Help with answer 10 please!!!

Answer:

If a is negative or zero  there are no real solutions

Step-by-step explanation:

y=ax^2-8

Set equal to zero to find the solution

0 =ax^2-8

Add 8 to each side

8 = ax^2

Divide by a  a cannot be zero or we cannot divide by it

8/a = x^2

Take the square root of each side

sqrt(8/a) = sqrt(x^2)

We need 8/a to be positive for it to have real solutions

That means a has to be positive

If a is negative or zero  there are no real solutions

Answer:

x=4

Step-by-step explanation:

5day, 2m before school, total 10m before school

5x after school

10+5x=30

5x=30-10

5x=20

x=4

Answer:the equation would be something like 30=5x+10

Step-by-step explanation:we know the total is 30 miles

he ran 5 days

the morning run is 2 miles

2*5=10

10 plus the unknown miles times 5 days gives us 30

so 30=5x+10 subtract 10 both sides

20= 5x=20

divide both sides by 5

x=4

Answer:

12 rounded to a whole number.

Step-by-step explanation:

75.36 divided by pi (3.14159) = 23.987. this is diameter (the length from one side of a circle to the other).

but we need to find the radius. the radius is half way across a circle.

23.987 divided by 2 = 11.993.

round this to a significant whole number and you get 12.

The radius of the garden is,

⇒ r = 12

We have to given that;

The circumference of a circular garden is,

⇒ C =  75.36 feet.

Since, We know that;

The circumference of a circle is,

⇒ C = 2πr

Substitute given values,

⇒ 75.36 = 2 × 3.14 × r

⇒ 75.36 = 6.28 r

⇒ r = 12

Thus,  the radius of the garden is,

⇒ r = 12

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Answer:

mom will let you know

Step-by-step explanation:

shes gone

To test the hypothesis that population 1 has a mean that is exactly 2 less than the mean of population 2, we can use a two-sample t-test with unequal variances.

The test statistic for this hypothesis is given by:
t = (x1 - x2 - d) / sqrt[(s1^2/n1) + (s2^2/n2)]
where x1 and x2 are the sample means, s1 and s2 are the respective standard deviations, n1 and n2 are the sample sizes, and d is the hypothesized difference in means (in this case, d = 2).
Substituting the given values, we get:
t = (34.5 - 30 - 2) / sqrt[(5^2/33) + (9^2/42)]
t = 2.5 / 1.747
t = 1.43 (rounded to two decimal places)
Therefore, the test statistic for this hypothesis is 1.43.

You want to test the hypothesis that the mean of population 1 is exactly 2 less than the mean of population 2. Given that sample 1 has a mean of 34.5 and sample 2 has a mean of 30, the respective standard deviations are 5 and 9, and the sample sizes are 33 and 42. To find the test statistic, follow these steps:
1. State the null hypothesis (H0) and the alternative hypothesis (H1):
  H0: μ1 - μ2 = 2
  H1: μ1 - μ2 ≠ 2
2. Calculate the difference in sample means (M1 - M2):
  34.5 - 30 = 4.5
3. Calculate the standard error of the difference in means:
  SE = √[(s1²/n1) + (s2²/n2)] = √[(5²/33) + (9²/42)] = √[(25/33) + (81/42)] ≈ 1.595
4. Calculate the test statistic (t):
  t = (M1 - M2 - D) / SE = (4.5 - 2) / 1.595 ≈ 1.568
The test statistic for this hypothesis test is approximately 1.568.

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According to the law of exponent for abelian groups (ab)^n = a^n b^2 is not necessarily true for non-abelian groups.

Using the distributive law repeatedly, we have:(ab)^n = (ab)(ab)...(ab) (n times)

= a(ab)(ab)...(ab) (n-1 times) b

= a(a(ab)(ab)...(ab) (n-2 times) b)b

= a^2 (ab)(ab)...(ab) (n-2 times) b^2

= ...

= a^n b^n

Therefore, (ab)^n = a^n b^n for any abelian group and any integer n.

