The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
Answers
At 5:00 a.m.:
T = -6 °F
At 3:00 p.m.:
T = 36 °F
The rise in temperature from 5:00 am is
36 - (-6) = 42 °F
At 8:00 p.m.:
The temperature decreased from the high of 36 °F by 42 °F (equal to the amount of increase from 5:00 a.m. to 3:00 p.m.).
Therefore the temperature at 8:00 p.m. is
36 - 42 = -6 °F
Answer: -6 °F
EDMENTUM QUESTION:
Kayla set up an outdoor digital thermometer to record the temperature overnight as part of her science fair project. She began recording the temperature, in degrees Fahrenheit, at 10:00 p.m. Kayla modeled the overnight temperature with function t, where h represents the number of hours since 10:00 p.m. t(h) = 0.5h2 − 5h + 27.5
Answer: 15°F at 3:00 a.m.
Step-by-step explanation:
Related Questions
Which table shows a linear function?
Thank you!
Answers
first graph: [-5,-3] has a slope of 0.5, [-1,1] has a slope of 2 -> not a linear function
second graph: [-4,-3] has a slope of -3, [-3,-2] has a slope of -1 -> not a linear function
third graph: slope matches for all subsection->is a linear function
fourth graph: [-4,-3] has a slope of +1, [-3,-2] has a slope of +2 -> not a linear function
-> the third graph is the only given linear function
Rajan climbed to a height of 10 ft from the bottom of a climbing wall. He then climbed up an additional 5 ft. What must he do to return to the bottom of the climbing wall?
Select from the drop-down menus to correctly complete the statement.
Rajan must climb _____ _____ ft to return to the bottom of the climbing wall.
1. Rajan must climb up, down, left, right? (Which way is it)
2. 5 ft, 10 ft, 15 ft, 20 ft
Answers
Answer:
Rajan must climb down 15 feet to return to the bottom of the climbing wall.
Step-by-step explanation:
Rajan climbed to a height of 10 ft from the bottom of a climbing wall.
He then climbed up an additional 5 ft.
So, in total he climbed [tex]10+5=15[/tex] feet
If Rajan wants to return to the bottom, he must climb down 15 feet.
Answer:
Rajan must climb down 15 feet to return to the bottom of the climbing wall.
Help with this question !
Answers
1. Write all the given as you did 1. Given
2. <DBA and <DBC are right angles 2. Def of perpendicular lines
3. m<DBA = 90 3. Def of right angle
m<DBC = 90
4. m<DBA = m<DBC 4. Substitution
5. m<DBA = m<1 + m<3 5. Angle addition postulate
m<DBC = m<2 + m<4
6. m<1 + m<3 = m<2 + m<4 6. Substitution
7. m<3 = m<4 7. Subtraction prop of equality
What are the steps for using a compass and straightedge to construct a square? Drag and drop the steps in order from start to finish.
Use the straightedge to draw FD ¯ ¯ ¯ ¯ ¯ and FE ¯ ¯ ¯ ¯ ¯ .
Keeping the same compass width, place the compass on point E and draw an arc in the interior of ∠DBE to intersect the previously drawn arc. Label the point of intersection as point F.
Use a straightedge to draw line t and label a point on the line as point B.
Without changing the compass width, place the compass point on point D and draw an arc in the interior of ∠DBE .
With the compass open to the desired side length of the square, place the compass point on point B and draw an arc on line t and an arc on BC ← → . Label the points of intersection as points D and E.
Construct a line perpendicular to line t through point B. Label a point on this line as point C.
Answers
Answer:
See explanation below.
