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3 years ago

Help FAST PLZ!!! marking brainliest!

Mathematics

1 answer:

ss7ja [257]3 years ago

5 0

Answer:

After finding the prime factorization of $2010=2\cdot3\cdot5\cdot67$, divide $5300$ by $67$ and add $5300$ divided by $67^2$ in order to find the total number of multiples of $67$ between $2$ and $5300$. $\lfloor\frac{5300}{67}\rfloor+\lfloor\frac{5300}{67^2}\rfloor=80$ Since $71$,$73$, and $79$ are prime numbers greater than $67$ and less than or equal to $80$, subtract $3$ from $80$ to get the answer $80-3=\boxed{77}\Rightarrow\boxed{D}$.

Step-by-step explanation:

hope this helps

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Find the measure of each angle in the triangle.

ValentinkaMS [17]

Answer:

x=26°

Step-by-step explanation:

3x-14+x+90=180

4x-14=90

4x=104

x=104/4

x=26°

6 0

3 years ago

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().

Aleonysh [2.5K]

Answer:

We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

Step-by-step explanation:

We are given:

$f(x) = -3x - 3\\ g(x) = x^2 + 5$

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

$(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8$

So, We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

5 0

3 years ago

Your classmate is starting a new fitness program. He is planning to ride his bicycle 30 minutes every day. He burns 7 calories p

AlexFokin [52]

Set your equations up algebraically.

At 11mph: 43 minutes to burn 300 calories

At 15mph: 28 minutes to burn 300 calories

4 0

3 years ago

Anwser the question below Plz brailiest.

Tresset [83]

The area of a triangle = $\frac{1}{2}$ × the length of one side × the length of another side × sin(the angle between these two sides). For our example, because we know one side = 10 and the angle is 30° we will use these in our formula for 'easyness'.

Area of triangle = $\frac{1}{2}bc \sin A$ where A is the angle in-between the two sides b and c. (b=10, A = 30°, c=???)

We need to find c on your diagram and then we can use the formula above. We can use the sine rule to find the length of side c.

$\frac{10}{\sin 45} = \frac{c}{\sin C}$
We know the angles in a triangle add up to 180° which means angle C must equal 180° - 45° - 30° = 105° so $\frac{10}{\sin 45} = \frac{c}{\sin 105} \Rightarrow c= \frac{10}{\sin45} \times \sin105 = 13.66$
side c = 13.66 so
$Area = \frac{1}{2}bc\sin \Rightarrow A = \frac{1}{2} \times 10 \times 13.66 \times \sin30=34.15$
Area = 34 square units (to nearest square unit)

8 0

4 years ago

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is t

vesna_86 [32]

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

7 0

3 years ago