Answer:25
Step-by-step explanation:
We have the rate: 35 deliveries in 3.5 hours. or 35/3.5
Find the unit rate -> 35/3.5/
/3.5/3.5
10/1
10
10 deliveries per hour
in 2.5 hours
10*2.5
25
*Assuming the rate of deliveries is constant*
Find the value of $x$ so that $3^x = (-27)^{-6}$.
[tex]3^x=(-27)^{-6} \\ \\ 3^x=(-3^3)^{-6} \\ \\ 3^x=(3^3)^{-6} \\ \\ 3^x=3^{-18} \\ \\ \boxed{x=-18}[/tex]
Write the following equation in slope-intercept form and identify the slope and y-intercept.
6x - 4y = 11
Answer:
Step-by-step explanation:
This in standard form (Ax + By = C.) In order to make this slope-intercept form, you need to isolate y.
y = -1.5x + 2.75
y=mx + b is slope intercept, where m is the slope and b is the y-intercept.
In this case, -1.5 is the slope and 2.75 is the y-intercept.
Hope this helps!!
Please help ASAP I don;t understand it
Answer:
the points that will fall on a line where the constant of proportionality is k are A) (6,8) and B) (3,2).
Step-by-step explanation:
A point (x,y) falls on a line where the constant of proportionality is k if y is equal to k times x. In other words, the equation for the line is y = kx.
Given this, we can determine which of the given points fall on a line where the constant of proportionality is k by evaluating whether the y-coordinate of each point is equal to k times the x-coordinate.
For example, if k = 2, then the point (6,8) falls on the line y = 2x because 8 is equal to 2 times 6. Similarly, the point (3,2) falls on the line y = 2x because 2 is equal to 2 times 3.
On the other hand, the point (6,4) does not fall on the line y = 2x because 4 is not equal to 2 times 6.
Therefore, the points that will fall on a line where the constant of proportionality is k are A) (6,8) and B) (3,2).
Note that if k is not specified, then any of the given points could potentially fall on a line where the constant of proportionality is k, depending on the value of k.
A contractor bought 6.4ft^2 of sheet metal. has used 2.1ft^2 so far and has $129 worth of sheet metal remaining. The equation 6.4x - 2.1x = 129 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
30$ per ft^2
Step-by-step explanation:
6.4x-2.1x=129
4.3x=129
x=30
:]
Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x) = x^(-1), a = 0.9
A linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate is L(x)=-6 -4x .
What is function ?
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
Nearest integer is x =-1
Centre of linearization as x =-1
f(x)=3x2 +2x -3
f(-1)=3(-1)2 +2(-1) -3
f(-1)=-2
f(x)=3x2 +2x -3
f '(x)=6x +2
f '(-1)=6(-1) +2
f '(-1)= -4
L(x)=f(-1) + f '(-1) (x-(-1))
L(x)=-2 -4(x+1)
L(x)=-2 -4x -4
L(x)=-6 -4x
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Is the following statement linear or exponential?
Lalo's hair is also known to grow rapidly. It began at a length of 6 in and grew at a constant rate of 1 in per month. HELP PLEASE Nobody is helping me :(
Answer:
Step-by-step explanation:
exponential
- 4y + 11 = -3(2y + 1)
Answer: y=-7
Step-by-step explanation:
Answer: y=-7
Step-by-step explanation:
consider the following method. public int pick(boolean test, int x, int y) { if (test) return x; else return y; }
If P is the minimum number of tests to achieve full statement coverage for f(x) and Q is the minimum number of tests to achieve full branch coverage for f(x), then (P,Q) =(3, 4)
Branch coverage: During program testing, every branch in a statement must be run at least once.
Coverage of the statement:
This means that during testing, every statement in the computer code must be run at least once.
All of the statements must be executed in order to obtain complete statement coverage.
Statement coverage is calculated as (statement executions divided by total statement executions).
To obtain complete statement coverage in the code above, two test cases are necessary.
Case 1: If the if condition is satisfied,
{
int res=0;
if(m<0) {res=n-m;}
return res;
}
These commands will be carried out.
Case 2: All remaining statements will also be put into effect when the other two cases of else do. Full statement coverage is attained after three tests.
Branch coverage: It includes both true and false situations and is decision-based.
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John drew a triangle with side lengths of 5, 12 and 13. His friend, Bryan, looked at it and asked John if it is a right triangle. John’s response was yes. Explain or show how John can prove to Bryan that the triangle is a right triangle
It's a right angle as 13² is the addition of 5² and 12².
How to prove the right angle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangled triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
In this case, the values given are 5, 12 and 13. This will be illustrated thus:
5² + 12² = 13²
25 + 144 = 169
169 = 169
This was done based on Pythagoras theorem.
Therefore, it's a right angle.
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Any help on this question
Using trigonometric relations we will see that:
a = 5*√3
b = 5
The correct option is the one you marked.
