Answer:
768 in.
Step-by-step explanation:
1/2(30)-(40) this is on integers math maze freebie to search up
Answer:
hey thanks for ur points too
Step-by-step explanation:
#1 (7.6)
ABXC is a right triangle where mzXBC-90°, mzCXB-60°, and XB-5. Determine the length
of each side. Leave your answer as an exact answer.
1. Draw the triangle and label the given parts
2. Identify side types:
30-60-90 has hypotenuse, short, long
45-45-90 has hypotenuse, leg, leg
3. Write the formulas for the special right triangle. Plug in your values and solve.
To enter a square root answer, type the number outside and the number inside using the two
boxes provided. For example, 7√2 would look like 7
Length
Side
CB (long)
XB (hypotenuse)
The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective
What is a triangle?A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees
From the triangle, Using the trigonometric ratio of sine
Sin C = opposite/Hypothenuse
Sin30 = 5/H
Making h the subject of the relation we have
h= 5/sin30
h=5/0.5
Therefore the value of h=10 units
To find the third side use Pythagoras theorem
10² = 5²+p²
100-25 = p²
75 = p²
Taking the square of both sides
p=√75
p=8.7 units
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You can buy 20 pens for $8 or 30 pens for $10. Which is the better deal?
Answer: It would be the first one (20 pens for 8$)
Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.
A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
This circle is centered at the origin, and the length of its-radius is 3. What is
the circle's equation?
Answer:
The circle equation is x2+y2=9
Step-by-step explanation:
∴ The equation is x2 + y2=9
14. A nutritionist collected information about different
brands of beef hot dogs. She made a table showing
the number of Calories and the amount of sodium in
each hot dog.
a. Write an equation for the line of best fit.
Round all values to the nearest tenth if
needed.
Calories per
Beef Hot Dog
186
181
176
149
184
190
158
139
b. Write the correlation coefficient for the line of best fit.
Round to the nearest hundredth.
Milligrams of Sodium
per Beef Hot Dog
495
477
425
322
482
587
370
322
c. What does the correlation coefficient tell you about your line of best fit?
a. The equation of the line of best fit is y = 1.2x + 375.
b. The correlation coefficient for the line of best fit is 0.97.
c. The correlation coefficient of 0.97 is very close to 1, which indicates that there is a strong positive correlation between the number of calories and the amount of sodium in beef hot dogs.
How to explain the informationMean of x-values: (186 + 181 + 176 + 149 + 184 + 190 + 158 + 139) / 8 = 169
Mean of y-values: (495 + 477 + 425 + 322 + 482 + 587 + 370 + 322) / 8 = 437.5
Calculate the slope of the line of best fit.
Slope = (y2 - y1)/(x2 - x1) = (587 - 495)/(190 - 186) = 1.2
Calculate the y-intercept of the line of best fit.
y-intercept = mean of y-values - slope * mean of x-values
= 437.5 - 1.2 * 169
= 375
The equation of the line of best fit is y = 1.2x + 375.
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Help lads and thank yooooooooooooouuuuu
Answer:
12 weeks.
Step-by-step explanation:
On the twelfth week they will both have saved $160.
hope this helps.
The function f(x) = 1.25x + 12 represents the cost, in dollars, of a large pizza with x toppings. What does the 1.25 represent?
A the cost for each topping on a large pizza
B. the cost of a large pizza without toppings
C. the pizza delivery charge
D. the total cost of a large pizza
Solve for x
-22.3=x/3 -3.1
Answer:
-57.6=x
Step-by-step explanation:
-22.3= x/3-3.1
-19.2=x/3
-57.6=x
-5(x-3)=2(x-3) solve x
Hello!
Answer:
x = 3
Step-by-step explanation:
Hope this helps!
