Answers
Answer:
A = -23
Step-by-step explanation:
If B is directly between A and C, and C is 9 points above B, then A must be 9 points below B.
-14 - 9 = -23
Related Questions
Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, rounded to the nearest tenth.
Answers
The surface area of the square pyramid is: 451 cm²
The lateral surface area of the square pyramid = 330 cm²
What is the Lateral Surface Area and Surface Area of a Square Pyramid?Surface area = a² + 2al, where a is the base edge and l is the slant height.
Lateral Surface Area = 2al.
Given the following:
a = 11 cml = 15 cmSurface area = a² + 2al = 11² + 2(11)(15)
Surface area = 451 cm²
Lateral Surface Area = 2al = 2(11)(15)
Lateral Surface Area = 330 cm²
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The lateral and surface area of a square base pyramid with side length of 11 cm and slant height of 15 cm are 330 cm² and 451 cm².
Surface area of a pyramidsurface area = A + 1 / 2 ps
where
A = area of the basep = perimeter of the base s = slant heightTherefore,
surface area = 11² + 1 / 2 × (11 × 4) × 15
surface area = 121 + 1 / 2 × 44 × 15
surface area = 121 + 330
surface area = 451 cm²
Lateral area of a square pyramidlateral area = 1 / 2 ps
lateral area = 1 / 2 × 44 × 15
lateral area = 330 cm²
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Sams roller rink costs $3 to get into the rink and $1 for every hour. Brads roller rink costs $5 to get into the rink and $0.50 for every hour. For how many hours would the costs be the same?
Answers
Answer: 3 hours for sam’s and 2 hours for brad’s
Step-by-step explanation: 3 + 3 = 6 and 5 + 1 = 6
6 = 6 lol
A square piece of paper has an area of x2 square units. A
rectangular strip with a width of 2 units and a length of x
units is cut off of the square piece of paper. The remaining
piece of paper has an area of 120 square units.
Answers
Answer:
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Step-by-step explanation:
Area of square x^2
area of rectangle is given by length * width
Length of rectangular strip = x
width of rectangular strip = 2
area of rectangular strip = length * width = 2*x = 2x
Area of square piece of paper when rectangular strip is taken away from it
= Area of square - area of rectangular strip
= \(x^2 -2x\)
It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.
Thus,
\(x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\\)
Thus,
either x+10 = 0 or x -12= 0
x = -10 or x = 12
but length cannot be negative hence neglecting x = -10
hence value of x is 12.
Hence,
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Will mark brainiest for CORRECT answer!
Answers
ANSWER: y = (1/2)x - 1.
To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.
First, let's find the derivative of the function y = √(x - 3) using the power rule:
dy/dx = 1/(2√(x - 3))
Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:
m = dy/dx = 1/(2√(4 - 3)) = 1/2
So, the slope of the tangent line is 1/2.
Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:
y - y1 = m(x - x1)
Substituting the values (x1, y1) = (4, 1):
y - 1 = (1/2)(x - 4)
Simplifying the equation:
y - 1 = (1/2)x - 2
y = (1/2)x - 1
Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.
Answer:
y = (1/2)x - 1/2
Step-by-step explanation:
Step 1: Find the derivative of the function
The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:
d/dx (x^n) = nx^(n-1)
Applying this rule to our function, we get:
dy/dx = d/dx sqrt(x - 3)
To differentiate the square root function, we can use the chain rule of differentiation which states that:
d/dx f(g(x)) = f'(g(x)) * g'(x)
Applying this rule to our function, we have:
g(x) = x - 3
f(g) = sqrt(g)
So,
dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1
Substituting g(x) = x - 3, we get:
dy/dx = 1/(2*sqrt(x - 3))
So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).
Step 2: Evaluate the derivative at the given point
To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:
dy/dx = 1/(2*sqrt(4 - 3)) = 1/2
So, the slope of the tangent line at the point (4, 1) is 1/2.
Step 3: Use point-slope form to write the equation of the tangent line
Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:
y - y1 = m(x - x1)
where (x1, y1) is the point on the line and m is the slope of the line.
Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:
y - 1 = (1/2)*(x - 4)
Simplifying this equation, we get:
y = (1/2)x - 1/2
So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.
Hope this helps!
por favor es muy urgente!!!
Answers
Step-by-step explanation:
multiply them for example 12 times 16 equal 192m
2sin 2A - sin 4A
2sin 2A + sin 4A
= tan²A
Answers
Answer:
tan²A - sin²A = tan² A sin²A
from LHS,
tan²A -sin²A
= (sin²A / cos²A) - sin²A……[tan A=sin A/cos A]
= (sin²A - sin²Acos²A) / cos²A
= sin²A (1- cos²A) / cos² A [tan A = sinA / cos A]
= tan²A sin²A= RHS
.•. hence proved
Step-by-step explanation:
Hope it is helpful...
