Answer:
x=-1
Step-by-step explanation:
Hi! Not sure which questions you wanted to be answered, but since 19 was in the middle I went ahead and answered that one for you. Here are the steps! If you don't understand, feel free to comment asking any questions!
y=-1
8x-3y=-5
8x-3(-1)=-5
8x+3=-5
8x=-8
x=-1
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2. Harry is rolling a die, what is the probability of him rolling an even
number in simplest form? *
Answer:
1/2 ( equally likely and equally unlikely)
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
A die consists of six numbers. There are 3 even numbers in a die, 2,4, and 6.
This means that 3 out of 6 numbers in a die are even. 3/6 simplified is 1/2.
The diameter of a circle is 4 cm. Find the circumference
use tables to find log
(789.5)1/8
The logarithm of (789.5) elevated to the power 1/8 is given as follows:
log(789.5)^(1/8) = 0.36216901679.
How to obtain the logarithm?The logarithm in this problem is defined as follows:
log(789.5)^(1/8).
It has a power, hence the power can be moved to the front of the logarithm expression applying the power rule, as follows:
log(789.5)^(1/8) = 1/8 x log(789.5).
Then a calculator is used to obtain the logarithm of 789.5, which is the number that is elevated to the base 10 to obtain 789.5, hence:
log(789.5) = 2.89735213434.
Thus the numeric value of the logarithmic expression in this problem is calculated as follows:
log(789.5)^(1/8) = 1/8 x log(789.5) = 1/8 x 2.89735213434 = 0.36216901679.
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what adds to 5 and multiplies to -15?
The answer is that there are no such two numbers that satisfy the given conditions.
To determine the values of a and b, we need to find the factors of -15 that add up to 5. The factors of -15 are -1, 1, -3, 3, -5, and 5. We can try different combinations of these factors to see which pair satisfies the conditions.
If we take a = -3 and b = 5, we have a + b = -3 + 5 = 2, which is not equal to 5. Similarly, for other combinations, we find that none of them satisfy the condition of adding up to 5.
Therefore, there are no two numbers that add to 5 and multiply to -15.
In this case, -15 is a prime number, meaning it has no factors other than 1 and itself. Therefore, it cannot be expressed as a product of two numbers. As a result, we cannot find two numbers that both add to 5 and multiply to -15.
The answer is that there are no such two numbers that satisfy the given conditions.
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At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
what inequality is shown on the graph ?
The inequality of the graph that is given is: y < 2x - 3.
How to Write the Inequality of a Graph?First find the slope (m) = rise / run of the line.
Rise = 2 units
Run = 1 unit
Slope (m) = 2/1 = 2
Y-intercept (b) = -3.
Since the shaded side is at the left, we are going to use the ">" sign. Substitute m = 2 and b = -3 into y < mx + b.
y < 2x - 3
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the survey report suggest that 2 out of three boy likes to play baseball what is the decimal expansion of two thirds
What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
The probability of event A is P(A) = 1/4 or 0.25.
The formula to find P(A) for a series of simple events is:
P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)
For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:
- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.
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Consider the differential equation Y = C. What is the magnitude of the error in the two Euler approximations you found? Magnitude of error in Euler with 2 steps = Magnitude of error in Euler with 4 steps = D. By what factor should the error in these approximations change (that is, the error with two steps should be what number times the error with four)? factor = (How close to this is the result you obtained above?) y(1) (Be sure not to round your calculations at each step!) B. What is the solution to this differential equation (with the given initial condition)? (Be sure not to round your calculations at each step!) Now use four steps: : when . A. Use Euler's method with two steps to estimate with initial condition
To estimate the solution to the differential equation Y' = C using Euler's method with two steps, we need to divide the interval [0, 1] into two subintervals.
Let's denote the step size as h, where h = (1 - 0) / 2 = 0.5.
Using Euler's method, the general formula for the next approximation Y(i+1) is given by:
Y(i+1) = Y(i) + h * C
Given the initial condition Y(0) = 0, we can calculate the two approximations:
First step:
Y(1) = Y(0) + h * C
= 0 + 0.5 * C
= 0.5C
Second step:
Y(2) = Y(1) + h * C
= 0.5C + 0.5 * C
= C
So, the two Euler approximations with two steps are:
Y(1) = 0.5C
Y(2) = C
Now, let's calculate the magnitude of the error in these approximations compared to the exact solution.
