Which number has a value between -8.423 and -8.395?

A. -8.1
B. -8.75
C. - 8 1/2
D. 8 2/5

Answer:

Step-by-step explanation:

Given function:

The vertical stretch is the function with:

With a = 5 the function becomes:

Step-by-step explanation:

c^2 = a^2 + b^2

A

\( \sqrt{40 ^{2} + 30 {}^{2} } = 50\)

B

\( \sqrt{60 {}^{2} - 40 {}^{2} } = 44.7\)

Answer:

True

Step-by-step explanation:

Angles 1 and 5 match each other; they are congruent and in the same positions. There are therefore corresponding.

By using synthetic division and the Remainder Theorem, we have found that f(-2) = -14, f(-1) = -7, f(0) = 7, f(1) = -6 and f(2) = -6.

Synthetic Division: Synthetic division is a shorthand method for dividing polynomials. It is used to divide a polynomial by a binomial of the form x - k, where k is a real number. To perform synthetic division, the coefficients of the polynomial are written in a row and divided by the denominator of the binomial.

To calculate f(-2), f(-1), f(0), f(1), f(2):

We will use synthetic division with the binomial x - k, where k = -2, -1, 0, 1, 2.

First, we will write the coefficients of the polynomial in a row:

7, -6, 3

For k = -2:

7|-2  -1  3

-2|-14  0  0

4  1  3

Therefore, f(-2) = -14.

For k = -1:

7|-1  -2  3

-1|-7  0  0

7  1  3

Therefore, f(-1) = -7.

For k = 0:

7|0  -1  3

0|7  0  0

7  -1  3

Therefore, f(0) = 7.

For k = 1:

7|1  0  3

1|7  -6  0

Therefore, f(1) = -6.

For k = 2:

7|2  1  3

2|14  -6  0

Therefore, f(2) = -6.

By using synthetic division and the Remainder Theorem, we have found that f(-2) = -14, f(-1) = -7, f(0) = 7, f(1) = -6 and f(2) = -6.

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Two different ways to fill Cassie's order are:

Option 1: Using only 4 cm red beads, resulting in a 56 cm long necklace.

Option 2: Using a combination of 4 cm and 3 cm red beads, resulting in a 58 cm long necklace.

To find at least two different ways to fill Cassie's order, we need to consider the arrangement of the wooden beads along with the red beads. Let's explore two possible scenarios:

Scenario 1:

In this scenario, we will use the 4 cm red beads. Since Cassie wants a necklace that is 58 cm long and each wooden bead is 1 cm long, we have 58 - 12 = 46 cm remaining to be filled with the red beads.

Option 1:

Using only 4 cm red beads, we can divide the remaining length of 46 cm into 4 cm segments:

- 46 cm ÷ 4 cm = 11 segments

So, we can use 11 red beads, each measuring 4 cm, to fill the remaining length. This gives us a total of 12 wooden beads (1 cm each) and 11 red beads (4 cm each), resulting in a necklace that is 12 + 11(4) = 56 cm long.

Scenario 2:

In this scenario, we will use both 4 cm and 3 cm red beads. Again, we have 46 cm remaining to be filled with the red beads.

Option 2:

Using a combination of 4 cm and 3 cm red beads, we can find a combination that adds up to 46 cm. One possible combination is:

- 11 red beads measuring 4 cm each (11 x 4 cm = 44 cm)

- 2 red beads measuring 3 cm each (2 x 3 cm = 6 cm)

This combination results in a necklace that is 12 + 11(4) + 2(3) = 58 cm long, fulfilling Cassie's requirement.

Therefore, two different ways to fill Cassie's order are:

- Option 1: Using only 4 cm red beads, resulting in a 56 cm long necklace.

- Option 2: Using a combination of 4 cm and 3 cm red beads, resulting in a 58 cm long necklace.

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Answer:

3x + n+6

Step-by-step explanation:

The required expression to represent the situation is; 3n+18

According to the question;

Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.

Hence, 3 times the absolute value is;

Hence, upon evaluation; the expression is; 3n + 18

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The function of the graph is g(x) = [x]+2

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of terms

y = output variable

x = input variable

m = slope

c = y intercept

The c from the graph is +2

m for points (1, 3) and (-3, -1)

= (-1 - 3) / (-3 - 1)

= -4/-4

= 1

substituting to the equation  y = mx + c

y = x + 2

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\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.

Step by Step:

Keep this in mind >>

Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.

