The sum of twice a number and seven is twenty five

Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 6, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d

evablogger [386]

$y=2x+1\\\\\dfrac{dy}{dt}=2\dfrac{dx}{dt}$

(a) For dx/dt=6, dy/dt = 2·6 = 12

(b) For dy/dt=2, 2 = 2·dx/dt ⇒ dx/dt = 1

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The value of x is irrelevant for this question.

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If your function is 2^x +1 or 2^(x +1), it needs to be written as such. The answer above applies to the function given.

7 0

3 years ago

This Is Graded, Please Help TYSM!

olchik [2.2K]

Answer: For the cirlces since I already answered the triangles

1. Area:660.519855417

Circumference:91.1061869541

2. Area: 572.555261117

Circumference:84.8230016469

3. Area:283.528736986

Circumference:59.6902604182

4. Area:1017.87601976

Circumference:113.097335529

5. Area: 63.6172512352

Circumference: 28.2743338823

6. Area:380.132711084

Circumference:69.115038379

Step-by-step explanation:

The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is π*r*2, or π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.

4 0

3 years ago

Kyle wants to compare 0.02 to 1/4 using fractions. Which fraction can you use for 0.02?

Crazy boy [7]

Answer:

$\frac{1}{50}$

Step-by-step explanation:

$\text{Kyle wants to compare 0.02 to }\frac{1}{4} \text{ using fractions}\\\\\text{we need to convert 0.02 into fractional form.}\\\\\text{to convert a decimal into fractional form we divide by }10^n,\\\text{where n is the number of digits after decimal, and remove decimals}\\\text{from the number.}\\$

$\text{here in 0.02, we can see that the number of digits ater decimal is 2,}\\\text{so to convert it into fractional form, we get}\\\\0.02=\frac{2}{10^2}\\\\=\frac{2}{100}\\\\=\frac{1}{50}\\\\\text{so in decimal form, we can write 0.02 as }\frac{1}{50}\\$

3 0

3 years ago

What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3

Georgia [21]

Answer:

9

Step-by-step explanation:

6.4(x)+2.8y=44.4

6.4(3)+2.8y=44.4

19.2+2.8y=44.4

2.8y=25.2

y=9

7 0

3 years ago

Read 2 more answers

How do I solve step by step and the answer to lnX=4.3657

Harman [31]

$\bf ln(x)=4.3657\iff log_e(x)=4.3657\\\\
-----------------------------\\\\
{{ a}}^{log_{{ a}}x}=x\impliedby \textit{log cancellation rule}\\\\
-----------------------------\\\\
e^{log_e(x)}=e^{4.3657}\implies x=e^{4.3657}$

now, for the other, we use the same cancellation rule

$\bf ln(3x)=6\iff log_e(3x)=6\implies e^{log_e(3x)}=e^{6}
\\\\\\
3x=e^6\implies x=\cfrac{e^6}{3}$

3 0

3 years ago