At midnight, the temperature was 20.4°F. In the morning, the temperature was −5.2°F. Which statement describes the temperatures?
Please help will give brainliest

The percent of the first 15 whole numbers have exactly 4 distinct whole will be 26.67%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The first 15 whole numbers have exactly 4 distinct whole number divisors. Then the percentage is given as,

P = (4 / 15) x 100

P = 0.2667 x 100

P = 26.67%

The percent of the first 15 whole numbers have exactly 4 distinct whole will be 26.67%.

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Blank #1 : The arc length of the sector is approximately 3.8 yards.

Blank #2:  The area of the sector is approximately 14.1 square yards.

To find the arc length of the sector, we can use the formula:

Arc Length = (θ/360°) * 2πr

where θ is the angle of the sector and r is the radius of the circle.

Given that the radius is 6 yards and the angle of the sector is 45°, we can substitute these values into the formula:

Arc Length = (45°/360°) * 2π * 6

Arc Length = (1/8) * 2π * 6

Arc Length ≈ 1.2π yards

Rounding to the nearest tenth, the arc length of the sector is approximately 3.8 yards.

To find the area of the sector, we can use the formula:

Area = (θ/360°) * πr^2

Again, substituting the given values:

Area = (45°/360°) * π * 6^2

Area = (1/8) * π * 36

Area ≈ 4.5π square yards

Rounding to the nearest tenth, the area of the sector is approximately 14.1 square yards.

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Therefore, V is a subspace of R^n consisting of all symmetric matrices. Therefore, W is a subspace of R^n consisting of all matrices with trace 0.

(a) If V is the subspace of R^n consisting of all symmetric matrices, then V is a subspace because it satisfies the three conditions of a subspace:
- It contains the zero vector (the zero matrix is symmetric)
- It is closed under addition (the sum of two symmetric matrices is symmetric)
- It is closed under scalar multiplication (a scalar multiple of a symmetric matrix is symmetric)

To prove that V is a subspace, we can use the definition of a subspace and check that it satisfies the three conditions. Let A and B be two symmetric matrices in V and c be a scalar.
1. Zero vector: The zero matrix is symmetric, so it is in V.
2. Closed under addition: We need to show that A+B is symmetric.

Transpose of A+B = Transpose(A) + Transpose(B) (distributivity of transpose)
Transpose of A+B = A + B (because A and B are symmetric)
Therefore, A+B is symmetric, and it is in V.

3. Closed under scalar multiplication: We need to show that cA is symmetric.
Transpose of cA = cTranspose(A) (distributivity of transpose)
Transpose of cA = cA (because A is symmetric)
Therefore, cA is symmetric, and it is in V.

Therefore, V is a subspace of R^n consisting of all symmetric matrices.

(b) If W is the subspace of R^n consisting of all matrices with trace 0, then W is also a subspace because it satisfies the three conditions of a subspace:
- It contains the zero vector (the zero matrix has trace 0)
- It is closed under addition (the sum of two matrices with trace 0 has trace 0)
- It is closed under scalar multiplication (a scalar multiple of a matrix with trace 0 has trace 0)

To prove that W is a subspace, we can use the definition of a subspace and check that it satisfies the three conditions. Let A and B be two matrices with trace 0 in W and c be a scalar.
1. Zero vector: The zero matrix has trace 0, so it is in W.
2. Closed under addition: We need to show that A+B has trace 0.

Trace of A+B = Trace(A) + Trace(B) (linearity of trace)
Trace of A+B = 0 (because A and B have trace 0)
Therefore, A+B has trace 0, and it is in W.

3. Closed under scalar multiplication: We need to show that cA has trace 0.

Trace of cA = c*Trace(A) (linearity of trace)
Trace of cA = 0 (because A has trace 0)
Therefore, cA has trace 0, and it is in W.

Therefore, W is a subspace of R^n consisting of all matrices with trace 0.

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Answer:

Well, as it turns out, when two figures are similar or congruent, they have certain properties, and these properties can be used to prove relationships between the figures. When two figures are similar figures, they have the following properties: Corresponding angles have equal measure.

Step-by-step explanation:

The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.

