The inequality > 75 represents the outdoor temperature in degrees Fahrenheit. Which sentence represents this inequality?
A The outdoor temperature is greater than 75 degrees.
B The outdoor temperature is 75 degrees or cooler.
C The outdoor temperature is warmer than 75 degrees.
D The outdoor temperature is 75 degrees or warmer.

Answer:

x = 2, x = -7

Step-by-step explanation:

Hello!

First, let's factor the equation by grouping.

Set each factor with x equal to 0, and solve for x.

The solutions for x are 2 and -7.

Answer:

.2(x+1)(x+5)

Step-by-step explanation:

Well first lets start with the x intercepts which are -1 and negative 5 so the equation must be either -0.2(x+1)(x+5) or .2(x+1)(x+5)

Notice how the graph is going upwards this means the number in front of the equation -.2 or .2 must be positive making .2(x+1)(x+5) this is because if .2 was negative the graph would be going downwards

The best point estimate for the average number of school books per semester for all students at the local college is 5.2.

The average number of school books per semester for all students at the local college is 5.2. A sample of 39 students was taken, i.e., n = 39. To find, The best point estimate for the average number of school books per semester for all students at the local college.

The best point estimate for the average number of school books per semester for all students at the local college is the sample mean which can be calculated.

Therefore, the best point estimate for the average number of school books per semester for all students at the local college is 5.2.

To learn more about the best point estimate refer :

https://brainly.com/question/30888009

#SPJ11

The standard deviation of the population affects the width of the confidence interval for the population mean. A larger standard deviation results in a wider confidence interval, while a smaller standard deviation results in a narrower confidence interval.

The standard deviation of the population plays a crucial role in determining the width of the confidence interval for the population mean. The formula for the confidence interval for the population mean is:

CI = X ± Z × (σ / sqrt(n))

where:

CI is the confidence interval

X is the sample mean

Z is the Z-score corresponding to the desired level of confidence

σ is the standard deviation of the population

n is the sample size

As you can see from the formula, the width of the confidence interval is directly proportional to the standard deviation of the population. The larger the standard deviation, the wider the confidence interval. This means that if the standard deviation of the population is large, then we need a larger sample size or a lower confidence level to obtain a narrower confidence interval. On the other hand, if the standard deviation of the population is small, we can obtain a narrower confidence interval with a smaller sample size or a higher confidence level.

for such more question on standard deviation

https://brainly.com/question/475676

#SPJ11

Answer:

$43.75

Step-by-step explanation:

So you have: 35% discount

Total without discount: $125.00

Amount discounted: ?

So you have to make 35% into a number that you can multiply with $125. When you have a percentage you move the decimal two times to the front so you have 0.35 then you multiply;

125 x 0.35 = 43.75.

43.75 is the amount discounted, so you only have to pay 81.25. The equation for that would look like;

125 - 43.75 = 81.25

Hope that made sense!

It looks like the price of the item you want to purchase is $125.00, so the coupon will save you $ 43.75

Given data ,

To calculate how much the coupon will save you, you can multiply the price of the item by the percentage discount.

The price of the item is $125.00 and the coupon offers a 35% discount

The percentage of discount is given as = 35 %

35% of $125.00 can be calculated as:

On simplifying the equation , we get

(35/100) x $125.00 = $ 43.75

A = $ 43.75

Therefore, the coupon will save you $ 43.75 on your purchase

Hence , the coupon will save $ 43.75

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ6

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

Learn more about equation at

https://brainly.com/question/12998758

#SPJ11

Answer:

The fridge takes up 36 2/3 cubic feet of space.

Step-by-step explanation:

To calculate the volume of the fridge, you need to multiply the width, height, and depth.

Width = 2 2/3 feet = (2*3 + 2) / 3 = 8/3 feet

Height = 5 1/2 feet = (5*2 + 1) / 2 = 11/2 feet

Depth = 2 1/2 feet = (2*2 + 1) / 2 = 5/2 feet

Volume = (Width) * (Height) * (Depth)

Volume = (8/3 feet) * (11/2 feet) * (5/2 feet)

Calculating the volume:

Volume = 8 * 11 * 5 / (3 * 2 * 2) cubic feet

Volume = 440 / 12 cubic feet

Volume = 36 2/3 cubic feet

Answer:

2 cm

Step-by-step explanation:

The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

Learn more about Null hypothesis:

brainly.com/question/19263925

#SPJ11

Answer:

80.25

Step-by-step explanation:

The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

To know more about mass visit

https://brainly.com/question/20579920

#SPJ11

The height of the flagpole is approximately 23,047.11 feet.

To resolve this issue, we can make use of the similar triangles property. The teacher, the flagpole, and each of their corresponding triangles are similar because they have the same angles.

Let h be the height of the flagpole. Then, we can set up the following proportion:

h / 3112 = 612 / 9

When we simplify this ratio, we obtain:

h = (3112 x 612) / 9

h = 207424 / 9

h ≈ 23,047.11 feet

Hence, the flagpole is roughly 23,047.11 feet tall.

To know more about Feet visit:

https://brainly.com/question/15658113

#SPJ1

Answer:

i think it’s -3 i’m not sure tho

Step-by-step explanation:

answer

x=-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the polynomial function has rational coefficients, then the missing root must be conjugate with 3 + √11, which is achieved by reversing the sign of root:

\( \LARGE{ \underline{\underline{ \purple{ \bf{Required \: answer:}}}}}\)

Since 3 roots are rational but one of the four is irrational. Then, there must be a conjugate pair for that which we can do by reversing the sign between the rational and the non-rational part.