Step-by-step explanation:
To construct a square using only a compass and a straightedge first we need to:
Use a straightedge to draw a line (we will name the line t) and label a point on the line as point B.Then, you will draw a perpendicular line to the segment that passes through point B ( To remember how to draw a perpendicular line through a segment see the note at the end of the explanation), label a point on this line as point C.With the compass open to the desired side length of the square (meaning the measure of the side of the square you need), place the compass point on point B and draw an arc on line t and an arc on BC. Label the points of intersection as points D and E.Without changing the compass width, place the compass point on point D and draw an arc in the interior of ∠DBE .Keeping the same compass width, place the compass on point E and draw an arc in the interior of ∠DBE to intersect the previously drawn arc. Label the point of intersection as point F.Finally, use the straightedge to draw FD and FE (the other two sides of the square are DB and DE)*Note: To draw a perpendicular line through a segment follow the next steps:
Place the compass point at point B Draw an arc of ANY size that crosses line t twice (one to the left of point B and one to the right)Stretch the compass larger than you first did and place the point at one of the points where the previous arc crossed the line. Draw an arc above the line.Using the same width you used on step 3, place the compass point at the other point in the line.From there draw an arc above the line that crosses the other arc from step 4.Using your straightedge draw a line from the intersection of both arcs and point B and this line will be perpendicular to the line and it will pass through point B.Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the slope of the line. What can you conclude about this line?
Answers
A line has the following standard equation form:
y = m x + b
where m is the slope and b is the y intercept
So if Ariel cannot find the slope, then this would only mean that m = 0, there is no slope. And hence the line is either a straight vertical line or straight horizontal line.
Answer:
There is no slope
Given only the information that a line has x and y intercepts and a positive slope, Ariel cannot directly calculate the slope without knowing the exact values of the intercepts. Knowledge of two distinct points on the line is necessary for calculating the slope.
Explanation:Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the slope of the line. What can you conclude about this line? If given only the x and y intercepts without the exact numeric values or additional points, determining the slope directly is challenging because the slope formula, Δy/Δx (change in y over change in x), requires knowledge of at least two distinct points on the line (other than the intercepts without their exact values). However, knowing that a line has both an x and a y-intercept implicitly indicates it is neither vertical nor horizontal, and stating it has a positive slope provides a general direction of the line's angle relative to the axes.
To find the slope, you generally need the coordinates of two distinct points on the line. For instance, if the y-intercept is given as (0, b) and the x-intercept as (a, 0), the slope m can be found by the difference in y values divided by the difference in x values, or (0 - b) / (a - 0) = -b/a. But without knowing a and b's exact values, Ariel cannot calculate the numeric value of the slope. This indicates a limitation in calculating slope with incomplete information about the intercepts' exact numerical values but not an inherent impossibility of the line to have a determinable slope if such values were known.
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Select each correct answer.
(0, −3)
(2, −2)
(1, −4)
(6, 1)
(−3, 0)
Answers
we have
[tex]2y-x\leq -6[/tex]
we know that
if a ordered pair is a solution of the inequality
then
the ordered pair must satisfy the inequality
we will proceed to verify each case to determine the solution of the problem
case A) [tex](0,-3)[/tex]
Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality
so
[tex]2*(-3)-0\leq -6[/tex]
[tex]-6\leq -6[/tex] -------> Is True
therefore
the ordered pair [tex](0,-3)[/tex] is a solution of the inequality
case B) [tex](2,-2)[/tex]
Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality
so
[tex]2*(-2)-2\leq -6[/tex]
[tex]-6\leq -6[/tex] -------> Is True
therefore
the ordered pair [tex](2,-2)[/tex] is a solution of the inequality
case C) [tex](1,-4)[/tex]
Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality
so
[tex]2*(-4)-1\leq -6[/tex]
[tex]-9\leq -6[/tex] -------> Is True
therefore
the ordered pair [tex](1,-4)[/tex] is a solution of the inequality
case D) [tex](6,1)[/tex]
Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality
so
[tex]2*(1)-6\leq -6[/tex]
[tex]-4\leq -6[/tex] -------> Is False
therefore
the ordered pair [tex](6,1)[/tex] is not a solution of the inequality
case E) [tex](-3,0)[/tex]
Substitute the value of x and y in the inequality, if the inequality is true, then the ordered pair is a solution of the inequality
so
[tex]2*(0)-(-3)\leq -6[/tex]
[tex]3\leq -6[/tex] -------> Is False
therefore
the ordered pair [tex](-3,0)[/tex] is not a solution of the inequality
therefore
the answer is
[tex](0,-3)[/tex]
[tex](2,-2)[/tex]
[tex](1,-4)[/tex]
Simplify.
(-5.12) - (-4.7) + (7.021)
6.79
6.601
-2.799
Answers
(-5.12)-(-4.7)+(7.021)
= -0.42+7.021
= 6.601
$8 euros were worth $9 and $24 euros were worth $27 write an equation of the form y=kx to show the relationship between the number of euros and the value in dollars.
