Shan exercises daily. Today he did 85 pushups, which is 20 more than he usually does. How many pushups p does Shan usually do? Write an equation to represent this situation, and then solve the problem.
[equation]
Shan does [ ] pushups
Answer:
85 - 20 = p
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Equation: 85-20=65
The two triangles shown have the same perimeters. What is the perimeter of each triangle
Answer:
28 units
Step-by-step explanation:
Since the perimeter of both triangles is same,
the sum of all sides of first triangle = sum of all sides of second triangle
or, 6x + 3 + 2x + 4x = 5x + 5x + 3x + 2
or, 12x + 4 = 13x + 2
or, 4-2 = 13x - 12x
or, 2 = x
Now,
Putting the value of x in the perimeter of first triangle,
12x + 4= 12* 2+ 4
= 28 units
Select the values that make the inequality r > -1 true.
-9
-6
-4
-2
-1.1
-1.01
-1.001
-0.999
-0.99
-0.9
0
2
4
7
The values of these numbers that satisfies the inequality for which r > - 1 are: -0.999, -0.99, -0.9, 0, 2, 4, 7
What are inequalities?
Inequality is a conditional relation that compares two numbers or expressions in a way that is not equal. Commonly, it is used to contrast the relative sizes of two numbers on a number line.
From the given information, the values that make the inequality r > - 1 are those values that if replaced with r must be greater than -1 on the number line.
On the number line, we have the negative numbers on the -ve x-axis to the left and they are smaller than the positive numbers to the right, and this is immediately apparent when looking at a number line.
The values of these numbers are: -0.999, -0.99, -0.9, 0, 2, 4, 7.
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Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers
The same well-liked crackers are discounted at Value Grocery Mart and Market City are 5.25, 10.5, 15.75, and 21.
As the cost per pack is C=1.75b. C is the Cost in dollars.
3×1.75=5.25
6×1.75=10.5
9×1.75=15.75
12×1.75=21
What are chart and tabular forms?An example of a chart is one that uses symbols to depict the data, such as bars in a bar chart, columns in a line chart, or slices in a pie chart. A chart can convey various information by representing tabular numerical data, functions, or certain types of quality structures.
Users can change numerous rows and columns in a table at once using a tabular form and a single page.
A chart displays data that can be shown as a table, graph, or diagram. There are different ways to convey vast amounts of information in it.
Here, the table is.
Number of Boxes of Crackers ║ Grocery Mart ║ Market City:
3 ║ 5 ║ 5.25
6 ║ 10 ║ 10.5
9 ║ 15 ║ 15.75
12 ║ 20 ║ 21
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Suppose the daily customer volume at a call center has a normal distribution with mean 5,800 and standard deviation 900. What is the probability that the call center will get between 5,100 and 5,300 calls in a day
The probability that the call center will get between 5,100 and 5,300 calls in a day is approximately 0.0685 or 6.85%.
To find the probability that the call center will get between 5,100 and 5,300 calls in a day, we need to calculate the z-scores for both values and then find the cumulative probability between those z-scores.
First, let's calculate the z-scores using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
For 5,100 calls:
z1 = (5,100 - 5,800) / 900 = -0.7778
For 5,300 calls:
z2 = (5,300 - 5,800) / 900 = -0.5556
Next, we use the standard normal distribution table or a calculator to find the cumulative probabilities for z1 and z2. Let's denote the cumulative probability as P(z).
P(z1) ≈ P(z < -0.7778) ≈ 0.2206
P(z2) ≈ P(z < -0.5556) ≈ 0.2891
Since we want to find the probability between 5,100 and 5,300 calls, we subtract P(z1) from P(z2):
P(5,100 < X < 5,300) ≈ P(z1 < Z < z2) ≈ P(z2) - P(z1) ≈ 0.2891 - 0.2206 ≈ 0.0685 or 6.85%.
