Answer:
7
Step-by-step explanation:
How many natural numbers are there between 0 and 7?Explain how you know.
Answer:
There are 9:
1, 2, 3, 4, 5, 6, 7, 8 and 9
Step-by-step explanation:
A new hockey stick costs $57.00 at the sporting goods store. If there is a 6%
sales tax, what is the actual cost of the hockey stick?
Answer:
$60.42
Step-by-step explanation:
0.06 x $57 = $3.42
$57 + $3.42 = $60.42
Hope this helped! :)
Can someone check this for me? It says use the number line to show how you can find the answers for each promblem. Be sure to show the initial plotted point, then the movements in the correct direction.
Indicate your finial answer by putting “=#” at the end of each problem
Answer:
this is correct:)
Step-by-step explanation:
A polynomial function has a degree of 8. What is the maximum number of turning points?
Answer:
7
Step-by-step explanation:
To find the maximum number of turning points of any polynomial function, subtract one from the degree.
Since the degree is 8, subtract 1 from this:
8 - 1
= 7
So, the maximum number of turning points is 7.
EXTRA MONEY IN THE BUDGET: YOU WANT TO FILL YOUR PYRAMID WITH CANDY BUT REALITY SLAPS YOU IN THE FACE AND YOU NEED TO DOWN-GRADE YOUR SIZE AGAIN SO YOU DON'T GO BROKE. WHAT IS A GOOD RATIO TO COMPARE THE ACTUAL PYRAMID TO A PIÑATA-SIZED PYRAMID? ACTUAL: HEIGHT ____ BASE ______ X _____
RATIO: 1: _____ PIÑATA: HEIGHT ______ BASE _____ X _____ WHAT IS THE SURFACE AREA AND VOLUME OF YOUR PIÑATA PYRAMID?
SURFACE AREA: ______ VOLUME: _____
The volume would be:
Volume = (1/3)(1 x 1)(2)
Volume ≈ 0.67 cubic feet
To determine a good ratio for comparing the actual pyramid to a piñata-sized pyramid, we need more information about the dimensions of the actual pyramid and the desired size of the piñata. Once we have that information, we can calculate the ratio by comparing the height, base, and volume of the two pyramids.
Assuming we have the necessary information, let's say the actual pyramid has a height of 10 feet and a base of 8 feet by 8 feet, and we want to create a piñata-sized pyramid with a height of 2 feet and a base of 1 foot by 1 foot. In this case, the ratio would be:
1: (2/10) or 1:5
To calculate the surface area of the piñata pyramid, we can use the formula:
Surface Area = (base x base) + 2(base x slant height)
Using the dimensions given, the surface area would be:
Surface Area = (1 x 1) + 2(1 x sqrt(0.5^2 + 2^2))
Surface Area ≈ 6.83 square feet
To calculate the volume of the piñata pyramid, we can use the formula:
Volume = (1/3)(base x base)(height)
Using the dimensions given, the volume would be:
Volume = (1/3)(1 x 1)(2)
Volume ≈ 0.67 cubic feet
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What is the sixth number in the Fibonacci sequence with the first two numbers 1 and 4?
Answer:
23
Step-by-step explanation:
1 + 4 = 5 so we get 1 4 5
then 4+5 = 9, 1 4 5 9
5+9 = 14, 1 4 5 9 14
9+14 = 23, so
1 4 5 9 14 23
23 is the 6th number in this sequence
The sixth number in the Fibonacci sequence with the first two numbers 1 and 4 is 23 and this can be determined by using the arithmetic operations.
Given :
Fibonacci sequence with the first two numbers 1 and 4.
The following steps can be used to determine the sixth number in the Fibonacci sequence:
Step 1 - If the first two numbers in the Fibonacci sequence is 1 and 4 then the third number is:
= 1 + 4
= 5
Step 2 - The Fourth number in the Fibonacci sequence is:
= 4 + 5
= 9
Step 3 - The Fifth number in the Fibonacci sequence is:
= 5 + 9
= 14
Step 4 - The Sixth number in the Fibonacci sequence is:
= 9 + 14
= 23
So, the sixth number in the Fibonacci sequence with the first two numbers 1 and 4 is 23.
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Please help I beg show work
A 85.7%
B 21.1%
C 64.6%
D 35.4%
Given:
Total number of students = 147
Number of students taking math = 95
Number of students taking science = 73
Number of students taking both = 52
To find:
The theoretical probability of randomly choosing a student who is taking math.
Solution:
We have,
Total number of students = 147
Number of students taking math = 95
Now, the theoretical probability of randomly choosing a student who is taking math is
\(P(M)=\dfrac{\text{Number of students taking math}}{\text{Total number of students}}\times 100\)
\(P(M)=\dfrac{95}{147}\times 100\%\)
\(P(M)=64.62585\%\)
\(P(M)\approx 64.6\%\)
The theoretical probability of randomly choosing a student who is taking math is 64.6%.