How to get the values of a and b?For a right triangle with a known hypotenuse H and a known angle x, we can use the trigonometric relations:
cos(x)= (adjacent cathetus)/h
sin(x) = (opposite cathetus)/h
Here the hypotenuse measures 10 units, and the known angle is x = 30°.
The adjacent cathetus to that angle is a, so we can write:
cos(30°) = a/10
a = cos(30°)*10 = 10*√3/2 = 5*√3
And b is the opposite cathetus:
sin(30°) = b/10
b = 10*sin(30°) = 5
Then the correct option is the one you marked.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
a) The exponential function that models the population in t years after 2000 is of: P(t) = 14300(1.06)^t.
b) The estimate for the population in 2008 is of: 22792.
How to define the exponential function?Considering it's standard format, the increasing exponential function is defined as follows:
P(t) = P(0)(1 + r)^t.
In which the parameters of the function are defined as follows:
P(0) is the population in the reference year of 2000.r is the growth rate, as a decimal.Hence the values of these parameters are given as follows:
P(0) = 14300, r = 0.06.
Thus the function is given by:
P(t) = 14300(1.06)^t.
2008 is eight years after 2000, thus the estimate is P(8), which is obtained as follows:
P(8) = 14300 x (1.06)^8 = 22792.
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A cookie recipe calls for 4 cups of flour for every 1 cup of sugar. If you want to make multiple batches of the cookies and you use 8 cups of sugar, how much flour will you use?
Answer:
8x4=32
Step-by-step explanation:
I hope I helped you
PLEASE HELP ASAP!!! Will IMMEDIATELY give Brainliest to the correct answer!! 100 pt question!!
The function f(x)=∣x−3∣ can be used to determine how far a number x is away from the number 3 on the number line. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
The function f(x) = |x - 3| can be used to determine how far a number x is away from the number 3 on the number line. To find the function value for a given x, we first need to subtract 3 from x and then take the absolute value of the result. For example, if x = 5, then the function value would be f(5) = |5 - 3| = |2| = 2.
The domain of the function is the set of all possible values of x that we can plug into the function to get a real number result. In this case, the function will work for any real number value of x, so the domain of the function is the set of all real numbers, which can be written as:
Domain: (-∞, ∞)
In other words, the function f(x) = |x - 3| can be used to determine how far any real number x is away from the number 3 on the number line.
b) On the grid draw the graph of x + y = 6
for values of x between -2 and 3.
Answer:
x=1 y=6
Step-by-step explanation:
???
a researcher obtained a random sample of 100 smokers and a random sample of 100 non smokers. after interviewing all 200 participants in the study, the researcher compared the rate of depression among the smokers with the rate of depression among nonsmokers
observational study
Based on the study, the researcher may develop a hypothesis that smoking is associated with an increased risk of depression.
What is Hypothesis?An explanation that is put up for a phenomena or a group of facts is called a hypothesis. It is a speculative explanation that needs more testing and improvement because it is supported only by a small body of data. A hypothesis is not a tested theory, but rather a point of departure for more research. A hypothesis is examined in scientific study by testing and observationit. The purpose of hypothesis testing is to evaluate the likelihood that the suggested explanation is accurate and to spot any discrepancies or holes in the available data. The act of testing and improving hypotheses is a crucial component of the scientific method since it ensures that scientific ideas are supported by reliable data.
How to solve?
This hypothesis can then be tested through further research, such as conducting a larger study with more participants, or conducting experiments to evaluate the potential mechanisms by which smoking may affect the development of depression.
The researcher may also use statistical methods to analyze the data collected from the study, in order to determine the significance of the relationship between smoking and depression.
If the hypothesis is supported by the evidence, the researcher may conclude that smoking is a risk factor for depression, and may recommend interventions or preventative measures to reduce the risk of depression among smokers.
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Jane's family divided up their garden so that 2/3 of garden will have vegetables. Jane and her sister will plant2/3 of the vegetable portion of the garden. How much will the sisters plant?
3/2 part of the garden is planted by both the sisters.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
Jane's family divided up their garden so that 2/3 of garden will have vegetables.
Jane and her sister will plant2/3 of the vegetable portion of the garden
2/3 is the vegetable portion
In this vegetable portion 2/3 part is of the vegetable portion of the garden
3/2/2/3
3/2×3/2
6/4
3/2
Hence, 3/2 part of the garden is planted by both the sisters.
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fill in the blank so that the equation is a prefect square trinomial
Your business has conducted five market research surveys in the past year. The cost per survey is as follows: Survey 1: $725 Survey 2: $850, Survey 3: $1,250, Survey 4: $1,350, Survey 5: $900. What is the median cost of the market research surveys?
a) $900
b) $1,015
c) $1,092
d) $1,250
The median cost of the market research surveys is $900 so option (a) is correct.
