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3 years ago

Write as an algebraic expression and simplify if possible: A number four more than 45% of d.

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Answer:

0.45d + 4

Step-by-step explanation:

45% of d => 0.45d

Then a number 4 more is gonna be 0.45d + 4

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CAN SOMEONE PLEASE FIND THE VOLUME AND SURFACE AREA OF THIS FIGURE.

tekilochka [14]

Answer:

<h2>Volume = 1659.84</h2><h2>Surface area = 1205.36</h2>

Step-by-step explanation:

Volume for triangular prism = 1/2 * b * l * h

we are given the length and the height but not the base.

since it is a right triangle we can use the Pythagorean theorem a^2 + b^2 = c^2

13.3^2 + b^2 = 20.5^2

176.89 + b^2 = 420.25

b^2 = 243.36

b = $\sqrt{243.36}$ = 15.6

1/2 (15.6)(13.3)(16) = 1659.84

Front: 15.6 x 13.3 = 207.48

Back: 15.6 x 13.3 = 207.48

Left: 15.6 x 16 = 249.6

Right: 13.3 x 16 = 212.8

Bottom: 20.5 x 16 = 328

207.48 + 207.48 + 249.6 + 212.8 + 328 = 1205.36

6 0

3 years ago

Please help me and show your work thank you

Furkat [3]

Answer:

She has walked <u>7233.6 ft</u>

Step-by-step explanation:

13.7 miles ÷ 10 = 1.37 miles

1 mile = 5280 ft

5280 x 1.37 = 7233.6 ft (or 7234 if rounded to the nearest ft)

6 0

3 years ago

Which net represents this solid figure?

Alex

Answer: what figure

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

(1 point) Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative dPd

monitta

Answer:

$P(t)=M+Ce^{-kt}$

Step-by-step explanation:

Given the differential model

$\dfrac{dP}{dt}=k[M-P(t)]$

We are required to solve the equation for P(t).

$\dfrac{dP}{dt}=kM-kP(t)\\$Add kP(t) to both sides\\\dfrac{dP}{dt}+kP(t)=kM\\$Taking the integrating factor\\e^{\int k dt} =e^{kt}\\$Multiply all through by the integrating factor\\\dfrac{dP}{dt}e^{kt}+kP(t)e^{kt}=kMe^{kt}\\\dfrac{dP}{dt}e^{kt}=kMe^{kt}\\(Pe^{kt})'=kMe^{kt} dt\\$Take the integral of both sides with respect to t\\\int (Pe^{kt})'=\int kMe^{kt} dt\\Pe^{kt}=kM \int e^{kt} dt\\Pe^{kt}=\dfrac{kM}{k} e^{kt} + C_0, C_0$ a constant of integration$

$Pe^{kt}=Me^{kt} + C\\$Divide both side by e^{kt}\\P(t)=M+Ce^{-kt}\\P(t)=M+Ce^{-kt}\\$Therefore:\\P(t)=M+Ce^{-kt}$

4 0

3 years ago

I need help I haven't learned this yet so can someone please help 15= _x5

docker41 [41]

Answer:

Step-by-step explanation:

15+ _ x 5

15 divided by 5 = 3

3 x 5= 15

3 0

3 years ago