Answer:
second choice
Step-by-step explanation:
4* 5\(\frac{2}{3}\) = 4 * 17/3 = 68/3 = 22 2/3
Answer:
108/3 or 22 2/3
Step-by-step explanation:
Bob went on 8 hikes.
The hikes were: 2 miles, 5 miles, 1 miles, 5 miles, 1 miles, 2 miles, 3 miles, 4 miles
What was the range of the lengths of Bob's hikes?
2 miles
3 miles
4 miles
5 miles
The range is the difference between the longest hike and the shortest hike.
Longest = 5
Shortest = 1
Range = 5-1 = 4 miles
What is the value of of the expression below if b = -3 and a = 5?
Answer: -170
Step-by-step explanation:
-4(2(-3)+7(5))-6(-3)^2
-4(-6+35)-6(9)
-4(29)-54
-116-54
-170
Answer:
-170
Step-by-step explanation:
-4(2(-3) + 7(5)) - 6(-3)^2
-4 ( 29) -54
-116-54
-170
PLEASE ANSWERE ASAP
In △XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
AC = 7, AB = 5, and XY = 24. What is the perimeter of △XYZ?
Enter your answer in the box.
Answer:
AB = ½XZ. XZ = 5*2=10. (The middle line of the triangle)
AC = ½YZ. YZ = 7*2=14. The middle line of the triangle)
XY+YZ+XZ=P. P=110+14+24.P=48
Step-by-step explanation:
\(-a-\frac{7}{8} a\)
paso a paso
Step-by-step explanation:
-a-7a/8
-8a-7a/8
-15a/8
Hope it helps you
Answer:
Step-by-step explanation:
WE have to find the least common denominator and it is 8
\(-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\\)
Factorise 3x²+5x-12
Show working out
hi <3
i'm not sure of which method you will have been taught but i'll try to explain the method i was shown.
so, you need to multiply the coefficient of x^2 by the last value
3 x -12 = -36
now, you need to find two values that multiply to make -36 but add to make 5.
9 and 4 would work. it would have to be positive 9 and negative 4, as these would subtract to give the 5 that you need
now we have:
(x - 4)(x + 9)
however, we need to achieve the 3 from somewhere so it needs to be divided somewhere
9 is divisible by 3 so you can divide it there. as 4 cannot divide by 3, you would move the 3 up to be the coefficient.
thus, your final answer would be:
(3x - 4)(x + 3)
hope this helps :)
Answer:
it's gonna be 3(X*2 + 4X - 4)
Step-by-step explanation:
Just factor out 3 from the expression
under certain conditions, outdoor temperature over a 24-hour period may resemble a sinusoidal function. at one such location, the temperature is f at midnight. the high and low temperatures over the next 24 hours are, respectively, f and f. find a formula for a sinusoidal function that gives the temperature hours after midnight:
For the sinusoidal function that gives the temperature hours after midnight, the amplitude will be (f - f)/2 = |f - f|/2 = f/2
Let's start by finding the amplitude of the sinusoidal function. The amplitude is half the difference between the high and low temperatures:
amplitude = (f - f)/2 = |f - f|/2 = f/2
Next, we need to find the period of the sinusoidal function, which is the length of one cycle of the function. The period is 24 hours, since the temperature repeats itself every 24 hours.
Finally, we need to find the phase shift of the sinusoidal function, which is how many hours after midnight the function starts. Since the temperature is f at midnight, the phase shift is zero.
Putting all of this together, we can write the formula for the sinusoidal function as:
f(t) = (f/2)sin(2π/24(t-0)) + f
where t is the number of hours after midnight and f(t) is the temperature at that time.
Let's create a sinusoidal function that models the outdoor temperature over a 24-hour period.
To learn more about sinusoidal :
brainly.com/question/29571178
#SPJ11
What is the slope of the line that passes through the points (5, -2) and (-3, -4)?
A. 1/7
B. 1/4
C. 4
D. 7
Answer:
B. 1/4
Step-by-step explanation:
-4-(-2)/-3-5=
-4+2/-3-5=
-2/-8=
1/4
The tabletop of melba's dining room table is in the shape of a circle. if it has a radius of 2 1/2 feet, what is the area of her tabletop? for pi, use 22⁄7 to approximate your answer.
The formula for the area of a circle A = πr^2, where A is the area, π is the mathematical constant pi, and r is the radius.
In this case, the radius So, the area of the tabletop is:
A = πr^2
A = (22/7) x (5/2)^2
A = (22/7) x (25/4)
A = 550/28 radius is given as 2 1/2 feet, or 5/2 feet in fractional form.
A = 19 11/28 square feet
Therefore, the area of Melba's tabletop is approximately 19 11/28 square feet
To Know more about area of circle refer here
https://brainly.com/question/28642423#
#SPJ11
The sum of the ages of my 3 children is 45 years.
