Answer:
58°C
Step-by-step explanation:
Heat absorbed by hot water + heat absorbed by cold water = 0
m₁C₁ΔT₁ + m₂C₂ΔT₂ = 0
(300 g) (4.184 J/g/K) (T − 90°C) + (200 g) (4.184 J/g/K) (T − 10°C) = 0
(300 g) (T − 90°C) + (200 g) (T − 10°C) = 0
(300 g) (T − 90°C) = -(200 g) (T − 10°C)
3 (T − 90°C) = -2 (T − 10°C)
3T − 270°C = -2T + 20°C
5T = 290°C
T = 58°C
Helppp!!!! please!!!
Answer:
A) 348 square m
Step-by-step explanation:
Surface area of the figure
[tex] = 2(15 \times 6 + 6 \times 4 + 15 \times 4) \\ = 2(90 + 24 + 60) \\ = 2 \times 174 \\ = 348 \: {m}^{2} \\ [/tex]
Which set of ordered pairs is not a function?
OA) (4, -2), (-2, 2), (2, -2), (4, 2)
OB, (-4, 2), (-2, 2), (2, 2), (4, 2)
OC) (-4, 2), (-2,-2), (2, 2), (4,2)
OD) (-4,-2), (-2,-2), (2, 2), (4,2)
Answer: OA) (4, -2), (-2, 2), (2, -2), (4, 2)
Step-by-step explanation:
Which statement and reason best complete the proof ?
Answer:
Option D
Step-by-step explanation:
Segment BD = Segment BD by reflexive property.
And that will also complete the congruence by AAS postulate.
Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPTION D None
Answer:
option b
Step-by-step explanation:
replace x and y with the x and y of the ordered pair
option a: 2(4)+4(5)=6(4)-5
solve
8+20=24-5
28=19 not true
option b:2(5)+4(4)=6(5)-4
solve
10+16=30-4
26=26 true
In the diagram below, DE is parallel to XY. What is the value of x?
Answer:
the value of x is
115°+y=180 (being linear pair)
y =180°-115°
therefore, the value of y is 65°.
now again x=y=65°(being corresponding angle)
so, the value of x is 65°.
hope u understood..
If fx=-4x2-3 please evaluate for f(8), listing the steps you take in order with their result. Find the inverse function f-1(x)
Answer:
A. -259
B. inverse function is 1/2 √(-x-3)
Step-by-step explanation:
Here, we want to find f(8)
Simply substitute x = 8 in the equation.
The equation is
f(x) = -4x^2 -3
So f(8) = -4(8)^2-3
f(8) = -256-3
f(8) = -259
Inverse of f(x) = -4x^2 -3
Simply equate this to m
m = -4x^2-3
-4x^2 = m + 3
x^2 = (m + 3)/-4
x^2 = -m/4 -3/4
x = √(-m-3)/4
x = 1/2√(-m-3)
Put back the value of x for m
x = 1/2 √(-x-3)
Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the statement that could be true for g.
Options
(A)g(5) = 12 (B)g(1) = -2 (C)g(2) = 4 (D)g(3) = 18Answer:
(D)g(3) = 18
Step-by-step explanation:
Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8
Then the following properties must hold
The value(s) of x must be between -1 and 4The values of g(x) must be between 0 and 18.g(-1)=2g(2)=9We consider the options and state why they are true or otherwise.
Option A: g(5)=12
The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.
Option B: g(1) = -2
The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.
Option C: g(2) = 4
The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.
Option D: g(3) = 18
This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.
Therefore, Option D could be true.
Answer: g(3) =18
Step-by-step explanation: thats probably all you need
A horizontal translation is used to move quadrilateral onto quadrilateral Z ′. Use the drop-down menus to describe the horizontal translation used.
Answer:
10 to the left I believe
Step-by-step explanation:
what is the slope of the line containing the points (-3,7) and (3,3)
Answer:
m = -2/3
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in our coordinates into the formula:
m = (3 - 7)/(3 + 3)
m = -4/6
m = -2/3
Answer:
-2/3
Step-by-step explanation:
In order to find the slope, we need to find the change in y over change in x
For y: 7-3=4
For x: -3-3=-6
4/-6
We can simplify it into 2/-3
Please help! Which table represents a linear function? (will give brainliest)
Answer:
The fourth one
Step-by-step explanation:
Only the first one x and y interval 1, 2. The rest aren't linear.
