Answers
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
Related Questions
537²×15.90²=74²
I know this looks like pythagorean theorem. But how do they teach this to high schooler?
Answers
Answer:
It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".
Step-by-step explanation:
Below is the first step to attempt solving the equation.
The little twos at the top of each number are called exponents. This means a number times itself.
So,
537*537=288,369
15.9*15.9=252.81
74*74=5476
Now, take the 288,369*252.81 to get a total of 72,902,566.89 .
Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.
Here's how you'd work it out on paper to show it isn't solvable.
(537*537)*(15.9*15.9)= (74*74)
(288,369)*(252.81)= 5476
72,902,566.89 ≠5476
So the answer would be:
Not solvable.
9) The angle A is found in quadrant 3, such that = − / . Determine the exact value of sec (Decimal answers using a calculator will not be accepted).
Answers
6) The inverse relation of the quadratic equation f(x) = (1 / 3) · x² - 3 · x + 5 is x = 4.5 ± √(3 · f(x) + 5.25).
7) The sum of the arithmetic series is s = ∑ [5 + 13 · (n - 1)], for n ∈ {1, 2, 3, ..., n}.
8) The common ratio of the geometric sequence is 2.
9) The exact value of sec A is - 13 / 12.
How to find the inverse of quadratic function and arithmetic sums and geometric sequences and trigonometric functions
6) In this problem we need to find the inverse relation of a quadratic equation by algebraic measures:
f(x) = (1 / 3) · x² - 3 · x + 5
3 · f(x) = x² - 9 · x + 15
3 · f(x) + 5.25 = x² - 9 · x + 20.25
3 · f(x) + 5.25 = (x - 4.5)²
± √(3 · f(x) + 5.25) = x - 4.5
x = 4.5 ± √(3 · f(x) + 5.25)
The inverse relation of the quadratic equation f(x) = (1 / 3) · x² - 3 · x + 5 is x = 4.5 ± √(3 · f(x) + 5.25).
7) According to the definition of the arithmetic sum, the sum is represented by the formula:
s = ∑ [a + r · (n - 1)], for n ∈ {1, 2, 3, ..., n} (1)
Where:
a - First term of the series.r - Change between two consecutive elements of the series.If we kwow that a = 5 and r = 13, then the sum of the arithmetic series is:
s = ∑ [5 + 13 · (n - 1)], for n ∈ {1, 2, 3, ..., n}
The sum of the arithmetic series is s = ∑ [5 + 13 · (n - 1)], for n ∈ {1, 2, 3, ..., n}.
8) Geometric sequences are generated by the following expression:
s = a · rⁿ ⁻ ¹, for n ∈ {1, 2, 3, ..., n}
Where:
a - First element of the series.r - Common ratioIn accordance with the statement, we find that:
32 = r¹⁰ / r⁵
32 = r⁵
r = 2
The common ratio of the geometric sequence is 2.
9) The exact value of the secant function can be found by means of this trigonometric expression:
sec A = 1 / cos A
sec A = 1 / (- 12 / 13)
sec A = - 13 / 12
The exact value of sec A is - 13 / 12.
RemarkExercise 9 is incomplete and poorly formatted. Correct form is shown below:
The angle A is found in quadrant III, such that cos A = - 12 / 13. Determine the exact value of sec A.
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Billy is selling candy bars to raise money for charity. He earns $10 selling 5 candy bars. He earns $12 selling 6candy bars.Create an equation that represents the total amount of money, y, in dollars, that Billy earns selling x candy bars
Answers
y = 11x
Explanation:
The amount earned selling 5 candy bars = $10
for 1 candy bar = $10/5
1 candy bar costs = $2
The amount earned selling 6 candy bars $12
The cost of 1 candy bar = $12/6
The cost of 1 candy bar = $2
From the above: in both scenarios, the cost of each candy bar was $2
If total amount of money earned = y
And number of candy sold = x
Then the equation:
total amount of money earned = number of candy sold × cost of each candy
number of candy sold = 5 + 6 = 11
y = 11 × x
y = 11x
Hence, an equation that represents the total amount of money, y, in dollars, that Billy earns selling x candy bars is y = 11x
A softball player hits a pitched ball when it is 4 feet above the ground. The initial velocity is 75 feet per second. Use the formula h=-16t^2+vt+s. How long will it take for the ball to hit the ground?