The exact solution to the differential equation Y' = C is given by integrating both sides:
Y = C * t + K
Using the initial condition Y(0) = 0, we find that K = 0.
Therefore, the exact solution to the differential equation is Y = C * t.
Now, we can compare the Euler approximations with the exact solution.
Magnitude of error in Euler with 2 steps:
Error_2 = |Y_exact(1) - Y(1)|
= |C * 1 - 0.5C|
= 0.5C
Magnitude of error in Euler with 4 steps:
To calculate the error in the Euler approximation with four steps, we need to divide the interval [0, 1] into four subintervals. The step size would be h = (1 - 0) / 4 = 0.25.
Using the same formula as before, we can calculate the Euler approximation with four steps:
Y(1) = Y(0) + h * C
= 0 + 0.25 * C
= 0.25C
Y(2) = Y(1) + h * C
= 0.25C + 0.25 * C
= 0.5C
Y(3) = Y(2) + h * C
= 0.5C + 0.25 * C
= 0.75C
Y(4) = Y(3) + h * C
= 0.75C + 0.25 * C
= C
So, the Euler approximation with four steps is:
Y(1) = 0.25C
Y(2) = 0.5C
Y(3) = 0.75C
Y(4) = C
Magnitude of error in Euler with 4 steps:
Error_4 = |Y_exact(1) - Y(4)|
= |C * 1 - C|
= 0
Therefore, the magnitude of the error in the Euler approximation with 2 steps is 0.5C, and the magnitude of the error in the Euler approximation with 4 steps is 0.
The factor by which the error in the approximations with two steps should change compared to the error with four steps is given by:
Factor = Error_2 / Error_4
= (0.5C) / 0
= undefined
Since the error in the Euler approximation with four steps is 0, the factor is undefined.
The solution to the differential equation Y' = C with the given initial condition Y(0) = 0 is Y = Ct.
Using the exact solution, we can evaluate Y(1):
Y(1) = C * 1
= C
So, the solution to the differential equation with the given initial condition is Y = Ct, and Y(1) = C.
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Help due soon plzzzz help
Answer:
5x + 25 <= 200
Step-by-step explanation:
When it says no more than 200, that means that 200 is the max, so what she spends has to be less than or equal to 200.
Tom owns a Pizza Restaurant. Expenses for the restaurant include raw material for pizza at $7.02 per slice, $121.00 as monthly rental and $56.00 monthly as insurance. A restaurant sells pizza at a rate of $12.02/slice. How many slices should the restaurant sell in a month to break even
For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.
There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices
Monthly rental = $ 121.00
Monthly insurance= $56.00
So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177
The sell rate of pizza = $12.02/slice.
We have to determine the number of slices restaurant sell in a month to break even.
Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00
Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)
= 35.4
= 35 (rounded to whole number)
Hence, 35 slices must be sold for break even.
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The geometry of the clf3 molecule is best described as
a. distorted tetrahedral.
b. tetrahedral.
c. trigonal pyramidal.
d. trigonal planar.
e. t-shaped.
Answer:
The right option is option e.T-shaped.
Step-by-step explanation:
The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs
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Option e) T-shaped
Hybridization in chemistry is defined as the concept of mixing two atomic orbitals to create a new type of hybridized orbital. This mixing often leads to the formation of hybrid orbitals of different energies, shapes, etc. completely different. During hybridization, atomic orbitals of equivalent energies are mixed and mainly involves the fusion of two "s" or two "p" orbitals, or the mixing of "s" orbitals with the "p"" orbitals as well as "s` orbitals with `d` orbitals. The newly formed orbitals are called hybrid orbitals.The shape or molecular geometry of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.
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The recursive formula for a geometric sequence is:
[a₁ = 6
an = an-₁ • (2)
What is the 3rd term of this sequence?
O A. 8
OB. 24
OC. 10
OD. 12
The 3rd (third term )of the sequence with a₁ = 6 and aₙ = aₙ₋₁ • 2 using Geometric Sequence is 24.