Answers
Match the following items.
1. 2x + x + 4 = -17
subtraction
2. 3x + 4 =-17
division
3. 3x =- 21
combine like terms
4. x = -7 Given
Answers
Answer and explanation:
To find : Match the following items.
Solution :
We arrange all steps by steps,
Step 1 - Given
[tex]2x + x + 4 = -17[/tex]
Step 2 - Combine like terms,
[tex]3x+ 4 = -17[/tex]
Step 3 - Subtract 4 both side,
[tex]3x=-21[/tex]
Step 4 - Divide by 3 both side,
[tex]x=-7[/tex]
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The following are matched:
1. 2x + x + 4 = -17 ------------ ( Given )
2. 3x + 4 =-17 ----------(combine like terms)
3. 3x =- 21 -----------( subtraction )
4. x = -7 -------------( division )
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Given,
2x + x + 4 = -17
We will combine the like terms.
3x + 4 = -17
We will subtract 4 on both sides.
3x = -17 - 4
3x = -21
Divide both sides by 3.
x = -21/3
x = -7
Thus,
1. 2x + x + 4 = -17 ------------ ( Given )
2. 3x + 4 =-17 ----------(combine like terms)
3. 3x =- 21 -----------( subtraction )
4. x = -7 -------------( division )
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Solve for x.
89(54x−36)+2=−34(−40+16x)+90x
Answers
..................
There is an average of 3.5×10−2 kilograms of dissolved salt in each liter of seawater. The Pacific Ocean contains approximately 6.6×1020 liters of seawater. About how many kilograms of dissolved salt are in the Pacific Ocean? Enter your answer, in scientific notation, in the boxes. ×× 10 kg
Answers
3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾
3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾ = 3.5 * 6.6 * 10⁻² * 10²⁰⁾
xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ - 10⁻² * 10²⁰ = 10⁽⁻² ⁺ ²⁰⁾ = 10⁽ ¹⁸ ⁾
3.5 * 6.6 * 10⁽ ¹⁸ ⁾
3.5 * 6.6 = 23.1
Quick Answer:
2.31 x 10^19 kg
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Drag an answer to each box to complete this paragraph proof.
Given: ∠PQR and ∠RQS are supplementary angles and m∠PQR=115°
Prove: ∠RQS is an acute angle.
It is given that ∠PQR and ∠RQS are supplementary angles. So, m∠PQR+m∠RQS=180° using the ________ . It is also given that m∠PQR=115° . Using the substitution property of equality, ________ + m∠RQS=180° . Using the subtraction property of equality, m∠PQR=65° . Therefore, ∠RQS is an acute angle by ________ .
A. definition of complementary angles
B. definition of supplementary angles
C. definition of acute angle
D. definition of obtuse angle
E. 180°
F. 115°
Image uploaded below:
V V V
Answers
Answer: The correct options for blank 1,2 and 3 are B, F and C respectively.
Explanation:
It is given that the ∠PQR and ∠RQS are supplementary angles and ∠PQR=115°.
The two angles are called supplementary angles if they are lies on the same arc of a straight line and their sum is 180 degree.
Since it is given that ∠PQR and ∠RQS are supplementary angles, so by the definition of supplementary angles we can say that their sum is 180 degree.
[tex]\angle PQR+\angle RQS=180^{\circ}[/tex] .... (1)
Therefore, the correct option for first blank is option B.
It is given that ∠PQR=115°.
Using the substitution property of equality, the equation (1) can be written as,
[tex]115^{\circ}+\angle RQS=180^{\circ}[/tex]
Therefore, the correct option for second blank is option F.
Using the subtraction property of equality, ∠PQR=65° .
An angle less that 90 degree is called an acute angle and the an angle more than 90 degree but not more that 180 degree is called an obtuse angle.
Since 65 is less than 90, so by the definition of acute angle the ∠RQS is an acute angle.
Therefore, the correct option for third blank is option C.
Nine friends will equally share 12 glasses of punch how many glasses of punch will each friend get A.3/4 B.1/3 C.4/3 D.3
Answers
simplify;
3/4
so A is the answer.
