The weight in pounds of a baby in the first six months of life can be modeled by the
function w = 1.5m +7, where x is the age of the baby in months. According to this model,
what is the weight, in pounds, of a baby at 5 months of age? Numerical answer only.

Answer: Choice D.  sqrt(30)

sqrt is shorthand for "square root"

======================================================

Explanation:

We'll use the intersecting chords theorem here

We multiply the pieces of each chord together and set the products equal to one another to help solve for x

TW*WU = CW*WV

x*2x = 6*10

2x^2 = 60

x^2 = 60/2

x^2 = 30

x = sqrt(30)

The value of x is √30. The correct option is D.

The measure of the angle created when two chords collide inside a circle is one-half the sum of the arcs intercepted by the angle and its vertical angle.

Use the intersecting chords theorem here. Multiply the pieces of each chord together and set the products equal to one another to help solve for x

TW*WU = CW*WV

x*2x = 6*10

2x² = 60

x² = 60/2

x² = 30

x = √(30)

Therefore, the value of x is √30. The correct option is D.

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Answer:

Subtract 9 from each side of the equation.

m = – 11

Step-by-step explanation:

m + 9 = – 2

To solve the above equation, we simply subtract 9 from each side of the equation.

This is illustrated below:

m + 9 = – 2

Subtract 9 from each side of the equation

m + 9 – 9 = – 2 – 9

m + 0 = – 11

m = – 11

Therefore, the value of m is – 11

Answer:

x² + 5x + 4

Step-by-step explanation:

(x + 1) (x + 4)

apply the FOIL method

xx + (x * 4) + (1 * x) + (1 * 4)

xx + 4x + (1 * x) + (1 * 4)  

xx + 4x + 1x + 4

x² + 5x + 4

Answer:

28

Step-by-step explanation:

When x is equal to 4, j(x) = 28.

Answer:

The correct option is;

AC and CD have the same length

Step-by-step explanation:

Given that the circle with center C, we have;

The length of AC extending from C to A being from the center to the circumference is the radial length of the smaller circle of center C.

Similarly, the length of the segment that extends from the center of the circle with center C to the circumference of the circle is the also the radial length of the smaller circle of center C.

Whereby the radial length of a circle is constant, then two radial lengths of the same circle are congruent and and circle radius AC is congruent to radius CD, which gives;

Length of AC = Length of CD or AC and CD have the same length.

Answer: u didnt give us the full problem

Step-by-step explanation:

Answer:

-76

Step-by-step explanation:

[tex]f(x) = - 3 {x}^{2} - 4x + 8 \\ f( - 6) = - 3 {( - 6)}^{2} - 4( - 6) + 8 \\ f( - 6) = - 3 {( 36)} + 24+ 8\\ f( - 6) = - 108 + 32\\ f( - 6) = - 76[/tex]

Answer:

-3 × 2- 4x + 8 = -3 × 2 + -4 × -6 + 8 = -6 + 24 + 8 = 10

Answer:

see below

Step-by-step explanation:

d = t^2

t =0

 d = 0^2 = 0

t =3

 d = 3^2 = 9

t =5

 d = 5^2 = 25

Answer:

Step-by-step explanation:

If you are using

t =0

d = 0

t =3

d = 3^2 = 9

t =5

d = 5^2 = 25

Answer:

the answer is1

Step-by-step explanation:

ok its actually simple

you add the 1 by moving it to the left of the 0 to get

1+0=r

you do the problem to get

1=r

so the answer is

1

Answer:

[tex]\huge \boxed{r=1}[/tex]

Step-by-step explanation:

[tex]0=r-1[/tex]

Adding 1 to both sides.

[tex]0+1=r-1+1[/tex]

[tex]1=r[/tex]

Answer:

A

Step-by-step explanation:

The inverse of the statement "if a, then b" will always be "if b, then a". In this case, a = I do my homework and b = it will snow so the inverse is if it snows, then I will do my homework.

Answer:

x=3

Step-by-step explanation:

using the pythagorean theorem, c^2=a^2+b^2

5^2=x^2+4^2, x=3

Answer:Three is the right answer I just finished

Step-by-step explanation:

Answer:

[tex]102^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]\angle 5[/tex] is a supplement of [tex]\angle 6[/tex].

m[tex]\angle 5[/tex] = 78°

To find:

m[tex]\angle 6[/tex] = ?