Understanding Geometric SequenceTo find the third term of the geometric sequence with a recursive formula, we can use the given formula which is a GP formula:
a₁ = 6
aₙ = aₙ₋₁ • 2
Given
First term (a₁) = 6
Therefore
Second term (a₂) = a₁ • 2
= 6 • 2 = 12
Third term (a₃) = a₂ • 2
= 12 • 2 = 24
Therefore, the third term of the sequence is 24.
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The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool at a rate of 150 gallons per minute. Use Scratchpad to show your work for the questions below.
a. It took 30 minutes to empty the tank of the truck. How many gallons of water were in the tank?
gallons
The number of gallons of water in the tank is mathematically given as
x=4500gallons
This is further explained below.
How many gallons of water was in the tank?a British measure of capacity for both liquid and dry goods that is equivalent to four quarts, 277.42 cubic inches, or 4.544 liters, and is sometimes referred to as an imperial gallon.
Since 150 gallons per minute. and 30 minutes
Generally, the equation for the number of gallons is mathematically given as
x=150*30
x=4500
In conclusion,
x=4500gallons
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one in every 9 people in a town vote for party a. all others vote for party b. how many people vote for party b in a town of 810?
If one in every 9 people in the town vote for party A, then the remaining 8 out of 9 people would vote for party B. Therefore, we can calculate the number of people who vote for party B by multiplying the total number of people in the town by 8/9.
So, in a town of 810 people, 720 people would vote for party B, while the remaining 90 people would vote for party A.
In a town of 810 people, one in every 9 people votes for party A, and all others vote for party B. To find the number of people voting for party B, first, calculate the number of people voting for party A: 810 / 9 = 90 people. Since the remaining people vote for party B, subtract the number of party A voters from the total population: 810 - 90 = 720 people. or 810 x (8/9) = 720. Therefore, 720 people in the town vote for Party B.
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(3-4i)(3+4i)=
1. 25-24i
2.25+0i
Anita uses one sheet of paper to make a calendar showing each month of the year. Draw Anita’s calendar. Show how she can divide her calendar so that each month is given the same space. What fraction of the calendar does each month receive
The requried, each month receives 1/12 of the calendar or about 8.33% of the total space.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.
Here,
Anita can start by drawing a large rectangle on the paper to represent the entire year. Then, she can divide the rectangle into 12 equal parts, each representing a month. One way to do this is to draw four vertical lines to divide the rectangle into five equal columns, and then draw three horizontal lines to divide each column into four equal rows.
Each of the 12 parts represents 1/12 or one-twelfth of the calendar. Therefore, each month receives 1/12 of the calendar, or about 8.33% of the total space.
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Find the factors of x3−7x−6
(x+3)(x+2)(x−1)
(x−3)(x+2)(x+1)
(x−4)(x−2)(x+1)
(x−6)(x−1)(x+1)
Answer:
B. (x−3)(x+2)(x+1)Step-by-step explanation:
Possible options are 1 or 2 as each has odd number of negative coefficients.
Open parenthesis and verify:
(x+3)(x+2)(x−1) = ³ + 4x² + x - 6, false(x−3)(x+2)(x+1) = x³ - 7x - 6, true
the precent chaance a certain door is locked is 70%. the key to unlock the door is one of ten keys hanging on a key rack. you get to pick two keys before walking to the door. what is the probability that you will get through the door without returning for more keys?
The required probability for the given event is given as 0.5.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
The probability of a door being locked is 70% = 0.7
Total number of keys is 10.
The number of keys being carried is 2.
Thus, there can be two cases for getting through the door.
Case 1: The door is locked.
The probability to open the door by 1 key is 1/10.
Then, the probability to open the door by 2 keys is 2/10 = 1/5.
Case 2: The door is open.
In this case no keys are needed which means the chance of getting through is the probability of door not being locked which is given as,
1 - 0.7 = 0.3.
Now, the overall probability should consider both the cases as,
P(getting through the door) = P(Door is closed and keys open it)
+ P(The door is open)
= 0.3 + 1/5
= 0.3 + 0.2
= 0.5.
Hence, the probability to get through the door without returning for more keys is 0.5.