Hence, Another root of the polynomial function f(x) will be ofcourse the conjugate pair of 3 + √11 i.e. 3 - √11 (Ans)

Answer:

-7 and 3

-5 and 1

-3 and -1

Step-by-step explanation:

-7 + 3 = -4

-5 + 1 = -4

-3 + -1 = -4

Answer:

I agree with Leslie. You must add the first terms to get 19y. then when you add -12y, you subtract 12y from 19y to get 7y.

Step-by-step explanation:

17y + 2y - 12y = 19y - 12y = 7y

Answer: I agree with Leslie. You must add the first two terms to get 19y. Then when you add -12y, you subtract 12y from 19y to get 7y.

b < 45 represents the inequality of how many books can be put on the shelves.

An inequality is a mathematical statement that shows the relative size or ordering of two values. It is represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), and "≠" (not equal to).

The inequality that represents how many books can be put on the shelves is:

b < 45

This inequality states that the number of books to be shelved, represented by b, must be less than 45 in order to fit on the bookshelf.

The inequality "b > 45" would represent a scenario in which the number of books to be shelved is greater than 45, which is not possible given the constraint that the bookshelf can hold a maximum of 45 books.

For more such questions on Inequality: brainly.com/question/28800558

#SPJ4

The cash price of one radio after a 14% discount is $4644.

The price of a radio is $5400. After giving a 14% discount for each radio, what will be the cash price?

Solution: The given price of the radio is $5400. The discount given on each radio is 14%.

Let's calculate the discount: Discount% = 14% Discount = (Discount%/100%) × Selling Price Discount = (14/100) × $5400 Discount = $756 Therefore, the discount on one radio is $756.

The cash price of one radio after a 14% discount is: Cash Price = Selling Price - Discount Cash Price = $5400 - $756Cash Price = $4644 Therefore, the cash price of one radio after a 14% discount is $4644.

For more such questions on cash price

https://brainly.com/question/30699288

#SPJ8

Answer:

Step-by-step explanation:

You want an equation and its solution for the distance from a building to the base of a ladder leaning at an angle of 71.6° to a point 12 ft up the side of the building.

The tangent function gives the relation between the legs of a right triangle:

  Tan = Opposite/Adjacent

In the attached diagram, that tells us ...

  tan(71.6°) = BL/BG

The equation that can be used to find the distance BG is ...

  tan(71.6°) = (12 ft)/BG

The solution to the equation is ...

  BG = (12 ft)/tan(71.6°) ≈ 4.0 ft

The bottom of the ladder is about 4.0 feet from the side of the building.

<95141404393>

Answer:

£383.07

Step-by-step explanation:

339 X 0.13=44.07

44.07+339=£383.07

Answer:

60

Step-by-step explanation:

The least multiple of 5 which is divisible by both 3 and 4 is 60

Answer:

1.) Rate of Change (can't create a table sorry)

2.) Equation

Step-by-step explanation:

Answer: d) $37,500

Step-by-step explanation:

The highest fee for the loan of 1m dollars can be d) 37500 dollars.

A percentage is a value per hundredth. Percentages can also be converted into fractions by dividing it by a hundred and simplifying decimals by dividing the percentage value by a hundred.

We know 1 million dollars is 1,000,000 dollars which is the loan amount and the highest rate of fee is 3.75%.

∴ The highest fee can be 3.75% of 1,000,000 dollars which is,

= (3.75/100)×1,000,000 dollars.

= 0.0375×1000000 dollars.

= 37500 dollars.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ6

Answer:

the answer is C

Step-by-step explanation:

hope its help

Answer:

C ) 374

Step-by-step explanation:

I took the test and got it right.

The maximum number of electrons in an atom with the given set of quantum numbers is determined by the Pauli exclusion principle and the principle of maximum multiplicity.

The quantum numbers provided are n = 4 (principal quantum number), l = 3 (azimuthal quantum number), ml = -2 (magnetic quantum number), and ms = 1/2 (spin quantum number).

For a given value of l, there are (2l + 1) possible values of ml. In this case, with l = 3, there are 2l + 1 = 7 possible values of ml (-3, -2, -1, 0, 1, 2, 3).

According to the Pauli exclusion principle, no two electrons in an atom can have the same set of four quantum numbers. This means that each electron must have a unique combination of n, l, ml, and ms.

Since ms = 1/2, there are two possible spin orientations for each value of ml. Therefore, for the given set of quantum numbers, there can be a maximum of 2 electrons for each value of ml.

Hence, the maximum number of electrons in an atom with the given set of quantum numbers is 2 * (2l + 1) = 2 * 7 = 14.

Learn more about quantum numbers here:

https://brainly.com/question/14288557

#SPJ11

Answer:

a) 2/10

b) 15

c) 30

Step-by-step explanation:

Ratio: 2:3:5 = R:B:Y

If we add them all together, we can find the denominator for the fraction of how many counters are in the bag. 2+3+5 = 10.

If the ratio for R = 2, then the fraction is 2/10 (simplified)

If 9 of the counters are blue, to find the number of the other counters, we multiply the ratio numbers by 3 (because 3 x 3 is 9). So, the number of red counters is (2x3) 6, blue is 9, and yellow is (5x3) 15.

Now, to find the total amount, we can add 6, 9, and 15 together to get 30.

Hope this helps. If you require further explanation, let me know!

- profparis

Answer:

The answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2

rise/run

count upward from -2 then right 4

then get your answer