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2 years ago

In which subject did students decline the most

Mathematics

2 answers:

Margaret [11]2 years ago

4 0

English because the least people did it

koban [17]2 years ago

4 0

Social Studies

Math and Science both went up, so the only two options are English and Social Studies.

English started at 77 and went to 74.
Social Studies started at 84 and went to 79.

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What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?

Paraphin [41]

Answer:

k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14

5 0

2 years ago

In a science test devi scores 15 marks more than lixin . If devi obtains twice as many marks as lexin . Find the number of marks

BabaBlast [244]

Answer:

Lixin obtains 15 marks

Step-by-step explanation:

Lets write two equations based on the question where: D= Devi and L=Lixin

D=L+15 - "devi scores 15 marks more than lixin"

D=2L - "devi obtains twice as many marks as lexin"

Now, substitute 2L as D in the first equation we wrote: (D=L+15)

2L=L+15

Next, subtract L from both sides:

L=15

3 0

2 years ago

Naomi's fish is 40 millimeters long.her guinea pig is 25 centimeters long. How much longer is her guinea pig than her fish

snow_lady [41]

Answer:

The guinea pig is 210 mm longer than Naomi's fish

The guinea pig is 21 cm longer than Naomi's fish

Step-by-step explanation:

Remember that

1 cm=10 mm

Convert cm to mm

guinea pig ------> 25 cm=25*10=250 mm

Subtract the length of Naomi's fish from the length of her guinea pig

250-40=210 mm

Convert to cm

210 mm=210/10=21 cm

7 0

2 years ago

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the ba

timama [110]

Using the Pythagorean theorum we can solve this v a^2+b^2= c^2. A is the distance from base of house to ladder A= 1.5, c ifls length of ladder, c= 10. (1.5)^2 + ;b^2 = (10)^2. Solve for b. B= 9.88. 12 foot height of house - 9.88 feet to top of angled ladder = 2.11 from top of ladder to edge of roof

6 0

2 years ago

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

2 years ago