Answer:
Step-by-step explanation:
it is the fourth one
Required
1. A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?
30
60
80
50
Answer:
50
Step-by-step explanation:
d-nr of ducks
g- nr of goats
2*d+4*g=260
d+g=80 /*(-2)
2d+4g=260
-2d-2g=-160
------------------
2g=100
g=100/2
g=50
Answer:
50Option D is the correct option
Solution,
Let no.of ducks be X
Let no.of goats be y.
Total heads= X+y=80 ➡️ equation (i)
Total legs= 2x+4y=260➡️ equation (ii)
X= 80-y
[tex]2(80 - y) + 4y = 260 \\ or \: 160 - 2y + 4y = 260 \\ or \: 160 + 2y = 260 \\ or \: 2y = 260 - 160 \\ or \: 2y = 100 \\ or \: y = \frac{100}{2} \\ y = 50[/tex]
Number of goats= 50
Hope this helps...
Good luck on your assignment...
Explain how rays AB and AC from both a line and and angle.
Answer:
plz give brainliest
Step-by-step explanation:
Points A, B, and C lie on a line.
Point A is between points B and C.
Starting at point A and going past point B, you have ray AB.
Starting at point A and going past point C, you have ray AC.
If you think of angle BAC, it is a straight angle of 180 degrees.
You have the two rays AB and AC forming a line and an angle.
2. CHEMISTRY How many liters of 15% acid and
33% acid should be mixed to make 40 liters of 21%
acid solution?
Concentration
of Solution
Amount of
Solution (L)
Amount
of Acid
15%
33%
у
21%
40
Answer:
26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acidStep-by-step explanation:
Concentration Amount of Amount
of Solution Solution (L) of Acid
15% x 0.15x
33% y 0.33y
21% 40 0.21•40
x + y = 40 ⇒ x = 40 - y
0.15x + 0.33y = 0.21•40
0.15(40 - y) + 0.33y = 0.21•40
6 - 0.15y + 0.33y = 8.4
0.18y = 2.4
y = 13¹/₃
x = 40 - 13¹/₃ = 26²/₃
Can you add and subtract integers and surds together?
For example:
1. 2-2√6= √6
2. 25+ 5√5 + 5√5 +5= 40√5
or are the above examples wrong?
Answer:
Both of these examples are wrong. You cannot add/subtract integers and square roots together, however, you could add square roots together if they have the same number under the square root. For example, 2 - 2√6 will stay as 2 - 2√6 because they aren't like terms. 25 + 5√5 + 5√5 + 5 = 30 + 10√5 because 25 + 5 = 30 and 5√5 + 5√5 = 10√5. We can add 5√5 and 5√5 together because they have the same number under the square root. If we were to compute √2 + √3, we would just leave it as is because they don't have the same number under the square root.
help with the answer of this problem i do not understand how to do it
What is the area of triangle ABC?
3 square units
7 square units
11 square units
C 15 square units
Answer: 7 square units
Step-by-step explanation:
<!> Brainliest is appreciated! <!>
Which statement is true about the slope of the graphed line?
Answer:
the slope is 2/5
Step-by-step explanation:
you always do rise over run
(I am not sure what your choices are but I hope this helps:))
-AC<3
Answer: Slope is positive just took this
Step-by-step explanation:
what is: 1/1+a+b^-1 + 1/1+b+c^-1 + 1/1+c+a^-1 please write the steps and explain
Step-by-step explanation:
The expression:
[tex]\frac{1}{1+a} + b^{-1} + \frac{1}{1+b} + c^{-1} + \frac{1}{1+c} + a^{-1}[/tex]
It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.
The second case is more plausible, given there are no values given for a, b, and c.
