HELP PLEASE FOR 20 POINTS!!
Toby is x years old. Seth is y years old. Seth is three years less than twice as old as Toby. Which equation correctly relates the ages of Toby and Seth?

!!!!IF YOU GIVE ME A LINK OR NOT THE ANSWER ILL REPORT!!!!!!

[tex]\text{Given that,}\\\\\log_b x =2,~~ \log_b y=5,~~ \log_b z = 4\\\\\\\log_b(x\cdot y)\\\\=\log_b x + \log_b y~~~~~~~~~~~~~~~;[\log_b(MN) = \log_b M+ \log_b N ] \\\\=2+5\\\\=7\\\\\\\log_b\left( \dfrac{xy^2}{z^2}\right)\\\\=\log_b (xy^2) - \log_b z^2~~~~~~~~~~;\left[\log_b\left(\dfrac MN \right) = \log_b M - \log_b N \right] \\\\=\log_b x +\log_b y^2 - 2\log_b z\\\\=\log_b x + 2 \log_b y - 2 \log_b z\\\\=2+2 \cdot5 - 2 \cdot 4\\\\=2+10-8\\\\=10-6\\\\=4[/tex]

Answer:

18

Step-by-step explanation:

If you x 12x6 the area would get you 72 you already used 6 and 12 you just times 6x3 and that gets 18. If this didnt help im sorry!

Answer:

  about 626.1 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle. The given angle is opposite the given side, and we are asked to find the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

__

Solving for the hypotenuse, we get ...

  Hypotenuse = Opposite/Sin

  cable length = (balloon height)/sin(53°) = (500 ft)/0.79864

  cable length ≈ 626.1 ft

Answer: 0.11

Step-by-step explanation:

I hope i helped TvT

Answer:

3.75.../ $1

Step-by-step explanation:

25 ounces ÷ 6.65

6.65 dollars ÷ 6.65

=

3.759398 ounces/1 dollar

Answer:

w = 10√2

y = 20

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

Therefore, the triangle on the left (with side length 10) is a right triangle,
since 180° - 45°- 45° = 90°

As this triangle is also an isosceles triangle (since it has 2 equal angles), then it will have 2 sides of the same length.  
So the legs of the right triangle are both 10 units.

Using Pythagoras' Theorem to calculate the hypotenuse of this triangle:

⇒ 10² + 10² = c²

⇒ 200 = c²

⇒ c = √200

⇒ c = 10√2

The triangle with side w and base y is also isosceles triangle with base angles of 45°.

Therefore, the sides are equal in length.

So w = hypotenuse of the left triangle = 10√2

We know that the horizontal distance between the left base vertex and the top vertex of this triangle is 10, therefore y = 10 + 10 = 20

The expression that represents the volume of the prism is x²(x-2).

Given side of the base =[tex]x[/tex]

So, the area of the base =[tex]x^{2}[/tex]

Given the height of the prism = [tex]x-2[/tex]

The volume of the prism with base area A and height h is Ah.

So, the volume of the given prism with the base area [tex]x^{2}[/tex] and height [tex](x-2)[/tex] will be:

V= [tex]x^{2} *(x-2)[/tex]

V= [tex]x^{2} (x-2)[/tex]

Hence, the expression that represents the volume of the prism is x²(x-2).

To get more about prisms visit:

https://brainly.com/question/23963432

Answer:

its C trust me

Step-by-step explanation:

The weight of each of the two piles Tineka split the jellybeans in the sack to is 7/24 lb.

Division is when two numbers are grouped into equal parts using another number. The sign used to denote division is ÷.

In order to determine the weight of each pile, divide the weight of the sack by 2.

Weight of each sack = 7/12 ÷ 2

7/12 x 1/2 = 7/24

To learn more about division, please check: https://brainly.com/question/13281206

Using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

Fractions can be referred to as a part of a whole number.

The following are the information given that was omitted:

1 grid having 10 equal columns. 5 are shaded.

This can be expressed as a fraction, as 5/10.

Another identical grid shows, 100 squares with 3 of them shaded, which can be represented in fraction, as 3/100.

