Step-by-step explanation:
65 * (3/5) = 39
Jeremy can expect to make 39 shots.
x=1/2 and y= -5
4(1/2) (4) -3 (-5)
The value of 4x - 3y when x=1/2 and y=-5 is -13. The given equation can be simplified by using the distributive property.
What is an equation?An mathematical equation is a statement that states that two expressions are equal. It is usually written using symbols such as +, -, x, and ÷. They can be used to find unknown values, such as the area of a circle or the speed of a moving object.
The equation 4x - 3y = 0 can be rearranged to 4x = 3y. We can substitute 1/2 for x and -5 for y to determine the value of the equation. The equation becomes 4(1/2) (4) -3 (-5). This equation can be simplified by using the distributive property. The equation simplifies to 4/2 - 15. 4/2 simplifies to 2 and -15 simplifies to -15. The final answer is 2 - 15 = -13.
Therefore, the value of 4x - 3y when x=1/2 and y=-5 is -13.
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The value of 4x - 3y when x=1/2 and y=-5 is -13. The given equation can be simplified by using the distributive property.
What is an equation?An mathematical equation is a statement that states that two expressions are equal. It is usually written using symbols such as +, -, x, and ÷. They can be used to find unknown values, such as the area of a circle or the speed of a moving object.
The equation 4x - 3y = 0 can be rearranged to 4x = 3y. We can substitute 1/2 for x and -5 for y to determine the value of the equation. The equation becomes 4(1/2) (4) -3 (-5). This equation can be simplified by using the distributive property. The equation simplifies to 4/2 - 15. 4/2 simplifies to 2 and -15 simplifies to -15. The final answer is 2 - 15 = -13.
Therefore, the value of 4x - 3y when x=1/2 and y=-5 is -13.
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Complete question -
Find the value of 4x - 3y when x=1/2 and y=-5.
Using the primary trigonometric formulas you learned in Lesson 1, explain why the equation cos q = 1.4 has no solutions.
Answer:
see explanation
Step-by-step explanation:
For the equation to have solutions , then
- 1 ≤ cosq ≤ 1
Since cosq = 1.4 ( out with limits )
Then the equation has no solutions
please help meeeeeeeeeeeeeeee
A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.
This is equivalent to y = 3x+4 (slope intercept form)
By "standard form", I mean the form Ax+By+C = 0.
====================================================
Explanation:
Let's solve the first equation for y
x+3y-4 = 0
x+3y = 4
3y = 4-x
3y = -x+4
y = (-x+4)/3
y = (-x/3) + (4/3)
y = (-1/3)x + (4/3)
The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.
Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.
So this mystery perpendicular line we're after has a slope of 3.
It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.
2x+5y-20 = 0
2(0)+5y-20 = 0
5y-20 = 0
5y = 20
y = 50/5
y = 4
The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.
-------------------------------------
We found that:
m = 3 is the slope of the perpendicular lineb = 4 is the y intercept of the perpendicular lineSo we know that,
y = mx+b
y = 3x+4
is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well
y = 3x+4
y-3x = 4
-3x+y = 4 .... one way to express standard form
-3x+y-4 = 0 .... another standard form
Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.
Below are two parallel lines with a third line intersecting them.
Answer:
x+131=180
then subtract 131
x=49
Find many ways of arranging 24 counters in equal rows as you can. Write a multiplication sentence for each way
Answer:
6×4
2×12
8×3
Step-by-step explanation:
I know!
A street sign that is 8 feet tall casts a shadow that is 5 feet long. At the same time, a nearby tree casts a shadow that is 28 feet long. What is the height of the tree?
Answer:
44.8 feet
Step-by-step explanation:
How to find the maximum volume of a cylinder inscribed in a sphere of radius r?
To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.
Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.
Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.
To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:
d/dx (2πr^3) = 6πr^2 = 0
This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.