However, this is not necessarily true for non-abelian groups. For example, consider the dihedral group D4 which is the symmetry group of a square. Let a be a 90 degree clockwise rotation and b be a horizontal reflection. Then (ab)^2 = a(ba)b = ae = e, where e is the identity element. However, a^2 = b^2 = e, so (ab)^2 = e^2 = e, which is not equal to a^2b^2 = e. Hence, the law of exponents does not hold for D4

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We subtract the probability of all eight balls having different numbers from 1: 1 - ((60 * 59 * 58 * ... * 53) / (60^8)). This gives us the probability that at least two balls drawn with replacement have the same number.

To find the probability that at least two balls drawn with replacement have the same number, we can calculate the probability of the complementary event, which is the probability that all eight balls have different numbers.

First, let's calculate the total number of possible outcomes for drawing 8 balls with replacement. Each ball has 60 possible numbers it could be, so there are 60^8 total outcomes.

Next, let's calculate the number of favorable outcomes where all eight balls have different numbers. For the first ball, there are 60 choices. For the second ball, there are 59 remaining choices (as it cannot have the same number as the first ball), and so on. Therefore, the number of favorable outcomes is 60 * 59 * 58 * ... * 53 (continuing this pattern until eight balls are chosen).

Finally, we can calculate the probability of all eight balls having different numbers by dividing the number of favorable outcomes by the total number of possible outcomes: (60 * 59 * 58 * ... * 53) / (60^8).

To find the probability of at least two balls having the same number, we subtract the probability of all eight balls having different numbers from 1: 1 - ((60 * 59 * 58 * ... * 53) / (60^8)).

This gives us the probability that at least two balls drawn with replacement have the same number.

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Thus, the minimum time taken for a car from start to end of the assembly unit is 14.

Algorithm for assembly line scheduling using dynamic programming:-

1. We need following parameter:

· S[i,j]: The jth station on ith assembly line

· a[i,j]: Time required at station S[i,j], because every station has some dedicated job that needs to done. · e[i]: Entry time of product on assembly line i [here i= 1,2] · x[i]: Exit time from assembly line i· t[i,j]: Time required to transit from station S[i,j] to the other assembly line.

2. Further in dynamic programming we have to ways to do so:

· Reach station S1j from S1,j-1 (same assembly line).

· Reach station S1j from S2,j-1 (switch from second assembly line).

3. Calculate minimum time to leave.

4. After that find the minimum time to leave the previous two stations.

5. Then combining it with the time spent on station.

6. calculate the leaving time of previous stations.

7. Finally, we need two tables to store the partial results that are calculated for each station in an assembly line.

Example:- a = [[5,4,3], [2,3,7]], t = [[0,2,2], [0,1,1]]

e1 = 3, e2 = 2

x1 = 3, x2 = 4

T1[0] = e1 + a[0][0] = 3+5 = 8

T2[0] = e2 + a[0][1] = 2+2 = 4

T1 = [8, 0, 0]

T2 = [4, 0, 0]

i = 1

T1[1] = min(T1[1-1] + a[0][1], T2[1-1] + t[1][1] + a[0][1])

= min(8+4, 4+1+4) = min(12,9)

T1[1] = 9

T2[1] = min(T2[1-1] + a[1][1], T1[1-1] + t[0][1] + a[1][1])

= min(4+3, 8+2+3) = min(7,13)

T2[1] = 7

T1 = [8, 9, 0] T

2 = [4, 7, 0]

i = 2

T1[2] = min(T1[2-1] + a[0][2], T2[2-1] + t[1][2] + a[0][2])

= min(9+3, 7+1+3) = min(12,11)

T1[2] = 11

T2[2] = min(T2[2-1] + a[1][2], T1[2-1] + t[0][2] + a[1][2])

= min(7+7, 9+2+4) = min(14,15)

T2[2] = 14​

T1 = [8, 9, 11]

T2 = [4, 7, 14]

ans = min(T1[n-1]+x1, T2[n-1]+x2)

= min(11+3, 14+4) = min(14, 18)

ans = 14

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60 percent of the vendors did not serve hotdogs or hamburgers.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.

As per the given data:

Total number of vendors = 16

Vendors serving hamburgers = 5

Vendors serving hotdogs = 8.75% of Total vendors

For percentage of vendors who did not serve hamburgers or hotdogs:

= Total vendors - Vendors serving hamburgers - Vendors serving hotdogs

= \(100 - \frac{5}{16} \times 100 - 8.75\)

=  \(100 - \frac{500}{16} - 8.75\)

=  \(100 - 31.25 - 8.75\)

= \(60 \%\)

The percentage of vendors who did not serve hamburgers or hotdogs is 60%.

