Rob was tasked to graph this system of equations:

6x + 2y = 5
y + 3x = 2

How many times will these lines intersect?​

9514 1404 393

Answer:

  4.4 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

For the given dimensions, the volume is ...

  V = 1/3π(1.2 in)²(2.9 in) = 1.392π in³ ≈ 4.4 in³

Answer:

A. horizontal because -4 and -4 are on the same line... it's coordinate planes it's always over then up so your line will be horizontal going from 3 to 14

Answer:

76/100 or simplified into 19/25

Answer:

Step-by-step explanation:

76/100

Answer:

1. D

2.C

3.B

4. A

Step-by-step explanation:

:D

Answer:

1. the top one is connected to the bottom

2. is connected to the third one

3. is connected to the second one

4. is connected to the first

Step-by-step explanation:

look below

Answer:

[tex]\frac{13}{204}[/tex] ≈ 0.0637

Step-by-step explanation:

Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.

To find: probability of choosing a heart and then, without replacement, a spade

Solution:

Probability refers to chance of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of outcomes

Total number of cards = 52

Number of hearts = 13

So,

probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]

Number of remaining cards = [tex]52-1=51[/tex]

Number of spades = 13

Probability of choosing a spade = [tex]\frac{13}{51}[/tex]

Events consisting of choosing a heart and spade are independent.

So,

Probability of choosing a heart and then, without replacement, a spade =

Probability of choosing a heart × Probability of choosing a spade

= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637

Answer:

Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water

Step-by-step explanation:

The number of of specimen in the samples of untreated water, n₁ = 16

The sample mean, [tex]\overline x_1[/tex] = 228.0

The sample standard deviation, s₁ = 4.3

The number of of specimen in the samples of treated water, n₂ = 20

The sample mean, [tex]\overline x_2[/tex] = 224.6

The sample standard deviation, s₂ = 5.0

The level of significance = 0.10

The null hypothesis, H₀; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ;  [tex]\overline x_1[/tex] < [tex]\overline x_2[/tex]

The degrees of freedom = 16 - 1 = 15

The test statistic, [tex]t_{\alpha}[/tex] = 1.341

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Plugging in the values, we get;

[tex]t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675[/tex]

Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]

Answer:

Step-by-step explanation:

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

vertex form of quadratic equation:

therefore

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

[tex]3 = a(1 {)}^{2} + 4[/tex]

simplify exponent:

[tex]3 = a + 4[/tex]

therefore

[tex]a = - 1[/tex]

our vertex form of quadratic equation is

let's simplify it to standard form

simplify square:

[tex]y = - ( {x}^{2} + 2x + 1) + 4[/tex]

simplify parentheses:

[tex]y = - {x}^{2} - 2x - 1 + 4[/tex]

simplify addition:

[tex]y = - {x}^{2} - 2x + 3[/tex]

therefore our answer is D)y=-x²-2x+3

the domain of the function

[tex]x\in \mathbb{R}[/tex]

and the range of the function is

[tex]y\leqslant 4[/tex]

zeroes of the function:

[tex] - {x}^{2} - 2x + 3 = 0[/tex]

[tex] \sf divide \: both \: sides \: by \: - 1[/tex]

[tex] {x}^{2} + 2x - 3 = 0[/tex]

[tex] \implies \: {x}^{2} + 3x - x + 3 = 0[/tex]

factor out x and -1 respectively:

[tex] \sf \implies \: x(x + 3) - 1(x + 3 )= 0[/tex]

group:

[tex] \implies \: (x - 1)(x + 3) = 0[/tex]

therefore

[tex] \begin{cases} x_{1} = 1 \\ x_{2} = - 3\end{cases}[/tex]

Answer:

c = 31.5

Step-by-step explanation:

Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is

c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation

To find k use the condition c = 14 when d = 64, then

14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )

1.75 = k

c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation

When d = 324 , then

c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5

Answer:

a(t)= 2000(1+r)^T

*make sure to add the power to t

a(t)=2000(1+.10)^5

= 3221.02

Hope this helps!

The exponential decay function is given by  y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.

In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)ˣ wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

Given here: The value of the stock in 2012 was $2000 and the value decreases each year by 10%

We know the exponential decay is given by  y=a(1-b)ˣ

where x is the number of years and 1-b is the decreasing factor

Thus based on the given information we can construct the exponential decay function as y=2000(1-10%)ˣ

or y=2000×0.9ˣ

Therefor in 5 years i.e in 2017 the stock will be worth

y=2000×0.9⁵

=$1180.98

Hence, The exponential decay function is given by  y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.

Learn more about functions here:

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Answer:

akuy3uwujwu

Step-by-step explanation:

uwoedihwo

Answer:

Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.

HOPE IT HELPS...

HAVE A GREAT DAY : P

Answer:

0 solutions

Step-by-step explanation:

parallel lines have no solutions because they never intersect.

Answer:

[tex] 128 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft

[tex] = 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2} [/tex]

ans.................

Answer:

dff

Step-by-step explanation:

saf

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that

Answer:

12000 meters

Step-by-step explanation:

Answer:

12,000 m

Step-by-step explanation:

1 km = 1000 m

12 km = 12 * 1 km = 12 * 1000 m = 12,000 m

Answer:

Stratified random

Step-by-step explanation:

got it right

Answer:

C

Step-by-step explanation:

Answer:

15.9

Step-by-step explanation:

Formula:

a² + b² = c²

6² + x² = 17²

36 + x² = 289

x² = 253

[tex]\sqrt{x^2} =\sqrt{253}[/tex]

x = 15.91

The value of x will be equal to x = 15.9.

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Given that the sides of the triangle are,

a = 6,

b = x

c = 17

The value of x will be calculated as,

a² + b² = c²

6² + x² = 17²

36 + x² = 289

x² = 253

x = 15.91

Therefore, the value of x will be equal to 15.91.

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Answer:

Only one solution

Step-by-step explanation:

Given:

2c + 4 - 3c = -9 + c + 5

Find:

Number of solution

Computation:

2c + 4 - 3c = -9 + c + 5

-c + 4 = -4 + c

-2c = -8

c = 4

Only one solution

Answer:

1. adjacent

2. vertical

3. adjacent

4. vertical

Step-by-step explanation:

1. adjacent - 2 angles are next to each other

2. vertical - 2 angles are opposite each other

3. adjacent - 2 angles are next to each other

4. vertical - 2 angles are opposite each other

Answer:

Absolute Maximum: (0.2 , 80.2)

Absolute Minimum: (4 , 8 )

Step-by-step explanation:

Complete question:

When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.

How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units

Answer:

we have 25 and 55 cartons of each product

Step-by-step explanation:

we have number of carton = 10 x 8 = 80

each level has 10, and leves are 8 high

two types of product packages,

we call them w and x

w + x = 80 ------ equation 1

w has 3 pounds weight

x has 5 pounds weight

3*w +5*x

3w + 5x

total weight = 325

we subtract weight of pallet 35

= 325 - 35 = 290

3w + 5x = 290-------- equation 2

we have two equations

w + x = 80------(1)

3w + 5x = 290-------(2)

from equation 1,

w = 80 - x

put this value above in equation 2

3(80-x) + 5x = 290

240-3x+5x = 290

240+2x = 290

2x = 290-240

2x = 50

divide through by 2

x = 25

put value of x in equation 1

w + 25 = 80

w = 80-25

w = 55

so we have 55 cartons of w and 25 cartons of product x

Answer:

21

Step-by-step explanation:

84/12=7x3=21