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andrew11 [14]
3 years ago
13

Ali’s final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 5 points each. Let x be the

number of true/false questions he gets correct, and let y be the number of multiple choice questions he gets correct he needs at least 93 points on the exam to get an A in the class. Using the values and variables given, write an inequality this.
Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

2x + 5y >= 93

Step-by-step explanation:

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Error Analysis Your friend says that the volume of this sphere is 44.58
Maurinko [17]

Answer:

  • the given dimension was used as the radius
  • 5.57 m³

Step-by-step explanation:

The volume of a sphere can be found using the formula ...

  V = 4/3πr³ . . . . . where r is the radius

__

The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

  V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

__

The correct volume, using 2.2 m as the diameter, is ...

  V = 4/3π(1.1 m)³ ≈ 5.57 m³

6 0
2 years ago
A water balloon is tossed into the air. The function h(x)=-0.5(x-4)squared +9 gives the height, in the feet, of the balloon from
NNADVOKAT [17]

Answer:

No, the maximum height that the balloon can reach is 9ft.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.

Vertex form: f (x) = a(x - h) 2 + k

Where:

  • (h, k) is the vertex of the parabola-
  • h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).  
  • k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).  

In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.

So, the maximum height that the balloon can reach is k=9ft.

9 ∠ 12

The balloon will not hit the ceiling 12 ft above the pool.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
30% × 750 =<br> (30 ÷ 100) × 750 =<br> (30 × 750) ÷ 100 =<br> 22,500 ÷ 100 =<br> 225;
Deffense [45]

Answer:

SOLVE IT UR SELF OR GET A CALCULATOR

Step-by-step explanation:

*urinates on ur property*

ANSWER : 225, 225, 225, 225, 225

7 0
3 years ago
Read 2 more answers
.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
EastWind [94]

We can employ a simple repeated decimal trick:

x=1.111\ldots

0.1x=0.111\ldots

\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9

###

Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}

\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}

\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

6 0
3 years ago
Read 2 more answers
Thirty minutes of exercise per day can reduce your blood pressure. Which of the following is a guideline for establishing causal
Lynna [10]

Answer:

opt. (d)

Step-by-step explanation:

6 0
3 years ago
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