Therefore, the correct option is C.
Select all of the following that would be an acceptable set builder notation for the set {7, 8, 9, 10, 11, 12, 13, 14}.
Group of answer choices
{x | 6 < x < 15}
{x | x is a natural number with 6 < x < 15}
{x | x is a natural number with 7 < x < 14}
{x | 7 < x < 14}
{x | x is a natural number with 6 < x < 15}
===========================================================
Explanation:
The given set is in roster notation. Think of a baseball or football team (or any sports team) how their roster lists out all of the players. In this case, each number is like a player.
The idea here is to simplify the set so we don't have to write out every single item. Instead we have a rule to make things a bit simpler.
In this case, the set {7, 8, 9, 10, 11, 12, 13, 14} describes all natural numbers from 7 to 14
This means we can say {x | x is a natural number with 6 < x < 15}
Note how the endpoints x = 6 and x = 15 are not included. This is because there isn't a "or equal to" as part of the inequality sign. Sure enough 6 and 15 are not part of the original set.
An equivalent set would be \(\{ x | \text{ x is a natural number with } \ 7 \le x \le 14\}\) and here we have "or equal to" involved. For this example, the endpoints x = 7 and x = 14 are included.
--------------
Something like choice A and choice D are not complete answers because we don't know if x is a whole number, natural number, rational number, real number, etc. If x was say a real number, then x = 10.75 would be involved with choice A. But 10.75 is not part of the original set.
Please help me I will give you extra points.
It's math
Answer:
A
Step-by-step explanation:
It can only be a bc its the only one with -4 as b
Find the result of |x-1|=2
The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).
One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)
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For what value of is the function defined below continuous on (−[infinity],[infinity])? f(x)= { x^2 - c^2, x < 6
{ cx + 45, x ≥ 6
The function \(f(x) = x^2 - c^2\) for x < 6 and f(x) = cx + 45 for x ≥ 6 is continuous on (-∞, ∞) for all values of c except for c = 0. Consider the definition of continuity.
A function is continuous at a point if the limit of the function as x approaches that point exists and is equal to the value of the function at that point.
For x < 6, the function \(f(x) = x^2 - c^2\) is a polynomial function and is continuous for all values of c since polynomials are continuous everywhere.
For x ≥ 6, the function f(x) = cx + 45 is a linear function. Linear functions are also continuous everywhere, regardless of the value of c.
However, at x = 6, we have a point of discontinuity if c = 0. When c = 0, the function becomes f(x) = 45 for x ≥ 6. In this case, the function has a jump discontinuity at x = 6 since the limit as x approaches 6 from the left is not equal to the value of the function at x = 6.
In conclusion, the function \(f(x) = x^2 - c^2\) for x < 6 and f(x) = cx + 45 for x ≥ 6 is continuous on (-∞, ∞) for all values of c except when c = 0.
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The complete question is:
For What Value Of The Constant C Is The Function F Defined Below Continuous on (−[infinity],[infinity])?
f(x)= { x² - c², x < 6
{ cx + 45, x ≥ 6
what is the probability that the lifetime of at least one component exceeds 2? (do not round intermediate values. round your answer to three decimal places.)
The probability that the lifetime of at least one component exceeds 2 is 0.135.
Given that the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image.
We want to find the probability that the lifetime of at least one component exceeds 2.
The probability that the lifetime of at least one component exceeds 2 is P(X>2).
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}f(x,y)dydx\end\)
Now, we will substitute the given function, we get
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}xe^{-x(1+y)}dydx\end\)
Further, we will simplify this, we get
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\left[-e^{-x(1+y)\right]_{0}^{\infty}dx\\ &=\int_{x=2}^{\infty}e^{-x}dx\\ &=\left[-e^{-x}\right]_{2}^{\infty}\\ &=e^{-2}\\ &=0.135\end\)
Hence, the probability that the lifetime of at least one component exceeds 2 for the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image is 0.135.
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Please help. Sooooo confused. GOAL is a quadrilateral in which GO is parallel to AL. If the measures of angle G=angle O = 40 degrees. What are the measures of angle A send L. It is not mentioned that A is equal to L,so?
Answer:
Angle A and L are 140 degrees each.
Step-by-step explanation:
Since GO and AL are parallel to each other, we can use the same side interior theorem to figure out angle A and L. Let's focus on GA first. We know that same side interior angles are supplementary (sum is 180 degrees). We know angle G is 40 degrees, so to figure out angle A, you do 180-40 which equals 140. So angle A is 140 degrees. You repeat this process for OL and you should also get 140 degrees for L.
