Answer:
Step-by-step explanation:
1). 3
2). $23.63
3). 18.1 seconds
find the slope of a secant line with the intervals of [0,1]
Answer:
m = N/A
Step-by-step explanation:
Can you give me a curve or something?
A farmer goes to the market
with $100 cash. He must buy
exactly 100 animals. There are
cows, geese and chicken for
sale. A cow costs $15, a goose
is $1 and a chicken costs $0.25.
He must buy at least one of
each animal and has to spend
all his money. What does the
farmer buy?
Answer: 6 cows,8 chickens,8 goose
Step-by-step explanation: Add 15+.25+1=16.25
16.25x4=65+35-32.5=2.5
6 animals each right now
6 cows
8 chickens
If the ratio of boys to girls in a school is 2:3, how many boys are there in the school if there are 120 girls?
Answer:
80
Step-by-step explanation:
120 divided by 3 is 40. 40 multiplied by 2 is 80.
Answer:
there are 80 boys
Step-by-step explanation:
1/3 of 120 is 40 so if the ratio is 2:3 then we multiply 40 by 2 to get 80
If a car costs 3. 26 for 25 miles then how much does the car costs for one mile
The car costs $0.1304 for one mile.
Given, a car costs $3.26 for 25 miles. Let x be the cost of the car per mile.
Then, the cost of the car for one mile is x dollars.
So, the cost of the car for 25 miles is 25x dollars.
As per the given data, the cost of the car for 25 miles is 3.26 dollars.
Therefore, we get the equation as:
25x = 3.26 On dividing both sides by 25, we get x = 0.1304 dollars. Thus, the car costs $0.1304 for one mile.
We have to find the cost of the car for one mile.
So, let x be the cost of the car per mile. Then, the cost of the car for one mile is x dollars.
The cost of the car for 25 miles is 25x dollars.
As per the given data, the cost of the car for 25 miles is 3.26 dollars.
25x = 3.26On dividing both sides by 25, we get
x = 0.1304 dollars
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During the 2021 winter storm in texas, snow fell at a constant rate. in 3 hours, 19.5 centimeters of snow fell. how many centimeters of snow fell per hour?
Answer:
19.5/3=6.5 centimeters
Step-by-step explanation:
When probability sampling is done correctly, there should be no systematic bias. A) true. B) false.
A) True. Therefore, there should be no systematic bias when probability sampling is done correctly.
When conducting a research study, it is important to ensure that the sample chosen is representative of the population. Probability sampling is a method that aims to achieve this by giving each member of the population an equal chance of being included in the sample.
When this sampling method is done correctly, it minimizes bias and ensures that the sample is truly representative. For example, let's consider a study on the average height of students in a particular school.
If we were to use probability sampling, we would assign a number to each student and then randomly select a certain number of students from that pool. This would give every student an equal chance of being chosen for the sample, eliminating any systematic bias that might arise if we were to select students based on subjective criteria.
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What is 7 Roman numbers?
Answer:
VII
Step-by-step explanation:
Two 4.0-Ω resistors are connected in parallel, and this combination is connected in series with 3.0 Ω. What is the equivalent resistance of this system?
a. 5.0 Ω
b. 7.0 Ω
c. 1.2 Ω
d. 11 Ω
The equivalent resistance of the system is 5.0 Ω (option a).
When resistors are connected in parallel, the formula to calculate the equivalent resistance is:
1/Req = 1/R1 + 1/R2 + ...
In this case, we have two 4.0 Ω resistors connected in parallel, so the equivalent resistance of the parallel combination is:
1/Req = 1/4.0 Ω + 1/4.0 Ω = 1/2.0 Ω
Now, we have this parallel combination connected in series with a 3.0 Ω resistor. To find the equivalent resistance of the entire system, we add the resistances in series:
Req = 2.0 Ω + 3.0 Ω = 5.0 Ω
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an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 170 engines and the mean pressure was 6.7 lbs/square inch. assume the standard deviation is known to be 1. if the valve was designed to produce a mean pressure of 6.6 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? state the null and alternative hypotheses for the above scenario.
There is sufficient data to infer that the valve does not operate as intended at the 0.1 level.