Solution:

First of all, let us learn about the concept of an angle being a supplement of the other angle.

[tex]\angle B[/tex] is known as supplement of [tex]\angle A[/tex], if sum of the two angles is equal to 180°.

[tex]i.e. \angle A +\angle B=180^\circ[/tex].

For example, angle made on one side by a line intersecting the other line are supplement of each other.

Here, we are given that [tex]\angle 5[/tex] is a supplement of [tex]\angle 6[/tex].

In other words:

[tex]\angle 5+\angle 6=180^\circ[/tex]

Putting value of [tex]\angle 5[/tex]:

[tex]\Rightarrow 78^\circ+\angle 6=180^\circ\\\Rightarrow \angle 6 =180^\circ-78^\circ\\\Rightarrow \bold{\angle 6 =102^\circ\\}[/tex]

So, the answer is: [tex]102^\circ[/tex]

Answer:

1.) y = 4x - 3

2.) y = -3x + 2

Step-by-step explanation:

I'm not really sure how to explain it super well, but I do know the answers

Step-by-step explanation:

3x2 -5x+1=0

Quadratic eq ax2 +bx+c=0

Discriminant=b2 -4ac

=(-5)2 -4*3*1

=25-12

=13>0 so 2 solutions.

Answer: A

Step-by-step explanation:

7[tex]\pi[/tex]   pi is an irrational number and  multiply it by 7 which is an rational number makes it irrational.

Answer:In this question , the area of square frame is given which is 30 square inches .

And we have to find the length of the square frame .

Here we use the area of square, which is

Substituting the value of given area and solving for length, we will get

TO get rid of square , we have to take square root to both sides.

THerefore the length of the square frame is approximately 5.48 inches .

Step-by-step explanation:

Answer:

2x-y=3

Step-by-step explanation:

Answer:

The formula to find the voltage is:

[tex]v=\sqrt{P*R}[/tex]

And the voltage is 4 volts

Step-by-step explanation:

To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?

First, multiply both sides with R:

[tex]P*R=\frac{v^{2} }{R} *R[/tex]

That would result into removing the divisor R from the right side of the equation:

[tex]P*R=v^{2}[/tex]

Next, square-root both sides:

[tex]\sqrt{P*R} =\sqrt{v^{2} }[/tex]

That would result in removing the square of v from the right side of the equation:

[tex]\sqrt{P*R} =v[/tex]

Thus we get the equation, [tex]v=\sqrt{P*R}[/tex].

To find out the voltage, simply replace R with 32 and P with 0.5

[tex]v=\sqrt{0.5*32}[/tex]

[tex]r=\sqrt{16}[/tex]

[tex]r=4[/tex]

Thus, the voltage is 4 volts.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following instructions :

It can be deduced from part a that the final result will be twice the original number 'n'

The number 'n' multiplied by 4 = (4 * n) = 4n

10 added to 4n = 4n + 10

The result of the sum divide by 2 = (4n + 10) / 2

= 2n + 5

5 subtracted from the result of the quotient obtained : 2n +5 - 5 = 2n

Where n is the original number.

2n = twice the original number.

1. The first option is represented by a linear function, ∴ y = 50x + 150. The y intercept here is 150, as the first week is 200 dollars, not the 0th week. 200 - 50 = 150.

Given the domain here is 1 - 6 (6 weeks) we can plug in x as 1,2,3 etc and solve for y, completing the table.

Option A :

Week | 1 | 2 | 3 | 4 | 5 | 6 |

Amount Paid | 200 | 250 | 300 | 350 | 400 | 450 |

And for option b we have an exponential function. 1 + 10% = 1 + 0.1 = 1.1. Therefore we have the function ∴ y = 200( 1.1 )^x-1 that models this situation.  Remember that we have " x - 1 " as the exponent rather than x, as the first week begins with 200 dollars, not the 0th week.

That gives us the following table,

Option B :

Week | 1 | 2 | 3 | 4 | 5 | 6 |

Amount Paid | 200 | 220 | 242 | 266.2 | 292.82 | 322.102 |

2. (a) We already calculated the " iterative rules " for each sequence in the first part. For your explanation on that behalf, just include the explanation above. Rule of Option A : y = 50x + 150. Rule of Option B : [tex]y = 200( 1.1 )^{x-1}[/tex].

