Help me please on the equation​

Help Me Please On The Equation

Answers

Answer 1

1. 10x+5=35

2. 5x+10=35

3. 35x+5=10


Related Questions

In the triangle ABC , AB=17cm,BC=9cm and angle ACB=90°
Calculate AC

Answers

I believe the answer is 14.42

The length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°. This can be obtained by using Pythagoras' theorem.

What is Pythagoras' theorem?Pythagoras' theorem states that the sum of squares of the legs of a right triangle is equal to the square of the hypotenuse, that is,⇒ a² + b² = c²

Calculate the side AC of ΔABC:

Given that, AB=17cm, BC=9cm and angle ∠ACB=90°.

By using Pythagoras' theorem,

AB² = AC²+BC²

17² = AC²+9²

AC² = 17²-9² =289-81 = 208

AC = √208 =14.42

⇒AC = 14.42cm

Hence the length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°.

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I did something wrong could you help?

Answers

Answer:

Slope = 1/2

y-intercept = 30

Equation : y = 1/2x + 30

D. 150 miles

Step-by-step explanation:

We can use the two visible points you marked on the graph.

They are (0,30) which is also the y-intercept and (20,40).

Calculate change of y over change of x.

10/20 or 1/2

So the slope is 1/2 and the y-intercept is 30.

Therefore, using y = mx + b form, the equation is y = 1/2x + 30

Then, to find how many miles you drove if the cost was $105, we can plug in 105 for y in the equation.

105 = 1/2x + 30

75 = 1/2x

x = 150

Riddle

"If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?"

Answers

Answer:

100 minutes?

lol

Answer:

5 minutes

Step-by-step explanation:

duh...

Find the length of the diameter of a circle that has a center at Point T (3, 1) and passes through the point (1, -6).

Answers

Answer:

[tex]D=14.56[/tex]

Step-by-step explanation:

We know that the diameter of a circle is twice the radius.

Calculate the radius of the circle with the formula for calculate the distance between two points:

[tex]d=r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where "r" is the radius.

Knowing that the center of the circle is at point (3, 1) and the circle passes through the point (1, -6), we can substitute values into the formula to find the radius:

[tex]r=\sqrt{(3-1)^2+(1-(-6))^2}=\sqrt{53}[/tex]

Then the diameter of the circle  is:

[tex]D=2r\\D=2\sqrt{53}[/tex]

[tex]D=14.56[/tex]

For question 9 and 10 use the graph below
9. What is the x intercept
10.what is the y intercept

Answers

Answer:the x intercept is (0,-7) that is number 9 and number 10 is (0,2)

Step-by-step explanation:

Which of the following is a solution to 4sin2x − 1 = 0?

Answers

x=0.12634012+

[tex]\\\pi144445618[/tex]

Answer:

A. 30

Step-by-step explanation:

The correct form is:

4sin^2 x − 1 = 0

First step is add 1 to both sides:

4sin^2 x-1+1=0+1

4sin^2 x=1

Now to eliminate 4 divide both sides by 4

4sin^2 x/4=1/4

sin^2 x=1/4

Take square root at both sides

√sin^2 x = √1/4

sinx = 1/2

Thus the correct option is 30° ....

I need to find the scale factor ​

Answers

The scale factor is 1/3 because 9÷27, 16÷48, and 20÷60 all equal 1/3

please help asap ( 10 points)

Answers

The estimate and the answer of the given real numbers are:

Estimate    Answer

[tex]\dfrac{21}{4}[/tex]                5.25

[tex]\dfrac{4}{3}[/tex]                   1.33

[tex]\dfrac{4}{1}[/tex]                     4

Multiplication of real numbers.

The multiplication of real numbers (rational or irrational) can take different forms or processes. Here, we are to multiply the following numbers.

[tex]1\frac{3}{4} \times 3[/tex]

Let us convert the mixed fraction to an improper fraction to find the estimate.

[tex]\dfrac{7}{4} \times 3[/tex]

The estimate [tex]=\dfrac{21}{4}[/tex]

The answer  [tex]\dfrac{21}{4} = 5.25[/tex]

The second question:

[tex]\dfrac{8}{9}\times 1\dfrac{1}{2}[/tex]

[tex]=\dfrac{8}{9}\times \dfrac{3}{2}[/tex]

[tex]=\dfrac{4}{3}\times \dfrac{1}{1}[/tex]

Estimate = [tex]\dfrac{4}{3}[/tex]

Answer = 1.33

The third question

[tex]3\dfrac{1}{2}\times 1\dfrac{1}{7}[/tex]

[tex]=\dfrac{7}{2}\times \dfrac{8}{7}[/tex]

[tex]=\dfrac{1}{1}\times \dfrac{4}{1}[/tex]

Estimate = [tex]\dfrac{4}{1}[/tex]

Answer = 4

PPPLLLSSS HELP ME!!!!
3 to the 4 power + 4 ⋅ 5 = ____. (Input only whole numbers.)

Answers

Answer:

101

Step-by-step explanation:

3 to the fourth power is 3*3*3*3 which is 81. 4*5=20. 81+20=101

Answer: 3^4 + 4 * 5 = 101

Step-by-step explanation:

You have to use the order of operations (PEMDAS)

3^4 is an exponent, so you simplify this first

3^4 = 81

4*5 is multiplication, so you do this next

4*5 = 20

81+20 = 101

trigonometry help? ​

Answers

Answer:

x ≈ 6.7

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{8}[/tex]

Multiply both sides by 8

8 × tan40° = x, hence

x = 6.7 ( to 1 dec. place )

PLEASE ANSWER RIGHT AEAY

Answers

Answer:

[tex]y=Sin(x-\frac{\pi}{4})[/tex]

Step-by-step explanation:

The basic graph of y = Sin(x), starts at x = 0.

Looking at the graph, the basic sin curve starts at x = π/4

So this function is the parent sin function shifted π/4 units to the right.

Note:

y = Sin(x-a)  is the parent function ( y= Sinx) shifted a units right

y = Sin(x+a)  is the parent function shifted a units left

Since this function is shifted π/4 units right, the equation would be:

y = Sin (x-π/4)

The third answer choice is right.

The figure below is a net for a triangular prism. Side a = 22 feet, side b = 14 feet, side c = 13 feet, side d = 13 feet, and side e = 19 feet. What is the surface area of this figure?

A. 1,194 square feet
B. 908 square feet
C. 1,172 square feet
D. 1,216 square feet

Answers

Answer:

the answer is 1,194

Step-by-step explanation:

what you want to do is find the area of 2 triangles and 3 rectangles

area of 1st rectangle

1 = ae

=(22 ft) (19 ft)

=418 sq. ft.

area of 2nd rectangle

2 = ab

=(22 ft.) (14 ft.)

=308 sq. ft.

area of 3rd rectangle

3=ad

=(22 ft.) (13 ft.)

=286 sq. ft.

area of 1st triangle

Area of triangle =  1/2 cb

=1/2 (13ft) (14ft)

= 1/2 (182 sq. ft)

=91 sq. ft.

***this would be the same for 2nd triangle*** 91 sq ft.

Next add all areas together to get the total surface area

Total surface area = ae + ab + ad + 2 (1/2 cb)

= 418 sq. ft + 308 sq. ft. + 286 sq. ft. + 2(91 sq. ft)

=418 + 308 + 286 + 182

= 1,194 sq. ft.

Expand and simplify (2X-3)^2​

Answers

Answer:

4x^2−12x+9

If you have another question ask

The solution of expression is,

⇒ 4x² + 9 - 12x

We have to given that,

An expression to solve,

⇒ (2x - 3)²

Now, We can used the formula,

⇒ (a - b)² = a² + b² - 2ab

Hence, We get;

⇒ (2x - 3)² = (2x)² + 3² - 2×2x×3

                = 4x² + 9 - 12x

Therefore, The solution of expression is,

⇒ 4x² + 9 - 12x

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Opel runs a bakery, and it takes her 15 minutes to make a batch of cookie dough. What is Opel's rate per minute for making batches of cookie dough?

Answers

Answer:

ok so it can either be 0.07x or 1/15x (they are equal)

(both being 1/15th of a cookie per minute)

Final answer:

Opel's rate of making cookie dough is determined by recognizing that she makes one batch every 15 minutes. Therefore, per minute, she can make about 0.067 batches.

