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Brrunno [24]
3 years ago
9

If (5x^4)(2x^6)=ax^b, what is the value of a-b?

Mathematics
2 answers:
stellarik [79]3 years ago
5 0

5x^4\cdot2x^6=ax^b\\10x^{10}=ax^b\\a=10 \wedge b=10

a-b=10-10=0

ehidna [41]3 years ago
3 0

(5x^4)(2x^6)=(5\cdot2)(x^4\cdot x^6)=10x^{4+6}=10x^{10}=ax^b

so

​a=10\qquad b=10

and

a-b=10-10=\boxed{0}

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if 40 percent of a circle is taken what would be the angle you would draw to represent 40 percent of the circle
Tema [17]
If you mean 40% of the circle with the rotation at the center of the circle, then you do this:
Measure of circle: 360°
Amount of circle's measure: 40%
360 * 40% = 144°

Thus, to take up 40% of the circle you need to have an angle measure of 144°.
6 0
3 years ago
Pediatricians prescribe 5mL of cough syrup for every 25lb of a child's weight. How many mililiters of cough syrup will the docto
Marianna [84]

Answer:

9 ml

Step-by-step explanation:

The Pediatrician prescribes 5 milliliters of cough syrup for every 25 lb of child weight.

Now, the weight of Jocelyn is 45 lb.

If the rate of prescribing the cough syrup in ml per weight of patients remains constant,

Then we can use the unitary method to get the amount of cough syrup prescribed by the Pediatrician for Jocelyn, and that will be

\frac{5*45}{25} =9 ml. (Answer)

3 0
3 years ago
In the circle shown, BD is a diameter, m1 = 100° and m = 30°. m3 = _____
morpeh [17]
If a cirlce is 360* the cloest answer would have to be.... *c*
3 0
3 years ago
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the leng
ExtremeBDS [4]

Answer:

<h2>The right option is twelve-fifths</h2>

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

7 0
3 years ago
Read 2 more answers
The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.
Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

\overline{CD} = 12 \: units

\overline{C'D'}

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

\overline{C'D'} = n \times \overline{CD}

Option A

If n=3/2, then

\overline{C'D'}  =  \frac{3}{2}  \times 12 = 3 \times 6 = 18 \: units

This is true.

Option B

If n=4, then

\overline{C'D'} = 4 \times 12 = 36 \: units

This is false.

Option C

If n=8, then

\overline{C'D'} = 8 \times 12 = 96 \: units

This too is false.

Option D

If n=2, then

\overline{C'D'} = 2 \times 12 = 24 \: units

This is true

Option E

If n=3/4, then

\overline{C'D'} =  \frac{3}{4}  \times  12

\overline{C'D'} =  3 \times 3 = 9 \: units

This is also true.

4 0
3 years ago
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