Simplify: 4x + 6(3x - 2)

Answer:

[tex]6.31*10^{-4} \\8.1*10^{9}[/tex]

Step-by-step explanation:

0.00065 - 0.000019 = 0.000631

Move back 4 decimal places.

5300000000 + 2800000000 = 8100000000

Move forward 9 decimal places.

Hope this helps! If you need help on converting them back to scientific notation or getting the value of the exponent, just ask!

Final answer:

To find the sum or difference, adjust the scientific notations to have the same exponent, perform the operation, and keep the result in scientific notation. (6.5×10⁻⁴) − (1.9×10⁻⁵) equals 6.31×10⁻⁴ and (5.3×10⁹) + (2.8×10⁹) equals 8.1×10⁹.

Explanation:

To find the sum or difference of numbers in scientific notation, we need to make sure that the exponents are the same. If they're not, we adjust one of the numbers by changing its exponent and mantissa accordingly.

Solution for (6.5×10⁻⁴) − (1.9×10⁻⁵)

First, we adjust the second term so that it has the same exponent as the first:
(1.9×10⁻⁵) = (0.19×10⁻⁴)
Now, we subtract the mantissas while maintaining the exponent:
(6.5 - 0.19)×10⁻⁴ = 6.31×10⁻⁴.

Solution for (5.3×10⁹) + (2.8×10⁹)

Since the exponents are the same, we can directly add the mantissa:
(5.3 + 2.8)×10⁹ = 8.1×10⁹.

Both answers are now in scientific notation.

Answer: cos30

Step-by-step explanation:

Cos(angle) = adjacent leg/hypotenuse

Cos(x) = 4/21

X = arccos4/21

X = 79.0194 degrees

Round the answer as needed.

We have been given that a parabola has vertex [tex](-8,-7)[/tex] and also passes through the point [tex](-7,-4)[/tex]. We are asked to write the equation of the parabola in vertex form.

We know that vertex form of parabola in format [tex]y=a(x-h)^2+k[/tex], where point (h,k) represents vertex of parabola.

Let us write equation of parabola using our given information as:

[tex]y=a(x-(-8))^2-7[/tex]

[tex]y=a(x+8)^2-7[/tex]

Now we will substitute the coordinates of point  [tex](-7,-4)[/tex] to solve for a as:

[tex]-4=a(-7+8)^2-7[/tex]

[tex]-4=a(1)^2-7[/tex]

[tex]-4=a-7[/tex]

[tex]-4+7=a-7+7[/tex]

[tex]3=a[/tex]

Therefore, our required equation would be [tex]y=3(x+8)^2-7[/tex] and option 'c' is the correct choice.

Answer:

its B

Step-by-step explanation:

Final answer:

A rectangular prism can be thought of as being created by stacking congruent polygons, as its faces are identical rectangles or squares. Pyramids, on the other hand, have a consistent base but their side faces are triangles that converge, not congruent polygons. A cone does not consist of stacking polygons since it has a continuous curved surface.

Explanation:

The shape that could be thought of as being created by stacking congruent polygons is the rectangular prism. When you stack identical polygons directly on top of each other, you are essentially creating the sides of a prism. Rectangular prisms are made up of congruent rectangles (or squares if it's a cube). Each face is identical, and they are stacked in a way that the height of the prism adds dimensionality but does not change the consistency of each face being a congruent polygon.

In contrast, when you consider shapes like pyramids, they do not have congruent faces all around. For example, a square pyramid has a square base, but the side faces are triangles that converge at a point. Similarly, a triangular pyramid (also known as a tetrahedron) also does not have congruent faces all around since it consists of equilateral triangles that meet at a point. The cone is a special case where the base is a circle (an infinite number of infinitesimally small sides), and the surface is a continuously curved shape, so it does not consist of stacking congruent polygons.

1)

[tex] - 3x + 32 - 2x = - 2(5x + 10) \\ - 5x + 32 = - 10x - 20 \\ 5x = - 52 \\ x = - 10.4[/tex]

2)

[tex]3x + 3 = 3(x + 1) \\ 3x + 3 = 3x + 3 \\ 0x = 0[/tex]

This equation has an infinite number of solutions

The solution is infinite.

-Dhruva;)

Answer:

The air is .6m^3

Step-by-step explanation:

The volume of a cube is

V = s^3 where s is the side length

The volume of the tank is

V = 1^3 = 1 m^3

The volume of the water is 1 by 1 by .4

V = l*w*h

   = 1 *1*.4

   = .4 m^3

The difference must be filled by air

1- .4 = .6 m^3

The air is .6m^3

Answer:

0.4 m³

Step-by-step explanation:

Volume of air:

Base area × height

1 × 1 × 0.4

0.4 m³

Let x represent temperature of the ocean.

