The question is down below please help
Answer:
last one
Step-by-step explanation:
Answer:
4 (6-k)
the bottom one
Step-by-step explanation:
the length of a rectangle is 4 times as long as its width. if its area is 100 square feet, what is the length of the rectangle?
Answer:
length = 20 feet
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
let width be w , then length is 4w
given A = 100 , then
4w × w = 100
4w² = 100 ( divide both sides by 4 )
w² = 25 ( take square root of both sides )
\(\sqrt{w^2}\) = \(\sqrt{25}\)
w = 5
width = 5 feet and length = 4 × 5 = 20 feet
The perimeter of the triangular park shown on the right is 12x - 6. . What is the missing length?
Answer:
8x - 4
Step-by-step explanation:
Perimeter is the sun of all side lengths. We know the perimeter and two side lengths, so on order to find the third, we need to subtract the first two lengths from the sum. After subtraction, we get 8x - 4.
Solve 6(1 − 3d) < 2(7d + 6) for d.
Answer:
e
Step-by-step explanation:
a
what is 3 1/6 divided by 1 3/8
The result of the division of dividend 3 1/6 by divisor 1 3/8 is computed as 76/33.
Define the method of division?A division method is the process used to divide something. According to the degree of difficulty, there are three different sorts of division procedures. These include the bus stop method, extended division method, and the chunking approach, often known as division by repeated subtraction.For the stated question;
The dividend is 3 1/6, which is given in mixed fraction.
In proper fraction; 3 1/6 = 19/6.
The divisor is 1 3/8 = 11/8.
Thus,
= 19/6 / 11/8
= 19*8 / 6*11
= 76/33
Thus, the result of the division of dividend 3 1/6 by divisor 1 3/8 is computed as 76/33.
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In a right triangle, if a = 8 ft and b = 15 ft, what is c?
Answer:
c = 17 ft
Step-by-step explanation:
c=a2+b2=82+152=17ft
Answer:
17
Step-by-step explanation:
a2+b2=c2
8^2+15^2=c2
64 + 225 = 289
√289 = 17
hope it helps :-)
Joe's Hot Dog Stand is only open for lunch. Of today's sales, 26% came from selling plain hot dogs. Since the hot dog stand made $45.50 from selling plain hot dogs, it made $_____
find the lateral area and surface area of a triangular prism with a height of 6 inches and a right triangular base with legs of 9 inches and 12 inches. round to the nearest tenth, if necessary.
Answer:
Lateral surface area is 216 in²Total surface area is 324 in²----------------------
Find the hypotenuse c of the base using Pythagorean theorem:
\(c=\sqrt{a^2+b^2}\)\(c=\sqrt{9^2+12^2} =\sqrt{81+144}=\sqrt{225} =15\)Lateral surface area, three rectangular faces, is:
LSA = Ph = (9 + 12 + 15)*6 = 36*6 = 216Find base area, the area of two right triangles:
A = 2*(1/2)(9)(12) = 108Find total surface area:
TSA = LSA + Base areasTSA = 216 + 108TSA = 324How many 1/2's are in 3 1/2? *
Answer:
Step-by-step explanation:
7
Answer:
7
Step-by-step explanation:
3.5 divided by .5
What will the image Q’ be after reflection on the y-axis, if Q(2, 5)
Answer:
Q'(-2 , 5)
Step-by-step explanation:
Note that:
1) When you are reflecting over the x-axis, you are changing the sign for the y.
2) When you are reflecting over the y-axis, you are changing the sign for the x.
In this case, you are reflecting over the y-axis. Change the sign of the x:
Q(2 , 5) ⇒ Q'(-2 , 5)
Q'(-2 , 5) is your answer.