You might need: Calculator A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?
Answer:
3.6 meters
Step-by-step explanation:
18/10 x 2 = 3.6
so, 18 centimeters represents 3.6 meters
What is the positive square root of 0.25?
Enter your answer as a decimal in the box.
Answer:
0.5
Step-by-step explanation:
ggggggggsgsgsgsgsgsgsgsgsgsgsgsgs
Answer:
0.5
Step-by-step explanation:
\(\sqrt{0.25}=\sqrt{\dfrac{25}{100}}\\\\\\=\sqrt{\dfrac{5*5}{10*10}}\\\\\\=\dfrac{5}{10}\\\\\\=0.5\)
A store gets a shipment of 1000 light bulbs. Due to a manufacturing problem, 200 of the bulbs are defective, but the store's manager is not aware of this. As she always does, however, the manager will check a sample of the bulbs to look for potential problems. How can she choose a sample of the bulbs to represent the shipment?
Answer:
Use a simple random sampling technique.
Step-by-step explanation:
Sampling is a procedure applied in statistical analysis where a fixed number of data (observations or individuals) are selected from a superior population. The approach used to select a sample from a population is determined on the basis of the type of analysis being executed.
To test for defective bulbs the store manager has to select a sample. She can select a sample of size n from the 1000 bulbs using the simple random sampling technique.
A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.
Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.
What is the value of this expression? (37)^0 0 3^7 1 30^7
Answer:
1
Anything to the 0th power is 1.
Answer:
1
Step-by-step explanation:
You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.
A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.
CLEAR CHECK
95 square meters
190 square meters
47.25 square meters
57.25 square meters
Answer:
95 square meters
Step-by-step explanation:
I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)
The formula for area of triangle is base * height * 1/2
So 19 * 10 *1/2 is 95.
a limo company charges a reservation fee of $35 and $2 per mile , however nick has a coupon that gives him a free reservation if he pays for every mile. which equation shows the total cost of a ride in the limo for nick if he uses the coupon SHOW YOU WORK
A.y=35x+2
B.y=35x
C. y=2x
D. 2x+35y=2
Answer:
c; y = 2x
Step-by-step explanation:
if it was without the coupon the fee would be the $2 per mile (2x) with the $35 which would be
y = 2x + 35
but with the coupon the $35 reservation is removed so only 2x is left
y = 2x
Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
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Farhan cycles the first part of a 150-km journey at an average speed of 35km/h and walks the
remaining distance at an average speed of 5 km/h. if he takes 4.5 hours for his entire journey, find the
distance by he cycles.
Answer:
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
5 x 4.5 = 22.5 (km)
150 – 22.5 = 127.5 (km)
35 – 5 = 30 (km/h)
127.5/30 = 4.25 (h)
4.25 x 35 = 148.75 (km)
Alternatively,
Let x be the distance that he cycles.
x/35 + (150 – x)/5 = 4.5
x + 1050 – 7x = 157.5
6x = 892.5
x = 148.75
Ans : 148.75km.
a 10kg box putting pushed with a force of 24 Newtons and a fraction of 12N. Determine coefficient of Friction and Determine acceleration of the Box
PLEASE HELP
Assuming the force is applied horizontally over a flat surface, the net horizontal force is
F (h) = 24 N - 12 N = (10 kg) a
Solve for the acceleration a :
12 N = (10 kg) a
a = 1.2 m/s²
Meanwhile, the net vertical force is zero since the box of only moving horizontally.
F (v) = n - (10 kg) g = 0
where n is the magnitude of the normal force exerted upward by the surface. We see that
n = (10 kg) (9.8 m/s²)
n = 98 N
The friction force has a magnitude that is proportional to the normal force,
12 N = μ (98 N)
where μ is the coefficient of kinetic friction. Solve for μ :
μ = (12 N)/(98 N)
μ ≈ 0.12
Review the information on FICO score calculations to answer the question:
Category Percentage
Payment History 35%
Amount Owed 30%
Length of Credit History 15%
New Credit and Inquiries 10%
Credit Mix 10%
A borrower has a credit score of 675. How many points come from payment history and credit mix?
270
303.75
307.35
337.5
The answer is option B. 303.75, points come from payment history and credit mix.
To find out how many points come from Payment History, we need to multiply the borrower's credit score of 675 by the percentage for Payment History:
675 x 0.35 = 236.25
So, 236.25 points come from Payment History.
According to the given information, payment history and credit mix account for a total of 45% (35% + 10%) of a borrower's FICO score.
To find out how many points come from these categories for a borrower with a credit score of 675, we need to calculate 45% of 675.
