Vehicle A gets 39 miles per 1.5 gaons of fuel. How many miles could it get on 3.5 gallons of fuel

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

Learn more about the square root here:

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Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

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.

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:

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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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:

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

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:

[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.

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:

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:

k>3.

Step-by-step explanation:

Hello there!

Just graph this on a number line, and you will see that any number above 3 can be equal to k.

:)

Answer:

356

Step-by-step explanation:

.55*647=356

Answer:

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

x=-5/2, +5/2

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I have a picture of my notes right here

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.

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:

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

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: +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:

(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)

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

First, change 6.5% into a decimal:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Now, plug in the values for Account 1:

[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]

[tex]A=5,687.51[/tex]

Now solve for Account 2:

Change 6% into a decimal:

6% -> [tex]\frac{6}{100}[/tex] -> 0.06

Now plug in the values:

[tex]A=3,000e^{0.06(10)}[/tex]

[tex]A=5,466.36[/tex]

Account 1 yields better money after 10 years.

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:

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:

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

Answer:

32.42  miles

Step-by-step explanation:

you could have just added

Answer:

32.42 miles

hope this helped

Answer:

D. 325 cubic units

Step-by-step explanation:

Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.

Solving for the cube:

5*5*5=

25*5=

125 units³

Solving for the rectangular prism:

5*5*8=

25*8=

200 units³

Now to find the total volume of the figure, we need to add those 2 volumes together:

200+125=325 units³

Our answer is D. 325 cubic units.

Answer:

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

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