Answer:
286m²
Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Answer:
286m²Step-by-step explanation:
IDK
Can some help me please? On this question?
Answer:
D
Step-by-step explanation:
-16 - (-2) = -14
-16+2 = -14
Simplify 6^7/6^5
I have no idea math is hard
Step-by-step explanation:
hi hlo hshsvbzbzbsbbzbsbsbsb
Answer:
It is 36
Step-by-step explanation:
Solve-3(z-6) ≥ 2z-2 for z
Answer: Z<4
Step-by-step explanation:
Rearrange the equation
-3(z-6) - (2z-2)>0
-3z+18-2z+2>0
-5z +20>0
-5(z-4)>0
divide both side by -5
z-4<0
z<4
What type of argument is this? "All cubes are square. A dice is a cube. Therefore, a dice must be square."
The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.
The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.
In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.
The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.
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21 - 3 + 8 or -14 + 31 - 6
Answer:21-3+8=26
-14+31-6=11
Step-by-step explanation:
Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
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Jake earned $1.155 in interest from his savings account over the last 5 years. The account has an annual rate of 1.25% how much did jake originally deposit in his account as his principal?
9514 1404 393
Answer:
$18.48
Step-by-step explanation:
If we assume the account earned simple interest, the amount is given by the formula ...
I = Prt . . . . interest on principal P at annual rate r for t years
1.155 = P·0.0125·5
P = 1.155/0.0625 = 18.48
Jake initially deposited $18.48 as his principal.
_____
Additional comment
The amount $1.155 is an unusual specification for an amount of money. If you mean $1,155.00, then the principal amount is likewise multiplied by 1000: $18,480.
I really need help with this question
Step-by-step explanation:
∠1 = ∠4 = 57° (vertical angles)
∠6 = 123° (same side interior angles are supplementary)
Answer:
The answer is 123
Step-by-step explanation:
Angle 5 is the same measure as angle one, and a straight line measures 180 degrees. Subtract 57 from 180, and you get the remaining angle. 123 degrees.
Cookies are sold in the lunchroom for 1.50. Ana wants to buy cookies for a group of her friends. If she has 20 dollars,which inequality can be solved to show the number of cookies she can buy?
A pair of shoes is originally priced at $120.00 It is on sale for 35% off. What is the price that you would pay?
\(answer = $78 \\ solution \\ marked \: price = $120 \\ discount \: percent = 35 \\ discount \: amount = discount \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 35 \: of \: 120 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ = $42 \\ selling \: price = mp - discount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 120 - 42 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = $78 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)..
sam starts with a normal distribution of scores, that has a population mean of 50 and a population standard deviation of 5. he randomly selects 16 scores, with a sample mean of 10. sam would like to calculate the z test... however, have the requirements for using the z table been met?
Determining if a Z-test can be used to evaluate the data. You can utilize the Z table if the parent population's scores are normal and you are aware of its standard deviation.
If the parent population is NOT normal, you may still use the Z table as long as the sample size is 1,000 and you are aware of the population standard deviation.
A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a technique to express quantitatively how dispersed the data is from the mean.
The area under the curve to the left of a z-score is provided by a z-table, sometimes referred to as the standard normal table. This region denotes the likelihood that a certain region of the standard normal distribution will contain z-values.
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Given the tunction g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true concerning these two values.
The value of g(2) is larger than the value of g(-4).
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Picture blow………………….
ANSWER:
e. 4 and 2
f. 1 and 3
g. 5 and 6
h. 7 and 8
Ok done. Thank to me >:3
One way to prove that a quadrilateral is a parallelogram is to show that
a. It has one pair of congruent sides.
b. It has one pair of parallel sides.
c. the diagonals bisect each other.
d. the diagonals are congruent.
Answer:
c)the diagonals bisect eachother
Identify the sampling technique used in each study. Explain your reasoning. (a) A journalist goes to a campground to ask people how they feel about air pollution (b) For quality assurance, every tenth machine part is selected from an assembly line and measured for accuracy. (c) A study on attitudes about smoking is conducted at a college. The students are divided by class (freshman, sophomore, junior, and senior). Then a random sample is selected from each class and interviewed.
