Julie wanted to match Lisa's obstacle course record of 74.6 seconds. She has already spent forty and one-fourth seconds on wall climbing and 10.56 seconds on the ropes. How much time did she have left to match the record?

23.79 seconds
29.69 seconds
34.35 seconds
64.04 seconds

Answer:

x = (13/9), -(3/9)

Step-by-step explanation:

|3x + 5| = 12x + 8

Since the equation is in absolutes we have

3x - 12x + 5 = 8

.: 5 - 9x = 8

-8 = 5 - 9x = 8

Remove 5 from both sides

-8 - 5 = -9x = 8 - 5

-13 = -9x = 3

x = (13/9), -(3/9)

The values of x for | 3x + 5 | = 12x + 8 is x = - 1/3 Or x = - 13/15.

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given, | 3x + 5 | = 12x + 8.

So, (3x + 5) = 12x + 8 Or - (3x + 5) = 12x + 8.

3x + 5 = 12x + 8 Or -3x - 5 = 12x + 8.

- 9x = 3 Or - 15x = 13.

x = - 1/3 Or x = - 13/15.

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Answer:

6 & 10

Step-by-step explanation:

x+6>10

x>4

x<10+6

x<16

The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).

In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).

The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.

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Answer:

Step-by-step explanation:

The number of ways to choose only republicans is 330.                               The number of ways to choose the committee consisting of 1 republican and 6 democrats is 5005.                                                                                       The number of ways to choose the committee consisting of 1 republican and 6 democrats is 55055.                                  

The formula for this is ⁿCm is n!/((n-m)!*m!).

The number of ways to choose only republicans  = ¹¹C₇ = 330

The number of ways to choose one republicans = ¹¹C₁ = 11!/((11–1)!*1!) = 11

The number of ways to choose six democrats is ¹⁵C₆ = 15!/((15–6)!*6!) = 5005.

The number of ways to choose the committee consisting of 1 republican and 6 democrats from 15 Democrats and 11 Republican is :

¹¹C₁ * ¹⁵C₆ = 11!/((11–1)!*1!) * 15!/((15–6)!*6!) = 11 * 5005 = 55055

There are 55055 possible committees consisting of 1 republican and 6 democrats.

The number of ways to choose four republicans = ¹¹C₄ = 11!/((11–4)!*4!) = 330

The number of ways to choose three democrats is ¹⁵C₃ = 15!/((15–3)!*3!) = 455

The number ow ways to choose the committee consisting of 4 republican and 3 democrats from 15 Democrats and 11 Republican is : ¹¹C₄ * ¹⁵C₃ = 330 * 455 = 150150

There are 150150 possible committees consisting of 4 republican and 3 democrats.

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A growth model and a decay model  key differences can be seen in:

Growth and decay models represent different types of change over time. In terms of Growth Model,  Graph is upward sloping, starting at initial quantity and increasing over time. Decay Model Graph is one that is Downward sloping, reduces over time. Parameters: Initial quantity.

Real-Life Situation:

Growing Population in City Over Time Initial population of 100,000 can grow over time using a growth model. Using the growth rate 'r' and time 't', we can predict the city's future population through the growth model equation.

Decay Model: Radioactive Decay in real life. For instance, if a radioactive isotope starts with 1,000 grams, the decay rate 'r' can represent its half-life and indicate the decay percentage in a given time. The decay model calculates remaining substance after time, useful in finance, biology, physics, and environment studies.

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Answer:

Since you dont know the unknown money per cone we make it an equation:

4c(unknown money per cone) = $10

Let's divide both sides by 4

C = 2.50, now we found out the cost of 1 cone.

Since there are 3 cones we multiply by 3,

2.50 x 3 = $7.50

Answer:

Step-by-step explanation:

4c=10

4c/4=10/4

c=2.5

3c=x

3(2.5)=x

7.5=x

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Coordinates of point A are

(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:

h^2 = 3^2 + 2^2 = 13

h = sqrt 13

Answer is b

Answer:

MRS. White graded 51 papers.

Step-by-step explanation:

85/100= 0.85

0.85 x 60 = 51

The percentage of all cans produced contain more than 8.3 ounces of tomato paste is 15.87% and Ninety percent of cans will contain at least 8.384 ounces.