Explanation:

In the context of this problem, we're examining Opel's productivity in creating batches of cookie dough. Specifically, Opel can make a batch of cookie dough in 15 minutes. Therefore, to find her rate per minute, we simply recognize that one task (making a batch of cookie dough) corresponds to 15 minutes. Thus, her rate is 1 batch per 15 minutes. But we want to express this in terms of batches per minute. To do this, we simply take the reciprocal of 15, which is approximately 0.067. So, Opel's rate of making cookie dough is roughly 0.067 batches per minute.

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Solve this system of linear equations. Separate the x- and y-values with a comma. -3x=42-16y 14x=76-16y

Answers

Final answer:

To solve the given system of linear equations -3x = 42-16y and 14x = 76-16y, use the method of elimination to find the solution (20-6y, y).

Explanation:

To solve the system of linear equations -3x = 42-16y and 14x = 76-16y, we can use the method of substitution or elimination. Let's use the method of elimination:

Multiply the first equation by 2 to make the coefficients of y in both equations equal. The equations become:

-6x = 84-32y and 14x = 76-16y

Add the two equations together:

-6x + 14x = 84-32y + 76-16y

Simplify:

8x = 160-48y

Rearrange the equation to solve for x:

x = (160-48y)/8

Simplify further:

x = 20-6y

The solution to the system of equations is x = 20-6y. To separate the x- and y-values, we write it as (20-6y, y).

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Helpppppp plsssssssss

Answers

Answer:

C

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

[tex]6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}[/tex]

Now we can use property of radical  [tex]\sqrt{x}\sqrt{y}  =\sqrt{x*y}[/tex]  to simplify:

[tex]x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}[/tex]

Correct answer is C

Answer:

The correct answer is option C.  3√5

Step-by-step explanation:

Points to remember

For a right angled triangle

Hypotenuse ² = Base² + Height²

From the attached figure we can see a square and a right angled triangle associated with the square.

Sides of square = 6

To find the value of x

Base = 3 and height = 6

Hypotenuse  = x

x² = 3² + 6²

 = 9 + 36 = 45

x = √45 = 3√5

Therefore the  correct answer is option C.  3√5

PLEASE HELP I REALLY DONT UNDERSTAND WILL GIVE 100 POINTS

Show work!!!

Circle with tangent MN.
MSN = 60°; mQS = x; mQP = x + 40; m PN = 2x-16


Find X =

Angle 5 =

Angle 1 =

Angle 2 =

Angle 6 =

Angle 7 =

Angle 3 =

Angle 8 =

Angle 4 =

MPN =​

Answers

Answer:

Part 1) The value of x is 69°

Part 2) Angle 1=64.5°

Part 3) Angle 2=84.5°

Part 4) Angle 3=31°

Part 5) Angle 4=84.5°

Part 6) Angle 5=95.5°

Part 7) Angle 6=95.5°

Part 8) Angle 7=54.5°

Part 9) Angle 8=30°

Step-by-step explanation:

Part 1) Find the value of x

we know that

arc SN+arc QS+arc QP+arc PN=360° -----> by complete circle

substitute the values

60°+x°+(x+40)°+(2x-16)°=360°

solve for x

84°+4x°=360°

4x=276°

x=69°

Part 2) Find the measure of angle 1

we know that

The inscribed angle is half that of the arc it comprises

so

m∠1=(1/2)[arc QSN]

arc QSN=arc QS+SN

arc QSN=x+60°=69°+60°=129°

substitute

m∠1=(1/2)[129°]=64.5°

Part 3) Find the measure of angle 2

we know that

The measure of the inner angle is the semi-sum of the arcs that comprise it and its opposite

m∠2=(1/2)[arc SN+arc QP]

substitute the values

m∠2=(1/2)[60°+(x+40)°]

m∠2=(1/2)[60°+(69+40)°]

m∠2=(1/2)[169°]=84.5°

Part 4) Find the measure of angle 3

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

m∠3=(1/2)[arc PN-arc SN]

substitute the values

m∠3=(1/2)[(2x-16)°-60°]

m∠3=(1/2)[(2(69)-16)°-60°]