The sampling technique used in each study is as follows: (a) convenience sampling, (b) systematic sampling, and (c) stratified random sampling.
(a) In the first study, where a journalist goes to a campground to ask people about their feelings regarding air pollution, the sampling technique used is convenience sampling. This is evident because the journalist approaches individuals who are readily available and easily accessible at the campground. However, convenience sampling may introduce bias as it does not ensure a representative sample of the population.
(b) In the second study, where every tenth machine part is selected from an assembly line for measurement, the sampling technique used is systematic sampling. Systematic sampling involves selecting every nth element from a population after establishing a sampling interval. In this case, every tenth machine part is selected to ensure a systematic and unbiased approach to quality assurance.
(c) In the third study, where attitudes about smoking are studied at a college and students are divided by class and then randomly sampled from each class for interviews, the sampling technique used is stratified random sampling. Stratified random sampling involves dividing the population into homogeneous subgroups (strata) and then randomly selecting samples from each subgroup. By dividing the students into different class strata and randomly selecting samples from each class, this study aims to ensure representation from each class in the final sample.
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A red light flashes every 6 seconds. A green light flashes every 15 seconds. A blue light flashes every 21 seconds. They have all flashed at the same time. After how many seconds will they next all flash at the same time?
The next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.
How to find the next time all three lights will flash at the same timeTo find the time at which all three lights will flash at the same time, we need to find the LCM (Least Common Multiple) of the given times.
Prime factorizing each time, we get:
6 = 2 x 3
15 = 3 x 5
21 = 3 x 7
To find the LCM, we take the highest power of each prime factor that appears in any of the numbers:
2 x 3 x 5 x 7 = 210
Therefore, the next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.
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What is the average rate of change from x = 0 to x = 2?
Answer:
I believe the answer is 1 sorry if im wrong :(
Answer:
Average Rate: 1
Step-by-step explanation:
None
The last four weekly values of sales were 80, 100, 105, and 90 units. the last four forecasts were 60, 80, 95, and 75 units. these forecasts illustrate:_________
These forecasts illustrate bias.
What is bias?Bias is defined as a disproportionate weight in favor of or against an idea or thing, usually in a closed-minded, prejudicial, or unfair manner. Biases can be inherited or acquired. Biases for or against an individual, a group, or a belief can develop. A bias is a systematic error in science and engineering. Statistical bias occurs when a population is unfairly sampled or when an estimation process produces inaccurate results on average. As an example, the previous four weekly sales values were 80, 100, 105, and 90 units. The last four forecasts were for 60, 80, 95, and 75 units, respectively. These forecasts show bias.Therefore, these forecasts illustrate bias.
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how do i convince my parents to let me get a phone?
Step-by-step explanation:
frist of all how old are you second just show them you are responsible get good grades and behave when they tell you to do something just do it be responsible
Answer:
tell them why you need it ( I saidwhat I need to call you guys or what if im in danger etc) also tell them you will use it for good use only
Step-by-step explanation:
also you can ask it for your bitrhday or a holiday it works good
6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?
If an independent variable is added to a multiple regression model, the R-squared value:
a. Becomes larger or smaller depending on the statistical significance of the variable
b. Becomes larger even if the variable added is not statistically significant
c. Might or might not become larger even if the variable added is statistically significant
d. Is not affected by the variable added even if it is statistically significant
C. May or may not increase in size even if the added variable has statistical significance.
The R-squared value measures the proportion of variance in the dependent variable that is explained by the model, including the independent variable.
Therefore, if an independent variable is added to the model and it is statistically significant, then it will increase the R-squared value. However, if the variable added is not statistically significant, then it will not have an effect on the R-squared value.
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Create a trinomial whose solutions are `x=2` and `x=-3`. Explain how you created your trinomial, and show the work to get your solutions
The trinomial whose solutions are x = 2 and x = -3 is given as follows:
x² + x - 6.