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solve for x
a) 2
b) 8
c) -2
d) -8
Answer:
Step-by-step explanation:
These angles are equal because the parallel lines are traversed by a straight line.
17x-6=15x+10 add 6 to each side
17x=15x+16. Subtract 15x from each side
2x=16. divide each side by 2
x=8
85% of what number is 17
Answer:
20
Step-by-step explanation:
To solve this problem, we must first assign a variable, x. Now, converting the words into a math equation, we get:
85% * x = 17.
Soliving the linear equation, we get:
0.85x = 17.
So, x = 20.
Hence, our answer is 20.
Please help me!! I’ll mark you beainliest
Answer:
11 months
Step-by-step explanation:
50m + 75 >= 600
just solve the inequality like how you would solve an equation, by inverse operations and simplifying
50m + 75 >= 600
-75 -75
50m >= 525
/50 /50
m>= 10.5
just round up, because 0.5 of a month really isn't an answer
so 11 months
[ ( 7 − 5 ) ÷ 1/2 ] × 2
Answer:
8
Step-by-step explanation:
[( 7 − 5 ) ÷ 1/2] × 2
[(2) ÷ 0.5] × 2
[2 × 2] × 2
4 × 2
8
Is -5/3 rational or irratuonal
Matthew has $45 in savings and plans to save an additional $30 each month. How long will it take him to save enough for a $250 bike? What is the equation in this situation?
O 250 = 450 + 30
O 250 = 30.2 + 45
O 30 30 = 2502 + 45
O 30-45x+250
Answer:
Part A. It will take him 7 months
Part B. The equation is 30 - 45x + 250
Step-by-step explanation:
Part A. the answer is 7 because in 6 months Matthew will have $225 and if you add 30 you get $255.
Part B. It's the answer because its the only one that makes sense. 250 = 450 + 30. Its 45 not 450. 250 = 30.2 + 45. It's 30 not 30.2 and 30 30 well 30 30 doesn't make sense either.
P.S Can I have brainliest?
need help!! plzz help asap
Answer:
answer is 12
Step-by-step explanation:
because 5×4=20
so u have to multiply 4 and three
3×4=12
and u can reduce it to
6/10 and reduce it again to
3/5
it is claimed that in a bushel of peaches more than ten percent are defective. a sample of 400 peaches is examined and 50 are found to be defective. what is the p-value? 0.0500 0.0250 0.0485 0.4525
The p-value is option (A) 0.0500
Under the null hypothesis, the expected number of defective peaches in the sample of 400 would be:
p = 0.10 (since the null hypothesis assumes a maximum of 10% defective peaches)
n = 400
expected number of defective peaches = np = 0.10 x 400 = 40
We can then use the binomial distribution to calculate the probability of getting 50 or more defective peaches in a sample of 400, assuming that the null hypothesis is true.
P(X ≥ 50) = 1 - P(X < 50)
where X is the number of defective peaches in the sample, assuming the null hypothesis is true.
Using a binomial calculator or a statistical software, we can find:
P(X < 50) = 0.3081
Therefore,
P(X ≥ 50) = 1 - P(X < 50) = 1 - 0.3081 = 0.6919
This is the p-value of the hypothesis test. Since this is a one-tailed test , we can compare the p-value to the significance level, α. If α = 0.05, then the p-value is greater than α, which means we fail to reject the null hypothesis.
Therefore, the correct answer is A. 0.0500.
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The volume of a rectangular prism with a length of x meters, a width of x − 1 meters, and a height of x 11 meters is no more than 180 cubic meters. what are the possible values of the length? (−[infinity], −9) ∪ (−5, 4) (0, 4) (1, 4) [1, 4)
The possible values of the length (x) are in the intervals are (-∞, -9) ∪ (-5, 4) ∪ (0, 4) ∪ (1, 4).
Given that:
The dimensions of the rectangular prism are:
Width = x - 1 meters
Height = x + 11 meters
Volume ≤ 180 cubic meters
The inequality based on the volume can be written as:
Volume = (length) × (x - 1) × (x + 11) ≤ 180
The above inequality can be solved to find the possible values of the length (x).
