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Answer:

9.4 units

Step-by-step explanation:

To find the distance between two points D ( 1, 3 ) and H ( 9, 8 ), we can use the distance formula:

d = √(( x₂ - x₁ )² + ( y₂ - y₁ )² )

Substituting the coordinates, we have:

d = √( ( 9 - 1 )² + ( 8 - 3 )²)

Simplifying,

d = √( 8² + 5² )

d = √( 64 + 25 )

d = √89

d ≈ 9.4 units

The distance between point D and H to the nearest tenth is 9.4 units

The distance between two points is the length of the line segment joining them. Since the length of the line segment cannot be negative, the distance between two points is always positive.

The distance between two points is expressed as

S = √ X -x)² + (Y -y)²

= √ 9-1)² + 8-3)²

= √ 8² + 5²

= √ 64 +25

= √89

= 9.4 ( nearest tenth)

Therefore the distance between point D and H to the nearest tenth is 9.4 units

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Answer:

Parallel :)

Step-by-step explanation:

thats the tea sis.

Answer:

Option C

Step-by-step explanation:

There are several types of costs in this problem:

* Unique costs

* Costs that depend on the number of cars

* Costs that depend on the number of months

* Costs that depend on the number of months and the number of cars.

The costs that depend on the number of cars represent the coefficient of the variable n.

The costs that do not depend on the number of cars represent the constant value of the equation.

Then, to solve this problem you must identify the costs that do not depend on the number of cars.

These costs are:

* Membership Fee: $ 50 (one-time cost)

* Pull Pressure Check Cost: $ 15 per month

[tex]\$50 + \$15(12\ month) = \$230[/tex]

Then the answer is option C

Answer:

The swimming pool lost 500,000 liters

Step-by-step explanation:

Now it only has .5 million liters now

Answer:

25 strawberries and 10 oranges

Step-by-step explanation:

1) 12 ÷ 8 = 2.5

2)10 x 2.5= 25

3)4 x 2.5=10

Answer:   3x

Step-by-step explanation:

[tex]\dfrac{\sqrt[3]{54x^5}}{\sqrt[3]{2x^2}}=\dfrac{\sqrt[3]{3\cdot 3\cdot 3\cdot 2\cdot x\cdot x\cdot x\cdot x^2}}{\sqrt[3]{2x^2}}=\dfrac{3x\sqrt[3]{2x^2}}{\sqrt[3]{2x^2} }=\boxed{3x}[/tex]

20.43+5.12=25.55 so ur answer is 25.55

Answer:

$25.55

Step-by-step explanation:

43+ 12 =55

20+5=25

The answer is $25.55.

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}[/tex]

[tex]x^{2}=100[/tex]

[tex]x=10\ in[/tex]

Answer:

cylinder

Step-by-step explanation:

you would multiply 36*2/3 and get 24 which would be the new side length

Answer:

24 feet

Step-by-step explanation:

got it right on ttm :)    

Answer:

The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.

Step-by-step explanation:

The length of the chord AB is the same as the distance OC from the center to the cord. Let OC=2x, then CA=x. By the Pythagorean theorem, the radius r of the circle is

[tex]r^2=OC^2+AC^2,\\ \\r^2=(2x)^2+x^2=5x^2,\\ \\r=\sqrt{5}x.[/tex]

The length of the arc ED is 4x.

Consider right triangle EFO. In this triangle, EF=2x, EO=r, then the distance OF is

[tex]OF^2=OE^2-EF^2,\\ \\OF^2=5x^2-(2x)^2=x^2,\\ \\OF=x.[/tex]

The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.

The distance between the second chord from the center of the circle is 'a' (half the length of the first chord).

A circle chord is a straight line segment with both endpoints on a circular arc.

As the length of a chord is equal to its distance to the center of the circle, therefore, the length of the chord and the distance to the center of the circle is 2a. Thus, In ΔAOB the length of the third side of the triangle can be written as,

[tex]OA^2= OB^2+AB^2\\\\OA^2 =(2a)^2+a^2\\\\OA^2=5a^2\\\\OA = a\sqrt5[/tex]

Now, OA and OQ are the radii of the circle and the length of the radius of the circle is a√5 units.

Now, the length of the second chord in the same circle is twice as long as the first one, therefore, the length of the half chord is 2a. Therefore, in ΔAOB the length of the perpendicular side of the triangle can be written as,

[tex]OQ^2=OP^2+PQ^2\\\\(a\sqrt5)^2= OP^2+(2a)^2\\\\5a^2-4a^2=OP^2\\\\OP = a[/tex]

Hence, the distance between the second chord from the center of the circle is 'a' (half the length of the first chord).