The expression can be rewritten as:
[tex]a^{-1}+b^{-1}+c^{-1} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]
When a number has an index of -1, it is the same as taking the reciprocal of the number.
That is;
[tex]a^{-1} = \frac{1}{a}[/tex]
Therefore, the whole expression gives:
[tex]\frac{1}{a} + \frac{1}{b} + \frac{1}{c} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]
Taking the common denominator in the first three expressions, we have
[tex]\frac{a+b+c}{abc} + \frac{1}{1+a} +\frac{1}{1+b} + \frac{1}{1+c} \\[/tex]
It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.
The expression:
It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.
The second case is more plausible, given there are no values given for a, b, and c.
The expression can be rewritten as:
When a number has an index of -1, it is the same as taking the reciprocal of the number.
That is;
Therefore, the whole expression gives:
Taking the common denominator in the first three expressions, we have
It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.
A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?
Answer:
The growth rate is 7.2%
Step-by-step explanation:
First thing we need to do here is to set up an exponential equation;
This can be written as follows;
F = I(1 + r)^t
where F is the future value = 20,000
I is the initial value = 10,000
r is the rate in percent which we want to calculate
t is time in years = 10 years
Substituting the values in the question into the exponential equation, we have;
20,000 = 10,000(1 + r)^10
divide both side by 10,000
2 = (1+r)^10
Find the 10th root of both sides
1+ r = 2^(1/10)
1 + r = 1.07177346254
r = 1.07177346254-1 = 0.07177346253
Let’s approximate r as 0.072
Now this to percentage?
That would be 72/1000 * 100% = 7.2%
Which of the following describes the situation below? The number of miles a car can run depends on the gallons of gasoline in the tank.
Answer: A. A relation that is a function.
Step-by-step explanation:
A relation is said to be a function if each input value is associated with one unique output value.
Here, Number of miles run by car is directly proportional to the quantity of gasoline.
Independent variable - quantity of gasoline.
Dependent variable - Number of miles
On assuming the condition of car as good, the number of miles a car can run highly depends on the gallons of gasoline in the tank .
As quantity of gasoline increases number of miles driven would also increases.
i.e. Number of miles driven is a function with respect to quantity of gasoline.
Hence, the given line best describe as : A relation that is afunction.
the picture is the question
Answer:
-4 points
Step-by-step explanation:
Since each incorrect answer is worth the same amount of negative points, use the equation below.
3x = -12 DIvide both sides by 3
x = -4 points
HELP! PLEASE I NEED HELP
Hello there! :)
Answer:
y = -4x.
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):
[tex]m = \frac{0 - 4}{0 - (-1)}[/tex]
Simplify:
m = -4.
Therefore, the equation of this line in slope-intercept form (y = mx + b) is:
y = -4x.
Shown in the picture below are three concentric (having the same
center) circles. Let's name them small, larger and largest. You are
blindfolded and throwing a dart at the target. What is the probability
that the dart will hit the white area inside the circles? The white area
is formed by the small circle and by the area between the larger and
largest circles that looks like a ring. Assume that the dart you throw,
will hit somewhere inside the largest circle,
Enter your answer as a decimal.
Answer:
The probability that the dart will hit the white area is 16/25
Step-by-step explanation:
The given circle is composed of three concentric circles as follows;
Small circle with radius, r₁ = 1
Larger circle with radius, r₂ = 3
Largest circle with radius, r₃ = 5
The area of the small circle = π × r₁² = π
The area of the larger circle = π × r₂² = π × 3² = 9·π
The area of the largest circle = π × r₃² = π × 5² = 25·π = The total target area
The total white area = The total target area - The area of the larger circle
The total white area = 25·π - 9·π = 16·π
The probability of hitting the white area = 16·π/25·π = 16/25
Therefore, the probability that the dart will hit the white area = 16/25.
what is the domain of the function represented in this graph?
Answer:
i believe this answer is all numbers
Step-by-step explanation:
HOPE this helps....
