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Len [333]
3 years ago
14

Solve for M: Your answer may be exact or rounded to the nearest tenth

Mathematics
2 answers:
galben [10]3 years ago
8 0

Answer:

\frac{m}{7 }  \ \leqslant  - 5 \\  \frac{m}{7}  \times 7 \leqslant  - 5 \times 7 \\  m \leqslant  35

julia-pushkina [17]3 years ago
6 0

Answer:

M\leq -35

Step-by-step explanation:

M\leq -5 * 7

M\leq -35

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In the diagram shown, chords AB and CD intersect at E. The measure of (AC) ̂ is 120°, the measure of (DB) ̂ is (2x)° and the mea
Mars2501 [29]

Answer:

The measure of angle < AED is 100\°

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

so

m

substitute the values and solve for x

4x=\frac{1}{2}(120\°+2x)

8x=(120\°+2x)

8x-2x=120\°

6x=120\°

x=20\°

m

m -----> by supplementary angles

substitute value

80\°+m

m

4 0
3 years ago
Point B has coordinates (-2,-5).After a translation 4 units down,a reflection across the y axis and a translation 6 units up, wh
zavuch27 [327]

Answer:

The answer is (8,-9)

Step-by-step explanation:

The best way to go about this type of problem is by visualizing the translations at hand. We know that X comes first, (X,Y), in an ordered pair. The X coordinate is in regards to where the point is on the X axis, or left/right movement, whilst the Y is for up and down. As the problem states that the point is moved four units down, we can simply subtract 4 from the y coordinate, as it is in regards to up/down motion. This brings the new point to (-2,-9). As for reflections, if it is over the X axis the y coordinate sign is flipped and if it is over the y, as in the problem, the x coordinate sign is flipped. This will bring the new set to (2,-9). Lastly, there is the translation 6 units up. As we have learned, this is an up/down translation, so it pertains to the y coordinate. The final operation is to ADD 6 to the y coordinate thus bringing us to the final answer: (8,-9).

7 0
4 years ago
For a given rabbit population, the relationship between the number of adult female rabbits, F, and the number of offspring, R, t
Sphinxa [80]

Considering the given function in the problem, it is found that:

a. 9.6 offspring survive to maturity when there are 12 female rabbits in the population.

b. At least 18 female rabbits are required for there to be 13 offspring.

<h3>What is the given function in this problem?</h3>

The function gives the relationship between the number of adult female rabbits F and the number of offspring R as follows:

R = 3 + \frac{350F}{F + 625}

When there are 12 female rabbits, we have that F = 12, hence:

R = 3 + \frac{350 \times 12}{12 + 625} = 9.6

9.6 offspring survive to maturity when there are 12 female rabbits in the population.

For at least 13 offspring, we have that the number of rabbits needed is given as follows:

R \geq 13

3 + \frac{350F}{F + 625} \geq 13

\frac{350F}{F + 625} \geq 10

350F \geq 10F + 6250

F \geq \frac{6250}{340}

F \geq 18

At least 18 female rabbits are required for there to be 13 offspring.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
Simplify the exponential expression. (−8) 2 =
sweet-ann [11.9K]

Answer:

-16

Step-by-step explanation:

6 0
3 years ago
Pre-image ABCD was dilated to produce image A'B'C'D' What is the scale factor from the pre-image to the image?
Greeley [361]

Answer:

The answer is 3/4

Step-by-step explanation:

4 0
3 years ago
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