Answer:
2
Step-by-step explanation:
What you do to one side, you must do to the other.
When you add the 2 on one side of the = sign then you have to add the 2 on the other side. when you do that you will get 7 + 2. so the number in the green is 2. hope this helped a little!
help plsssssss !!!!!!
Answer:
936
Step-by-step explanation:
The table below shows the linear relationship between the number of weeks since birth and the weight of Samuel’s pet rabbit. Based on the table, what is the rate of change of the weight of the rabbit in pounds per week? Write your answer as a whole number or a decimal.
Answer:
1.75 is the answer
Step-by-step explanation:
Suppose our linear equation is y = k × tb
We need to substitute , 1.95 and 3.13 into y = k × tb
9.5 = ktb 3.5 = 2k ⇒ k = 1.75
13 = 3ktb 9.5 = 1.75tb ⇒ b = 7.75
Equation now equals y = 1.75 × tb
Rate of change of the rabbit per week: 1.75
1.75 is the answer
HURRY
Which expression is equivalent to -9x^-1y^-9/-15x5y^-3? Assume x ≠ 0, y ≠ 0
Answer:
\( \frac{-9x^-1y^-9}{ - 15 {x}^{5} {y}^{ - 3} } = \)
\( = \frac{3}{ {x}^{6 } {y}^{6}5} \)
Step-by-step explanation:
2nd one is the answer
Answer:
b
Step-by-step explanation:
How many meters in 25 yards?
Answer:
22.86 meters
Step-by-step explanation:
you find out how much is a meter which is 0.9144 now you multiply by how much yards you have and you get 22.86 meters
On converting 25 yards to meters the value is obtained as 22.86 meters.
What is length?
The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, the length and width of a rectangle define its dimensions. In the International System of Quantities, length is also a quantity with the dimension distance.
The base unit for length in the International System of Units (SI) system, is the metre and it is abbreviated as m.
Other units include mm, cm, km, inches, yards etc.
The formula for converting yards to meters is -
1 yard = 0.9144 meter
The length in yards is given as - 25 yards
Substitute the values in the equation -
Length in meter = Length in yard × 0.9144
Length in meter = 25 × 0.9144
Length in meter = 22.86 m
Therefore, the length in meter is 22.86 meters.
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.
Molly has lots of legos at home but is always looking for more. She found a
good deal online to buy more, enough to double her collection. Her mother
thought she had too many so she allowed her to keep a third of her legos
and made her donate the rest. In time, however, she was able to buy
sixteen less than three times her original amount. If she has 1634 legos
now, what was her original amount?
Answer:
495
Step-by-step explanation:
initial amount = x
donated = 2/3x
left with = 1/3x
bought = (3x-16)
total now = 1634
Therefore, (3x-16) + 1/3x = 1634
Multiply through by 3 = 9x-48+1x = 4902
10x = 4950
x = 495
need to talk to somebody pls and wzup
please help me thank you
Answer:
Step-by-step explanation:
1.x +y = 1 Yes
2. Power of variable e is 3. So, it is not a linear equation
No.
3) Great than symbol is there. No, it is not a linear equation.
4. 2x -y = 2x + 5
2x - y - 2x = 5
-y = 5 is not a linear equation with two variable.
No.
5. No.
1) (5,14) ; (19,7)
\(Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}\)
2) (-10 , 1) ; (-10 ,4)
x- coordinate is same for both the points. So, the line is parallel to y-axis
Slope = undefined
\(3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}\)
\(4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}\)
Compare with y = mx + b ; here m is slope
1. y = -2x - 8
slope = -2
2. x = 3
Line is parallel to y-axis.
So, slope = undefined
3.2x - y = 4
2x - 4 = y
y = 2x - 4
Slope = 2
4.) 2x + y - 5 = 0
y = -2x + 5
Slope = -2
There are 5 red markers, 2 orange markers, 3 yellow markers, and 5 green markers in a desk drawer.What is the probability of choosing a red marker?
Answer:
the probability is 5/12 or 0.416 or 41%
Step-by-step explanation:
Hope I helped!