Answers
If the initial velocity is 75 feet per second, it will take approximately 5.125 seconds for the ball to hit the ground.
The given formula h= -16t²+vt+s represents the height (h) of an object thrown vertically in the air at time (t), with initial velocity (v) and initial height (s). In this case, we are given that the initial height of the softball is 4 feet and the initial velocity is 75 feet per second.
We want to find out how long it will take for the ball to hit the ground, which means we want to find the time (t) when the height (h) is 0.
Substituting the given values into the formula, we get:
0 = -16t² + 75t + 4
This is a quadratic equation in standard form, which we can solve using the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
Where a=-16, b=75, and c=4. Substituting these values into the formula, we get:
t = (-75 ± √(75² - 4(-16)(4))) / 2(-16)
t = (-75 ± √(5625 + 256)) / (-32)
t = (-75 ± √(5881)) / (-32)
We can simplify the expression under the square root as follows:
√(5881) = √(49121) = 711 = 77
So we have:
t = (-75 ± 77) / (-32)
Simplifying further, we get two possible solutions:
t = 0.5 seconds or t = 5.125 seconds
Since the softball player hits the ball when it is 4 feet above the ground, we can disregard the solution t=0.5 seconds (which corresponds to when the ball is at its maximum height) and conclude that it will take approximately 5.125 seconds for the ball to hit the ground.
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How many tenths are in one whole? How many hundredths in a whole?
pls do the work
Answers
10 tenths = 1 whole
(An easy way to think of this is like fractions 10/10= 1)
We will do the same for hundredths
0.01= 1 hundredth
100 hundredths = 1 whole (100/100= 1)
Solve the equation. Please help
Answers
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Step 1: Add 3/4 on both sides
We get
2y/3 = 1/12+3/4
We add fractions by calculating a common denominator, adjusting the numerators accordingly and adding them. See this in action below:
12 and 4 have a common multiple in 12 which will be our common denominator. Now, 1/12 does not need to be adjusted, but 3/4 becomes 3*3 / 3*4 = 9/12.
In total 1/12 + 9/12 = 10/12
So, we have 2y/3 = 10/12
Now we multiply both sides by 3, so that the 3 will cancel out the 3 in the denominator on the left side:
2y =30/12
Now we just need to divide by 2 and get the solution:
y = 15/12 = 3*5 / 3*4 = 5/4
Therefore the final answer is A:
The solution set is {5/4}
Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.
Answers
Answer:
\(\boxed {\boxed {\sf y= -7x -30}}\)
Step-by-step explanation:
We are asked to find the equation of a line, given a point and a slope.
We can use the point-slope formula:
\(y-y_1= m(x-x_1)\)
In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:
x₁ = -5 y₁= 5 m= -7Substitute the values into the formula.
\(y-5= -7 (x- -5)\)
\(y-5= -7(x+5)\)
We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.
First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.
\(y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35\)
5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.
\(y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30\)
The equation of the line is y= -7x+30.
\((15+23)+7=15+(_______+7)\)
Answers
Please help as fast as you can please!
Answers
Answer:
B
Step-by-step explanation:
Make 4 \(\frac{2}{5}\) an improper fraction. To do that multiply the denominator, 5 by 4, which gets you 20. Then add the numerator, 2, to get 22. put the original denominator back into the fraction, and you get \(\frac{22}{5}\) . If you divide that by \(\frac{2}{5}\) , you would get 11 because you divide the numerator and the denominators cancel each other out since they are both the same number, and 22 ÷ 2 = 11.
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answers
Answer:
x<3
Step-by-step explanation:
\( - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3\)
please help ! <3
Find the value of x.
