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3 years ago

PLEASE HELP ASAP!! j^4-5j^3+10j

Mathematics

2 answers:

FrozenT [24]3 years ago

8 0

Answer:

Step-by-step explanation:

malfutka [58]3 years ago

5 0

Answer:

B) j(j^3-5j^2+10)

Step-by-step explanation:

Given: $j^4-5j^3+10j$

Factor out j: $j(j^3-5j^2+10)$

We cannot factor out anymore, so the final answer is B) j(j^3-5j^2+10)

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Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and

Maslowich

Answer:

c + d = 400

0.2c + 0.5d = 156

Step-by-step explanation:

Let

c = number of liters of 20% acid solution

d = number of liters of 50% acid solution.

c + d = 400 (1)

0.2c + 0.5d = 400(0.39)

0.2c + 0.5d = 156 (2)

From (1)

c = 400 - d

Substitute c = 400 - d into (2)

0.2c + 0.5d = 156 (2)

0.2(400 - d) + 0.5d = 156

80 - 0.2d + 0.5d = 156

- 0.2d + 0.5d = 156 - 80

0.3d = 76

d = 76/0.3

d = 253.33 liters

Substitute d = 253.33 into (1)

c + d = 400

c + 253.33 = 400

c = 400 - 253.33

c = 146.67 liters

6 0

3 years ago

−2.5+(−7.4)−(−1.2)−(+3.9)+(+0.6)

Alex73 [517]

Answer:

-12

Step-by-step explanation:

−2.5+(−7.4)−(−1.2)−(+3.9)+(+0.6)

Subtracting a negative is adding

−2.5+(−7.4)+(1.2)−(+3.9)+(+0.6)

Combine like terms

-9.9 +(1.2)−(+3.9)+(+0.6)

-8.7-3.9+.6

-12.6+.6

-12

7 0

3 years ago

Read 2 more answers

Given that y varies directly as x and y = 18 when x = 6

sergey [27]

Answer: y = 15, x = 10

<u>Step-by-step explanation:</u>

NOTE: "varies directly" is of the form $\dfrac{y}{x}=k$ where k is the constant of proportionality.

First, input the given x and y-values to find k

$\dfrac{y}{x}=k\qquad \qquad \text{Given: y=18, x=6}\\\\\dfrac{18}{6}=k\\\\\boxed{3=k}$

Next, input the given value and k = 3 to solve for the missing variable.

$x = 5\\\\\dfrac{y}{5}=3\\\\\large\boxed{y = 15}\\\\\\y=30\\\\\dfrac{30}{x}=3\\\\\dfrac{30}{3}=x\\\\\large\boxed{10 = x}$

4 0

4 years ago

Jenny opened a package of screws quickly and many of them spilled on the floor. She needs to organize the fasteners according to

hichkok12 [17]

We have to compare diameters and arrange them in order smallest to greatest

We can see units for option A and B are in square inches so they represents area. So first we will find diameter from area using formula

$A = \pi r^{2}$

so for choice (A) area is given as $4.375 \times 10^{7}$ . So plug this in A place in formula and then solve for radius r

$4.375 \times 10^{7} = \pi r^{2}$

$\frac{4.375 \times 10^{7}}{\pi} = \frac{\pi r^{2}}{\pi}$

$1.393 \times 10^{7} } = r^{2}$

$\sqrt{1.393 \times 10^{7}} = \sqrt{r^{2}}$

3731.76 = r

So screw A will have
$diameter = 2 \times r = 2 \times 3731.76 = 7463.52$ inches

Similarly for choice (E) area is $1.428 \times 10^{1} = 14.28$
so again plug in formula

$A = \pi r^{2}$

$14.28 = \pi r^{2}$

$\frac{14.28}{\pi} = \frac{\pi r^{2}}{\pi}$

$4.5477 = r^{2}$

$\sqrt{4.5477} = \sqrt{r^{2}}$

2.13201 = r

So screw E will have
$diameter = 2 \times r = 2 \times 2.13201 = 4.26402$ inches

So diameters of all screws are as follows:

Screw A: 7463.52 inches
Screw B: 1.5 inches
Screw C: $1\frac{7}{8} = \frac{1\times 8+7}{8} = \frac{15}{8} = 1.875$ inches
Screw D: 0.25 inches
Screw E: 4.26402 inches

Comparing all numbers 7463.52, 1.5, 1.875, 0.25, 4.26402 we can see that smallest number is 0.25, then comes 1.5, then 1.875 and then 4.26402 and then 7463.52

So order from least to greatest will be screw D (0.25), B(1.5), C(1.875), E (4.26402), A (7463.52).

So thats the order D,B,C,E,A and the final answer