Delia and Beto left for school at the same time.
Delia lives 3/4 mile from school and walks at a pace of
16 minutes per mile. Beto lives 3 1/2 miles from school
and bikes at a pace of 3 minutes per mile. Who will get to
school first?

Answer:

X=2 F=6 This works for both equations. Hope this helps!

Step-by-step explanation:

Answer:

The exponential function [tex]f(x)=2(3^x)[/tex] has an initial value of 2. The correct option is 1.

Step-by-step explanation:

The general form of an exponential function is

[tex]g(x)=ab^x[/tex]

Where, a is initial value and b is growth or decay factor.

In option 1, the given function is

[tex]f(x)=2(3^x)[/tex]

Here, the initial value is 2 and growth factor is 3. Therefore the correct option is 1.

In option 2, the given function is

[tex]f(x)=3(2^x)[/tex]

Here, the initial value is 3 and growth factor is 2. Therefore option 2 is incorrect.

Answer:

They will have to borrow $ 31,211

(23% of the purchase price)

Step-by-step explanation:

Total price : $135,700

Down payment:  20% of total price

Closing costs :  3% of total price

The Colburns will have to borrow 23% of the total price.

0.23*$135,700 =  $ 31,211

Answer:

See explanation

Step-by-step explanation:

If PK and PF are tangent to the circle, then the radii OK and OF are perpendicular to the lines PK and PF respectively.

Consider quadrilateral PFOK. The sum of the measures of all interior angles in quadrilateral PFOK is equal to 360°. Since OK and OF are perpendicular to the lines PK and PF, you have that

∠FOK+90°+∠KPF+90°=360°,

∠FOK=360°-90°-90°-∠KPF=180°-∠KPF.

Angles FOK and KOE are supplementary angles, then

∠KOE=180°-∠FOK=180°-(180°-∠KPF)=∠KPF.

Since angle KOE is central angle, the arc EK has the same measure as angle KOE and as angle KPF.

Given [tex]\(PK\) and \(PF\)[/tex] tangents to circle [tex]\(O\),[/tex] angles [tex]\( \angle P \) and \( \angle EK \)[/tex] are equal by the properties of tangents.

To prove that [tex]\( m\angle P = m\angle EK \)[/tex] given the diagram, we can use properties of tangents and circles. Here is a step-by-step proof:

1. Identify the given information:

  - [tex]\( PK \) and \( PF \)[/tex] are tangents to circle [tex]\( k(O) \) at points \( K \) and \( F \),[/tex] respectively.

  - [tex]\( O \)[/tex] is the center of the circle.

  - [tex]\( PK \) and \( PF \)[/tex] are tangent to the circle, meaning they touch the circle at exactly one point.

2. Use properties of tangents:

  - A tangent to a circle is perpendicular to the radius at the point of tangency.

  - Thus, [tex]\( OK \perp PK \) and \( OF \perp PF \).[/tex]

3. Mark the right angles:

[tex]- \( \angle OKP = 90^\circ \)[/tex]

[tex]- \( \angle OFP = 90^\circ \)[/tex]

4. Connect the points to form a triangle:

  - Draw the line segment [tex]\( OP \).[/tex]

5. Use the exterior angle theorem:

  - In [tex]\(\triangle OKP\),[/tex] [tex]\( \angle OPK \)[/tex] is an exterior angle for [tex]\(\angle OKP\) and \(\angle PKO\).[/tex]

  - Since [tex]\( \angle OKP = 90^\circ \)[/tex] and [tex]\(\angle PKO\)[/tex] is another angle in the triangle, we have:

[tex]\[ \angle OPK = 180^\circ - (\angle OKP + \angle PKO) = 180^\circ - (90^\circ + \angle PKO) = 90^\circ - \angle PKO. \][/tex]

6. Similarly, in [tex]\(\triangle OFP\):[/tex]

  -[tex]\( \angle OFP = 90^\circ \) and \(\angle PFO\)[/tex] is another angle in the triangle.

  - Using the same logic as before:

[tex]\[ \angle OEP = 180^\circ - (\angle OFP + \angle PFO) = 180^\circ - (90^\circ + \angle PFO) = 90^\circ - \angle PFO. \][/tex]

7. Note that [tex]\( \angle OKP = \angle P \)[/tex] and [tex]\( \angle OFP = \angle EK \):[/tex]

  - By the property of the tangents from the same external point, [tex]\( PK = PF \).[/tex]

  - [tex]\( \angle PKO \) and \( \angle PFO \)[/tex] are complementary to [tex]\(\angle P\)[/tex] and [tex]\(\angle EK\)[/tex] respectively.

Therefore, it follows that:

[tex]\[ m\angle P = m\angle EK \][/tex]

Thus, the proof is complete.