$80000 was put in a fixed deposit dccount on 1st January, 2020 for 6 months. The rate of interest was 7.5% per annum. On 1st of July 2020, the total amount received was reinvested for a further 6 months at 7% per annum. Calculate the final amount received at the end of the year.
14,51257947855798659965
5n + 2m+4n
30m 30m
Simplify Each Expression
Answer:
5n+2m+3600nm^2
Step-by-step explanation:
hi please helpppppppp
Answer:
The answer is C
Step-by-step explanation:
Hope it helps:)))
Can i have brainy plzzz
from his house, duncan could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. it is 6 kilometers from duncan's house to his parents' house and a straight-line distance of 9 kilometers from his parents' house to his grandparents' house. how far is duncan from his grandparents' house? if necessary, round to the nearest tenth.
Duncan is approximately 10.8 kilometers away from his grandparents' house, if necessary, rounding to the nearest tenth.
Based on the given information, we can use the Pythagorean theorem to find the distance between Duncan's house and his grandparents' house. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance from Duncan's house to his parents' house (6 km) and the distance from his parents' house to his grandparents' house (9 km) form the two shorter sides of the triangle. To find the distance between Duncan's house and his grandparents' house, we will calculate the hypotenuse:
h² = 6² + 9²
h² = 36 + 81
h² = 117
h ≈ 10.8
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Duncan is approximately 6.7 km from his grandparents' house (rounded to the nearest tenth).
We can use the Pythagorean theorem to find the distance between Duncan's house and his grandparents' house.
Identify the triangle
In this problem, we have a right triangle with legs of 6 km (due north) and an unknown length (due east).
The hypotenuse is the straight-line distance of 9 km from his parents' house to his grandparents' house.
Apply the Pythagorean theorem.
The Pythagorean theorem states that a² + b² = c², where a and b are the legs of the triangle, and c is the hypotenuse. In this case, a = 6 km, b = unknown, and c = 9 km.
Solve for the unknown distance (b)
6² + b² = 9²
36 + b² = 81
b² = 81 - 36
b² = 45
b = √45
b ≈ 6.7 km.
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A cookie factory monitored the number of broken cookies per pack yesterday.
Answer:
Confidence Interval - 2.290 < S < 2.965
Step-by-step explanation:
Complete question
A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.
Solution
Given
n=50
x=23.33
s=2.6
Alpha = 1-0.80 = 0.20
X^2(a/2,n-1) = X^2(0.10, 49) = 63.17
sqrt(63.17) = 7.948
X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69
sqrt(37.69) = 6.139
s*sqrt(n-1) = 18.2
\(s\sqrt{\frac{n-1}{X^2 _{(n-1), \frac{\alpha }{2} } }\) \(\leq \sigma \leq s\sqrt{\frac{n-1}{X^2 _{(n-1), 1-\frac{\alpha }{2} } }\)
confidence interval:
(18.2/7.948) < S < (18.2/6.139)
2.290 < S < 2.965
Hi everyone I need help with this question on my maths test
help would be appreciated thanks
Answer:
the rotational symmetry of a rhombus is of the order 2
Step-by-step explanation:
hope it helps :)
4. Order the set of numbers from least to greatest: 164.8. 814 7 (5 points) 2 o 15 V64 88.14 V64.8 81 2 3. 814 64 o V64 . 3. 814 15 2 V64, 814 8
Answer:
For the answer to the question above,
the Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2
15 over 2, square root 64, 8 1 over 7, 8.14 repeating 14.
Step-by-step explanation:
Answer:
15 V64 88.14 V64.8 81 2 3. 814 64 o V64 . 3. 814 15 2 V64, 814 8
Step-by-step explanation:
Two trains start at the same time from the same station and move along straight tracks that form an angle of 36
∘
. One train moves at the rate of 45mph and the other at 52mph. How far apart are the trains at the end of 15 minutes. 7. Two observers, facing each other, are 15 km apart on a level plain. They are looking at a hot air balloon on the same vertical plane between them. They found out that the angles of elevation of the balloon with them are 48
∘
and 61
∘
respectively. Find the inclined distances from the balloon to each observer. 8. If the time is 8:00 am GMT, what is the time in the Philippines which is located 120
∘
east longitude? 9. Calculate the area of a spherical triangle whose radius is 5 m and whose angles are 40
∘
,65
∘
and 110
∘
10. The right spherical triangle has an angle C=90
∘
,a=50
∘
, and c=80
∘
. Find side b.
