Answer:
10 and 19
Step-by-step explanation:
In Algebra, an even number = 2x, because anything multiplied by 2 is even.There are two numbers in the question, I'll define the first one as 2xthe other number is 1 less than twice of the first, so I'm going to define it in algebra as 2(2x) - 1, which is just 4x - 1the square of the first is [tex]4x^2[/tex]the square of the second is [tex]16x^2-8x+1[/tex]add them together: [tex]20x^2-8x+1[/tex]this equation = 461, so [tex]20x^2-8x+1 = 461[/tex]simplify to [tex]20x^2-8x-460 = 0[/tex]I wont explain how to solve this here, since it is very complicated, if you don't know search up solving quadratics.the solutions are 5 or -4.6, it cannot be -4.6 since the question says positive, so the solution for x = 5substitute x into our equations for the two numbers in steps 1 and 2the first number = 10, the second = 1950 points each question. Please help. How do I solve?
Answer:
[tex]\dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)[/tex]
or written in rational form:
[tex]\dfrac{dy}{dx}=\dfrac{-4xy-y}{x}[/tex]
Step-by-step explanation:
[tex]\ln(xy)+4x=45[/tex]
[tex]\textsf{Apply the product log law}\quad\ln(ab)=\ln(a)+\ln(b):[/tex]
[tex]\implies \ln(x)+\ln(y)+4x=45[/tex]
[tex]\textsf{Add}\:\dfrac{d}{dx}\:\textsf{in front of each term}:[/tex]
[tex]\implies \dfrac{d}{dx}\ln(x)+\dfrac{d}{dx}\ln(y)+\dfrac{d}{dx}4x=\dfrac{d}{dx}45[/tex]
[tex]\textsf{Differentiate the}\: x \: \textsf{terms and constant terms first}:[/tex]
[tex]\implies \dfrac{1}{x}+\dfrac{d}{dx}\ln(y)+4=0[/tex]
[tex]\textsf{When differentiating with respect to}\:y,\: \textsf{differentiate and add}\: \dfrac{dy}{dx}:[/tex]
[tex]\implies \dfrac{1}{x}+\dfrac{1}{y}\dfrac{dy}{dx}+4=0[/tex]
[tex]\textsf{Rearrange to make}\:\dfrac{dy}{dx}\:\textsf{the subject}:[/tex]
[tex]\implies \dfrac{1}{y}\dfrac{dy}{dx}=-4-\dfrac{1}{x}[/tex]
[tex]\implies \dfrac{dy}{dx}=y\left(-4-\dfrac{1}{x}\right)[/tex]
[tex]\implies \dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)[/tex]
If you want it in rational form, then:
[tex]\implies \dfrac{dy}{dx}=-4y-\dfrac{y}{x}[/tex]
[tex]\implies \dfrac{dy}{dx}=\dfrac{-4xy-y}{x}[/tex]
[tex]~~~~~\ln(xy) +4x = 45\\\\\\\implies \dfrac{d}{dx} \left[\ln(xy) +4x \right] = \dfrac{d}{dx} ( 45)\\\\\\\implies \dfrac{1}{xy} \cdot \dfrac{d}{dx} (xy) + 4 = 0\\\\\\\implies \dfrac 1{xy} \left( x\dfrac{dy}{dx} + y \right) +4 =0\\\\\\\implies x\dfrac{dy}{dx} + y + 4xy=0\\\\\\\implies x \dfrac{dy}{dx} =-y-4xy\\\\\\\implies \dfrac{dy}{dx} = \dfrac{-y-4xy}x[/tex]
Question
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
m² + 5m.
Answer:
m^2+5m+25/4
perfect square trinomial^^
The graph of g(x) = f(x + 2) + 3 is the graph of y = f(x) shifted
Answer:
The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.
Step-by-step explanation:
Find the area of the circle.
Use 3.14 for π.
d = 10 cm
A = [?] cm²
A=TCr2
Answer:
78.5
Step-by-step explanation:
The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.
A= 3.12 x 5^2
A= 78.5
The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
Answer:
533.3mph
Step-by-step explanation:
Change the following fraction to a mixed number with the fraction part reduced to lowest terms. 83/42
Answer:
1 [tex]\frac{41}{42}[/tex]
Step-by-step explanation:
[tex]\frac{83}{42}[/tex] = 83 ÷ 42 = 1 remainder 41 , then
[tex]\frac{83}{42}[/tex] = 1 [tex]\frac{41}{42}[/tex]
What is the radius of a sphere with a volume of 320 ft 3 , to the nearest tenth of a foot?
Answer:
A=10240033.0/pift /ft
Step-by-step explanation:
Calculate the area of circle:
Round the number: A=10240033.0/pift /ft
Answer: A=10240033.0/pift /ft
The radius of the sphere is 4.2 feet.
What is a Sphere?A sphere is a geometrical shape in three dimension which has every point on the surface of it at an equal distance from a common point called the center of the sphere.
Volume of a sphere is given by the equation,
Volume = [tex]\frac{4}{3}[/tex]πr³, where r is the radius.
We have volume of the given sphere = 320 feet³
Substituting this value in the main equation, we get,
320 = [tex]\frac{4}{3}[/tex]πr³
320 × 3 = 4πr³
960 / 4π = r³
960 / (4 × 3.14) = r³
r³ = 76.43
r = 4.24 ≈ 4.2
Hence, the radius of the sphere with a volume of 320 feet³ has a radius of 4.2 feet, to the nearest tenth of a foot.
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PLSSSS HELPPPPPPPPPPPPPPPPPP
Answer:
[tex]\huge\boxed{\sf Option \ 1}[/tex]
Step-by-step explanation:
People surveyed = 42
People who approved = 25
So, the sample is:
25 residents who approve.
And population:
42 residents surveyed.
[tex]\rule[225]{225}{2}[/tex]
On Saturday, the fruit and juice bar was selling 21 glasses of fruit punch an hour. By 4 p.m., they had sold 126 glasses. If their goal was to sell more than 252 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.
A.
h > 12
B.
h > 8
C.
h > 6
D.
h > 14
Answer:
option C, 6
Step-by-step explanation:
If we subtract 252 - 126
we get 126 then divide by 21 to get 6.
therefore 6 hours
edit: If you liked my answer Brainlist Please.
Pls help me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
Answer:
B. Every 5 minutes 11 ft. traveled
2.2ft.= every 1 minute
C. Steeper. this is because her rate of change is much higher than before
Ms. King wants to add a triangular deck in
the yard behind her house. Each side is to be
18 feet long. Find the length of the railing
that will fit completely around the deck.
Then find the area of the deck.
The length of the railing that will fit completely around the deck is 54 feet. The area of the triangular deck is approximately 164.25 square feet.
To find the length of the railing that will fit completely around the triangular deck, we need to calculate the perimeter of the triangle. The perimeter of a triangle is the sum of the lengths of all three sides.
Since each side of the triangular deck is 18 feet long, the perimeter (P) can be calculated as:
P = 18 feet + 18 feet + 18 feet
P = 54 feet
So, the length of the railing that will fit completely around the deck is 54 feet.
Next, let's find the area of the triangular deck. The area of a triangle can be calculated using the following formula:
Area (A) = (1/2) * base * height
Since the triangle is equilateral (all sides have the same length), any side can be considered as the base, and the height can be drawn from any vertex to the midpoint of the opposite side.
Let's consider one of the sides (18 feet) as the base. Now, to find the height, we can draw a perpendicular line from the vertex to the midpoint of the base, creating two right-angled triangles.
The height (h) of one right-angled triangle can be found using the Pythagorean theorem:
[tex]h^2 = (18 feet / 2)^2 + (18 feet)^2\\h^2 = 9 feet^2 + 324 feet^2\\h^2 = 333 feet^2\\[/tex]
h ≈ √333 feet
h ≈ 18.25 feet (rounded to two decimal places)
Now, we can find the area (A) of the triangular deck:
A = (1/2) * base * height
A = (1/2) * 18 feet * 18.25 feet
A ≈ 164.25 square feet (rounded to two decimal places)
So, the area of the triangular deck is approximately 164.25 square feet.
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PLEASE HELP!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
In circle k(O), AC is a diameter, AB is a chord, and MA is tangent to the circle. Angle MAB is acute. Prove that mMAB=mACB.
Let's call C the point on K(O) and segment AO. I assume you're aware of a 'secant tangent angle theorem', where if you know the measure of arc BC you can solve for angle BAD. Since CD is a diameter of the circle, the measure of arc CD is 180 degrees - with this you can easily find the measure of all arcs of the circle then apply the theorem
Use the addition property of equality to complete the statement
If 4x-3=10, then
4x=13
Step-by-step
add 3 to both sides making 10=13
4x=13
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
A hotel survey showed that nearly 30% of the guests staying at the hotel were there for personal reasons. The remainder of the guests were at the hotel on business.
Use the table of randomly generated letters to answer the questions about this scenario. The letter P represents personal reasons, and B represents business reasons.
BBB PBB BPB PPB BBP
BBP PBB PPB PBB BBP
BBP BPB BBB BBB BBB
PPB BPB PBP BPB BBP
BPB PBP PPB PBB BBB
Based on this data, the estimated probability that exactly two of the three guests randomly picked were not there for personal reasons is _____
The estimated probability that it takes at least four guests to find one who is staying for personal reasons is _____
Answer:
8
Step-by-step explanation:
John made a triangle with all three sides the same length, 1 \frac{2}{3} ft. What is the perimeter of the triangle?
Answer:
5 ft
Step-by-step explanation:
If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.
[tex]1\frac{2}{3}[/tex] × 3
[tex]1\frac{2}{3}[/tex] can be rewritten as [tex]\frac{5}{3}[/tex], so:
[tex]\frac{5}{3}[/tex] × [tex]\frac{3}{1}[/tex]
[tex]= \frac{15}{3}[/tex]
The numerator & denominator share a common factor of 3, so:
5 ft is the final answer/perimeter.
hope this helps!
Which statement best describes the figure shown below?
A.
The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.
B.
The figure is not an example of perpendicular segments because they are not coplanar.
C.
The figure is not an example of perpendicular segments because do not intersect to form a right angle.
D.
The figure is an example of perpendicular segments because they are not coplanar and intersect to form a right angle.
Answer:
A. . The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.Step-by-step explanation:
→the two segments are Coplanar because they are in the same plane
→The angle between the two segments is marked by a little square which indicates that it’s a right angle in other words the segments are perpendicular.
Let's say we have a sample of 57 participants in a study, what would the degrees of
freedom be for the study with one sample
Answer:
56
Step-by-step explanation:
degree of freedom is n - 1, n being the sample size
One sample of 57 participants in a study (given)
For this study, n = 57
Using the degree of freedom formula, 57 - 1 = 56
Hope it helps, Let me know if yoy have any more questions/concerns !
Have a nice rest of your day :)
The step function f(x) is graphed.
5
4+
3+
2+
1+
-5-4-3-2-1 1
-2+
-3
-4
-5
92
O
3 4
5 x
What is the value of f(1)?
0
O 1
02
O 4
Answer:
f(1) = 0
Step-by-step explanation:
Show the number on a number line:
-12 ÷ 4 =
Answer:
well if we take -12 and divide it by four we will get -3.
Step-by-step explanation:
If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.
Your answer will be -3 on the number line.
:)
Answer:
Step-by-step explanation:
-12/4 = -3
Solve cos 0 = 1 for 0, where 0º = 0 < 90°.
A) 60°
B) 0°
C)90
D)30
Answer:
to you in 1980 is the lol in lol1234in lol to you in the kids in the lero girl
On a camping trip you bring 12 items for 4 dinners. For each dinner you use 3 items. In how many ways can you choose items for the first dinner? for the second? for the third? for the fourth?
Answer:
220 options, 84 options, 20 options, 1 optionStep-by-step explanation:
The first dinnerCombinations of 3 out of 12 items
12C3 = 12!/(12-3)!3! = 12!/9!3! = 12*11*10/2*3 = 220The second dinnerCombinations 3 out of remaining 9 items
9C3 = 9!/(9 - 3)!3! = 9!/6!3! = 9*8*7/2*3 = 84The third dinnerCombinations of 3 out of remaining 6 items
6C3 = 6!/(6 - 3)!3! = 6!/3!3! = 6*5*4/2*3 = 20 The fourth dinnerCombinations of 3 out of 3 remaining items
3C3 = 3!/(3 - 3)!3! = 3!/0!3! = 1I need help pleaseeee
Answer:
$110.46
Step-by-step explanation:
1 bath towel is $15.78 we need 7. So the equation is 15.78 x 7 = 110.76.
Forty pounds of candy is distributed in 5/7 lb bags. How many bags can be filled?
_______ bags can be filled.
Answer:56 bags
Step-by-step explanation:
you are dividing 40 into 5/7 so its technically 40*7 divided by 5, which equals 56. double check by doing 56*5 divided by 7 and you get 40 pounds,
[tex]\frac{40(7)}{5}[/tex]Answer:
To find out how many can be filled, divide the number of pounds of candy by the number of pounds a single bag can hold.
40 can be considered 40/1.
So,
40/1 ÷ 5/7
Make 5/7 a reciprocal(basically flipping the fraction upside down):
40/1 ÷ 7/5
Convert the division symbol into a multiplication symbol:
40/1 × 7/5
Solve!
[tex]\frac{40(7)}{5}[/tex]
Cancel:
[tex]\frac{8(7)}{1}[/tex]
= 56 bags can be filled.
What is the surface area of this design?
400in
256in
640in
384in
Answer:
I don’t know
Step-by-step explanation:
1.3 as a mixed number
Answer: 1 3/10
Step-by-step explanation:
first turn it into a fraction 13/10 then how many times does 13 fit into 10. It fits once with 3 remaining. So you get 1 and 3/10
Answer:
1 3/10
Step-by-step explanation:
When you read the decimal number, it reads the same as the equivalent mixed number:
1.3 = "one and three tenths" = 1 3/10
__
Additional comment
This will generally be the case. Some mixed numbers found this way can have their fractions reduced:
1.2 = "one and two tenths" = 1 2/10 = 1 1/5
At a Harare swimming club, there are 35 girls and 25 boys. . In a Bulawayo swimming club, there are 22 girls and 14 boys. Which swimming club has the greatest proportion of girls? Explain how you worked out your answer.
Answer:
Bulawayo
Step-by-step explanation:
Proportions can be compared numerous ways. Here, we find it convenient to look at the difference between girls and boys relative to the number of boys.
__
HarareWith 35 girls and 25 boys, there are 10 more girls than boys. 10 is less than half of the number of boys, so the ratio of girls to boys is less than 1.5.
BulawayoWith 35 girls and 15 boys, there are 8 more girls than boys. 8 is more than half of the number of boys, so the ratio of girls to boys is more than 1.5.
Comparision"More than 1.5" is greater than "less than 1.5", so Bulawayo has the greatest proportion of girls.
_____
Additional comment
As a fraction of the total, the proportions of girls are ...
Harare: 35/(35+25) = 35/60 = 7/12 = 21/36
Bulawayo: 22/(22+14) = 22/36 . . . . . . greater than 21/36.
(10 : 2) • 3 = 10 · (2 - 3)
O A. True
O B. False
Answer:
I have got an answer it is false for explanation go to picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEOn a video game Julie earns 150 points for each gold bars she captures if S represents Julie's total score and B represents the number of captured gold bars which statements are correct?
A. s = 150b
B. b = 150s
C. s/150 = b
D. The score (s) is the dependent variable, and the number of bars is the independent variable.
E. The score (s) is the independent variable, and the number of bars is the dependent variable.
What is the measure of XYZ?
A. 56.5
Answer:
it is 113*
Step-by-step explanation:
hat is the measure of XYZ?
The cost of buying a small piece of land in a remote village since the year 1990 is represented by the following table: Time (years) Cost (thousands of dollars) 0. 30 36.9 44.1 51.1 57.9 65.1 21 4 6 8 10
which modle for C(t), the cost of the piece of land t years since 1990, best fits the data?
C(t) = 30 × (1.23)^t
C(t) = 30 + 7t
C(t) = 30 + 3.5t
C(t) = 30 × (1.12)^t
Answer:
Step-by-step explanation:
C(t)=30+3.5t
hope this help yw and can i get brainly pls