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Hello.

You would write the equation like this: [tex]\frac{2}{3} c - 2[/tex]

Let me know if that was what you were looking for.

The answer is C. Hope this helps!

Answer:

C

Step-by-step explanation:

To divide 3 by 3/5

Leave the 3, change division to multiplication and turn the fraction upside down, that is

3 ÷ [tex]\frac{3}{5}[/tex]

= 3 × [tex]\frac{5}{3}[/tex]

= [tex]\frac{3(5)}{3}[/tex] = [tex]\frac{15}{3}[/tex] = 5 → C

4.0003 x 10^7 is already in scientific notation. If you mean in regular notation/as a regular number, it is 40003000. Since it is 10 to the power of positive 7, you move the decimal place 7 to the right.

Answer:

40,003,000

Step-by-step explanation:

The given number is :

[tex]4.0003\times 10^{7}[/tex]

As we can see that [tex]4.0003\times 10^{7}[/tex] is already in scientific notation.

Scientific notation means writing numbers in powers of 10.

Hence, we can write this notation in regular way as:

40,003,000

Answer:

first one

Step-by-step explanation:

first one

1^13 = 1

1^15 = 1

P.S.

1 to the exponent of any number is equal 1

Answer:

1¹³ and 1¹⁵

Step-by-step explanation:

The answer does not change however we add or reduce the exponents. This is the uniqueness of the integer 1. When the others are tried, 6¹=6 and 9¹=9

7⁸=5764801 and 8⁷=2097152

9²=81 and 4³=64

Therefore the integer 1 is the only number that is not affected by exponents.

Answer:

B

Step-by-step explanation:

use the exponent rule of division: you just subtract the exponents if the base is the same, so 4-8=-4

The fraction with a numerator of 3.74 x 10⁻¹⁶ and a denominator of 10⁻³⁰ represented as a single exponential expression is 3.74 x 10¹⁴, obtained by dividing the digit terms and subtracting the exponents.

To represent the fraction as a single exponential expression, you follow the division of exponentials rule, which involves dividing the digit terms and subtracting the exponents of the exponential terms. Given the fraction with a numerator of 3.74 x 10-16 and a denominator of 10-30, you would divide 3.74 (the digit term of the numerator) by 1 (the implied digit term of the denominator) which is just 3.74, and subtract the exponents (-16 - (-30)) which equals 14. Therefore, the fraction as a single exponential expression is 3.74 x 1014.

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Answer:

s - 8

Step-by-step explanation:

TO find the function rule, substitute (s-2) in place of v. Then simplify.

h(v) = v - 6

h(s - 2) = (s - 2) - 6

h(s - 2) = s - 8

Answer:

0.5amps

Step-by-step explanation:

I is inversely proportional to resistance

I = k/R

k = I/ R

k = 20/5

k = 4

This means that, I = 4/R

So, when R = 8ohms,

I = 4/8

 =0.5amps

Using Ohm's law, the inverse relationship between current and resistance in a simple circuit allows calculation of the new current as 12.5 amps when the resistance changes from 5 ohms to 8 ohms.

The student's question involves an application of Ohm's law, which is a fundamental principle in Physics that relates electric current (I), resistance (R), and voltage (V). According to Ohm's law, in a simple circuit, the current is inversely proportional to the resistance when the voltage is held constant. Given that the current is 20 amps when the resistance is 5 ohms, we can write the relationship as I1 * R1 = I2 * R2 where I1 and R1 are the initial current and resistance, and I2 and R2 are the final current and resistance we wish to find.

Plugging in the given values, we have:

20 amps * 5 ohms = current when resistance is 8 ohms * 8 ohms

Solving for the current when the resistance is 8 ohms:

20 amps * 5 ohms = I2 * 8 ohms

100 = I2 * 8

I2 = 100 / 8

I2 = 12.5 amps

Therefore, the current when the resistance is 8 ohms is 12.5 amps.

Answer:

THE THIRD ONE I THINK :D

Answer:

the answer to this is 7.9 or 7 13/14

Step-by-step explanation:

1. Divide both sides by 14

111/14 = 14g/14

2. Simplify

g = 7 13/14

Final answer:

The variable 'g' in the equation 111 = 14g is found by dividing 111 by 14, resulting in approximately 7.929 (rounded to 4 significant figures).