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Assume that some article modeled the disease progression in sepsis (a systemic inflammatory
response syndrome (SIRS) together with a documented infection). Both sepsis, severe sepsis and
septic shock may be life-threatening. The researchers estimate the probability of sepsis to worsen
to severe sepsis or septic shock after three days to be 0. 10. Suppose that you are physician in an
intensive care unit of a major hospital, and you diagnose four patients with sepsis
There is a 34.39% chance that at least one patient will worsen to severe sepsis or septic shock after three days.
Assuming that the probability of sepsis worsening to severe sepsis or septic shock after three days is 0.10, the probability of a patient with sepsis not worsening to severe sepsis or septic shock after three days is 0.90.
Therefore, the probability that all four patients with sepsis do not worsen to severe sepsis or septic shock after three days is:
\((0.90)^4 = 0.6561\)
This means that there is a 65.61% chance that none of the four patients will worsen to severe sepsis or septic shock after three days.
To estimate the probability that at least one patient will worsen to severe sepsis or septic shock after three days, we can use the complementary probability. That is, the probability that none of the four patients will worsen to severe sepsis or septic shock after three days is 0.6561, so the probability that at least one patient will worsen to severe sepsis or septic shock after three days is:
\(1 - 0.6561 = 0.3439\)
Therefore, there is a 34.39% chance that at least one patient will worsen to severe sepsis or septic shock after three days.
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Please help…
Reciprocal of 1/-15
Answer:
-15 is the reciprocal of 1/-15
Step-by-step explanation:
hope this helps you!!
Answer:
-15/1
-15........................
Charlie solve an equation and go -4 = 4, which means?A. the equation has only 1 solutionB. the equation has no solutionsC. the equation has infinitely many solutions
If he got -4 = 4, the equation has no solution, due that the two numbers are not equal, so they're not an equation
Solve the inequality −3(x−43)≤6
Answer:
x<41
Step-by-step explanation:
-3(x-43)<6
-3x+129<6
-3x<-123
x<41
Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 15 patients per hour. What is the probability that a randomly chosen arrival to be more than 12 minutes?
The probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.
To solve this problem, we can use the fact that the time between arrivals in an exponential distribution follows the exponential distribution with parameter λ, where λ is the rate of arrivals per unit time.
In this case, the rate of arrivals is 15 patients per hour, or λ = 15/60 = 0.25 patients per minute.
Let X be the time between arrivals, then X follows an exponential distribution with parameter λ = 0.25.
To find the probability that a randomly chosen arrival takes more than 12 minutes, we need to calculate:
P(X > 12)
We can use the cumulative distribution function (CDF) of the exponential distribution to calculate this probability. The CDF of the exponential distribution is given by:
\(F(x) = 1 - e^(-λx)\)
So, we have:
P(X > 12) = 1 - P(X ≤ 12)
= 1 - F(12)
= \(1 - (1 - e^(-0.25*12))\)
=\(e^(-3)\)
Therefore, the probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.
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Rewrite 6/4 as a percent.
_ %
Answer:
150%
Step-by-step explanation:
thats the answer, its right
\(\huge\text{Hey there!}\)
\(\mathsf{Rewrite\ \dfrac{6}{4}\ as\ a\ percent}\)
\(\mathsf{\dfrac{6}{4}= 1.5\ as\ a\ decimal. You\ have\ to\ move\ your\ decimal\ TWO\ spaces\ to\ the\ left, then}\\\\\mathsf{you\ should\ have\ your\ answer.}\)
\(\large\mathsf{OR}\)
\(\mathsf{You\ could\ find\ the\ GCF\ (Greatest\ Common\ Factor) of \ both \ of \your \ numbers, \ which\ is \ 2}\)
\(\mathsf{Divide\ both\ of\ your\ numbers\ by\ 2}\)
\(\mathsf{\dfrac{6\div2}{4\div2}}\)
\(\mathsf{6\div2=\bf 3}\)
\(\mathsf{4\div2=\bf 2}\)
\(\mathsf{New equation: \dfrac{3}{2}}\)
\(\mathsf{3\div2 = \bf 1.5}\)
\(\mathsf{1.5\times100 = \bf 150}\)
\(\boxed{\boxed{\large\text{Answer: \huge\bf 150\%}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitirite1040:)}\)
Events A and B are disjointed. P(A) = 3/10; P(B) =2/5 . Find P(A or B). 1/3 7/10 1/10 9/10
Answer:
7/10Step-by-step explanation:
Given
P(A) = 3/10P(B) = 2/5To find
P(A or B)Solution
P(A or B) = P(A) + P(B)P(A or B) = 3/10 + 2/5 = 3/10 + 4/10 = 7/10Answer:
7/10
Step-by-step explanation:
^
if a clock's second hand is one inch long, how many miles, to the nearest mile, does the second hand on the clock above travel in 7 days?