The equations can be solved as:
Volume = x(x - 1)(x + 11) ≤ 180
\(x^3 + 10x^2 - x - 180 \le 0\)
The values of x that satisfy this inequality can be calculated by checking the given possible options, (-∞, -9), (-5, 4), (0, 4), (1, 4), [1, 4).
For x = -10 (test point in the interval (-∞, -9)):
f(-10) = \((-10)^3 + 10(-10)^2 - (-10) - 180\)
= \(-1000 + 1000 + 10 - 180\)
=\(-170\)
Since this is negative, the inequality is satisfied in the interval (-∞, -9).
For x = 0 in the interval (-5, 4):
f(0) = \(0^3 + 10(0)^2 - 0 - 180\)
=\(-180\)
Since this is negative, the inequality is satisfied in the interval (-5, 4).
The test interval for x = 3 in the interval (0, 4):
f(3) = \(3^3 + 10(3)^2 - 3 - 180\)
= \(-66\)
Since this is negative, the inequality is satisfied in the interval (0, 4).
For x = 2 (test point in the interval (1, 4):
f(2) = \(2^3 + 10(2)^2 - 2 - 180\)
=\(8 + 40 - 2 - 180\)
= \(-134\)
Since this is negative, the inequality is satisfied in the interval (1, 4).
For x = 5 (test point in the interval [1, 4):
f(5) = \(5^3 + 10(5)^2 - 5 - 180\)
=\(125 + 250 - 5 - 180\)
= \(190\)
Since this is positive, the inequality is not satisfied in the interval [1, 4).
The possible values of the length (x) are in the intervals are (-∞, -9) ∪ (-5, 4) ∪ (0, 4) ∪ (1, 4).
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what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x
Answer:
Well the correct answer is −4x+28... But I don't
see that as one of your options. :/
Simplify:
18−2(x+x−5)
Distribute:
=18+(−2)(x)+(−2)(x)+(−2)(−5)
=18+−2x+−2x+10
Combine Like Terms:
=18+−2x+−2x+10
=(−2x+−2x)+(18+10)
=−4x+28
Answer:
−4x+28
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}\)Option D is the correct option.
Step-by-step explanation:
18 - 2 [ x + ( x - 5 ) ]
Remove the unnecessary Parentheses
⇒18 - 2 [ x + x - 5 ]
Collect like terms
⇒18 - 2 [ 2x - 5 ]
Distribute 2 through the parentheses
⇒18 - 4x + 10
Add the numbers
⇒28 - 4x
Hope I helped!
Best regards!!
hey guys i need help with this
Fraction form?
Answer:
86,585 \(\frac{15}{41}\)
Step-by-step explanation:
\(10^{6}\) = 1,000,000
\(10^{1}\) = 10
~~~~~~~~~~~~~~~~~~~~~~~~~
7.1 * 1,000,000 = 7,100,000
8.2 * 10 = 82
~~~~~~~~~~~~~~~~~~~~~~~~~
7,100,000/82 or \(\frac{7,100,000}{82}\) or 86,585 \(\frac{15}{41}\)
~~~~~~~~~~~~~~~~~~~~~~~~~
P.S. I'm pretty sure this answer is late.
a process capability index has been calculated for a stable, non-automated process, then the operator is told to check samples at random and make centering adjustments to the process based on the sample readings. based on this information one would expect to find:
The process capability index gauges how much variance a process encounters in comparison to its specification parameters.
We might compare various procedures in terms of the ideal circumstance or whether they live up to our expectations. In the event that the process is not centered, the capability ratio formula is employed.
Process capability uses capability indices to compare an in-control process output to the specification's upper and lower bounds.
Calculated for steady, non-automated processes is the process capability index. The operator is then instructed to check samples at random and center the process.
The processing capability declined.