~
(04.04 LC)
The functions f(x) = −2x + 30 and g(x) = 3x + 10 are shown in the graph.
graph of f of x equals negative 2 times x plus 30 and g of x equals 3 times x plus 10
Determine the approximate ordered pair for f(x) = g(x).
a
(4, 22)
b
(22, 4)
c
(4, 18)
d
(18, 4)
The approximate ordered pair for f(x) = g(x) is given as; (4, 22) from the graph. Option A
At what points are the solutions equal?We know that there are two equations that can be shown from the set of equations that have been written here and the set of equations that we have are;
f(x) = −2x + 30
g(x) = 3x + 10
We are now trying to see the points at which the equation can be said to be equal. This refers to the point where f(x) = g(x). How can we be able to obtain this point? If we are to get this point then we must go back and look at the graph very well.
As we are looking at the graph very well we should fix our eyes on any point where the line of two functions can be seen to intersect. Once that happens, we can say that we have reached the point where the two functions can be said to be equal. This point is read from the graph as (4, 22)
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Bill has 289 baseball cards. David has 362 baseball cards. They combine their card collection and then sell 117 of the cards.How many cards do they have left?
Answer:
They have 534 cards left
Step-by-step explanation:
you add 289 to 362then you subtract 117 from 651What are 4 sides shapes called?
The closed shapes with four sides are called quadrilaterals.
Quadrilateral is the closed which has four sides.All the four sides are connected to each other known as vertex.Two adjacent side with vertex forms a interior angle of the quadrilateral.If the opposite sides are parallel to each other then it is known as parallelogram.There are three main types of parallelogram.Rectangle, Square, Rhombus.Rectangle with opposite pair of sides parallel and congruent to each other.Square and Rhombus all four sides are congruent.If only one pair of opposite side parallel to each other then it is known as trapezium.Kite is also formed by four sides.Therefore, the four sides closed shape is known as quadrilateral.
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What is 15+3x5² ????
Answer: 90
Step-by-step explanation:
Bracket
Indices
Division
Multiplication
Addition
Subtraction
I: \(5^{2}\) = 5 x 5 = 25
M: 3 x 25 = 75
A: 15 + 75 = 90
Suppose the parallelogram JKLM has vertices:
J (2, 1)
K (7, 1)
L (6, −3)
M (1, −3)
Write each transformation in function notation and find the new coordinates of each point.
1. J' if the parallelogram is rotated counterclockwise 270° about the origin?
2. K' if the parallelogram is rotated counterclockwise 180° about the origin?
3. L' if the parallelogram is rotated counterclockwise 90° about the origin?
4. M' if the parallelogram is rotated counterclockwise 90° about the origin?
I NEED HELP
Answer:
1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)
2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)
3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)
4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)
Step-by-step explanation:
The coordinates of the vertices of the parallelogram are given as follows;
J(2, 1), K(7, 1), L(6, -3), M(1, -3)
1. We have, for a rotation of 270° counterclockwise about the origin we have
f(x, y) = (y, -x)
Therefore, we have for the vertices;
f(J(2, 1)) = J'(1, -2)
Therefore, we have the coordinates of J' as (1, -2);
2. We have, for a rotation of 180° counterclockwise about the origin we have
f(x, y) = (-x, -y)
Therefore, we have for the vertex point K;
f(K(7, 1)) = K'(-7, -1)
3. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point L;
f(L(6, -3)) = L'(3, 6)
4. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point M;
f(M(1, -3)) = M'(3, 1)
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer in the box.
A coordinate plane showing the first quadrant only with the title Amount Earned vs. Time Worked. The x axis is labeled Time in hours. It extends from 0 to 15 in increments of 1 hour. The y axis is labeled Earnings in dollars. It extends from 0 to 90 in increments of 5 dollars. A line passes through the origin and the following points. Begin ordered pair 3 comma 36 end ordered pair. Begin ordered pair 5 comma 60 end ordered pair. Begin ordered pair 6 comma 72 end ordered pair. Begin ordered pair 7 comma 84 end ordered pair.