Which phrase could the expression x-4 represent?
a number less than 4
the difference of a number and 4
the sum of a number and 4
four less a number
Answers
Pat and Rick are sales associates at a store. Pat makes 2 sales for every 3 customers that he helps. Rick makes 3 sales for every 4 customers that he helps.
Pat
Sales Customers
2 3
4
6
8
Rick
Sales Customers
3 4
6
9
12
Complete the ratio tables for Pat and Rick by entering the missing value in each box.
(4,
)
(6,
)
(8,
)
(6,
)
(9,
)
(12,
)
Answers
Answer:
Step-by-step explanation:
Suppose an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by the f(x) = 96x -16x^2, find the following.
A) The instantaneous velocity function v = f (x).
B) The velocity when x = 0 and x = 4 seconds.
C) The time(s) when v = 0
Answers
Answer:
A) v = f(x) = 96 -32x
B)the velocity when x = 0
V = 96 ft/s
The velocity when x =4
V = -32 ft/s
C). Time when v= 0
3 seconds = x
Step-by-step explanation:
f(x) = 96x -16x^2
The above equation represents the position of the object at x time along the x axis.
The velocity will be determined by differentiating the equation with respect with x
f(x) = 96x -16x^2,
D f(x)/Dx= 96 -2(16x)
D f(x)/Dx= 96 -32x
v = f(x) = 96 -32x
The velocity when x = 0
v = f(x) = 96 -32x
V = f(0) = 96-32(0)
V = 96 ft/s
The velocity when x = 4
v = f(x) = 96 -32x
V = f(4) = 96-32(4)
V = 96 - 128
V = -32 ft/s
Time when v= 0
v = f(x) = 96 -32x
0= 96 -32x
-96= -32x
-96/-32=x
3 seconds = x
HELP IF YOU CAN, THANK YOU :)
Answers
Answer:
(-3, 1, 2, 6, 7)
Step-by-step explanation:
coordinates work like (x,y)
range is the y values
domain is the x values
write me 2 equivalent fractions of 1/3=_=_
Answers
Multiply both sides by 2 to get 2/6 and both sides by 4 to get 4/12
ts
Find the quotient.
5
14)154
O 10
O 10.5
O 11
O 11.7
Answers
Answer:11/c
Step-by-step explanation:
Fill in the blank to complete the trigonometric formula.
sin(u-v)=
i need to know what to put in on the outher side
Answers
Answer
=sin (u -v)
Step-by-step explanation:
sin ( u-v): sin(u-v)
Value at Risk (VAR) has become a key concept in financial calculations. The VAR of an investment is defined as that value v such that there is only a 1 percent chance that the loss from the investment will be greater than v.
(a) If the gain from an investment is a normal random variable with mean 10 and variance 49 determine the VAR. (IfX is the gain, then ?X is the loss.)
(b) Among a set of investments all of whose gains are normally distributed, show that the one having the smallest VAR is the one having the largest value of mean minus standard deviation*2.33?
Answers
Answer:
Var = 6.31
Step-by-step explanation:
The Value at Risk (VAR)
\(P(X < x_o) = 0.01\)
By using normal distribution
Mean \(\mu\) = 10
Variance = 49
Standard deviation \(\sigma = \sqrt{49 } = 7\)
This implies that:
\(P\Big ( \dfrac{X - \mu}{\sigma } < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ P\Big ( Z < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ \dfrac{x_o - \mu }{\sigma} = invNorm(0.01) \\ \\ x_o = \mu + \sigma \times invNorm (0.01)\)
Using the z-table;
\(x_o = 10 + 7 \times (-2.33) \\ \\ x_o = -6.3100\)
Hence, there exist 1% chance that X < -6.31 or the loss from investment is > 6.31
From the calculated value above;
\(V = \mu -\sigma \times 2.33\); Since the result is negative, then it shows that the greater the value(i.e the positive or less negative it is ) the lower is the value of VAR. Thus, the least value of VAR is accepted by the largest value of
\(min( \mu -\sigma \times2.33,0)\)
Marley worked 16 hours more than Herold last month. If Marley worked 7 hours for every 2 hours that Herold worked, how many hours did they each work?
Answers
Total number of hours both worked last month is; 28.8 hours
How to solve Algebra Word Problems?Let the number of hours that Herold worked last month be x. Thus, number of hours that Marley worked = 16 + x
Now, we are told that Marley worked 7 hours for every 2 hours that Herold worked. Thus;
(16 + x)/x = 7/2
Cross multiply to get;
2(16 + x) = 7x
32 + 2x = 7x
7x - 2x = 32
x = 32/5
x = 6.4 hours
Thus, total hours Marley worked = 16 + 6.4 = 22.4 hours
Total number of hours both worked last month = 22.4 + 6.4 = 28.8 hours
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Hypatia wants to use elimination method to solve the system of equations below. she thinks that he variable will be eliminated if you multiply the first equation by "-1" and then add equations together. Is she correct? Explain your reasoning.
