Answer:
14
Step-by-step explanation:
f(x)=2x+7
f(4)=2(4)+7
=8+7
=15
f(-4)=2(-4)+7
=-8+7
=-1
f(4)+f(-4)
=15+(-1)
=14.
Answer:
25
Step-by-step explanation:
f (x)= 2x^2-7
Let x=4
f (4) = 2 ( 4)^2 -7
Exponents first
f(4) =2*16 -7
Multiply
f(4) =32 -7
Subtract
f(4) =25
Prove the formula that:
((∃x)(F(x)∧S(x))→(∀y)(M(y)→W(y)))∧((∃y)(M(y)∧¬W(y)))
⇒(∀x)(F(x)→¬S(x))
Step-by-step explanation:
Given: [∀x(L(x) → A(x))] →
[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for
arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof
technique.
Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
We need to show that the above expression is unsatisfiable (False).
¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))
∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))
E.I with respect to x,
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))
E.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b
U.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Since P ∧ Q is P, drop L(a) from the above expression.
(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Apply distribution
(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))
Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to
(L(b) ∧ H(a, b) ∧ ¬A(b))
U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace
¬A(b) in the above expression with ¬L(b). Thus, we get,
(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.
This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows
from the premise.
15
Find the area of the triangle.
35 cm
24 cm
Answer:
A =420 cm^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 24) * 35
A =420 cm^2
Answer:
The area of triangle is 420 cm ².
Step-by-step explanation:
Given : -Base of triangle = 24 cmHeight of triangle = 35 cmTo Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-Using Formula
Area of triangle = 1/2 × base × height
substitute the values into the formula
Area of triangle = 1/2 × 24 cm × 35 cm
multiply,
Area of triangle = 1/2 × 840 cm ²
Divide, we get
Area of triangle = 420 cm ²
Therefore, The area of triangle is 420cm².
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.
What is the approximate area of the triangle? Round to the nearest tenth.
Area of a triangle = One-1/2bh
Answer:
161.8cm²
Step-by-step explanation:
solve for height which is the opposite
opp=x
sin(theata)= opp./hyp.
sin23=x/30
x=30×sin23
x=11.72cm
height=opposite
height=11.72cm
base=adjacent
base=27.6cm
½of 27.6cm=13.8
13.8cm×11.72cm=161.74 (2d.p)
161.74 rounded to the nearest tenths= 161.7
I'm not sure if it's the answer but it's the closest thing to the options
Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside. Which expression represents the difference between the two temperatures?
Answer:
9-(-2) or 9+2
Step-by-step explanation:
To find the difference of something, subtract one value from the other. It become addition because two negatives make a positive
PLEASE HELP! I really need to get this right
Answer:
27.3
Step-by-step explanation:
27.3
Answer:
Plays a musical instrument
Top left
Plays a sport: 0.46
Plays a musical instrument
Top right
Does not Play a sport: 0.54
Does not play a musical instrument
Bottom Left
Plays a sport: 0.73
Does not play a musical instrument
Bottom right
Does not Play a sport: 0.27
Step-by-step explanation:
I hope this helps you! :D
Help meeeee and plz get it right
What is the solution to this inequality?
14 + x ≤ 26
Answer:
[tex]14 + x \leqslant 26 \\ x \leqslant 26 - 14 \\ { \tt{x \leqslant 12}}[/tex]
Find the equation of a line with a slope of −1/2 that passes through the point −4, 10
Answer:
y - 10 = -1/2(x + 4)
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables
m = -1/2
Point (-4, 10) → x₁ = -4, y₁ = 10
Step 2: Find
Substitute in variables [Point-Slope Form]: y - 10 = -1/2(x - -4)Simplify: y - 10 = -1/2(x + 4)Answer: [tex]y=-\frac{1}{2} x+8[/tex]
Step-by-step explanation:
An equation of a line can be in slope intercept form which is y=mx+b
m is the slope, b is the y intercept, x it the x coordinate, and y is the y coordinate. Since we know the slope is -1/2 and we know a x coordinate is -4 and a y coordinate is 10 we can sub them in and solve for the value of b.
