Answer:
H
Step-by-step explanation:
When h=0,t=45.
so we can exclude F.
When h=10,t=15.
only H satisfiy the condition.
Answer:
H
The line shows an inverse proportionality between temperature and time:
[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]
Slope or change:
[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]
y-intercept:
[tex]c = 45[/tex]
General equation:
[tex]y = - 3x + 45[/tex]
The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Answer:
Perimeter, P = 112 meters
Step-by-step explanation:
Let the length of the rectangle be L.Let the width of the rectangle be W.Translating the word problem into an algebraic expression, we have;
L = 6W ...... equation 1
Given the following data;
Area of rectangle = 384 m²To find the perimeter of the rectangle;
First of all, we would determine the dimensions of the rectangle using its area.
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = LW ..... equation 2
Substituting eqn 1 into eqn 2, we have;
384 = 6W(W)
384 = 6W²
Dividing both sides by 6, we have;
W² = 384/6
W² = 64
Taking the square root of both sides, we have;
W = √64
Width, W = 8 meters
Next, we would find the length;
L = 6W
L = 6 * 8
Length, L = 48 meters
Lastly, we would determine the perimeter of the rectangle using the above dimensions;
Mathematically, the perimeter of a rectangle is given by the formula;
Perimeter = 2(L + W)
Substituting the values into the formula, we have;
Perimeter, P = 2(48 + 8)
Perimeter, P = 2(56)
Perimeter, P = 112 meters
Which of the following is a correct sine ratio for the figure? Question 20 options: A) C = 5∕12 B) C = 5∕13 C) C = 12∕13 D) C = 13∕12
Answer:
B
Step-by-step explanation:
Sine is opposite/hypotenuse. Sine C would be 5/13 so option B is correct.
One number is six times another number. Their difference is 35. Whàt are the two numbers?
Answer:
7 and 42
Step-by-step explanation:
The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
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Which expression is equivalent to 4x +4y
Answer:
C. 4(x + y)
Step-by-step explanation:
Use the distributive property.
4(x + y) = 4x + 4y
Answer:
C. 4(x + y)
Step-by-step explanation:
If you multiply this answer out (4 times x and 4 times y) it is the equivalent to 4x + 4y.
{(3,1),(-2,-1),(-3,2)}
Domain:
Range:
Answer:
Domain { -3,-2,3}
Range{ -1,1,2}
Step-by-step explanation:
The domain is the input
Domain { -3,-2,3}
The range is the output
Range{ -1,1,2}
Find the length of the missing side:
Answer:
x = 15.8
Hope this helps...Have a good day!!
A gray crayon is made with 5 mL of black wax for every 6 mL of white wax
Which of the following wax mixtures will create the same shade of gray?
choose 2 answers:
A 10 mL of black wax mixed with 24 mL of white wax
B 15 mL of black wax mixed with 18 mL of white wax
C 35 mL, of black wax mixed with 42 mL of white wax
D 20 mL of black wax mixed with 26 mL of white wax
E 45 mL of black wax mixed with 48 mL of white wax
Answer:
B and C
Step-by-step explanation:
The ratio of black to white is 5:6
The only mixtures that have this ratio is B and C
E
Homework: 1-7 HW
Simplify the expression.
8(5+t) - 2(t+1)
8(5 + t) - 2(t+1)=
Hi, I'm happy to help!
To simplify this expression, we need to first use the order of operations (Parenthesis, Exponents, Multiplication or Division (Left to Right), and Addition or Subtraction (Left to Right)), then combine like terms. (80,40,57, or 6t, 8t, 98t, or 2t²,7t²,83t²)
When a number is next to parenthesis with no sign, it means we are using multiplication. We can change this expression to look like this, by changing all the numbers next to the parenthesis with no sign, to one with a multiplication sign.
8(5+t) - 2(t+1) 8(5 + t) - 2(t+1)=
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
We start with parenthesis and solve everything inside of those, but, because everything inside the parenthesis are unlike terms, we cannot combine them.