Answers
Hypatia is correct if she multiply the first equation by "-1" and then add equations together, x will be eliminated.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Here the equations are not given:
So we are assuming the equations are:
x + y = 3 ...(1)
x + 2y = 2 ...(2)
If Hypatia multiplies the first equation by "-1" and then add equations together.
- (x + y ) = -3
-x -y = -3
x + 2y = 2
__________
y = -1
Plug the above value in the equation (1):
x = 4
Thus, Hypatia is correct if she multiply the first equation by "-1" and then add equations together, x will be eliminated.
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Match each compound inequality on the left to the graph that represents its solution on the right.
Answers
Note that equation 1 matches the Line Graph in option (B), equation 2 matches option (C), and equation 3 matches option (A).
How would you define a Line Graph?It is a graph that depicts a line connecting many points or a line indicating the relationship between the points. The graph depicts quantitative data between two changing variables by connecting a sequence of succeeding data points with a line or curve.
With regard to the above-given graphs,
The inequalities are given as
1. 4x + 3 > 15 or —6x ≥ 12
2. —8x > —24 and —10 ≤ 2x -6
3. -29 ≤ 9x -2 < 16
Note that the way to identify the plots on the line graphs is by solving the above equations.
1) 4x + 3 > 15 or —6x ≥ 12
4x + 3 > 15 can be solved by subtracting 3 from both sides, resulting in 4x > 12. Dividing both sides by 4 gives x > 3.-6x ≥ 12, can be solved by dividing both sides by -6, resulting in x ≤ -2.2) —8x > —24 and —10 ≤ 2x -6
To solve for x in —8x > —24, divide both sides by -8
x > 3;
So solve for —10 ≤ 2x -6; add 6 from both sides and divide by 2
-4/2 ≤ x
-2 ≤ x or x ≥ -2
3) -29 ≤ 9x -2 < 16
To solve this inequality, you can start by isolating the variable on one side of the inequality. To do this, you can add 2 to both sides to get:
-29 + 2 ≤ 9x < 16 + 2
-27 ≤ 9x < 18
Now divide both sides by 9 to get:
-3 ≤ x < 2
This means that x can be any number that is greater than or equal to -3 and less than 2.
Given the above results, it is correct to state that equation 1 matches option (B), equation 2 matches option (C), and equation 3 matches option (A).
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Full Question:
See the attached.
7
8.Find the missing side length n. Leave your answers as radicals in simplest form.
Answers
Applying the tangent ratio, the length of n in simplest form is: n = 3.
What is the Tangent Ratio?One of the ratios of the trigonometric ratios that is used to solve a right triangle is the tangent ratio, which is:
tan ∅ = opposite side length/adjacent side length, where ∅ is the reference angle.
Given the following:
∅ = 60°Opposite side length = 3√3Adjacent side length = nSubstitute
tan 60 = 3√3 / n
Multiply both sides by n
n(tan 60) = (3√3/n)(n)
n(tan 60) = 3√3
Divide both sides by tan 60
n(tan 60)/tan 60 = 3√3/tan 60
n = 3√3/tan 60
n = 3√3 / √3 [Note: tan 60 = √3]
n = 3
Therefore, applying the tangent ratio, the length of n in simplest form is: n = 3.
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What are the coordinates of the endpoints of the midsegment for A RST that is parallel TS? Enter your answer by filling in the boxes. (_ , _) and (_ , _)
Answers
Answer:
2,4 3,5
Step-by-step explanation:
Type the correct answer in the box. Round your answer to the nearest whole number. An investment earning interest at the rate of 10%, compounded continuously, will double in t years. Find t. Use the formula , where is the amount after t years, is the initial amount, r is the rate of interest, and t is the time. t = years.
Answers
A = P * e^(r*t)
Where A is the amount after t years, P is the initial amount, r is the rate of interest, and e is the mathematical constant approximately equal to 2.71828.
We are given that the investment will double in t years. This means that the amount after t years will be twice the initial amount, or:
2P = P * e^(r*t)
Simplifying, we can divide both sides by P:
2 = e^(r*t)
To solve for t, we can take the natural logarithm of both sides:
ln(2) = ln(e^(r*t))
Using the logarithmic identity ln(e^x) = x, we get:
ln(2) = r*t*ln(e)
Since ln(e) = 1, we can simplify further:
ln(2) = r*t
Finally, we can solve for t by dividing both sides by r and rounding the answer to the nearest whole number:
t = ln(2) / r ≈ 6.93 / 0.1 ≈ 69.3 ≈ 69 years
Therefore, an investment earning interest at the rate of 10%, compounded continuously, will double in approximately 69 years.
