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2 years ago

7

What value of p makes the equation true?

1 answer:

cluponka [151]2 years ago

7 0

Answer:

p = 1/8

Step-by-step explanation:

-3p + 1/8 = -1/4

-3p = -1/8 -14 /*8

-24p = -1 -2

-24p = -3 /:(-24)

p = 1/8

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the frame of a picture is 28 cm by 32 cm outside and is of uniform width.What is the width of the frame if 192 cm2 of the pictur

natita [175]

Answer:

The width of the frame is equal to $8\ cm$

Step-by-step explanation:

Let

x-------> the width of the frame picture

we know that

$(28-2x)(32-2x)=192$

$896-56x-64x+4x^{2} =192$

$4x^{2}-120x+704=0$

Simplify

$x^{2}-30x+176=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-30x+176=0$

so

$a=1\\b=-30\\c=176$

substitute in the formula

$x=\frac{30(+/-)\sqrt{(-30)^{2}-4(1)(176)}} {2(1)}$

$x=\frac{30(+/-)\sqrt{196}} {2}$

$x=\frac{30(+/-)14} {2}$

$x=\frac{30+14} {2}=22\ cm$ ----> this solution is not logic

$x=\frac{30-14} {2}=8\ cm$

The width of the frame is equal to $8\ cm$

8 0

3 years ago

a storage chest has lenght of 4.5 feet and a width of 2 feet and a height of 2 feet, what are the volume and the surface area of

rosijanka [135]

Answer:

Area = 18 ft³ Surface Area = 44 ft²

Step-by-step explanation:

The formula for the area of a rectangular prism is A=lwh so you just plug in the numbers. For surface area, you have to find the area for each face and add them together.

7 0

3 years ago

Which statement best describes f(6) = 12?

Sergio039 [100]

Answer:

When the input is 6, the output must be 12.

Step-by-step explanation:

f(6) = 12

The input to the function is x which is 6 and the output is what f(6) equals which is 12

5 0

3 years ago

Read 2 more answers

Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

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3 years ago

1 m = 3.28 ft<br><br> About how many meters are in 41 feet?

saveliy_v [14]

Answer:

12.4968

Step-by-step explanation:

plz mark me brainlest and hope this helps

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2 years ago