Next, We look for any exponents (x²). There are none in this equation.
We then look for multiplication or division. There is a lot of multiplication, so we start solving that from left to right.
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
Now, before we do anything else, we need to recheck the parenthesis, now that they have changed. We can further simplify the middle parenthesis by adding together like terms.
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - ((80t+16t)+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
Now, we look for addition or subtraction of like terms. We can now remove the parenthesis, since everything inside of the last two parenthesis is negative, we turn it negative, as long as we only combine the like terms.
40+8t - 96t-16t²-80 - 2t-2=
Once we find like terms, we can rearrange the expression.
(40-80-2)+8t - 96t+16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+(8t-96t-2t)-16t²
(-42)+(-90t)-16t²
(-42)+(-90t)-16t²
This doesn't have any like terms, so we don't alter it.
(122)+(-90t)-16t²
We can now remove the parenthesis.
122-90t-16t²
Since there are no more like terms this is the furthest we can simplify. We can then rearrange the expression to be arranged completely correct.
-16t²-90t-42
I hope this was helpful, keep learning! :D
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.
Angela works a basic week of 40 hours and her hourly rate of pay is $12.50. Calculate her weekly wage.
Answer:
$500
Step-by-step explanation:
Answer:$500
Step-by-step explanation:
To calculate the weekly wage, take the hourly rate and multiply it by the number of hours worked. For this question it would be:
$12.50 x 40
=$500
That is your weekly wage
Hope this helped! <3
100 points for you if you help me
Answer:
see below
Step-by-step explanation:
It is given that m<A +m<B = m<B + m<C. We can subtract angle B from each side using the subtraction property of equality. That leaves m<A = m<C We can use the symmetric property so that m<C = m<A
Answer:
[tex]thank \: you[/tex]
Tutorial
Emmy already owns 22 hair bands, and additional hair bands are priced at 1 for a dollar.
How much money does Emmy need to spend on new hair bands in order to own a total of
38 hair bands?
Answer:
16
Step-by-step explanation:
38-22=16
(4y¹²) (3y)
Please help me
2 plus 2 is 22???????
Answer:
NO
Step-by-step explanation:
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
Quesdon 8 of 10
Which of the following is a polynomial?
Answer:
B
Step-by-step explanation:
It has two or more terms.
When f(x)=4, what is the value of x?
O zero
O 2
O 3
O4
Answer:
x = 2
Step-by-step explanation:
f(x) is the range and values of x the domain
When f(x) = 4 the corresponding value of x in the domain is x = 2
Answer:
2
Step-by-step explanation:
this might not be the best explanation but this is how I thought of it.
f(0)=4? any number multiplied by zero equals zero so it is not the first answer.
f(2)=4? if f were to be 2, then 2*2 can equal 4 so this is a pretty good answer.
f(3)=4? there isn't a whole number you can multiply with 3 that will make 4 so this is not the answer.
f(4)=4? if f were to be 1 then this could be a possible answer.
so we know that it is either the 2nd or 4th answer. look at the table. if you look, 2 forms into 4 (because they multiplied 2 by 2). but 4 doesn't remain at 4 (because they did not multiply it by 1). so we know the answer is 2.
Consider function f. (-412 + 6.3 + 36, 1 < -2 15, 2 < I 4 Are the statements about the graph of function ftrue or false? true false 2 false The graph crosses the y-axis at (0.–15). The graph has a point of discontinuity at I = The graph is increasing over the interval (4, co) The graph is decreasing over the interval (-12, -2). false The domain of the function is all real numbers. false
Please help
Answer:
Behold.
Step-by-step explanation
The answer to the statement is 1)false 2) false 3) true 4) true and 5) false.
Given functions,f
1) For x ≤ -2: f(x) = -12 + 6x
2) For -2 < x < 1: f(x) = 41 - 15x
3) For x ≥ 1: f(x) = 31 - 4x
1) The graph crosses the y-axis at (0, -15).
This is false because if x = 0, the function value would be -12 + 6 * 0 = -12, not -15.