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera
Answers
The Brady & Matthew Camera Company has recently introduced its latest high-quality digital camera designed for professional use.
1. The Brady & Matthew Camera Company: The company known as Brady & Matthew Camera is the manufacturer of the newly released digital camera.
2. Newest professional quality digital camera: The recently launched camera by Brady & Matthew Camera Company is their latest product in their lineup of professional-grade digital cameras.
3. Features: The new camera is equipped with advanced features that cater to the needs of professional photographers, such as high-resolution image sensors, a wide range of ISO sensitivity, and customizable shooting modes.
4. Image Quality: The camera is designed to deliver exceptional image quality with sharp details, accurate colors, and low noise, ensuring professional-grade results.
5. Durability: The camera is built to withstand the rigors of professional use, featuring a robust body construction and weather sealing to protect against dust and moisture.
6. Ergonomics: Brady & Matthew Camera Company has paid attention to ergonomic design, ensuring that the camera is comfortable to hold and operate for extended periods.
7. Connectivity: The camera is equipped with various connectivity options, including Wi-Fi and Bluetooth, allowing photographers to transfer images wirelessly and control the camera remotely.
8. Accessories: Brady & Matthew Camera Company offers a range of compatible accessories for their new camera, including lenses, external flashes, and battery grips, expanding the capabilities of the camera system.
9. Market Availability: The new professional-quality digital camera by Brady & Matthew Camera Company is now available for purchase from authorized retailers and their official website.
10. Customer Support: The company provides reliable customer support services, including warranty coverage, technical assistance, and firmware updates to ensure a satisfying user experience.
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NO LINKS!! Please help me with this statement Part 6 ll
Answers
Answer:
C) Domain: all real numbers x except x = ±2
E) f(x) → ∞ as x → -2⁻ and as x → 2⁺, f(x) → -∞ as x → -2⁺ and as x → 2⁻
Step-by-step explanation:
Given function:
\(f(x)=\dfrac{3x^2}{x^2-4}\)
The domain of a function is the set of all possible input values (x-values).
A rational function is undefined when the denominator is equal to zero.
The denominator of the given function is zero when:
\(\implies x^2-4=0\)
\(\implies x^2=4\)
\(\implies \sqrt{x^2}=\sqrt{4}\)
\(\implies x= \pm 2\)
Therefore the domain of the function is:
all real numbers x except x = ±2The excluded x-values are x = -2 and x = 2.
To find the behaviour of the function near the excluded x-values, input values of x that are very near either side of excluded values:
\(x \rightarrow -2^-: \quad f(-2.001)=\dfrac{3(-2.001)^2}{(-2.001)^2-4}=3002.250...\)
\(x \rightarrow -2^+: \quad f(-1.999)=\dfrac{3(-1.999)^2}{(-1.999)^2-4}=-2997,750...\)
\(x \rightarrow 2^-: \quad f(1.999)=\dfrac{3(1.999)^2}{(1.999)^2-4}=-2997.750...\)
\(x \rightarrow -2^+: \quad f(2.001)=\dfrac{3(2.001)^2}{(2.001)^2-4}=3002.250...\)
Therefore, the behaviour of the function near the excluded x-values:
f(x) → +∞ as x → -2⁻f(x) → -∞ as x → -2⁺f(x) → -∞ as x → 2⁻f(x) → +∞ as x → 2⁺If abf is 300 what is ad
Answers
Solve the equation.
3|10x - 4| = 78
Answers
Answer:
x(down 1)=-11/5, x(down 2) =3
Step-by-step explanation:
How many points have a modulus of 4?
Answers
Answer:
Infinitely many
Step-by-step explanation:
make word problem for 6,8 4,8
Answers
Answer:
sorry this is for the points
Given ab 12 ac 6 prove c is the midpoint
Answers
Answer:
yes
Step-by-step explanation:
Given ab 12 ac 6 prove c is the midpoint is true because the midpoint of 12 is 6.
Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
Answers
To calculate the simple interest, we use the following formula:
(Principal) • (interest rate) • (time) = simple interest
Plugging the values in, we will find that:
$2,750 (our principal) • 0.015% (our interest rate represented by a decimal) • 3 (our time period in years) = $123.75 (our simple interest)
Ultimately, Devi made an investment and in 3 years earned a simple interest of $123.75.
Solve the equations:
-5x + 3 = 2x - 1
5t - 3 = 3t + 5
53y - 55 = 42y
Answers
Answer:
1. X = 4/7
2. T = 4
3. Y = 5
Identify parallelograms, rectangles and squares
Answers
Answer:
figure A = square ( All sides are equal)
figure B = Rectangle (Two sides are equal)
Figure C = parallelogram (is a four-sided polygon (a quadrilateral) in which opposite sides are parallel and equal in length)