Answer:
\(2\sqrt{5}\)
Step-by-step explanation:
You can use the Pythagorean Theorem, which is \(a^{2}+ b^{2}= c^{2}\). So the the distance from -9 to -5 is 4 and the distance from 8 to 6 is 2.
So \(4^{2} +2^{2} =c^{2}\). Which equals \(20=c^{2}\).
Then you square root \(c^{2}\) to make it c, then you do that to the other side. So you have \(\sqrt{20}=c\).
Which equals \(2\sqrt{5}\).
Or you can use the Distance Formula, which is \(\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }\).
The \(x_{1}\) is -5 and the \(x_{2}\) is -9. The \(y_{1}\) is 6 and the \(y_{2}\) is 8. When you plug that in you get \(\sqrt{(-9--5)^{2} +(8-6))^{2} }\). When you simplify that you get \(\sqrt{20}\).
Which equals \(2\sqrt{5}\).
(3 + 2) (5-v2)
Expand and simplify
Answer:
25−5v2
oof oof oof oof oof oof oof oof
What type of angles are labeled and what is the value of m? Show your work.
Answer: I believe
M = 80
Step-by-step explanation:
100 - 20 = 80
which is true when x-3<2
Hey there!
“x – 3 < 2”
Let’s change your current question into a(n) equation to make it EASIER to solve (this is for temporary purposes ONLY)
• Temporary question
x – 3 = 2
• First: ADD BOTH SIDES by 3
x – 3 + 3 = 2 + 3
• CANCEL: –3 + 3 because that gives you 0
• KEEP: 2 + 3 because that helps solve for x
• New temporary question: 2 + 3 = x
2 + 3 = 5
The temporary question answer is: x = 5 ✅
NOW LETS SOLVE FOR YOUR ACTUAL EQUATION (just saying it REQUIRES the SAME steps as the temporary question just a TAD bit differently!)
x – 3 < 2
• FIRST: ADD both SIDES BY 3
x – 3 + 3 < 2 + 3
• CANCEL: –3 + 3 because that gives you 0
• KEEP: 2 + 3 because that helps us compare the answer with x
• New equation: x < 2 + 3
2 + 3 = 5
x < 5
Answer to your given question is: x < 5 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
whats the value of 5 in the product of 6,541 x 100
Answer:
50,000
Step-by-step explanation:
The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.
I hope this helps!
* Which shape is both a rectangle and a square?
Answer:
A square is a type of rectangle, so any square can also be called a rectangle. However, not all rectangles are squares.
A rectangle is a quadrilateral with four right angles, whereas a square is a special type of rectangle with four right angles and four equal sides.
So the shape that is both a rectangle and a square is a square.
John bought a shirt at ksh 500 and marked it at Ksh 600. A customer bought it at ksh 550. What was the percentage discount?
Answer:
The original price of the shirt was Ksh 500 and it was sold for Ksh 550.
The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.
To find the percentage discount, we can use the formula:
percentage discount = (discount ÷ original price) × 100%
percentage discount = (-50 ÷ 500) × 100%
percentage discount = -10%
Therefore, the percentage discount is 10%.
Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is between $45 and $75.
What will be the cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100?A 25% off coupon is a discount price.
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is calculated as follows:
For a $60 meal:
Cost of meal = $60 - 25% * $60
Cost of meal = $60 - $15
Cost of meal = $45
For a $100 meal:
Cost of meal = $100 - 25% * $100
Cost of meal = $100 - $25
Cost of meal = $75
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Complete question:
Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)
What is the absolute
value for:
| +98|
Answer:
The absolute value of +98 is simply 98. So, | +98| = 98.
Step-by-step explanation:
Answer:
98
Step-by-step explanation:
The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.
The product of 4 and the sum of a number and is equal to the difference of twice the number and . Find the number.
The number is -4
\(x \times\)4+4= 2\(x\)-4
\($$x \times 4+4=2 x-4$$\)
Subtract 4 from both sides\($x \times 4+4-4=2 x-4-4$\)
Simplify
\($$x \times 4=2 x-8$$\)
Subtract \($2 x$\) from both sides \($x \times 4-2 x=2 x-8-2 x$\)
Simplify
\($$2 x=-8$$\)
Divide both sides by 2
\(\frac{2 x}{2}=\frac{-8}{2}$$\)
Simplify
\($$x=-4$$\)
A strategy for teaching division is by repeated subtraction. It involves repeatedly subtracting the same integer from a big number until the result is zero. It is a fantastic approach to teach kids about division. A technique called repeated subtraction, commonly referred to as division, removes an equal amount of items from a group.
Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
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The difference between 4 and the sum of a number and is equal to twice that number. The number is -4.
Given that,
The difference between 4 and the sum of a number and is equal to twice that number.
Repeated subtraction is a method for teaching division. Until the result is zero, the same integer must be repeatedly subtracted from a large number. Repeated subtraction, sometimes known as division, is a method that takes an equal number of elements out of a group.