Answer:
-5x + 15 = 2x - 6
15 = 7x - 6
21 = 7x
x = 3
Step-by-step explanation:
Hope it Helps
Please help me I really need help
(ii) Find Z if -18=Z-3+2Z
Answer: Z=-5
Step-by-step explanation:
we want to group Z on only one side of the equation
-18=Z-3+2Z
-18-Z-2Z=-3 (subtract Z and 2Z from both sides, to remove Z from one side and to move it to the other side)
-3Z=-3+18 (regroup Z and add 18 on both sides, to have Z on only one side)
-3Z=15 (add -3+18)
3Z=-15 (multiply both sides by -1 to get a positive Z)
Z=-5 (divide both sides by 3)
Determine the slope of the line shown below.
Answer:
0
It runs parallel to the z-axis and so has a zero slope
Si seis conejos necesitan 10 sacos de comida a la semana, ¿cuántos sacos necesitarán nueve conejos para comer durante una semana?
Therefore, nine rabbits will need 7.5 sacks of food for one week.
What is unitary method?The unitary method is a mathematical technique that involves finding the value of a single unit to determine the value of a given number of units. It is a method of solving mathematical problems that involve proportional relationships between quantities. The unitary method is commonly used in various areas of mathematics, such as algebra, arithmetic, and geometry. It is also used in everyday life to solve problems related to money, time, distance, and other quantities.
Here,
To solve this problem, we can use proportionality. We know that the number of sacks of food needed is directly proportional to the number of rabbits.
Let x be the number of sacks needed for 9 rabbits. Then, we can set up the following proportion:
6/10 = 9/x
Cross-multiplying, we get:
6x = 90
Dividing both sides by 6, we get:
x = 15/2 or 7.5
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Complete question:
If six rabbits need 10 sacks of food per week, how many sacks will nine rabbits need to eat for one week?
One fruit drink advertised that it contained "10% real fruit juice." In one bottle, this was found to be 4.8 oz of real juice. How many ounces is something other than fruit juice?
Answer:
43.2 oz
Step-by-step explanation:
4.8/x=10/100
simplify:
4.8/x=1/10
cross multiply:
x=48
there is 48 oz juice in total
to find the rest:
48-4.8=43.2
43.2 oz is something other than fruit juice.
helppppp please I will give brainliest
The B is 2. B is the Y Intercept.
for each of the statements below, say what method of proof you should use to prove them. then say how the proof starts and how it ends. bonus points for filling in the middle. (a) there are no integers x and y such that x is a prime greater than 5 and x 6y 3. (b) for all integers n, if n is a multiple of 3, then n can be written as the sum of consecutive integers. (c) for all integers a and b, if a 2 b 2 is odd, then a or b is odd
The method of proof required to prove the statements are are as follows:(a) proof by contradiction. (b) proof by construction. and (c) proof by contrapositive.
a) To prove the statement "there are no integers x and y such that x is a prime greater than 5 and x 6y 3", we can use proof by contradiction.
The proof starts by assuming that there exist integers x and y such that x is a prime greater than 5 and x 6y 3. We then show that this assumption leads to a contradiction, i.e., a statement that cannot be true.
Suppose that x is a prime greater than 5 and x 6y 3 for some integers x and y. Then, we can write x as x = 6y + 3 = 3(2y + 1). This means that x is divisible by 3 and hence cannot be a prime greater than 5, contradicting our initial assumption. Therefore, our assumption that there exist integers x and y such that x is a prime greater than 5 and x 6y 3 is false, and the statement is proven.
b) To prove the statement "for all integers n, if n is a multiple of 3, then n can be written as the sum of consecutive integers", we can use proof by construction.
The proof starts by taking an arbitrary integer n that is a multiple of 3. We then construct a sequence of consecutive integers whose sum is equal to n.
Let k = n/3 be an integer. Then, we can write n as n = 3k. We can now construct a sequence of consecutive integers starting from k - (k-1) = 1 and ending at k + (k-1), such that their sum is n. For example, if k = 4, then the sequence is 1, 2, 3, 4, 5, 6, 7, and their sum is 3k = 12 = 1+2+3+4+5-6-7. Since we can construct such a sequence for any integer n that is a multiple of 3, the statement is proven.
c) To prove the statement "for all integers a and b, if a 2 b 2 is odd, then a or b is odd", we can use proof by contrapositive.
