Answer:
<7 = 95
Step-by-step explanation:
<2 and <7 are alternate interior angles
a and b are parallel lines so
<2 = <7
<7 = 95
Answer:
95°
Step-by-step explanation:
∠2=∠6 [∴ corresponding angles]
∠6=∠7 [∴ vertical opposite angles]
From above equations:
∠2=7= 95°
a bus can take 20 girls at a time to school. the bus mahes 4 trips to take x number of girls to school. find x
Answer:
Step-by-step explanation:
x = 20 * 4
x = 20 + 20 + 20 + 20
x = 80
Answer:
80
Step-by-step explanation: No. of girls, a bus can take at a time = 20
No. of girls, a bus can take 4 times = 20*4
= 80
Determine whether the series is convergent or divergent. 1
2
+
3
4
+
1
8
+
3
16
+
1
32
+
3
64
+
To determine the convergence or divergence of a series, we need to analyze the behavior of its terms. In this case, the series consists of a sequence of numbers: 12, 34, 18, 316, 132, 364, and so on.
Looking at the terms of the series, we can observe that there is no clear pattern or trend in their values. The terms do not approach a specific value as we go further into the series. Instead, the terms seem to be randomly increasing and decreasing.
A convergent series is one where the terms approach a specific value as the number of terms increases, while a divergent series is one where the terms do not approach a specific value.
Since the terms in the given series do not exhibit any clear pattern or convergence, and there is no specific value that the terms are approaching, we can conclude that the series is divergent.
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A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,000. The anticipated profit for the end of the fourth year is $68,200. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. a. Write a linear function P(x) that expresses profit as a function of time. P(x)=
Answer:
P(x) = 35,900 + 2,800(x-1)
Step-by-step explanation:
P(x)
P(1) = $35,900
P(4) = $44,300
Difference in profits
P(4) - P(1)
= P(3)
= $44,300 - $35,900
= $8,400
Rate of change per year = $8,400 / 3
= $2,800 per year
The linear equation
P(x) = 35,900 + 2,800(x-1)
Where
x = number of years
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
O’Barr charges $25 for customized shirts and $15 for customized mugs. It cost $80 to make x shirts and y mugs. Which equation represents this situation?
25x + 15y = 80
40yx = 80
15x + 25y = 80
15x + 80y = 25
Answer:
25x + 15y =18
Step-by-step explanation:
that is the answer cause x goes with shirts and y with mug and lastly 80 is the total
What is the slope of the line represented by this equation?
-3X+ 8y = 12
The slope of the equation - 3 x+ 8 y = 12 is 0.375.
We are given an equation of the line:
- 3 x+ 8 y = 12
We need to find the slope of the equation.
x intercept:
- 3 x = 12
x = -4
Point 1 = ( - 4 , 0 )
y intercept:
8 y = 12
y = 1.5
Point 2 = ( 0 , 1.5 )
Slope = (y₂ - y₁) / (x₂ - x₁)
Substituting the values, we get that:
m = ( 1.5 - 0 ) / ( 0 - [-4])
m = 1.5 / 4
m = 0.375
Therefore, we get that, the slope of the equation - 3 x+ 8 y = 12 is 0.375.
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12. If a +
If a + 1 = 3, find the value
3, find the value of a? +
the
Answer:
a=2
Step-by-step explanation:
the answer to your question is 2
Using the Pythagorean Theorem, find the distance between the points.
Answer:
(5,7,8.6)
Step-by-step explanation:
Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c
what is the missing side length in the triangle below
Please give me step-by-step explanation please :’))
Answer:
45
Step-by-step explanation:
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A.M. the temperature of the tea is 197°F. At 7:15 A.M. the temperature of the tea is 180°F. Alicia will drink the tea when its temperature is 172°F.
Part A
Which of the following shows an exponential cooling equation that models the temperature of the tea?
A. y = 72(0.989)x + 128
B. y = 128(0.989)x + 72
C. y = 200(0.989)x + 72
D. y = 128(0.989)x + 200
Part B
When can Ella drink the tea?
Ella can drink the tea after
7:22
7:18
Answer: A) Option B
B) 22.3 minutes.
Step-by-step explanation:
The temperature decreases in an exponential decrease, this means that we can write the equation as:
T(x) = A*r^x + B
Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)
We know that the initial temperature
A = 200° - 72° = 128°
B = 72°
T(x) = 128°r^x + 72°
The only option with those two values is option B.
T(x) = 128(0.989)^x + 72
We should check that when x = 2m, the temperature must be 197°
T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)
So this equation is correct
Now we want to find the time such the temperature is 172°F
then:
172° = 128°(0.989)^x + 72°
100° = 128°(0.989)^x
100/128 = (0.989)^x
x = ln(100/128)/ln(0.989) = 22.3 minutes.