If their ages are consecutive odd integers,
how many years old is my oldest child?
A) 17
B)19
C) 21
D) 23
Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .
The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ x² + 2x + 1
Factorize the expression, then the factor of the expression will be
⇒ x² + x + x + 1
⇒ x(x + 1)x + 1(x + 1)
⇒ (x + 1)(x + 1)
⇒ (x + 1)²
The product of two binomials will be (x + 1) and (x + 1).
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
Miguel places his 13-foot ladder 5 feet from the edge of his house. How high does the ladder reach? A. 8 feet B. 12 feet C. 13.9 feet D. 144 feet E. 194 feet
Answer:
A - eight feet
Step-by-step explanation:
20 character rule can be dumb sometimes
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. The height of the house is 12 feet, then the correct option is B.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Miguel places his 13-foot ladder 5 feet from the edge of his house.
Then the height of the house is given by the Pythagoras theorem.
P² = H² - B²
P² = 13² - 5²
P² = 169 - 25
P² = 144
P = 12
Then the height of the house is 12 feet.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).
what is 9 4/9 dividedby 5/9
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Can you give me brainliest?
Which of the following has the same value as the expression below? 4−4⋅4−64−2
Answer:
0
Step-by-step explanation:
that what goggle told me
Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book? StartFraction 5 Over 121 EndFraction StartFraction 6 Over 121 EndFraction Five-elevenths Six-elevenths.
Answer: c . 6/121
Step-by-step explanation: 100% on edge
The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
ProbabilityGiven:
Beginner book=2
Intermediate book=6
Instructional piano books=11
Advanced books=3
Hence:
Probability=(2×3)÷(11×11)
Probability=6/121
Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ2
Select the correct answer. rational functions v and w both have a point of discontinuity at x = 7. which equation could represent function w? a. w(x) = v(x − 7) b. w(x) = v(x 7) c. w(x) = v(x − 7) 7 d. w(x) = v(x) 7
The following equation could be used to represent a function w:
= w(x)=v(x-7)+7
According to the information provided,
The point of discontinuity of rational functions is at x=7.
When a rational function has a point of discontinuity, it generally occurs when,
q(x) = r(x-a), where x = a
In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)
If we know that a=7 and k=7.
The equation which can represent w is as follows,
w(x) = v ( x-7 ) + 7
A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.
Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.
To learn more about rational function
brainly.com/question/27914791
#SPJ4
HELP HELP HELP ASAP please
Answer:
i think it might be number 1
Step-by-step explanation:
In 2020 each plum tree produced 37.7 kg of plums. This was 16% more then in 2019.
Calculate the mass of plums produced by each plum tree in 2019
Please help TYSM
Let's denote the mass of plums produced by each plum tree in 2019 as x kg.
According to the given information, in 2020 each plum tree produced 37.7 kg of plums, which was 16% more than in 2019.
Mathematically, we can express this relationship as:
x + 0.16x = 37.7
Simplifying, we get:
1.16x = 37.7
To solve for x, we can divide both sides of the equation by 1.16:
x = 37.7 / 1.16
Using a calculator, we find:
x ≈ 32.6724
So, the mass of plums produced by each plum tree in 2019 was approximately 32.6724 kg.
A triangle has a perimeter of 88 feet. The second side is 5 feet longer than the first. The third side is 3 feet longer than the first. What is the length of each side? (SHOW ALL WORK) Use the 5-D Process.
Is Figure B a scale copy of Figure A?
Answer:
No.
Step-by-step explanation:
The ratio of the lengths of the vertical sides from A to B is 2/4 which equals 1/2.
The ratio of the lengths of the horizontal sides of A to B is 4/11.
Since 4/11 is not equal to 1/2, figure B is not a scale copy of figure A.
simplify the numerical expression.
12 +6 ÷ 2
Answer:
12+3
Step-by-step explanation:
12+6÷2
6÷2=3
12+3
pemdas
Answer:
15
Step-by-step explanation:
Start by dividing 6÷2 which is 3
Then add 3 by 12 which gives you 15
What is the length of PR?A. 7B. 8C. 6D. 9
Giben the triangles:
ABC and PQR
Thiangle PQR is a reduction of triangle ABC, this means that the sides of triangle ABC were divided by a reduction factor to determine the side lengths of triangle PQR.
Using the lengths of sides AB and its correspoding side PQ you can calculate the used reduction factor k following the formula:
\(PQ=\frac{AB}{k}\)Using this relationship you can determine the value of the reduction factor
\(\begin{gathered} PQ=\frac{AB}{k} \\ k\cdot PQ=AB \\ k=\frac{AB}{PQ} \\ k=\frac{20}{5} \\ k=4 \end{gathered}\)The reduction factor is k=4
Now that we have determined the factor, we can calculate the length of PR as:
\(\begin{gathered} PR=\frac{AC}{k} \\ x=\frac{24}{4} \\ x=6 \end{gathered}\)The length of PR=6, so the correct option is C.
