help 23 points 2 questions

Answer:

NO SOLUTION.

Step-by-step explanation:

4x - y    =  -5

12x - 3y  = 15

Multiply the first equation by 3:

12x - 3y = -15

Note that the left side of this equation is the same as the left side of the second one, but the right sides are different.  The left side cannot be equal to 2 different values. Therefore there  is NO SOLUTION.

Note if we subtract the last 2 equations we get:

0 = 30  which is, of course, absurd.

Answer:

Part A) [tex]500\ ft[/tex]

Part B) [tex]2\ in[/tex]

Step-by-step explanation:

we know that

The scale of the map is [tex]\frac{1}{125} \frac{in}{ft}[/tex]

That means

1 in on the map represent 125 ft in the real

Part A) How many feet do 4 inches

using proportion

[tex]\frac{1}{125} \frac{in}{ft}=\frac{4}{x} \frac{in}{ft}\\ \\x=125*4\\ \\x=500\ ft[/tex]

Part B) Jon lives 250 feet away from Max. How many inches separate Jon’s home from Max’s on the map?

using proportion

[tex]\frac{1}{125} \frac{in}{ft}=\frac{x}{250} \frac{in}{ft}\\ \\x=250/125\\ \\x=2\ in[/tex]

Jon's home is 2 inches from Max's on the map, according to the scale of 1 inch:125 feet, considering Jon lives 250 feet from Max.

To find out how many inches separate Jon's home from Max's on the map, we need to apply the given scale of the map which is 1 inch:125 feet. Since Jon lives 250 feet away from Max, we can set up a proportion to solve for the distance on the map as follows:

1 inch / 125 feet = x inches / 250 feet

Cross-multiply to solve for x:

125x = 1 * 250

125x = 250

Now, divide both sides by 125 to isolate x:

x = 250 / 125

x = 2

So, Jon's home is 2 inches from Max's on the map.

Answer: 6

Step-by-step explanation: The formula to solve this is 2x + 8 = x + 14

First, you need to subtract x from each side:

X + 8 = 14

Next, subtract 8 from each side:

X = 6

Final answer:

To find the original number, we can solve the equation 2x + 8 = 14 + x.

Explanation:

To solve this problem, let's represent the original number as 'x'.

If you double the number, it becomes 2x. If you then add 8 to it, the equation becomes: 2x + 8 = 14 + x.

To isolate 'x' on one side of the equation, we subtract 'x' from both sides: 2x - x = 14 - 8.

This simplifies to: x = 6.

So, the original number is 6.

Answer:

0.01.

113.

Step-by-step explanation:

Probability of a defect = 9/1200

= 0.0075

= 0.01 to the nearest hundredth.

Prediction  of number of defects in 15,000 computers

= 15,000 * 0.0075

=  113.

The probability of choosing defective computers is 0.01 and the number of predictions is 113.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given that manufacturer tests 1200 computers and finds that 9 of them have defects. Find the probability that a computer chosen at random has a defect.

The probability will be calculated as,

Probability of a defect = 9/1200

= 0.0075

= 0.01 to the nearest hundredth.

Prediction  of the number of defects in 15,000 computers

= 15,000 * 0.0075

=  113.

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To find the coordinate of K', we first rotate point a (-7,-2) 270 degrees clockwise. Then, we shift the resulting coordinates 3 units down. The coordinate of K' is (-7, -5).

To find the coordinate of K', we first need to rotate point a (-7,-2) 270 degrees clockwise. To do this, we can use the rotation matrix:

[cos(theta)  -sin(theta)] [x]
[sin(theta)  cos(theta)]  [y]

Plugging in the values, we get:

[cos(270)  -sin(270)] [-7]
[sin(270)  cos(270)]  [-2]

Simplifying, we have:

[-0 -1] [-7]
[1  0]]  [-2]

Multiplying, we get:

[0 -7]
[1  0]]

Now, we shift the resulting coordinates 3 units down. Adding -3 to the y-coordinate, the coordinate of K' is (-7, -5).