Null hypothesis: H₀ : μ = 7.6
Alternative hypothesis: Hₐ : μ ≠ 7.6
What is the Null hypothesis?In inferential statistics, the null hypothesis states that two possibilities are equal.
The observed difference is thought to be the sole product of chance, which is the underlying premise.
Statistical tests can be used to calculate the likelihood that the null hypothesis is true.
So,
Null hypothesis: H₀ : μ = 7.6
Alternative hypothesis: Hₐ : μ ≠ 7.6
As the population standard deviation is given when n > 30
So, we'll run the Z test.
Formula: \(z=\frac{x-\mu}{\frac{a}{\sqrt{n}}}\)
Replace the values:
\(\begin{aligned}& z=\frac{7.7-7.6}{\frac{11.6}{\sqrt{160}}} \\& z=2.449\end{aligned}\)
For the p-value, see the z table.
Consequently, p = 0.9927.
The two-tailed nature of the test So, p = 2(1- 0.9927) = 0.0146
α = 0.1
p value< α
Thus, we disregard the null hypothesis.
Hence, at the 0.1 level, there is enough evidence to conclude that the valve does not function as intended.
Therefore, there is sufficient data to infer that the valve does not operate as intended at the 0.1 level.
Null hypothesis: H₀ : μ = 7.6
Alternative hypothesis: Hₐ : μ ≠ 7.6
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Determine whether the differential equation is linear.y′+x√y=x2
The differential equation is not a linear.
The given differential equation is: y′ + x√y = x^2
To determine if this differential equation is linear, we need to check if it can be written in the standard linear form:
y′ + p(x)y = q(x)
Comparing this standard form with the given equation, we can see that the term x√y prevents the equation from being linear. In a linear equation, the dependent variable y and its derivatives (in this case, y′) must appear with a power of 1, and not be inside any non-linear functions like a square root. Since x√y is a non-linear term, the given differential equation is not linear.
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Which graph represents the function f(x) = 4⌈x⌉?
The graph that represents the function f(x) = 4[x] is option C.
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 4 [x]
[x] is the greatest integer function.
We see that,
f(0) = 4 [0] = 0
f(0.5) = 4 [0.5] = 4 x 0 = 0
f(x) = 0 for 0 ≤ x < 1
f(1) = 4 [1] = 4
f(1.5) = 4 [1.5] = 4 x 1 = 4
f(x) = 4 for 1 ≤ x < 2
f(2) = 4 [2] = 4 x 2 = 8
f(2.5) = 4 [2.5] = 4 x 2 = 8
f(x) = 8 for 2 ≤ x < 2
Thus,
The graph on option C has the required coordinates.
f(x) = 0 for 0 ≤ x < 1
f(x) = 4 for 1 ≤ x < 2
f(x) = 0 for 2 ≤ x < 2
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L is the circle with the equation x²+y²=9
full question in photo :)
The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;
a) a = 2
b = -2
c = 4
What is the general equation of a circle?The general equation of a circle is; (x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The coordinates of the radius of the circle
The specified equation of a circle is; x² + y² = 9
The coordinates of the center of the circle, is therefore, O = (0, 0)
a) The coordinates of the points P and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)
((3·√3)/4)/(3/2) = (√3)/2
The specified form of the gradient is; (√3)/a, therefore;
(√3)/a = (√3)/2
a = 2
The value of a is 2
b) The gradient of the tangent to a line that has a gradient of m is -1/m
The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)
The form of the gradient of the tangent at P is b/(√3), therefore;
-2/(√3) = b/(√3)
b = -2
The value of b is; -2
c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates
Slope of the tangent = -2/(√3)
((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)
((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3
(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4
Therefore; c = 4
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I WILL MARK BRAINLIEST FOR THIS!!!!!!!!!!!
Tatiana realizes she needs to bring her grades up if she wants to get into a university. Which of the following is a short-term goal to help her do this?
She will complete all of her homework this week.
She will earn all A's next year.
She will get a job as a lawyer after graduation.
She will get into a graduate degree program.
Answer:
She gets a job as a lawyer after graduation.
Step-by-step explanation:
suppose an atomic reactor has two independent cooling systems. the probability that cooling system a will fail is 0.02 and the probability that cooling system b will fail is 0.03 . what is the probability that both systems will fail simultaneously? round your answer to four decimal places, if necessary.