[tex]y=mx+b\\10=(-\frac{1}{2})(-4)+b\\10=2+b\\10-2=2+b-2\\8=b[/tex]
The value of b is 8. We can now sub it in for our equation of the line. This time with x and y as variables.
y=-1/2x+8
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
A. 1/2 cups
Step-by-step explanation:
13/15 is close to 1
1/5 is a small amount
9/20 is just over 1/2
5/11 is just under 1/2
7/15 is just under 1/2
Estimate: 1 + 1/2 + 1/2 + 1/2 + a little = 2 1/2
He needs 3 cups, so he needs another 1/2 cup.
Answer: A. 1/2 cups
Answer:
it a 1/2
Step-by-step explanation:
look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
Answer:
the answer is b because -(-6) becomes 6 and 6 is greater than 3
Answer: B.
Step-by-step explanation: A. 45 is not less than or equal to 18. I got 45 because 2 negatives make a positive and I got 18 because it was in absolute value bars making it positive. B. 6 is greater than -3. I got 6 because it is in an absolute value bar. C. 32 is not less 28. I used the same steps I used on the others. D. 9 is not greater than or equal to 10.
If the following data were linearized using logarithms, what would be the
equation of the regression line? Round the slope and y-intercept of the
regression line to three decimal places.
х
y
1
1
13
N
55
3
349
4
2407
5 16,813
Answer:
the equation of the regression line will be 1
You deposit $10,000 in an account earning 4% interest compounded monthly. a. How much will you have in the account in 25 years? b. How much interest will you earn?
Answer:
In 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.
Step-by-step explanation:
Given that I deposit $ 10,000 in an account earning 4% interest compounded monthly, to determine how much will you have in the account in 25 years and how much interest will I earn, the following calculation must be performed:
10,000 x (1 + 0.04 / 12) ^ 25x12 = X
10,000 x (1 + 0.00333) ^ 300 = X
10,000 x 2.7137 = X
27,137.65 = X
Therefore, in 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.
If anyone can do this for me step by step i will give you 30 points please help me out
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
I need the answer. Please help me
C = 25 deg
a ≈ 10.72 ft
b ≈ 11.83 ft
Answer:
C = 25
a = 10.72
b = 11.83
Step-by-step explanation:
C:
Solve; 180 - (90 + 65)
a:
Tan(65) = a/5
Tan(65) * 5 = a
10.72 = a
b:
Cos(65) = 5/b
Cos(65) * b = 5
b = 5 / Cos(65)
b = 11.83
Hope this helps!
Is 4/pi rational or irrational?
Answer:
Pi is an irrational number, same is pi/4.
Step-by-step explanation:
Question 4 of 10
Which of the following formulas would find the lateral area of a right cylinder
with height equal to hand r as the radius?
A. LA = 2012 + 2q rh
B. LA = 20
C. LA = 2 r rh
D. LA = 27.12
SUBMIT
Answer:
LA = 2πrh
Step-by-step explanation:
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
The lateral area of a cylinder is the area of its surfaces excluding the area of its base and top
LA = 2πrh
A boat heading out to sea starts out at
Point A, at a horizontal distance of 796 feet
from a lighthouse/the shore. From that
point, the boat's crew measures the angle
of elevation to the lighthouse's beacon-light
from that point to be 10°. At some later
time, the crew measures the angle of
elevation from point B to be 4º. Find the
distance from point A to point B. Round
your answer to the nearest foot if
necessary.
The distance from point A to point B is about 1211 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the light house. At point A:
tan(10) = h / 796
h = 140.36 feet
At point B, let d represent the horizontal distance from B to light house:
tan(4) = 140.36/d
d = 2007 feet
The distance from A to B = 2007 - 796 = 1211 feet
The distance from point A to point B is about 1211 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
Encuentra el resultado de la ecuación mediante la formula general
Step-by-step explanation:
de hecho, la respuesta está en la imagen de arriba
Find the area of this circle. Use 3 for T.
Α = πη2
5 in
[?] in?
Hope this help!!!
Have a nice day!!!