Answer:
k = 12Step-by-step explanation:
One pair of coordinates is sufficient to work out the constant of proportionality.
Equation in general form:
y = kxand
Point (3, 36)Substitute x- and y- coordinates into equation and find the value of k:
36 = k*3k = 36/3k = 12Can you answer this, please?
Answer:
-x² + 13x + 2
Step-by-step explanation:
you are on ambitious level, and you cannot answer that yourself ? that is trivial. truly. no hidden traps, just straight forward adding and simplifying. what is the problem, please ?
-7x² + 6x² = -x²
5x + 8x = 13x
-1 + 3 = 2
Answer:
3rd option
Step-by-step explanation:
Given
(- 7x² + 5x - 1) + (6x² + 8x + 3) ← remove parenthesis
= - 7x² + 5x - 1 + 6x² + 8x + 3 ← collect like terms
= - x² + 13x + 2
in Mrs. Washington's class, there are 2 students in band for every
3 students in chorus. In Mr. Utley's class there are 5 students in band for every 7 students in chorus. Complete the ratio tables. Which class has a greater ratio of students in band to students in chorus?
Answer:
Here are the completed ratio tables for both classes:
Mrs. Washington's class:
Band: 2
Chorus: 3
Total: 2 + 3 = 5
Band-to-Chorus ratio: 2 : 3
Mr. Utley's class:
Band: 5
Chorus: 7
Total: 5 + 7 = 12
Band-to-Chorus ratio: 5 : 7
Based on the ratios, it appears that Mr. Utley's class has a greater ratio of students in band to students in chorus. The ratio in Mr. Utley's class is 5 : 7, while the ratio in Mrs. Washington's class is 2 : 3.
Step-by-step explanation:
Step-by-step explanation:
radius are a special form of fractions. but they are fractions, and a such all rules of calculation and comparison apply.
mrs. Washington's class has a ratio of 2/3 (or 2:3 or 2÷3).
2/3 = 0.666666666...
mrs. utley's class has a ratio of 5/7.
5/7 = 0.714285714...
so, the class of mrs. Utley had a greater ratio.
to compare the ratios (like any fraction) within calculating their decimal value, we need to bring them to the same denominator :
.../3 and .../7
we need to bring both to .../21 :
2/3 × 7/7 = 14/21
5/7 × 3/3 = 15/21
so, we can clearly see that the ratio of mrs. Utley's class is greater, as 15 is greater than 14.
For a set of scores, it was found that the mean score was 79 and the standard deviation was 17. If the distribution of scores is approximately normal, find the percentage of scores between: 45 and 113
(please show your work cause im hecka confused)
Answer:
95%
Step-by-step explanation:
In this question, it's important to note that the question states the distribution is a normal distribution, therefore we can use the Empirical Rule (68-95-99.7 rule).
The Empirical Rule, also known as the 68-95-99.7 rule, states that:
68% of data falls between ±1 standard deviation from the mean95% of data falls between ±2 standard deviations from the mean99.7% of data falls between ±3 standard deviations from the mean*Note that the Empirical Rule only works for normal distributions
We know that the mean, \(\mu\), is given as 79 and the standard deviation, \(\sigma\), is given as 17. Since the standard deviation is 17, 2 standard deviations must be \(2\sigma=2\cdot 17=34\) (and 3 standard deviations would just be 51).
We want to find the percentage of scores (% of data) that falls between the scores 45 and 113.
Notice that 45 is 34 less than the mean of 79 and 113 is 34 more than the mean of 79, therefore, the range of scores between 45 and 113 varies between ±2 standard deviations from the mean.
From the Empirical Rule, we can see that 95% of data falls between ±2 standard deviations in a normal distributions.
Thus, 95% of scores fall between 45 and 113.