Answers
Please help meeee!!!!!
Answers
Answer:
Now plot those points in graph and find intersection hope it helps you.......
Put the following statements into order to prove that the modus ponens is a valid argument form. Not all steps are correct or belong in the proof. Enter N for such steps.
1. Since the disjunction of an expression and its negation is always true, is a tautology. This completes the proof.
2. By the domination law, the last expression is always true. This completes the proof.
3. Using the rule , we rewrite the given expression as
4. To prove the validity of the modus ponens, we need to show that is a tautology.
5.
6. To prove the validity of the modus ponens, we need to show that is a tautology.
7.
8. We now use one of the rules of De Morgan:
9.
10.
11. We now reorder and re-associate the terms of the last expression by using the associative and commutative laws and apply the rule again:
12.
13. Using the rule , we rewrite the given expression as
14.
Answers
The prove that the modus ponens is a valid argument form in correct order is
To prove the validity of the modus ponens, we need to show that (p 5 9) 5 4 is a tautology: Using the rule p 4 q =7p ^ q, we rewrite the given expression as 13 Zp V-(p - 9) Vq = (~p V 9) ^ -(-p V9) ~(p ^ (p + 9)) Vq =-pV (p + 9) Vq 10 (p v q) - 4=-pv 9Vq We now use one of the rules of De MorganBy the domination law; the last expression is always true: This completes the proofUsing the rule p 7 q =7p V 4, we rewrite the given expression as 12 How to prove modus ponensThe complete question is given below:
1. ~p V -(p = q) Vq = (Tp Vq) v-(Tp V q)
2. Since the disjunction of an expression and its negation is always true, Zp V q) v-(-p V q) is a tautology: This completes the proof:
3. ~(p ^ (p + 9)) Vq =-pV (p + 9) Vq 10
4. Using the rule p 7 q =7p V 4, we rewrite the given expression as 12
5. ~(p ^ (p = 4) Vq =-pv-Wpv 9)Vq
6. To prove the validity of the modus ponens, we need to show that (p 5 9) 5 4 is a tautology:
7. We now reorder and re-associate the terms of the last expression by using the associative and commutative laws and apply the rule p v q = 7pV q again: N
8. To prove the validity of the modus ponens; we need to show that (p ^ (p 7 74 is a tautology:
9. (p v q) - 4=-pv 9Vq
10. Using the rule p 4 q =7p ^ q, we rewrite the given expression as 13
11. By the domination law; the last expression is always true: This completes the proof: 11
12 Zp V-(p - 9) Vq = (~p V 9) ^ -(-p V9)
13. We now use one of the rules of De Morgan:
14. (p ^ (p = 9)) - q =-(p ^ (p = 9)) V q
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please find the p-value
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The statistical analysis of the data using a two-sample t-test indicates;
(a) B. Yes, the Meters On data appears to have higher speeds
A. No, there does not appear to be any outlier
(b) H₀; \(\mu_{on}\) = \(\mu_{off}\)
H₁; \(\mu_{on}\) > \(\mu_{off}\)
The P-value for the test is about 0.037
What is a two-sample t-test?A two-sample t-test is used to determine if there is a difference between the means of two independent groups of data.
