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2 years ago

Is the given value a solution to the equation?

Mathematics

2 answers:

Lostsunrise [7]2 years ago

5 0

Answer:

Yes, this is the correct equation for the solution!!

Step-by-step explanation:

Have a nice day and stay safe <3

svp [43]2 years ago

3 0

Yes 8-3=-4+9. 8-3=5. -4+9=5

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The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal l

34kurt

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temp. 174 176 177 178 178 179 180 181

Ratio 0.86 1.31 1.42 1.01 1.15 1.02 1.00 1.74

Temp. 184 184 184 184 184 185 185 186

Ratio 1.43 1.70 1.57 2.13 2.25 0.76 1.37 0.94

Temp. 186 186 186 188 188 189 190 192

Ratio 1.85 2.02 2.64 1.53 2.48 2.90 1.79 3.16

Using the online linear regression calculator, the lie of best fit which models the data above is :

ŷ = 0.09386X - 15.55523

Where ;

X = independent variable

ŷ = predicted or dependent variable

- 15.55523 = intercept

0.09386 = gradient / slope

Point estimate when tank temperature is 186

ŷ = 0.09386(186) - 15.55523

ŷ = 17.45796 - 15.55523

ŷ = 1.90273

Residual error (y - ŷ), ŷ = 1.90273 when x = 186

(0.94 - 1.90273) = −0.96273

(1.85 - 1.90273) = −0.05273

(2.02 - 1.90273) = 0.11727

(2.64 - 1.90273) = 0.73727

To determine the proportion of observed variation in efficiency ratio, we find the Coefficient of determination R^2, which can be found using the online Coefficient of determination calculator : the r^2 value obtained is 0.4433.

5 0

2 years ago

Find the slope of the line that passes through (23, -30) and (-7, 18).

babymother [125]

Answer:

slope = - $\frac{8}{5}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)

m = $\frac{18-(-30)}{-7-23}$ = $\frac{18+30}{-30}$ = $\frac{48}{-30}$ = - $\frac{8}{5}$

6 0

2 years ago

Solve. Use the strategy "work backward."

cestrela7 [59]

Let that be x

ATQ

$\\ \rm\Rrightarrow 3x-6/5=9$

Arrange accordingly to work backwards(Every thing is reversed)

$\\ \rm\Rrightarrow 9(5)+6/3=x$

$\\ \rm\Rrightarrow 45+6/3=x$

$\\ \rm\Rrightarrow 51/3=x$

$\\ \rm\Rrightarrow x=17$

8 0

2 years ago

(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

2 years ago

This purse is roughly a trapezoid. The bottom base is 16 inches long. The top base is 10. It stands 13 inches tall. The latch is

balandron [24]

To find the amount of fabric for one side of the purse you will find the area of the trapezoidal space that is created. The latch is on the top, so the 2 in is not necessary information.

A = 1/2 h(b1 + b2)
1/2 x 13 x (10 + 16)
A = 169 square inches of fabric will be needed.

3 0

2 years ago