0.45 x 675 = 303.75
Therefore,
303.75 points come from payment history and credit mix for a borrower with a credit score of 675.
To find out how many points come from Credit Mix, we need to multiply the borrower's credit score of 675 by the percentage for Credit Mix:
675 x 0.10 = 67.5
So, 67.5 points come from Credit Mix.
Adding these two amounts together, we get:
236.25 + 67.5 = 303.75
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i need help with this
Answer:
3
Step-by-step explanation:
y = -16x2 + 152x + 74
what is the max
(-4 , y) and (0 , -1); slope: -2
Answer:
-8
Step-by-step explanation:
-1 - y = x
0 - -4 = 4
x / 4 = -2
x = 4 * -2
x = -8
One year, an estimated 598,000 sandhill cranes migrated in March. The next March, an estimated 660,000 sandhill cranes migrated. To the
nearest percent, what is the percent change in the number of migrating cranes from the first March to the next?
Answer:
10.3679%
rounded - 10% increase
Step-by-step explanation:
That's the closest I got
Can someone help me please
Answer:
=2⁵it's option B 2⁵(B) 2⁵ is the right option3³ + 6( 2 + 3/6) what is it cus i need to turn it in today by 11:59 middle school math btw
Answer:
42
Step-by-step explanation:
First, you do the stuff in parentheses. 2+3/6 = 2.5
Then, exponent, 3 x 3 x 3 = 27
Then, do 6 x 2.5 = 15
15+27 = 42
2. Let A = B-Z. Let R be the relation from A to B defined by a Rb if and only if a2-b9. Determine the following: (a) List all ordered pairs in R: (b) Dom(R)= (c) Rng(R)
(a) the ordered pairs in R are \((a, b \pm \sqrt(b^2 + a^2 + b^9))\)
(b) The domain of R is \(Dom(R) = {b - z : z < = (b - b^4) or z > = (b + b^4\)), b in B}
(c) The range of R is the union of these ranges over all b in \(z < = (b - b^{(2/9)})^9\) or \(z > = (b + b^{(2/9)})^9\)
How to find all ordered pairs in R:?(a) To list all ordered pairs in R, we need to find all pairs (a, b) such that a R b. That is, all pairs (a, b) such that \(a^2 - b^9.\)
Since A = B - Z, we have a = b - z for some z in Z. Substituting this in the relation, we get:
\((a = b - z) ^ 2 - b^9\)
Expanding \((b - z)^2\), we get:
\(b^2 - 2bz + z^2 - b^9\)
Simplifying, we get:
\(z^2 - 2bz - (a^2 + b^9) = 0\)
This is a quadratic equation in z. Using the quadratic formula, we get:
\(z = [2b \pm \sqrt(4b^2 + 4(a^2 + b^9))] / 2\)
\(z = b \pm \sqrt(b^2 + a^2 + b^9)\)
Therefore, the ordered pairs in R are:
\((a, b \pm \sqrt(b^2 + a^2 + b^9))\)
How to find Dom(R)?(b) The domain of R is the set of all elements in A that are related to at least one element in B. That is:
Dom(R) = {a in A : there exists b in B such that a R b}
From the definition of R, we know that a R b if and only if \(a^2 - b^9.\) Therefore, for a to be related to some b, we need\(a^2 > = b^9\). In other words, we need:
\(a > = b^4\) or \(a < = -b^4\)
Since A = B - Z, we have a = b - z for some z in Z. Therefore, for a to be related to some b, we need:
\(b - z > = b^4\) or \(b - z < = -b^4\)
Simplifying, we get:
\(z < = (b - b^4)\) or \(z > = (b + b^4)\)
Since z is an integer, the inequalities above define a range of integers for each b. The domain of R is the union of these ranges over all b in B. Therefore, we have:
\(Dom(R) = {b - z : z < = (b - b^4) or z > = (b + b^4\)), b in B}
How to find Rng(R)?(c) The range of R is the set of all elements in B that are related to at least one element in A. That is:
Rng(R) = {b in B : there exists a in A such that a R b}
From the definition of R, we know that a R b if and only if \(a^2 - b^9\). Therefore, for b to be related to some a, we need \(b^9 > = a^2\). In other words, we need:
\(b > = a^{(2/9)}\) or \(b < = -a^{(2/9)}\)
Since A = B - Z, we have a = b - z for some z in Z. Therefore, for b to be related to some a, we need:
\(b - z > = (b - z)^{(2/9)}\) or \(b - z < = -(b - z)^{(2/9)}\)
Simplifying, we get:
\(z < = (b - b^{(2/9)})^9\) or \(z > = (b + b^{(2/9)})^9\)
Since z is an integer, the inequalities above define a range of integers for each b. The range of R is the union of these ranges over all b in
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