(a) The average of the data values are;
Ramp meters on;
\(\mu_{on}\) = (29+47+55+38+32+25+42+47+51+36+55+41+43+25+47)/15 ≈ 40.87
\(\mu_{off}\) = (25+25+43+35+36+31+48+37+19+29+22+40+36+50+40)/15 ≈ 34.4
The higher average value for the speed with the Ramp meters on indicates;
B. Yes, the Meters On data appears to have higher speeds
The five number summary are;
Ramp Meters On
Min = 25, Max = 55, Q₁ = 32, Q₂ = 42, Q₃ = 47
IQR = 47 - 32 = 15
Outlier = 47 + 1.5 × 15 = 69.5
32 - 1.5 × 15 = 9.5
Therefore, there are no outliers for the Ramp Meters On
Ramp Meters Off
Min = 19, Max = 50, Q₁ = 25, Q₂ = 36, Q₃ = 40
IQR = 40 - 25 = 15
Outlier = 40 + 1.5 × 15 = 62.5
25 - 1.5 × 15 = 2.5
Therefore, there are no outliers for the Ramp Meters Off data
(b) The null hypothesis is; H₀; \(\mu_{on}\) = \(\mu_{off}\)
The alternative hypothesis is; H₁; \(\mu_{on}\) > \(\mu_{off}\)
(c) The two sample t-test, can be obtained using the formula;
\(t_{cal} = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} ) } }\)
Where; \(\bar{x}_1\) = 40.87
\(\bar{x}_2\) = 34.40
s₁ = 9.91
s₂ = 9.20
n₁ = n₂ = 15
Therefore; \(t_{cal}\) = 1.8516. The degrees of 15 + 15 - 2 = 28, and the one-tailed hypothesis, indicates, using an online tool;
The p-value = 0.037328The p-value is less than 0.05, therefore, the result is significant.
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What is the volume of this rectangular prism?
Answers
Answer:
Step-by-step explanation:
385
Simplify your answer as much as possible.
Answers
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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22\5= how many /10?
44
22
11
Or
10
Answers
Answer:
the correct answer is 44
Step-by-step explanation:
22/5 = 4.4
44/ 10 = 4.4
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Samuel sets up a website where players can
buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
81 visitors purchased no costume.
17 visitors purchased exactly one costume.
2 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no
more than one costume as a fraction in simplest form.
Answers
Answer: 49/50
Step-by-step explanation:
81 + 17 + 2 = 10
98/100 = 49/50
The probability as a fraction in simplest form is 49/50.
Write 4–6 sentences explaining why it is important to have precise definitions in mathematics.
Answers
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answers
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
Perform the following steps to convert 8 years to days
Answers
Answer:
8 years is around 2,920 days
Step-by-step explanation:
Answer: 2920 days
Step-by-step explanation:
1 year = 365 days
8 years = ?
8 years x 365 days = 2920 days
Two angles of a triangle measure 12º and 40°.
What is the measure of the third angle of the triangle?
A. 38°
B. 48°
C. 128°
D. 308
Answers
Answer:
12+40= 52
180-52=128
Step-by-step explanation:
Angles in a triangle add up to 180
so if two sides are given , they must be added and subtracted from 180.
which gives us 180-52=128
Answer:
the angle is 128°
the right answer is C
Step-by-step explanation:
the angles of a triangle are always 180°
thus
the angle of the the triangle = 180° - (12°+40°)
= 180- 52° = 128°
15 A 45om long field is drawn a scale Icm to 9om Find the length of the dam drawing.
Answers
Answer:
The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.
Therefore, the length of the dam drawing is 5 cm.
Step-by-step explanation:
1. In 2009 the number of vehicle sales in the United States was 10,602 thousand and in 2013 it was15,884 thousand.a. Determine the average rate of change (slope) from 2009 to 2013.b. If x is the number of years since 2009 and f(x) is the number of vehicles sold, find theequation of the line through these two points.C. Assuming f(x) is a linear function, use the equation to predict the number of vehiclessold in 2016.
Answers
Answer:
• (a)1320.5 thousand per year
,• (b)f(x)=1320.5x+10602
,• (c)f(7)=19846 thousand
Explanation:
Sales in the year 2009 = 10,602 thousand
Sales in the year 2013 = 15,884 thousand.
(a)Average rate of change (slope) from 2009 to 2013.
\(\begin{gathered} =\frac{15,884-10,602}{2013-2009} \\ =\frac{5282}{4} \\ =1320.5\text{ thousand per year} \end{gathered}\)(b)If x is the number of years since 2009 and f(x) is the number of vehicles sold
When x=0, f(x)=10,602 thousand
The slope-intercept form of the equation of a line is: y=mx+b
\(\begin{gathered} 10602=1320.5(0)+b \\ b=10602 \end{gathered}\)The equation of the line through these two points is:
\(f(x)=1320.5x+10602\)(c)Number of vehicles sold in 2016.
