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asambeis [7]
2 years ago
11

Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par

ty favors. Shanley has $154 to spend on party favors. Enter an inequality to find the number of gift cards x and teddy bears y Shanley could purchase. Give one solution to the inequality.
Mathematics
1 answer:
ozzi2 years ago
8 0

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

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Find the measure of angle x in the figure below<br>67 61<br>у<br>X<br>67​
kondor19780726 [428]

Answer: y67

Step-by-step explanation:5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = y67

3 0
3 years ago
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Mary's team scores 18 points in the first half and 7 points in the second half. Mary scored a total of 5 points. What fraction o
jek_recluse [69]

Answer:

.2 <em>or </em>1/5

Step-by-step explanation:

First, calculate the total points by adding the two half's totals together.

7 + 18 = 25

Now, divide the number of points Mary scored by the total.

5 / 25 = 1/5

7 0
3 years ago
What is the domain? I think it’s (-4,-3)
Olin [163]

Answer:

all real numbers

Step-by-step explanation:

As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.

Domain: all real numbers

4 0
3 years ago
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What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)
zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

  • Integrals
  • Definite Integrals
  • Integration Constant C

Arc Length Formula [Parametric]:                                                                         \displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.

Interval [0, π]

<u>Step 2: Find Arc Length</u>

  1. [Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]:         \displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.
  2. Substitute in variables [Arc Length Formula - Parametric]:                       \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx
  3. [Integrand] Simplify:                                                                                       \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx
  4. [Integral] Evaluate:                                                                                         \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

4 0
3 years ago
The following table gives the science scores and times spent studying for 10 students:
AveGali [126]
There appears to be a positive correlation between the number of hour spent studydng and the score on the test.

When identifying the independent and dependent quantities, we think about what would cause the other to change.  The score on the test would not cause the number of hours spent studying to change; rather, the number of hours spent studying would cause the score to change.  This means that the number of hours studying would be the independent quantity and the score would be the dependent quantity.

Plotting the graph with the time studying on the x-axis (independent) and the score on the y-axis (dependent) gives you the graph shown.  You can see in the image that there seems to be a positive correlation; the data seem to generally be heading upward.

8 0
3 years ago
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