The weights of the contents of cans of tomato sauce produced by a company are normally distributed with a mean of 8 ounces and a standard deviation of 0.3 ounces.
Part (a):Mean (μ) = 8 ounces
Standard deviation (σ) = 0.3 ounces
We need to find P(X > 8.3)Z = (X - μ) / σZ = (8.3 - 8) / 0.3= 1P(Z > 1) = 0.1587
Therefore, the percentage of all cans produced contain more than 8.3 ounces of tomato paste is 15.87%.
Now, the weights of the contents of cans of tomato sauce produced by a company are normally distributed with a mean of 8 ounces and a standard deviation of 0.3 ounces.
Part (b) We need to find the value of X such that P(X > x) = 0.1P(Z > z) = 0.1(When we transform a normal random variable X into a standard normal random variable Z using Z = (X - μ) / σ)
Then we find the value of Z from the standard normal table that satisfies P(Z > z) = 0.1)P(Z > 1.28) = 0.1
Now, we have to calculate the value of X using the formula for Z.When Z = 1.28X = μ + ZσX = 8 + (1.28 × 0.3)X = 8.384

Therefore, the percentage of all cans produced contain more than 8.3 ounces of tomato paste is 15.87% and Ninety percent of cans will contain at least 8.384 ounces.

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Answer:

0( no birds)

Step-by-step explanation:

if you shoot one, the rest will fly away

Answer:

14 alive birds, but 15 in total.

Step-by-step explanation:

15-1=14, or 15-0=15. the dead one still exists

Answer:

4.5 gallons

Step-by-step explanation:

18/4

After conversion 18 gallons will be equal to 4.5 quarts .

Given,

1 gallon is equal to 4 quarts

Convert  18 quarts to gallons

Few unit conversions :

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

Now 1 gallon is equal to 4 quarts ,

Here,

1 gallon = 4 quarts

Hence ,

18 quarts = 4.5 quarts .

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Answer:

A

Step-by-step explanation:

I like math

Answer:

Answer is A

Step-by-step explanation:

edge2021

Answer: 37.68 feet

Step-by-step explanation:

Circumference = 2 x π x r

Plug in values:

C = 2 x 3.14 x 6

C = 12 x 3.14

C = 37.68

The circumference is 37.68 feet

Hope this helps!

Answer:500 mile per hour

Step-by-step explanation: 4000/8=500

Answer: 500mi/h

Step-by-step explanation: Speed = distance/time.

distance = 4000mi(miles)

Time =8h(hours)

4000mi/8h = 500mi/h

Answer:

5x^4 - 12^3 - 3x^2 + 4x + 10

Step-by-step explanation:

Answer:

5x⁴-12x³-3x²+4x+10

Step by step explanation:

(7x⁴-9x³-4x²+5x+6)-(2x⁴+3x³-x²+x-4)

remove unnecessary parentheses:

7x⁴-9x³-4x²+5x+6-(2x⁴+3x³-x²+x-4)

When there is a minus sign in front of an expression in parentheses, switch the sign of each term in the expression:

7x⁴-9x³-4x²+5x+6-2x⁴-3x³+x²-x+4

collect like terms:

7x⁴-9x³-4x²+5x +6-2x⁴-3x³+x²-x+4

5x⁴-12x³-3x²+4x+10

Answer:

1/6

Step-by-step explanation:

hope this helps :)

1/6

divide both by 2 and you get 1/6

Since the mean for driver A is greater than the mean for dirver B, we have that the true statement is "the mean nmber of deliveries for driver A is more than the mean for driver B by 2 MADs"

Answer:

y = 3/x

Step-by-step explanation:

The inequality is,

⇒ p ≤ 23 (approximate)

Since, An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. The two values are separated by ≤ , ≥ , < , > .

Given here,  cost of food for each person attending the picnic is $6.50 and the total budget is $150 , using this we construct the inequality:

⇒ 6.50×p ≤ 150

⇒ p ≤ 23.0769 or 23 (approx)

Hence the maximum number of people who could attend the picnic is 23.

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Answer:

Your three angle measurements are 45, 45, and 90

Step-by-step explanation:

Since we know that all the measures of a triangle add up to 180, we have:

45 + b + c = 180

Then, since it is a right triangle, we know one of the sides is 90 degrees, giving us:

45 + 90 + c = 180

Then subtract 135 from both sides:

c = 45

So, your three angle measurements are 45, 45, and 90.

Hope this helped!

Answer:

Bus charges for 30 people = $98

Step-by-step explanation:

Given:

Car A charges for 2 people = $14

Car B charges for 4 people = $20

Van charges for 8 people = $32

Find:

Bus charges for 30 people

Computation:

Assume;

Fix charge = b

Variable charges = a

So,

2a + b = 14.................................. Eq 1

4a + b = 20 ..............................Eq2

From Eq 1 and 2

a = 3

Variable charges = $3

Fix charge = 8

So,

Bus charges for 30 people = 30a + b

Bus charges for 30 people = 30(3) + 8

Bus charges for 30 people = $98

Answer:

17 IS THE ANSWER......................

Answer:

Your answer should be 36.

Answer:

p > 7

Step-by-step explanation:

4(p - 4) > 12 ( divide both sides by 4 )

p - 4 > 3 ( add 4 to both sides )

p > 7

Answer:

B, C and D have a different price.

E has the same price.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: