Seven times the smaller

of two consectative even

integers

is the same as

-300 minus 4 times the

largor integer. Find the integers

Answer:

Option 2

Step-by-step explanation:

Parallelograms have 2 parallel sides, and Option 2 proves that AB and DC are equal, which makes sides AD and BC Parallel according to lines AE and EC.

Answer: ok it is 81/100.

Step-by-step explanation:Just add them together which gives you 81/100 .chnage 7/100 to 70/100 then combine 11/100 which equals 81/100.

:)

The graph of the given line is attached below.

We are given the line:-

y = (3/5)x - 4

We will find the x and y intercepts of the line to plot in the graph.

As the equation is already in the slope intercept form, we can write,

The y-intercept of the line is -4.

Hence, the coordinates of the point will be (0,-4).

To find the x - intercept of the line we will put y = 0 in the given line.

0 = (3/5)x - 4

4 = 3x/5

x = 20/3

The coordinates of the point will be (20/3,0).

We can plot these points to get the desired graph.

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Answer:

9/2

Step-by-step explanation:

Calculator

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

-------------------------

Use the formula for the sum of n terms of a GP:

And use the nth term formula:

We can rearrange the sum formula to solve for the first term:

Plugging in the given values, we get:

Therefore, the first term of the GP is 121.5.

Answer:

Here is the answer I got when I graphed the equation I got it correct so here it is: Hope this Helps!!!

Step-by-step explanation:

Draw a line exactly from 120 to the top of number 9 on the x axis labeled # of Books

PLEASE GIVE BRAINLIEST IF THIS HELPED!!!

THANKS!!!

Answer:

0.35

Step-by-step explanation

6 ) 2.1 (  0.35   <------- Quotient.

     18  

       30

       30

        ...

The Angles (4x + 7)° and [5(x - 4)]° are pair of vertical opposite angles, whicg are equal .

therefore,

The value of x in the given expression of angles will be 27.

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

Given that the two angles formed by the two intersecting lines are ( 4x + 7 ) and ( 5 ( x - 4 ). The value of x will be calculated as:-

The two angles are vertically opposite angles so they will be equal to each other.

( 4x + 7 ) =  ( 5 ( x - 4 )

4x + 7 = 5x - 20

5x - 4x = 20 + 7

x = 27

Therefore, the value of x in the given expression of angles will be 27.

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Answer:

i dont get it.....................................................................

Step-by-step explanation:

Answer:

Brooke finished faster

Step-by-step explanation:

Brooke: 60m(1 hr)+55m=115m

Lamont: 125m

Answer:

Brooke

Step-by-step explanation:

I25 minutes is 2 hours and 5 minutes. Brooke finished faster.

Answer:

\(x = -24\)

Step-by-step explanation:

Your question is not well presented

Given

\(\frac{2}{3}(\frac{1}{2}x + 12) = \frac{1}{2}(\frac{1}{3}x + 14) - 3\)

Required

Solve for x

\(\frac{2}{3}(\frac{1}{2}x + 12) = \frac{1}{2}(\frac{1}{3}x + 14) - 3\)

Open Brackets

\(\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x +\frac{1}{2}* 14 - 3\)

\(\frac{1}{3}x + \frac{2*12}{3} = \frac{1}{6}x +\frac{14}{2} - 3\)

\(\frac{1}{3}x + \frac{24}{3} = \frac{1}{6}x +\frac{14}{2} - 3\)

\(\frac{1}{3}x + 8 = \frac{1}{6}x +7 - 3\)

Collect Like Terms

\(\frac{1}{3}x - \frac{1}{6}x= 7 - 3 - 8\)

\(\frac{1}{3}x - \frac{1}{6}x= -4\)

Take LCM

\(\frac{2-1}{6}x= -4\)

\(\frac{1}{6}x= -4\)

Multiply both sides by 6

\(6*\frac{1}{6}x= -4*6\)

\(x= -4*6\)

\(x = -24\)

Answer: option A.  -24

Step-by-step explanation:

It looks like you're asked to compute

\(\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz\)

where C is parameterized by ⟨t, t, t⟩ with 0 ≤ t ≤ 1.

In other words, x = y = z = t, so dx = dy = dz = dt, and the integral reduces to

\(\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz = \int_0^1 t\,\mathrm dt + t\,\mathrm dt + t\,\mathrm dt \\\\ = 3 \int_0^1 t\,\mathrm dt \\\\ =\frac32t^2\bigg|_{t=0}^{t=1} \\\\ =\boxed{\frac32}\)

Answer:

A = 20%

B = 80%

Step-by-step explanation:

200/1000 people said Lombardi's, or:

since 1,000 = 100

and 200 = 20

then we can simplify this to

20/100 0r 20%

and if 100 people to the survey and 20/100 said Lombardi's,

that means 80% must have said Patsy's, because,

100 - 20 is the 80 percent of people who didn't vote for Lombardi's, and since Patsy's is the only other option, that means the other 80% voted for Patsy's.

So

20% said Lombardi's

and

80% said Patsy's!

to be honest, I think I like Patsy's more as well.

Mark Brainliest if this helped, and have a good day! :D

Answer:

a_n = 47 - 8n

Step-by-step explanation:

a_1 = 39

a_2 = 31

a_3 = 23

31 - 39 = -8

23 - 31 = -8

This is an arithmetic sequence with constant difference -8.

a_1 = 39

a_2 = 39 - 8

a_3 = 39 - 8 - 8 = 39 - 2(8)

a_4 = 39 - 8 - 8 - 8 = 39 - 3(8)

...

a_n = 39 - (n - 1)(8)

a_n = 39 - 8(n - 1)

a_n = 39 - 8n + 8

a_n = 47 - 8n

Answer:

\(a_n=47-8n\)

Step-by-step explanation:

Given sequence:

Calculate the differences between the terms:

\(39 \underset{-8}{\longrightarrow} 31 \underset{-8}{\longrightarrow} 23\)

As the differences are constant (the same), this is an arithmetic sequence with:

\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\end{minipage}}\)

Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:

\(\implies a_n=39+(n-1)(-8)\)

\(\implies a_n=39-8n+8\)

\(\implies a_n=47-8n\)

The value of the ratio based on the angle illustrated is 1:12.

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

A

Step-by-step explanation:

I got it right

People want things that have value. Take away the value, and people will not want them. Therefore, the correct option is option A.

A passage is indeed a continuous section of text inside a written work. It may only contain a few phrases, or it might consist of numerous paragraphs. Typically, a passage serves a specific function, like as establishing the scene and introducing the characters, giving background knowledge, progressing the plot, and delivering conversation.

Expository texts are written to explain concepts or impart knowledge. These can frequently be found in nonfiction books on history, biographies, or textbooks. They may additionally be found in works of fiction, though.  the main idea of the passage is people want things that have value. Take away the value, and people will not want them.

Therefore, the correct option is option A.

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Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

The equations which are equivalent to Negative one-fourth (x) + three-fourths = 12 are:

Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12

StartFraction negative x + 3 over 4 EndFraction = 12

(StartFraction negative x over 4 EndFraction + three-fourths = 12

Given equation is,

Negative one-fourth (x) + three-fourths = 12

This can be written numerically as,

-1/4 x + 3/4 = 12

-x/4 + 3/4 = 12, which is the last option.

This can be written as,

-1 (x/4) + 3/4 = 12, which is the second option.

Since the denominators are same in left hand side, adding the fractions, we get,

(-x + 3) / 4 = 12, which is the third option.

Hence the second, third and last options are equivalent equations.

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The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.

In this problem we have a cubic equation and the nature of their roots must be inferred according to a algebraic method.

Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, there is a method to infer the nature of the roots of such polynomials: The discriminant from Cardano's method, an analytical method used to solve polynomials of the form a · x³ + b · x² + c · x + d = 0.

The discriminant is described below:

Δ = 18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d²      (1)

Where:

If we know that a = 1, b = 2, c = 4 and d = 8, then the nature of the roots is:

Δ = 18 · 1 · 2 · 4 · 8 - 4 · 2³ · 8 + 2² · 4² - 4 · 1 · 4³ - 27 · 1² · 8²

Δ = - 1024

The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

Step-by-step explanation:

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

We have,

The volume of the can = The volume of the cylinder - The volume of the three tennis balls.

The volume of the cylinder.

V(cylinder) = πr²h

where r is the radius and h is the height of the cylinder.

Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.

= 3 × 2(3.5 cm)

= 21 cm.

V(cylinder)

= π (3.5 cm)² (21 cm)

= 2709.38 cm³

The volume of one tennis ball.

V (ball) = (4/3)πr³

where r is the radius of the tennis ball. Thus,

V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³

The total volume of the three tennis balls is:

V(3balls) = 3 V(ball)

= 3(4/3) π (3.5 cm)³

= 538.782 cm³

The volume of the can not be occupied by tennis balls.

V(not occupied) = V(cylinder) - V(3 balls)

= 2709.38 - 538.782

= 2170.598 cm³

The percentage of the can that is not occupied by tennis balls.

percentage = (V(not occupied / V(cylinder)) × 100%

= (2170.598 cm^3/2709.38 cm^3) × 100%

= 80.14%

Therefore,

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

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