Answer:

[tex]x=35\°[/tex]

Step-by-step explanation:

we know that

In a quadrilateral inscribed in a circle , the opposite angles are supplementary

so

In this problem

[tex](3x+2)\°+(3x-32)\°=180\°[/tex]

Solve for x

[tex]6x-30\°=180\°[/tex]

[tex]6x=210\°[/tex]

[tex]x=210\°/6=35\°[/tex]

Answer:

A. 35

Step-by-step explanation:

I did this question earlier and A. 35 was the answer that was right for me. Hope this helps!

The vector parametric equation for the line segment CC is <4,0> + t<-4,5>. The line integral of F⃗  along CC is 20. The line integral of F⃗  around the clockwise-oriented triangle with corners at the origin, P, and Q cannot be determined without additional information.

(a) To find a vector parametric equation for the line segment CC, we can use the points P=(4,0) and Q=(0,5). We can represent the line segment CC as r(t) = <4,0> + t<-4,5>, where t is the parameter. This equation represents the line segment from P to Q, with t=0 corresponding to P and t=1 corresponding to Q.

(b) Using the parametrization in part (a), we can evaluate the line integral of F⃗  along CC. The line integral is given by ∫CF⃗ ⋅ dr⃗ = ∫baF⃗ (r⃗ (t))⋅r⃗ ′(t)dt. In this case, the line integral is ∫01-5yi⃗ +4xj⃗⋅-4i⃗ +5j⃗ dt

(c) Evaluating the line integral from part (b), we get 20.

(d) The line integral of F⃗  around the clockwise-oriented triangle with corners at the origin, P, and Q can be found using the Green's theorem. We can calculate it by subtracting the line integral along CP from the line integral along CQ. However, we would need more information to determine the path from C to the origin.

[tex]A=lw\Rightarrow w=\frac{A}{l}=\frac{90}{9}=10\: ft[/tex]

Answer:

10 ft

Step-by-step explanation:

Area of a rectangular room is

A = l*w

We know the area and the length

90 = 9*w

Divide by 9

90/9 = 9w/9

10 =w

The width is 10 feet

Answer:

c) 8

Step-by-step explanation:

its C. because 17-9=8.

The amount of fluid used in 4 days will be 18 ounces

Since each of them use 1 1/2 cups and they are 3

so the collective amount in 1 day will be

3 * 1 1/2 = 9/2

Now

The amount in 4 days will be

4 * 9/2 = 18

Therefore they will collectively use 18 ounces in 4 days

It means f(x) has a set of numbers from 0-2

i.e, 0,1,2

Answer:

[tex]\large\boxed{A=480\ m^2}[/tex]

Step-by-step explanation:

The formula of an area of a kite:

[tex]A=\dfrac{d_1d_2}{2}[/tex]

d₁, d₂ - diagonal

Look at the picture.

Use the Pythagorean theorem.

[tex]x^2+5^2=13^2[/tex]

[tex]x^2+25=169[/tex]               subtract 25 from both sides

[tex]x^2=144\to x=\sqrt{144}\\\\x=12\ m[/tex]

Therefore d₁ = (2)(12 m) = 24 m.

[tex]y^2+12^2=37^2[/tex]

[tex]y^2+144=1369[/tex]         subtract 144 from both sides

[tex]y^2=1225\to y=\sqrt{1225}\\\\y=35\ m[/tex]

Therefore d₂ = 5 + 35 = 40 m.

Substitute:

[tex]A=\dfrac{(24)(40)}{2}=(24)(20)=480\ m^2[/tex]

Answer:

12

Step-by-step explanation:

Let's calculate how many possible outfits does Tobias has.

Hats: 2, Shirts: 3, Pants: 2

If he's picking everything at random blindly from his closet, he could pick any of the hats, any of the shirts and any of the pants.  That makes a total of:

2 x 3 x 2 = 12 possible combinations.  

That doesn't mean the arrangement will look pretty :-)

Tobias has 12 possible outfit combinations from his closet. This is calculated by multiplying the choices he has for each item of clothing: 2 hats, 3 shirts, and 2 pairs of pants.

In this mathematics problem, Tobias has 2 hats, 3 shirts, and 2 pairs of pants. In such problems, an easy rule to remember is that for independent choices you multiply your options. So, for his hats, he has 2 options. For shirts, he has 3 options and for pants, he has 2 options. To find the total number of outfit combinations, just multiply these options: 2 (hats) * 3 (shirts) * 2 (pants) = 12 possible outfit combinations. Therefore, Tobias can mix and match his clothing items to make 12 different outfits.

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➷ If a line is parallel to the line, then the slope will remain the same

Now, you just need to substitute the values of that coordinate into the equation

1/2 = -1/2(3) + c

Simplify:

1/2 = -1.5 + c

Add 1.5 to both sides

c = 2

Therefore, the equation of the line would be:

y = -1/2x + 2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 is in this form

with m = - [tex]\frac{1}{2}[/tex]

• Parallel lines have equal slopes, hence

slope of parallel line = - [tex]\frac{1}{2}[/tex], thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (3, [tex]\frac{1}{2}[/tex]) into the partial equation

[tex]\frac{1}{2}[/tex] = - [tex]\frac{3}{2}[/tex] + c ⇒ c = 2

y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation of parallel line

In order from least to greatest, it goes 4/5, 0.81, 90%

Answer:

4/5, 0.81, 90% is the answer from least to greatest.

Hope this helps :)

For this case, we find the equation of the line, for this we look for points where the line passes:

[tex](x1, y1) = (- 2,0)\\(x2, y2) = (- 10, -4)[/tex]

We found the slope:

[tex]m = \frac {y2-y1} {x2-x1} = \frac {-4-0} {- 10 - (- 2)} = \frac {-4} {- 10 + 2} = \frac {- 4} {- 8} = \frac {1} {2}[/tex]

Thus, the equation of the line is:

[tex]y = \frac {1} {2} x + b[/tex]

We substitute a point to find "b":

[tex]0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1[/tex]

Finally:

[tex]y = \frac {1} {2} x + 1[/tex]

Now, the domain is given by all the values for which the function is defined.

It is observed that "x" can take any value, that is, it is defined for all real numbers.

Answer:

Option A

Answer: second option.

Step-by-step explanation:

Let's represent the slant height of the figure with: [tex]l[/tex]

Then, to find the value of the slant height you must apply the Pythagorean Theorem, where:

[tex]l[/tex] is the hypotenuse and the other legs are 12 units and 5 units ([tex]\frac{10units}{2}=5units[/tex])

Therefore, you obtain that the slant height of the figure is the shown below:

[tex]l=\sqrt{(5units)^2+(12units)^2}\\l=13units[/tex]

Answer:

The correct answer is Slant height =13 units

Step-by-step explanation:

From the figure we can see a square pyramid

Points to remember

Hypotenuse² = Base² + Height²

To find the slant height

Fro figure we can see a right angles triangle with,

Base = 10/2 = 5 units  and Height = 12 units

We have to find Hypotenuse (Slant height)

Hypotenuse² = Base² + Height²

Slant height² = 5² + 12² = 25 + 144 = 169

Slant height = √169 = 13 units

Therefore the slant height = 13 units

Answer:

d. does not exist

Step-by-step explanation:

The given limits are;

[tex]\lim_{x \to 4} f(x) =5[/tex], [tex]\lim_{x \to 4} g(x) =0[/tex] and [tex]\lim_{x \to 4} h(x) =-2[/tex]

We want to find

[tex]\lim_{x \to 4} \frac{f}{g}(x)= \lim_{x \to 4} \frac{f(x)}{g(x)}[/tex]

By the properties of limits, we have;

[tex]\lim_{x \to 4} \frac{f}{g}(x)= \frac{\lim_{x \to 4} f(x)}{\lim_{x \to 4} g(x)}[/tex]

This gives us;

[tex]\lim_{x \to 4} \frac{f}{g}(x)= \frac{5}{0}[/tex]

Division by zero is not possible. Therefore the limit does not exist.

