solve for x and y
(7y-20)
(5x-38)
(3x-4)

It is possible to construct a cube with 2000

interlocking cubes depending on the sides for each.

It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.

In this case, the sides will be:

= 2000 / 6

= 333.33

In this case, it should be noted each side will be 333.33.

Also, if you want each to be a whole number, this won't be possible.

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The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.

To find the equation:

The available points are (3,5) and (9,10).

The line's slope is given by:

[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]

The equation is as follows:

[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]

Solve it to obtain the equation:

[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]

Therefore, the equation is 5x - 12y = -75.

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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.

The company's profit in the year 2003 is $3.1 million

Profit is defined as the amount of revenue generated after deduction of all the liabilities.

Given that in the year 2000 profit = $2.2 million

Each year increase in profit = 13% =0.13

Total number of year = 2003-2000=3 years

Profit is denoted by

[tex]profit=initial profit(1+each.year.increase)^{years}[/tex]

Substituting the values we get

profit=[tex]2.2(1+0.13)^3[/tex]

=[tex]2.2(1.13)^3=2.2*1.442897[/tex]

=3.174373

=3.1 million

Therefor , the company's profit in the year 2003 is $3.1 million

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The sphere's equation that passes through the given point is:

To find the equation of the sphere:

So,

Now,

[tex]\begin{aligned}&=\sqrt{\left(x_c-x_p\right)^2+\left(y_c-y_p\right)^2+\left(z_c-z_p\right)^2} \\&=\sqrt{(3-4)^2+(8-3)^2+(1-(-1))^2} \\&=\sqrt{(-1)^2+(5)^2+(2)^2} \\&=\sqrt{1+25+4} \\\therefore r &=\sqrt{30}\end{aligned}[/tex]

Supplement the center point and radius into the standard sphere equation:

[tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2\\(x-3)^2+(y-8)^2+(z-1)^2=(\sqrt{30})^2\\(x-3)^2+(y-8)^2+(z-1)^2=30[/tex]

Therefore, the sphere's equation that passes through the given point is:

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The correct question is given below;

Find an equation of the sphere that passes through the point (4, 3,−1) and has to center (3, 8, 1).

Answer:

[tex](-4,-\frac{1}{2})[/tex]

Step-by-step explanation:

The midpoint of a line segment can be found using the midpoint formula below:

[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]

Note that [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate of the end points.

Let's identify the coordinates of the two end points, A and B.

On both axes, a square represents 1 unit.

A(-5, -4) and B(-3, 3)

Applying the midpoint formula,

midpoint

= [tex](\frac{-5-3}{2} ,\frac{-4+3}{2} )[/tex]

= [tex](\frac{-8}{2},\frac{-1}{2} )[/tex]

= [tex]\bf{(-4,-\frac{1}{2}) }[/tex]

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Answer:

7

Step-by-step explanation:

[tex]f(4)=4m+c=11 \\ \\ f(5)=5m+c=13[/tex]

Subtracting the equations yields that m=2, and thus c=3.

[tex]\implies f(2)=2(2)+3=7[/tex]

Answer:

y=231/10

Step-by-step explanation:

First you want to add 2/5 to 15.

Now you will have 2/3y=77/5

Now you want to mulitply both sides 3/2

3/2*2y/3=3/2*77/5

Then you will get y=231/10.

Jack spends 300 minutes in two weeks riding his skateboard to and from his friend's house Monday through Friday.

Time taken by Jack to ride his skateboard down the hill to his friend's house = 10 minutes

Time taken by Jack to ride his skateboard up the hill to his friend's house = 20 minutes

Total time combined = 30 minutes

Total days in a week Monday through Friday= 5 days

Total days in 2 weeks = 10 days

Therefore, time spent by jack riding his skateboard up and down the hill to his friend's house in two weeks Monday through Friday  = 10*30 = 300 minutes

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Reason:

Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.

Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.

Example: y = x^3 does not have an absolute max, but y = -x^2 does.

Answer:

The prime factorization of 196 is 196 = 2 × 2 × 7 × 7 and can be represented as 196 = 2 2 × 7 2 using exponents.

Answer:

2² × 7² = 196

Step-by-step explanation:

The table can be filled as,

-7

-5

-1

1

9

Answer:

15 : 4

Step-by-step explanation:

Given that,

→ 4 lionesses

→ 15 cubs

Then the ratio of cubs to lionesses,

→ x = No. of cubs : No. of lionesses

→ [ x = 15 : 4 ]

Hence, the ratio is 15 : 4.

the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.

We have that:

Scale of the first drawing is 1 cm to 6 inches.

It can be written in ratio as:

1 : 6

Now the scale of the other drawing of a window is

1 cm to 12 inches.

which can also be written in ratio as:

1 : 12

By comparing both the ratios, we can see that the first drawing is twice in size as the second drawing as it only includes 6 inches in 1 cm.

That mens the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.

