Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Step-by-step explanation:
A temperature falls from 0 to [tex]- 12\dfrac{1}{4}[/tex] in [tex]3\dfrac{1}{2} \ hours[/tex]
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is [tex]- 12\dfrac{1}{4}[/tex]
The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]
[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]
[tex]\Delta T = -12.25[/tex]
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]
x° = - 3.5
x° = [tex]- 3\dfrac{1}{2}[/tex]
Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]
Answer:
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Step-by-step explanation:
A
Need HELP!!!!!! Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer.
Answer:
y = 1/3x - 1
Step-by-step explanation:
1. if the gradient is -3, then the gradient of the perpendicular line should be 1/3.
2. substitute the new gradient and points into y - y1 = m (x - x1)
3. rearrange/move everything to give you the equation in y = mx + c form
what is the slope.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is the rise over run, so...
It is 3/1 or just 3.
Step-by-step explanation:
Rise/run is slope
(2,1) is a point on the line, and so is (3,4)
Evaluate (x + y)^0for x = -3 and y = 5.
-1/2
2
1 0
Answer: 2
Step-by-step explanation:
[tex](-3+5)^0=2[/tex]
Henry decides to start an investment savings account. He initially deposits $500 dollars to the bank. Every year, Henry's bank account increases by 15%. Assume x represents the number of years and y is the amount of money in the bank. Which function models this situation below?
Answer:
[tex]y= 500(1+0.15)^x[/tex]
Step-by-step explanation:
This problem can be solved using concept of compound interest
In compound interest
if p is the principal amount
and r is the interest rate
then value of principal amount(A) after n years time is given by
A = p(1+r)^n
=>[tex]A = p(1+r)^n[/tex]
__________________________________
in the problem
in place of n we have x years
y is the amount which is the total amount after n years
p is the principal money deposited = $500
r = 15%
substituting these value in the formula for amount after n years we have
[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]
Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]
Elsa used the multiplication table below to write ratios that are equivalent to StartFraction 12 Over 4 EndFraction. A multiplication table. One number is missing from the equivalent ratio, as shown. StartFraction blank Over 12 EndFraction What is the missing number?
A-6
B-18
C-24
D-36
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
a woman buys a pair of shoes at a sale.she pays $60,saving $15 on the regular price.The percentage discount on the shoe is
Help. Summer school math please.
Answer:
y = 3x
where y is the plant height in cm and x is the time in months
at 12 months, height would be 36 cm
Step-by-step explanation:
Here, we want to model the data
let’s call the months x and the height y
What do you notice?
we can clearly see that the height is always 3 times the month
3 * 3 = 9
5 * 3 = 15
7 * 3 = 21
9 * 3 = 27
so we can say that;
Time in months * 3 = Plant height in cm
using the x and y notation;
x * 3 = y
or simply y = 3x
Now the height at 12 months can be calculated by substituting the value of x for 12
y = 3 * 12 = 36 cm
When thrown upward at a velocity of 16 feet per second, the height f of
an object in feet at the end of t seconds is given by the formula f =-16t+16t?
After approximately how many seconds will an object reach a height of 32 feet?
5 seconds
2 seconds
3 seconds
None of the choices are correct.
Answer:
b) 2 seconds
t=2 seconds will an object reach a height of 32 feet
Step-by-step explanation:
Explanation:-
Given height f =-16t+16t² ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{df}{dt} = -16(t) +16(2t)[/tex]
Equating Zero
- 32 t + 16(2t) =0
- 16 t = -32
t = 2 seconds
Given height f =-16t+16t²
f = - 16 (2) +16(4) = -32 +64= 32feet
Conclusion:-
t=2 seconds will an object reach a height of 32 feet
URGENT Plz help
which of these triangles appear not to be congruent to any others shown here? Check all that apply.
A.Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F
[tex]answer = \\ triangle \: b \: and \: d \: does \: not \: seems \: to \\ be \: congruent \: to \: each \: other. \: \\ explanation \\ congruent \: triangles \: are \: those \: \\ which \: are \: exactly \: same \: copy \\ of \: each \: other.they \: have \: same \: side \\ lengths \: shape \: size \: and \: angles. \\ triangle \: a \: and \: e \: seems \: to \: be \: \\ congruent. \: triangle \: c \: and \: f \: seems \: \\ to \: be \: congruent.triangle \: b \: and \: d \: \\ doesnot \: match \: with \: any \: other \: triangles. \\ hope \: it \: helps[/tex]
Answer:
triangle b & d
(Apex)
Can someone please help me
Answer:
1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]
2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]
3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]
Step-by-step explanation:
ESTAS SON FRACCIPONES EQUIVALENTES
1. 3(35)/7 = 15 ENTONCES 15/35
2. 48(4)/3 = 64 ENTONCES 64/48
3. 56(3)/21 = 8 ENTONCES 3/8
Hi, you can get 15 points if you answer this...
Answer:
Si
Step-by-step explanatio:
Answer:
idk
Step-by-step explanation:
hi
Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?
Answer:12-9=3
Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9
Does the graph change between point A and point B
a) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Find the value of n.
n =
Answer:
n =3
Step-by-step explanation:
20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.
when simplified, you get 1:3
Answer:
1:30
Step-by-step explanation:
minutes : hour
20 : 1
convert the hour into minutes
1 hr = 60 minds
20 : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1 : 30
What is 3x^2-10x-8 fully factored?
Answer:7678
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the area of the following
rhombus:
5 cm
13 cm
12 cm
Answer:
Since the diagonals of a rhombus bisect each other, the diagonals are 5 * 2 = 10 and 12 * 2 = 24. To find the area of a rhombus we can divide the product of the diagonals by 2 which is 10 * 24 / 2 = 120 cm².
Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? reasoning Converse Deductive Inductive Indirect
Answer:
The correct option is;
Deductive
Step-by-step explanation:
Deductive reasoning or logic is the basic reasoning process that begins with a premise, hypothesis or general statement that is taken as being correct or true and continues with the consideration of the likelihoods or possibilities to come to a conclusion which is logically certain
In deductive reasoning a top to down reasoning approach is applied to link a premise with a conclusion.
If the slope if the line a is -4 and line a is perpendicular to line b. Which statement must be true?
Answer:1/4
Step-by-step explanation:
The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.
What does a small Mad tell you about a set of data?
Answer:
The numbers are closer to each other and the range will be smaller. The numbers will also be closer to the mean and median.
Step-by-step explanation:
Which line segment is correct for this answer to the question?
Answer:
Option (A). OB
Step-by-step explanation:
Angle bisector of any angle is a line segment that divides the angle into two equal parts.
From the given picture,
m∠MOB ≅ m∠NOB
(25 + 35)° ≅ (28 + 32)°
60° ≅ 60°
Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)
Option (A). will be the answer.
I need help pleaseeee
Answer:
8.4375
Step-by-step explanation:
multiply 2.5 times 2.25 times 1.5
lenght x width x height
C. 0.045
What is the length of line DE in the figure
bellow?
20cm
cm
13cm
D
21cm
9cm
racing car Covered
B. 16cm
D. 11cm
d:
Answer:
can you please give a correct question next time or please make the question clear for the answerer.
thank you
If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them.
Answer:
3/4
Step-by-step explanation:
Let the unknown number be x.
Subtract 1/2 from the unknown number: x - 1/2
Multiply the result by 1/2: 1/2(x - 1/2)
You get 1/8: 1/2(x - 1/2) = 1/8
Now we solve the equation for x.
1/2(x - 1/2) = 1/8
Multiply both sides by 2.
2 * 1/2(x - 1/2) = 2 * 1/8
x - 1/2 = 1/4
Multiply both sides by 4
4x - 4 * 1/2 = 4 * 1/4
4x - 2 = 1
Add 2 to both sides.
4x = 3
Divide both sides by 4.
x = 3/4
Answer: The number is 3/4.
The volume of a cuboid is 675cm3. The length is 15cm and the width is 30mm. Work out the height of the cuboid in cm.
Answer:
Step-by-step explanation:
30 mm = 3 cm
[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]
Answer:
h = 15 cm
Step-by-step explanation:
V = l×w×h
h = V/l×w
= 675cm³/15cm×3cm
= 675cm³/45cm²
= 15 cm
25.(01.05)
Given the point (5, 6) and the slope of 5, find y when x = 21. (1 point)
O 86
O 90
O 105
O 111
Step-by-step explanation:
This question gives us a point on a line and the slope of that line. So, the easiest way to answer this question is to use point-slope form, which is written as:
y-y₁ = m(x-x₁)
So, first of all, we are trying to find y (y, not y₁ which is the y-coordinate of the point we were given). We can go ahead and add y₁ to both sides to get:
y = m(x-x₁) + y₁
We can now simplify the equation to:
y = m·x - m·x₁ + y₁
Now we just input the given information.
m = 5 (slope)
x = 21
x₁ = 5
y₁ = 6
Now we have all the information we need and we can solve.
y = 5·21 - 5·5 + 6
y = 105 - 25 + 6
y = 86
So y, when x = 21, is equal to 86.
ABC and AED are straight lines. BE and CD are parallel. AC = 12.3cm AB = 8.2cm BE = 3.8cm a) Work out length CD. AD = 9.15cm
Answer:
15.33cm
Step-by-step explanation:
when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately it forms a right-angled triangle with sides AC and AD and hypotenuse CD.
Now, you may use Pythagoras theorem to solve:
AC^2 + AD^2 = CD^2
12.3^2 + 9.15^2 = CD^2
CD^2 = 235.0125
CD = square root of 235.0125 = 15.33cm
Hope this helps
Find (fg)(x) using long division for f(x)=2x3−12x2+7x−27 g(x)=2x2+5 The quotient is The remainder is
Answer:
f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)
Quotient = x - 6
Remainder = (2x+3)/(2x^2+5)
Step-by-step explanation:
Getting x-6:
What number multiplies with 2x²+5 to get 2x³+...?
that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.
Now what number multiplies with 2x²+5 to get -12x²+ ...?
that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....
Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.
Please help.. I don't understand.. Please show workings
[tex]answer \\ = £59.25 \\ please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps[/tex]
On a coordinate plane, a line goes through (negative 2, 1) and (0, negative 5) and another line goes through (0, negative 1) and (1, 0). Which of the following statements are true of the graphed system of equations? Check all that apply. The system has infinitely many solutions. A solution to the system is (–1, –2). A solution to the system is (0, –1). One of the equations is y = x –1. One of the equations is 3x + y = –5.
Answer:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Step-by-step explanation:
Just took the assignment
Answer:
2, 4, and 5
Step-by-step explanation:
Got it right
Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. The second costs $13 plus $5 per mile. For a certain driving distance, the two companies charge the same total fare. What is the distance?
Answer:
The distance is 8 miles.
Step-by-step explanation:
First, we need to write an equation for each of chauffeured car services.
The first one = 28 + 2x = ?
The second one = 13 + 5x = ?
Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.
I first plugged in 2 as x.
28 + 4 = 32
13 + 10 = 23
That didn't work, so I then plugged in 5.
28 + 10 = 38
13 + 25 = 38
So 5 would be the correct answer for what is the distance.