9514 1404 393
Answer:
solutions: (1, -2), (5, 2)not solutions: (-3, 6), (1, -7)Step-by-step explanation:
The first inequality describes a line with negative slope and y-intercept -4. The solution space is above that line.
The second inequality describes a line with positive slope and y-intercept +1. The solution space is below that line.
Together, the lines make a sort of X on the graph. The resulting solution space will be in the right-side quadrant of that X. Any sufficiently small y-value for a sufficiently large x-value will be a solution. Any point to the left of x=-4 will not be a solution. Values in each category are listed above and shown on the attached graph.
Suppose that you are headed toward a plateau 60 m high. If the angle of elevation to the top of the plateau is 20°, how far are you from the base of the plateau?
The plateau ismeters away
(Do not round until the final answer. Then round to two decimal places as needed)
PLEASEEE HELP 83 POINTS TO WHOEVER GET IT RIGHT!!!
Answer:
164.85 m
Step-by-step explanation:
You have a right triangle with 60 as the side opposite the 20° angle and you are looking for the adjacent side to that angle.
The trig function to use is the tangent of an angle = opp/adj
Let x = distance from you to the base of plateau
So, tan 20 = 60/x
x tan 20 = 60
x = 60/tan 20
x = 164.85 m
You must memorize the definitions all of the trig functions so you can do a problem like this one. OK?
Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy? a. Write and solve an inequality to answer the question
I need help with this
Answer:
A
Step-by-step explanation:
supplementary agles add up to 180 degrees, so when you subtract 162 from 180, you get 18. Hope this helped :D
Answer:
A
Step-by-step explanation:
supplementary means it adds up to 180
so 162 + 18 = 180
Help please! Thanks, will give brainliest if correct. Answer only if you know this.
Answer:
The answer is 0.20
Step-by-step explanation:
Answer: 0.20
Step-by-step explanation:
If f (x) = 7+2x and g(x) =5x -2, find f (7)
Answer:f=103.444
Step-by-step explanation:
took this test and got an A++
The value of the function \(f(x)=7+2x\) for \(f(7)\) is 21.
The given functions are \(f(x)=7+2x\) and \(g(x)=5x-2\).
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find \(f(7)\), substitute \(x=7\) in \(f(x)=7+2x\), we get
\(f(7)=7+2(7)\)
\(f(7)=21\)
Therefore, the value of the function \(f(x)=7+2x\) for \(f(7)\) is 21.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ4
Please HELP
X Y
1 12.3
2 19.6
3 26.9
4 34.2
5 41.5
Graph the function shown by the table. Is the function linear or nonlinear?
a. linear
b. nonlinear
(show steps)
help. need answer asap help.help.help.help.help.help.help.help.help.help.help.help.help.help.
The area of the triangle is calculated to be equal to 7.5 square inches.
How to evaluate for the area the triangleFor any triangle, the area is calculated as half the base multiplied by the height of the triangle, that is;
Area of triangle = 1/2 × base × height
we have the base of the triangle to be 6 inches and the height as 2.5 inches, so we solve for the area as follows:
1/2 × 6 inches × 2.5 inches
6 inches can be divided by 2 to give;
3 inches × 2.5 inches
7.5 square inches
Therefore, the area of the triangle is calculated to be equal to 7.5 square inches
Know more about area here:https://brainly.com/question/17335144
#SPJ1
42 is how much greater then 27
Answer:
15
Step-by-step explanation:
42 - 27= 15
15 + 27 = 42
Therefore, 15 is the answer
AA i really need to practice math more during summer
Answer:
a(n) = 7n + 33
Step-by-step explanation:
This sequence is arithmetic meaning it has a common difference. You can find this by subtracting a term from the term that comes after it. In this case, 47-40=7, so 7 is our common difference. Now we can start the formula where a(n)=7n+b, where a(n) is the value of a term and n is the number of the term. Now all we have to do is plug in some numbers.
a(n)=40 when n=1 as the first term of the sequence is 40. This means that 40=7(1)+b, or 40=7+b, or 33=b. This means that the explicit formula is a(n)=7n+33.
This recipe makes 20 cupcakes. Deepak only wants to make 8 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 12 ounces butter 8 ounces sugar 10 ounces flour 5 eggs
Answer:
20÷8=2,5 12÷2,5=4,8 8÷2,5=3,2 10÷2,5=4 5÷2,5=2 therefore 4,8+3,2+4+2=14
a brick of copper weighs 6,515 grams and has the following dimensions: length of 26 cm, height of 8 cm, and width of 36 mm. what is the approximate density of the copper? round to the nearest tenth.