(b) Let's take an example week and substitute into our equations to help clarify our friend's doubt. Say week 2...

y = 50(2) + 150 = 100 + 150 = 250 ✓

y = 200( 1.1 )^2-1 = 200( 1.1 )^1 = 200( 1.1 ) = 220 ✓

3. (a) A function is an equation that represents the relation between x and y, which is exactly the purpose of the rules y = 50x + 150, and y = 200( 1.1 )^x-1.

(b) I disagree with my friend. These particular examples do have y - intercepts, but just because a rule is a function, doesn't make it have a y - intercept. There are some exceptions, such as y = 1 / x.

(c) An input such as 18.5 is meaningless, as x represents the weeks. An employer doesn't provide the payments at half weeks.

4. Let's substitute 20 as x,

y = 50 * 20 + 150 = 1,000 + 150 = $1,150

y = 200( 1.1 )^x-1 = 200( 1.1 )^20-1 = 200( 1.1 )^19 = $1,223.1818

The first payment option will provide the greatest total income.

Answer:

897.23

Step-by-step explanation:

The decimal places start at the tenths:

00.tenths, hundredths, thousandths

So you would need to end up with only two numbers after the decimal.

To round, if a number is 4 or less, leave the next number as it is.

Ex: 2.32 → 2.3                    Rounding to the tenths

     78.614 → 78.6               Rounding to the tenths

If the number is 5 or higher, round up one number

EX: 37.76 → 37.8                Rounding to the tenths

      6.389 → 6.4                 Rounding to the tenths

Our number, 897.234, needs to be rounded to the hundredths place, so use the number to its right to determine the rounded value. The number 4 means that the hundredths place will remain the same, so the new value is:

897.23

:Done

Answer:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

Step-by-step explanation:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

Answer: The sum of twelve times a number m and 3.4 is equal to 9.

Step-by-step explanation:

The givens are an algebraic expression 12m + 3.4 = 9. We need to put this in words.

So here is how we do it:

The sum of twelve times a number m and 3.4 is equal to 9.

OR you can say:

9 is equal to the sum of a number m twelve times and 3.4.

Answer:

A 53.68

Step-by-step explanation:

tan54° = BC/39

BC = tan 54° x 39

BC = 53.68

Answer:

A. 53.68

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

7 * 2 = 14

11 * 2 = 22

14 + 22 = 36

Answer: 36

Step-by-step explanation: Perimeter is the outside of a shape, so you double each number and add them since a parallelogram has 4 sides. 11+11=22. 7+7=14. 14+22=36

Answer:

22. first multiply two with the digits and signs then add

So using order of operations (parentheses, exponents, multiplication & division, addition & subtraction), you have to do 4+7 inside the parentheses first, then multiply that by 2.

4+7=11

11×2=22

2(4+7)=22

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:Solving for 5 + x - 12 = 2x - 7

Standard form:

−x = 0

Factorization:

−x = 0

Solutions:

x = 0

The solution is x = 0

The value of x in the equation  5 + x -12 = 2x - 7 is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

5 + x -12 = 2x - 7   be equation (1)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

5 - 12 = x - 7

Adding 7 on both sides of the equation , we get

x = 5 - 12 + 7

On simplifying the equation , we get

The value of x = - 7 + 7

The value of x = 0

Therefore , the value of x = 0

Hence , the value x of the equation is x = 0

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Answer:

-16

Step-by-step explanation:

x+6=x/2-2

solve the equation, x=-16

check:

-16+6=-10

-16/2=-8

-10-(-8)=-2

If the sum of a number and six is two less than half the same number then the number is -16.

Given,

The sum of a number and six is two less than half the same number

We will find the unknown number.

We have,

The sum of a number and six is two less than half the same number.

Let the unknown number be M.

Let us separate the given statement into parts:

- Sum of a number and six

This can be written as M + 6.

- is means equal sign "=".

- Two less than half the same number.

This can be written as (1/2)M - 2.

Now,

We can write as:

M + 6 = (1/2)M - 2

M - (1/2)M = -2 - 6

(1/2)M = -8

M = -8 x 2

M = -16

Thus the unknown number is -16.

We can also crosscheck:

M + 6 = (1/2)M - 2

-16 + 6 = (1/2)(-16) - 2

-10 = -8 -2

-10 = -10

Hence proved.

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Answer:

26-8x

Step-by-step explanation:

factor the expression

simplify the expression

Answer:

$157.50

Step-by-step explanation:

150

+7.50

______

157.50