2) The graph has a point of discontinuity at x = 1.
This is false because the function is defined at x = 1 there is no space, so there is no point of discontinuity at x = 1.
3) The graph is increasing over the interval (4, ∞).
This is true because the coefficient of x in the function's expression is negative, showing that it is decreasing. Therefore, as x increases, the function values decrease.
4) The graph is decreasing over the interval (-12, -2).
This is true because the coefficient of x in the first piece of the function (-12 + 6x) is positive, showing an increasing trend. Therefore, as x decreases from -12 to -2, the function values increase.
Statement 5: The domain of the function is all real numbers.
This is false because the domain of the function is limited by the intervals in its definition. The function is defined differently for different intervals of x.
So, the answer to the statement is
1) false
2) false
3) true
4) true
5) false
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In algebraic expression
The sum of a number and six, divided by eight.
Answer:
x + 6 / 8
Step-by-step explanation:
The sum of a number is the answer to addition. So that means an unknown number and 6 are being added together. Lets make this unknown number x.
x + 6
The sum of this is being divided by 8. Since we already know what division is, we can just add the line and 8.
x + 6 / 8
Simplify the following equation
4−8÷2+3
Hi there!
»»————- ★ ————-««
I believe your answer is:
3
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
b) The area of 4-walls and ceiling of a room is 118 m². If the room is 6 m long and 4 m high, find the breadth of the room.
Step-by-step explanation:
you can check the answer by putting 5 on the place of B... you will get the lateral surface area
118 m²...
hope it helps
If x-2y=6 and x+y=10.Find 2x+2y.
Answer:
20
Step-by-step explanation:
x-2y=6 and x+y=10
Multiply the second equation by 2
2x+2y = 20
rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour
The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
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Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
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75.072 divided by 9.6
Answer:
7.82
Step-by-step explanation:
I solved it
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
HELP ILL HIVE BRAINLIEST
Answer:
I cannot read it
Step-by-step explanation:
Step-by-step explanation:
the answer should be the first option bcos
when we use the table of values
let's just assume the values of x to be 0,1,2and3
so when x= 0
using the given formula y=2x-3
we get
y= 2(0)-3
=0-3
= -3
so we have x=0,y=-3
we do the same for the rest of the values
y=2(1)-3=2-3 =-1
y=2(2)-3=4-3= 1
and on the gragh this gives a straight line
where the values of y are -3,-1,1
and x are 0,1,2
Point A is located at (1,5), and point M is located at (-1, 6). If point M is the midpoint of AB, find the location of point B.
0 (-3,7)
O (0,5.5)
O (3, 4)
O (0,5)
Answer:
(-3,7)
Step-by-step explanation:
point M is 4 left, 2 up from point A. if we go 4 left, 2 up again from point M (-1,6), we get (-3, 7). that is how you get (-3, 7). if we draw a line from B(-3, 7) to A(1, 5), point M is in the middle. please correct me if im wrong, I hope this answer helps.
The location of point B is (-3,7).
What is the midpoint of a straight line?The midpoint of a straight line is that certain point that divides the straight line to equal two parts. If A(x1,y1) and B(x2,y2) be the two terminal points of a straight line, the midpoint will be ((x1+x2)/2,(y1+y2)/2).
How to find the midpoint of a straight line?Point A located at (1,5) and M is located at (-1,6).
M is the midpoint of AB.
Let, the co-ordinate of B is (x,y)
Hence, (1+x)/2 = -1
x = -3
and (5+y)/2=6
y=7
The location of point B is (-3,7)
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URGENT HELP PLS AND THANK U
Answer: a= 1
Step-by-step explanation:
a * b = b
Divide by “b” on both sides
a= b/b
“b/b” is equal to 1
a=1
Hope that helps
Lmk if you need a better explanation.
A rectangle has a length of 8ft and a width of 9ft. What is the area of the rectangle, in ft^2?
Answer:
72ft
Step-by-step explanation:
A=wl=9·8=72ft²