0.0006 .
The probability that both systems of an atomic reactor will fail simultaneously is 0.0006.
This is calculated by multiplying the probability of cooling system A failing (0.02) by the probability of cooling system B failing (0.03) which results in 0.0006, rounded to four decimal places.
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3=2-b solve this question please
Answer:
b=1
Step-by-step explanation:
Subtract 2 from both sides
b=1
Answer:
Step-by-step explanation:
3 = 2 - b
B + 3 = 2
b = 2 - 3 = - 1
car braked with a constant deceleration of 16 ft/2 , producing skid marks measuring 200 ft before coming to a stop. how fast was the car traveling when the brakes were first applied?
The car was traveling at approximately 40 ft/s when the brakes were first applied.
To find the initial velocity of the car when the brakes were first applied, we can use the kinematic equation:
v^2 = u^2 + 2as
where:
v = final velocity (0 ft/s, as the car comes to a stop)
u = initial velocity (what we want to find)
a = acceleration (deceleration due to braking, -16 ft/s^2)
s = distance (skid marks, 200 ft)
Rearranging the equation, we have:
u^2 = v^2 - 2as
Substituting the given values, we get:
u^2 = 0^2 - 2(-16 ft/s^2)(200 ft)
u^2 = 6400 ft^2/s^2
Taking the square root of both sides, we find:
u = ±80 ft/s
Since we are looking for the initial velocity, we discard the negative value as it represents the opposite direction of motion. Therefore, the car was traveling at approximately 80 ft/s when the brakes were first applied.
Note: It's important to ensure consistent units throughout the calculations, and in this case, we used the unit of feet per second (ft/s) for velocity and feet (ft) for distance.
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TrianglePQR has two known interior angles of 66° and 100°.
TriangleRST has two known interior angles of 14° and 100°.
What can be determined about whether trianglesPQR and RST are similar?
Responses
A. Similarity cannot be determined from the given information.
B. The triangles are not similar.
C. All interior angles must be given to determine similarity.
D. The triangles are similar.
Q10. A number is as bigger than 22 as much it is smaller than 72. The number is:
Answer:
Step-by-step explanation:
Write and solve the inequality.
You can spend at most $10 at the mall. You want to buy a book that costs $6.75 and a cold drink. Write and solve an inequality to represent the amount of money you can spend on your cold drink.
Question 1 / 1
Find the equation of the line through the points (3,6) and (-1, 1).
Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4
What are the dimensions, a, b, and c, of the net? a = m b = m c = m
The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.
What is a prism?A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.
The faces of a prism that are not the top and bottom are referred to as its lateral faces. The class of parallelograms also includes all the lateral faces, all of which are identical to one another.
To find the dimensions of a, b and c, we first open all the faces of prism in first figure, than we compare it with second figure, we find that,
The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.
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(1 ÷ 2 3 ⁄ 4 ) + (1 ÷ 3 1 ⁄ 2 ) = _____.
Answer:
50/77
Step-by-step explanation:
(1÷2 3/4)+(1÷3 1/2)
2 3/4 is same as 11/44
1/2 is same as 7/2
so to divide fraction you have to flip the second number and multiply
so 1 times 4/11=4/11
and 1 times 2/7=2/7
4/11 +2/7=28/77+22/77=50/77
In a linear grammar for all productions there is at most one variable on the left side of any production none of the listed answers are correct for all productions there is at most one variable on the right side of any production for all productions there must be a symbol on the left-hand side all listed answers are correct
In a linear grammar, for all productions, there is at most one variable on the left side of any production. This means that each production consists of a single nonterminal symbol and a string of terminal symbols.
For instance, consider the following linear grammar:
S → aSb | ε
This grammar is linear because each production has only one nonterminal symbol on the left-hand side. The first production has S on the left-hand side, and it generates a string of terminal symbols (a and b) by concatenating them with another instance of S.
The second production has ε (the empty string) on the left-hand side, indicating that S can also generate the empty string.A linear grammar is a type of formal grammar that generates a language consisting of a set of strings that can be generated by a finite set of production rules. In a linear grammar, all productions have at most one nonterminal symbol on the left-hand side.
