Answer:
number to the right of 0 is 16
the number that is the least is -15
-15 is farther from 0 than -9 is
Step-by-step explanation:
Answer:
Answer:
number to the right of 0 is 16
the number that is the least is -15
-15 is farther from 0 than -9 is
Step-by-step explanation:
Hope it right cause..
Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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Find x when () = 2. Please explain step by step
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
Solve for x: -3x-3=-3(x+1)
Answer:
x= -6 broo
Step-by-step explanation:
Question 10 of 10
Check all that apply. If tane = 15/8,then:
A. csco =17/15
B. sece =17/8
C. cose =15/17
D. cote =8/15
If tan Ф = 15/8 then we have these trigonometric functions cosec Ф = 17/15, sec Ф = 17/8 and cot Ф = 8/15.
According to the question,
We have the following information:
Tan Ф = 15/8
We know that in this trigonometric function we have perpendicular divided by base.
Now, we can find the hypotenuse using the Pythagoras theorem:
Let's denote hypotenuse with h, perpendicular with p and base with b.
\(h^{2} =p^{2} +b^{2}\)
\(h^{2}\) = \((15)^{2} +(8)^{2}\)
\(h^{2} = 225+64\\h^{2} = 289\\h = \sqrt{289}\)
h = 17 units
Now, we have the following values:
Cosec Ф = 17/15 (Hypotenuse/perpendicular)
Sec Ф = 17/8 (h/b)
Cos Ф = 8/17 (b/h)
Cot Ф = 8/15 (b/p)
Hence, the correct options are A, B and D.
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Audrey has a house worth $120,000, a
mortgage of $65,000, savings of $4,000, a
car valued at $11,000, a $9,000 car loan, and
$2,500 in credit card debt. What is Audrey's
net worth?
answer the questions below to find the total surface area of the can
The total surface area of the tomato ketchup given in the diagram can be determined as follows:
The total surface area of a shape is the addition of the areas of its individual surface.
So that the questions can be answered as thus:
A. To find the area of the given circle;
i. Area of a circle = \(\pi r^{2}\)
where r is the radius of the circle.
area of the circle = π\((2.5)^{2}\)
= 6.25\(\pi\)
ii. There are two identical circles in the cylinder.
iii. The total area of all circles = 2(6.25\(\pi\))
= 12.5\(\pi\) square inches
B. To find the area of the rectangle;
i. one side of the rectangle is 5 inches.
ii. The other side of the rectangle = 2\(\pi\)r
= 2(2.5)\(\pi\)
= 5\(\pi\) inches
iii. The area of the rectangle = l x b
= 5\(\pi\) x 5
= 25\(\pi\) square inches
C. Total surfce area of the cylinder = 5\(\pi\) + 25\(\pi\)
= 30\(\pi\) square inches
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Answer:
Step-by-step explanation:
First box
6.25
2
12.5
------
Second box
------
5
5
25
------
Last box
------
37.5
4 4/5 divided by 3/10
Help
Answer:
16 is the answer
Step-by-step explanation:
4 4/5 x 10/3
Answer:
16
Step-by-step explanation:
4 4/5 / 3/10 =
24/5 / 3/10 =
24/5 x 3/10=
240/15 / 15/15 =
16
hope it helps , mark brainleist if u want and thx
Is this function? Please help
Answer:
Its a funcion if "x" doesnt repeat
Step-by-step explanation:
How far could the Apostle Paul walk in 4.5 hours if he walked an average of 4.3 kilometers per hour?
Answer 19.35 km
Step-by-step explanation:
We are looking for the Distance that Apostle Paul walked in 4.5 Hours!
I will be using the formula Distance=rate*time 1)
We DONT know the distance so I'll leave it as variable "D".
We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.
Set up the following equation. D=4.3*4.5 2)
Simplify the equation above: D=19.35
Convert from radians to degrees.
1/4π
1/4π radians is approximately equal to 45 degrees.
To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.
Degrees = Radians × 180/π.
Therefore, to convert 1/4π radians to degrees, we have:
Degrees = (1/4π) × (180/π) ≈ 45°
Hence, 1/4π radians is approximately equal to 45 degrees.
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Two rectangles of the same shape have areas of 676 and 3,457 square centimetres. If the shorter side of the larger rectangle is 41 centimetres, what are the dimensions of the smaller one?
The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.
Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).
We know that the area of the smaller rectangle is 676 square centimeters:
L * W = 676 ----(1)
We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.
The area of the larger rectangle is 3457 square centimeters:
41 * H = 3457 ----(2)
Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.