The model for the addition problem would be solved as:

3/100 + 5/10 = 53/100

Therefore, using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

Learn more about fractions on:

https://brainly.com/question/26916131

(1) A  quadratic equation that models the path of the golf ball, is 16.0850t² - 110.560t - 190 = 0.

(2) The angle the ball takes off is 64.4⁰.

The equation that models the motion of the gofl ball is calculated as follows;

Vf² = V₀² - 2gh

at maximum height, Vf = 0

V₀² = 2gh

V₀ = √2gh

V₀ = √(2 x 32.17 x 190)

V₀ = 110.56 ft/s

h = V₀t - ¹/₂gt²

-190 = 110.56t  - ¹/₂(32.17)t²

-190 = 110.56t - 16.0850t²

16.0850t² - 110.560t - 190 = 0

440 = Vxt

Vx = 440/t

The time of motion, t is determined as follows;

16.0850t² - 110.560t + 190 = 0

a = 16.0850, b = -110.560, c = 190, solve using formula method

t = 8.3 s

Vx = 440 /8.3

Vx = 53.01 ft/s

tan θ = (Vy) / (Vx)

tan θ = (110.56)/(53.01)

tan θ = 2.086

θ = tan⁻¹(2.086)

θ = 64.4⁰

Learn more about equation of motion here: https://brainly.com/question/25951773

Answer:

Acute

Step-by-step explanation:

Hope it helps you in your learning process.

Hello there.

What type of triangle is defined by the following set of side lengths

10, 9, 5

Answer:

Acute

Step-by-step explanation:

The triangle perimeter is the sum of the lengths of its three sides.

[tex]p=a+b+c=10+9+5=24[/tex]

The semiperimeter of the triangle is half its perimeter. The semiperimeter appears in formulas for triangles to be given a separate name. the triangle inequality, the longest side length of a triangle is less than the semi perimeter.

[tex]s=\frac{p}{2} =\frac{24}{2} =12[/tex]

using Heron's formula

Heron's formula gives the area of a triangle when the length of all three sides is known.

[tex]T=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]T=\sqrt{12(12-10)(12-9)(12-5)}[/tex]

[tex]T=\sqrt{504}=22.45[/tex]

There you go :) I even calculated it for you.

Hope this helps!

If you have any questions please ask.

Answer:

  3.9 cm²

Step-by-step explanation:

The area formula for a triangle when sides 'a' and 'b' and angle C are known is ...

  A = 1/2ab·sin(C)

__

The area of the specified triangle is ...

  A = 1/2(3.9 cm)(2.7 cm)sin(133°) ≈ 3.85058 cm²

The area of ΔLMN is about 3.9 square centimeters.

Answer:

1) 27

2) 63

Step-by-step explanation:

cos-1(17/38)= 63.425...= 63= angle C

90-63= 27=angle A

Answer:

Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Now, substitute a few more x -values in the equation to get the corresponding y -values.

x y=x2−7x+2

0 2

1 −4

2 −8

3 −10

5 −8

7 2

Plot the points and join them to get the parabola.

Answer:

-3

Step-by-step explanation:

10x=-33+3 isolate the variable

10x=-30 divide by 10

X=-3

x=-3

Hope it helps.

Do comment if you have any query.

Answer  70 = 7070

Step-by-step explanation: denotes how many times to multiply the base (70)

Answer:

4800

Step-by-step explanation:

→ Find how 15yr periods there are in 45 years

45 ÷ 15 = 3

→ Substitute this value as x into the equation

75 × 4³ = 4800

[tex]\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)[/tex]

Answer:

1.07142857143 (1 rounded)

Step-by-step explanation:

3/14 of 5 is 1.07142857143

Answer:

C

Step-by-step explanation:

a and b add to 180 degrees also known as a straight line

Answer:

supplimentarry

Step-by-step explanation:

add up to be 180

The pie chart of the number of text messages sent by the students represents the stem plot using a circle graph

The stem plot is given as:

0 | 37

1  | 0011223445 77 88 89

2 | 013557

From the above stem plot, we have the following frequency table

SMS        Frequency

0 - 9         2

10 - 19      16

20 - 29    6

Total       24

Next, we determine the relative frequency table

SMS        Frequency    Relative Frequency

0 - 9         2                           2/24 = 8.33%

10 - 19      16                          16/24 = 66.67%

20 - 29    6                            6/24 = 25.0%

Total       24                            100%

Next, we plot the pie chart

See attachment for the pie chart

Read more about stem plots at:

https://brainly.com/question/23616900

Answer:

2/6th or 1/3rd of the pie

Step-by-step explanation:

Subtract 2/6 from 2/3:  convert 2/3 to 4/6.  Then 4/6 less 2/6 is 2/6.

Matt ate 2/6th, or 1/3rd, more pie than did his mother.

Answer:

O C. x = 3, y = -6

Step-by-step explanation:

Take Equation 1 and equate to x.

Now, substitute in Equation 2.

Answer:

C)  x = 3, y = -6

Step-by-step explanation:

[tex]\textsf{Equation 1}:x-2y=15[/tex]

[tex]\textsf{Equation 2}:2x+4y=-18[/tex]

Rewrite Equation 1 to make x the subject:

[tex]\implies x=15+2y[/tex]

Substitute into Equation 2 and solve for y:

[tex]\implies 2(15+2y)+4y=-18[/tex]

[tex]\implies 30+4y+4y=-18[/tex]

[tex]\implies 8y=-48[/tex]

[tex]\implies y=-6[/tex]

Substitute found value of y into Equation 1 and solve for x:

[tex]\implies x-2(-6)=15[/tex]

[tex]\implies x+12=15[/tex]

[tex]\implies x=3[/tex]

Therefore, the solution to the system of equations is:

x = 3, y = -6

Answer:

3+3+6=12

Step-by-step explanation:

the sides are both3 and bottomed is 6

The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is  y = 27x - 4.

Table  showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given   y= 47 * 1.191ˣ     y= 34 * 1.204ˣ    y=26.9x - 1.3    y = 27x - 4

To Choose the model which best represents the data.

To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.

People Working   lines of code

2                             50

4                             110

6                            160

8                            210

10                           270

12                           320

x      y= 47 * 1.191ˣ    y= 34 * 1.204ˣ    y=26.9x - 1.3   y = 27x - 4

2       66.66               49.3                   52.5                 50

4       94.57               71.44                  106.3                104  

6      134.14                103.57               160.1                 158

8      190.27               150.14                213.9               212

10     269.91              217.64               267.7               266

12     382.85             315.5                  321.5               320.

Below    2              0                         4                        1

on line    0              0                         0                       2  

Above     4               6                         2                       3

Therefore  y = 27x - 4 is the best fit

To learn more about the scatterplot visit:

https://brainly.com/question/26270713

Answer:

y = 27x - 4

mark me as brainliest

Step-by-step explanation:

It is Given that two lines segment, AC and BD bisect each other at C.

The missing statement is ∠ACB ≅ ∠ECD

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given two lines segment, AC and BD bisect each other at C.

We have to prove that ΔACB ≅ ΔECD

In triangle ACB and ECD

AC=CE    (Given)

BC=CD   (Given)

so, as seen in options the angle ∠ACB ≅ ∠ECD due to vertically opposite angles

hence, the missing statement is ∠ACB ≅ ∠ECD

Learn more about triangles;

https://brainly.com/question/2773823

#SPJ1

Answer:

C.∠ACB ≅ ∠ECD

Step-by-step explanation:

Step-by-step explanation:

For Slant Height (l)

(l)^2=(3)^2+(4)^2

Using Pythagoras Theroem,

(l)^2=9+16

(l)^2=25

l=5cm

For lateral surface area (pi*r*l)

pi*4*5

20pi cm^2

The lateral area of the cone in terms of π, given that the cone has a radius of 4 cm is 20π cm²

First, we shall obtain the slant height of the cone. This is shown below:

L² = r² + h²

L² = 4² + 3²

L² = 16 + 9

L² = 25

Take the square root of both side

L = √25

= 5 cm

Finally, we shall obtain the lateral area of the cone. This is shown below:

LA = πrL

= π × 4 × 5

= 20π cm²

Thus, the lateral area of the cone is 20π cm²

Learn more about lateral area of cone:

https://brainly.com/question/27344591

#SPJ2