What is (gof)(x) if f(x) = 3x - 1 and g(x) = 4x² + 9?
Step-by-step explanation:
(gof)(x) is basically g(f(x))
= 4 × (3x - 1)² + 9
= 4 × (9x² - 6x + 1) + 9
= 36x² - 24x + 4 + 9
= 36x² - 24x + 13
Find the circumference of a circle with diameter, d = 28cm. give your answer in terms of pi .
The circumference of the circle with diameter d=28 cm is 28π cm.
The formula for finding the circumference of a circle is C = πd
where C is the circumference and d is the diameter.
Therefore, using the given diameter d = 28 cm, the circumference of the circle can be calculated as follows:
C = πd = π(28 cm) = 28π cm
The circumference of the circle with diameter d = 28 cm is 28π cm.
Circumference is a significant measurement that can be obtained through diameter measurement. To determine the circle's circumference with a given diameter, the formula C = πd is used. In this formula, C stands for circumference and d stands for diameter. In order to calculate the circumference of the circle with diameter, d=28 cm, the formula can be employed.
The circumference of the circle with diameter d=28 cm is 28π cm.
In conclusion, the formula C = πd can be utilized to determine the circumference of a circle given the diameter of the circle.
To know more about circumference of the circle visit:
brainly.com/question/17130827
#SPJ11
answer pls!! A 12 inch vertical post casts a 24 inch shadow at the same time a nearby flower casts a 49 inch shadow.
How tall is the flower?
2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much
See the attached picture:
Plz help!
The temperature in Albany, NY was 13 degrees below zero. The temperature in North Bergen, NJ was 7 degrees. What was the difference in temperature?
A. 6 degrees
B. 20 degrees
C. 14 degrees
Answer:
20
Step-by-step explanation: -13 to 7 think about that. We have to add 13 to make it 0. Then we add 7. So 13 plus 7 is 20. Enjoy :)
10. The distance of the point (a, b) from the origin is twice its
distance from the point (-1, -2). Find the relation between a
and b.
Answer:
b = 2a
Step-by-step explanation:
Find the solution for the system that satisfies the conditions at t = 0. y!1 = -13y1 + 56y2, y1(0) = 1
Y2 = -4y1 + 17y2, y2(0) = 1 (y1(t), y2(t))=
To find the solution for the given system of differential equations, we can use the initial conditions at t = 0 to determine the values of y1(0) and y2(0), which are both given as 1.
Using these initial conditions, we can solve the system of equations:
y1' = -13y1 + 56y2,
y2' = -4y1 + 17y2.
To solve this system, we can express it in matrix form:
Y' = AY,
where Y = [y1, y2] and A is the coefficient matrix:
A = [-13 56]
[-4 17].
The solution to this system can be found by diagonalizing the coefficient matrix A. Let's calculate the eigenvalues and eigenvectors:
The eigenvalues λ can be found by solving the characteristic equation det(A - λI) = 0, where I am the identity matrix:
det(A - λI) = (-13 - λ)(17 - λ) + 4*56 = λ^2 - 4λ + 8 = (λ - 2)^2 + 4.
Solving the characteristic equation, we get λ = 2 ± 2i.
For each eigenvalue, we can find the corresponding eigenvector by solving the system (A - λI)V = 0:
For λ = 2 + 2i, we have the eigenvector V1 = [4 - 2i, 1].
For λ = 2 - 2i, we have the eigenvector V2 = [4 + 2i, 1].
Now, we can write the general solution as:
Y(t) = c1V1e^(λ1t) + c2V2e^(λ2t),
where c1 and c2 are constants determined by the initial conditions.
Plugging in the initial conditions at t = 0:
Y(0) = c1V1 + c2V2 = [1, 1],
we can solve for c1 and c2: c1V1 + c2V2 = [1, 1].
Solving this system of equations, we can find the values of c1 and c2.
Finally, substituting the values of c1, c2, V1, V2, λ1, and λ2 into the general solution, we obtain the specific solution for the given initial conditions at t = 0: Y(t) = [y1(t), y2(t)].
To learn more about “differential equations” refer to the https://brainly.com/question/1164377
#SPJ11
12x > 72 please help me this is hard and upsetting
Answer:
x > 6
Step-by-step explanation:
Divide both sides by 12 to get x by itself
Answer:
The answer for this is x>6
Step-by-step explanation:
you need to get x by itself, so u take the 12 and instead of multiplying you need to divide to get it to the other side so 72÷12=6