Answer:

Step-by-step explanation:

5 out of 8 because there are four one spaces and one pink space so that equals 5 and there are a total of 8 spaces to hit

Answer:

5/8.

Step-by-step explanation:

There are a total of 8 sectors of which 4 are 1 and 1 is pink.

So Prob (hitting a 1) = 4/8 = 1/2.

Prob (hitting a pink) = 1 /8.

So the probability of hitting a pink or a 1 = 1/2 + 1/8

= 5/8.

Answer:

[tex]15\pi\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

[tex]LA=\pi rl[/tex]

where

r is the radius of the base

l is the slant height

we have

[tex]r=3\ cm[/tex]

Applying the Pythagoras Theorem find the slant height

[tex]l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm[/tex]

substitute in the formula

[tex]LA=\pi (3)(5)=15\pi\ cm^{2}[/tex]

Answer:

1/3

Step-by-step explanation:

you go up 1 and down 3

Answer:

1/3

Step-by-step explanation:

The way to find slop is find the RISE/RUN between the two points.

Answer:

The change in the lateral surface area is approximate [tex]6.32\ m^{2}[/tex]

Step-by-step explanation:

we know that

The lateral surface area of the cone is equal to

[tex]LA=\pi r l[/tex]

where

r is the radius of the base

l is the slant height

Part 1

we have

[tex]r=10\ m, h=6\ m[/tex]

Calculate the slant height l (applying the Pythagoras Theorem)

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

substitute the values

[tex]l^{2}=10^{2}+6^{2}[/tex]

[tex]l^{2}=136[/tex]

[tex]l=\sqrt{136}\ m[/tex]

Find the lateral area of the cone

[tex]LA=\pi (10)(\sqrt{136})[/tex]

[tex]LA=10\pi \sqrt{136}\ m^{2}[/tex]

Part 2

we have

[tex]r=9.9\ m, h=6\ m[/tex]

Calculate the slant height l (applying the Pythagoras Theorem)

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

substitute the values

[tex]l^{2}=9.9^{2}+6^{2}[/tex]

[tex]l^{2}=134.01[/tex]

[tex]l=\sqrt{134.01}\ m[/tex]

Find the lateral area of the cone

[tex]LA=\pi (9.9)(\sqrt{134.01})[/tex]

[tex]LA=9.9\pi \sqrt{134.01}\ m^{2}[/tex]

Part 3

Find  the change in the lateral surface area

[tex]10\pi \sqrt{136}-9.9\pi \sqrt{134.01}[/tex]

assume [tex]\pi =3.14[/tex]

[tex]10(3.14)\sqrt{136}-9.9(3.14)\sqrt{134.01}=6.32\ m^{2}[/tex]

To approximate the change in the lateral surface area of a right circular cone with a fixed height of 6m, we can use the formula √A = 2πrL, where A is the cross-sectional area, r is the radius, and L is the slant height. By calculating the slant height for both radii and using the formula, we find that the change in the lateral surface area is 15.36m².

To approximate the change in the lateral surface area of a cone, we can use the formula √A = 2πrL, where A is the cross-sectional area, r is the radius, and L is the slant height. In this case, the height (h) is fixed at 6m. So, we need to find the slant height for both radii, using the formula L = √(r² + h²).

Step 1: Find the slant height for the first radius, r1 = 10m:

L1 = √(10² + 6²) = √136 = 11.66m

Step 2: Find the slant height for the second radius, r2 = 9.9m:

L2 = √(9.9² + 6²) = √135.20 = 11.61m

Step 3: Calculate the change in the lateral surface area, using the formula √A1 - √A2:

√A1 = 2π x 10m x 11.66m = 732.94m²

√A2 = 2π x 9.9m x 11.61m = 717.58m²

Change in Lateral Surface Area = √A1 - √A2 = 732.94m² - 717.58m² = 15.36m²

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Answer: Option D.

