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I am Lyosha [343]
3 years ago
5

Subtract. ​ 7/8-(-3/8) ​ Enter your answer in the box as a fraction in simplest form?

Mathematics
2 answers:
fgiga [73]3 years ago
7 0
The answer is negative 1 1/4 
Effectus [21]3 years ago
4 0
Simple....

so you have: \frac{7}{8}-(- \frac{3}{8}  )

There's the law where if the number outside your parentheses is negative along with the number in the parentheses; it converts into positive...

-->>x-(-x)
--->>x+(+x)

This being said.....

\frac{7}{8} - (-\frac{3}{8} )

-->> \frac{7}{8} +(+ \frac{3}{8} )

-->>>\frac{10}{8}

But remember, you want to simplify it....

\frac{10}{8} = \frac{5}{4} (Decimal form..1.25)

Thus, your answer.
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It’s Abe beacuse it grew 7 inch week and 4 tall 2 week.
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3 years ago
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Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3​
mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = b_1 = 10 unit

The measure of base side 2 = b_2 = 16 unit

The height of the Trapezoid = h = 3 unit

Let  The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = \dfrac{1}{2} × (sum of opposite base) × height

I.e A =  \dfrac{1}{2} × (b_1 + b_2) × h

Or, A =  \dfrac{1}{2} × (10 unit + 16 unit) × 3 unit

Or, A =  \dfrac{1}{2} × (26 unit) × 3 unit

Or, A =  \dfrac{1}{2} × 78 unit²

Or, A = \dfrac{78}{2} unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0
3 years ago
Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
Read 2 more answers
Refer to the technology output given to the right that results from measured hemoglobin levels (g/dL) in 100 randomly selected a
charle [14.2K]

Answer:

Step-by-step explanation:

a)

Confidence interval in less than symbol expressed as

\bar{x} - E < \mu < \bar{x} + E&#10;

Where \bar{x} is sample mean and  E is margin of error.

13.03 < \mu 13.42&#10;

b)

The given t interval is (13.032 , 13.418 )&#10;

That is \bar{x} - E = 13.032 and \bar{x} + E = 13.418

Solve these two equation by adding together.

2 \bar{x} = 13.032 + 13.418&#10;\\\\\bar{x} = 13.225

Solve this value of \bar{x} in equation \bar{x} - E = 13.032 and solve for E

13.225 - E = 13.032&#10;\\\\E = 0.193&#10;

Best point estimate of \mu = \bar{x} = 13.225&#10;

Best point estimate of margin of error = 0.193

c)

Since sample size = 100 which is sufficiently large (Greater than 30) , it is no need to confirm that

sample data appear to be form a population with normal distribution.

8 0
3 years ago
What does h equal in the equation S=2πr2+2πrh?
Troyanec [42]

A

Step-by-step explanation:First, subtract

2

π

r

2

from each side of the equation to isolate the

h

term:

S

−

2

π

r

2

=

2

π

r

h

+

2

π

r

2

−

2

π

r

2

S

−

2

π

r

2

=

2

π

r

h

+

0

S

−

2

π

r

2

=

2

π

r

h

Now, divide each side of the equation by

2

π

r

to solve for

h

:

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

h

h

=

S

−

2

π

r

2

2

π

r

Or

h

=

S

2

π

r

−

2

π

r

2

2

π

r

h

=

S

2

π

r

−

2

π

r

2

2

π

r

h

=

S

2

π

r

−

r

2

r

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=

S

2

π

r

−

r

4 0
3 years ago
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