Answer: 3

The work is shown in the attached sheet! :)

Answer:

slope is 3

Step-by-step explanation:

Answer:

-3x - 9y = 36

If x = 0

Step-by-step explanation:

1. Plug 0 to x:

-3(0) - 9y = 36

2. Simplify

0 - 9y = 36

3. Cross out the 0 to make the question faster to solve, which now you are left with:

-9y = 36

4. Divide both sides by -9:

-9y/-9 = 36/-9

5. Simplify:

y = -4 <--------Answer

Hope this Helped!!!!!

~Shane

The value of y when x equals 0 in the equation -3x - 9y = 36 is -4.

To find the value of y when x equals 0 in the equation -3x - 9y = 36, we can simply substitute 0 for x and solve for y.

Substituting 0 for x, the equation becomes:

-3(0) - 9y = 36

This simplifies to:

-9y = 36

Dividing both sides of the equation by -9, we get:

y = 36 / -9

This gives us:

y = -4

Therefore, the value of y when x equals 0 is -4.

Answer:

b

Step-by-step explanation:

For this case we have a function of the form [tex]y = f (x)[/tex], where:

[tex]f (x) = 3x + \frac {5} {x}[/tex]

You want to find the value of the function to:

[tex]x = a + 2[/tex]

That is to say:

[tex]f (a + 2) = 3 (a + 2) + \frac {5} {a + 2}[/tex]

Rewriting we have:

[tex]f (a + 2) = 3a + 6 + \frac {5} {a + 2}[/tex]

ANswer:

[tex]f (a + 2) = 3 (a + 2) + \frac {5} {a + 2}[/tex]

Answer:

Step-by-step explanation:

To end his suffering

Answer:

He wanted to make a hit on broadway.

Step-by-step explanation:

Answer:

all sides are parallel to the other,has four sides

Step-by-step explanation:

Answer:

The border is 105 cm long

Step-by-step explanation:

The length of the border of the mirror is 105 cm.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The mirror is in the shape of a triangle.

Each side of the triangle.

Now,

The perimeter of the mirror.

= 3 x side

= 3 x 35 cm

= 105 cm

Thus,

The length of the border is 105 cm.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

Step-by-step explanation:

First, add 3 to both sides:

-5 = -6∛(x²)

Next, divide both sides by -6, to isolate ∛(x²):

5/6 = ∛(x²)

Eliminate the radical by cubing both sides:

5³

---- = x²

6³

Finally, take the square root of both sides.  This will isolate x.  There will be two roots:  one +, the other -.

x = ±√(5³/6³)

This simplifies to:  ± (5/6)∛(5/6).

Answer:

a. [tex]0.76,-0.76[/tex]

Step-by-step explanation:

The given equation is;

[tex]-8=-3-6\sqrt[3]{x^2}[/tex]

Add 3 to both sides of the equation to get;

[tex]-8+3=-3+3-6\sqrt[3]{x^2}[/tex]

[tex]\Rightarrow -5=-6\sqrt[3]{x^2}[/tex]

Divide both sides by -6.

[tex]\Rightarrow \frac{-5}{-6}=\sqrt[3]{x^2}[/tex]

[tex]\Rightarrow \frac{5}{6}=\sqrt[3]{x^2}[/tex]

Cube both sides of the equation;

[tex]\Rightarrow (\frac{5}{6})^3=x^2[/tex]

[tex]\Rightarrow \frac{125}{216}=x^2[/tex]

Take square root of both sides

[tex]\pm \sqrt{\frac{125}{216}}=x[/tex]

[tex]\pm 0.76=x[/tex]

[tex]\therefore x=0.76,-0.76[/tex]

Answer:

B. 16pi

Step-by-step explanation:

Lets input our radius int the formula. pi*4^2. 4^2 is 16 so the answer is 16pi.

Answer:

Parallel is undefined

Perpendicular is 0

Step-by-step explanation:

The line x = -42 is a vertical line through the x-axis. As such its slope is undefined. All parallel lines have the same slope and will also be undefined. Perpendicular lines will be lines horizontal through the y-axis. This means the slope of any perpendicular line to it will be 0.

Answer:

3(p + 2q)(p + 3q)

Step-by-step explanation:

Factor out 3 from each term

3(p² + 5pq + 6q²) ← factor the quadratic by

Consider the factors of the q² term which sum to give the coefficient of the pq- term

The factors are + 2 and + 6, since

2 × 3 = 6 and 2 + 3 = 5, hence

3p² + 15pq + 18q²

= 3(p + 2q)(p + 3q)

The quadratic expression [tex]3p^2+15pq+18q^2[/tex] can be factorized by first taking out a factor of 3, then factorizing the remaining quadratic expression. The result is 3(p+2q)(p+3q).

To answer your question about factorizing the quadratic expression [tex]3p^2+15pq+18q^2,[/tex] it's important we understand the factorization process.

