On a coordinate plane, a line with positive slope is drawn from point a to point b. point a is at (negative 5, negative 1) and point b is at (4, 1). what are the coordinates of point p on the directed line segment from a to b such that p is one-fourth the length of the line segment from a to b? (startfraction negative 29 over 4 endfraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)

The value of a is 6 and value of b is 24 for (√a + √8a)² = 54+b√2

Two or more expressions with an Equal sign is called as Equation.

The given equation is (√a + √8 a)² = 54+b√2

Using algebraic identity  (a+b) ²= a² + b ²+ 2ab

(√a )²+ ( √8 a )²+ 2×√a×√8a = 54 + b√2

a + 8 a + 2 ×√8 × √a x√a = 54 + b√2

a + 8a + 2×2√2 ×a = 54 + b √2

9a + 4a√2. = 54 + b√2

comparing above equations

9a = 54

a = 54/9

a = 6

4a = b

substituting a = 6

4×6 = b

b = 24

Hence, the value of a is 6 and value of b is 24.

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The assertion that there aren't many extra genes in humans compared to other organisms would be the one this statement would most strongly support.

Genes are stretches of DNA that aid in the precise determination of each trait. The primary biological factor transmitted from parent to child. Genes are composed of DNA sequences and are organised sequentially at specified sites on chromosomes in the cell nucleus.

The human genome project estimates that we contain between 20,000 and 25,000 genes. Daphnia, a microscopic eating flea, contains 31,000 genes, the most of any animal.

Therefore, the claim that there are not particularly many genes in humans compared to other organisms would be most strongly supported by this statement.

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The claim that humans have more number of genes than chickens and grapes

The statement provided by Roberta states that the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. This statement indicates that grapes have more genes than chickens. Therefore, it can be inferred that humans have more genes than chickens and grapes, as humans typically have more complex genomes than other species.

Roberta cites the following statement as evidence for a claim. "the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. " From this statement, it can be inferred that humans have more genes than chickens and grapes. This is because humans typically have more complex genomes than other species, and the statement provided suggests that grapes have more genes than chickens. Therefore, the claim that humans have more number of genes than chickens and grapes would be most strongly supported by this statement.

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Answer:

£64233.333333

Step-by-step explanation:

The ratio is 3:2:1

Let their inheritance be 3x, 2x ,x

Then, 3x + 2x + x = £186700

6x = £186700

x = £32116.6666

So, Jayne inherits 2x money or 2 x 32116.6666 = £64233.333333

Pls mark as brainliest if possible. Don't know why i need it, but i do. Cheers

Therefore ,we can state that after resolving the given problem of equation, x = 3 .

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. An equation is an empirical statement that proves the equality among two mathematical expressions, according to the definition of an explanation in algebra. The variables 69x + 7  and 14 are divided by an equation in the solution 56 + 5 = 14, as example. Mathematical equations are used to express the relationship between two words from either end of a letter. In most cases, the symbol serves as the sole variable. a good example

is 2x - 4 = 2.

Here,

At this location, we have

=> x + 2 = 5

=> x = 3

now,

=> 5x= 15

=> x = 15/5

=>x =3

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The question is "Solve for x for the equations  x+ 2 = 5  and 5x =15"

Answer:

the answer is an increase by 28% sorry if i am incorrect

Answer:

y = 8

Step-by-step explanation:

18 + 2y = 34  Subtract 18 from both sides

18 - 18 + 2y = 34 - 18

2y = 16  Divide both sides by 2

[tex]\frac{2y}{2}[/tex] = [tex]\frac{16}{2}[/tex]

y = 8

Check:

18 + 2y = 34

18 + 2(8) = 34

18 + 16 = 34

34 = 34

Answer:

It's a IQ based question

if you focus you'll see first is 1 then 3, 6,9

difference is increasing 2, 3, 4 then next one will be 5. it's quite simple

Answer:

P.E.M.D.A.S

(PARENTHESIS .1

(EXPONETS .2

(MULTIPLICATION .3

(DIVISION .4

(ADDITION .5

(SUBTRACT .6

Step-by-step explanation:

The height of the stamp should be proportional to the width, so if the width is 3 inches, the height should also be 3 inches.

Proportional refers to the relationship between two or more numbers, measurements, or quantities that are mathematically equivalent. In other words, when two or more values are proportional, a change in one value results in an equivalent change in the other. For example, if one quantity is twice as large as another, the two are said to be in a 2:1 proportion. Proportional relationships can also be expressed in equations, such as y=mx+b, where m is a constant factor of proportionality, and b is the y-intercept. Proportional relationships are a key component of algebra and geometry.

This will ensure that the logo looks the same size and shape when printed on the stamp.

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This is calculated by multiplying the proportion of members who said jazz is their favorite type of music (222222/555555) by the total cost number of Bounce Club members (422422422).

1. Calculate the proportion of members who said jazz is their favorite type of music:

222222/555555

= 0.4

2. Multiply the proportion (0.4) by the total number of Bounce Club members (422422422):

0.4 x 422422422

= 400,000

The survey asked 555555 members of the Bounce Club about their favorite type of music and 222222 said that jazz was their favorite type of music the proportion of members who said jazz is their favorite type of music (222222/555555) was multiplied by the total number of Bounce Club members (422422422). This calculation resulted in a most reasonable estimate of 400,000 members whose favorite type of music is jazz.

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Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.

Frank can mow his own yard in 45 minutes.

Joe's yard is 40% larger than Frank's.

Therefore, Joe's yard would take 56 minutes (45 x 1.4) to mow.

The combined time for both yards would be 101 minutes (45 + 56).

This can be expressed as 01:15 (1 minute and 15 seconds).

Frank can mow his own yard in 45 minutes. Joe's yard is 40% larger than Frank's, so it would take Joe 56 minutes to mow his yard. If Frank and Joe worked together, it would take them a combined 101 minutes (45 + 56) to mow both yards. This can be expressed as 01:15 (1 minute and 15 seconds). This is the time it would take them to mow both yards, rounded to the nearest whole number. Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.

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All the pairs that are like terms are given as follows:

1.) -4n and 18n

2.) 15ab and 2ab

5.) 14h and -3h

Like terms are terms that share these two features:

If two terms are like terms, then they can be either added or subtracted.

The like terms for this problem are given as follows:

1.) -4n and 18n -> algebraic variable of n, exponent of 1.

2.) 15ab and 2ab -> algebraic variable of ab, exponent of 1.

5.) 14h and -3h -> algebraic variable of h, exponent of 1.

For example, the pair in item 3 is of terms that are not like terms, as they have different algebraic variables, f and 1.

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Need to ensure there is enough, but not too much, data One review identified that samples of 20 and 30 were the most common with 25-30 being a typical recommendation.

Sampling means selecting the group that you will actually collect data from in your research.

Characteristics of Qualitative research and sample size:

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The difference between the 51st term of A and the 51st term of B is 1000.

the nth term of an arithmetic series is given by [tex]a_{n} = a_{0} (n-1)*d[/tex]

where [tex]a_{0}[/tex] is the first term of the arithmetic series, [tex]a_{n}[/tex] is the nth term of the series and d is the common difference

Given that, [tex]a_{0}=b_{0}=30[/tex]

Given that both series have common differences and have an absolute value of 10.

common difference of series a is 10 as this series is increasing

similarly common difference of series b is -10 as it is decreasing

putting the values in the above equation we get:

[tex]a_{n} = a_{0} (n-1)*d[/tex]

=> 30 + (51-1)*10

=> 30 + 500

=> 530

so. 51st term of A is 530.

Then, the 51st term of B = 30 + (51-1)*-10 => 30 -500 = -470

Hence the difference between the 51st term of A and B = 530-(-470)= 1000

Therefore, The difference between the 51st term of A and the 51st term of B is 1000.

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Answer:

130 fr

Step-by-step explanation:

Distance (d) from home plate to second base:

d² = 90² + 90² = 16200

d = [tex]\sqrt{16200}[/tex] = 127.28 ≅ 127

Now add the 3 ft behind home plate:

127 + 3 = 130 ft

In case of a 2.5% increase in your pay which is now $25,000, your new salary will be $25,625.

First, you need to determine the percent increase i.e.2.5% of 25,000 (old salary),

            2.5%      x     25,000     =     ?

           2.5/100   x    25,000     =  625

So, the $625 would be the increased amount in your salary which is equal to 2.5% of your old salary (i.e. 25,000).

In order to find out the amount of your new salary that you will be receiving, you have to add the increased amount to the amount of your old salary, as follows:

amount of the new salary =  amount of the old salary + percent increase

                                       =     $25,000 +   $625

                                       =       $ 25,625

When an increase of 2.5% is made in your salary which is now $25,000, then your new salary becomes $25,625.

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The solution to the system is: (-4, -3).

To solve a system of equations by graphing, you will need to:

Given the system of equations:

A. y = x + 1

B. y = -¾x - 6

Equation A is the red line on the image below while B is represented as the blue line. Both intersect each other at (-4, -3).

Therefore, the solution is; (-4, -3).

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Using the concept of angle in a straight line and the vertically opposite angles, The answer is x= [tex]7^o[/tex] and z =[tex]105^o[/tex].

An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.

Vertically opposite angles are a pair of angles that are opposite each other and have the same vertex, with the rays of the angles extending in opposite directions. They are formed when two lines intersect at a right angle. For example, in the letter "L" shape, the angles in the corner of the "L" shape are vertically opposite angles. They are congruent angles and supplementary angles, meaning they add up to 180 degrees.

An angle in a straight line is when two lines are in the same straight line and forms an angle of 180 degree. It is also called a straight angle. A straight angle is formed when a line is bent so that its two endpoints are in the same location, creating an angle of 180 degrees. The rays of the angle are in the opposite direction, hence it is also known as straight angle.

75 = 8x+19 (Vertically opposite angles)

75-19 = 8x

x=56/8 = [tex]7^o[/tex].

75+z =180 (Angle in a straight line)

z=180-75 = [tex]105^o[/tex].

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Answer:

∛3 - 1 which is 0.44 to the nearest hundredth.

Step-by-step explanation:

−3(x + 1)³ + 9 = 0

(x + 1)³ = -9/-3

(x + 1)³ = 3

x + 1 = ∛3

x = ∛3 - 1

  = 0.44225

The cube root of 3 is positive, no negative real roots are possible.

The terms related to the definition are given below.

Polynomials are expressions of the form,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ

where a's are the coefficients, x is the variable and n is the number of terms.

1. A term or a sum or difference of terms is AB) Polynomial

2. A polynomial that contains one term is E) Monomial

3. The number factor of a term that contains a variable is B) Coefficient

4. A polynomial written in descending order is D) Descending order.

5. A number, a variable or a product of numbers and variables is AD) Term.

6. A polynomial that contains two terms added or subtracted is A) Binomial.

7. A term that contains a number only is C) Constant

8. A polynomial that contains three terms added or subtracted is AE) Trinomial.

9. The arrangement of the terms of a polynomial in one variable in decreasing powers of the variable is AC) Standard form of a polynomial.

10. A symbol, usually a letter of the alphabet, that can be used to represent any number is BC) Variable.

Hence the terms related to the definitions are matched.

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Answer:

63.819

Step-by-step explanation:

1.3% = 1.3/100 = 0.013

Then;

63 + 63*0.013 = 63 + 0.819

= 63.819

The value of the unknown value n after simplifying the given equation

4n - 9 = -9 is Zero.

Simplifying the algebraic equation given, 4n - 9 = -9

    Reorder the terms:

               -9 + 4n = -9

Add '9' to each side of the equation i.e on both the sides :

             -9 + 9 + 4n = -9 + 9

Combine like terms:  -9 + 9 = 0 ( on left side )

               0 + 4n = -9 + 9

                     4n = -9 + 9

Combine like terms:  -9 + 9 = 0 (on right side )

                        4n = 0

Solving

        4n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '4'.

Simplifying

          n = 0      

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Answer:

Step-by-step explanation:

(5/6)(5/6) (-5/6)(5/6)

(5/6)(-5/6) (-5/6)(-5/6)  they  are they same but  you can also change them  and they will  still be the  same just backwords

Hope that helps

Answer:

3,000ft

Step-by-step explanation:

First set up the equation:

Start: 13,000 ft
Middle: 10,000 ft
End: ??

Lindsey started at 13,000ft, dropped 10,000ft, and then the remainder of it is what we are asked to find out. So all we have to do is 13,000 - 10,000 which equals 3,000.

Answer: ( 1, -2)

Step-by-step explanation: first number the equation as 1 and 2.

After that multiply 4 in equation 2 , then add both the equation

you will get x=1, y=-2,

answer = (1,-2)

Answer:

y = -x + 4

Step-by-step explanation:

y = mx + b  

You need the slope (m) and the y-intercept (b)

Slope

Change in y over the change in x

(1,3) (7,-3)

The y values are -3 and 3.  You find  the change by subtraction

-3 - 3 = -6

(1,3)(7, -3)

The x values are 7 and 1.  You find the change by subtraction

7 - 1 = 6

You make a fraction by the change in y in the numerator and the change in x in the denominator.

[tex]\frac{-6}{6}[/tex]   = -1

The slope is -1

y-intercept

Use the slope you just found -1 and one of the points given.  I am going to use (1,3), but either point will work.

y = 3  From the point given (1,3)

x = 1   From the point given (1,3)

m = -1

Substitute these all in and solve for b

y = mx + b

3 = (-1)(1)+ b      

3 = -1 + b    Add 1 to both sides

3 + 1 = -1 + 1 + b

4 = b

The y-intercept is 4.

y =mx + b

y = -x + 4

Answer:

4.  All of the above are equivalent statements.

Step-by-step explanation:

The x-intercept is the point at which a line crosses the x-axis.

The roots of a function are the x-values of the x-intercepts.

Therefore, if (-3, 0) is an x-intercept, then -3 is a root.

The zeros of the function are the x-values when y = 0.

(-3, 0) means x = -3 when y = 0.

Therefore, -3 is a zero.

According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Given (-3, 0), then f(-3) = 0.  Therefore, (x - (-3)) = (x + 3) is a factor.

Therefore, all given statements are equivalent statements.