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Answer:

the domain will be all real #'s bc the arrows are continuous/never ending. The range would be y<4 because the line starts at 4 and goes down.

Hope this helped you :)

Answer:

m=0 and m=3

Step-by-step explanation:

there are two solutions

the answer is -7, -5 its the answer check it

Answer:

there are 101 black marbles

Step-by-step explanation:

The measure of the exterior angle to ∠x in triangle xyz is 92.05°.

The exterior angle of a triangle is the angle between any side of the triangle and the line extending from the opposite vertex. It is formed by extending one of the sides of the triangle past the vertex that is opposite to it.

The measure of the exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

exterior to ∠x = ∠y + ∠z

exterior to ∠x = 63.25° + 28.8°

exterior to ∠x = 92.05°

Hence, the measure of the exterior angle to ∠x in triangle xyz is 92.05°.

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Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

Answer:

The answer to that problem would be 116 degrees.

Step-by-step explanation:

Since Angles JKM and MKL are adjacent angles, they add up to the measure of Angle JKL. To figure out the angle measure of JKM, you subtract 39 (the measure Angle MKL) from 155 (the measure of JKL). Hopefully, this helps :).

i love ari!

what were you thinking on buying? :)

Answer:

True.

Step-by-step explanation:

100,650 is 93 digits greater than 100,557.

Answer:

i think b

Step-by-step explanation:

9=3^2 and 10^4=(10^2)2

The number 9 x 10⁴ is a square number. which the correct answer would be an option (B).

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

As per option (A),

4 x 10⁵

This number is not a square number.

As per option (B),

9 x 10⁴  = (3² x 10²)²

This number is a square number.

As per option (C),

4 x 10³

This number is not a square number.

As per option (D),

9 x 10³

This number is not a square number.

Thus, the number 9 x 10⁴ is a square number.

Hence, the correct answer would be option (B).

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Answer:

32

Step-by-step explanation:

8 + 8 + 8 + 8 = 32

Answer:  32

Step-by-step explanation:  4+4+4+4+4+4+4+4+4=32

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

For a real number x, by using mathematical induction it is shown that a\((1 + x)^{2n}\) > 1 + 2nx for every positive integer n.

To prove the inequality a\((1 + x)^{2n}\) > 1 + 2nx  for every positive integer n, we will use mathematical induction.

The inequality holds true for n = 1, and we will assume it is true for some positive integer k.

We will then show that it holds for k + 1, which will complete the proof.

For n = 1, the inequality becomes a\((1 + x)^2\) > 1 + 2x.

This can be expanded as a(1 + 2x + \(x^2\)) > 1 + 2x, which simplifies to a + 2ax + a\(x^2\) > 1 + 2x.

Now, let's assume the inequality holds true for some positive integer k, i.e., a\((1 + x)^{2k}\) > 1 + 2kx.

We need to prove that it holds for k + 1, i.e., a\((1 + x)^{2(k+1)}\) > 1 + 2(k+1)x.

Using the assumption, we have a\((1 + x)^{2k}\) > 1 + 2kx.

Multiplying both sides by \((1 + x)^2\), we get a\((1 + x)^{2k+2}\) > (1 + 2kx)\((1 + x)^2\).

Expanding the right side, we have a\((1 + x)^{2k+2}\) > 1 + 2kx + 2x + 2k\(x^2\) + 2\(x^2\).

Simplifying further, we get a\((1 + x)^{2k+2}\) > 1 + 2(k+1)x + 2k\(x^2\) + 2\(x^2\).

Since k and x are positive, 2k\(x^2\) and 2\(x^2\) are positive as well.

Therefore, we can write a\((1 + x)^{2k+2}\) > 1 + 2(k+1)x + 2k\(x^2\) + 2\(x^2\) > 1 + 2(k+1)x.

This proves that if the inequality holds for some positive integer k, it also holds for k + 1.

Since it holds for n = 1, it holds for all positive integers n by mathematical induction.