All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.

Answer:

X=11

Step-by-step explanation:

So simplify the equation by distibuting on 1 side

-2+4x=6x-24

Now solve it normally

Subtract 4x on both sides

-2=2x-24

Now add 24 on both sides

22=2x

Now divide 2 on both sides

x=11

Answer:

The value of x ⇨ 11

Step-by-step explanation:

⟺ Distribute 6 in the expression (x-4)

\(-2+4x=6x-24\)

⟺ Because the variable terms cannot do anything with the constant, therefore we move the x-terms to the same side. We also move both constant to the same side as well.

\(-2+24=6x-4x\\22=2x\)

⟺ Move 2 to divide 22, leaving the x-term as only subject in the equation.

\(\frac{22}{2}=x\\11=x\)

Thus, the value of x ⇨ 11

Answer:

Step-by-step explanation:

the expression is equivalent with

5(3n-2)=15n-10

Answer:

(f + g)(x) = 2x³ + 3x² - 5x - 3 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x³ + 3x² -7x + 2

∵ g(x) = 2x - 5

→ (f + g)(x) means add f(x) and g(x)

∴ (f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)

→ Add the like terms

∵ (f + g)(x) = 2x³ + 3x² + (-7x + 2x) + (2 - 5)

∴ (f + g)(x) = 2x³ + 3x³ + (-5x) + (-3)

→ Remember that (+)(-) = (-)

∵ 2x³ + 3x³ + (-5x) + (-3) = 2x³ + 3x² - 5x - 3

∴ (f + g)(x) = 2x³ + 3x² - 5x - 3

Answer:

B) -40

C)22

D)-11

Step-by-step explanation:

a) 60

b) -40

c) 22

d) -11

hope it helps :D

The standard deviation of the random variable X is 2.73861279.

Standard deviations is a measure of the spread of a data set around the mean. It is calculated by taking the square root of the variance of the data set and is used to measure the variability of a data set from the mean. Standard deviations are used to measure the probability of a certain outcome occurring and can be used to compare different data sets to see how much variability there is in the data.

Standard deviation is a measure of dispersion of data points around the mean of the data set. It is a measure of the variability of the data set. It is calculated by taking the square root of the variance of the data set.

Variance is the average of the squared differences of each data point from the mean. It is calculated by taking the sum of the squares of the differences of each data point from the mean and dividing by the number of data points minus one.

In this case, the mean of the data set is 3, because the probabilities of -2 and 5 are equal.

The variance of the data set is calculated as follows:

Variance = (0.3*(3-(-2))2 + 0.2*(3-3)2 + 0.5*(3-5)2) / (3-1)

Variance = (0.3*25 + 0 + 0.5*4) / 2

Variance = 7.5

The standard deviation of the data set is calculated by taking the square root of the variance, which is equal to 2.73861279.

Therefore, the standard deviation of the random variable X is 2.73861279.

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The value of 411 - 123 using the standard algorithm is 288.

Consider the expression in which the term 123 is subtracted from the term 411.

The Right to Left Standard Subtraction Algorithm, which starts with one column and subtracts, then moves to the left and subtracts at each column, is the most popular subtraction algorithm. Of course, there is an issue when you have to regroup since the top digit is less than the bottom digit.

The current algorithm for teaching subtraction calls for "regrouping," which was once known as "borrowing." With manipulatives, this method is typically demonstrated by exchanging 10 for 10 ones and 100 for 10 tens. When you have to "borrow across zero," it gets more difficult because you have to exchange for 9 tens and 10 ones. There are still more complicated cases.

Therefore, the subtraction 411 - 123 using the standard algorithm will be:

      (10)

 (3) (0)  (11)

 4    1     1

- 1    2     3

__________

 2      8       8

Hence, the value of the expression 411 - 123 is 288.

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Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

Answer:

35

Step-by-step explanation:

got it right

Answer:

0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12

Step-by-step explanation:

Given :

Number of monkeys, n1 = 10

Probability of fall, off ; p(m) = 35% = 0.35

Number of kangaroos, n2 = 5

Probability of fall, off : p(k) = 20% = 0.2

1.) A monkey and kangaroo falls off;

p(m) * p(k) = 0.35 * 0.2 = 0.07

2.) probability that monkey will not fall off;

1 - p(m) = 1 - 0.35 = 0.65

3.) probability that a monkey falls off every one of seven nights :

P(m) = 0.35 ; for 7 nights ;

0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875

4.)