Division's opposite is multiplication. If 3 groups of 4 total up to 12, then 4 are in each group when 12 is divided into 3 equal groups. The fundamental goal of division is to produce equal groups or to determine how many individuals are in each group following a fair distribution.
x×4+4=2x-4
Subtracting 4 on both sides
4x+4-4=2x-4-4
4x=2x-8
Now, substracting 2x from both sides
4x-2x=2x-8-2x
2x=-8
x=-4
Therefore, The number is -4.
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Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet?
Group of answer choices
439.6 feet
3846.5 feet
109.9 feet
1758.4 feet
The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.
The formula to calculate the length of an arc is given by:
Length of arc = (θ/360) * 2πr
Where:
θ is the central angle of the arc (in degrees)
r is the radius of the circle
In this case, since the handler is creating a full circle, the central angle is 360 degrees.
Length of arc = (360/360) * 2π * 70
Length of arc = (1) * 2π * 70
Length of arc = 2π * 70
Length of arc = 140π
To find the approximate value in feet, we can use the approximation π ≈ 3.14159.
Length of arc ≈ 140 * 3.14159
Length of arc ≈ 439.8204 feet
Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
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The sum of two numbers is 58. The smaller number is 16 less than the larger number. What are the numbers?
Answer:
hope it may help you
Step-by-step explanation:
n and n+14 are the numbers or you can use n and n-14; either way
n+n+14=58
2n+14=58
2n=58-14
2n=44
n=22 and n+14=22+14=36
22 and 36 are the numbers
or,...
58/2=29
29 and 29
28 and 30
27 and 31
26 and 32
25 and 33
24 and 34
23 and 35
22 and 36 answer
The radius of a circle is 3 feet. What is the length of a 75° arc?
Therefore , the solution of the given problem of circle comes out to be arc length 3.93 feet.
How do circles work?Every area of the plane that is separated by a specific amount from this additional point makes a circle (center). As a result, it is a curve made up of spots that are separated from one another on the surface. Additionally, it rotates similarly about the centre at every angle. Every collection of endpoints in the confined, two-dimensional sphere of a circle is uniformly spaced apart from the "centre."
Here,
A circle with a radius of 3 feet is equal to its diameter as follows:
=> C = 2πr = 2π(3) = 6π feet
Since there are 360° of angles in a circle's centre, the angle for a 75° curve is:
5/24 of a complete circle is 75/360.
Therefore, the 75° arc's extent is
5/24 × 6π = 5π/4 ≈ 3.93 feet
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what is da rate to question
The calculated value of the rate of the graph is 0.8
How to determine the rate of the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(0, -16) and (20, 0)
The rate of the graph is calculated as
Rate = Change in y/x
using the above as a guide, we have the following:
Rate = (0 + 16)/(20 - 0)
Evaluate
Rate = 0.8
Hence, the rate is 0.8
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You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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What is the equation of this line? A) y=-2x B)y=-1/2x C)y=2x D)y=1/2x
Answer:
y = -1/2 x
Step-by-step explanation:
Option B is the correct answer.
For f(x) = √(x+4) , what is the value of the function when x = 8 ? Round to the nearest hundredth.
NEED ANSWER ASAP!!
Answer:
exact form : 2√3
decimal form : 3.46410161… or 3.46
hope this helps you!
Answer:
The value of the function is \(\sqrt{12}\). Rounded to the nearest hundredth, the answer is 3.46
Step-by-step explanation:
We are given the value of x, so we simply have to evaluate the function:
\(f(x)=\sqrt{x+4}\)
Substitute 8
\(f(8)=\sqrt{8+4}\)
Add in the radical
\(\sqrt{12}\)
The value of the function is sqrt(12).
Rounded to the nearest hundredth: \(3.46\)
A quadratic function f whose zeros are -3,-8
Answer:
\(x^2+11x+24=0\)
Step-by-step explanation:
Given that,
The zeros of a quadratic function are -3 and -8
It means,
(x+3) = 0 and (x+8)=0
Now multiply them together,
\((x+3)(x+8)=0\\\\x^2+8x+3x+24=0\\\\x^2+11x+24=0\)
Hence, the required equation is equal to \(x^2+11x+24=0\).
Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses
Answer:
It should be 42.4
Jan found 24 bagels on sale for $9. She is planning to serve breakfast for her students and parents and needs 48 bagels. How much will she spend?
Answer:
$18
Step-by-step explanation:
9 multiplied by 2 equals 18.
Hope this helps :)
The Weaver family went to dinner and spent $52.75. They had great service so they tipped the server 22%. What was the Weaver's total bill?
To find the total amount that the Weaver family spent on their dinner, you need to add the tip to the original bill. To calculate the tip, you need to multiply the cost of the dinner by the percentage of the tip: $52.75 × 22% = $11.61.
Then, you can add the tip to the original bill to find the total cost of the dinner: $52.75 + $11.61 = $64.36.