We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the  average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.

We will use tolerance formula to solve our given problems.

[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]|x-75|\leq 8.6[/tex]

Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].

Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:

[tex]-8.6\leq x-75\leq 8.6[/tex]

[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]

[tex]66.4\leq x\leq 83.6[/tex]

Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].

Answer:

Step-by-step explanation:

you add the balance then you will get the balance for u answer and if i didn't help u i'm sorry

The solutions for the given equation are the values:  -6 and 6.

The exponent of a number indicates how many times to use the number in a product. The root is the inverse of a power operation. For example:

[tex]x*x=x^2[/tex] and [tex]\sqrt{x^2}=x[/tex].  See that the square root of a number is the value of power [tex]\frac{1}{2}[/tex] .

Therefore, in this question for finding the value of q, you should apply the square root in both sides.

                                               [tex]36=q^2\\ \\ \sqrt{36} =\sqrt{q^2} \\ \\ \pm 6=q[/tex]

You can check this result applying the power 2. See:

(-6)²=(-6)*(-6)=36

(6)²= (6)*(6)=36

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Answer:

no solution

Step-by-step explanation:

x + y = 7

x + y = 6

Multiply the second equation by -1

x + y = 7

-x - y = -6

-----------------------

0x +0y = 1

0 =1

This is never true so there is no solution

Answer:

1/4

Step-by-step explanation:

Answer:

This is what I got 0.375

Step-by-step explanation:

But this is in decimal form. Sry

We have been given that in ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. We are asked to find the length of j to the nearest tenth of a centimeter.

We will use law of sines to solve for side j.

[tex]\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.

We need to find measure of angle K to apply law of sine to our given problem.

Using angle sum property, we will get:

[tex]\angle J+\angle K+\angle L=180^{\circ}[/tex]

[tex]26^{\circ}+\angle K+23^{\circ}=180^{\circ}[/tex]

[tex]\angle K+49^{\circ}=180^{\circ}[/tex]

[tex]\angle K+49^{\circ}-49^{\circ}=180^{\circ}-49^{\circ}[/tex]

[tex]\angle K=131^{\circ}[/tex]

[tex]\frac{j}{\text{sin}(J)}=\frac{k}{\text{sin}(K)}[/tex]

[tex]\frac{j}{\text{sin}(26^{\circ})}=\frac{22}{\text{sin}(131^{\circ})}[/tex]

[tex]\frac{j}{\text{sin}(26^{\circ})}\cdot \text{sin}(26^{\circ})=\frac{22}{\text{sin}(131^{\circ})}\cdot \text{sin}(26^{\circ})[/tex]

[tex]j=\frac{22}{0.754709580223}\cdot 0.438371146789[/tex]

[tex]j=\frac{9.644165229358}{0.754709580223}[/tex]

[tex]j=12.77864423889[/tex]

Upon rounding to nearest tenth, we will get:

[tex]j\approx 12.8[/tex]

Therefore, the length of j is approximately 12.8 cm.

Answer:

12.8

Step-by-step explanation:

delta math

Answer:

True

Step-by-step explanation:

I have a picture of my notes right here

Answer:

Yes it is.

Step-by-step explanation:

I did some research, plus we learned about this in Geometry

Plz click the Thanks button!

<Jayla>

Answer:D

Step-by-step explanation:

1st --- 20

2nd -- 16

3rd -- 12.8

4th -- 10.24

5th -- 8.192

6th -- 6.5536

The first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Orlando is making a design for a logo.

The first square measures = 20 inches

The second square measures = [tex](20-4 ) = 16 inches[/tex]

The third square measures = [tex]( 16-(4)(0.8))=16-3.2[/tex]

⇒ [tex]12.8 inches[/tex]

The fourth square measures = [tex]12-(3.2)(0.8)=12-2.56[/tex]

⇒ [tex]10.28 inches[/tex]

The fifth square measures = [tex]10.28-(2.56)(0.8) =10.28-2.048[/tex]

⇒ [tex]8.192[/tex]

The sixth square measures = [tex]8.092-(2.048)(0.8)=8.092-1.6384[/tex]

⇒ [tex]6.5536[/tex]

Hence we can conclude that the first square with a side length of less than 8 inches is option (D) sixth square and it's side length is 6.5536 inches.

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Answer:

B=5

Step-by-step explanation:

mark me brainliest please

Answer:

b = 5

Step-by-step explanation:

12 = -18 + 6b

30 = 6b

5 = b

Answer:

  x = 149

Step-by-step explanation:

The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.

