Using the quadratic formula to solve 2x^2=4x-7, what's the values of x?

For this case we must make a rule of three:

23.47 ----------------> 100%

x -----------------------> 10%

Where the variable "x" represents the tip rate.

[tex]x = \frac {10 * 23.47} {100}\\x = 2,347[/tex]

Thus, the tip should be 2,347 dollars.

Answer:

$ 2,347

Answer: 20

H(c) = 6.4 + 0.6c

6.4 is the constant.

When the height of the cups is 18.4 the function is:

18.4 = 6.4 + 0.6c

Then, you add 6.4 from both sides

18.4 - 6.4 + 6.4 = 6.4 + 0.6c - 6.4  + 6.4

Simplify

18.4 = 6.4 + 0.6c

Switch sides

6.4 + 0.6c = 18.4

Multiply both sides by 10

6.4 x 10 + 0.6c x 10 = 18.4 x 10

Refine

64 + 6c = 184

Subtract 64 from both sides

64 + 6c - 64 = 184 - 64

Simplify

6c = 120

Divide both sides by 6

6c/6 = 120/6

c = 20

Answer:

B

Step-by-step explanation:

Since the line segment JK is tangent to the circle C, it creates a 90° angle at the point of intersection.

This means that we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Plug in the values given.

[tex]24^2+b^2=28^2 \\ \\ 576+b^2=784 \\ \\ b^2=208 \\ \\ b=\sqrt{208} \\ \\ b=14.4[/tex]

The answer would be B I think

Answer:

2x+8=20-x

Step-by-step explanation:

if it is an equation you are asking that will be it

2x + 8=20 - x

That is the equation. As you are reading the sentence try writing down exactly what it says. “2 times a number” We know that “times” means multiply, but what are we multiplying. It says to multiply 2 and a number, but we don’t know that number so we call it “x.” Then, it says “plus 8” or add 8. From that information we should come up with the expression 2x + 8. Then, it states “is the same as” which basically means equal to or =. Finally, it states “20 minus the number.” We subtract 20 and the number which can be shown as 20 - x.

All together the equation is written as 2x + 8=20 - x

We can simply do this by writing exactly what the sentence states in the order that it is written.

Answer:

D

Step-by-step explanation:

This is because when making a triangle, the two shortest sides have to add up to be bigger than the biggest side. For example, A would work because if you did 4+6, it would equal 10 which is bigger than the biggest side. B and C add up to something bigger than 6. However, D is different. If you do 2+4, that equals 6. It has to be bigger than six, not equal

The expression that has a value of 36 is A. 9/12 x 48

Which expression has a value of 36?

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

A. 9/12 x 48

B. 6/7 x 21

C. 10/13 x 39

D. 3/7 x 42

Evaluating the expressions, we have

A. 9/12 x 48 = 36

B. 6/7 x 21 = 18

C. 10/13 x 39 = 30

D. 3/7 x 42 = 18

Hence, the expression that has a value of 36 is A. 9/12 x 48

Answer:

Step-by-step explanation:

-8

Answer: First  option.

Step-by-step explanation:

We need to remember that:

[tex]\sqrt[n]{a^n}=a[/tex]

[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]

And, according to the Power of a power property we know that:

[tex](a^m)^n=a^{(mn)}[/tex]

Knowing this, we can descompose 32 into its prime factors:

[tex]32=2*2*2*2*2=2^5[/tex]

Then we can rewrite the expression as:

[tex]=\sqrt[5]{(-32)^3}\\\\=\sqrt[5]{(-2^5)^3}[/tex]

Finally, simplifying the expression, we get:

[tex]=\sqrt[5]{(-2)^{15}}\\\\=(-2)^3\\\\=-8[/tex]

This matches with the first option.

I believe is is B: False

Answer: its true

Step-by-step explanation:

Answer: the first answer

.... Please mark branliest!!

Answer:

solution is (4,2)

Step-by-step explanation:

[tex]-3x+5y=-2[/tex]

[tex]3x+7y=26[/tex]

To solve for x  and y , we use elimination method.

we add both equations.