Using the properties of logarithm, we have,

logm 4/m = logm 4 - logm m

               =1.139 - logm m               .....................................(1)

Again, using the properties of logarithm, we know that:

logm 4 = logm (2 × 2)  

        = logm 2 + logm 2

         = 1.139 = 2logm 2                    ..................................(2)

Substituting equation (2) into (1) gives:

logm 4/m = 2logm 2 - logm

           m = 2logm (2/m)          ..................................................(3)

Using the property of logarithm once again, we know that:

loga b = logc b / logc a                     ............................................(4)

Substituting equation (4) into equation (3), we have:

logm 4/m = 2 logm 2 - logm

m= logm [(2/m)² / m]                       .............................................(5)

Now, we are to find logm 4/m by substituting the given values.

Using equation (2), we have:

logm 2 = (1.139)/2

     = 0.5695

Using equation (5), we get:

logm 4/m = logm [(2/m)² / m]

logm 4/m = logm [4/m²m]

 logm 4/m = logm 4 - logm

logm 4/m = 1.139 - 2 logm m

Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

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Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

By solving a system of equations we will see that the correct option is A.

First, let's define the variables:

First, we know that 70 tickets were sold, so:

x + y = 70

And we know that they reached $804, then we have:

x*$10 + y*$12 = $804

Then our system is:

x + y = 70

x*$10 + y*$12 = $804

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:

x = 70 - y

Now we can replace that in the other equation to get:

(70 - y)*$10 + y*$12 = $804

$700 - y*$10 + y*$12 = $804

$700 + y*$2 = $804

y*$2 = $804 - $700 = $104

y = $104/$2 = 52

So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.

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Answer:

8 & 7

Step-by-step explanation:

x*y = 56

x+y = 15

y = 15-x

x(15-x)=56

15x-x^2 = 56

x^2 -15x + 56 = 0

Factored Form:  y= (x-8)(x-7)    

Answer:

m = 10

Step-by-step explanation:

Find 'n' first..... then pythag theorem for 'm'....

n is to 5    as  15 is to n

n/5   = 15/n

n^2 = 75     n = sqrt (75)

Then   m^2 =  n^2 + 5^2

            m^2 = 75  +  25       s-o-o-o-o:     m = 10

Answer:

answer is the ratios are not equivalent or not in proportion

Step-by-step explanation:

you can find it by crops multiplication

4/7

8/11

4*11

8*7

44=56

Therefore it is not in proportion

Answer:  4 : 7 = 8 : 14

8 : 11 = 16 : 22

Step-by-step explanation:

The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

The number of organisms (n) at any time is proportional to the initial number organisms (n0) is True.

The equation for growth of bacterial cells after n number of generations is -

N = No 2n

Where N = final number of cells.

No = initial number of cells

n = number of generations

As clear from the equation, the value of N depends on the initial number of cells in a population. Or we can say, N is directly proportional to No. Therefore, the statement is true.

Given that the population of bacteria has grown from 2.2*104 CFU/g to 2.2*107 CFU/g in a week (7 days).

The number of generations passed after 7 days can be calculated as -

N = No 2n

Putting values, we get

2.2*107 = 2.2*104 * 2n

2n = 103

Taking log of both sides,

n log 2 = log 103

n = 3/0.3

n = 10

S, after one week, 10 generations are passed.

Now we need to take final population of bacteria after one week to be 2.2*105 CFU/g.

Putting values in equation, the initial number of cells can be calculated as -

2.2*105 = No *210

No = 2.2*105 / 1024

No = 177,419.

Therefore, we need to keep initial population of 177,419 CFU/g to increase the shelf life of food.

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Complete question:

1. The number of organisms (N) at any time is proportional to the initial number organisms (No)? a. True b. False 2. Your first job out of college is working for Ricky's Risky Ready-To-Eat Foods. As a microbiologist for the company, you are tasked with extending the shelf-life of the company's leafy greens salad mixes. You find that a salad mix has an initial total plate count of 2.2 x 104 CFU/g (colony forming units per gram). After one week of refrigerated storage, the count reaches an unacceptable level of 2.2 x 107 CFU/g. You decide that an acceptable level of 2.2 x 105 CFU/g could be achieved if the initial count were lower. What starting level of bacteria would you need to achieve this goal?

The null hypothesis would be H0: p <= 0.25 and the alternative hypothesis would be Ha: p > 0.25

The null hypothesis represents the default assumption that there is no significant difference between the proportion of high school couples who believe they will marry their high school sweetheart and the researcher's claim that more than 25% of high school couples believe they will marry.