First, we can take out a factor of 3.
So,[tex]3p^2+15pq+18q^2[/tex] = 3([tex]p^2+5pq+6q^2[/tex])

Now, we factor the quadratic expression [tex]p^2+5pq+6q^2.[/tex]
To factor it, we need to look for two numbers that multiply to 6 and add to 5. The numbers 2 and 3 fulfill this property. Therefore, we can write [tex]p^2+5pq+6q^2[/tex] = (p+2q)(p+3q)

So the factorization of the original expression is 3(p+2q)(p+3q)

https://brainly.com/question/33624529

#SPJ2

Answer:

C

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

V = [tex]\frac{4}{3}[/tex]πr³

If the radius is doubled, that is r = 2r , then

V = [tex]\frac{4}{3}[/tex]π (2r )³

(2r)³ = 8r³, thus the volume is multiplied by 8

Answer:

1/2*(x+1)[(6x+5)+(4x+7)}

Step-by-step explanation:

The area of a trapezoid can be expressed as a polynomial using the formula a = 1/2h(b1+b2), where 'a' is the area, 'h' is the height, and 'b1' and 'b2' are the base lengths. If h=x, b1=y, and b2=z, then the polynomial expression for the area is a=0.5xz(y+z).

The area of a trapezoid can be expressed in the form of a polynomial by using the formula a = 1/2h(b1+b2), where 'a' represents the area, 'h' is the height of the trapezoid, and 'b1' and 'b2' are the lengths of the parallel sides. Expressing this as a polynomial expression, we could have variables in place of the height and side lengths, depending on the specific trapezoid. For example, if h = x, b1 = y, and b2 = z, then the polynomial expression for the area of the trapezoid becomes a = 0.5xz(y+z).

https://brainly.com/question/15064424

#SPJ3

Answer:   c) 19,807

Step-by-step explanation:

[tex]A=A_o\cdot e^{kt}\\\\\bullet A_o\text{ is the initial population}\\\bullet \text{k is the rate of decrease}\\\bullet \text{t is the number of years after 2010}\\\\A=22,000\cdot e{(-0.021)(5)}\\.\ =22,000\cdot e^{-0.105}\\.\ =19,807[/tex]

Answer:

Place one dot at (0,2) and then make the a dot where the line touches a grid square every 2 times

Step-by-step explanation:

The y intercept is 2 and the slope is 2

Answer:

Place one dot at (0,2) and then make the a dot where the line touches a grid square every 2 times

Step-by-step explanation:

Answer:

No; statement is FALSE.

Step-by-step explanation:

If two congruent (equal length) sides of a triangle sum up to the length of the third side, we have a flat (2-dimensional) figure that is NOT a triangle.  So this statement is FALSE.

Answer:

144 in³

Step-by-step explanation:

The volume of a pyramid of base area A and height h is

V = (1/3)(A)(h).

Here,

V = (1/3)(6 in)²(12 in) = 144 in³

The volume of the given pyramid with a square base whose side measures 6 inches and the altitude of the pyramid measures 12 inches is 144 cubic inches. The value is obtained by applying the formula for the volume of the pyramid as  [tex]\frac{1}{3} B_{A}h[/tex].

The volume of the pyramid is given by the formula:

[tex]V=\frac{1}{3} B_{A}h[/tex]

Where,

[tex]B_A[/tex] is the area of the base of the pyramid and

h is the height or altitude of the pyramid

As shown in the diagram,

The pyramid has a square base whose side measures 6 inches and the altitude of the pyramid is 12 inches

Thus,

Area of the square base,

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

⇒ [tex]B_A=6^2[/tex]

⇒ [tex]B_A=36[/tex] sq. inches

Height of the pyramid h = 12 inches

On substituting the values in the formula,

[tex]V=\frac{1}{3}B_Ah[/tex]

⇒ [tex]\frac{1}{3}[/tex] × 36 × 12

⇒ 4 × 36

⇒ 144 cubic inches

Therefore, the volume of the given pyramid is 144 cubic inches.

Learn more about the volume of the pyramid here:

https://brainly.com/question/11576719

#SPJ2

Answer:

For the (), it is 32. r = 13.

Step-by-step explanation:

32 - 13 = 19.

Answer:

Yes

Step-by-step explanation:

A has a right angle because A on the triangle is turned at a 90 degree angle.

Answer:

B) Yes , two sides are perpendicular and side length fir the Pythagorean theorem.

Step-by-step explanation:

Given : A triangle on the graph.

To find : Is the following shape a right triangle? How do you know.

Solution : We have given that

A triangle ABC We need to explain is it right triangle or not.

Right triangle : A triangle which have two sides perpendicular or one of the angle is 90 degree.

 We can see from the graph side AB and AC are perpendicular to each other.

Therefore, B) Yes , two sides are perpendicular and side length fir the Pythagorean theorem.