[tex]-3x+5y=-2[/tex]

[tex]3x+7y=26[/tex]

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

[tex]12y=24[/tex]

Divide both sides by 12

y=2

Now we find out x

[tex]-3x+5y=-2[/tex]

[tex]-3x+5(2)=-2[/tex]

[tex]-3x+10=-2[/tex]

Subtract 10 from both sides

[tex]-3x=-12[/tex]

Divide by -3 on both sides

x=4

So, solution is (4,2)

Answer:

18° and 72°

Step-by-step explanation:

Complimentary angles form 90°

We have an angle (x) 4 times larger than the other (y).

Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.

Answer:  [tex]\bold{y=sin(4x)+3}[/tex]

Step-by-step explanation:

[tex]\text{The standard form of a sine equation is: y=A cos(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

The given information is:

[tex]\implies \large\boxed{y=sin(4x)+3}[/tex]

Answer:

Journey 1: The travel starts at 30 mph for two hours, after which there is a rest of two hours. The journey then continues slightly faster, at 40 mph for one hour. Then it is time for another rest of one hour. At this point we are 100 miles from home. We return home after two hours of traveling at 50 mph.

Step-by-step explanation:

The slope of the line indicates the speed and can be calculated by dividing the traveled distance by the time it took. This way you can describe all the journeys. Can you do the other two?

Answer: 40

Step-by-step explanation:

the numbers were doubled

Answer:

40

Step-by-step explanation:

The answer is 180 seconds. The reason for this is that the second carton is 24 times the volume of the first one; so, the time taken to pack the container would be 24 times longer. This means that the answer would be found by the equation 7.5 * 24 which is evaluated to 180 seconds

To find out how long it would take to fill the larger carton, you can use the ratio of the volumes of the two cartons and the time it takes to fill the smaller carton. The formula to calculate the volume of a rectangular prism (like a carton) is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
First, we calculate the volume of the original carton:
\[ \text{Original Carton Volume} = 3 \text{ ft} \times 2 \text{ ft} \times 1 \text{ ft} = 6 \text{ cubic feet} \]
Next, we calculate the volume of the new larger carton:
\[ \text{New Carton Volume} = 4 \text{ ft} \times 6 \text{ ft} \times 6 \text{ ft} = 144 \text{ cubic feet} \]
Now, you can find out how much bigger the new carton is compared to the original carton by taking the ratio of the volumes:
\[ \text{Volume Ratio} = \frac{\text{New Carton Volume}}{\text{Original Carton Volume}} = \frac{144}{6} = 24 \]
This ratio means the new carton is 24 times larger in volume than the original carton.
Given that it takes 7.5 seconds to fill the original carton, you can now calculate the time it would take to fill the new carton by multiplying the original time by the volume ratio:
\[ \text{Time to fill new carton} = \text{Original Time} \times \text{Volume Ratio} = 7.5 \text{ sec} \times 24 = 180 \text{ sec} \]
Therefore, it would take 180 seconds to fill the carton that measures 4ft by 6ft by 6ft.

Answer:

Step-by-step explanation:

Always do what is inside the brackets first.

345.5 * 0.98 = 338.59

Now raise this to the 9th power.

338.58^9 = 5.8488*10^22

You are now finished with the brackets.

8*4.9999a = 39.9992a

Now multiply by 5.84 * 10^22

2.3395 * 10^24

Answer:

The two numbers are 15 and 21

Step-by-step explanation:

Lets x = the larger number.