The alternative hypothesis represents the claim that the researcher wants to test, which is that the proportion of high school couples who believe they will marry their high school sweetheart is greater than 25%.

So, the null hypothesis would be:

H0: p <= 0.25 (where p is the proportion of high school couples who believe they will marry their high school sweetheart)

The alternative hypothesis would be:

Ha: p > 0.25 (where p is the proportion of high school couples who believe they will marry their high school sweetheart)

The researcher would then use statistical methods to test if the sample data provide enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Answer:

12

Step-by-step explanation:

you just have to substitute -9 into -2x-6

-2(-9) - 6

18 - 6

=12

hope that helps

Answer:

f(- 9) = 12

Step-by-step explanation:

Substitute x = - 9 into f(x) , that is

f(- 9) = - 2(- 9) - 6 = 18 - 6 = 12

Given:

A transformation was performed on PQRS to form P'QʻR'S'.

To find:

The transformation.

Solution:

The given graph shows two similar polygons. It means, dilation was performed.

From the given graph it is clear that,

\(PS=2\) units

\(P'S'=1\) units

Now,

\(\text{Scale factor}=\dfrac{P'S'}{PS}\)

\(\text{Scale factor}=\dfrac{1}{2}\)

A dilation factor of \(\dfrac{1}{2}\) was performed on PQRS to form P'QʻR'S'.

Therefore, the correct option is (3).

The total cost for 8 hours of work is $425.

The total cost for 10 hours of work is $525.

The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.

Cost = fixed charge + variable charge

C = $25 + $50h

The total cost for 8 hours

$25 + $50(8)

$25 + $400

= $425.

The total cost for 10 hours

$25 + $50(10)

$25 + $500

$525.

6. Construction of an Isosceles Triangle incorporating CD as one of the sidesThe Steps involved in construction of an Isosceles Triangle incorporating CD as one of the sides:Draw a line CD of a given length.Measure the length of CD and mark it as the base length of the isosceles triangle.

Draw two circles with centers as C and D respectively, and radii equal to the length of CD.Draw a line segment passing through the two points where the two circles intersect. This line segment represents the base of the isosceles triangle.Construct perpendicular bisectors to the base of the isosceles triangle using a compass and ruler.The intersection point of the two perpendicular bisectors is the center of the circle inscribed in the triangle.Draw arcs of the circle from each vertex of the isosceles triangle such that they intersect with the circle inscribed in the triangle.Draw line segments from each vertex of the isosceles triangle to the intersection points of the arcs and the circle inscribed in the triangle. This gives the sides of the isosceles triangle.7. Construction of a Regular Hexagon incorporating CD as one of the sidesThe Steps involved in construction of a Regular Hexagon incorporating CD as one of the sides:Draw a line CD of a given length.Construct two perpendicular bisectors on the line CD using a compass and ruler. Label the intersection point of the perpendicular bisectors as E and draw a circle centered at E, passing through C and D.Draw the line segment joining C and D.Construct the perpendicular bisector of the line segment CD using a compass and ruler. Label the intersection point of the perpendicular bisector and CD as F. Draw a circle centered at F with a radius equal to the length of CF.The point of intersection of the circle with the perpendicular bisector of CD is labeled as G.The points where the circle centered at E intersects with the circle centered at F are labeled H and I.Draw the lines GH, HI, and IF. These lines form an equilateral triangle.Draw a circle with center at C and radius equal to the length of CD.Draw the lines CH, CI, CD, DI, DG, and CG. These lines form a hexagon with CD as one of its sides.8. Construction of a square incorporating CD as one of the sidesThe Steps involved in construction of a square incorporating CD as one of the sides:Draw a line CD of a given length.Construct the perpendicular bisector of the line CD using a compass and ruler. Label the intersection point of the perpendicular bisectors as E. Draw a circle centered at E, passing through C and D.Draw a line segment perpendicular to CD, passing through the midpoint of CD.Label the intersection points of the line segment and the circle as F and G.Draw lines CF, CG, DG, and DF. These lines form a square with CD as one of its sides.Construct a circle centered at the midpoint of CD with radius equal to half the length of CD. This circle is the inscribed circle of the square.