God bless!
Solve for b in the formula 3 a + 2 b = c .
A. b=c-3a
B. b=c-2/3a
C. b=c-3a/2
D. b=2c/3a
Answers
Let me know if you need an explanation
The value of b from the given equation is (c-3a)/2. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3a+2b=c.
Now, 2b=c-3a
b= (c-3a)/2
The value of b from the given equation is (c-3a)/2. Therefore, option C is the correct answer.
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Jack purchases 12 gallons of gas on Monday. He uses 2/3 of the amount purchased commuting to and from work during the week and an additional 2 gallons running errands. How many gallons of gas does john use from work and errands?
Answers
Answer: Using operations with fractions, John uses 10 gallons from work and errands.
Solution:
Jack purchases 12 gallons of gas on Monday.
He uses 2/3 of the amount purchased commuting to and from work during the week:
(2/3)(12)=(2/3)(12/1)=(2*12)/(3*1)=24/3=8
Then John uses 8 gallons commuting to and from work during the week.
And an additional 2 gallons running errands.
John uses in total from work and errands= 8 gallons+2 gallons
John uses in total from work and errands= 10 gallons
Which of the following statements is true?
All trapezoids are parallelograms.
All parallelograms are trapezoids.
All rectangles are squares.
All rhombuses are rectangles.
Answers
Answer:
The answer is B. All parallelograms are trapezoids.
Step-by-step explanation:
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. That makes the opposite of facing sides are parallel to each other. The the definition of trapezoid is a convex quadrilateral with at least one pair of parallel sides. Therefore, all parallelograms are trapezoids.
The true statement among the given options is, B. All parallelograms are trapezoids.
A trapezoid is a quadrilateral with at least one pair of parallel sides, but it doesn't require all sides to be parallel. Therefore, not all trapezoids are parallelograms. (Statement A is false)
A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Every trapezoid has at least one pair of parallel sides, so it can be considered a special case of a parallelogram. Therefore, all trapezoids are parallelograms. (Statement B is true)
A rectangle is a quadrilateral with all four angles equal to 90 degrees. It has opposite sides that are parallel and equal in length. A square is a special type of rectangle with all sides of equal length. However, not all rectangles have all sides of equal length, so statement C is false.
A rhombus is a quadrilateral with all four sides of equal length. It has opposite sides that are parallel, making it a parallelogram. Since a rectangle is a parallelogram with right angles, and a rhombus is a parallelogram with equal sides. Therefore, statement D is also false.
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Change each fraction to a decimal. If the division doesn’t end, round your answer to the nearest hundredth. a. 3⁄4 b. 7⁄16 d. 3⁄5 e. 7⁄40 f. 51⁄20
Answers
b. 0.44
d. 0.6
e. 0.18
f. 2.55
Answer:
the other person forgot to answer c
Step-by-step explanation:
a 0.75
b 0.44
c 0.6
d 0.6
e 0.18
What is 55 x 10 to the power of 4 in scientific notation
Answers
5.500
Let f(x)equals=33xminus−1, h(x)equals=startfraction 7 over x plus 5 endfraction 7 x+5 . find (hcircle◦f)(66).
Answers
A street that is 270m long is covered in snow. city workers are using a snowplow to clear the street. a tire on the snowplow has to turn 45 times in traveling the length of the street. what is the diameter of the tire?
Answers
what are the domain range and asymptote of h(x)=(1.4)^x+5
Answers
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
Which of the following is an example of gameplay in a video game
A: the art of a game
B: the player interacting with the game world and game mechanics
C: the personalities of all the characters
D:all of the above
Answers
Answer:
B: the player interacting with the game world and game mechanics
Step-by-step explanation:
Front-row tickets for a concert cost $60. After every 5 rows, the ticket price goes down by $5. What is the total amount of money generated by a full house? Info: There are 20 rows that increase by 3 seats each time starting with 18.
Answers
a. Write an arithmetic series in summation notation to represent the number of seats in the theater,∑n=12018+3(n−1)b. What is the total seating capacity of the theater?
930 seats
c. Front row seats cost $60. After every 5 rows, the price drops $5. What is the amount generated by a full house?