The hand will cover a distance of 1055.04 inches in 7 days.
To establish the distance covered by the hand's point would go in a week, we would first need to determine the radius of the clock's circle, for which the hand serves as a proxy .
To accomplish this, we would utilize the equation 2(pi*radius),
where pi equals 3.14.
The solution to p=2(3.14*1 ) is 6.28 inches.
This indicates that the hand's point moves 6.28inch every 1 hours.
To determine how far the hand moves in a 168 hour, we would multiply 6.28 inch by 168.
As a result, we arrive at the final calculation of 168 inches covered in 7 days as 1055.04 inches.
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Does anybody know the answer to those two questions
Answer:
Question Number 2 is 20
Question number 3 is 18x-32
Step-by-step explanation:
What are all the roots of the equation x^4 + 2x^3 = 13x^2 - 10x ?
try practicing with different examples
Show that does not exist. lim (x,y)→(0,0)
x 6
+y 6
x 3
y 3
To show that the limit of the given function as (x, y) approaches (0, 0) does not exist, we can approach (0, 0) along different paths and show that the function yields different limits.
Let's consider two paths: the x-axis (y = 0) and the y-axis (x = 0).
When approaching along the x-axis, i.e., taking the limit as x approaches 0 and y remains 0, we have:
lim (x,y)→(0,0) x^6 + y^6 / (x^3 + y^3)
lim x→0 x^6 / x^3
lim x→0 x^3
= 0
Now, when approaching along the y-axis, i.e., taking the limit as y approaches 0 and x remains 0, we have:
lim (x,y)→(0,0) x^6 + y^6 / (x^3 + y^3)
lim y→0 y^6 / y^3
lim y→0 y^3
= 0
Since the limits along both paths are different (0 for x-axis and 0 for y-axis), we can conclude that the limit of the function as (x, y) approaches (0, 0) does not exist.
In summary, the limit of the function (x^6 + y^6) / (x^3 + y^3) as (x, y) approaches (0, 0) does not exist.
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I NEED HELP RIGHT NOW ! PLEASE HURRY UP ASAP
Answer:
D.
Step-by-step explanation:
student x pushes a 10-n box with a force of 2 n. at the same time, student y pushes the same box with a force of 6 n, but in the opposite direction. which would most likely occur? (ignore friction.)
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and
the perimeter of the rectangle can be described with the equation 2•length + 2•width = 48.
Find the length, in centimeters, if the width is:
1. 10 centimeters
2. 3.6 centimeters
3. W centimeters
What is the perimeter of △ABC? Round each step to the nearest tenth. Enter your answer in the box. units A coordinate grid containing triangle A B C with points A begin ordered pair five comma negative one end ordered pair, B at begin ordered pair negative one comma one end ordered pair, C at begin ordered pair zero comma negative three end ordered pair.
ΔABC
A(-3, -1), B(0, 3), C(1, 2)
Find
the length of the perimeter of ΔABC to the nearest tenth
Solution
The perimeter of a triangle is the sum of the lengths of its sides. The length of each side can be found using the Pythagorean theorem. Effectively, each pair of points is treated as the end-points of the hypotenuse of a right triangle with legs parallel to the x- and y-axes. The leg lengths are the differences betweeen the x- and y- coordinates of the points.