m∠3=(1/2)[62°]=31°

Part 5) Find the measure of angle 4

we know that

m∠4=m∠2 -----> by vertical angles

so

m∠4=84.5°

Part 6) Find the measure of angle 5

we know that

m∠5+m∠2=180° -----> by supplementary angles

so

m∠5+84.5°=180°

m∠5=180°-84.5°=95.5°

Part 7) Find the measure of angle 6

we know that

m∠6=m∠5 -----> by vertical angles

so

m∠6=95.5°

Part 8) Find the measure of angle 7

we know that

The inscribed angle is half that of the arc it comprises

so

m∠7=(1/2)[arc QP]

arc QP=(x+40)°=(69+40)°=109°

substitute

m∠7=(1/2)[109°]=54.5°

Part 9) Find the measure of angle 8

we know that

The inscribed angle is half that of the arc it comprises

so

m∠8=(1/2)[arc SN]

arc SN=60°

substitute

m∠8=(1/2)[60°]=30°

find all zeros: f(x)=x^3-2x^2-4x+8​

Answers

Final answer:

To find all zeros of f(x) = x^3 - 2x^2 - 4x + 8, we can use the Rational Root Theorem to test possible rational roots. The only rational root is x = 2. The complex roots can be found by dividing the equation by (x - 2) and solving the resulting quadratic equation.

Explanation:

To find all zeros of the equation f(x) = x^3 - 2x^2 - 4x + 8, we can use the Rational Root Theorem to test possible rational roots. By factorizing the constant term, 8, and the leading coefficient, 1, we find that the possible rational roots are ±1, ±2, ±4, ±8. By testing these values in the equation, we can find that the only rational root is x = 2. To find the complex roots, we can use polynomial long division or synthetic division to divide the original equation by (x - 2) and solve the resulting quadratic equation.

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find 2 different ways to make the addition problem work. each letter stands for the same digit 0 to 9 whenever it is used

Answers

Final answer:

The addition problem can be solved in two ways: treating each column separately without carrying and writing down the sum of each column even if it is 10 or more. Examples demonstrate each method using single-digit addition without carrying and adjusting sums that exceed single digits.

Explanation:

The question at hand involves solving a unique addition problem where each letter corresponds to a digit between 0 and 9. To find 2 different ways to make the addition problem work, we need to apply traditional addition rules along with the clues provided.

First, let's analyze the given examples:

42 + 59 equals 911 - This suggests that each digit is added independently, without carrying over to the next column. Adding 2 and 9 gives 11, placed in the units column. 4 and 5 give 9, placed in the tens column.23 + 54 equals 77 - This result follows the standard addition rules with carrying over.

To construct two solutions, let's use the same principle:

For the first way, treat each column separately without carrying. For example, 35 + 46 would equal 711 (5+6 = 11 and 3+4 = 7).For the second way, consider a different interpretation where numbers in each column that add up to 10 or more result in just writing down the sum. For instance, 85 + 78 would equal 1513 (5+8 = 13, and 8+7 = 15).

It's important to follow the instructions closely and understand that digits in these sum calculations are handled independently based on the context provided.

Carolyn averaged 10.4 miles per hour. At that rate, how far could she ride from 8:00 A.M. to 10:30 A.M.?

Answers

The answer is 26 miles.

Explanation:

10:30-8:00= 2:30.

10.4÷2=5.2

10.4 ×2÷ 20.8 +5.2= 26

The inequality 2x - 3y ≥ 5 is satisfied by point (1/2,1/3 ). True False

Answers

For this case we evaluate the following inequality in the given point and verify if it is met:

[tex]2x-3y\geq  5[/tex]

[tex](x, y) = (\frac {1} {2}, \frac {1} {3})[/tex]

Substituting:

[tex]2 \frac {1} {2} -3 \frac {1} {3}\geq5[/tex]

[tex]1-1\geq 5\\0\geq 5[/tex]

It is not fulfilled!

The point does not satisfy the inequality

ANswer:

False

Answer:

False

Step-by-step explanation:

(1/2, 1/3) ⇒ x = 1/2 and y = 1/3

Substitute these values in the given equation;

   2x - 3y ≥ 5

  2(1/2) - 3(1/3) ≥ 5

   [tex]\frac{2}{2}[/tex]  -   [tex]\frac{3}{3}[/tex]

= 1 - 1 = 0

Thus the inequality is not satisfied by the given points, since 0 < 5 and ≠ 5.

I need help finding the sine of angle R

Answers

Answer:

the sine of angle R is 5/7.

Step-by-step explanation:

Recall that the sine function is defined as sin Ф = (opposite side) / hypotenuse.

The side opposite Angle R is √65 and the hypotenuse is √91.

Thus, the sine of angle R is sin R = √65 / √91, or 5/7.

Plz help me with this

Answers

Answer: A) y = -5 cos(2x - π)

Step-by-step explanation:

[tex]\text{The standard form of a cosine equation is: y=A sin(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]

In the given graph,

A (amplitude) = 5Phase Shift [tex]\bigg(\dfrac{C}{B}\bigg) = \dfrac{\pi}{2}[/tex] to the rightP (period) = π  --> B = 2D (vertical shift) = 0There is also a reflection across the x-axis.

[tex]\implies \large\boxed{y = -5cos(2x-\pi)}[/tex]

see graph below for verification

lizzy gets her paycheck every 10 days. Her husband, Don gets a paycheck every 14 days. On July 3, they both get a paycheck. How many days will pass before they both get check on same day

Answers

5 weeks .... 35 days

Lizzy and Don will both receive their paychecks on the same day after 70 days, as 70 is the Least Common Multiple (LCM) of their paycheck intervals of 10 and 14 days.

Lizzy and Don are trying to find out when they will both receive their paychecks on the same day again. To solve this, we need to find the Least Common Multiple (LCM) of their paycheck intervals which are 10 days for Lizzy and 14 days for Don. The LCM of 10 and 14 is the smallest number that both 10 and 14 can divide into without leaving a remainder.

Let's list the multiples of each:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, ...

The smallest common multiple they share is 70. This means that after 70 days, both Lizzy and Don will receive their paychecks on the same day again.

two lines are intersecting what is the value of x​

Answers

Answer:

[tex]x=111[/tex]

Step-by-step explanation:

Since these angles are supplementary, they add up to 180°.

Let's make an equation.

[tex]360=(x+23)+(2x+4) \\ \\ 360=x+23+2x+4 \\ \\ 360=3x+27 \\ \\ 3x=333 \\ \\ x = 111[/tex]

Answer:

[tex]x=51[/tex]

Step-by-step explanation:

We have been given an image of two intersecting lines. We are asked to find the value of x.

We can see that both angles are supplementary, so we can set an equation as:

[tex]x+23+2x+4=180[/tex]

[tex]x+2x+4+23=180[/tex]

[tex]3x+27=180[/tex]

[tex]3x+27-27=180-27[/tex]

[tex]3x=153[/tex]

[tex]\frac{3x}{3}=\frac{153}{3}[/tex]

[tex]x=51[/tex]

Therefore, the value of x is 51.

can someone help me please​

Answers

Answer: is A

Step-by-step explanation:

Answer: 5 Times

Step-by-step explanation: P(roll 4) = 1/6

---

Expected # of 4 in 30 rolls = (1/6)*30 = 5

How many pounds of clay do I need for 12 pounds of clay. You can use the same project more than once.​

Answers

u need 12 pounds of clay for 12 pounds of clay?

Joe says that the following statement is true. Do you agree? Explain. 4×3)3+5-10=4×3+5-10​

Answers

Answer:

The answer is True.   Hope this helps. :)

Step-by-step explanation:

( 4 x 3 ) 3 + 5 - 10 = 4 x 3 + 5 - 10

(4x3) = 12 3 + 5 = 8

4 x 3 = 12 3 + 5 = 8

This is basically an example of PEMDAS.

Perimeter

Equation

Multiplication

Division

Addition

Subtraction

(Multiplication is ahead of Addition, you multiply first)

Factor 140c+28-14a140c+28−14a140, c, plus, 28, minus, 14, a to identify the equivalent expressions. Choose 2 answers: Choose 2 answers:

Answers

The factored form of the given expression is 14(10c + 2 - a).

Given is an expression 140c + 28 - 14a, we need to factor it to simplify in equivalent expression.

We search for common term that can be eliminated in order to factor the expression 140c + 28 - 14a.

In this instance, we may factor the terms that share a common factor of 14 out.

The expression changes to:

140c + 28 - 14a

Let's now subtract 14:

14(10c + 2 - a)

Therefore, the expression's factored form is 14(10c + 2 - a).