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
The roots for this problem are:
x = 2.x = -3.Hence the linear factors are given as follows:
x - 2.x + 3.Then the trinomial is:
(x - 2)(x + 3) = x² + x - 6.
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if a = 4 and b = 6 what is the value of 3a + 5b
Answer:
42
Step-by-step explanation:
3a+5b
3(4)+5(6)
12+30
42
Answer:
42
Step-by-step explanation:
3 times 4 equals 12, 5 times 6 equals 30
30 plus 12 equals 42
Compare the two ratios by entering >, <, or = in the box.
6:15 and 30:80
Which one is greater? (I go to K12 school 6th grade)
HELPPPPPP!!
30:80 is greater
Step-by-step explanation:
6:15=2:5=30:80=15:40
How many two-digit numbers are there such that the two digits differ by exactly two?
Answer:
Two-digit number ab: a = b + 2
20, 31, 42, ..., 97 ==> 8 numbers
b = a + 2, 8 numbers
8 + 8 = 16 numbers
Step-by-step explanation:
Consider the solid that lies above the square (in the xy-plane) R=[0,2]×[0,2], and below the elliptic paraboloid z=100−x^2−4y^2.
(A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners.
(B) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners..
(C) What is the average of the two answers from (A) and (B)?
(D) Using iterated integrals, compute the exact value of the volume.
The exact value of the volume of the solid is -62.5.
Consider the solid that lies above the square R = [0, 2] × [0, 2], and below the elliptic paraboloid z = 100 − x² − 4y².
(A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left-hand corners. Using the lower left corner method, we can estimate the volume by dividing R into 4 equal squares and then adding the volumes of the individual subintervals.$V_{(A)}=\sum_{i=1}^{2}\sum_{j=1}^{2} f(x_{i},y_{j})\Delta x \Delta y$$\Delta x=\frac{2-0}{2}=1$, $\Delta y=\frac{2-0}{2}=1$,$\therefore x_{i}=0+(i-1)\Delta x$ and $y_{j}=0+(j-1)\Delta y$
The lower left corner points are, then:$(0,0),(1,0),(0,1),(1,1)$
The average value is the mean of the above two estimates$\frac{1}{2}\left[V_{(A)}+V_{(B)}\right]$$\frac{1}{2}\left[ 133.3125+134.6875\right] = 134$ Therefore, the average of the estimates obtained from (A) and (B) is 134.
(D) Using iterated integrals, compute the exact value of the volume.The volume of the given solid is given by,$$\iiint dV$$Converting to iterated integrals$$\iiint dV=\int_{0}^{2}\int_{0}^{2}\int_{0}^{100-x^2-4y^2}dzdydx$$\begin{aligned}\int_{0}^{2}\int_{0}^{2}\int_{0}^{100-x^2-4y^2}dzdydx&=\int_{0}^{2}\int_{0}^{2}\left[100-x^2-4y^2\right]dydx\\&=25\int_{0}^{2}\int_{0}^{2}\left[1-\left(\frac{x}{2}\right)^2-\left(\frac{y}{1/2}\right)^2\right]dydx\\&=25\int_{0}^{2}\int_{0}^{2}\left[1-\left(\frac{x}{2}\right)^2\right]dydx-100\int_{0}^{2}\int_{0}^{2}\left[\left(\frac{y}{1/2}\right)^2\right]dydx\\&=25\int_{0}^{2}\left[y-\frac{y}{4}\right]_{0}^{2}dx-100\int_{0}^{2}\left[\frac{y^3}{3}\right]_{0}^{2}dx\\&=25\int_{0}^{2}\left[\frac{3}{4}y\right]_{0}^{2}dx-100\int_{0}^{2}\left[\frac{8}{3}\right]dx\\&=25\int_{0}^{2}\frac{3}{2}dx-100\left[ \frac{8}{3}x\right]_{0}^{2}\\&=37.5-100\cdot \frac{16}{3}\\&=-62.5\end{aligned}
Hence, the exact value of the volume of the solid is -62.5.
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(A) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners.
