation:
hope this helps
Answer: (a) Sarah (b) 45 minutes (c) 2 miles (d) 8 miles per hour
(e) 7.5 minutes per mile (f) $144 (g) 3 1/3 hours
Step-by-step explanation:
[tex]\text{Joey:}\quad \dfrac{\$11}{3\ hours}\\\\\\\text{Sarah:}\quad \dfrac{\$2}{\frac{1}{2}\ hour}\times \dfrac{6}{6}=\dfrac{\$12}{3\ hours}[/tex]
When comparing the same number of hours, Sarah earns $12, Joey earns $11.
***************************************************************************************************
[tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{6\ miles}{x}[/tex]
Cross Multiply: 20(x) = 150(6)
Divide by 20: x = 900/20
Simplify: x = 45 minutes
***************************************************************************************************
[tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{x}{15\ minutes}[/tex]
Cross Multiply: 20(15) = 150(x)
Divide by 150: 300/150 = x
Simplify: 2 miles = x
***************************************************************************************************
Use conversion: 60 minutes = 1 hour
[tex]\dfrac{20\ miles}{150\ minutes}\times \dfrac{60\ minutes}{1\ hour}=\quad \dfrac{1200\ miles}{150\ hour}\quad =\large\boxed{\dfrac{8\ miles}{1\ hour}}[/tex]
***************************************************************************************************
[tex]\dfrac{150\ minutes}{20\ miles}\div \dfrac{20}{20}=\quad \large\boxed{\dfrac{7.5\ minutes}{1\ mile}}[/tex]
***************************************************************************************************
[tex]\dfrac{\$90}{5\ hours}=\dfrac{x}{8\ hours}[/tex]
Cross Multiply: 5(x) = 90(8)
Divide by 5: x = 720/5
Simplify: x = $144
***************************************************************************************************
[tex]\dfrac{\$90}{5\ hours}=\dfrac{\$60}{x}[/tex]
Cross Multiply: 5(60) = 90(x)
Divide by 90: 300/90 = x
Simplify: 3 1/3 hours = x
Point N is on line segment MO. Given NO = 2x– 3, MO = 3x + 5, and
MN = 2x + 3, determine the numerical length of MO.
Answer:
The numerical length of MO is 20 units
Step-by-step explanation:
Let us solve the question
∵ Point N is on line segment MO
→ That means point N divides segment MO into two parts MN and NO
∴ MO = MN + NO
∵ MO = 2x + 5
∵ MN = 2x + 3
∵ NO = 2x - 3
→ Substitute them in the equation above
∴ 3x + 5 = (2x + 3) + (2x - 3)
→ Add the like terms in the right side
∵ 3x + 5 = (2x + 2x) + (3 - 3)
∴ 3x + 5 = 4x + 0
∴ 3x + 5 = 4x
→ Subtract 3x from both sides
∵ 3x - 3x + 5 = 4x - 3x
∴ 5 = x
∴ The value of x is 5
→ To find MO substitute x by 5 in its expression
∵ MO = 3x + 5
∴ MO = 3(5) + 5
∴ MO = 15 + 5
∴ MO = 20 units
The numerical length of MO is 20 units
A submarine drops 1194 ft below sea level in 15 minutes. What is the rate of descent of the submarine
Answer:
79.6 ft / 1 minute
Step-by-step explanation:
Answer:
79.6ft per minute
Step-by-step explanation:
1194/15=79.6
does anyone know how to solve these
Answer:
e=49
f=131
d=90
Step-by-step explanation:
Solve the following equation. Round solution to the tenths place.
29 = с/7.2
C =
Answer:
c = 208.8
Step-by-step explanation:
a. [tex]\frac{c}{7.2} =29[/tex] To solve for C, you need to get the variable on one side of the equation and the numbers on the other side of the equation.
b. [tex]\frac{c}{7.2} =29[/tex] You need to move the 7.2 to the other side. So, multiply both sides by 7.2, because it's being divided, so multiplying will cancel it out.
c: [tex]c = 29 * 7.2[/tex] Then, multiply 7.2 by 29. (The * symbol means multiply)
d. c. = 208.8 The answer is 208.8, which is rounded to the tenths place.
Hope this helps! I tried to explain it in detail. :)
What is 3.54 x 102 in standard form?
What is the additive inverse of -6.
Answer: 6
Step 1: Subtract 6 to get to 0.
-6 - 6 = 0.
Step 2: Add 6.
0 + 6 = 6.
Answer = 6
4.58 x 106 in standard
notation.
Answer:
The answer is 4.8548 × 10^2
Step-by-step explanation:
Answer:
4.8548×10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of the decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal.
SOLVE ASAP PLEASE NEEDED IN A FEW MINUTES
Prove that for any a, the inequality is true:
a
10a^2−5a+1≥a^2+a
AND
Prove that for any a, the inequality is true:
b
a^2−a≤50a^2−15a+1
Step-by-step explanation:
I hope this is the answer
Can someone answer this ?