Let's check in our equation:
T(22.3) = 128°(0.989)^22.3 + 72 = 172°
46. A sphere shaped bowl has a radius of 5.5 inches How much water can the bowl hold? Round to the nearest tenth.
Answer:
try 17.89 cm..then 18 for answer
2x + -3 = -23
what is the value of x ?
Answer:
The value of X is -10
Step-by-step explanation:
Answer:the value is -10
Graph the inequality 4x+3y<2
Answer:
Check the image below the explanation.
Step-by-step explanation:
y-intercept is 2/3slope is negative, so the line is going downsince this is a < or > instead of a ≤ or ≥, we use a dashed lineWhich of the following quantities is equal to the energy per second generated by fusion in the Sun's core? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. а the temperature at the Sun's photosphere. b the luminosity of the Sun's photosphere. с the temperature of the Sun's core. d the force of gravity holding the Sun together.
The quantity that is equal to the energy per second generated by fusion in the Sun's core is the temperature of the Sun's core. Therefore, the correct option is C.
The fusion reactions that occur in the core of the Sun release energy in the form of radiation and heat, and this energy is transported outwards towards the photosphere. The temperature of the core is directly related to the rate of fusion reactions and the amount of energy generated.
The luminosity of the photosphere (option b) and the force of gravity holding the Sun together (option d) are important factors in understanding the overall behavior of the Sun, but they are not directly related to the energy generated by fusion in the core. The temperature at the photosphere (option a) is also not directly related to the energy generated by fusion in the core, although it is a measure of the temperature of the outer layers of the Sun where visible light is emitted. Hence, the correct answer is option C.
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please help !! Select the correct answer.
What is the circumference of this circle?
Answer:
D
Step-by-step explanation:
To find circumference, it's 2(pi)r
Twice the radius is the diameter, so it's 10/2 = 5
2*3.14*5
Since you don't multiply pi, it's 10(pi)
Answer:
D. 10π
Step-by-step explanation:
C= 2πr
r being the radius of the circle
r= d/2
= 10/2 = 5
. C= 2πr
C= 2×π×r
= 2×π×5
= 10π
Do either 23, 24, or 26 please you can do one of those please
Answer 23:
Lina would pay $19,600 in the four years.
Step-by-step explanation:
To find the answer of this problem, you'll first have to find how much she payed in interest.
To find the interest:
\(\frac{14,000}{x}\)=\(\frac{4}{100}\) (Cross Multiply)
or if you like the equation version: x=.04($14,000) = $5,600
Great! Now you've gotten the interest she has to pay. Now that you have that, add the interest and the total she borrowed from the bank.
$14,000 + $5,600 = $19,600
There you go, and that is you find the answer to Problem 23.
on the coloring sheet, find a ratio that is equivalent to 4/11
The equivalent ratio to 4/11 is 12 : 33
The equivalent ratio is what?Two ratios are considered to be equivalent when we compare them.
Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.
It is possible to compare two or more ratios to one another to see if they are equal.
The ratios 1:2 and 2:4 are two examples of equivalent ratios.
In this case, multiplying 4 by 3 and 11 by 3 yields the answer 12: 33, which is the same as 4: 11.
As a result, we may state that 12: 33 is the comparable ratio to 4/11.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
-1.6
Step-by-step explanation:
\(-4.4y = 7.04\)
\(+4.4\)
___________
\(y = 11.44\), is the answer.
If you have any further questions, please reach out to me :)
67 oz = ———- lb ————— oz. a. 3 lb, 13 oz. b. 3 lb, 3 oz. c. 4 lb, 3 oz. d. 4 lb, 13 oz.
Answer:
Well there are 16 oz in every pound soooo the answer would be
4 pounds 3 ounces
Step-by-step explanation:
make x the subject:
a) y= a-x
b) y=a/x
c) y=x/a
d) y= ax+b
e) y=abx
Answer:
a) x= -y+a
b) x= a/y
c) x= at
d) x= y+b
a
e) x= y
ab
13+14=3×f;f=9 helppp
Answer: 3x=13+14
3x=27
x=27/3
x=9
Step-by-step explanation: Maybe.
PLEASE HELP!!!!
What is the average between 0.0, 1.2, 2.8, 4.2, 16.34
Answer:
4.904
Step-by-step explanation:
To find this, add all of the numbers up then divide by however many numbers there is
All numbers equal 24.52 the divide by 5
pls help pls help.
Answer:
D
Step-by-step explanation:
y=mx+b
y=2/3x +3
y = y coordinate
m = slope
x = x coordinate
b = y intercept
Answer:
D
Step-by-step explanation:
Hope this helps!!
The graph shows the height of a football after being thrown. Use the graph to estimate the x- and y-intercepts of the function, where the function is positive and negative, and interpret the meanings in the context of the situation.
From the graphed function, it is found that:
The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.The function is always positive, which means that the ball is in the air for 6 seconds.The graph shows that the function is never negative.What are the intercepts of a function f(x)?The x-intercept of a function f(x) is the value of x when the f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function f(x) is the value of y when the x = 0, that is, the value of y when the function crosses the y-axis.From this graph, it is found that:
The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.Hence:
The function is always positive, which means that the ball is in the air for 6 seconds.The graph shows that the function is never negative.More can be learned about functions at https://brainly.com/question/24808124
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A regular hexagon is inscribed in a circle of radius 2 units. In square units, what is the area of the hexagon
The area of inscribed regular hexagon is 6\(\sqrt{3\\\) unit square using the properties of equilateral triangles which combined, form the hexagon.
In a circle, a regular hexagon can be inscribed with all the six vertices of hexagon touching the circumference of the circle. The center of the circle is the center of the hexagon itself.
Now, if we join the center with all the vertices of the hexagon, we see six equilateral triangles are formed. The other two sides of each triangle apart from the ones joining the vertices of hexagon, are radii of the circle and all the sides are equal in length. The attached image can be referred for better understanding.
To find the area of the hexagon, we need to find the area of single equilateral triangle and multiply it by 6, as six triangles make a regular hexagon.
Radius of the circle (\(r\)) = 2 units
Area of a single equilateral triangle = \(\sqrt{3} /4\) \(r^{2}\)
=( \(\sqrt{3} /4\) ) × \(2^{2}\)
= \(\sqrt{3}\)
Area of hexagon = Area of 6 equilateral triangles = 6 × \(\sqrt{3}\)
Area of hexagon = \(6\sqrt{3}\) \(units^{2}\)
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Write an inequality for the given scenario.
For safety, all dogs at a dog park who weigh, w, more than 50 pounds must play in Area 2.
Answer: w > 50
This is because we are focusing on weights (w) that are larger than 50
We won't have an "or equal to" as part of this.
An inequality for the given scenario is;
⇒ w > 50
Here,
The given scenario is;
For safety, all dogs at a dog park who weigh, w, more than 50 pounds must play in Area 2.
We have to find the inequality.
What is Inequality?
An inequality compares two values, showing if one is less than, greater than.
Now,
Weight of all dogs = w
And, Weight of all dogs w is more than 50 pounds.
Hence, An inequality for the given scenario is;
⇒ w > 50
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The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is
The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.
What is probability?The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.
P(A|B) = P(A and B) / P(B)
P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)
= (3/9) x (4/10) + (2/9) x (4/10) = 14/90
To find P(B), we know that it is 0.4.
Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:
P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39
So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.
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aghwhelrrotiuugggdddd
Solution
We have the following info:
Grades Credits
B 2
B 5
B 5
C 2
And we know that A= 4, B= 3, C=2
So we can do this:
\(\operatorname{mean}=\frac{3\cdot2+3\cdot5+3\cdot5+2\cdot2}{2+5+5+2}=2.86\)then the weighted average is 2.86
What would be the null hypothesis for testing a linear regression model with profit as the dependent variable and sales as the independent variable?.
The alternative hypothesis would be that the slope coefficient is not equal to zero, indicating that there is a linear relationship between sales and profit.
The null hypothesis for testing a linear regression model with profit as the dependent variable and sales as the independent variable is that the slope coefficient is equal to zero.
The null hypothesis for a linear regression model is usually stated as:
H0: β1=0, where β1 is the slope coefficient of the independent variable in the model.
In this case, the independent variable is sales, and the dependent variable is profit.
Therefore, the null hypothesis would be that the slope coefficient of sales (β1) is zero, indicating that there is no linear relationship between sales and profit.
The alternative hypothesis would be that the slope coefficient is not equal to zero, indicating that there is a linear relationship between sales and profit.
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Together a refrigerator and a desk cost $216. Find the price of each if the refrigerator costs three times as much as the desk
Refrigerator 162$ and desk cost 54
Step-by-step explanation:
Cost of refrigerator and desk =$2163x+x=2164x=216x=216/4x=54now, Cost of refrigerator = 3x = 3*54 = 162A pattern is emerging... the general term is
Plugging in we get, (a) Do the same thing for the recurrence T(n) = 3T(n/2) + O(n). What is the general term in this case? And what value of k should be plugged in to get the answer?
(b) Now try the recurrence , a case which is not covered by the master theorem. Can you solve this too?
The general term for the recurrence T(n) = 3T(n/2) + O(n) is O(nlog3). To get the answer, we should plug in k = log3. For the second recurrence, we cannot use the master theorem since it does not cover this case.
To solve this recurrence, we have to use the substitution method, where we guess a solution of the form T(n) = an^k and then prove that this is indeed a solution. This can be done by substituting the guessed solution back in to the recurrence. If the substitution works, then we have solved the recurrence. If not, we can try different values for a and k until the substitution works.
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