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Illusion [34]
3 years ago
9

suppose y varies directly with x, and y=8 when x=-6. What direction variation equation relates x and y? What is the value of y w

hen x=-2
Mathematics
1 answer:
beks73 [17]3 years ago
8 0
B. y = –1.33x; 2.67
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Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Westkost [7]

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

7 0
3 years ago
A set of N = 20 exam scores has a mean of m = 50. The instructor discovered that an error was made grading one exam, so 20 point
tatuchka [14]

Answer:

The new mean for the exam scores is 51

Step-by-step explanation:

the mean can be calculated using the formula

mean of scores = \frac{Sum total    of scores}{Number of students}

before the 20 points was added, the mean of the score was = 50.

Inserting this into the formula, we have:

50 = \frac{Sum total}{20 students}

from this, we can compute the sum total of the scores as

sum total = 50 × 20 = 1000

when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.

Hence the new mean will be computed as (New Sum total of scores / Number of students)

= \frac{1020}{20} = 51.

∴ The new mean of the scores is = 51

8 0
3 years ago
Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your
Rasek [7]
To find the inverse of a function, we make the independent variable the subject of the formula.

Thus, the inverse of the given function is evaluated as follows.
f(x)=-8x+4 \\ y=-8x+4 \\ -8x=y-4 \\ x= \frac{y-4}{-8}  \\ f^{-1}(x)=\frac{x-4}{-8}

From the work show, it can be seen that Talib's work is correct.
4 0
3 years ago
Read 2 more answers
You invested $ 7000 between two accounts paying 3 % and 5 % annual? interest, respectively. If the total interest earned for the
natita [175]

Answer:

In the first account was invested \$3,000  at 3%

In the second account was invested \$4,000  at 5%

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

First account

t=1 years\\ P=\$x\\ r=0.03

substitute in the formula above

I=x(0.03*1)

I=0.03x

Second account

t=1 years\\ P=\$(7,000-x)\\ r=0.05

substitute in the formula above

I=(7,000-x)(0.05*1)

I=350-0.05x

Remember that

The interest is equal to \$290

so

Adds the interest of both accounts

0.03x+350-0.05x=\$290

0.05x-0.03x=350-290

0.02x=60

x=\$3,000

therefore

In the first account was invested \$3,000  at 3%

In the second account was invested \$7,000-\$3,000=\$4,000  at 5%

7 0
3 years ago
A car is driving northwest at vv mph across a sloping plain whose height, in feet above sea level, at a point nn miles north and
solong [7]
 <span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles. 

Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500 
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>
7 0
3 years ago
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