The contrapositive of the statement is: "if both a and b are even, then a 2 b 2 is even". To prove this, we can use the properties of even numbers, which can be written in the form 2k for some integer k.
Suppose that both a and b are even. Then, we can write a = 2m and b = 2n for some integers m and n. Substituting these values into the expression a 2 b 2, we get:
a 2 b 2 = (2m)2 (2n)2 = 4m2n2 = 2(2m2n2).
Since 2m2n2 is an integer, we have shown that a 2 b 2 is even. Therefore, the contrapositive statement is true.
Since the contrapositive statement is true, the original statement "for all integers a and b, if a 2 b 2 is odd, then a or b is odd" must also be true, because it is the logical equivalent of the contrapositive.
Therefore, the mentioned statements are proved with the methods of contradiction, construction, and contrapositive.
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Parametric point from A (2,1,0) to B(-2,0,1)
The parametric equations are mathematically given as
(x(t), y(t), z(t))= (2-4t, 1-t, t)
What is a Parametric point?Generally, To express the parametric point from A (2,1,0) to B(-2,0,1) in parametric form, we can use the following equation:
P(t) = (2-4t, 1-t, t)
To find the parametric equations for a point moving from A to B, we can use the following formula:
x = x₁ + t(x₂ - x1)
y = y₁ + t(y₂ - y₁)
z = z₁ + t(z₂ - z₁)
Where (x₁, y₁, z₁) is the starting point (A), (x₂, y₂, z₂) is the ending point (B), and t is a parameter that varies from 0 to 1.
Using this formula, the parametric equations for a point moving from A (2,1,0) to B(-2,0,1) are:
x = 2 + t(-2 - 2)
= 2 - 4t
y = 1 + t(0 - 1)
= 1 - t
z = 0 + t(1 - 0)
= t
These equations describe the motion of a point that starts at A, moves along the line segment from A to B, and arrives at B when t = 1.
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The complete Question was found
Find parametric equations for the line. (Use the parameter t.)
The line through points A (2,1,0) to B(-2,0,1)
(x(t), y(t), z(t))= \((\square)\)
What is the equivalent ratio for 4
The equivalent ratios are 8: 6 and 12:9.
Equivalent ratios:Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.
Here we have 4:3
To find equivalent ratios, we can multiply both terms by the same number.
Multiplying by 2
=> 4 × 2 : 3 × 2
=> 8 : 6
Multiplying by 3
=> 4 × 3 : 3 × 3
=> 12: 9
Therefore,
The equivalent ratios are 8: 6 and 12:9.
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Complete Question
What is the equivalent ratio for 4: 3
Write a quadratic function f whose zeros are -4 and -1
The quadratic function f whose zeros are -4 and -1 is f(x) = x² + 5x + 4.
What is the quadratic function f whose zeros are -4 and -1?Roots are the points where the graph intercepts with the x-axis, at that point y or f(x) = 0.
Given the roots in the question;
-4 and -1.
x = -4 was found by solving for x when x - (-4) = y or f(x) and we know that y or f(x) = 0
Hence, the factor is
x - (-4) ⇒ ( x + 4 )
x = -1 was found by solving for x when x - (-1) = y or f(x) and we know that y or f(x) = 0
Hence, the factor is
x - (-1) ⇒ ( x + 1 )
Next, we combine the factors and expand;
f(x) = ( x + 4 )( x + 1 )
f(x) = x( x + 1 ) +4( x + 1 )
f(x) = x² + x + 4x + 4
Combine like terms
f(x) = x² + 5x + 4
Therefore, the quadratic function f whose zeros are -4 and -1 is f(x) = x² + 5x + 4.
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a line passing through the point (−2, −3) with a slope of −6.
y + 3 = −6(x + 2) A
y + 2 = 6(x + 3) B
y − 3 = −6(x − 2) C
y − 2 = 6(x − 3) D
Answer:
A
Step-by-step explanation:
y + 3 = -6(x + 2)
y + 3 = -6x - 12
y + 3 = -6x - 12
y = -6x - 15
Why is it important to study the environment as a system?