The approximate density of the copper is 8.7 grams per milliliters
Calculating the approximate density of the copperFrom the question, we have the following parameters that can be used in our computation:
Mass = 6515 grams
Dimensions: length of 26 cm, height of 8 cm, and width of 36 mm.
The volume is calculated as
Volume = 26 cm * 8 cm * 36 mm
Evaluate
Volume = 748.8 milliliters
The approximate density of the copper is calculated as
Density = mass/volume
So, we have
Density = 6515 grams/748.8 milliliters
Evaluate
Density = 8.7 grams per milliliters
Hence, the density is 8.7 grams per milliliters
Read more about density at
https://brainly.com/question/1354972
#SPJ1
Let a = (3,1,2) b = (- 1,2,1) and c = (2,1, a) Set the parameter so that the volume of the parallelepiped is 24
Answer:
Either \(c = (2,\, 1,\, (-13) / 7)\) or \(c = (2,\, 1,\, 5)\).
Step-by-step explanation:
The volume of a parallelepiped with sides \(\vec{a}\), \(\vec{b}\), and \(\vec{c}\) is the absolute value of \(\left(\vec{a} \times \vec{b}\right)\, \vec{c}\) (a cross product between the first two sides followed by a dot product with the third side.)
In this example:
\(\begin{aligned} &\vec{a} \times \vec{b} \\ =\; & \begin{bmatrix}3 \\ 1 \\ 2\end{bmatrix} \times \begin{bmatrix}-1 \\ 2 \\ 1\end{bmatrix} \\ =\; & \begin{bmatrix}1 \times 1 - 2 \times 2 \\ 2 \times (-1) - 3 \times 1 \\ 3 \times2 - 1 \times (-1) \end{bmatrix} \\ =\; & \begin{bmatrix} -3 \\ -5 \\ 7 \end{bmatrix}\end{aligned}\).
Given that \(\vec{c} = (2,\, 1,\, m)\) for some unknown parameter \(m\):
\(\begin{aligned}& \left(\vec{a} \times \vec{b}\right)\, \vec{c} \\ =\; & \begin{bmatrix}-3 \\ -5 \\ 7\end{bmatrix}\, \begin{bmatrix}2 \\ 1 \\ m\end{bmatrix} \\ =\; & (-3) \times 2 + (-5) \times 1 + 7 \, m \\ =\; & -11 + 7\, m\end{aligned}\).
The volume of this parallelepiped would be the absolute value \(|-11 + 7\, m|\). For this volume to be equal to \(24\), either \((-11 + 7\, m) = (-24)\), such that \(m = (-13) / 7\), or \((-11 + 7\, m) = 24\), such that \(m = 5\).
Pentagon PENTA has coordinates P(0,0), E (4,4), N (8,4), T ( 8,-4), and A (4,-4) and is dilated at the origin with a scale factor of 3/4. Select all that are coordinates of P’E’N’T’A?
Answer:
5
Step-by-step explanation:
because thats the answer
Answer:
P'(0,0), E' (3,3), N'(6,3), T'(6,-3), A'(3,-3)
Step-by-step explanation:
1.The dilation is by a scale factor of 3/4 meaning it's less than one, meaning the image will get smaller.
2.To find the new coordinates, multiply 3/4 by each number in the coordinate pair. For example 4x3/4 is 3 making (4,4) (3,3).
Calculate the volume of a parallelepiped whose sides are described by the vectors, A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm, You can use the vector triple product equation Volume = A . (BXC)| .
The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.
The given vectors are:
A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm
In order to calculate the volume of parallelepiped, we will use vector triple product equation:
Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.
Step-by-step solution:
We have, A = [-4, 3, 2] cm
B = [2,1,3] cm
C = [1, 1, 4] cm
Now, let's find BXC, using the cross product of vectors B and C.
BXC = | i j k| 2 1 3 1 1 4 | i j k | = -i + 5j - 3k
Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.
The volume of the parallelepiped is given by:
Volume = A . (BXC)|
Therefore, we have: Volume = A . (BXC)
\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)
Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.
To know more about parallelepiped, visit:
https://brainly.com/question/30627222
#SPJ11
please help me fast please hurry
So I was ordering me food that cost $16.13. And I have $15 and 4 quarters, 1 dime and 5 pennies. How can I make it work? Can I use the extra dollar with the 4 quarters so that I have $16?
Answer:
Technically, it already works because you have $16.15
Step-by-step explanation:
Because it only considers the worst possible outcomes, the ________________ decision criterion
has the least downside risk.
A. Laplace
B. maximin
C. minimax regret
D. maximax
Because it only considers the worst possible outcomes, the maximin decision criterion has the least downside risk.
