Answer:
8262
Step-by-step explanation:
Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
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complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
Use the graph of the parabola to fill the table .
a) open upwards
b) Vertex: (-2, -1)
c) x intercept: -
d) the equation of the axis of symmetry is x = -2
Explanation:
a) The parabola opens upward
b) The vertex is the tip of the parabola.
The tip of the parabola is at ( -2, -1)
Vertex: (-2, -1)
c) The x intercepts are the values of x when the line crosses the x axis
The crosses the x axis at x = -1 and x = -3
x intercepts: -1 , -3
y intercept is the value of y when the line crosses the y axis
It crosses it at y = 3
y intercept: 3
d) The axis of symmetry is the value of y that causes the parabola to splitinto equal halves
It is also the value of te x coordinate of the vertex
At x = -2, the parabola can be split into two equally
Hence, the equation of the axis of symmetry is x = -2
What is the y-intercept of y = 3x-
2?
Answer:
-2
Step-by-step explanation:
y = mx + b
y = 3x - 2
y-intercept = b
A password with 6 characters is randomly selected from the 26 letters of the alphabet.
What is the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent?
We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.
What is probability?Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
The probability of an event can be calculated using the following formula:
Probability = Favorable Outcomes / Total Outcomes
The number of possible passwords is:
26 × 26 × 26 × 26 × 26 × 26 = 308,915,776.
The number of passwords with no repeated letters is
26P6 = 30,260,000.
The probability of a password having no repeated letters is
= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.
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What is 75% as a fraction
Answer:
\(\frac{75}{100}\)
Step-by-step explanation:
6. Y(3.5, 1), Z(-4, 2.5)
Please help
Answer:
Answer given below
Step-by-step explanation:
5. Root 104 = 10.1
10.1 x 0.5 = 5.05 miles
Pls help quick thank u
Answer:
i think it’s D
i hope i help you but if nop DO NOT FORGET STAY SAFE AT HOME
84.158 place value of 4 in the number below
Answer:
4= ones place
Step-by-step explanation:
Since it's a decimal
Answer:
ONES IS YOUR ANSWER
HOPE IT'S HELPFUL TO YOU
PLS MARK ME AS BRAINLIEST
The radius of a circle is 17 centimeters. What is the circle's circumference?
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
I need to find what f1 and f2 equals
Absolute value is defined as
\(|x| = \begin{cases}x & \text{if }x\ge0 \\ -x&\text{if }x<0\end{cases}\)
By this definition, we have
\(|2x-3| = \begin{cases} 2x-3 &\text{if }2x-3 \ge0 \\ -(2x-3) &\text{if }2x-3<0\end{cases}\)
or, after some simplifying,
\(|2x-3| = \begin{cases} 2x-3 &\text{if }x \ge\frac32 \\ 3-2x &\text{if }x<\frac32\end{cases}\)
So a = 3/2.
If x < 3/2, we get the second case:
\(f_1 = 1 + |2x-3| \\\\ f_1 = 1 + (3-2x) \\\\ \boxed{f_1 = 4 - 2x}\)
If x ≥ 3/2, we get the first case:
\(f_2 = 1 + |2x-3| \\\\ f_2 = 1 + (2x-3) \\\\ \boxed{f_2 = 2x-2}\)
A dolphin dives from the surface into the ocean at a rate of 6.2 feet per second estimate the approximate location of the dolphin after 25 seconds
The approximate location of the dolphin is 155 feet as it moves at the rate of 6.2 feet per second.
Rate in defined as the speed or the distance travelled by the dolphin in unit time.
rate or speed is calculated by dividing the distance travelled by the total time taken to cover that distance.The units of rate is given by unit of distance/unit of time .The units of rate are meter/second , miles/hour , feet/second etc..Velocity is defined as the rate in a specified direction. Velocity is a vector quantity while speed or rate is a scalar quantity.Given the rate of the dolphin is feet per second .
Time taken by the dolphin is 25 seconds.
∴ distance travelled is given by rate × time
Hence distance travelled is 6.2 × 25 = 155 feet
Therefore the approximate location is given by 155 feet from the starting point.
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The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 4 metres.
Work out d (rounded to 2 DP) when F=0.045 Newtons.
Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
Mrs. Sawyer is interested in a particular bracelet. Its original price was $37,260, but it is now marked down by 45%. What is the price of the bracelet now?
Answer: 20,493
Step-by-step explanation:
%45 off of $37,260 is the same as (45 x 45) / 100 which equals to: 16,767
Then do: 37,260 - 16,767 = 20,493
And there you have it! Hope this helps!!
Rewrite (123 + 456) + 789 using the Associative Law of Addition
Answer:
123 + (456 + 789)
Step-by-step explanation:
since this is an addition problem, the parenthesis don't matter, and they can be put wherever you want.
(123 + 456) + 789
123 + 456 + 789
(123 + 456 + 789)
123 + (456 + 789)
technically, any of these would work, but I think the kind of answer the problem is looking for is;
123 + (456 + 789)
Please answer this correctly without making mistakes
Answer:
1 pound 3.4 ounces
Step-by-step explanation:
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
Can you simplify thiss !
-2 - x
To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).
So, -2 - x simplifies to -2x - 2.
Let's simplify the expression -2 - x step by step:
Step 1: Start with the given expression: -2 - x.
Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).
Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.
Therefore, the simplified expression is -2x.
In summary, -2 - x simplifies to -2x.
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draw the graph of y=_3x_4
Answer:
I can’t tell if both number are positive, ones negative ect but here’s the answer if both are negativ, let me know if the numbers are negative or positive and I can come back and give ya the right answer! Xoxo
Step-by-step explanation:
suppose the mean GPA of BYU-Idaho students is 3.5 and the standard deviation is 0.7. It is well known that this distribution is left-skewed. A random sample of n = 81 students will be drawn.