The smaller number is 6 less than the larger number: x - 6

The sum of two numbers is 36

so the equation:

x + x - 6 = 36

2x - 6 = 36

2x = 42

 x = 21

smaller number: 21 - 6 = 15

The two numbers are 15 and 21

Answer:

x = -2 ±sqrt(7)

Step-by-step explanation:

x^2 +4x =3

We will complete the square

Take the coefficient of the x term, divide by 2 and then square it

4, then divide by 2

4/2

Then square it

2^2 =4

Add 4 to each side

x^2 +4x +4 = 3+4

The left side is equal to (x+ the coefficent /2 )^2

(x+2)^2 = 7

Take the square root of each side

sqrt((x+2)^2) = ±sqrt(7)

x+2 = ±sqrt(7)

Subtract 2 from each side

x+2-2 = -2±sqrt(7)

x = -2 ±sqrt(7)

Answer:

the answer is D: 294 sq. cm

Step-by-step explanation:

first you want to split the net into 4 triangles and 1 rectangle

a = 12 cm

b =  6 cm

d = 13 cm

calculate the surface area of the pyramid...

1st find the area of the rectangle base

Rectangle base area

b x a = (6 cm) (12 cm)

= 72 sq. cm

next find the area of the triangle on the left

Left triangle

1/2(b)(d) = 1/2 (6 cm)(13 cm)

= 1/2 (78 sq cm)

= 39 sq. cm

Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left & right triangles

= 2 (39 sq. cm)

= 78 sq. cm

Find the area of the triangle on the bottom

Bottom triangle area = 1/2 (a)(a)

= 1/2 (12 cm) (12 cm)

= 1/2 (144 sq. cm)

= 72 sq. cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles

2 (72 sq. cm) = 144 sq. cm

Finally...add the area of the 4 triangles to the area of the rectangular base

72 + 78 + 144 = 294 sq. cm

Answer:

D

Step-by-step explanation:

Fun fact: During your life you can produce enough saliva for 2 swimming pools! :O 0.0 :D

The answer is:

The coordinates of the midpoint are:

[tex]x-coordinate=2\\y-coordinate=6[/tex]

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

[tex]MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

We are given the points:

[tex](12,4)\\[/tex]

and

[tex](-8,8)\\[/tex]

Where,

[tex]x_{1}=12\\y_{1}=4\\x_{2}=-8\\y_{2}=8[/tex]

So, calculating the midpoint, we have:

[tex]MidPoint=(\frac{12+(-8)}{2},\frac{4+8}{2})[/tex]

[tex]MidPoint=(\frac{4}{2},\frac{12}{2})[/tex]

[tex]MidPoint=(2,6)[/tex]

Hence, we have that the coordinates of the midpoint are:

[tex]x-coordinate=2\\y-coordinate=6[/tex]

Have a nice day!

Answer:

The midpoint is (2, 6)

Step-by-step explanation:

Points to remember

The midpoint of a line segment with end points, (x₁, y₁) and (x₂, y₂)

mid point = [ (x₁ + x₂)/2 , (y₁ + y₂)/2]

To find the midpoint of given line

Here (x₁, y₁)  = (12, 4) and (x₂, y₂) = (-8, 8)

Midpoint = [

 = [(12 +-8)/2 , (4 + 8)/2]

 = (4/2 , 12/2)

 = (2, 6)

Therefore midpoint is (2, 6)

Answer:

3/7x

Step-by-step explanation:

21yz

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

49xyz

We can break this into pieces

21   1        y          z

--- * ---- * ----- *   ----

49    x      y          z

Now we can simplify. canceling the y terms and the z terms

3*7   1         1          1

------ * ---- * ----- *   ----

7*7    x         1          1

Now we can simplify canceling the 7 terms

3         1        

------ * ----

7         x        

We are left with

3/ 7x

Answer:

Option B. 4 x 8 x 3

Step-by-step explanation:

we know that

If the resulting cross-section is a rectangular figure with dimensions of 4x8

then

one of the dimensions of the prism must be 4 and another of the dimensions of the prism must be 8

Step-by-step explanation:

displayed price=100%=85

selling price=75% of the displayed price

discount=,25%

Final answer:

To find the amount of sales tax on a $85 jacket with a 7.5% sales tax, convert the percentage to 0.075 and multiply by $85, resulting in a tax of $6.375. Add this to the original price for a total of $91.38.