The difference of the x-coordinates of segment AB are 0-(-3) = 3. The y-coordinate difference is 3-(-1) = 4. So, the leg lengths of the right triangle whose hypotenuse is segment AB are 3 and 4. The Pythagorean theorem tells us
... AB² = 3² +4² = 9 +16 = 25
... AB = √25 = 5
You may recognize this as the 3-4-5 triangle often introduced as one of the first ones you play with when you learn the Pythagorean theorem.
LIkewise, segment AC has coordinate differences of ...
... C - A = (1, 2) -(-3, -1) = (4, 3)
These are the same leg lengths (in the other order) as for segment AB, so its length is also 5.
Segment BC has coordinate differences ...
... C - B = (1, 2) -(0, 3) = (1, -1)
The length of the line segment is figured as the root of the sum of squares, even though one of the coordinate differences is negative. The leg lengths of the right triangle used for finding the length of BC are the absolute value of these differences, or 1 and 1. Then the length BC is
... BC = √(1² +1²) = √2 ≈ 1.4
So the perimeter of the triangle ABC is
... AB + BC + AC = 5 + 1.4 + 5 = 11.4 . . . . perimeter of ∆ABC in units
_____
Please be aware that the advice to "round each step" is bad advice, in general. For real-world math problems, you only round the final result. You always carry at least enough precision in the numbers to ensure that there will not be any error in the final rounding.
In this problem, the only number that is not an integer is √2, so it doesn't really matter.
Nonverbal instruments have been developed primarily in an attempt to:a. assess skill related to mathematics.b. control for the influences of language and culture.c. measure children's pre-reading skills.d. assess issues that individuals cannot verbalize.
Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.
The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.
The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.
A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.
A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.
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you have 2 cones with surface area 52 and 637 what is the slant height
According to the question we have the slant height of the second cone is approximately 15.5 - √(637/π).
To find the slant height of the cones, we need to use the formula for the surface area of a cone, which is:
SA = πr² + πrl
where SA is the surface area, r is the radius of the base, l is the slant height, and π is the constant pi.
For the first cone, we have:
52 = πr² + πrl
We can simplify this equation by factoring out πr:
52 = πr(r + l)
Dividing both sides by πr, we get:
52/πr = r + l
Substituting the given surface area, we have:
52/πr = r + l
52/π(√(52/π)) = √(52/π) + l
6.5 ≈ √(52/π) + l
l ≈ 6.5 - √(52/π)
So the slant height of the first cone is approximately 6.5 - √(52/π).
For the second cone, we have:
637 = πr² + πrl
Following the same steps as before, we get:
637/πr = r + l
637/π(√(637/π)) = √(637/π) + l
15.5 ≈ √(637/π) + l
l ≈ 15.5 - √(637/π)
Therefore, the slant height of the second cone is approximately 15.5 - √(637/π).
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John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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Find the area of the figure. Express the answer in terms of x and then
round to the nearest tenth.
Find the area of the figure in terms of x.
A=
C...
A≈
(Type an exact answer, using a as needed.)
Find the area of the figure rounded to the nearest tenth.
Square
6 cm
Answer:
Step-by-step explanation:
Area of the square = 6^2 = 36 cm^2
radius = 6 : 2 = 3 cm
Area of the four semicircles = 3^2 * π * 2 = 18 π cm^2
Total area in terms of π= 36 + 18π = 18(2+π) cm^2
Total area = 18(5.141593) = 92.548668 = 92.5 cm^2
write the function in terms of unit step functions. find the laplace transform of the given function. f(t) = 5, 0 ≤ t < 4 −5, t ≥ 4
The Laplace transform of the given function f(t) is (5 - 5e^(-4s))/s.
We can write the given function f(t) in terms of unit step functions as follows:
f(t) = 5u(t) - 5u(t-4)
This expression gives us the value of f(t) as 5 for 0 ≤ t < 4, and as -5 for t ≥ 4.
