I am larger than 6. To the nearest whole, I round down not up. My ones digit is odd, but my tenths digit is even

Answer:

  D.  -3 must be a root

Step-by-step explanation:

You want to know what it means that dividing 2x² +9x +9 by x+3 leaves a remainder of zero.

The remainder theorem tells you that dividing f(x) = (2x² +9x +9) by (x +3) has a remainder equal to f(-3). When that remainder is zero, it tells you that ...

  f(-3) = 0   ⇒   -3 is a root of the polynomial (2x² +9x +9), choice D.

__

Additional comment

It also tells you that 2x+3 = 0 will give you the other root: x = -3/2.

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Answer:

b > - 9

Step-by-step explanation:

i hope i did okay i try my best

Answer:

1:5cm

Step-by-step explanation:

convert 5m to cm which is 500cm and then simplify which us 1:5cm

Answer:

1:5cm

Step-by-step explanation:

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

3.) 6 hours

4.) $52.5

5.) 15 minutes

6.) 16

Step-by-step explanation:

3.) 130/2.5 is rate he works at which is 52 houses per hour so do 312 divided my 52 to get 6 hours

4.) 12 months in a year so you do $630 divided 12 months to get a cost of $52.5 per month

5.) 16 miles divided by 20 minutes gives the rate it travels at which is 0.8 miles per minute. So, do 12 divided by 0.8 to get 15 minutes

6.) A dozen is 12 so you do $3.84 divided by 12 to get the cost of one egg which is $0.32 and multiply that by 50 eggs to get a cost of $16

Answer:

a

Step-by-step explanation:

The missing statement for step 7 in this proof include the following: A.  ΔDGH ≅ ΔFEH.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

Based on the information provided parallelogram DEGF, we can logically proof that line segment GH is congruent to line segment EH and line segment DH is congruent to line segment FH using some of this steps;

GH ≅ EH and DH ≅ FH

∠HGD ≅ ∠HEF  and ∠HDG ≅ ∠HFE

DG ≅ EF

ΔDGH ≅ ΔFEH (ASA criterion for congruence)

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In this series, the common ratio is r = 1/16, which is between -1 and 1. Therefore, the series is convergent.

This is a geometric series and can be expressed as S = 1 + (1/16)2^n. The series is convergent if the common ratio (r) is between -1 and 1. In this series, the common ratio is r = 1/16, which is between -1 and 1. Therefore, the series is convergent.

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If the length of the rectangle is represented by "x," then the width is (x - 58), and the area can be calculated as x² - 58x.

Let's go through the problem step by step to find the area of the rectangle.

Let's assume that the length of the rectangle is represented by the variable "x" (as stated in the question). According to the given information, the width of the rectangle is 58 units less than its length.

If the width is 58 units less than the length, we can represent the width as (x - 58). This means that the length minus 58 gives us the width.

Now, to find the area of the rectangle, we use the formula:

Area = Length × Width

Substituting the values we have:

Area = x × (x - 58)

Expanding the equation:

Area = x² - 58x

So, the area of the rectangle is given by the expression x² - 58x.

To summarize, if the length of the rectangle is represented by "x," then the width is (x - 58), and the area can be calculated as x² - 58x.

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4.1 If X is contingent (neither a tautology nor a contradiction) and Y is a tautology (always true), ¬X V Y is a tautology.

4.2 No, it does not necessarily follow that Y must entail ¬Z. Y does not necessarily entail ¬Z.

4.3 The tautologies of X and X → Z do not provide sufficient information to conclude that Z itself is a tautology.

4.1 If X is contingent (neither a tautology nor a contradiction) and Y is a tautology (always true), the sentence ¬X V Y must be a tautology. This is because the disjunction (∨) operator evaluates to true if at least one of its operands is true. In this case, since Y is a tautology and always true, the entire sentence ¬X V Y will also be true regardless of the truth value of X. Therefore, ¬X V Y is a tautology.

4.2 No, it does not necessarily follow that Y must entail ¬Z. Logical equivalence between X and Y means that they have the same truth values for all possible interpretations. Inconsistency between X and Z means that they cannot both be true at the same time. However, logical equivalence and inconsistency do not imply entailment.

Y being logically equivalent to X means that they have the same truth values, but it does not determine the truth value of ¬Z. There could be cases where Y is true, but Z is also true, making the negation of Z (¬Z) false. Therefore, Y does not necessarily entail ¬Z.

4.3 No, it does not necessarily follow that Z is also a tautology. The fact that X and X → Z are both tautologies means that they are always true regardless of the interpretation. However, this does not guarantee that Z itself is always true.

Consider a case where X is true and X → Z is true, which means Z is also true. In this case, Z is a tautology. However, it is also possible for X to be true and X → Z to be true while Z is false for some other interpretations. In such cases, Z would not be a tautology.