The picture is blurry I could help but I can’t really see it

Answer:

Square

Step-by-step explanation:

You can use the distance formula from one point to another to find that the side lengths are all equals.

You can also graph it and see that it is a triangle.

With these coordinates, this shape is most likely a square. You can also tell from the distance between each point as they are equal. Graphing calculator: Desmos.com

D is the correct answer

Answer: D

Hope this Helps!

Answer:

A and E

Step-by-step explanation:

thats what it is

Final answer:

The volume of the triangular pyramid is calculated using the formula V = 1/3 × base area × height. With a base area of 330 square yards and height of 18 yards, the volume is found to be 1,980 cubic yards. Therefore, the correct answer is C.

Explanation:

The volume of a triangular pyramid can be calculated using the formula V = 1/3 × base area × height. Given that the base area is 330 square yards and the height of the pyramid is 18 yards, we can calculate the volume by substituting these values into the formula: V = 1/3 × 330 × 18 = 1980 cubic yards. Therefore, the correct answer is C. 1,980 yd³.

The volume of the triangular pyramid is 1,980 cubic yards, making the correct answer option C.

To find the volume of the triangular pyramid, we first need to determine the area of the base triangle. Since the base has an area of 330 square yards, we can use the formula for the area of a triangle, which is 1/2 * base * height. Let's denote the base of the triangle as b and the height as h. We can rearrange the formula to solve for b:

[tex]\[ 330 = \frac{1}{2} \times b \times h \][/tex]

Given that the height of the pyramid is 18 yards, we can plug this value in and solve for the base:

[tex]\[ 330 = \frac{1}{2} \times b \times 18 \][/tex]

330 = 9b

[tex]\[ b = \frac{330}{9} \][/tex]

b = 36.67

Now, we have the base length of the triangle. Next, we can calculate the volume of the pyramid using the formula for the volume of a pyramid, which is [tex]\( \frac{1}{3} \times base\ area \times height \)[/tex]. Let's denote the volume as V:

[tex]\[ V = \frac{1}{3} \times 330 \times 18 \][/tex]

V = 1980

So, the volume of the pyramid is 1980 cubic yards. Therefore, the correct answer is option C: 1,980 yd.

Answer:

Yes! I use this site all the time and my questions always get answered quickly!

Step-by-step explanation:

Final answer:

Brainly can be a good resource for interactive learning in Algebra. Key areas of study include algebraic expressions, equations, and graphing polynomials. Collaborative activities and practice are recommended for mastering these concepts.

Explanation:

It seems like you're looking for a good online resource to help with Algebra. Brainly can be a good choice for interactive learning and assistance.

When studying Algebra, some key areas you will explore include algebraic expressions, equations, exponents, number patterns, functions, finance and growth, trigonometry, analytical geometry, and statistics.

An excellent way to develop your algebra skills is through practice and application. This includes simplifying algebraic expressions by eliminating terms wherever possible and always checking if your answer is reasonable. Also, engaging in group activities can enhance your understanding as you discuss and solve problems collaboratively.

When learning about graphing polynomials, understanding how the shape of the curve changes as the constants are adjusted is crucial. This graphical perspective reinforces the algebraic concepts taught and provides a visual aid in comprehending the material.

Answer:

oats = (18/100)*(2 lb) = 0.36 lb

Step-by-step explanation:

x=-52

w=15

b=4.8

s=9.7

p=15

m=3.2

Q1.

[tex]x + 20 = - 32[/tex]

Add -20 to both sides of the equation.

[tex]x + 20 - 20 = - 32 - 20[/tex]

Simplify

[tex]x = - 52[/tex]

Q2.

[tex]w + 10 = 25[/tex]

Add -10 to both sides of the equation.

[tex]w + 10 - 10 = 25 - 10[/tex]

[tex]w = 15[/tex]

Q3.

[tex]7.2 + b = 12[/tex]

Add -7.2 to both sides of the equation.

[tex] - 7.2 + 7.2 + b = 12 - 7.2[/tex]

[tex]b = 4.8[/tex]

Q4.

[tex]5.3 + s = 15[/tex]

Add -5.3 to both sides to get,

[tex]s + 5.3 - 5.3 = 15 - 5.3[/tex]

Simplify:

[tex]s = 9.7[/tex]

Q5.

[tex]p + ( - 25) = - 10[/tex]

Add 25 to both sides,

[tex]p - 25 + 25 = - 10 + 25[/tex]

[tex]p = 15[/tex]

Q6.

[tex]m + - 1.6 = -4.8[/tex]

Add 1.6 to both sides of the equation;

[tex]m + - 1.6 + 1.6 = - 4.8 + 1.6[/tex]

[tex]m = - 3.2[/tex]

Answer:

6.48074069841

Step-by-step explanation:

We can enter this on a calculator or can be estimated