2016-2009=7
Therefore, when x=7
The number of vehicles sold, f(x) will be:
\(\begin{gathered} f(7)=1320.5(7)+10602 \\ =19845.5 \\ \approx19846\text{ thousands vehicle} \end{gathered}\)What is 4589 rounded to the nearest thousand
Answers
Answer:
35000
Step-by-step explanation:
n 34519, the hundredth digit is 5 and so, rounding off 34519 to the nearest 1000 result in 35000.
Siven the graph below, which of the following statements is true?
5+
4
3
2
--5-4-3-2-1₁
1 1 1
-2
-3-
1
Mark this and return
2 3 4 5 X
KEN
O The graph represents a one-to-one function because every x-value is paired with only one y-value.
O The graph represents a one-to-one function because it is defined for all x-values.
O The graph does not represent a one-to-one function because it does not pass through the origin.
Save and Exit
Next
1.-—-.~. --—————-
G
Answers
old version of which the answer may be
7x-7/79 = 68x+8
Find X.
Answers
Answer:
\(7x - \frac{7}{79} = 68x + 8 \\ 7x - 68x = 8 + \frac{7}{79 } \\ - 61x = \frac{639}{79} \\ x = \frac{639}{79 \times ( - )61} \\ x = \frac{639}{ - 4819} \\ = - 0.132.......\)
Answer:
x = -639 / 4819 (x = -0.1326 [rounded])
Step-by-step explanation:
7x - 7/79 = 68x + 8
{subtract 7x from both sides to begin to isolate x}
7x - 7/79 = 68x + 8
-7x - 7x
- 7/79 = 61x + 8
{subtract 8 from both sides to isolate x}
- 7/79 = 61x + 8
- 8 -8
{8 = 632/79}
- 639 / 79 = 61x
{divide both sides by 61 to isolate x}
-639 / 79 = 61x
÷ 61 ÷61 \(-\frac{639}{79}\) ÷ \(\frac{61}{1}\) = \(-\frac{639}{79}\) * \(\frac{1}{61}\) = \(-\frac{639}{4819}\)
-639 / 4819 = x
(-639/4819 ≈ -0.1326 [rounded] )
{updates in bold}
Complete the point-slope equation of the line through (-5,7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis and (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis.
Answers
Answer:
The equation of line in point-slope form is: \(y-7 = -7(x+5)\)
Step-by-step explanation:
Given points are:
(x1,y1) = (-5,7)
(x2,y2) = (-4,0)
Point slope form of equation is given by:
\(y-y_1 = m(x-x_1)\)
Here m is the slope
The slope is calculated using the formula:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Putting the values we get
\(m = \frac{0-7}{-4+5}\\m = \frac{-7}{1}\\m = -7\)
Putting in the equation we get
\(y-y_1 = -7(x-x_1)\)
Putting (-5,7) in the equation
\(y - 7 = -7\{x-(-5)\}\\y-7 = -7(x+5)\)
Hence,
The equation of line in point-slope form is: \(y-7 = -7(x+5)\)
Answer:
Step-by-step explanation:
Two car services charge different rates. A charges .60 per mile plus 3.00initial charge B charges .75 per mile mile traveled . the situation is modeled bu this system where x is the number of miles traveled and y is the charge for that distance ,in cents. How many miles must each car travel for the charges to be equal and ehat is the charge for that distance
Answers
The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.
To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.
Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:
For car service A: y_A = 0.60x + 300 (in cents)
For car service B: y_B = 0.75x (in cents)
To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:
0.60x + 300 = 0.75x
Subtracting 0.60x from both sides:
300 = 0.15x
Dividing both sides by 0.15:
x = 300 / 0.15
x = 2000
Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:
y_A = 0.60(2000) + 300
y_A = 1200 + 300
y_A = 1500 cents or $15.00
So, when each car travels 2000 miles, the charges will be equal at $15.00.
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Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answers
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5