Therefore, we have shown that a\((1 + x)^{2n}\) > 1 + 2nx  for every positive integer n.

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The price per ounce is given as follows:

$0.15 = 15/100.

The price per ounce is obtained applying the proportions in the context of this problem, dividing the total price by the number of ounces.

The parameters for this problem are given as follows:

Hence the price per ounce is calculated as follows:

2.25/15 = $0.15.

The total price was of $2.25 for 15 ounces, and the problem asks for the price per ounce.

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Answer: If Shelly made 19 treat bags, and 11 of them were for girl guests, then the remaining bags were for boy guests.

So the number of boy guests = 19 - 11 = 8

Then the ratio of boy guests to girl guests is 8:11

or you can simplify it by dividing 8 and 11 by greatest common factor which is 8/11 in this case.

or you can express it as 8/19 for boy guests and 11/19 for girl guests

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Thales’ theorem: 4/12=2/x => 4x = 24 => x = 24/4=6

The value(s) of x where the graph of f has a horizontal tangent line can be found by setting the derivative of f equal to zero and solving for x.

To find the value(s) of x where the graph of f has a horizontal tangent line:

1. Take the derivative of f with respect to x. Let's denote it as f'(x).

  f'(x) = -4.2x^4 + 5.1x + 2.

2. Set f'(x) equal to zero and solve for x.

  -4.2x^4 + 5.1x + 2 = 0.

3. This is a polynomial equation. To find the approximate values of x, you can use numerical methods such as the Newton-Raphson method or a graphing calculator.

4. Using a numerical method or a graphing calculator, you can find that the approximate values of x where the graph of f has a horizontal tangent line are x ≈ -1.3275 and x ≈ 0.4815 (rounded to four decimal places).

Therefore, the value(s) of x where the graph of f has a horizontal tangent line are approximately x ≈ -1.3275 and x ≈ 0.4815.

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the answer of the question is $36

Answer:

£150

Step-by-step explanation:

£105 is the already reduced price. and it is reduced by 30%.

that means that price is 100-30 = 70% of the original price

so, how to get the 100% out of the 70% ?

well, in the same way we do it also in the other direction.

basically, figure out 1%, and then go for how many % we need.

so, we need to divide 105 by 70 (to get 1%) and then multiply the result by 100 (to get 100% out of the 1%).

price = 105/70 × 100 = 105 × 100 / 70 = 105 × 10 / 7 =

= 15 × 10 = £150

Answer:

42

Step-by-step explanation:

Answer:

42 square feet

Step-by-step explanation:

add all of the square feet together, including the sides parallel that don't tell you how many inches. What I mean by parallel is the sides across from it.

The ΔH (enthalpy change) for aluminum when it is heated from 0.0°C to 100.0°C is 2074.19 J.

The expression given for the temperature-dependent heat capacity of a substance is:

c_p = a + bT + cT^2

where c_p is the heat capacity in J/K, T is the temperature in °C, and a, b, and c are coefficients.

To calculate the ΔH (enthalpy change) for aluminum when it is heated from 0.0°C to 100.0°C, we need to integrate the heat capacity expression with respect to temperature over the given temperature range.

ΔH = ∫(c_p dT)

First, let's substitute the given coefficients into the expression:

c_p = 20.68 + (12.38×10^-3)T + 0

Next, we integrate the expression over the temperature range of 0.0°C to 100.0°C:

ΔH = ∫[20.68 + (12.38×10^-3)T] dT

Integrating with respect to T gives:

ΔH = 20.68T + (12.38×10^-3)(T^2/2)

To evaluate the integral, we substitute the upper and lower temperature limits:

ΔH = 20.68(100.0) + (12.38×10^-3)((100.0)^2/2) - [20.68(0.0) + (12.38×10^-3)((0.0)^2/2)]

Simplifying the equation gives:

ΔH = 2068 + 6.19

ΔH = 2074.19 J

Therefore, the enthalpy change (ΔH) for aluminum when it is heated from 0.0°C to 100.0°C is 2074.19 J.

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Answer:

C. (4,2)

Step-by-step explanation:

The point where the lines intersect is (4, 2)

Answer:

IT IS 2,4!!!!!!!!!1

Step-by-step explanation: