the average adult human has approximately 2.5 x 10 ^ 13 red blood cells + 7 x 10 ^ 9 white blood cells about how many times as great is the number of red blood cells than the number of white blood cells

To determine the value of ↑ which the equation ax²-3x-5=0 has 1 as a root, we substitute x=1 into the equation and solve for a, yielding the result that a=8.

To find the value of a for which the equation ax² - 3x-5=0 has 1 as one of its roots, we can substitute x=1 into the equation and solve for a. When x=1, the equation simplifies to:

a(1)² - 3(1) - 5 = 0

a - 3 - 5 = 0

a - 8 = 0

Therefore, a = 8.

This means that the value of a is 8 for the equation to have 1 as one of its roots. This is a direct application of the fact that if a polynomial has a certain number as a root, then by substituting that number in place of the variable, the equation should result in zero.

To find y'' by implicit differentiation, differentiate the equation 5x^2 + y^2 = 3 twice with respect to x. Simplify and isolate y'' to find the second derivative of y.

To find y'' by implicit differentiation, we differentiate the equation 5x^2 + y^2 = 3 with respect to x twice.

Step 1: Differentiate both sides of the equation with respect to x using the chain rule.

Step 2: Simplify the equation and isolate y'' to find the second derivative of y.

Step 3: Rewrite the equation with the second derivative of y isolated on one side.

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The number of stamps each could have purchased is 84

How to determine the number of stamps each purchased

From the question, we have the following parameters that can be used in our computation:

Andy = packs of 4

Erin = packs of 6

Jarred = packs of 7

Expand 4, 6 and 7

So, we have

4 = 2 * 2

6 = 2 * 3

7 = 7

The LCM of 4, 6 and 7 is then calculated as

LCM = 2 * 2 * 3 * 7

Evaluate

LCM = 84

Hence, the number of stamps each could have purchased is 84

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The correct option is B.

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

The given statement "If all terms of a series are​ positive, then the series sums to a positive number" is true because the series will converge to a positive number because the series contains no negative terms.

Hence, the correct option is B.

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The perimeter of a rectangle is 35.

So the function that represents the length of the flower bed in terms of its width is:

l(w) = (35 - 2w) / 2.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

To write a function that represents the length of the flower bed in terms of its width, we can use the equation for the perimeter of a rectangle:

2l + 2w = p

where l is the length, w is the width, and p is the perimeter. We know that the perimeter is 35 feet, so we can substitute that into the equation:

2l + 2w = 35

We want to solve this equation for l, so we can isolate the variable on one side of the equation:

2l = 35 - 2w

Dividing both sides by 2 gives:

l = (35 - 2w) / 2

So the function that represents the length of the flower bed in terms of its width is:

l(w) = (35 - 2w) / 2

where l(w) is the length of the flower bed for a given width w.

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The 22nd term of the arithmetic progression in the series 161, 147, 133, 119.... is -133.

This question involves finding the 22nd term in a series of numbers where each term is 14 less than the preceding term. This is an arithmetic progression where the first term, 'a' is 161 and the common difference, 'd' is -14.

The formula for the nth term in an arithmetic progression is: a + (n - 1)*d.

Substituting the given values into the formula, we get:

'a' + (22 - 1)*'d' = 161 + (21)*(-14) = 161 - 294 = -133

So, S22 for 161+147+133+119+... = -133.

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Answer with explanation:

→→Information given about Parabola

Vertex of the Parabola = (0,0)

Focus is located on the positive x- axis.

Definition of Parabola: A parabola is locus of all the points such that distance from a fixed point known as focus to distance from a fixed line called, Directrix  is always constant.

Let focus of the parabola be (k,0), where , k>0.

Distance between vertex (0,0) and focus(k,0) = Distance between vertex (0,0) and point on negative x-axis (-k,0).

Directrix will pass through point (-k,0).

So, equation of Directrix will be, x= -k

Directrix will pass through

Option B: The Negative part of the x -axis.

Answer:

the answer is 9 hours

Step-by-step explanation:

I got it right on the test

The time taken by Jan and Jo with constant rate of 70 mph and 60 mph respectively, will meet in 9 hours while driving towards each other along a 1,170-mile road.

To find out how long it will take Jan and Jo to meet, you can use the formula:

Time = Distance / Speed

Since they are driving toward each other, their combined speed is the sum of their individual speeds:

Combined Speed = Jan's Speed + Jo's Speed

Combined Speed = 70 mph + 60 mph

Combined Speed = 130 mph

Now, you can use this combined speed to calculate the time it will take for them to meet:

Time = Distance / Combined Speed

Time = 1,170 miles / 130 mph

Time = 9 hours

Therefore, time taken by Jan and Jo is 9 hours to meet while driving toward each other on the same road.

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Answer: The damaged area is equal to 8831.25ft^2

Step-by-step explanation:

We know that we have a circular area, where half of the grass has died. We know that the circular picnic is "150 feet across" I guess this means that if you walk in a straight line from the edge of the circular area, through the middle, and to the next edge, the distance is 150ft.

This would mean that the diameter is equal to 150ft.

With this we can calculate the total area of the circle; this is:

A = pi*r^2

where r is the radius, that is half the diameter, so we have r = 150ft/2 = 75ft

and pi = 3.14

so we have:

A = 3.14*(75ft^)^2 = 17662.5ft^2

And we know that half of that area has the grass damaged, so the amount of square feet of grass needed is equal to A/2 = (17662.5ft^2)/2 = 8831.25ft^2

Final answer:

No, not every even number can be written as a sum of two primes. This is known as the Goldbach Conjecture, which states that every even number greater than 2 can be expressed as the sum of two prime numbers.

Explanation:

No, not every even number can be written as a sum of two primes. This is known as the Goldbach Conjecture, which states that every even number greater than 2 can be expressed as the sum of two prime numbers. So far, this conjecture has been tested for even numbers up to at least 4, and no counterexamples have been found. However, it has not been proven to be true for all even numbers.

For example, the number 4 can be expressed as the sum of two primes (2 + 2), but the number 6 cannot be expressed as the sum of two primes. On the other hand, the number 8 can be expressed as the sum of two primes (3 + 5). This pattern continues, with some even numbers being expressible as the sum of two primes and others not.

Answer with Step-by-step explanation:

Let

A:selecting a heart

Total cards=52

number of hearts=13

P(A)=13/52

B:selecting a 8

number of 8=4

P(B)=4/52

A∩B:selecting a heart with 8 on it

number of hearts with 8 on it=1

P(A∩B)=1/52

A∪B:selecting a heart or a 8

We have to find P(A∪B)

P(A∪B)=P(A)+P(B)-P(A∩B)

          = [tex]\dfrac{13}{52}+\dfrac{4}{52}-\dfrac{1}{52}[/tex]

          =[tex]\dfrac{13+4-1}{52}[/tex]

          = 16/52

          = 4/13

Hence, the probability of selecting a heart or a 8 is:

4/13

Answer: The answer in order are false, false, true, true, false and (3,1)

Step-by-step explanation:

We know that image of a point (x,y) under the y-axis

is (-x,y) i.e. the sign of x coordinate changes

Similarly in case of x-axis sign of y coordinate changes

i.e (x,y) is reflected to (x,-y)

Also the reflection of (x,y) under the line y=x is (y,x)

and the reflection of (x,y) under the line y=-x is(-y,-x)

So  

a) Given image of (-3,-5) under x-axis is (3,-5).

Hence statement is false

b) Given image of (1,9) under y-axis is (1,-9)

Hence the statement is false

c) Given image of (8,7) under y=-x is (-7,-8)

i.e. the statement is true

d) Given image of (-6,-6) under y=x is (-6,-6)

i.e the statement is true

e) Given image of (2,4) under y axis followed by x-axis is (-2,-2)

Hence the statement is false

f) (3,-1) is reflected in x-axis to (3,1)

Hence the point k is (3,1)

Answer:

a

b

e

g

Step-by-step explanation:

I just did the assignment lol-