Therefore, the Weaver family's total bill for their dinner was $64.36.
one fourth of the movies playing at a theater are action movies. of the action movies, 1/5 have been playing at the theater for more than three weeks. What fraction of all the movies at the theater are action movies that have been playing for more than three weeks:
We will see that the fraction is 1/20, 1/20 of the total movies are action movies that have been playing for more than three weeks.
How to find the wanted fraction?Here we want to find the fraction of all the movies at the theater are action movies that have been playing for more than three weeks.
First, we know that 1/4 of the total number of movies are action movies, and, of these 1/4 movies, 1/5 have been playing at the theater for more than 3 weeks.
Then the fraction that we want is:
f = (1/4)*(1/5)
f = 1/20
That is the fraction we wanted to get.
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if the earthquake has stronger magnitude what does it mean
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
write an equation for a line parallel to y = − 2 x − 3 and passing through the point (3,-3)
Equation of line parallel to y = − 2 x − 3 and passing through the point (3,-3) is y = -2x + 3.
When two lines are called parallel?
Two lines are parallel lines if they do not intersect.
The slopes of the lines are the same.
f(x)= mx + b and g(x)= nx + c are parallel if m = n.
According to the given question:
Given equation of line is y = −2x − 3
If the new line is parallel, then it will have the same slope.
y = -2x + b
Now this line passes through the point (x,y) = (3,-3) so put in the x and y values into the equation above, solve for b
-3 = -2(3) + b
b = 3
Therefore the required equation of line is
y = -2x + 3
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James had a large bag of raisins and he ate3/4 of it over the weekend. Monday he decided to share the remaining raisins with 2 friends so that each of 3 of them get a fair share. What portion of the whole bag of raisins did each of friends get
The share of the whole bag of raisins individually of the friends get will be 1/12.
What is Algebra?Algebra is the study of ideational symbols, while logic is the manipulation of all those opinions.
James had a large bag of raisins and he consumed 3/4 of it over the weekend. Then the share of raisins left is given as,
⇒ 1 - 3/4
⇒ 1/4
Monday he determined to share the remaining raisins with 2 friends so that individuals of the 3 of them fetches a fair share. Then the portion of the entire bag of raisins did separately of the friends get will be given as,
⇒ (1/4) / 3
⇒ 1 / (4 x 3)
⇒ 1 / 12
The share of the whole bag of raisins separately among the friends get will be 1/12.
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PLEASE HELP ILL DO ANYTHING
Directions: Follow the
line to match the letter
with the number. Then,
put the numbers in the
correct spot in the
equation and solve.
LEVEL 2
Give it some time. Stay on the line!
A
в с
3 35 9
Code: (-A) + (-B) - C =
5
LEVEL 3
This eve of this clock. Can you escape before it's too late?
6
7
8
Dan kad s
for whaters are pred t
Land at the end
what hour of the clock should be th
LEVEL 4
-C/1 F/H
Code:
Each mber has spe
-5-6-7
0.2 × (-70)
Code:
TELL I N
Answer:
Level 1=-47 level 2=47 3=8 level 4=-1.4
Step-by-step explanation:
Answer: Level 1=-47 level 2=47 3=8 level 4=-1.4
Step-by-step explanation:
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The probability of landing on yellow is less than the probability of landing on blue is true. Hence, option 2 is the correct answer.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.
The probability of landing on different colors can be calculated by taking the ratio of colored section to the total number of sections.
The probability is thus as follows:
P (Orange) = 1/8
P (Purple) = 2/8
P(Blue) = 3/8
P(Yellow) = 2/8
From the probability we can observe that the statement, the probability of landing on yellow is less than the probability of landing on blue is true.
Hence, option 2 is the correct answer.
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Answer:Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on yellow.
can you help please
The median weekly gross income for someone with a bachelor's degree was $2,117.00. If they continued their education and training and earned a master's degree, they had an increase in their median weekly income of about 46.1%. Determine the median weekly income for someone with a master's degree.
$2,856.12
$3,092.94
$3,153.76
$2,908.45
A master's degree earner's typical weekly salary is $3,092.94.
What is the meaning of percentage?
A percentage in mathematics is a number or ratio that may be stated as a fraction of 100.In determining a percentage of a number, we should first divide it by 100 before multiply the outcome by 100. As a result, the proportion refers to a part per 100. The word "percent" refers to a fraction of one hundred. The letter "%" stands for it.
Considering that the median gross weekly wage for a bachelor's degree holder was $2,117.00.
If any one had mater degree, then an increase in the median weekly income of about 46.1%.
To find the increment multiply $2,117.00 with increase rate:
The increment is $2,117.00 × 46.1% = 2,117.00 × 46.1/100= $975.937
The total the median weekly income is
$975.937 + $2,117.00
= $3,092.937
≈ $3,092.94
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Solve 5x+4y= 9 for y.
Given:
\(5x+4y=9\)To solve for y:
Explanation:
Isolating 4y, we get,
\(4y=9-5x\)Dividing by 4 into both sides, we get
\(y=\frac{9-5x}{4}\)Final answer:
\(y=\frac{9-5x}{4}\)