4(x + 4) = 4x + 16
One Solution No solutions or infinite number of solutions

Answer:

The whole numbers are 0 and 79.

Step-by-step explanation:

The numbers provided are as follows:

[tex]-2\frac{5}{6},\ -54,\ -4,\ -57,\ -89,\ 79,\ \frac{6}{9},\ \\\\-19\frac{2}{3},\ \frac{2}{4},\ 0,\ \frac{2}{7},\ -3,\ -2, -7,\ -8,\ \\\\\frac{1}{8},\ -\frac{4}{8},\ 1\frac{3}{8},\ -\frac{7}{8}[/tex]

Whole numbers are a set of natural positive numbers and 0. This set basically consists of counting discrete numbers.

Such as: 0, 1, 2, 3, 4, 5....

From the provided set of numbers the whole numbers are:

S = {79 and 0}

Thus, the whole numbers are 0 and 79.

Answer:

it's B and C

Step-by-step explanation:

Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1

Answer:

_ is equal to 28

Step-by-step explanation:

numerator is multiplied by 4, therefore, due to the equal sign, the denominator must also by multiplied by 4

hope you understand...............................................................................

Answer:

suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.

Step-by-step explanation:

Answer:

Postulate means a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.  It means that something may be true.

Step-by-step explanation:

Can't really explain a definition :v

Answer:

addition

Step-by-step explanation:

as x=23+5

x=28.

I think so this is the ans.

Answer:

Curved surface area of a cone =πrl.

3.142×8×15=377.04cm

Answer:

descriptive statistics

Step-by-step explanation:

The statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.

The following information regarding descriptive statistics is:

Therefore we can conclude that the statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.

Learn more about the statistics here: brainly.com/question/22826675

Answer:

10 (3 x - 1)

Step-by-step explanation:

Answer:

B. 86

Step-by-step explanation:

Arc degrees corresponds with their angle degree.

Step 1: Find m∠Z using Definition of Supplementary Angles

m∠Z = 180° - 94°

m∠Z = 86°

Step 2: Find measure of arc degree z

m∠Z = 86°

Arc degree = angle degree

Arc Z = 86°

The answer is "Option B" its calculation can be defined as follows:

An arc of a circle would be any section of the circle's circumference.

Remember that the area of a circle equals the distance from around the circle.

Finding the measure of arc degree z

As a result, you can say that the circumference of a circle is indeed the circle's complete arc.

Angle degrees and arc degrees are connected.

Find [tex]m\angle Z[/tex] by applying the Definition of Supplementary Angles:

         [tex]m\angle Z = 180^{\circ} - 94^{\circ}\\\\m \angle Z = 86^{\circ}\\\\[/tex]

           [tex]m\angle Z = 86^{\circ}\\\\[/tex]

            [tex]\therefore\\\\[/tex]

       Arc degree = angle degree

         [tex]Arc\ Z = 86^{\circ}[/tex]

Therefore, the "Option B" is the correct answer.

Learn more:

brainly.in/question/37245796

Answer:

1/8.

Step-by-step explanation:

Prob(selecting a club) = 13/52 = 1/4.

Prob(tail) = 1/2

Required probability = 1/4 * 1/2

= 1/8.

Answer:

None of the options are true.

Step-by-step explanation:

We are given with the following parts;

A. 100 x 1,000 = 107

B. 10 x 1,000 = 105

C. 0.01 x 103 = 100

D. 0.001 x 105 = 100

The first statement that 100 x 1,000 = 107  is false because the multiplication of the numbers 100 and 1,000 gives the result of 100,000 but in question; it is written as 107, So, this is false.

The second statement that 10 x 1,000 = 105  is false because the multiplication of the numbers 10 and 1,000 gives the result of 10,000 but in question; it is written as 105, So, this is false.

The third statement that 0.01 x 103 = 100  is false because the multiplication of the numbers 0.01 and 103 gives the result of 1.03 but in question; it is written as 100, So, this is false.

The fourth statement that 0.001 x 105 = 100  is false because the multiplication of the numbers 0.001 and 105 gives the result of 0.105 but in question; it is written as 100, So, this is false.

Hence, all the statements are false.

Answer:

C

Step-by-step explanation:

trust me

One plane can be drawn so it contains all three points. Then the correct option is C.

Non-collinear points are multiple or more points that cannot all lie on a single straight line. The points are considered non-collinear if any one of them is not situated on the same line as the other ones.

Let n be the number of non-collinear points. Then the number of lines that can be made will be

Number of lines = ⁿC₂

And the number of planes that can be made will be

Number of planes = ⁿC₃

If there are 3 non-collinear points, then the number of lines will be

Number of lines = ³C₂

Number of lines = 3

Then the number of planes will be

Number of plane = ³C₃ = 1

One plane can be drawn so it contains all three points. Then the correct option is C.

More about the non-collinear points link is given below.

https://brainly.com/question/24250339

#SPJ2

Answer:

B

Step-by-step explanation:

Given

(4x + 3)(3x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis

= 12x² - 16x + 9x - 12 ← collect like terms

= 12x² - 7x - 12

The coefficient of the x- term is - 7 → B

Answer:

550 to 5.5

Step-by-step explanation:

Answer:

Nancy spent $19 on each book. Hope I helped you.