P(x ≥ 1) = p(1) + p(2) +... + p(10)

Using binomial probability calculator :

n = 7*10 = 70 ; p = 0.35

P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12

y-(-9) = -6(x-(-4)), y = -6x-33

Consecutive numbers are numbers that follow each other in order, with a difference of 1 between each number.

The concept of consecutive numbers has been studied since ancient times, and has been used in various mathematical problems and puzzles.

Consecutive numbers are also commonly used in algebra, where they can be used to set up equations to solve problems. For example, if you are asked to find the sum of the first n consecutive numbers, you can set up the equation (n/2)(2a + (n-1)) = sum, where a is the first number and sum is the total sum of the consecutive numbers.

In geometry, consecutive numbers are used to define polygons, such as triangles, quadrilaterals, pentagons, and so on. For example, a triangle consists of three consecutive vertices on a plane, while a quadrilateral consists of four consecutive vertices.

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Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

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Answer:

5

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

When you scale down you divide. it showed that 9 = 3. to go from 9 to 3 you divide by 3. So you have to do the same thing for the other number. So, 18 divided by 3, which is 6.

When you scale up you multiply. it showed that 18 = 36. To get from 18 to 36 you multiply by 2. So, you do the same thing to the other number, 9 times 2, which is 18.

ANSWER

EXPLANATION

It has been determined that there are 4 Americana chickens and 8 Delaware chickens.

Each Americana chicken lays 2 eggs per day.

Each Delaware chicken lays 1 egg per day.

First, let us find the number of eggs after one week.

To do this, multiply the number of eggs the chickens lay per day by the number of days in a week i.e. 7:

There are 4 Americana chickens and 8 Delaware chickens, so, the total number of eggs becomes:

Now, find the number of full dozens in 112 eggs by dividing by 12:

In other words, there are only 9 full dozens after 1 week.

Allysa only sells eggs by a full dozen for $2.50. This means that after one week, the amount of money she expects to take in is:

the simple interest formula is

where I is the interest, P the principa, r the rate and t the time.

We know that,

hence,

In other words r=4.2%

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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An airplane is heading north at an airspeed of 640 km/hr, but there is a wind blowing from the southwest at 90 km/hr. degrees off course will be 6.25°

Generally, the equation for the velocity of the plane with reference to the ground is  mathematically given as

Vp=  velocity of the plane with reference to wind+  velocity of the wind with reference to ground

Therefore

Vp=Vp'+Vw

\(mVp=\sqrt{(640)^2+(90)^2-2*640*90cos45}\)

mVp=579.8km/h

where

\(\frac{sintheta}{90}=\frac{sin45}{Vp'}\)

\(sin \theta=\frac{90}{579.8}*sin45\)

sin\(\theta=0.109\)

\(\theta=sin^{-1}(0.109)=6.25\)

In conclusion,  degrees off course will be 6.25

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The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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The total price of the vehicle would be $18,192.88.

The total deferred price of the car would be $11,191.60.

The length of the financing agreement is 68 months .

The total deferred price after the payments was $19,601.84.

The monthly payments would be $516.92.

Subtotal = Base price + Options + Destination charges

Subtotal = $14,500 + $982 + $592 = $16,074

Dealer preparation = 5% of subtotal

Dealer preparation = 0.05 x $16,074 = $803.70

Sales tax = 7% of subtotal

Sales tax = 0.07 x $16,074 = $1,125.18

Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee

Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88

Tax = 8% of selling price = 0.08 x $8,850 = $708

Tag fee = $130

Title fee = $35

Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223

Annual interest rate = 9.5%

Number of years financed = 3

Total finance charges = $8,223 x 0.095 x 3 = $2,341.595

Total financed amount = $8,223 + $2,341.595 = $10,564.595

Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615

Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595

Total deferred price = $28,000

Down payment = $2,100

Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900

Monthly payments = $380

Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16

The financing agreement is approximately 68 months long.

Sticker price = $19,200

Discount = 6% of sticker price = 0.06 x $19,200 = $1,152

Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048

Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84

Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84

Using the formula for monthly payments on a loan:

P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)

= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92

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Answer:

I think the answer is c I guess

Answer:

30

Step-by-step explanation:

If A||B then the sum of given angles must be equal to 180°

2x + 50 + 5x - 80 = 180 add like terms

7x - 30 = 180 add 30 to both sides

7x = 210 divide both sides by 7

x = 30