6. At the end of 15 minutes, the two trains are approximately 58.71 miles apart.
7.The inclined distances from the balloon to each observer is 16.659 km for first observer and 32.1675 km for second observer
8. The time in the Philippines, located 120° east longitude, is 8:00 am GMT + 8 hours, which is 4:00 pm local time.
9. The area of the spherical triangle is 15.2725 square meters.
10. Side b in the right spherical triangle is approximately 50.951°.
6. We can use the law of cosines to find the distance between the two trains after 15 minutes. The law of cosines states:
c^2 = a^2 + b^2 - 2ab * cos(C)
a = 45 mph
b = 52 mph
C = 36 degrees
Converting the time to hours:
15 minutes = 15/60 = 1/4 hour
Using the formula, we can calculate the distance:
c^2 = (45 mph)^2 + (52 mph)^2 - 2 * 45 mph * 52 mph * cos(36 degrees)
c^2 = 2025 + 2704 - 4680 * cos(36 degrees)
c^2 = 4729 - 4680 * cos(36 degrees)
c^2 ≈ 3443.28
Taking the square root of both sides:
c ≈ √3443.28
c ≈ 58.71 miles
7. Using trigonometry, we have:
tan(48°) = x / 15 (angle of elevation for the first observer)
tan(61°) = y / 15 (angle of elevation for the second observer)
Rearranging the equations, we get:
x = 15 * tan(48°)
y = 15 * tan(61°)
Calculating these values:
x ≈ 15 * 1.1106 ≈ 16.659 km
y ≈ 15 * 2.1445 ≈ 32.1675 km
8. The Earth rotates 360° in 24 hours, which means that each degree of longitude corresponds to 4 minutes of time difference.
120° * 4 minutes = 480 minutes
480 minutes / 60 = 8 hours
9. To calculate the area of a spherical triangle, we can use the formula:
Area = (A + B + C - π) * r^2
Converting the given angles to radians:
A = 40° * (π/180) ≈ 0.6981 rad
B = 65° * (π/180) ≈ 1.1345 rad
C = 110° * (π/180) ≈ 1.9199 rad
Substituting the values into the formula:
Area = (0.6981 + 1.1345 + 1.9199 - π) * 5^2
= (3.7525 - 3.1416) * 25
=0.6109 * 25
≈ 15.2725 square meters
10. In a right spherical triangle, the side opposite the right angle (side c) is the hypotenuse, and the remaining sides are labeled as a and b.
Given: C = 90°, a = 50°, and c = 80°.
To find side b, we can use the spherical Law of Sines:
sin(a) / sin(A) = sin(b) / sin(B)
Plugging in the values:
sin(50°) / sin(90°) = sin(b) / sin(80°)
Since sin(90°) = 1, we have:
sin(50°) = sin(b) / sin(80°)
Rearranging the equation:
sin(b) = sin(50°) * sin(80°)
Taking the inverse sine of both sides:
b = arcsin(sin(50°) * sin(80°))
Evaluating the expression:
b ≈ arcsin(0.7660 * 0.9848)
b ≈ arcsin(0.7546)
b ≈ 50.951°
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helpp plz: use inverse operations to write the inverse of f(x)= x/2 - 1
Answer:
f-1 (x) = 2x + 2
Step-by-step explanation:
f(x) = x/2 -1
y = x/2 -1
interchanging the position of x and y
x= (y-2)/2
2x =y - 2
y = 2x + 2
f^-1 (x) = 2x + 2
the 3 term of a G.P is 360and the 6 term is 1215. find the common ratio and the sum of the first term pls I need d answer quickly its urgent
Answer:
First term = 160
Common ratio = 3/2
Step-by-step explanation:
The 3rd term and the 6th term of a G.P are 360 and 1215
The terms are 3 terms apart so find the cube root of the ratio between the 6th and the 3rd term as;
\(\frac{1215}{360} =\frac{27}{8} \\\\\sqrt[3]{\frac{27}{8} } =\frac{3}{2} \\\\\\=\frac{3}{2}\)
The common ratio is : 3/2
To find the first term, divide the third term by the common ratio to get the second term then do that to the second term to get the first term
360 / 3/2
360 *2/3 = 240 -----2nd term
240/ 3/2
240 * 2/3 = 160 ------1st term
There are 12 eggs in a dozen. Write an algebraic expression for the number of eggs in d dozen.