A double-column enlarged-ends manometer is used to measure a small pressure differ- ence between the two points of a system conveying air under pressure, the diameter of U-tube being 1/10 of the diameter of the enlarged ends. The heavy liquid used is water and the lighter liquid in both limbs is oil of relative density 0.82. Assuming the surfaces of the lighter liquid to remain in the enlarged ends, determine the difference in pressure in millimetres of water for a manometer displacement of 50 mm. What would be the manometer reading if carbon tetrachloride (of relative density 1.6) were used in place of water, the pressure conditions remaining the same?
the number of people p that are contracting a new disease can be modeled by the population virus p of t equals 3725 divided by quantity 1 plus 1 and 72 hundredths times e to the negative 52 hundredths times t power end quantity comma where t is measured in days. at approximately what rate is the disease spreading on day 4?
Using the given exponential function,
The rate of the disease spreading is approx. 140 peoples per day affected.
let P be the number of people's that are contacting a new disease.
given exponential function about the new disease modeled by population is
P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)
where t is time measured in days
we want to calculate the rate of diseases spreading on day 4 i.e t = 4
putting the value t = 4 in above formula, we get
P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)
=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)
=> P(t=4) = 3725/(1 + 1.72× 0.124)
=> P(t = 4) = 3725/(1+ 0.2148)
=> P(t=4) = 3725/1.2148
=> P(t = 4) = 3066.14
Hence, after 4 days of diseases spread , total 3066 people's are affected from it .
rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75
so, rate of spreding diseases is 139.75 ~ 140 peoples per day .
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Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a
Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2 such that f'(c) = 0.
Given:
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.
f(x)=x^2−4x+8, [0,4]
when, x = 0
f(x) = x^2 -4x +8
f(0) = y = 0 - 0 + 8 = 8
when, x=4
f(5) = y = 16 - 16+8 =
thus, we have 2 points (0, 8) ; (4, 8)
slope,m = {8-(8)} / {4-0} = 0
hence, we have to calculate all the points,x where 0<x<8 and slope=0
f '(x) = 2x - 4 = 0
or, f '(c) = 2c - 4 = 0
c = 4/2 =2 ( 0<x<4)
hence, the there is only one solution c=2 which satisfies Rolle's theorem.
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Find the solution to the inequality -0.3x-5<6.7.
Answer:
x > -39
Step-by-step explanation:
-0.3x < 6.7 + 5
-0.3x < 11.7
divide by -0.3
Answer is x > -39
Consider the function:
f(x)=x−9/5x+6
Step 2 of 2 :
Evaluate f″(3)f″(3), f″(0)f″(0), and f″(−2)f″(−2), if they exist. If they do not exist, select "Does Not Exist".
To evaluate the second derivative of the function f(x) = (x - 9)/(5x + 6) at the points x = 3, x = 0, and x = -2, we first need to find the first derivative and then the second derivative. And the second derivative f''(x) of the function f(x) = (x - 9)/(5x + 6) is constantly equal to 0
Step 1: Finding the first derivative:
To find the first derivative f'(x), we apply the quotient rule. Let's denote f(x) as u(x)/v(x), where u(x) = x - 9 and v(x) = 5x + 6. Then the quotient rule states:
f'(x) = (u'(x)v(x) - v'(x)u(x))/(v(x))^2
Applying the quotient rule, we get:
f'(x) = [(1)(5x + 6) - (5)(x - 9)]/[(5x + 6)^2]
= (5x + 6 - 5x + 45)/[(5x + 6)^2]
= 51/[(5x + 6)^2]
Step 2: Finding the second derivative:
To find the second derivative f''(x), we differentiate f'(x) with respect to x:
f''(x) = [d/dx(51)]/[(5x + 6)^2]
= 0/[(5x + 6)^2]
= 0
The second derivative f''(x) is a constant value of 0, which means it does not depend on the value of x. Therefore, the second derivative is constant and does not change with different values of x.
