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anastassius [24]
3 years ago
7

Find the value of the expression 4a to the fourth power - 2b squared +40 when a =2 and b=7

Mathematics
1 answer:
Tom [10]3 years ago
3 0
4a^4 -2b^2 +40
a=2
b=7
4(2)^4 -2(7)^2 +40
PEMDAS is what your gonna use to solve this you go from right to left

First is P which is parentheses which is none
second is E which stands for exponents
4(32)-2(49)+40
now MD multiply or divide
128-98+40
now add or subtract
30+40
last one 
70 this is your answer i hope

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Given: <SPT = <RQT, ST = RT Prove: PR = QS​
andrey2020 [161]

Answer:

See explanation

Step-by-step explanation:

Consider triangles PTS and QTR. In these triangles,

  • ST=RT - given;
  • \angle SPT=\angle RQT - given;
  • \angle STP=\angle RTQ - as vertical angles when lines PR and SQ intersect.

Thus, \triangle PTS\cong \triangle QTR by AAS postulate.

Congruent triangles have congruent corresponding sides, so

PT=QT

Consider segments PR and QS:

PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}]

So,

PR=SQ\ [\text{Substitution property}]

7 0
2 years ago
How to calculate concentration with just the absorbance and % transmittance measurements from a spectrometer? ​
Natali [406]

Answer:

A=ε*l*c

A= 2- log₁₀ % T

Step-by-step explanation:

There is a linear relationship between the concentration of a sample and absorbance according to Beer-Lambert Law.

A=ε*l*c

where;

A=absorbance

ε=absorption coefficient

l=path length

c=concentration

Because % transmittance is transmittance value multiplied by 100 then, the equation that will allow us calculate absorbance from % transmittance value will be;

A= 2- log₁₀ % T where T is transmittance.

8 0
2 years ago
Calculate the value of x to one decimal place. a0inches
gtnhenbr [62]

Answer:

Step-by-step eNow examine the right triangle on the left in the figure.

x%2F10=sin%2850%29, in reference to the 50 degree angle, hypotenuse is that slanted segment of 10 units, and "x" is the opposite side from the 50 degree angle.

7 0
3 years ago
A fitness center currently has 320 members. Monthly membership fees are $45. The manager of the fitness center has determined th
murzikaleks [220]

Are we subtracting the total or ? What's the question. , If so that would be 310 members as of the $5 raise in fees

3 0
3 years ago
Find the volume of the composite figure. Round your answer to the nearest hundredth
pishuonlain [190]

Answer:

The volume of the figure is 590.71 mm³

Step-by-step explanation:

To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 3.65mm

π = 3.14

r = radius = 3.2mm

v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (3.2mm)²) * 3.65mm

v = (3.14 * 10.24mm²) * 3.65mm

v = 32.1536² * 3.65mm

v = 117.36mm³

To calculate the volume of a rectangular prism we have to use the following formula:

v = volume

w = width  = 14.23mm

l = length  = 10.08mm

h = height  = 3.3mm

v = w * h * l

we replace the values that ​​we know        

v = 14.23mm * 10.08mm * 3.3mm

v = 473.347mm³

we add the volumes

v = 117.36mm³ + 473.347mm³

v = 590.707

round to the neares hundredth

v = 590.707 mm³ = 590.71 mm³

The volume of the figure is 590.71 mm³

3 0
3 years ago
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