The shape that represents the sample mean of the 81 students who are selected is; Approximately normal
What is the shape of the sampling distribution?When a distribution of data is defined as skewed, it means that it does not take the normal distribution's bell shape. Rather, it tends to distort with values either to the left or right of the center of the data.
Now, the Central Limit Theorem states specifically that the distribution of sample mean is normally distributed. It goes further to state that if the population values from which the sample originates is not normally distributed, the sample distribution will be normal. This effect will lead to increases as sample size increases.
Thus, we can conclude that the shape is normally distributed
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Complete question is;
Suppose the mean GPA of School A students is 3.5 and the standard deviation is 0.7 it is well known that this distribution is left-skewed. A random sample of n = 81 students will be drawn. What is the shape of the sampling distribution of the random variable ¯X. which represents the sample mean of the 81 students who are selected.?
- Left- skewed
- right-skewed
- approximately normal
- we cannot determine this from the information given.
e:
3) Find the value of x if RZ-2x+7 and SW= 5x-23
Applying the properties of the diagonal of a rectangle, the value of x is calculated as: x = 37.
How to Find the Value of x Using the Properties of the Diagonals of a Rectangle?A rectangle is a quadrilateral that has two equal diagonals which bisect each other, to form equal segment. Rectangle RSTW has two diagonals RT and SW, therefore:
2(RZ) = SW
Given the following:
RZ = 2x + 7
SW = 5x - 23
Plug in the values:
2(2x + 7) = 5x - 23
4x + 14 = 5x - 23
4x - 5x = -14 - 23
x = 37
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Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
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Х 8 А 3 D 4
PLEASE HELP
Answer:
X=4
Step-by-step explanation:
Please someone help me! I need someone to be quick ASAP!
Answer:
Whats? explication?? khe??
Answer:
Step-by-step explanation:
Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4
Answer:
Step-by-step explanation:
Work out the size of angle p.
97°
64°
р
49°
76
Answer:
You have not attached a picture of the triangle.
180 degrees complete a triangle so maybe if an angle is given + 90 degrees if its right angle then 90- other angle = angle p.
You would need to see if any other angles given and if not then you would need to see if any straight parallel lines or adjacent or even consecutive angles given if not then angle p could be worked out from a side given.
If its an opposite side and adjacent then we use shift Tan-1 side/side
If its an adjacent side and hypotenuse we use shift Cos-1 side/side
IF its an opposite and hypotenuse given we use shift Sin -1 side/side
At a local play production, 490 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $4600. If the combined number of $8 and $10 priced tickets sold was 6 times the number of $12 tickets sold, how many tickets of each type were sold?
PRICES COUNTS COSTS
8 e 8e
10 420-e-t 10(420-e-t)
12 t 12t
420 3920
system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29
First equation gives highlight%28t=70%29.
Second equation simplifies to e-t=140.
Substitution gives highlight%28e=210%29.
Quantity of $10 tickets by difference, highlight%28140%29
Divide. 14,032.8 ÷ 1,000 Enter your answer as a decimal in the box. HELP PLS
The answer of the expression as a decimal is 14.0328.
What exactly are expressions?
Expressions are mathematical phrases that can contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. They can also contain functions, powers, roots, and other mathematical symbols.
Expressions can be used to represent a wide range of mathematical concepts and calculations. They can be simple, like "3 + 4", or complex, like "sin(2x) / (x² + 1)". They can also include variables, which represent unknown values, and be used to solve equations and inequalities.
Now,
Dividing 14,032.8 by 1,000 gives:
14,032.8 ÷ 1,000 = 14.0328
Therefore, the answer of the expression as a decimal is 14.0328.
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14 points! PLEASE HELP!!!
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.
Use the functions f(x)=-x^2+8x-11 and h(x)=-x-7
h(8)-2*f(3)
This is called question #18 on the worksheet images.
Answer:
Step-by-step explanation:
h(8) = -8 - 7
h(8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
h(8) - 2 f(3) = -15 - 2(4) = -23
The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Functions f(x) = -x²+8x-11 and
h(x)=-x-7
h(-8) = -8 - 7
h(-8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
= h(8) - 2 f(3)
= -15 - 2(4)
= -23
Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
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wu = 5 (cos (15") + i sin (15))w2 = 3 (cos (45') + i sin (45-))What is wi. W2?Choose 1 answer:15 (cos (60") + i sin (60))15 (cos (30") + i sin (30))8 (cos (30") + i sin (30))8 (cos (60") + i sin (60))
From the information given,
w1 = 5(cos(15) + isin(15))
w2 = 3(cos(45) + isin(45))
Let A represent 15 degrees and B represent 45 degrees
To find w1 * w2, we would multiply each term in the first parentheses by each term in the second parentheses. We have
w1 * w2 = 5(Cos(A) + iSin(A)) * 3(Cos(B) + iSin(B))]
= 15[CosACosB + CosA * iSinB + iSinACosB + i^2SinASinB]
= 15[CosACosB + i(CosASinB + SinACosB) + i^2SinASinB]
= 15[CosACosB + i(SinACosB + CosASinB) + i^2SinASinB]
Recall, i^2 = - 1
Thus, we have
15[CosACosB + i(CosASinB + SinACosB) - SinASinB]
15[CosACosB - SinASinB + i(SinACosB + CosASinB)]
Recall the following trigonometric identities
Cos(A + B) = CosACosB - SinASinB
Sin(A + B) = SinACosB + CosASinB
By applying these identities, we have
15[Cos(A + B) + i(Sin(A + B)]
By replacing A with 15 and B with 45, we have
15[Cos(15 + 45) + i(Sin(15 + 45)]
= 15[(Cos60 + iSin60]
Option 1 is correct