Now, let's evaluate f''(3), f''(0), and f''(-2):
f''(3) = 0
f''(0) = 0
f''(-2) = 0
In summary, the second derivative f''(x) of the function f(x) = (x - 9)/(5x + 6) is constantly equal to 0 for any value of x. Hence, f''(3), f''(0), and f''(-2) all evaluate to 0.
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Help me plzz I need help with this !!!!!
Answer:
-60+30=(-30)
Step-by-step explanation: The whale was swimming 60 feet BELOW sea level. That's negative. Then it swims up 30 feet, that's positive. Add to get -30, since -60 is the greater number although not in value. you get -30, so move the dot up , and the whale is now 30 feet below the surface.
Please let me know if this helped.
Start a new sentence file and translate the following into FOL. Use the names and predicatespresented in Table 1.2 on page 30.1. Mar is a student, not a pet.2. Claire fed Folly at 2 pm and then ten minutes later gave her to Max.3. Folly belonged to either Max or Claire at 2:05 pm.4. Neither Mar nor Claire fed Folly at 2 pm or at 2:05 pm.5. 2:00 pm is between 1:55 pm and 2:05 pm.6. When Max gave Folly to Claire at 2 pm, Folly wasn't hungry, but she was an hourlater.
Claire fed Folly at 2 pm, gave Folly to Max at 2:10 pm. Folly belonged to either Max or Claire at 2:05 pm. Neither Mar nor Claire fed Folly at 2 pm or 2:05 pm. The event occurred between 1:55 pm and 2:05 pm. At 2 pm, Max took Folly from Claire. Folly wasn't hungry at 2 pm but was at 3 pm.
1. student(Mar) ∧ ¬pet(Mar)2. fed(Claire, Folly, 2pm) ∧ gave(Claire, Folly, Max, 2:10pm)3. (belongs(Folly, Max, 2:05pm) ∨ belongs(Folly, Claire, 2:05pm))4. ¬(fed(Mar, Folly, 2pm) ∨ fed(Claire, Folly, 2pm) ∨ fed(Mar, Folly, 2:05pm) ∨ fed(Claire, Folly, 2:05pm))5. between(2pm, 1:55pm, 2:05pm)6. ¬hungry(Folly, 2pm) ∧ hourLater(Folly, 2pm, 3pm)
1. Student(Mar) ∧ ¬Pet(Mar)2. Fed(Claire, Folly, 2pm) ∧ Gave(Claire, Folly, Max, 2:10pm)3. BelongsTo(Folly, Max, 2:05pm) ∨ BelongsTo(Folly, Claire, 2:05pm)4. ¬(Fed(Mar, Folly, 2pm) ∨ Fed(Claire, Folly, 2pm) ∨ Fed(Mar, Folly, 2:05pm) ∨ Fed(Claire, Folly, 2:05pm))
5. Between(2:00pm, 1:55pm, 2:05pm)6. Gave(Max, Folly, Claire, 2pm) ∧ ¬Hungry(Folly, 2pm) ∧ Hungry(Folly, 3pm)
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in geometry class there are 9 males and 11 females. what is the ratio of males to the total number of students
Answer:
9:20
Step-by-step explanation:
9 males
11 + 9 total people
9 : 20
If my answer is incorrect, pls correct me!
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-Chetan K
Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
Picture below has question/answer choices!!
The statements that is true about the similarity of the two triangles the option D
D. ΔMNO and ΔJKL are not similar triangles
What are similar triangles?Similar triangles are triangles which have proportional corresponding sides
The parameters in the question are;
The length of segment MN = 20
Length of segment NO = 12
Length of segment OM = 25
Measure of angle ∠O = 56°
Length of segment LJ =- 15
Length of segment JK = 12
Length of segment KL = 9
Measure of angle ∠L = 56°
Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included angle between the two sides are congruent
The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL
However, the ratio of the sides LK to ON and JL to MO are;
9/12 ≠ 15/25
Therefore, the triangles are not similar
The correct option is option D
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