To find the Laplace transform of f(t), we use the linearity property of Laplace transforms and the fact that the Laplace transform of a unit step function u(t-a) is given by e^(-as)/s. Therefore, we have:
L{f(t)} = L{5u(t)} - L{5u(t-4)}
= 5L{u(t)} - 5L{u(t-4)}
= 5 * [1/s] - 5 * [e^(-4s)/s]
Simplifying this expression, we get:
L{f(t)} = (5 - 5e^(-4s))/s
Therefore, the Laplace transform of the given function f(t) is (5 - 5e^(-4s))/s.
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Tai went to a shopping mall. He spent $25.75 on a shirt, $15.49 on a hat, and $9.95 on a poster, before tax. Tax
was 8.25% on all purchases. What was the total cost of Tai's purchases, including tax?
Answer: 39.98$
Hope it helped it took me like 10 minutes <3
an exponential function is expressed in the form y ab x the relation represents a growth when
Answer:
b > 1
Step-by-step explanation:
You want to know the conditions on an exponential function that represents growth.
Growth factorThe value of 'b' in the exponential function y = a·b^x is called the "growth factor." Each time x increases by 1 unit, the value of y is multiplied by 'b'. If that product is increasing, the value of 'b' must be greater than 1.
The relation represents growth when b > 1.
An exponential function in the form \(y = ab^x\) represents growth when the base (b) is greater than 1.
What is exponential function?In an exponential function of the form y = ab^x, the base (b) is a crucial component. The behavior of the function depends on the value of the base.
When the base (b) is greater than 1, it means that b is a positive number larger than 1. In this scenario, as the value of x increases, the value of \(b^x\) also increases exponentially. This results in the function \(y = ab^x\) exhibiting growth.
To better understand this growth behavior, let's consider an example. Suppose we have an exponential function \(y = 2^x\). As x increases from 0, the values of \(2^x\) will be as follows:
For x = 0, \(2^0\) = 1
For x = 1, \(2^1\) = 2
For x = 2, \(2^2\) = 4
For x = 3, \(2^3\) = 8
For x = 4, \(2^4\) = 16
As you can see, as x increases, the values of \(2^x\) grow exponentially. This demonstrates the growth behavior of exponential functions when the base is greater than 1.
It's important to note that when the base (b) is between 0 and 1 (exclusive), the exponential function will exhibit decay or decreasing behavior rather than growth.
In summary, an exponential function of the form \(y = ab^x\) represents growth when the base (b) is greater than 1. As x increases, the function values increase exponentially, indicating a growth pattern.
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help please i have 0 clue on what to do
Answer:
Step-by-step explanation:
\(9x6x12\)= 648 the length(12m), width(6m), and height(9m) that all i can give you for now because this got me losing brain sells
Answer:
for the first question the answer is 3
for the second question the answer is 9
Step-by-step explanation:
12/4=3, 6/2=3, 9/3=3
8+8+12+12+6+6 = 52 & 108 + 108 + 72 + 72 + 54 + 54= 468
468 / 52 = 9
50 pionts for answering this, thank you.
Trinity solved the equation 2(x − 3) + 7 − 3x = 11. Her work is shown below. (in the gif)
exsplan the correct justification for ALL the steps (5). Tell what property each step is.
your choses...
Addition Property of Equality
Multiplication Property of Equality
Simplification
Distributive Property
Communitive Property of Addition
The value of x from the given equation is -10.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Step 1: 2x-6+7-3x=11 (Distributive property)
Step 2: 2x-3x-6+7=11 (Commutative property of addition)
Step 3:-x+1=11 (Write equivalent expression)
Step 4: -x=10 (Addition property of equality)
Step 5: x=-10 (Multiplication property of equality)
Therefore, the value of x is -10.
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Work out the value of expression a - 3b when a=16 and b=3.
Answer:
your answer is going to have to be 7