Answer:
4d=48
Step-by-step explanation:
Plz I need urgent help
Find each angle measure.
Answer:
1. 47 degrees
2. 119 degrees
3. 97 degrees
4. 62 degrees
Step-by-step explanation:
1. Just subtract 180 by 133 and there's your answer
2. The lines are marked as parallel which causes the two angles listed to be equal
3. Subject 83 from 180 and that's it
4. Find the x value that makes the two equal. Then plug the x value in and this is your angle
HELP PLEASE!!!!!!!!!!!
Number 3 might be the right answer
What is the sign of f on the interval -5/2 < x <4
Please help ASAP
Answer:
I believe the answer is C.
Step-by-step explanation:
brainliest?? if correct
Answer:
:> hello friend
Step-by-step explanation:
Find the unknown sizes of angles in the following figure:
Answer:
angle x is 86
angle y is 38
Step-by-step explanation:
Dos números enteros suman 337 y su diferencia 43. ¿Cuál es el número mayor que hace cierta la premisa? AYUDA PORFA
Answer:
The largest number is 190.
Step-by-step explanation:
Given that,
Two whole numbers add up to 337 and their difference 43.
Let two whole number is x and y.
The sum of two whole number is
\(x+y=337\)
The difference of two whole number is
\(x-y=43\)
We need to calculate the numbers
Using equation (I) and (II)
\(x+y=337\)
\(x-y=43\)
Now, add the equations
\(2x=380\)
\(x=\dfrac{380}{2}\)
\(x=190\)
Put the value of x in equation (I)
\(190+y=337\)
\(y=337-190\)
\(y=147\)
The numbers are 190 and 147.
Hence, The largest number is 190.
Management by objectives is a management system that incorporates _____. Hedonism Equity theory Expectancy theory Cognitive dissonance theory Goal setting
Management by objectives (MBO) is a management system that incorporates goal setting as its central principle.
It emphasizes the establishment of clear, measurable objectives for individuals and teams within an organization, aligning their efforts with overall organizational goals and strategies. MBO provides a framework for performance management and evaluation, allowing managers and employees to work together to define objectives, set targets, and track progress towards achieving those goals.
The goal-setting aspect of MBO is supported by various theories and principles. Firstly, the concept of goal setting itself is a fundamental component of MBO. It is based on the idea that setting specific, challenging, and attainable goals can motivate individuals and enhance performance. The expectancy theory comes into play as well, as MBO assumes that individuals are motivated to achieve their goals when they believe that their efforts will lead to successful performance and desired central outcomes.
Additionally, cognitive dissonance theory suggests that MBO can help reduce cognitive dissonance by providing individuals with clear objectives and performance expectations, minimizing conflicts between their attitudes and behaviors. While hedonism and equity theory are not directly incorporated into MBO, they may indirectly influence individuals' motivation and satisfaction as they work towards their objectives within the MBO framework.
In summary, Management by Objectives (MBO) is a management system that revolves around goal setting. It incorporates various theories and principles such as goal setting theory, expectancy theory, and cognitive dissonance theory. By setting clear objectives, aligning efforts, and tracking progress, MBO provides a structured approach to performance management and encourages individuals and teams to work towards achieving organizational goals.
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use differentials to approximate the change in volume of a spherical balloon of radius 8 m8 m as the balloon swells to radius 8.2 m.8.2 m. (use symbolic notation and fractions where needed.)
To approximate the change in volume of a spherical balloon as the radius increases from 8m to 8.2m, we can use differentials. The volume of a sphere is given by the formula V = (4/3)πr^3.
Taking differentials of both sides, we have dV = 4πr^2 dr.
At r = 8m, we have dV ≈ 4π(8m)^2 (0.2m) ≈ 160π/3 m^3.