Enlarge the triangle by scale factor 3
Answer:
The triangle will triple in size.
WHAT is the answer? Pls Time limit
Answer:
11 is the answer.....
Step-by-step explanation:
6x-15+39+90 = 180
Here is the problem
Answer:
65x + 115 = 180
65x = 65
_______
65
x = 1
Evaluate the expression:
3x + 2y when X=10 and y=4
Answer:
38
Step-by-step explanation:
3x + 2y when X=10 and y=4
3(10) + 2(4)
30 + 8
38
WHATS THE VOLUME OF THE TRIANGULAR PRISM???
Answer:
124.8 mi³
Step-by-step explanation:
volume is base area times height.
the base area is a triangle
baseline × triangle height / 2
At = 13×3.2/2
the prism height is 6
so, total volume is
13×3.2×6/2 = 124.8 mi³
Answer: 124.8 mi^3
Step-by-step explanation:
0.5*13*3.2=20.8
20.8*6=124.8
According to a bridal magazine, the average cost of a wedding reception for an American wedding is $8213. Assume that the average is based on a random sample of 450 weddings and that the standard deviation is $2185.a. What is the point estimate of the corresponding population mean
Answer:
Point estimate of the corresponding population mean = $8,213
Step-by-step explanation:
Given:
Average cost of a wedding reception (x) = $8,213
Total number of sample (n) = 450
Standard deviation = $2185
Find:
Point estimate of the corresponding population mean
Computation:
Average cost of a wedding reception (x) = Point estimate of the corresponding population mean
Point estimate of the corresponding population mean = $8,213
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer: C) Next year, 7 out of every 60 students will be taking music.
Step-by-step explanation:
A is wrong because it is an opinion which a table cannot prove.
B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.
C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.
D is incorrect for the same reason B is incorrect except this time it says 120.
What is the quotient of ? 2^4/2^-4
Answer:
[tex] \frac{ {2}^{4} }{ {2}^{ - 4} } \\ = {2}^{4} . {2}^{4} \\ = {2}^{8} \\ = 256[/tex]
Answer:
2⁸
Step-by-step explanation:
2⁴ ÷ 2⁻⁴ = 2⁸
if the bases are the same and you're dividing then you subtract the exponents
The probability distribution for the number of defects in a shipment of alarm clocks, based on past data, is given below. Find the expected number of defects in a shipment of alarm clocks.Number of defects, n: 0, 1, 2, 3, 4Probability of n defects: 0.82, 0.11, 0.04, 0.02, 0.01
Answer:
0.29
Step-by-step explanation:
Given :
n : ___ 0 _____ 1 ____ 2 ____ 3 ____ 4
P(n) : 0.82___ 0.11 ___0.04 _0.02 ___0.01
The expected number of defect in a shipment can be obtained using the expected value formula :
Expected value, E(X) = Σx*p(x)
Σx*p(x) = (0*0.82) + (1*0.11) + (2*0.04) + (3*0.02) + (4*0.01)
E(X) = 0.29
Hence, the expected number of defect in shipment is 0.29
what’s “24 increased by a number y is 41” as an equation?
Answer:
24 + y = 41
y = 17
Step-by-step explanation:
24 + y = 41
y + 24 = 41
y + 24 - 24 = 41 - 24
y = 17
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find
the probability that a blue marble will be drawn.
a. 1
1
7
C.
b.
1
d.
3
11
14
Please select the best answer from the choices provided
B
оооо
Answer:
3/14
Step-by-step explanation:
Probability = # of favorable outcomes / # of possible outcomes
Favorable outcomes = we want to find the probability of pulling a blue marble. There are 3 blue marbles so 3 is the number of favorable outcomes
Possible outcomes: to find the number of possible outcomes we simply find the total number of marbles
3 + 7 + 4 which equals 14
So possible outcomes = 14
We now plug in the values into the probability formula
The probability of pulling a blue marble is 3/14
Answer:
3/14
Step-by-step explanation:
you add the red marbles, blue marbles, and green marbles together, which equal 14. Out of the 14, there are only 3 blue marbles so it would be 3/14.