Therefore, the tautologies of X and X → Z do not provide sufficient information to conclude that Z itself is a tautology.

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The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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Answer: 7/8 or 0.875

Step-by-step explanation:

28

32

​  

Reduce the fraction  

28/32

​  

 to lowest terms by extracting and canceling out 4.

7/8

the simplest form of given fraction 28/32 is 7/8.

Given that:

Fraction: 28/32

To write the fraction 28/32 in its simplest form, to find the greatest common divisor (GCD) of the numerator (28) and the denominator (32) and then divide both the numerator and denominator by that GCD.

Step 1: Find the GCD of 28 and 32.

The factors of 28 are 1, 2, 4, 7, 14, and 28.

The factors of 32 are 1, 2, 4, 8, 16, and 32.

The largest common factor between 28 and 32 is 4.

Step 2: Divide both the numerator and denominator by the GCD (4).

28 ÷ 4 = 7

32 ÷ 4 = 8

Hence, the simplified fraction is 7/8.

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Answer:

Shoulders down and back

Step-by-step explanation:

Try it

Answer:

The answer is B. Stomach, hip, knee, and ankle.

Step-by-step explanation:

The answer is Stomach, hip, knee, and ankle because I took this quiz and I got the answer wrong so it's Stomach, hip, knee, and ankle.

The median number of faculty in departments in the college of arts and science is 12.

The median is a measure of central tendency that represents the middle value of a dataset when the values are sorted in ascending or descending order. Its purpose is to give a single representative value for the dataset, offering a way to understand the center of the data distribution. Unlike the mean, which can be affected by extreme values, the median is resistant to outliers and gives us a better understanding of what a typical value in the data set might be.

To find the median number of faculty in the College of Arts and Science at Delta University, first, arrange the department faculty numbers in ascending order:

7, 8, 9, 11, 12, 13, 14, 15, 17.

Since there are nine departments, which is an odd number, the median will be the middle value in the sorted list. So the middle number is the fifth number, which is 12

The median number of faculty in departments in the College of Arts and Science at Delta University is 12, as it is the middle value in the sorted list.

Note: The question is incomplete. The complete question probably is: The college of arts and science at delta university has nine departments. The number of faculty in each department is shown below. What is the median number of faculty in departments in the college of arts and science? 8, 12, 9, 15, 17, 11, 13, 14, 7.

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Answer:

Step-by-step explanation:you have to add all of the prices together then you have to divide them by the number of different prices

Answer:

Median: 1.64375 or 1.64 ( rounded to the nearest tenth).

Difference: 0.04

Step-by-step explanation:

you need to add every number and then divide by the amount of numbers to find the median so:

1.96 + 2.09 + 1.79 + 1.61 + 1.75 + 2.11 + 1.84 = 13.15

now divide by how many chunk of numbers are there so:

13.15/8 = 1.64375 ( there is your median)

the difference from 1 and 3 = 1.79 - 1.75 = .04

Answer:

The answer is c my bad

Step-by-step explanation: your welcome

It is  give me brainliest :)

Answer:

c

Step-by-step explanation:

The equation of the line that contains the point P(-4,6) and has slope 4 is  y=4x+22 .

The equation of line passing through the point (x₁,y₁) with slope (m) is given by the formula

(y-y₁)=m(x-x₁)

In the question ,

it is given that

the required line passes through the point P(-4,6) and has slope 4

So, x₁= -4 , y₁=6 and m = 4

Substituting the values of x₁, y₁ and m in the equation of line formula , we get

y-6=4(x-(-4))

y-6=4(x+4)

y-6=4x+16

y=4x+16+6

y=4x+22

Therefore , the equation of the line that contains the point P(-4,6) and has slope 4 is  y=4x+22 .

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Answer:

5

Step-by-step explanation:

We know that a^b^c = a^ (b*c)

1/25 ^(-2/3* 3/4)

1/25^ (-2/4)

1/25 ^ -1/2

Rewriting 1/25 as 5^-2

5^-2 ^-1/2

Again a^b^c = a^ (b*c)

5^(-2*-1/2)

5 ^ 1

5

Answer:

The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters

Step-by-step explanation:

The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows  

Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5

We have the four digit numbers from 1000 to 9999

Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940

Which gives 142 - 15 =  127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0

Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.

The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters

Applying the given information;

size of house number = Four digits which is a multiple of 5 and 7

House number ends with 0

given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10

The Four digit house number will fall between : 1000 to 9999

    ( 1000 / 70 ) = \((14 + 2/7) - 2/7)*70 + 70 = 1050\)

    ( 9999 / 70 ) = \(( 142 + 59/70)- 59/70)*70= 9940\)

∴ The minimum number of letters of a four digit number that is a multiple of    5 and 7 and whose last digit = 0 will be

     142 - ( 14 + 1 ) = 127 letters

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Answer:

0.3 is the answer to your question

The fraction 30/100 simplifies to 3/10.