One would expect to find that the process capability has gotten worse.
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out of each 100 products, 96 are ready for purchase by customers. if you selected 27 products, what would be the expected (mean) number that would be ready for purchase by customers? group of answer choices 96 0.96 27 26
The expected number of products that would be ready for purchase by customers would be approximately D: 26.
Out of each 100 products, 96 are ready for purchase, so the proportion of products that are ready for purchase is 96/100 = 0.96. If you select 27 products, we can use this proportion to calculate the expected (mean) number of products that would be ready for purchase by customers:
0.96 * 27 = 25.92
So, the expected number of products that would be ready for purchase by customers would be approximately 26.
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What i the domain of thi relation? (4, – 3) ( – 3, – 10) ( – 5,5) (9, – 2) (9, – 1)
On solving the provided question, we can say that - domains and ranges are - domain =\({2,5,8,11,14,17}\) and range =\({1}\) and \(domain ={2,4,6,8,10,12,14} and range ={1,2,3,4,5,6,7}\)
What is domain and range?range and domain. The range of values that can be entered into a function are referred to as its domain. The x-values of a function like f are represented in this collection (x). The collection of values that a function can accept is referred to as its domain. Following the insertion of the x value, the function produces this value set.
\({(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)}\)
Every input has a single output, proving that it is a function.
The components in the domain of the provided relation are therefore 2,5,8,11,14, and 17.
domain =\({2,5,8,11,14,17}\) and range =\({1}\)
\({(2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)}\)
Every input has a single output, proving that it is a function.
Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.
\(domain ={2,4,6,8,10,12,14} and range ={1,2,3,4,5,6,7}\)
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solve the inequality
h-(-2)≥10
Let's solve your inequality step-by-step.
h−(−2)≥10
Step 1: Simplify both sides of the inequality.
h+2≥10
Step 2: Subtract 2 from both sides.
h+2−2≥10−2
h≥8
Answer:
h≥8
(Pls mark brainliest)
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
The given inequality is:
h -(-2) ≥ 10
Simplify the left hand side
h + 2 ≥ 10
Subtract 2 from both sides of the inequality
h + 2 - 2 ≥ 10 - 2
h ≥ 8
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
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Solve the problems.
Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at
least $18.25 to buy the scrapbook. Each sheet of paper costs $0.34. How many sheets
of paper can she buy?
9514 1404 393
Answer:
at most 63
Step-by-step explanation:
The inequality Jody can use to determine the number of sheets (s) of paper she can buy will be ...
18.25 + 0.34s ≤ 40
0.34s ≤ 21.75
s ≤ 21.75/0.34 ≈ 63.97
Jody can buy up to 63 sheets of paper.
n^2 + 7n + 10 factor
Answer:
the answer is (n+2) (n+5)
Step-by-step explanation:
Factor n^2 + 7n + 10 using the AC method.
If f(x)=3x²-4 and g(x)= x+2, find (f - g)(x).
please give brainliest
Answer:
To find (f - g)(x), we need to subtract g(x) from f(x).
Given:
f(x) = 3x² - 4
g(x) = x + 2
To find (f - g)(x), we subtract g(x) from f(x):
(f - g)(x) = f(x) - g(x)
Substituting the given functions into the equation, we have:
(f - g)(x) = (3x² - 4) - (x + 2)
Now, simplify the expression by combining like terms:
(f - g)(x) = 3x² - 4 - x - 2
= 3x² - x - 6
Therefore, (f - g)(x) = 3x² - x - 6.
PLEASE SOMEONE HELP MEEEE I AM LITERALLY FRYING NY BRAIN. NO LINKS OR I WILL REPORT YOU... PLEASE AND THANKS
Answer:
1. True
2. False
3. True
4. False
Step-by-step explanation:
︎help me please ineed it asap thankyou
Step-by-step explanation:
Hindi ko poh alam ✌️
in the _____ theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.
According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.
Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
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