Answer: C. x= 1 and x= -4
Step-by-step explanation:
10=4x+6
4=4x subtract 6
1=x divide by 4
and
-10=4x+6
-16=4x subtract 6
-4=x divide by 4
Find b(4) in the sequence given by
b(1) = -5
b(n) = b(n-1) + 9
b(4) =
Answer: 22
Step-by-step explanation:
I got it right on khan academy
PLS HELP ME!!!!!!!!! I WILL MARK YOU!!!!!
Answer:
7.92
Step-by-step explanation:
Given
c² + 0.1c - 24 ← substitute c = - 5.7 into the expression
= (- 5.7)² + 0.1(- 5.7) - 24
= 32.49 - 0.57 - 24
= 31.92 - 24
= 7.92
2(3x – 7) = 16
Solve for x
Answer:
x=5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
what is the missing x for 2x + 65 = 180
Answer:
x=115/2
Step-by-step explanation:
Answer:
x = 57.5
Step-by-step explanation:
Step 1: Write equation
2x + 65 = 180
Step 2: Solve for x
Subtract 65 on both sides: 2x = 115Divide both sides by 2: x = 115/2Divide: x = 57.5Step 3: Check
Plug in x to verify it's a solution.
2(115/2) + 65 = 180
115 + 65 = 180
180 = 180
Help meh plz thx ☝︎︎
Answer:
sponge b00b
Step-by-step explanation:
Suppose you want to know how fast you traveled from the park to the library. As you moved, your speed varied from second to second. Therefore, in order to describe your speed, you must describe the average speed of the entire trip. Average speed is one reason. It is the distance an object moves divided by the time it takes to travel that distance. If you covered the 1 km distance to the library in 15 min, or 0.25 h, your average speed was 1 km / 0.25 h or 4 km / h.
Step-by-step explanation:
In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.
If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.
Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours
Now, using formula of speed = distance/time
[tex]v=\dfrac{1\ km}{0.25\ h}\\\\v=4\ km/h[/tex]
It means that the average speed of the person is 4 km/h. Hence, the given statement is true.
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
−12x+1=7x−14
Answer: x=15/19 =0.789
Step-by-step explanation: -12*x+1-(7*x-14)=0
-19x+15 = 0
Subtract 15 from both sides of the equation :
-19x = -15
Multiply both sides of the equation by (-1) : 19x = 15
Divide both sides of the equation by 19:
x = 15/19 = 0.789
x = 15/19 = 0.789
What is the rate of change of the function represented by the table?
X
1
A CON
O oon on
4
5
0
1
O 4
5
Answer:
a
Step-by-step explanation:
it would be 0
Answer:
The correct answer would be 0 because there is no rate of change represente in the table.
Step-by-step explanation:
Hope this helps!
Have a good day! :)
i need help fast plss
Answer:216
Step-by-step explanation:3x9x8
Answer:
12
Step-by-step explanation:
Solve for x.
X - 4 =
(8x - 16)
Answer:
x=12/7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
x=12/7 or x=1.714
PLEASE ANSWER
The amusement park won't allow kids to ride roller-coasters until they
are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows
about 1/2 inch every month. How many months will it be until Michael can
ride a roller coaster?
Answer:
12 months.
2 x 6 = 12
2+1= 43 2 months
2+1= 44 4 months
2+1= 45 6 months
2+1= 46 8 months
2+1= 47 10 months
2+1= 48 12 months
What is common ratio of the geometric sequence 11,-88,704
Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4
gives the next term. In other words,
an=a1.rn-1.
Geometric Sequence:
R=4
This is the form of a geometric sequence.
an=a1rn-1
Substitute in the values of
a1=11 and
r=4.an=(11)(.)4)n-1
Remove parentheses.
an=11.4n-1
Answer:
11,-88,704
Step-by-step explanation:
what exactly do u mean
What’s the inverse of the function f(x)=7x+2
PLEASE FIND THE ANSWER FAST!!!!!!!!!!!!!!
Answer:
P = 2( l + b )
=>130 = 2 (l + 30)
=>130 = 2l + 2*60
=> 130 = 2l + 60
=> 130 - 60 = 2l
=> 70 = 2l
=> 70/2 = l
=> 35 = l
Length = 35cm
Area = l * b
=> A = 35 * 30
=> A = 1050
Therefore area = 1050[tex]cm^{2}[/tex]
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
l=35 and A=1050
Step-by-step explanation:
the formula of rectangle to calculation perimeter is p=2(l+b)
130/2=l+b
l=35 and
A=l*b
a= 35*30=1050
(2x-6)+4(x-3) I need help
Answer:
6x-18
x=-3
Step-by-step explanation: