Answer:
Yuri read 12 more books than Hiro.
Step-by-step explanation:
17-5=12
If a loan is taken out for $278 at 10% and costs the borrower $174.12 in simple interest, how many years was the loan for? ROUND YOUR ANSWER TO THE NEAREST WHOLE YEAR
Data:
Loan=$278 at 10%
A simple interest is calculated for payments on the initial capital.
If the total interest was $174.12.
If the interest is on a year. You calculated the interes of one year. The 10% of $278:
\(278\cdot\frac{10}{100}=27.8\)In a year the interest is $27.8.
Then, $174.12 divided into $27.8 is the number of years of the loan:
\(\frac{174.12}{27.8}=6.26\approx6\)Then, the loan was for 6 yearsYou buy a 625.05 mL container of dish soap. You already have
142.71 mL at home.
How many mL do you have in total?
ml
Answer:
You have 767.76 mL of soap.
Answer: 767.76 ml of dish soap.
Step-by-step explanation: 625.05+142.71=767.76.
historical data shows that with 68% confidence we can finish a task that follows a normal distribution between 81 and 85 days. what is the standard deviation of the duration of this task?
The standard deviation of the duration of this task is 4 days
To determine the standard deviation of the duration of the task, we can use the information about the confidence interval and the properties of the normal distribution.
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Since the confidence interval provided (81 to 85 days) represents the range within one standard deviation from the mean, we can find the standard deviation by calculating the range between the upper and lower limits of the confidence interval.
The range of the confidence interval is given by:
Range = Upper Limit - Lower Limit
= 85 - 81
= 4
Since this range corresponds to one standard deviation, the standard deviation of the duration of the task is also 4 days.
Therefore, the standard deviation of the duration of this task is 4 days.
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question 5 mathematics
The quadratic regression equation for the data-set in this problem is given as follows:
y = 0.96x² - 5.77x + 1.38.
How to obtain the regression equation?Regression equations are obtained inserting the points of a data-set into a calculator.
In this problem, we want to find the quadratic regression equation, hence a quadratic regression calculator is used.
The points are given as follows:
(-1,8), (5,-4), (7,8), (2,-6).
Inserting these points into a calculator, the regression equation is given as follows:
y = 0.96x² - 5.77x + 1.38.
Meaning that the second option is the correct option.
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Requie
2) 20 + (-45)
Answer:
20 + (-45) = -25
P =(-180i + 60j + 80k), the distance between A and O is 10m. solve for rOA
The vector rOA is approximately -0.048i + 0.024j + 0.039k. This represents the position of point A relative to the origin O when the distance between them is 10m.
To solve for rOA, the distance between point A and the origin O, given vector P = (-180i + 60j + 80k) and a distance of 10m, we need to find the magnitude of vector P and scale it by the distance.
The vector P represents the position of point A relative to the origin O. To find the magnitude of vector P, we use the formula:
|P| = \(\sqrt{((-180)^2 + 60^2 + 80^2)}\)
Calculating this, we get |P| = √(32400 + 3600 + 6400) = √(42400) ≈ 205.96
Now, to find rOA, we scale the vector P by the distance of 10m. This can be done by multiplying each component of vector P by the distance and dividing by the magnitude:
rOA = (10/|P|) * P
= (10/205.96) * (-180i + 60j + 80k)
≈ (-0.048i + 0.024j + 0.039k)
Therefore, the vector rOA is approximately -0.048i + 0.024j + 0.039k. This represents the position of point A relative to the origin O when the distance between them is 10m.
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Find the probability.
There are ten shirts in your closet, four blue and six green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear a blue shirt on Monday and a green shirt on Tuesday.
A) 4/15 » 0.267 B) 1/12 » 0.083
C) 3/11 » 0.273 D) 24/91 » 0.264
Answer:
the answer should be B, 1/12 > 0.083
se polar coordinates to find the volume of the solid below the cone z=x^2 y^2 and above the ring 1 x^2y≤
The volume of the solid below the cone z = x²y² and above the ring 1 ≤ x² + y² ≤ 4 in polar coordinates is (64π/15).
To find the volume of the solid, we integrate the function representing the cone over the region defined by the ring in polar coordinates.
In polar coordinates, the cone equation z = x²y² can be expressed as z = r²cos²(θ)sin²(θ), where r represents the radial distance and θ represents the angle.
The region defined by the ring can be expressed as 1 ≤ r² ≤ 4.
To find the volume, we integrate the function z = r²cos²(θ)sin²(θ) over the region of the ring in polar coordinates.