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Answer:

A. $113.70

Step-by-step explanation:

The new net income of Charlene is $113.7 if Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

Charlene net income = 7% of her monthly salary

Charlene net income = 3410(7/100) = $238.7

After paying the $125 from the net income:

= 238.7 - 125

= $113.7

Thus, the new net income of Charlene is $113.7 if Charlene has a monthly salary of $3,410. With her present budget, Charlene has a net income that is 7% of her monthly salary.

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Answer:

The answer is y=4x+2 i got it right on my quiz :)

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

P ( walks or takes the bus) = walks or takes the bus/ total

walks = 10

takes the bus = 25+ 20+5 = 50

There is no overlap

P ( walks or takes the bus) = walks or takes the bus/ total

                                             = (10+ 50)/ 100

                                             = 60/100

                                             =3/5

Answer:3/5

Step-by-step explanation:

Just put the answer in and it’s right

Step-by-step explanation:

Hindi ko poh alam ✌️

The amount of tip joe gave rounded to the nearest cent is

$13.70

Joe's Bill = $54.99

Tip = 25% of $54.99

Let us solve for the amount of the tip

Amount of tip = 25/100*$54.99

Amount of tip = 0.25*$54.99

Amount of tip = $13.7475

Rounding to the nearest cent we have

Amount of tip = $13.70

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The critical point of the function g(x, y) = 5x - 7y + 4xy - 7x^2 + 4y^2 is (x, y) = (17/18, 37/18).

To find the critical points of the function g(x, y) = 5x - 7y + 4xy - 7x^2 + 4y^2, we need to find the values of x and y where the partial derivatives of g with respect to x and y equal zero.

First, let's find the partial derivative with respect to x:

∂g/∂x = 5 + 4y - 14x

Setting ∂g/∂x = 0, we have:

5 + 4y - 14x = 0

Next, let's find the partial derivative with respect to y:

∂g/∂y = -7 + 4x + 8y

Setting ∂g/∂y = 0, we have:

-7 + 4x + 8y = 0

Now, we have a system of equations:

5 + 4y - 14x = 0

-7 + 4x + 8y = 0

Solving this system of equations, we can find the values of x and y that satisfy both equations.

From the first equation, we have:

5 + 4y - 14x = 0

4y = 14x - 5

y = (14/4)x - 5/4

Substituting this into the second equation, we get:

-7 + 4x + 8[(14/4)x - 5/4] = 0

-7 + 4x + 14x - 10 = 0

18x = 17

x = 17/18

Substituting the value of x back into y = (14/4)x - 5/4, we find:

y = (14/4)(17/18) - 5/4

y = 119/36 - 45/36

y = 74/36

y = 37/18

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Answer:

Th answers are below

Step-by-step explanation:

a) 9.4419

b) 9.3361

Answer:

f(x) = 4x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 5) ← 2 ordered pairs from the table

m = \(\frac{5-1}{2-1}\) = 4 , thus

y = 4x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (2, 5) , then

5 = 8 + c ⇒ c = 5 - 8 = - 3

Thus

f(x) = 4x + 3 ← is the function rule

Answer:

30 moviegoers

Step-by-step explanation:

1% of 150 is 1.5

20% of moviegoers recommend the movie

1.5 times 20 = 30

It will take them 80 days to sprint 20 miles.

The method that can be used in solving this type of question involves the use of equating fractions together with their arithmetic operation.

A fraction usually consists of two terms with a term located in the upper part called the numerator and another term located in the lower part called the denominator.

From the parameters given:

Then, the estimate of the number of days it will take them to sprint 20 miles can be computed as:

\(\mathbf{= \dfrac{20 \ miles }{\dfrac{1}{4} \ miles/ day}}\)

\(\mathbf{= 20 miles \times \dfrac{4}{1} \ day/miles}\)

= 80 days

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Answer:

3 m/s

Step-by-step explanation:

\( \frac{50 - 20}{10} = 3\)

The percent change in the number of pounds that Jake can lift is 80%.

From the information illustrated, Jake could lift 25lbs and one month later he could lift 45lbs.

The percentage change will be:

= Change in pounds / Original pounds × 100

= (45 - 25) / 25 × 100

= 20 / 25 × 100

= 4 / 5 × 100

= 80%

The percentage change is 80%.

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\( {7}^{3} \\ 7 \times 7 \times 7 \\ 49 \times 7 \\ 343\)

343 is the cubed of 7

Answer:

38.62

Step-by-step explanation:

You can figure this out by converting these to a positive number, then subtracting the lower number from the higher number.