Answer:
Step-by-step explanation:
Our environment is very important to us because it is where we live and share resources with other species. ... Environmental science enlightens us on how to conserve our environment in the face of increasing human population growth and anthropogenic activities that degrade natural resources and ecosystems. hope it help
The students at Job's high school
were surveyed to determine their
favorite foods. The results are shown
in the table below. Suppose students
were randomly selected and asked
what their favorite food is. Find the
probability of each event. Write as a
fraction in simplest form.
Favorite Food Responses
Pizza 19
Steak 8
Chow-mein 5
Seafood 4
Spaghetti 3
Cereal 1
16. P(steak)
17. P(Spaghetti)
18. P(cereal or seafood)
19. P(not chow-mein)
19. P(pizza)
20. P(cereal or steak)
21. P(not steak) 22. P(not cereal or seafood)
23. P(chicken) 24. P(chow mein or spaghetti)
What’s the answer to this question
Pls help first get brainest
Ethan invested $2,400 in an account paying an interest rate of 5 1/4% compounded monthly. Stella invested $2,400 in an account paying an interest rate of 5 3/4% compounded continuously. To the nearest dollar, how much money would Stella have in her account when Ethan's money has doubled in value?
Answer:
$4,204
Step-by-step explanation:
Ehthan A = $3,999.73
A = P + I where
P (principal) = $2,400.00
I (interest) = $1,599.73
After 9.75 years
A = $4,204.24
Susan: A = P + I where
P (principal) = $2,400.00
I (interest) = $1,804.24
First, convert R as a percent to r as a decimal
r = R/100
r = 5.75/100
r = 0.0575 rate per year,
Then solve the equation for A
A = Pert
A = 2,400.00(2.71828)^(0.0575)(9.75)
A = $4,204.24
The total amount accrued, principal plus interest, with compound interest on a principal of $2,400.00 at a rate of 5.75% per year compounded continuously over 9.75 years is $4,204.24.
Use the graph of the function to answer the following question.
Which of the following statements about the function is TRUE?
A.The function has a maximum value of 0.
B.As x approaches ∞, the function approaches ∞.
C.The function is always decreasing.
D.The function is positive on the interval (- 1, 1).
The function is positive on the interval (-1, 1)," is the only answer that is accurate. Due to the fact that the function accepts positive values for x between -1 and 0, accepts 0 at x = 0, and then accepts positive values.
A function on an interval is what exactly?When a function is specified at each point along an interval without any gaps, leaps, or interruptions, the interval is said to be continuous for that function.
When we examine the function's graph, we can observe that:
Because the function accepts negative values for x > 1 and positive values for x -1, it does not have a maximum value of 0.
The function does not approach as x approaches. Instead, as x rises, the function alternates between positive and negative values.
There are times when the function increases. Rather, it is rising on the interval (1, ) and falling on the intervals (-, 1). At x = -1, it has a local minimum, while at x = 1, it has a local maximum.
Due to the fact that it accepts negative values for x between -1 and 0, the function is not positive on the range (-1, 1).
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1/2 and 1/6 it has six squares and has 1/2 on one side and 1/6 in one square and then it says the bottom the question is blank numerical answer is expected answer for a blank one
Answer:
3
Explanation:
Given;
\(\frac{1}{2}\frac{\cdot}{\cdot}\frac{1}{6}\)To be able to determine the quotient of the above, we have to introduce the multiplication sign and invert the second fraction as seen below;
\(\frac{1}{2}\times\frac{6}{1}=\frac{6}{2}=3\)Sketch rectangle ABCD search that BC is the radius of Circle B
The ABCD rectangle with BC as the radius is:
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
How do you find the width I need the class width
In a frequency distribution, class width refers to the difference between the upper and lower boundaries of any class or category. It is calculated as:
\(Width=\frac{greatest-lowest}{n}=\frac{65-45}{7}=2.85\)Where "greatest" and "lowest" are the greatest and the lowest numbers of the whole set of data, and "n" is the number of classes. Hence, the class width is 2.85