Wald's maximin model is a non-probabilistic decision-making model in game theory and decision theory.
It says that while choosing a course of action, the decision-maker should choose the one whose greatest (highest) loss is better than the least (minimum) loss of all other options that are feasible under the current conditions. The approach that maximizes one's own lowest payout is referred to as "maximin" in non-zero-sum games.
When given a choice between numerous options, the maximin approach instructs managers to consider each option's worst-case outcome. This presupposes that each choice has a number of possible outcomes.
To know more about maximin visit the link:
https://brainly.com/question/17083768?referrer=searchResults
#SPJ4
What is the relationship between wavelength and period? (both in words and mathematically)
The relationship between wavelength and period is such that as the wavelength of a wave increases, its period also increases, given that the wave speed remains constant. This means that longer wavelengths result in longer periods, while shorter wavelengths correspond to shorter periods.
Mathematically, this relationship is expressed through the formula v = λf, where v represents the wave speed, λ is the wavelength, and f is the frequency. Since frequency (f) is the reciprocal of period (T), i.e., f = 1/T, we can rewrite the formula as v = λ(1/T). By rearranging this equation, we can find the relationship between wavelength and period: λ = vT.
In summary, the relationship between wavelength and period is directly proportional, with longer wavelengths resulting in longer periods and vice versa, given a constant wave speed. The mathematical relationship is expressed as λ = vT, where λ is the wavelength, v is the wave speed, and T is the period.
To know more about wavelength click here
brainly.com/question/12924624
#SPJ11
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true?
x =
Answer: -1
Step-by-step explanation:
Answer: -1
Step-by-step explanation: I got it right :))
A relationship in which one variable increases and the other variable decreases is called?
a. Positive correlation
b. Negative correlation
c. Inverse
d. Linear
help please i am timedWhich of the following characteristics is NOT added to a food with the addition of a sauce? O Flavor O Moisture O Visual appeal Tenderness
Answer:
Tenderness
Step-by-step explanation:
Sauces can't add tenderness to food
Answer:
I would say D, tenderness.
Step-by-step explanation:
No sauce in the world can make overcooked meat tender
A bank features a savings account that has an annual percentage rate of r 3.2% with interest compounded daily. Marcus deposits $2,500 into the account. The account balance can be modeled by the exponential formula 5(1) - P(1+)". where is the future value, P is the present value, r is the annual percentage rate, n is the number of times each year that the interest is compounded, and t is the time in years. (A) What values should be used for P, r, and n P= (6) How much money will Marcus have in the account in 8 years? Answer S Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective. annual percentage rate which includes all compounding in the year). APY= Round answer to 3 decimal places.
a)FV = $2,500(1 + 0.032/365)^(365*8). By evaluating we get the future value. c)By substituting these values into the formula, we can determine the future value. APY = (1 + 0.032/365)^365 - 1
the given scenario, we can use the exponential formula for compound interest:
Future Value (FV) = P(1 + r/n)^(n*t)
P = $2,500 (present value)
r = 3.2% (annual percentage rate)
n = 365 (number of times interest is compounded per year)
t = 8 years
(A) Substituting the values into the formula:
FV = $2,500(1 + 0.032/365)^(365*8)
By evaluating the expression, we can determine the future value of Marcus's account balance after 8 years.
(C) The annual percentage yield (APY) takes into account the effect of compounding throughout the year. It is calculated as follows:
APY = (1 + r/n)^n - 1
Substituting the values:
APY = (1 + 0.032/365)^365 - 1
By evaluating the expression, we can determine the APY for the savings account.
To learn more about interest click here, brainly.com/question/30393144
#SPJ11
A basketball player was successful on 18 out of his 24 last free throws attempts. If he attempts 20 free- throws in the next game, about how many will he make if the ratio is the same as the first game?
He needs to make 15 throws if the ratio is the same as the first game
From the question, we have the following parameters that can be used in our computation:
Player was successful on 18 out of his 24 last free throws attempts
Using the above as a guide, we have the following:
Proportion = 18/24
For the number of games, we have
Throws made = Proportion * Number of throws
Substitute the known values in the above equation, so, we have the following representation
Throws made = 18/24 * 20
Evaluate
Throws made = 15
Hence, the number of throws made is 15
Read more about proportion at
https://brainly.com/question/1781657
#SPJ1
Evaluate the double integral ∫∫ (x − 3y2) da, where r = (x, y) | 0 ≤ x ≤ 6, 2 ≤ y ≤ 4 .
Main Answer: ∫∫ (x − 3y^2) da over the given region is -300.
