Please helppp!!! It’s part 1 and part 2! THANKK YOU! AND MAY GOD BLESS YOUUU

Answer:

Feet / per second

4 feet/per second

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

.16/.2 = 0.8

check

0.8 x .2 = 0.16

Answer:

85

Step-by-step explanation:

255 ÷ 3 = 85

85×2= 170 This is how much student tickets were sold.

255 - 170= 85

85 adult tickets were sold.

Answer:

68

Step-by-step explanation:

x = original number of marbles

x = 104 - 36

x = 68

The expression is simplified to 25.3. Option D

BODMAS is simply a mathematical acronym which represents;

Note that when carrying out mathematical operations, the order must be followed for a correct solution.

We have to simply the expression;

29.5 - 2.1 × (4.7 - 2.7)

solve the bracket

29.5 - 2.1 × ( 2. 0)

Multiply the bracket

29. 5 - 2.1(2)

29. 5 - 4. 2

25. 3

Thus, the expression is simplified to 25.3. Option D

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Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:

Z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

Part 1 of 2: For the oldest senator of age 85:

Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28

Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.

Part 2 of 2: For the youngest senator of age 39:

Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

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Answer:

f(t) = 5.4 + 0.3sin (2π/4.5t)

Step-by-step explanation:

See attachment

Answer:

Thus, the equation of line for point (-1, 2)  is y = x + 3.

Step-by-step explanation:

Answer:

The equation of the line is y = x + 3.

Step-by-step explanation:

A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.

y = mx + b

y = 1 * -1 + b

y = -1 + b

b = y + 1

b = 2 + 1

b = 3

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

C = 14 pi inches

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

49 pi  = pi r^2

Divide each side by pi

49 pi/pi = pi /pi r^2

49 = r^2

Take the square root of each side

7 = r

The circumference is given by

C = 2 * pi *r

C = 2 * pi *7

C = 14 pi inches

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

\(x=\dfrac{2}{3},-\dfrac{3}{2}\)

Step-by-step explanation:

Given equation:

\(6x^2+5x-6=0\)

First, factor the left side of the given equation.

To factor a quadratic in the form \(ax^2+bx+c\) find two numbers that multiply to \(ac\) and sum to \(b\):

\(\implies ac=6\cdot-6=-36\)

\(\implies b=5\)

So the two numbers are: 9 and -4

Rewrite \(b\) as the sum of these two numbers:

\(\implies 6x^2+9x-4x-6=0\)

Factorize the first two terms and the last two terms separately:

\(\implies 3x(2x+3)-2(2x+3)=0\)

Factor out the common term \((2x+3)\):

\(\implies (3x-2)(2x+3)=0\)

To solve for x:

\(\begin{aligned}\implies (3x-2) & =0 & \implies (2x+3) & = 0\\3x & = 2 & 2x & = -3\\x & = \dfrac{2}{3} & x & = -\dfrac{3}{2}\end{aligned}\)

Therefore:

\(x=\dfrac{2}{3},-\dfrac{3}{2}\)

Answer:

1/4+1/3+1/8

=17/24

Step-by-step explanation:

1-17/24

=7/24

7/24×240

=70

Answer:

a

Step-by-step explanation:

Answer:

m<UVT = 114°

Step-by-step explanation:

½(sum of intercepted arcs) = measure of vertex of an angle inside a circle

Thus:

½(FS + UT) = m<UVT

Substitute

½(53 + 175) = m<UVT

½(228) = m<UVT

114 = m<UVT

m<UVT = 114°

Answer:

a no

b. no

c.no

d. yes

Step-by-step explanation:

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

The equation of a line with slope m that passes thorugh the point (x1,y1) is given as:

Plugging the values we know we have:

Therefore the equation of the line is:

To find the graph we need another point. If x=0, then:

Then we have the point (0,3). Plotting the points (0,3) and (6,0) and join them with a straign

Answer:

y = -x - 2

this is because the m is the slope and the b is the intersection of the y axis

Answer:

y=-1x-2

Step-by-step explanation:

First find the slope by using the formula (y2-y1)/(x2-x1). Choose the 2 intercepts to calculate the slope. replace the y's and x's with your points so it would look like this or this: (-2-0)/(0-(-2)) or 0-(-2))/(-2-0). They both give the same slope which is -1. Then, since the graph tells us the y-intercept(when the x is equal to 0), we replace it with b to get y=-1x-2.

Answer:

2,-1,-2,-4

Step-by-step explanation:

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answer:

The midpoint of FH is (3;1)

Step-by-step explanation:

Answer:

you cant round that to 30

Step-by-step explanation

29.20

29.2 2 is less than 5

so you cant round you can only round if the .tens place is 5 or more

Answer:

\(\boxed {360 m^{3}}\)

Step-by-step explanation:

Water needed to fill the pool = volume of pool

Volume :

Hence, 360 m³ of water has to be filled.

Answer:

360 m³

Step-by-step explanation:

The swimming pool can be modeled as a rectangular prism with the following dimensions:

To find how much water is needed to fill the pool, calculate the volume of the rectangular prism using the given dimensions:

\(\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf length \times width \times height\\\implies \textsf{Volume of pool} & = \sf 12 \times 6 \times 5 \\& = \sf 72 \times 5\\& = \sf 360 \:\: m^3\end{aligned}\)

Therefore, 360 m³ of water is needed to fill the swimming pool.