Ms. Clark is building a patio that is 4 yards long and 3 yards wide. She has enough bricks to cover an area of 14 square yards. Does Ms. Clark have enough bricks to build the patio? Explain.​

Answer:

x = 3

Step-by-step explanation:

f(x) = g(x)

[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]

9(x - 3)(x - 3) = 0

x = 3

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

9514 1404 393

Answer:

Step-by-step explanation:

Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...

  10c +2(40 -c) = 7(40)

  8c +80 = 280 . . . . simplify

  c +10 = 35 . . . . . . . divide by 8

  c = 25 . . . . . . . . . . subtract 10

  40-c = 40-25 = 15 . . . . pounds of peanuts

25 pounds of cashews and 15 pounds of peanuts should be used in the mix.

Answer:

k =  6 : 5 : 4

Step-by-step explanation:

BC : AB : AC = 18 : 15 : 12 = 6 : 5 : 4

EF : DE : DF = 12 : 10 : 8 = 6 : 5 : 4

Answer:

2.6x + 10.5 = 31.3

Step-by-step explanation:

Answer:

[tex]2\frac{2}{3}[/tex] cubic blocks

Step-by-step explanation:

The given parameters are:

[tex]Length = \frac{1}{2}yd[/tex]

[tex]Width = 16yd[/tex]

[tex]Height =\frac{1}{3}yd[/tex]

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]

[tex]Volume = \frac{16}{6}[/tex]

Simplify

[tex]Volume = \frac{8}{3}[/tex]

Express as mixed numbers

[tex]Volume = 2\frac{2}{3}yd^3[/tex]

Step-by-step explanation:

There is a difference between the numbers that is 6

So...

y=6x+5

Answer:

6x+5

Step-by-step explanation:

1 x 6=6+5=11

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Same side interior angles are supplementary

Answer:

[tex]PC = 0.333[/tex]

Step-by-step explanation:

Given

[tex]AB = 5[/tex]

[tex]AP = 4[/tex]

[tex]DP =12\\[/tex]

See attachment

Required

Find PC

When two chords intersect, the product of the segments are always equal.

In chord DC, the segments are DP and PC

In chord AB, the segments are AP and PB

So:

[tex]DP * PC = AP * PB[/tex]

This gives:

[tex]12 * PC = 4 * PB[/tex] --- (1)

In chord AB, we have:

[tex]AB = AP + PB[/tex]

Make PB the subject

[tex]PB = AB - AP[/tex]

This becomes

[tex]PB = 5 - 4[/tex]

[tex]PB = 1[/tex]

[tex]12 * PC = 4 * PB[/tex] --- (1) becomes

[tex]12 * PC = 4 * 1[/tex]

[tex]12 * PC = 4[/tex]

Make PC the subject

[tex]PC = \frac{4}{12}[/tex]

[tex]PC = 0.333[/tex]

Answer:

I would day option B does

Answer:

A is the correct answer

Step-by-step explanation:

let the time taken to be filled by both pipes be y

1/2 +1/8=1/y

(4+1)/8=1/y

5/8=y

cross multiplying

5y=8

y=8/5

=1.6hrs

Answer:

weight of raisins : 40

Step-by-step explanation:

nuts : raisins : oats

3:2:5= 60: ? : ?

60÷3 = 20

raisins : 2×20 = 40

Answer:

1st of column 1

and

3rd of column 2

Answer:

B

Step-by-step explanation:

1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal

Answer:

-4 5/12

Step-by-step explanation:

Answer:

2*10^4

I can't see the question..

[tex]4*10^6[/tex] = 4000000

[tex]2*10^2[/tex] = 200

4000000/200 = 20000

20000 = [tex]2*10^4[/tex]

Step-by-step explanation:

I hope this helps!

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

Step-by-step explanation:

19.9 is the age of the tree.

divide the circumference with 3.142 .

hope this helps you☺️☺️

Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Answer:

x = 12, x = -4.

Step-by-step explanation:

x² - 8x - 48 = 0.

This factors to (x - 12)(x + 4) = 0.

Proof:

(x - 12)(x + 4) = 0

first: x * x

outer: 4 * x

inner: -12 * x

last: -48.

first: x²

outer: 4x

inner: -12x

last: -48

x² + 4x - 12x - 48

x² - 8x - 48.

To find the zeros, take the individual pairs and find the values that make the equation 0.

x - 12 = 0

Add 12 to both sides.

x = 12.

x + 4 = 0

Subtract 4 from both sides.

x = -4.

Answer:

x= 4 + 2√5, x = 4 - 2√5

Step-by-step explanation:

So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

Answer:

i think its 22.22 thats my guess

Answer:

[tex]\frac{1}{45}[/tex] kilometers

Step-by-step explanation:

60 minutes = 3600 seconds

[tex]\frac{40}{3600} =\frac{y}{2}[/tex]

3600y = 80

3600y ÷ 3600 = 80 ÷ 3600

[tex]y=\frac{1}{45}[/tex]

Answer:

2c^3

Step-by-step explanation:

The greatest common divisor of 6 and 10 are 2

The factors that are common to 6c^3, 10c^4 would be 2ccc

Simplify that and you have 2c^3

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

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

[tex] 1\frac{1}{2} [/tex]

is your answer.

Answer:

The magnitude of the number is of 26.

Step-by-step explanation:

Magnitude of a complex number:

A complex number has the following format: a + bi

In which a is the real coefficient and b is the imaginary coefficient.

The magnitude of the number is:

[tex]\sqrt{a^2+b^2}[/tex]

What is the magnitude of -10 + 24i?

For this number, a = -10, b = 24. So

[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]

The magnitude of the number is of 26.

Answer:

Stoplight (75*$900) + (120*$600) + (3805 * $0) = $139500

Stopsign (95*$700) + (155*$200) + (3750* $0) = $97500

Step-by-step explanation:

To minimize damage, a stop sign should be installed.

Answer:

given;

f(x) = 5x+3

g(x) = x²-3.

Step-by-step explanation:

a f(4)=5×4+3=23

b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12

C). g( f (2))=g(5×2+3)=13²-3=166

Answer:

Th final equation is [tex]Y = 2X^2 -3[/tex]

The graph is attached

Step-by-step explanation:

Given

[tex]X = \sqrt{t} \\t = X^2[/tex] --- Eq (1)

and [tex]Y = 2t -3[/tex] --- Eq (2)

Substituting the value of "t" from Eq (1) into Eq (2), we get -

[tex]Y = 2X^2 -3[/tex]

The graph for the equation is attached here with

The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have parametric functions:

x = √t ⇒ x² = t

y = 2t—3

Plug t = x² in the other equation, we get:

y = 2x² - 3

The graph will be a parabola.

Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

Learn more about the parametric function here:

brainly.com/question/10271163

#SPJ5

Answer:

50

Step-by-step explanation:

there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even