In order to find H, we can use equation (2):
H = 3457 / 41
H ≈ 84.22
Now we can substitute this value of H into equation (1):
L * W = 676
We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.
Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676
By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:
L = 13
W = 52
Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.
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find the area for this pls
Answer:
3,36 in^2
Step-by-step explanation:
The geometric shape shown in image is called a trapezoid
to calculate the area of a trapezoid we use the following formula:
1/2*(a+b)*h (a and b are bases, h: height)
bases are 1.3 and 3.5 and height is 1.4
1/2(1.3 + 3.5)*(1.4) = 3,36 the area is stated in square units so the answer is
3,36 in^2
Edgar has several different types of songs in a playlist. Suppose he plays a song at random from the playlist. How much greater is the probability that he plays a rock song than a hip hop song
The probability that he plays a rock song than a hip hop song is greater than 0.1. The Option B is correct.
How much greater is the probability?Probability helps to find out the likelihood of the occurrence of an event by measuring the chance of an event happening and is equal to the number of favorable events divided by the total number of events.
Given that:
Total of songs = 40
Prob (playing rock) = 15/40
Prob (playing hip-pop) = 11/40
How much greater probability he plays a rock song than a hip hop song will be:
= 15 / 40 - 11/40
= 15 - 11 / 40
= 4/40
= 1/10
= 0.1
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make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
the respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The standard deviation of the response time is 1.53 minutes.
What is the standard deviation of the response time?To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.
Z-score = z = (x - μ) / σ
For the lower bound of 10 minutes:
z = (10 - 13) / σ
For the upper bound of 16 minutes:
z = (16 - 13) / σ
As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.
Using z-scores, we set up equations:
(10 - 13) / σ = -1.96
(16 - 13) / σ = 1.96
Solving the first equation:
-3 / σ = -1.96
σ = -3 / -1.96
Solving the second equation:
3 / σ = 1.96
σ = 3 / 1.96
Dividing both sides by 1.96:
-3 / 1.96 = σ
1.53 = σ
Full question:
The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.
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Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=
Answer:
f(x +h) = 4x² +4h² +8xh +5x +5h +3
(f(x+h) -f(x))/h = 4h +8x +5
f'(x) = 8x +5
Step-by-step explanation:
For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.
F(x+h)Put (x+h) where h is in the function, and simplify:
f(x+h) = 4(x+h)² +5(x+h) +3
= 4(x² +2xh +h²) +5x +5h +3
f(x +h) = 4x² +4h² +8xh +5x +5h +3
Difference quotientThe difference quotient is ...
(f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h
= (4h² +8xh +5h)/h
(f(x+h) -f(x))/h = 4h +8x +5
LimitWhen h=0, the value of this is ...
f'(x) = 4·0 +8x +5
f'(x) = 8x +5
__
Additional comment
Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.
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Find the values of sine, cosine, tangent, cosecant, secant, and cotangent for the angle θ in standard position on the coordinate plane with the point (9,4) on its terminal side.
sin θ =
cos θ =
tan θ =
csc θ =
sec θ =
cot θ =
The values for the trigonometric functions for given coordinates are,
sin θ = 0.406, cos θ = 0.914,
tan θ = 0.444, cosec θ = 2.46,
sec θ = 1.04, cot θ = 2.25
What are trigonometric functions?The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Trigonometric formulas are used to determine the sine, cosine, tangent, secant, and cotangent values for the perpendicular side, hypotenuse, and base of a right triangle.
Given the standard position on the coordinate plane with the point (9,4)
x = 9 and y = 4
Start by sketching the related triangle and the terminal side in the standard position.
Calculate the hypotenuse's missing side using the Pythagorean Theorem.
so h² = 4² + 9²
h² = 16 + 81
h² =97
h = √97
so sinθ = y/h = 4/√97 = 0.406
cosθ = x/h = 9/√97 = 0.914
tanθ = y/x = 4/9 = 0.444
cosecθ = h/y = √97/4 = 2.46
secθ= h/x = √97/9 = 1.04
cotθ = x/y = 9/4 = 2.25
Hence values for functions are,
sin θ = 0.406, cos θ = 0.914,
tan θ = 0.444, cosec θ = 2.46,
sec θ = 1.04, cot θ = 2.25
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In Year 1, Kim Company sold land for $80,000 cash. The land had originally cost $60,000. Also, Kim sold inventory that had cost $110,000 for $198,000 cash. Operating expenses amounted to $36,000. Find Sales revenue: Cost of goods sold: Gross margin; Expenses; Operating expenses; Operating income; Non-Operating Items; Gain on sale of land; Net income?