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Find f(-3).
f(x) = 4x + 7
The value of f(-3) for the given function f(x) = 4x + 7 will be -5.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
f(x) = 4x + 7
At x = -3
f(-3) = 4(-3) + 7
f(-3) = -12 + 7 = -5
Hence "The value of f(-3) for the given function f(x) = 4x + 7 will be -5".
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Identify the odd function.
A) f(x) = 5
B) f(x) = 8x
C) f(x) = |x3|
D) f(x) = x2 + 7
Answer:
Step-by-step explanation:
odd functions are those function in which
-f(x) = f(−x)
if the function is odd , the graph of function is symmetrical about origin.
_________________________________________________
In the given problem
option B is correct answer
B) f(x) = 8x
replacing x with -x to satisfy the above described condition
f(-x) = 8(-x) = -8x
as we know 8x is equal to f(x)
f(-x) = -8x = -f(x)
hence,
f(-x) = -f(x)
hence, option B is correct answer.
The sum of the interior angles of the polygon is 540 degrees. Create an equation to solve for x:
Part 2: Find the measure of x, then find the measures of each unknown angles
To find the measure of x and the unknown angles in a polygon, we can create an equation based on the sum of the interior angles, which is 540 degrees.final answer is 108°.
Let's assume the polygon has n sides. Each interior angle of a polygon can be calculated using the formula (n - 2) * 180° / n. In this case, we are given that the sum of the interior angles is 540 degrees.
So, we can set up the equation:
(n - 2) * 180° / n * n = 540°
Simplifying the equation:
(n - 2) * 180° = 540°
(n - 2) = 540° / 180°
(n - 2) = 3
Solving for n:
n = 3 + 2
n = 5
Now that we know the polygon has 5 sides, we can find the measure of x by substituting it back into the formula:
x = (5 - 2) * 180° / 5
x = 3 * 180° / 5
x = 540° / 5
x = 108°
In conclusion, the measure of x is 108 degrees, and each of the unknown angles in the polygon would also be 108 degrees since all angles in a regular polygon are equal.
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Help me in this question please
Answer:
m<5= m<3
m<11= m<14
m<16= m<9
What is the vertex of g(x) = 3x2 − 12x + 7?
\(\mathbf{Task.} ~ \mathrm{What~is~the~vertex~of}~ g(x) = 3x^{2} - 12x + 7?\)
\(\mathrm{Function~of~the~form} ~ f(x) = ax^{2} + bx + c, ~ a \neq 0, ~ \mathrm{is~ called~a~quadratic~function.}\\\mathrm{The~top} ~ (x_{0}; \ y_{0}) ~ \mathrm{of~this~function~can~be~found~by~the~formulas \colon}\)
\(x_{0} = \dfrac{-b}{2a};\)
\(y_{0} = ax_{0}^{2} + bx_{0} + c ~ \mathrm{or} ~ y_{0} = -\dfrac{b^{2} - 4ac}{4a}.\)
\(\mathrm{So,~for~the~function} ~ g(x) = 3x^{2} - 12x + 7 ~ \mathrm{we~have \colon}\)
\(x_{0} = \dfrac{-(-12)}{2 \cdot 3} = \dfrac{12}{6} = 2;\)
\(y_{0} = 3 \cdot 2^{2} - 12 \cdot 2 + 7 = -5.\)
\(Answer \colon (2; \ -5) \ \blacktriangle\)
Answer:
C
Step-by-step explanation:
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Find the sum of the first 36 terms in the arithmetic series -0.2, 0.3, 0,8...
a. 318.6 b. 332.2 c. 307.8 d. 315
Answer:
b.332.2
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the highest student changed the distribution by a lot
hehe pls help me! DUGUIETUFGI
Answer:
Napagaralan nmin yan
Step-by-step explanation:
Nakalimutan ko na
Help me solve this problem please
Answer:
subtracted 2x from both sidesStep-by-step explanation:
4x = 2x + 402 subtract 2x from both sides
4x - 2x = 2x - 2x + 402
2x = 402
Can someone help me in math.
Please.
770 × 6 = 77 × 6 × 100
help plase
Answer:
x=10
Step-by-step explanation:
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