Explanation:

To calculate the amount of sales tax for an item, you must first convert the percentage to a decimal and then multiply it by the item's displayed price. For the example of a jacket priced at $85 with a 7.5% sales tax, you would use the following equation:

Amount of sales tax = price × rate of sales tax

First, convert 7.5% to a decimal by dividing by 100, which gives us 0.075. Then, multiply $85 by 0.075:

$85 × 0.075 = $6.375

Therefore, the sales tax is $6.375. To find the total cost of the jacket including the sales tax, you simply add the amount of the sales tax to the displayed price:

Total cost = displayed price + sales tax

Total cost = $85 + $6.375 = $91.375

Since the total cost usually needs to be rounded to the nearest cent, the final total cost of the jacket would be $91.38.

Answer:

The area of the shaded region is [tex]875.68\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the large circle minus the area of the inner circle

step 1

Find the radius of the inner circle

we know that

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=77.872\ cm[/tex]

substitute and solve for r

[tex]77.872=2(3.14)r[/tex]

[tex]r=77.872/[2(3.14)]=12.4\ cm[/tex]

step 2

Find the radius of the large circle

[tex]r=12.4+8.4=20.8\ cm[/tex]

step 3

Find the area of the shaded region

[tex]A=(3.14)[20.8^{2} -12.4^{2}]= 875.68\ cm^{2}[/tex]

The area of the shaded region is: 875.60 square centimeters

The formula for the circumference of a circle is:

C = 2πr

where:

C is Circumference

r is radius

We are told the the circumference of the inner circle is 77.872 cm

Thus:

2πr = 77.872

r = 77.872/2π

r = 12.39 cm

Total radius of larger circle = 12.39 + 8.4 = 20.79 cm

Area of larger circle = π * 20.79²

Area of larger circle = 1357.87 cm²

Area of smaller circle is: π *  12.39²

Area of smaller circle is: 482.27 cm²

The area of the shaded region = 1357.87 cm² - 482.27 cm²

The area of the shaded region = 875.60 square centimeters

Read more about Area of shaded region at: https://brainly.com/question/1297097

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Answer:

D

Step-by-step explanation:

The data CAN NOT change.

D. How many football games the Texans won in the 2014-2015 season would yield data without variability.

The correct option is D.

The measure of variability is a statistical term that refers to the extent to which data points in a dataset are spread out or dispersed from each other. In other words, it measures how much the individual data points deviate from the central tendency of the dataset.

D. How many football games the Texans won in the 2014-2015 season would yield data without variability.

The number of wins is a fixed value that does not vary, and therefore, the data would not have any variability.

In contrast, the other options involve variables that can vary between individuals or households, and therefore would yield data with variability. For example, different friends may have spent different amounts on downloading music, or different households may watch different amounts of TV.

The height of trees can also vary depending on the species, age, and other factors.

Therefore, option D is correct.

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https://brainly.com/question/29355567

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Answer:

Option B. [tex]r=\sqrt{\frac{3V}{\pi h}}[/tex]

Step-by-step explanation:

we know that

The volume of a cone is equal to

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

Solve for the radius r

That means-----> isolate the variable r

Multiply by 3 both sides

[tex]3V=\pi r^{2} h[/tex]

Divide by [tex](\pi h)[/tex] both sides

[tex]r^{2}=\frac{3V}{\pi h}[/tex]

square root both sides

[tex]r=\sqrt{\frac{3V}{\pi h}}[/tex]

If Caroline knows the height and the required volume of a cone-shaped vase, the formula she can use to determine the radius of the vase is: [tex]\mathbf{r = \sqrt{\frac{3V}{\pi h} } }[/tex]

Volume of cone (V) = 1/3πr²h

radius = r; height of cone = h

Having the height (h) and volume (V), find r:

1/3πr²h = V

(πr²h)/3 = V

πr²h = 3V

Divide both sides by πh

r² = 3V/πh

Take the square root of both sides

[tex]\mathbf{r = \sqrt{\frac{3V}{\pi h} } }[/tex]

Therefore, if Caroline knows the height and the required volume of a cone-shaped vase, the formula she can use to determine the radius of the vase is: [tex]\mathbf{r = \sqrt{\frac{3V}{\pi h} } }[/tex]