Explanation:

The equation given is 111 = 14g, which seems to be a simple algebra equation where you are solving for the variable g. To find g, you would divide both sides of the equation by 14 to isolate g.

This calculation yields: g = 111 / 14, which equals 7.92857142857. However, this number might need to be rounded depending on the context or instructions for significant figures. If the problem instructions mentioned 4 sig figs, the answer would be rounded to 7.929.

Answer: The graph is attached.

Step-by-step explanation:

The region is limited by two lines:

[tex]x+y=6[/tex] and [tex]x=4[/tex]

You can write the first inequlity [tex]x+y\leq6[/tex] in the following form:

[tex]y\leq-x+6[/tex]

This region are all the values for which the y-axis is less than the line f(x)=x+6 (all the values under the line).

The other inequality  x ≤ 4 are all the values for which the x-axis is less than the line x=4 (all the values to the left of the line).

Observe the graphs attached.

Answer:

its this one

Step-by-step explanation:

To find out how much the grocer spent on marketing last year, we need to set up an equation with x as the original budget. By solving the equation, we find that the grocer spent approximately $1511.63 on marketing last year.

To find out how much the grocer spent on marketing last year, we first need to determine the original marketing budget. Since the grocer cut their marketing budget by 57%, this means they spent only 43% of their original budget this year. Let's represent the original budget as 'x'.

Therefore, the grocer spent approximately $1511.63 on marketing last year.

Answer:

Step-by-step explanation:

(a) In order to use the elimination method, multiply the second equation by 2.

It becomes 2x + 4y = 20.

Subtract that from the first equation: 3x + 4y = 12

3x + 4y - 2x - 4y = 12 - 20

x = -8

Put that back in the second equation: -8 + 2y = 10

2y = 18

y = 9

(b) In order to use the substitution method, subtract 2y from the second equation.

It becomes x + 2y - 2y = 10 - 2y

x = 10 - 2y

Substitute that into the first equation:

3(10 - 2y) + 4y = 12

30 - 6y + 4y = 12

30 - 2y = 12

2y = 18

y = 9

Put back into the equation for x:

x = 10 - 2(9)

= 10 - 18

= -8

Answer:

Step-by-step explanation:

(1) 3x + 4y = 12

(2) x + 2y = 10

(2)*3: 3x+6y=30

by elimination (2)*3 - (1)

6y-4y=30-12

2y=18

y=9

x+2(9)=10

x=-8

rearrange (2): x=10-2y

substitute in (1): 3(10-2y)+4y=12

30-6y+4y=12

2y=30-12

y=9

x=10-2(9)

=-8

same ans either way

Answer:1846.32

Step-by-step explanation:

3.14 times 7 squared times 12 equals 1846.32

The answer should be 1846.32 ft³

answer Y=1 over 4 and Y= 2 over 3 that is your answer and these are the steps I'm going to put a image hope this is useful to u and have a beuty day

Answer:

f(y) = 12y^2 -5y -2 = 0

a = 12 b =-5 c=-2

Using quadratic formula:

y = [-b +-sq root (b^2 -4ac)] / 2 a

y = [--5 +-sq root (25 -4*12*-2)] / 24

y = [5 +- sq root  (25 + 96) ] / 24

y = [5 +- sq root  (121) ] / 24

y = [5 + 11] / 24

y1 = (2/3) = .66666666666

y2 = 5 -11 / 24  

y2 = -(1/4) = -.25

Step-by-step explanation:

Answer:

1. Count the total number of items. In this chart the total is

2. Divide the count (the frequency) by the total number.

3. Then, convert it to a percent.

so the difference is 975 - 828.75 = 146.25.

now, if we take 975 to be the 100%, what is 146.25 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 975&100\\ 146.25&x \end{array}\implies \cfrac{975}{146.25}=\cfrac{100}{x}\implies 975x=14625 \\\\\\ x=\cfrac{14625}{975}\implies x=15[/tex]

Answer:

59

Step-by-step explanation:

Substitute.

6 ^ 2 = 36

36 + 23 = 59

Answer:

y  = x+3;  y = -2x +5

Step-by-step explanation:

x + 3 = -2x + 5

Let   y = x + 3 = -2x + 5

If a = b = c then a=b and a=c

we can write the equation as

y = x + 3 and y = -2x + 5

Thus, this is the system of equations

y = x + 3

y = -2x + 5

Answer:

y = x + 3 and y = -2x + 5

Step-by-step explanation:

If we consider one set of equation as:

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

and the other set of equation as:

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

Since the left hand side for both these equations is same, therefore we can equate the right hand side and write it as:

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