Answer:
all real numbers
Step-by-step explanation:
The domain is all the possible x value
For this graph there is no restrictions to the x values
X is all real numbers
What is the approximate diameter of a sphere with a volume of 34 cm
Answer:
The diameter is 4cmStep-by-step explanation:
Volume of a sphere is
[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]
Where r is the radius
diameter = radius × 2
To find the diameter we must first find the radius
Volume = 34cm³
That's
[tex]34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm[/tex]
Diameter = 2 × 2cm
= 4cmHope this helps you
Answer:
The answer is 4
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using a reflection and a translation?
Answer:
Figure 1.
Step-by-step explanation:
The triangle pairs are missing, I researched and was able to find the triangle pairs attached to the question. I will attach the triangles, and in addition to that we will say the reasons that each one meets or does not meet with respect to the conditions of the question.
Only the first figure shows that the pairs of triangles can be mapped to each other using two reflections.
Here reflection can be done through the XY side followed by reflection through the YT side. So when we reflect the triangle XYZ through the XY side, we get the triangle XYT and then we reflect the triangle XYT through the YT side and we get the triangle PYT.
Answer:
Just here saying its not figure one it b the one above me is wrong sorry for the people who um listen to him like me
Step-by-step explanation:
The diagonal of a rectangular room is 52 ft long. One wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.
Answer:
The dimensions of the rectangular room is 48 ft by 20 ft
Step-by-step explanation:
Drawing a Diagonal line in a rectangle forms two right angle triangles
The diagonal line will represent the hypotenuse
In a right angle triangle:
Hypotenuse^2= adjacent^2+opposite^3
One wall measures 28 ft longer than the adjacent wall.
Let the adjacent=x ft
Opposite=28+x ft
Hypotenuse=52 ft
Hypotenuse^2= adjacent^2+opposite^3
52^2 = x^2 + (28+x)^2
2704 =x^2 + 784 + 56x + x^2
2704=2x^2+784+56x
2x^2+56x+784-2704=0
2x^2+56x-1920=0
Solve the quadratic equation using the quadratic formula
x= -b +or- √b^2-4ac / 2a
a=2
b=56
c=-1920
x= -b +or- √b^2-4ac / 2a
= -56 +or- √56^2 - (4)(2)(-1920) / (2)(2)
= -56 +or- √3136 - (-15,360) / 4
= -56 +or- √3136+15,360) / 4
= -56 +or - √ 18496/ 4
= -56 +or- 136 / 4
x= -56 + 136 / 4
=- 56/4 + 136/4
= -14+34
=20
OR
x= -56 - 136/4
= -56/4 - 136/4
= -14 - 34
= -48
The value of x can't be negative, so will use the positive value of x which is 20
Recall,
Adjacent=x
=20 ft
Opposite=28+x ft
=28+20
=48 ft
The dimensions of the rectangular room is 48 ft by 20 ft
What is the quotient? 36 divided by 6 –30 –6 6 30
[tex]\text{In this question, we're trying to find the quotient}\\\\\text{The quotient is basically the result or answer when you divide a number}\\\\\text{To find the quotient, divide 36 by 6}\\\\36\div6=6\\\\\boxed{\text{Answer: 6}}[/tex]
Answer:
6
Step-by-step explanation:
6x6=36 so, 36÷6=6
Match the solution set given in inequality notation with the solution set given in interval notation.
Answer:
x≤7.8 ⇒(-∞;7.8]
x<7.8 ⇒ (-∞;7.8)
x>7.8 ⇒ (7.8; ∞)
x≥7.8 ⇒ [7.8; ∞)
Step-by-step explanation:
Hi, to answer this question we have to analyze each expression:
• x≤7.8
The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets
(-∞;7.8]
• x<7.8
All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)
(-∞;7.8)
• x>7.8
All the numbers higher than 7.8, open interval (parenthesis)
(7.8; ∞)
• x≥7.8
All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)
[7.8; ∞)
Answer:
Step-by-step explanation:
plzzzz help asap!!! marking brainiest!!!
Answer:
see below
Step-by-step explanation:
3 ^ ( 6/5)
The base a is 3
The power is 6 which is b
the root is 5 which is c
[tex]\sqrt[5]{3^6}[/tex]