We have to simplify the fraction 30/100

we can reduce it by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The greatest common divisor of 30 and 100 is 10.

By dividing both 30 and 100 by 10, we get:

30/100

= (30 ÷ 10) / (100 ÷ 10)

= 3/10

Therefore, the fraction 30/100 simplifies to 3/10.

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If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

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The area of the triangle by the given points i.e. P(1,1,1) , Q(-2,-7,-1) and R(-7,-1,4) is √4773/2. The area of the triangle is \(\frac{1}{2}\)  |PQ × PR|.

From the points that is  given in the question with the adjacent sides,

P(1,1,1) , Q(-2,-7,-1) and R(-7,-1,4)

Area of the triangle = \(\frac{1}{2}\)  |PQ × PR|

then, from the above points,

PQ = <-3,-8,-2>

and PR = <-8,-2,3>

now, The matrices can be written as,

PQ × PR = \(\left[\begin{array}{ccc}i&j&k\\-3&-8&-2\\-8&-2&3\end{array}\right]\)  

by calculating the above matrices we get,

= -28i + 25j - 58k

| PQ × PR | = \(\sqrt{28^{2} + 25^{2} + 58^{2}\)

=√4773

However, the Area of the triangle = √4773 / 2

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The question is-

Find the area of the triangle determined by the points P(1,1,1) , Q(-2,-7,-1) and R(-7,-1,4).

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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Answer:

ikr

Step-by-step explanation:

Answer:

lol SAME!! i hate it so much!! they deleted all of my stuff in one day and didn't even have a reason to!!! I got banned for 2 weeks :( i's irritating

Step-by-step explanation:

To find out when John, Maria, and Bruce will all go to the clinic on the same day, we need to find the least common multiple (LCM) of the numbers 6, 8, and 12, which represents the number of days that will pass before they all meet at the clinic again.

First, we can list the multiples of each number until we find a common multiple:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, ...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

From these lists, we can see that the LCM of 6, 8, and 12 is 24. Therefore, John, Maria, and Bruce will all go to the clinic on the same day again in 24 days from February 17th, 2020.

To find out the exact date, we can add 24 days to February 17th, 2020:

February 17th + 24 days = March 12th, 2020

Therefore, John, Maria, and Bruce will all go to the clinic together again on March 12th, 2020.

Answer:

We can find the next time that John, Maria, and Bruce will all go to the clinic together by finding the least common multiple (LCM) of their visit frequencies.

The visit frequency of John is 6 days, Maria is 8 days, and Bruce is 12 days. To find the LCM, we can list out the multiples of each number until we find a common multiple:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120...

From the lists above, we can see that the next time they will all go to the clinic together is on the 24th day, which is the least common multiple of 6, 8, and 12. Therefore, John, Maria, and Bruce will all go to the clinic together again on March 12th, 2020 (since February only has 29 days in a leap year).

Step-by-step explanation:

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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Answer:

y = 5x + 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, - 2 ) and (x₂, y₂ ) = (4, 23 )

m = \(\frac{23-(-2)}{4-(-1)} \) = \(\frac{23+2}{4+1} \) = \(\frac{25}{5} \) = 5 , then

y = 5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 23 ) , then

23 = 20 + c ⇒ c = 23 - 20 = 3

y = 5x + 3 ← equation of line

The solution to this question is  27 units the perimeter of kite OBDE.

The perimeter of a shape is the entire length of the shape's boundary as used in geometry. A form's perimeter can be calculated by adding the lengths of all of its sides and edges. In order to calculate it, linear distances such as centimeters, meters, inches, or feet are used.

Here

This is because 15x15 =225

8x8 = 64

225+64=289 and

the square root of 289 is 17 and that is the diameter of the circle and the hypotenuse of the triangle and since the kite has two congruent sides which are both radii or  can be written as half of a diameter times two would be the same as the length of the diameter which is17+the two bottom sides (which are both 5 and 5 )

So 5+ 5 = 10 and

10 + 17 =27 or the perimeter of the kite.

Therefore ,the perimeter of kite OBDE is 27 units.

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Answer: The slope of the line passing through the points (-3, 5) and (4, -1) is -6/7.

Step-by-step explanation:   To find the slope of a line given two points, you can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the points (-3, 5) and (4, -1), we can substitute the values into the formula:

slope = (-1 - 5) / (4 - (-3))

= (-6) / (4 + 3)

= (-6) / 7

Therefore, the slope of the line passing through the points (-3, 5) and (4, -1) is -6/7.

Answer:  

\(Slope=-\frac{6}{7}\)

Step-by-step explanation:

\(m= \frac{y2-y1}{x2-x1} \\\\m=\frac{-1-5}{4-(-3)} \\\\m=\frac{-6}{7} \\\\Slope= -\frac{6}{7}\)