Therefore, we get that, the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.

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If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.

Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.

We are required to find the seconds after which the driver of the car first hear the siren.

Speed is basically the distance that a vehicle covers in a particular period of time.

Speed=Distance/Time

Time=Distance/Speed

Total speed in feet per second=44+74=118 feet per second

Time=1000/118

=8.48 seconds

Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.

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The step in which Gwen made an error for the area of the shaded region in the circle is given by:

A. Step 5.

The circumference of a circle of radius r is given by:

C = 2π r.

For this problem, the circumference is of 6π units, hence the radius is given as follows:

6π = 2π r.

r = 6/2.

r = 3 units.

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

A = πr².

The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:

A = (72/360) πr².

Which is where Gwen made an error, at Step 5, hence option A is correct.

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Answer:

y=16

Step-by-step explanation:

11 = −5+y

Solve for Y

Add 5 to each side

11+5 = -5+y+5

16 = y

y=16

Answer:

for the triangle question the ans is 2

for the equation question where u have to find the mistake the student made, its the last option

The data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

The range of any given data set is the difference between the largest and the lowest data point in the data set.

Range for 4 5 6 7 13:

Range = 13 - 4 = 9

Range for 1 5 7 8 14:

Range = 14 - 1 = 13

Range for 10 11 14 17 18:

Range = 18 - 10 = 8

Range for 5 7 9 21 23:

Range = 23 - 5 = 18

11 11 11 11 11 has no range.

Therefore, the data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

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Answer:

Step-by-step explanation:

no. of emergency kits = x

bottles per kit = 5

total no. of bottles = 5x

which means,

5x = 125

125/5 = x

x = 25

Answer:

[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]

Step-by-step explanation:

[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]

False,  there is not enough information provided to Prove that both the triangles are congruent.

Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.

When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.

The given data doesn't satisfy any of the conditions.

Hence, there is not enough information provided to Prove that the two triangles are congruent.

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Answer:

tru but u gotta put a picture next time man

Step-by-step explanation:

Answer:

The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8

Step-by-step explanation:

Perimeter for rectangle:

2(x+4) + 2x

2x + 8 + 2x

4x + 8

Perimeter for the square:

4(x+2)

4x + 8

Answer:

3.) rule of thumb

Step-by-step explanation:

The width and length of the field are 160ft and 200ft respectively

When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly

Let the width of the football field be 'x' ft.

then according to given data,

length= 200 ft more than width= (x+200)ft

According to given,

Perimeter of the given field =2L+2W=1040

where L is length and W is the width

Now putting the values of length and width earlier derived, we get:

2(x)+2(x+200) =1040

2x+2x+400=1040

4x+400=1040

4x=1040-400

4x=640

x=160ft

Now, the width of the field= x=160ft

length of the field= x+200=160+200=360ft

Hence the length and the width of the field are 160ft and 360ft

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Answer:

36 cm

Step-by-step explanation:

Y = -0.5

The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry

Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)

x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2

Since radius is half of the diameter, we need to find the findthe midpoint of the diameter

Using midpoint formula,

y  = (y₁ + y₂)/2

   = (0 + (-1))/2

    = -0.5

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3. A pair of adjacent complementary angles is: ∠LJM and ∠NJM.

4. A pair of adjacent supplementary angles is: ∠KJL and ∠NJL

5. A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP

6. A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM

Supplementary angles have a sum that is equal to 180 degrees, while complementary angles equal 90 degrees.

Angles that share the same side and vertex are adjacent angles.

3. m∠LJM + m∠NJM = 56 + 34 = 90°

A pair of adjacent complementary angles is: ∠LJM and ∠NJM.

4. m∠KJL + m∠NJL = 90 + (56 + 34) = 180°

A pair of adjacent supplementary angles is: ∠KJL and ∠NJL

5. m∠EGF + m∠NJP = 41 + 49 = 90°

A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP

6. m∠FGH + m∠LJM = 124 + 56 = 180°

A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM

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The function rule for the table is y = 25/4 x

The standard expression for a linear function is expressed as y =mx + b

where

m is the slope

b is the y-intercept

Using the coordinate points (4, 25.00) and (8, 50.0)

Determine the slope

Slope = 50-25/8-4

Slope = 25/4

Determine the y-intercept

50 = 25/4(8) + b

50 = 25(2) + b

50 = 50 + b

b = 0

Hence the function rule for the table is y = 25/4 x

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By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.

We know that the angle at vertex S measures 135°, then we can write the linear equation:

(3x + 1)° + (2x - 6)° = 135°

First, we need to solve this for x.

3x + 1 + 2x - 6 = 135

5x - 5 = 135

5x = 135 + 5 = 140

x = 140/5 = 28

Now that we know the value of x, we can find the two measures, which are:

QSR = (3x +1) = (3*28 + 1)° = 85°

RST = (2x - 6)° = (2*28 - 6)° = 50°

The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.

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