What are the mode and median?Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.
As per the given surveys,
Survey 1: $725 Survey 2: $850, Survey 3: $1,250, Survey 4: $1,350, Survey 5: $900.
Write the surveys in the increasing format as
$175,$850,$900,$1250,$1350
The median will be the middle value thus $900 will be correct.
Hence "The median price of the surveys for market research is $900".
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Andrea's record label released her new album. Andrea wants to know when she has sales of at least $20,000 per week. She uses the related equation below to determine when sales will be at least this amount, where t represents time in weeks.
please finish the other half
Answer:
10 ≤ t ≤ 20 or t ∈ [10; 20]----------------------------
The other half is:
t - 15 ≥ - 5t ≥ - 5 + 15t ≥ 10The answer, considering both halves, is:
10 ≤ t ≤ 20or
t ∈ [10; 20]Answer:
[tex]10 \leq t \leq 20[/tex]
Step-by-step explanation:
Given absolute value inequality:
[tex]1000(-2|t-15|+30) \geq 20000[/tex]
Isolate the absolute value on one side of the equation:
[tex]\implies \dfrac{1000-2|t-15|+30)}{1000} \geq \dfrac{20000}{1000}[/tex]
[tex]\implies -2|t-15|+30 \geq 20[/tex]
[tex]\implies -2|t-15|+30-30 \geq 20-30[/tex]
[tex]\implies -2|t-15|\geq -10[/tex]
[tex]\implies \dfrac{-2|t-15|}{-2}\geq \dfrac{-10}{-2}[/tex]
[tex]\implies |t-15|\leq 5[/tex]
[tex]\textsf{Apply absolute rule:\quad {If} $|u| \leq a, \;a > 0$ \;then\; $-a \leq u \leq a$}[/tex]
[tex]\implies -5 \leq t-15\leq 5[/tex]
Solve both equations:
[tex]\begin{aligned}\underline{\sf Equation\;1} && \underline{\sf Equation\;2}\\t-15 &\geq -5 \quad & t-15& \leq 5\\t-15+15& \geq-5+15 &\qquad t-15+15& \leq 5+15\\t&\geq10 & t &\leq20\end{aligned}[/tex]
Merge the overlapping intervals:
[tex]10 \leq t \leq 20[/tex]
Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the upper and lower sums for f(x) = 1 + cos - SXST, with n = 3, 4, and 6. Illustrate each case with a sketch similar to the figure shown below.
The upper and lower sums for f(x) = 1 + cos - SXST, with n = 3, 4, and 6 is 10.1913798 and 10.19913798.
What is upper and lower sums?
Using rectangles that are both enscribed in and circumscribed by a curve, we may approximate the area under a curve. The total area of the rectangles that are inscribed is the lower sum, while the total area of the rectangles that are circumscribed is the higher sum.
[tex]$n=6: \quad \Delta x=\frac{2 \pi}{6}$[/tex]
[tex]\begin{aligned}& \text { Lower sum }=\frac{2 \pi}{6}\left[f(-\overline{4})+f\left(-\frac{2 \pi}{3}\right)+f\left(-\frac{\pi}{3}\right)+f(0)+f\left(\frac{\pi}{3}\right)+f\left(\frac{2 \pi}{3}\right)\right] \\& c_6=\frac{2 \pi}{6}[1+1.5+1.8660256+2+1.8660254+1.5] \\& c_6=10.1913798\end{aligned}[/tex]
upper sum:
[tex]\begin{aligned}& =\frac{2 \pi}{6}\left[f\left(-\frac{2 \pi}{3}\right)+f\left(-\frac{\pi}{3}\right)+f(0)+f\left(\frac{\pi}{3}\right)+f\left(\frac{2 \pi}{3}\right)+f(\pi)\right] \\R_6 & =\frac{2 \pi}{6}[1.5+1.8660254+2+1.8660254+1.5+1] \\R_6 & =10.1913798]\end{aligned}[/tex]
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What are the zeros of this function?
Answer:
B. x = 0 and x = 5
Step-by-step explanation:
The zeros of this function are x = 0 and x=5
_________________
Have a great day!
Please help me on math very easy graphing! thank you!! due soon
Linear regression is a system of plotted points which shows a relationship between two given variables. The required linear equation is: y = 4x.
A graph is a plotted coordinate on a Cartesian plane which shows the relationship between two variables. A system of plotted points in relations to variables that shows a linear relationship is termed linear regression.
In a linear regression, the plotted points can be described by an equation:
y = bx + c
where: y is the dependent variable
x is the independent variable
b is the slope of the graph
c is the intercept
Therefore, considering the given question;
the slope of the graph = [tex]\frac{change in y}{change in x}[/tex]
= [tex]\frac{12 - 4}{3 - 1}[/tex]
= [tex]\frac{8}{2}[/tex]
slope of the graph = 4
While there is no intercept, thus intercept is zero.