Supporting Question and Answer:
How do we evaluate a double integral over a given region?
To evaluate a double integral over a region, we typically integrate the given function over the region by integrating first with respect to one variable (usually x) and then with respect to the other variable (usually y) while taking into account the specified limits of integration for each variable. This involves evaluating the inner integral followed by the outer integral, which allows us to compute the final value of the double integral.
Body of the Solution:To evaluate the double integral ∫∫ (x − 3y^2) da over the given region, we need to set up and evaluate the integral using the specified limits of integration.
The region R is defined by 0 ≤ x ≤ 6 and 2 ≤ y ≤ 4.
The integral can be written as:
∫∫ (x − 3y^2) da
To evaluate this integral, we integrate with respect to x first, and then with respect to y.
∫∫ (x − 3y^2) da
= ∫[2,4] ∫[0,6] (x − 3y^2) dx dy
Integrating with respect to x, we have:
∫[2,4] [∫[0,6] (x − 3y^2) dx] dy
[1/2 x^2 −3y^2x] evaluated from 0 to 6
Substituting the limits, we have:
[1/2 (6)^2 −3y^2(6)] - [1/2 (0)^2 −3y^2(0)]
Simplifying further:
[18 − 18y^2] - [0] = 18 − 18y^2
Now, we integrate the resulting expression with respect to y:
∫[2,4] (18 − 18y^2) dy
Integrating, we have:
[18y − 6y^3] evaluated from 2 to 4
Substituting the limits, we have:
(18(4) − 6(4)^3) - (18(2) − 6(2)^3)
Simplifying further:
(72 − 384) - (36 − 48) =-300
Final Answer: Therefore, the value of the double integral ∫∫ (x − 3y^2) da over the given region is -300.
To learn more about evaluate a double integral over a given region from the given link
https://brainly.com/question/31978614
#SPJ4
∫∫ (x − 3y²) da over the given region is -300.
How do we evaluate a double integral over a given region?To evaluate a double integral over a region, we typically integrate the given function over the region by integrating first with respect to one variable (usually x) and then with respect to the other variable (usually y) while taking into account the specified limits of integration for each variable. This involves evaluating the inner integral followed by the outer integral, which allows us to compute the final value of the double integral.
To evaluate the double integral ∫∫ (x − 3y²) da over the given region, we need to set up and evaluate the integral using the specified limits of integration.
The region R is defined by 0 ≤ x ≤ 6 and 2 ≤ y ≤ 4.
The integral can be written as:
∫∫ (x − 3y²) da
To evaluate this integral, we integrate with respect to x first, and then with respect to y.
∫∫ (x − 3y²) da
= ∫[2,4] ∫[0,6] (x − 3y²) dx dy
Integrating with respect to x, we have:
∫[2,4] [∫[0,6] (x − 3y²) dx] dy
[1/2 x² −3y²x] evaluated from 0 to 6
Substituting the limits, we have:
[1/2 (6)² −3y²(6)] - [1/2 (0)² −3y²(0)]
Simplifying further:
[18 − 18y²] - [0] = 18 − 18y²
Now, we integrate the resulting expression with respect to y:
∫[2,4] (18 − 18y²) dy
Integrating, we have:
[18y − 6y³] evaluated from 2 to 4
Substituting the limits, we have:
(18(4) − 6(4)³) - (18(2) − 6(2)³)
Simplifying further:
(72 − 384) - (36 − 48) =-300
Final Answer: Therefore, the value of the double integral ∫∫ (x − 3y²) da over the given region is -300.
To learn more about double integral
brainly.com/question/31978614
#SPJ4
What is the solution to this system of linear equations
Answer:
the solution is (0,2) to the problem
what are the more approprite measures of center and spread for this data set? select two choices: one for the center and one for the spread. please help asap!!
Based on the data set, B. Better measure of center: median. C. Better measure of spread: interquartile range (IQR).
What measures of center and spread are best?The measure of center should be the median because the mean will be affected by the outliers on the left side.
The IQR will be the best measure of spread because the standard deviation is also affected by the outliers.
Find out more on the IQR at https://brainly.com/question/447161.
#SPJ1
please help me...please :)
Answer: c or d
Step-by-step explanation:
3/4 pan of lasagna is shared equally by 6 friends. What fraction of the pan will each friend get?
(3\4)\6
(3\4(6))
3\24
Find the value of z.
The denominator of a fraction is 1 less than 5 times the numerator. If the numerator is
increased by 5 and the denominator is decreased by 4, the resulting fraction is equal to ½. Find the ORIGINAL fraction.
you get maths when you practice itself
so do it yourself