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Plz help me with this

Answers

It's the second option.

y = -2 sin x + 2

Tell me if I'm wrong :)

It looks spiker because my graph is more spread out with the intervals.

Answer: b) y = -2 sin x + 2

Step-by-step explanation:

The standard equation for a sine graph is: y = A sin (Bx - C) + D

[tex]\text{Amplitude (A) = }\dfrac{max-min}{2}=\dfrac{4-0}{2}=\dfrac{4}{2}=2\\\\\\\text{Vertical Shift (D) = max - amplitude = }4 - 2 = 2[/tex]

A sine graph starts at the origin and tends upward.  The given graph stars at the origin and tends downward so it is a reflection → - sin x

y = -2 sin x + 2

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What number is 20%of 40 In ___, patients receive controlled exposure to objects or places that they fear. Which of the following statements is true? A) Union members had to meet in private to avoid being discriminated against by employers. B) Employers encouraged workers to form unions. C) Forming unions was illegal. D) Most union members were African Americans and unskilled workers. Who inspired the British people to resist the German invasion A)Charles de GaulleB)Franklin D. Roosevelt C)Winston ChurchillD)Josef Stalin A disk with mass m = 9.5 kg and radius R = 0.3 m begins at rest and accelerates uniformly for t = 18.1 s, to a final angular speed of = 28 rad/s. 9) What is the angular acceleration of the disk? rad/s2 10) What is the angular displacement over the 18.1 s? rad 11) What is the moment of inertia of the disk? kg-m2 12) What is the change in rotational energy of the disk? J 13) What is the tangential component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s2 14) What is the magnitude of the radial component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s2 15) What is the final speed of a point on the disk half-way between the center of the disk and the rim? m/s 16) What is the total distance a point on the rim of the disk travels during the 18.1 seconds? m What were the reasons for Muslim interest in learning? What was the first island Columbus landed on in 1492? During respiration, what do consumers such as animals release? water oxygen carbon dioxide food A die with numbers 1 through 6 is rolled. What is the probability of getting a 4 on the first roll and then getting a 4 or a 6 on the second roll? a parabola is the set of all points that: A dog gets into a fight with another dog and suffers bite wounds on its stomach and near its left front leg. Which terms would a veterinarian use to describe this injury?A. bite wounds on ventral and left, posterior areasB. bite wounds on dorsal and left, anterior areasC. bite wounds on ventral and left, anterior areasD. bite wounds on dorsal and left, posterior areasE. bite wounds on ventral and right, anterior areas What would be a negative economic effect of a government's decision tobuild a new highway?A. People would no longer use an older, inconvenient road.B. Taxes would have to be raised to pay for the project.C. Part of a rare frog's habitat would be destroyed.D. Spending would cause the economy to grow. HELP PLEASE!!!What is the solution to the system of equations below?y=1/2x-4 and y=-2x-9A) (-2,-5)B) (-2,-3)C) (2, -3)D (2,-13)PLEASE HELP THANKS!! (PLEASE HELP) Question is worth 30 points:) The following function represents the production cost F(x) In dollars for x numbers of units produced by company 1: F(x)=0.05x^2-7x+300 The Following table represents the production cost g(x) in dollars, for x number of units produced by company 2: x: 0.6,0.8,1, 1.2, 1.4 G(x): 899.58,899.52,899.50,899.52, 899.58 based on the given information, the minimum production cost for company ____ is greater [put 1 or 2 in blank space] Claude Debussy was associated with what kind of music?A. Electronic musicB. Chance musicC. ImpressionismD. Atonality 1990 marked its independence from south africa Suddenly I felt a misty consciousness as of something forgotten- a thrill of returning thought; and somehow the mystery of language was revealed to me. A. Conclusion B.Climax C. Exposition D. Conflict Which of the following questions is not important to consider when joining a professional organization?Do they have high expectations and standards? Is the cost in line with other organizations? If not, do the services justify the price? < wrongDo they make sure to stay out of the political arena?Do you share common goals and vision? < wrong Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution As discussed in class, which Eastern European nations tried to gain independence from the Soviet Union in the 1950s?Question 8 options:a) U.S. and Canadab) France and Great Britainc) Germany and Italyd) Poland and Hungary Steam Workshop Downloader