Therefore, the required equation that shows the relationship between liters of water and number of minutes is:
y = 4x
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What is the solution to the division problem below? (You can use long division or synthetic division.)
(2x2 + 7x-15) - (x+ 5)
What is the correct to this answer ???? ( answers only)
Answer:
x>9
Step-by-step explanation:
2x-5>13
2x>13+5
2x>18
x>18/2
x>9
Answer:
x > 9
Step-by-step explanation:
To find the solution to this inequality we need to follow these steps:
2x - 5 > 13
add 5 to both sides2x > 18 (-5 will be eliminated by +5 on the left side while 13 will be 18 when 5 added to it)
divide both sides by 2x > 9
A diver starts out at 426 feet below the surface (or -426 feet). She then swims upward 212 feet. Use a signed number to represent the diver's current depth
Step-by-step explanation:
this is a college question ?
oh, my dear ...
we start at -426 ft.
swimming upwards reduces depth by adding hight.
so,
-426 + 212 = -214 ft
basically the same method is used as if we would subtract 212 from 426.
so, the diver is currently at -214 ft (214 ft below the surface).
Consider the function f(x)=x³+7 x²-36
1. Consider the function f(x)=x³+7 x²-36.
a. [1 pts] Find f(2).
b. [4 pts] Factor f(x). Show all your work. (Hint: You can use the fact that if f(a)=0, then the f(x) must have (x-a) as a factor.
2. Miguel decided to invest some of his money in an account gaining $3 % interest compounded semiannually. He ultimately would like to purchase a 560,000 car.
a. [5 pts] How much would he have to invest initially to have the necessary money in 4 years? Round your answer to the nearest whole dollar
By using the concept of factorization and compound interest, it can be calculated that-
1a) f(2) = 0
b) f(x) = (x - 2)(x + 6)(x + 3)
2) Miguel must initially invest 497118.23
What is factorization and compound interest?
Factorization is the reduction of an algebraic expression into two or more algebraic expressions of smaller degree
If the interest on a certain principal at a certain rate over a certain period of time increases exponentially rather than linearly, the interest earned is called compound interest.
1) a) f(x) = x³+7 x²-36
f(2) = 2³+7(2)²-36
f(2) = 36 - 36 = 0
b) Since f(2) = 0, (x - 2) is a factor of f(x)
f(x) = x²(x - 2) + 9x(x - 2) + 18(x - 2)
f(x) = (x - 2)(x² + 9x + 18)
f(x) = (x - 2)(x² + 6x + 3x + 18)
f(x) = (x - 2){x(x + 6) + 3(x + 6)}
f(x) = (x - 2)(x + 6)(x + 3)
c) Let the principal be $p
Rate = 3%
Time = 4 years
[tex]560000 = p(1 + \frac{3}{200})^{4 \times 2}\\\\560000 = p(\frac{203}{200})^8\\\\\\p = 560000 \times (\frac{200}{203})^8\\\\p = 497118.23[/tex]
Miguel must initially invest 497118.23
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Where, if anywhere, does h(x) = m(x) when h(x) = (x+2)^2-9 and m(x) = x-10
Answer:
Where, if anywhere, does h(x) = m(x) when h(x) = (x+2)^2-9 and m(x) = x-10
wut do i have to find
Step-by-step explanation:
K
Problem Solving
X 4.3.PS-7
Simplify the expression.
-2.6f+0.2f-15-9
-2.6f+0.2f-15-9=
(Simplify your answer. Use integers or decimals for any numbers in the
Answer:
(23x+4.2)
Step-by-step explanation:
Find all angles, 0°≤θ≤360° that solve the following equation.
sin θ=-1
The solution for the given equation is, θ = 270°.
What is solving an equation?
Finding an equation's solutions, or the values that satisfy the condition stated by the equation, is known as solving an equation in mathematics. Solutions typically consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.
Consider, the given inequality
sinθ = -1
The general solution for sinθ = -1 is
θ = 270° + 360°n
But the condition is, 0° ≤ θ ≤ 360°
Hence, the solution for the given equation is, θ = 270°.
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Find the degrees of freedom if N is 12.
The degrees of freedom is [tex]12N[/tex]
What is degrees of freedom?
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.
[tex]\text { Least Common Multiplier of } N, 12: 12 N[/tex]
Find Least Common Multiplier of [tex]$N, 12$[/tex]
Lowest Common Multiplier [tex](LCM)[/tex]
The LCM of [tex]$a, b$[/tex] is the smallest multiplier that is divisible by both [tex]$a$[/tex] and[tex]$b$[/tex]
Factor 12
[tex]$2^2 \cdot 3$[/tex]
Multiply each factor with the highest power:
[tex]12 \mathrm{~N}[/tex]
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