This makes the grammar easier to analyze and manipulate than other types of grammars, such as context-free or context-sensitive grammars.
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Simplify the expression 2 (2 + 4y) + 3x.
PLS ANSWER ASAP DUE 9:20
Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
Which set is a function? Giving out brainliest and 10 points!!
Answer:
B
Step-by-step explanation:
none of the domain is repeting
erin recevied the following scores on her last four spelling test
The highest of the test score is 17/20.
Whet is the highest test score?We have Erin's score on her last four spelling tests:
= 21/25
In decimal
= 0.84
In percentage:
= 0.84×100
= 84%
= 82% (already in percentage)
= 0.8
In percent:
= 80%
= 17/20
In decimal:
0.85
In percentage:
= 85%
Erin's highest score in this case is 85% or 17/20
The complete question is written below.
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Erin received the following scores on her last four spelling tests. 2125, 82%, 0.8, 1720 2125, 82%, 0.8, 1720 Which of these is Erin's highest score?
Briefly describe The Monty Hall Problem
Evaluate the expression.
(5 - 3)^3 ÷ 2
The given expression is (5 - 3)³ ÷ 2. First, we simplify the expression within the parentheses: 5 - 3 = 2. Substituting 2 for (5 - 3) in the expression, we get 2³ ÷ 2. Now, we evaluate 2³, which is 8. So, the expression simplifies to 8 ÷ 2 = 4.
To evaluate the given expression, we first need to simplify the expression within the parentheses using the order of operations or BODMAS rule (Brackets, Order, Division, Multiplication, Addition, and Subtraction).
In this case, we have only one set of parentheses, which contains a subtraction operation between 5 and 3. So, we perform the subtraction and replace (5 - 3) with 2.
Now, we have (2)³ ÷ 2.
Next, we evaluate 2³, which gives us 8.
Finally, we divide 8 by 2 to get the final answer of 4.
Therefore, the expression (5 - 3)³ ÷ 2 simplifies to 4.
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\(\huge\text{Hey there\bf!}\)
\(\mathtt{(5 - 3)^3 \div 2}\)
\(\mathtt{= (2)^3 \div 2}\)
\(\mathtt{= 2^3 \div 2}\)
\(\mathtt{= 2 \times 2 \times 2 \div 2}\)
\(\mathtt{= 2 \times 2 \times 2 \div 2}\)
\(\mathtt{= 4 \times 2 \div 2}\)
\(\mathtt{= 8 \div 2}\)
\(\mathtt{= 4}\)
\(\huge\text{Therefore your answer should be: }\)
\(\huge\boxed{\mathtt{4}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Please help me with my expressions.
1. 3^5
3^2•3^3
= 3^(2+3) = 3^5
2. 5^3
5^1•5^2
= 5^(1+2) = 5^3
3. 8^7
8^3•8^4
= 8^(3+4) = 8^7
4. 7^8
7^6•7^2
= 7^(6+2) = 7^8
Hope it helps
Please do mark me Brainliest.
polydactyly is a fairly common congenital abnormality in which a baby is born with one or more extra fingers or toes. it is reported in about one child in every 500 . a young obstetrician celebrates her first 100 deliveries. assuming that these 100 births are unrelated and independent, what is the probability that the obstetrician has delivered no child with polydactyly? (enter your answer rounded to four decimal places, for example, 0.1111.)
The probability that the obstetrician has delivered no child with polydactyly is 0.8187.
To find the probability that the obstetrician has delivered no child with polydactyly, we can use the formula:
P(no polydactyly) = \((1 - P(polydactyly))^{number of births}\)
First, we need to find the probability of a child having polydactyly. This is given as 1 in every 500, which can be expressed as a decimal: 1/500 = 0.002.
Next, we find the probability of a child not having polydactyly: 1 - 0.002 = 0.998.
Now, we can find the probability of the obstetrician delivering no child with polydactyly in 100 unrelated and independent births by raising the probability of no polydactyly to the power of the number of births (100):
P(no polydactyly in 100 births) = (0.998)¹⁰⁰ ≈ 0.8187
So, the probability that the obstetrician has delivered no child with polydactyly is approximately 0.8187.
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