Learn more about the volume of a cone on:

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Answer:

A.5

Step-by-step explanation:

-x = 4 - 3x + 6

-x+3x = 4 + 6

2x =10

x=5

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

[tex]C=2\pi r = 32\pi[/tex]

So, we have the following proportion:

[tex]360\div 32\pi = x \div 48[/tex]

that you can read as: "if an angle of 360 corresponds to a distance travelled of [tex]32\pi[/tex], then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

[tex]x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9[/tex]

The car wheel with a radius of 16 inches turns through an angle of approximately 171.9° when the car rolls forward 4 feet.

To find the angle through which a car wheel turns when the car rolls forward 4 feet, given that the wheel has a radius of 16 inches, we first convert the distance in feet to inches and then calculate the circumference of the wheel. Finally, we determine the angle using the relationship between the length of arc and the radius.

First, convert the distance from feet to inches:

Next, calculate the circumference of the wheel:

The total distance rolled (48 inches) is less than the circumference of the wheel, so the wheel will not complete a full revolution. To find the angle, we use the formula:

Therefore, the wheel turns through an angle of approximately 171.9° when the car rolls forward 4 feet.

Answer:$56 for 4 adults  & 8 students

Step-by-step explanation: so you would do 8*4 then add it to 6*4= 24+32=$56

The expression to represent the cost of 4 adult tickets and 8 student tickets to the museum is 4(6) + 8(4), which totals $56.00.

The question asks for an expression that represents the cost of 4 adult tickets and 8 student tickets to the museum. Given that the price of an adult ticket is $6.00 and the price of a student ticket is $4.00, we can calculate the total cost as follows:
For adult tickets: 4 tickets  imes $6.00 per ticket = $24.00.
For student tickets: 8 tickets  imes $4.00 per ticket = $32.00.
The total cost is the sum of the cost for adult tickets and the cost for student tickets, which can be represented by the expression: 4(6) + 8(4) or $24.00 + $32.00, equaling $56.00 in total.

Answer: 27, 29

Step-by-step explanation:

Consecutive integers are as follows:

First Integer: x

Second Integer: x + 1

Third Integer: x + 2

Fourth Integer: x + 3

The second and fourth = 58

        x + 1    +      x + 3    = 58

                           2x + 4 = 58

                           2x       = 54

                             x       = 27

First Integer:  x              = 27

Third Integer: x + 2       = 27 + 2      = 29

Answer:

Step-by-step explanation:

n, n + 1, n + 2, n + 3 - four consecutive integers

The equation:

(n + 1) + (n + 3) = 58

n + 1 + n + 3 = 58                combine like terms

(n + n) + (1 + 3) = 58

2n + 4 = 58             subtract 4 from both sides

2n = 54            divide both sides by 2

n = 27 - first

n + 1 = 28 - second

n + 2 = 29 - third

n + 3 = 30 - fourth

ANSWER

[tex]{ \tan(y) } = \frac{ \sqrt{7} }{3}[/tex]

EXPLANATION

If

[tex] \sin(X )= \frac{3}{4} [/tex]

[tex] \sin(X )= \frac{opposite}{hypotenuse} [/tex]

This implies that the opposite is 3 units and the hypotenuse is 4 units.

We now find the adjacent side using the Pythagoras Theorem.

[tex] {a}^{2} + {o}^{2} = {h}^{2} [/tex]

[tex] {a}^{2} + {3}^{2} = {4}^{2} [/tex]

[tex]{a}^{2} + 9 =16[/tex]

[tex] {a}^{2} =16 - 9[/tex]

[tex]{a}^{2} = 7[/tex]

[tex]{a}= \sqrt{7} [/tex]

[tex] { \tan(y) } = \frac{opposite}{adjacent} [/tex]

The side opposite to Y is √7 and the side adjacent to Y is 3.

[tex] { \tan(y) } = \frac{ \sqrt{7} }{3} [/tex]