V = ∫∫∫ r²cos²(θ)sin²(θ) r dr dθ
= ∫[0,2π] ∫[1,2] r³cos²(θ)sin²(θ) dr dθ
= ∫[0,2π] ∫[1,2] r³(cos²(θ))(sin²(θ)) dr dθ
= ∫[0,2π] ∫[1,2] r³cos²(θ)sin²(θ) dr dθ
To evaluate this integral, we can use the property cos²(θ)sin²(θ) = (1/4)sin²(2θ), so the integral becomes:
V = (1/4) ∫[0,2π] ∫[1,2] r³sin²(2θ) dr dθ
Now, we integrate with respect to r:
V = (1/4) ∫[0,2π] [(1/4)r⁴sin²(2θ)] [1,2] dθ
= (1/4) ∫[0,2π] [(1/4)(2⁴ - 1⁴)sin²(2θ)] dθ
= (1/4) ∫[0,2π] [(15/4)sin²(2θ)] dθ
= (15/16) ∫[0,2π] [1 - cos(4θ)]/2 dθ
= (15/32) [θ - (1/4)sin(4θ)] [0,2π]
= (15/32) [2π - (1/4)sin(8π) - 0 + (1/4)sin(0)]
= (15/32) (2π - 0)
= 15π/16
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A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?
Responses
The two linear equations never intersect.
The two linear equations never intersect.
The two linear equations graph the same line.
The two linear equations graph the same line.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.
The two linear equations intersect at exactly one point.
The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.
How many types of solution are there for two linear equations ?
There are 2 types of solution :
Consistent :
A consistent system is said to be an independent system if it has a single solution.
A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.
Non-consistent :
Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.
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The two linear equations never intersect.
When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.
If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.
It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.
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Help me with this please ASAP
Answer:
Im so sorry but I have no idea
Step-by-step explanation:
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
\( \sf \: x = 25\)
Step-by-step explanation:
Given equation,
→ (x - 7)2 = 36
Now the value of x will be,
→ 2(x - 7) = 36
→ (2 × x) - (2 × 7) = 36
→ 2x - 14 = 36
→ 2x = 36 + 14
→ 2x = 50
→ x = 50/2
→ [ x = 25 ]
Hence, the value of x is 25.
Answer:
x = 25
Step-by-step explanation:
(x-7)2 = 36
divide both sides by 2
x-7 = 18
add 7 to both sides
x = 25
GUYS WILL U PLS HELP ME I AM IN DESPERATE NEED OF iT!!!!!!!
Your Assignment
The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
2. Estimate Mercury's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
3. Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10). Show your work.
Write your answer in the space below.
Answer:
1)2 x 10^27 kg
2)3.30 x 10^23 kg
3)Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
1)Mass of Jupiter is 2 x 10²⁷ kg.
2)Mass of mercury is 3.30 x 10²³ kg.
3)Jupiter is 5,751.51 times more massive than Mercury.
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.
1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The scientific notation is:- 2 x 10²⁷ kg.
2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.
The scientific notation is:- 3.30 x 10²³ kg.
Divide Jupiter's mass by the mass of mercury.
Jupiter / Mercury = 2 x 10²⁷ / 3.30 x 10²³
Jupiter / Mercury = 5,751.51
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Emma and her 3 friends were thirsty, so she shared One-half gallon of lemonade equally among 4 people. How much lemonade did each person get?
One-half divided by 4 =
Answer:
\(\frac{1}{8}\) gallon per person
Answer:
yeah what mya said 1/8
Step-by-step explanation:
gl
Samuel made 31 out of 40 field goals during football practice. What percent of the field goals did Samuel make?
The percent of the field goals did Samuel make will be 77.5%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:
= 31 / 40 × 100
= 77.5%
The percentage is 77.5%.
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Central Market sells 5 jars of jam for $3.00. Valley Market sells jars of jam at 59 cents per jar. Yasmin bought 10 jars from Central Market, and Nadia bought 10 jars from Valley Market.
Answer:
Yasmin will spend $6
Nadia will spend $5.9
Step-by-step explanation:
Step one:
the cost of 5 jars at Central market is $3
the cost of 1 jar = 3/5= $0.6
60 cents per jar
we are told that Valley Market sells jars of jam at 59 cents per jar.
$0.59
Step two:
If Yasmin buys 10 jars from Central Market,
Yasmin will spend = 10*0.6= $6
If Nadia buys 10 jars from Valley Market.
Nadia will spend = 10*0.59= $5.9
The market difference is 6-5.9= $0.1
PLEASE HELP ME !!!!!! EASY!!!!
Answer:
JL = √38.
a = 1 and b = 38.
Step-by-step explanation:
Using Pythagoras:
(JL)^2 = (√8)^2 + (√30)^2
(JL)^2 = 8 + 30 = 38.
JL = √38.
This is the net of a triangular prism. To calculate the lateral surface area,
you should add the areas of which sides?
A
A
B
с
c
D
E
E
O A. A, C, and E
O B. B, C, and D
O C. B and D
O D. A, B, C, D, and E
Answer:
C B and D
Step-by-step explanation:
the surface area plus the two triangles
can you explain to me what a voronoi diagram is?and what are the edges, and other things?
A Voronoi diagram is a division of a plane into areas near each of a given set of objects in mathematics. These things are just infinitely many points in the plane in the simplest scenario (called seeds, sites, or generators). There is a region, known as a Voronoi cell, for each seed that is made up of all points in the plane that are closer to that seed than to any other point. A set of points' Voronoi diagram and Delaunay triangulation are identical.
We are aware that any intersection of half-planes results in a convex region bordered by a collection of linked line segments. Voronoi edges are the line segments that define the limits of Voronoi regions. These edges' termini are known as Voronoi vertices.
Voronoi diagram:
A Voronoi diagram in mathematics is a division of a plane into areas near to each of a given set of objects. These things are simply infinitely many plane points in the most basic scenario (called seeds, sites, or generators).
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reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
How many kilometers is the race?
Enter your answer as a decimal in the box.
20 point 1 6
km
Total distance of the triathlon race is 23.34 kilometers.
Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
The total distance of the race is 23.34 kilometers.
Reg enters a triathlon race.
He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km
Total distance = 23.34 km.
The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.
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does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
\(\sf\implies x^2 + y^2 = 25 \)
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
\(\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2\)
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
\(\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }\)
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle.
Find the surface area. 7in 4'in 10 in.
Answer:
you are multiply 7 * 4 and then whatever you get for that you multiply that by ten
PLEASE HELP!!!!! I ONLY HAVE AN HOUR!!!
Solve.
–6 ≥ 10 – 8x
x ≤ –2
x ≤ 2
x ≥ –2
x ≥ 2
if there both consecutive doesn't that mean that there both -9 so how is one bigger an one smaller....
Answer:
-14
Step-by-step explanation:
have a great day good luck
An Isosceles triangle and a square have the same perimeter. Find the side lengths of the triangle.
triangle base: 3x
triangle height: 2x+1
square length: 4
Answer: 5, 5, 6
How you get this answer?
If f(x) = 3x + 5 and g(x) = -2x2 – 5x + 3, find (f + g)(x).=A. (f+ g)(x) = -2x2 + 8x + 8=B. (f+ g)(x) = -2x + 8O c. (f+ g)(x) = -2x2 - 2x + 8-O D. (f+ g)(x) = -4x+8
Given:
\(f(x)=3x+5\text{ and }g(x)=-2x^2=5x+3.\)Aim:
We need to find (f+g)(x).
Explanation:
We know that
\((f+g)(x)=f(x)+g(x)\)Substitute know values.
\((f+g)(x)=(3x+5)+(-2x^2+5x+3)\)\((f+g)(x)=3x+5-2x^2+5x+3\)Add like terms that have the same variable with the same power of the variable.
\((f+g)(x)=-2x^2+5x+3x+3+5\)\((f+g)(x)=-2x^2+8x+8\)Final answer:
\((f+g)(x)=-2x^2+8x+8\)You have in your pocket 10 coins.9 of them are ordinary coins with one tail and one head and the 10th coin has two heads. You randomly pick one coin from your pocket.What is the probability that this coin will land on heads? A. 0.45 B. 0.48 C. 0.55 D. 0.52 PLZ EXPLAIN, PLZ HELP!!!
Answer: C. 0.55
Step-by-step explanation:
You have 9/10 fair coins and 1/10 double heads.
The probability of throwing a head is (9/10*1/2)+(1/10*2/2)
=11/20 which is equal to 0.55
HOPES THIS HELP
Help me please and thank you
Answer: It is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It would be D because you must have 4x (To find the individual water bottle price) plus $3.39 (The price of the popcorn) and have it equal $7.43 (The total cost)
In equation form, this would be 4x+3.39=7.43
Please help me ASAP!!!!!
Answer:
The surface area is 80.9.
Step-by-step explanation:
If g is the midpoint of fh find the length of fh
Answer:
Answer is
Step-by-step explanation:
14x+16
please make me biliant
Answer:
the answer is 14π+16
it help you
Write each problem that could be solved by each equation
4y-2=18
X/2+5=11
Answer:
y = 4, x=1 or x=110
Step-by-step explanation:
1. 4y-2=18 2. x/2+5=11
-2 -2 x/10=11
4y = 16 x=1
4y/4 = 16/4 or
y=4 x/10=11
0.1x=11
0.1x/0.1 = 11/0.1
x=110