Answer:

0.25g

Step-by-step explanation:

To convert contigrams to grams, you divide the centigram mass value by 100

25/100

= 0.25g

Answer:

$305.00

Step-by-step explanation:

Use the formula I = prt, where I is the interest money created, p is the starting amount of money, r is the interest rate as a decimal, and t is time.

I = prt

I = 250(0.11)(2)

I = 55

Add 55 to the amount he borrowed:

250 + 55

= $305.00

Answer:

[tex]\huge \boxed{\mathrm{\$ \ 305.00}}[/tex]

Step-by-step explanation:

We can use the simple interest formula to calculate for the interest.

[tex]I=P \cdot r \cdot t \\ \\ \\ \sf I = interest \\ \\ P=principal \ amount \\ \\ r=rate \ (\%) \\ \\ t=time \ (years)[/tex]

Calculating the interest over the two years:

[tex]I=250 \cdot 11\% \cdot 2 \\\\ I=250 \cdot 0.11 \cdot 2 \\\\ I=55[/tex]

Adding the interest to the principal amount:

[tex]\Rightarrow 250+55 \\ \\ \Rightarrow 305[/tex]

Jess will owe the bank $305.00 at the end of the 2 years.

Answer:

[tex]a^{-4}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

Thus

[tex]\frac{1}{a^{4} }[/tex] = [tex]a^{-4}[/tex]

Answer: No, because the sample was not random.

Step-by-step explanation:

For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.

Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.

Answer:

No, because the sample was not random.

Step-by-step explanation:

Answer:

-100 F

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

The CORRECT answer is 2.

(I feel like that's obvious) :/

Answer:

D. 50

Step-by-step explanation:

a = 90° (angle subtended in semicircle)

a + c + 40° = 180° (by angle sum postulate of a triangle)

90° + c + 40° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

The measure of angle c will be 50 degrees. so option D is correct.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Consider an arc of a circle.

Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends 2θ angle on the center of that circle.

a = 90° (angle subtended in semicircle)

a + c + 40° = 180° (by angle sum postulate of a triangle)

90° + c + 40° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

Therefore, the measure of angle c will be 50 degrees. so option D is correct.

Learn more about the triangles;

https://brainly.com/question/2773823

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Answer:

[tex](x+3)(x-8)=0[/tex]

Step-by-step explanation:

First, write out the equation as it is given in the problem:

[tex]x^{2}-5x-24=0[/tex]

Now, you have to split up the "-5x" to get to factored form.  The way to do this is to look for the factors of "a" times "c" that sum to "b":

So, in this problem, a=1, b=-5, and c=-24.  So, find the factors of (1*-24) that sum to (-5). To clarify, (1*-24)=-24, so you have to find factorsof -24 that sum to -5.

Let's write out a list of factors.

[tex]1,-24---1+-24=-23no\\-1,24---1+24=23no\\2,-12---2+-12=-10no\\-2,12----2+12=10no\\3,-8---3+-8=-5yes[/tex]

Therefore, our two factors will be 3x and -8x.

Now, let's rewrite our equation with these new factors in place of the -5x:

[tex]x^{2}-5x-24=0\\x^{2}+3x-8x-24=0[/tex]

Next, find your factored expressions:

[tex]x^{2}+3x-8x-24=0\\(x^{2}+3x)(-8x-24)=0\\[/tex]

Take the GCF from each set of parenthesis:

[tex]x(x+3)-8(x+3)=0[/tex]

The GCFs that you took out will become your second in the set for factorde form.  It will be written as "x-8".

Therefore, your equation in factored form will be:

[tex](x+3)(x-8)=0[/tex]

Answer:

Hey there!

The slope of f(x) is less than the slope of g(x).

For g(x) the slope is -5 and for f(x) it is -2.

Let me know if this helps :)

Answer to the first question: no, the sum is not always a monomial

Consider adding 2x and 5y. Both of which are monomials. Their sum is 2x+5y. We don't have like terms, so we can't combine them. The sum is a binomial as it has 2 terms.

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

Answer to the second question: yes, their product is alway a monomial

Going back to 2x and 5y. Multiply those two monomials and we get 10xy as a product. This is a monomial as it is one term. If p and q are monomials, then so is pq.

Answer:

it either can be 3:6 or 6:3 but I think its 3:6

Answer:

1 : 3.

Step-by-step explanation:

The total number of shapes is 3 + 6 = 9.

So triangles : total shapes = 13 : 9

= 1 : 3.

We have,

To FinD:

⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.

.................Similarly,

We have, Length of Gap = 180 cm

➝ Total length of gaps = 180 cm × 21 = 3780 cm

Converting into m,

➝ 100 cm = 1 m

➝ 3780 cm = 3780 / 100 m

➝ 3780 cm = 37.80 m

⚘ Length of line:-

━━━━━━━━━━━━━━━━━━━━

Answer:

3a + 2

Step-by-step explanation:

(3a + b)·(3ab) = (9a²b+6ab)

not sure why there is a question mark in the expression?

Answer:

a) (4,-1)

b) (4,1)

c). (6,4)