Step-by-step explanation:

To solve this exercise you must keep on mind the Angle at the Center Theorem.

According to the  Angle at the Center Theorem, an inscribed angle is half of the central angle.

Therefore, given in the inscribed angle m∠BAC=35°, you can calculate the central angle m∠EFD as following:

[tex]BAC=\frac{EFD}{2}[/tex]

- Solve for EFD.

[tex]EFD=2*BAC[/tex]

- When you substitute values. you obtain:

[tex]EFD=2(35\°)\\EFD=70\°[/tex]

Answer:

Option B. ∠EFD = 35°

Step-by-step explanation:

In a circle F, it has been given mED = mDB = mBC

We have to find the measure of ∠EFD

We should always remember the inscribed angle theorem which states that the measure of an inscribed angle is always half the measure of intercepted arc.

m(arc BC) = 2×∠CAB = 2×35 = 70°

Now it has been given in the question

mED = mBC

Therefore m(arc ED) = 70°

Again applying the same theorem

m(arc ED) = 2×∠EFD

70° = 2×∠EFD

m∠EFD = [tex]\frac{70}{2}=35[/tex]

Option B. 35° is the answer.

Answer:

a. [tex]x=-1,3,\:or\:6[/tex]

Step-by-step explanation:

The given equation is;

[tex]x^3-8x^2+9x+18=0[/tex]

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.

The corresponding function is

[tex]f(x)=x^3-8x^2+9x+18[/tex]

The solution to [tex]x^3-8x^2+9x+18=0[/tex] is where the graph touches the x-axis.

We can see from the graph  that; the x-intercepts are;

(-1,0),(3,0) and (6,0).

Therefore the real solutions are:

[tex]x=-1,3,\:or\:6[/tex]

Answer:

Use a graphing utility or a graphing calculator.

x = -1, 3, 6.   (3 real solutions).

Step-by-step explanation:

The points of intersection on the x axis are the 3 solutions to the equation.

Answer:

$8.608

Step-by-step explanation:

We are given that it costs $2.69 per pound to ship a package and we are to find how much would it cost to ship a package weighing 3.2 lbs.

To find this, we simply need to multiply the unit cost per pound with the weight of the package that is to be shipped.

Total cost to ship 3.2 lbs package = [tex] 3.2 \times 2.69 [/tex] = $8.608

Answer:

[tex]\large\boxed{A=46x\ m^2}[/tex]

Step-by-step explanation:

The formula of an area of a trapezoid:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]

b₁, b₂ - bases

h - height

We have

b₁ = 12m , b₂ = 6.4 m, h = 5x m.

Substitute:

[tex]A=\dfrac{12+6.4}{2}\cdot5x=\dfrac{18.4}{2}\cdot5x=9.2\cdot5x=46x[/tex]

The correct option is a) [tex]\large\boxed{A=46x\ m^2}[/tex]

The formula of an area of a trapezoid:

[tex]A=(b_1+b_2)/(2)\cdot h[/tex]

b₁, b₂ - bases

h - height

We have

b₁ = 12m , b₂ = 6.4 m, h = 5x m.

Substitute:

[tex]A=(12+6.4)/(2)\cdot5x=(18.4)/(2)\cdot5x=9.2\cdot5x=46x[/tex]

the operation functions are shown as question marks, please replace accordingly

Answer: 48°

Step-by-step explanation: The Answer is 48° this is because a triangle is equal to 180° and to find the missing side, add the two sides you do know and subtract them from 180 and you will get 48°

Have an awesome day,

Eric

Answer:

a.30.4 units²

Step-by-step explanation:

Using the triangle attached, we can find the angle at C which is 180-(22+105)=53°

Then we use the sine rule to find the value of side c.

14/sin105=c/sin53

c=(14/sin105)× sin53

c=11.575

We can now use the sine formula to find the area of the triangle. A=(1/2)absin∅

A= (1/2)×14×11.575sin22

A=30.4

Answer:

30.4

Step-by-step explanation:

Correct on edg2020

A is the answer to that question