Therefore, the change in volume of the spherical balloon as the radius increases from 8m to 8.2m is approximately 160π/3 m^3.
To approximate the change in volume of a spherical balloon using differentials, we'll use the formula for the volume of a sphere (V) and differentiate it with respect to the radius (r):
V = (4/3)πr³
Now, let's differentiate V with respect to r (dV/dr):
dV/dr = d((4/3)πr³)/dr = (4πr²)
Next, we'll find the differential change in radius (dr) which is the difference between the initial radius and the final radius:
dr = 8.2 m - 8 m = 0.2 m
Now, we can approximate the change in volume (dV) using differentials:
dV ≈ (dV/dr) * dr = (4πr²) * dr
Plug in the given values of r = 8 m and dr = 0.2 m:
dV ≈ (4π(8)²) * (0.2) = (4π(64)) * (0.2) = 51.2π m³
So, the approximate change in volume of the spherical balloon as it swells from a radius of 8 m to 8.2 m is 51.2π m³.
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A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. the block is a rectangular prism with a length of 5 cm and a width of 4 cm. what is the height of the block of sugar maple? enter your answer in the box.
The density of an object is the ratio of the mass of the object to its volume. The height of the block of sugar maple is 6cm
Density of an objectThe density of an object is the ratio of the mass of the object to its volume. Mathematically;
Density = mass/volume
Given the following
Mass of block = 82.8grams
Density = 0.69g/cm^3
volume = lwh
Volume = 20h
Substitute
0.69 = 82.8/20h
20h = 82.8/0.69
20h = 120
h = 6cm
Hence the height of the block of sugar maple is 6cm
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6cm
Step-by-step explanation i can confirm that the answer is 6 ;}
What is the slope of the line with the equation Y= -7X +10
Answer:
-7
Step-by-step explanation:
The equation is y=mx+b
m indicates the slope
Allen is horrible at managing his money. For example, he
recently invested $100,000-part of it in a company that
makes "fish-flavored" chicken and the rest in a company
that makes spray-on vitamins. Somehow he managed to earn
a 3% profit on the fish-flavored chicken investment and 1%
profit on the spray-on vitamin deal. If Allen made a profit
of $2,600 from both investments, how much did he invest in
the fish-flavored chicken company?
Answer:
$80,000
Step-by-step explanation:
Define the variables:
Let x = "fish-flavored" chicken company investment (in dollars)
Let y = spray-on vitamins company investment (in dollars)
If Allen invested a total of $100,000:
⇒ x + y = 100000
Given:
3% profit on "fish-flavored" chicken investment 1% profit on pray-on vitamins investmentTotal profit = $2,600⇒ 0.03x + 0.01y = 2600
Rewrite the first equation to make y the subject:
⇒ y = 100000 - x
Substitute into the second equation and solve for x:
⇒ 0.03x + 0.01(100000 - x) = 2600
⇒ 0.03x + 1000 - 0.01x = 2600
⇒ 0.02x + 1000 = 2600
⇒ 0.02x = 1600
⇒ x = 80000
Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.
Bus Company A claims that it is typically on time 95% of the time While Bus
Company B has a record of being on time 47 days out of the 50 days that it
operates. Which bus company seems to be doing b
Therefore, based on the information given, it seems that Bus Company A is doing slightly better in terms of on-time performance.
Which bus company seems to be doing better?To determine which bus company seems to be doing better, we need to compare their on-time performance.
Bus Company A claims that it is typically on time 95% of the time. This means that out of 100 trips, it expects to be on time for 95 of them.
On the other hand, Bus Company B has a record of being on time 47 days out of the 50 days that it operates. This means that its on-time performance is:
47/50 = 0.94 or 94%
Comparing the two percentages,
we can see that Bus Company A claims to have a higher on-time performance (95%) than Bus Company B's actual on-time performance (94%). Bus Company B's on-time performance is based on actual data from 50 days of operation.
Therefore, based on the information given, it seems that Bus Company A is doing slightly better in terms of on-time performance.
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Complete question:
Bus Company A claims that it is typically on time 95% of the time While Bus
Company B has a record of being on time 47 days out of the 50 days that it
operates. Which bus company seems to be doing better?