Each square is of area 1 (since the square R is divided into 4 equal squares) and so for the lower left corner of each square, we have the sample points as (0,0), (0,1), (1,0), and (1,1).
The value of the elliptic paraboloid at these points is then calculated as\(z = 100 - x^2 - 4y^2= 100 - (0)^2 - 4(0)^2 = 100= 100 - (0)^2 - 4(1)^2 = 96= 100 - (1)^2 - 4(0)^2 = 99= 100 - (1)^2 - 4(1)^2 = 95\)
Therefore, the volume of the solid above R estimated by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners is Volume = (1)(100 + 96 + 99 + 95)= 390
(B) Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right-hand corners.
Each square is of area 1 (since the square R is divided into 4 equal squares) and so for the upper right corner of each square, we have the sample points as (1,1), (1,2), (2,1), and (2,2).
The value of the elliptic paraboloid at these points are then calculated as z = 100 - x^2 - 4y^2= 100 - (1)^2 - 4(1)^2 = 95= 100 - (1)^2 - 4(2)^2 = 80= 100 - (2)^2 - 4(1)^2 = 91= 100 - (2)^2 - 4(2)^2 = 75
Therefore, the volume of the solid above R estimated by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners is:Volume = (1)(95 + 80 + 91 + 75)= 341(C) What is the average of the two answers from (A) and (B)?The average of the two answers is:(390 + 341)/2= 365.5Therefore, the average of the two answers from (A) and (B) is 365.5(D) Using iterated integrals, compute the exact value of the volume.The elliptic paraboloid is given as z = 100 - x^2 - 4y^2 and the domain R = [0,2] x [0,2]. The volume of the solid is given by the integral of the function f(x,y) = 100 - x^2 - 4y^2 over the domain R, that is:∬Rf(x,y) dAwhere dA = dxdyTherefore, the volume is:∬Rf(x,y) dA= ∫[0,2]∫[0,2] (100 - x^2 - 4y^2) dy dx= ∫[0,2] [100y - x^2y - 2y^3]y=0 dy dx= ∫[0,2] [100y - x^2y - 2y^3] dy dx= ∫[0,2] (100 - 2x^2 - 16) dy dx= ∫[0,2] (84 - 2x^2) dy dx= ∫[0,2] (84y - 2x^2y) y=0 dy dx= ∫[0,2] (84 - 4x^2) dx= (84x - (4/3)x^3) x=0^2= (84(2) - (4/3)(2^3)) - (84(0) - (4/3)(0^3))= 168 - 16/3= 500/3Therefore, the exact value of the volume is 500/3. Answer: 365.5, 500/3.
If sin(X) =cos(Y), which of these are possible values of X and Y
One possible value of X and Y for sin(X) and cos(Y) to be equal is 45 degrees. The standard values can be interpreted as (45+n180) for n = real number.
In the trigonometric relations, if we notice the first few standard values of sin and cos for the angle, 0, 30, 45, 60 and 90 degrees.
Here, we know,
sin(45) = cos(45)
We also know that sin and cos functions repeat there value after a certain point.
The value observed at 45 degrees will be observed again after 180 degrees. So, the further possible values of sin (X) and cos(Y) could be (45+n180) for n = real number.
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7c3d2
Need help finding the degree of the monomial
Answer:
5
Step-by-step explanation:
7c³d²
This term has tow variables, c and d
Power of c is 3
Power of d is 2
Degree of this monomial is = 3+2 = 5
Angles 1 and 7 are what type of angles?
A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior
D. Corresponding angles
Answer:
B. Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are pairs of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They also have the same degree. So, the answer is B.
Darius wants to create a large mural to cover part of his wall. He drew a sketch of his design to
determine the amount of canvas he needs. The area of the design was 0.4 square feet. If the
actual mural will have dimensions 6 times that of the design, how many square feet of canvas
will Darius need?
Model mural::
L*W = 0.3 sq. ft
--------------
Actual mural::
(5L)(5W) = 25*LW = 25*0.3 = 7.5 sq ft.