Corresponding angles in this geometry have identical measures:

  x° = 149°

  x = 149

Answer:

16

Step-by-step explanation:

Since this is a right triangle, we can use trig identities

sin theta = opp / hyp

sin 30  = 8 / NO

Multiply each side by NO

NO sin 30 = 8

Divide each side by sin 30

NO = 8 /sin 30

NO = 8 / 1/2

NO = 16

Answer:

Step-by-step explanation:

its 1

The given function f(x) = (1/4)ˣ, the initial value of the function when x is substituted in the function is , 1

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

Graph of function f(x) = (1/4)ˣ

when value of x is substituted in given function,

f(0) = (1/4)⁰

f(0) = 1

So, the initial value of the function is 1

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Answer:

B, 24 (second answer choice)

Step-by-step explanation:

4r+7s=23

r-2s=17

8r+14s=46

7r-14s=119

15r=165

r=11

11-2s=17..........by putting value of r in ii

-2s=17-11

2s= -6

s= -3

3r+3s=3*11+3(-3) you get this by putting values of r and s

       =33-9

       =24    (B)

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

Explanation:

Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s

Do the same for the right hand sides of the two equations 23+17 = 40

After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40

Next, divide both sides by 5 to lead to r+s = 8

Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24

----------------------------

An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...

4(2s+17)+7s = 23

8s+68+7s = 23

15s+68 = 23

15s = 23-68

15s = -45

s = -45/15

s = -3

Which means,

r = 2s+17

r = 2(-3)+17

r = 11

and therefore,

3r+3s = 3(-3)+3(11) = -9+33 = 24

Answer:

the correct answer is b.) though painful, the contractions help women give birth

Step-by-step explanation:

The contractions in labor are part of a feedback system involving the uterus, hypothalamus and posterior pituitary gland, resulting in the release of oxytocin. This hormone triggers increased uterine contractions which helps in the birthing process, continuing until the baby is born.

The contractions experienced by women in labor, despite being painful, are a necessary part of the birth process, and the body has a feedback system that encourages this process to continue. The basis for this is a feedback relay between the uterus, hypothalamus, and the posterior pituitary gland in the brain. The first contractions of labor, which are the stimulus, push the baby toward the cervix, the lowest part of the uterus. The cervix contains stretch-sensitive nerve cells that monitor the degree of stretching, these sensors then send messages to the brain, which in turn causes the pituitary gland at the base of the brain to release the hormone oxytocin into the bloodstream.

Oxytocin causes stronger contractions of the smooth muscles in the uterus, which are the effectors, pushing the baby further down the birth canal. This causes even greater stretching of the cervix. The cycle of stretching, oxytocin release, and increasingly more forceful contractions only stops when the baby is born. At this point, the stretching of the cervix halts, thereby stopping the release of oxytocin.

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Answer: +16

Step-by-step explanation: In this problem, we want to evaluate the expression, -2c, when c is equal to -8.

Since we have -2c and c is -8, we simply multiply -2(-8) which is +16.

Answer:

10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

Thus applying same to sin(-5x)

sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Answer:

About 324.96 inches

Step-by-step explanation:

Pythagorean Triangle Formula: a²+b²=c²

36²+323²=c²

1296+104329=c²

c²=105,598

Square root both sides

c=[tex]\sqrt{105,598}[/tex]

c=324.958459 inches≈324.96 inches

Answer:

3.5

Step-by-step explanation:

The median is the middle number when the numbers are aligned from smallest to largest

3, 5, 7, 4, 3,1​

1,3, 3,      4 ,5 ,7

The middle is between the 3 and the 4  so average the 3 and the 3

(3+4)/2 = 7/2 = 3.5

The median is 3.5

Answer:

800

Step-by-step explanation:

because if you round 822 to the nearest hundred you would 800 since its the closest one

Answer:

822 rounded to the nearest hundred is: 800 When rounding to the nearest hundred, like we did with 822 above,  We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Step-by-step explanation:

Answer: 470000 grams

Step-by-step explanation:

1 kilogram =1000 grams

470×1000=470000

Answer:

it weighs 470000 grams ...

Step-by-step explanation:

1 kg = 1000

470 kg = 470×1000 => 470000

Answer:

(2x+5)(2x-5)

x=-5/2, +5/2

Step-by-step explanation:

Answer:

(y-9)(y-2)

Step-by-step explanation:

-9 and -2 add up to -11 and when multiplied they make a positive 18

Answer:

Step-by-step explanation:

Sum = -11

Product = +18

Factors are :  9 , 2

y² - 11y + 18 = y² - 9y -2y + (-9)*(-2)

=y(y - 9) -2(y - 9)

= (y - 9)(y - 2)