As per the question Sales revenue is $198,000 (from the sale of inventory)
What is Sales revenue?Sales revenue, which is sometimes referred to as revenue from sales or just sales, is the entire sum of money that a business makes from the selling of goods or services to clients. It is one of the main revenue streams for the majority of businesses and is frequently used as a key performance indicator (KPI) to gauge a business's success.
Calculating sales income involves multiplying the quantity sold by the cost per unit. As an illustration, if a business sells 1,000 pieces of a product at $100 each, its sales revenue would be $100,000 ($100 x 1,000).
Sales revenue is a crucial indicator for businesses to monitor since it indicates how much demand there is for a company's goods or services.
According to question:
Cost of goods sold = $110,000 (the cost of the inventory that was sold)
Gross margin = Sales revenue - Cost of goods sold = $198,000 - $110,000 = $88,000
Expenses = Cost of goods sold + Operating expenses = $110,000 + $36,000 = $146,000
Operating income = Gross margin - Operating expenses = $88,000 - $36,000 = $52,000
Non-Operating Items = Gain on sale of land = $80,000 (the difference between the selling price and the original cost of the land)
Net income = Operating income + Non-Operating Items = $52,000 + $80,000 = $132,000
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Please help me!!!!!! I will give brainliest!!!!! Fast!!!!!7 students from a class of 10 are going to be chosen to be on the dance committee. Find the number of different 7-person committees that can be made
Answer:
5040
Step-by-step explanation:
7*6*5*4*3*2*1=5040
The correct number of different 7-person committees that can be made is,
⇒ 5,040
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
7 students from a class of 10 are going to be chosen to be on the dance committee.
Hence, the number of different 7-person committees that can be made is,
⇒ 7!
⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1
⇒ 5,040
Thus, The correct number of different 7-person committees that can be made is,
⇒ 5,040
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What is the square root of 0.327 up to 2 Decimal Places
Answer:
To find the square root of 0.327 up to 2 decimal places, you can use a calculator or mathematical software. The square root of 0.327 is approximately 0.57.
Say that the economy is in a recession, causing vehicle prices to drop by eight percent. If your car was previously worth $25,295, what is it worth now, to the nearest dollar? a. $23,851 b. $23,421 c. $23,271 d. $22,133
Answer:
c.
$23,271
Step-by-step explanation:
i took the same test on edg
The worth of the car will be $23,271 in the nearest dollar.
What is a recession in an economy?
A recession is defined as a severe fall in economic activity that lasts more than a few episodes of time and is reflected in real GDP, income, employment, economic growth.
So if an economy is in a recession and vehicle prices drop by eight percent.
Then, we have:
= $25,295 × 8%
\(\mathbf{= 25295 \times \dfrac{8}{100}}\)
= $2023.6
The price of a car that was previously worth 25,295 will be:
= $25295 - $2023.6
= $23271
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A puppy named Blue started out at 2 pounds and gained 4 pounds every month. How heavy
was Blue at 8 months old?
Answer:
34 pounds
Step-by-step explanation:
One month, Blue will be 6
Two month, Blue will be 10
Three month, Blue will be 14
Four month, Blue will be 18
Five month, Blue will be 22
Six month, Blue will be 26
Seven month, Blue will be 30
Eight month, Blue will be 34
By adding 4 every month, you will get 34
or
4 x 8 = 32
32 + 2 = 34
Sorry if my reasoning doesn't make sense-
Anyways, hopefully this helped! :D
-LavenderVye
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
What graph is the function y= -2 cos20
Answer:
Step-by-step explanation:
Please help with this math question!
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
New Hope School started with only 94 students. Now the school has grown to 750% of the original size. How many students are in school now?
94
x7.5
--------
705 students
Answer:
Use maths papa
Step-by-step explanation:
the weight of an apple is 150g, rounded to the nearest 5g. What is the lower bound of the weight of the apple?
What is the upper bound of the weight of the apple?
Answer:
1 answer
Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...
Step-by-step explanation:
Alexander spent $28 for 8 gal of gas. Decide if each statement about the ratio relationship is true or false. "Alexander has $45 and could fill his 13-gal tank"
True
False
Answer:
false
Step-by-step explanation:
he needs at least 45.5 to fill his 13 gallon tank.
Convert 17/97 to decimal using Long Division Method (round to 3 dp)
17/97 to decimal
17/ 97 = 0.175
Answer : 0.175
..
what are you guys studying?
Answer:
im study about history it was my favourite subject!