$46950
2. An arithmetic series has a first term of 4. The sum of the first 40 terms is 6080. Find the value of the 40th term?
use the formula
sum of first n terms = n/2 * (s1 + sn)
6080 = 40/2 * (4 + sn)
Solve an equation to answer the question
Jose bought 2 movie tickets and a box of popcorn. The popcorn cost $6, and he spent a total of $24. How much did each ticket cost? Use m to represent the cost of each movie ticket.
A. 6m+2=24 m=3 ; each ticket cost $3.
B. 2m+6=24 m=9 ; each ticket cost $9.
C. 2m+6=24 m=15 ; each ticket cost $15.
D. 6m+2=24 m=4 ; each ticket cost $4.
Answers
Subtract 6 from both sides.
2m = 18
Divide both sides by 2.
m = 9
Hope this helps!
Answer:
B) 2m+6=24 m=9 ; each ticket cost $9.
Step-by-step explanation:
Given: Jose bought 2 movie tickets and a box of popcorn. The popcorn cost $6, and he spent a total of $24.
Here "m" represents the cost of each movie ticket.
Now let's form an equation.
2m + box of popcorn = $24
Box of popcorn cost $6
So,
2m + 6 = 24
Now, we have to solve for m.
Subtract 6 from both sides, we get
2m + 6 - 6 = 24 - 6
2m = 18
Dividing both sides by 2, we get
2m/2 = 18/2
m = 9
So, the cost of movie ticket is $9 each.
Therefore, the answer is B) 2m+6=24 m=9 ; each ticket cost $9.
explain quantum physics and math
Answers
Final answer:
Quantum physics is the branch of physics that deals with small objects and the quantization of various entities, including energy and angular momentum. Mathematics plays a crucial role in explaining quantum physics. It has various applications and impacts our understanding of the universe and technology.
Explanation:
Quantum physics is the branch of physics that deals with small objects and the quantization of various entities, including energy and angular momentum. It focuses on understanding the behavior of subatomic particles and the strange submicroscopic world they inhabit. Quantum mechanics, a part of quantum physics, describes the motion of objects that are atomic or subatomic in size and demonstrates wave-particle duality.
Mathematics plays a crucial role in explaining quantum physics. The mathematics of probability is used to describe the behavior of complex quantum systems. Additionally, equations and mathematical models are used to calculate and predict the behavior of subatomic particles.
Quantum physics has many applications and impacts our understanding of the universe and technology. It helps explain phenomena such as why some materials conduct electricity while others do not. It is also vital in areas such as atomic and nuclear physics, where it is used to study and manipulate the behavior of particles and systems at the quantum level.
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = 4x5 – 3x
Answers
It really is five roots in e2020
Put the numbers in order from smallest to largest.
5.0
4.5
3.1
4.9
3.6
4.2
Answers
3.6
4.2
4.5
4.9
5.0
Hope it helps
Have a nice day!
Which is an equivalent equation solved for y ?
Answers
divide both sides of the function by πx to get y=a/(πx)
Answer:
4th Option is correct.
Step-by-step explanation:
Given:
x and y are the half length of the largest and smallest diameter of the ellipse.
Area of the Ellipse , a = πxy
To find: Equivalent Equation for y.
Consider,
a = πxy
πxy = a
(πx)y = a
transpose πx to RHS,
[tex]y=\frac{a}{\pi x}[/tex]
y = a ÷ ( πx )
Therefore, 4th Option is correct.
Leanne is trying to choose between two party dresses that originally cost $120 one dress is on 1/4 off and the $40 what is the price of less expensive dress
Answers
Hiram sells kites to various corporations. To maintain his business, he must sell an average of 50 kites per month. After 5 months, Hiram has sold 30, 42, 77, 90, and 52 kites in each of the 5 months. How many kites would Hiram have to sell in the 6th month for him to meet his average of 50 kites?
Answers
=> sum of values = average * number of values
average = 50
number of values = number of months = 6
=> sum of values = 50 * 6 = 300
sum of values = 30 + 42 + 77 + 90 + 52 + x = 300
Where x is the number of kites that he has to sell to meet 300 kites sold.
x = 300 - 30 - 42 - 77 - 90 - 52 = 9
Answer: he has to sell 9 kites to meet the average of 50 kites monthly.