An item is regularly priced at $85. It is on sale for 45% off the regular price.

The value of x from the shape is 5.6

Since the shapes are similar, hence the ratio of the sides is equal to a constant. Mathematically;

10/14 = 4/x

10x = 14 * 4

10x = 56

Divide both sides by 10

10x/10 = 56/10

x = 5.6

Hence the value of x is 5.6

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Answer:

X=5.6

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

using the rules of logarithms

loga + logb = log(ab)

loga = logb , then a = b

given

log(5y - 4) = log(y + 1) + log4

log(5y - 4) = log4(y + 1) , then

5y - 4 = 4(y + 1) = 4y + 4 ( subtract 4y from both sides )

y - 4 = 4 ( add 4 to both sides )

y = 8

Answer:

Step-by-step explanation:

25b * (3a² - 1) = 25b * 3a² - 25b * 1

                     = 75ba² - 25b

Distributive law upon subtraction:

a(x - y) = ax - ay

Answer:

\(25b(3a*2-1)=25b(6a-1)\)

Step-by-step explanation:

\(25b(3a*2-1)\)

Multiply the numbers: \(3 * 2 = 6\)

\(=25b(6a-1)\)

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

A. -148

Step-by-step explanation:

3x³ - 2x² + 7y

3(-3)³ - 2(-3)² + 7(-7)

3(-27) - 2(9) - 49

-81 - 18 - 49

-148

I hope this helps!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is Choice B if you subtract 3 feet from twice the smaller tree you should get the height of the taller tree.

Answer:

b

Step-by-step explanation:

Answer:

784000J or 784KJ

Step-by-step explanation:

Kinetic energy (KE) can be represented with the formula

KE = 1/2(MV²)

where

M = Mass of object (Kg) =2000kg

V = velocity or speed of object in metre per second (m/s or ms^-1) = 28m/s

therefore

KE = 1/2(mv²) becomes

KE = (1/2) X 2000 X 28 X 28

KE = 784000Joules

Answer:

I don't know which one you meant sorry

All of them?

Only one?

two of them?

Sorry

Answer:

7

Step-by-step explanation:

\(Slope=\frac{dy}{dx}= \frac{200-172}{28-24}=7\)

The values of  θ for the given inequality be ⇒ 3π/4 < θ < π

To determine the values of θ for which

cosθ < sinθ  for 0 ≤ x < π,

Now use the trigonometric identity,

sin²(θ) + cos²(θ) = 1

Rearranging this equation:

sin²θ = 1 - cos²θ

Then,

Substitute this in the original inequality, we get

⇒ cosθ < sinθ

⇒ cosθ < √(1 - cos²θ)

Squaring both sides:

⇒ cos²θ< 1 - cosθ

⇒ 2cos²θ < 1

Taking the square root:

cosθ < √(1/2)

cosθ < √(2)/2

So, the solution is:

0 ≤θ < π/4   or   3π/4 < θ < π

Hence,

3π/4 < θ < π is the solution.

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Answer:

Solution,

Diameter (d)=16 ft

Radius(r)=8 ft

Volume of sphere

\( = \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {8}^{3} \\ = \frac{4}{3} \times 3.14 \times 512 \\ = 2144.7 \: {ft}^{3} \)

hope this helps..

Good luck on your assignment..

The answer to the question is 21473.4

Answer:

The width of the tank is approximately 7.9 feet.

Step-by-step explanation:

The pool is a rectangular prism with the following dimensions:

length = 2*x feet

width = x feet

height = 4 feet

With volume equal to 500 cubic feet, therefore:

volume = length*width*height = 500

(2*x)*(x)*(4) = 500

8*x² = 500

x = sqrt(500 / 8)

x = sqrt(62.5)

x = 7.90569 feet

The width of the tank is 7.9 feet.

Marcus is accurate. Jeremy is wrong because he overlooked the negative sign in the equation's initial addend. Since -25 has a greater absolute value than 3, it is obvious that the sum should be negative.

Marcus is correct; the solution is -22.

The simplified expression is given as:

= -(5²)+ 3

= -(25) + 3

= - 22

The right response is this. Marcus saw the bracket or parentheses symbol when he condensed his sentence. This has major significance.

Jeremy scored 28. He squared -5 without noting that it was in a bracket or parenthesis, therefore his response is incorrect.

Consequently, Jeremy calculated this.

= -(5²) + 3

= 25 + 3

= 28

Jeremy gave a false response. He made a computation but failed to see the bracket.

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Complete Question

Marcus and Jeremy both evaluated the expression −(5²) + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.

The quartic function with zeros -6, 1, 2, and 6 is f(x) = x⁴ - 3x³ - 40x² + 99x + 72.

We must use the function's zeros and the leading coefficient to formulate the equation of a quartic polynomial. We may factor the polynomial as follows since the leading coefficient is 1:

f(x) = (x + 6)(x - 1)(x - 2)(x - 6)

Expanding this expression using FOIL and simplifying, we get:

f(x) = (x⁴ - 3x³ - 40x² + 99x + 72)

This is the equation of the quartic polynomial in standard form, where the coefficients of each term represent the corresponding power of x. Therefore, the quartic function with zeros -6, 1, 2, and 6 is f(x) = x⁴ - 3x³ - 40x² + 99x + 72.

It is crucial to keep in mind that the leading coefficient is supposed to be 1, which makes determining the polynomial easier. We would have to modify the coefficients of each term if the leading coefficient had a different value.

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Answer:

C. 256 square inches

Step-by-step explanation:

if each side of the cube is 8, and the height is 4 your equation would be 8x8x4=256

Answer: $18.30

Step-by-step explanation:

The sprinkler cost 9.23, and the change is 9.07, so adding both of them equal $18.30

Answer 18.3

eeeeeeeeeeeeeeeeeeeeeeee

The area of base board that will be needed is 1152ft²

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

The room takes the shape of a cuboid

The area of a cuboid is = 2(lb+lh+bl)

lb = 12×15 = 180ft²

lh = 12×36 = 432ft²

bh = 15 × 36 = 540

therefore the area of the baseboard needed =

180+432+540

= 1152ft²

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Answer:

1 - B

2 - B

Step-by-step explanation:

Hey There!

The slope is the change in y over change in x

In the graph shown as y goes up 3 x goes down 4

so the slope is -3/4 or B

See graph below for number 2

I had plotted the two points (4,6) and (2,12) and the equation that passed through those points was y=-3x+18 so your answer is B

Answer:

Each country will have a representative of 565 people in that political gathering.

Step-by-step explanation:

The appropriate sample regression equation is:

Est(Yield) = β0 + β1Fertilizer + β2South + ε

We have,

The sample regression equation is a mathematical representation of the relationship between the dependent variable (Yield) and the independent variables (Fertilizer and South) in a regression analysis.

In the equation, "Est(Yield)" represents the estimated value of the Yield variable, β0 is the intercept (constant term), β1 and β2 are the coefficients associated with the Fertilizer and South variables, respectively, and ε represents the error term.

The equation allows us to estimate the expected value of the Yield variable based on the values of the independent variables.

By adjusting the values of Fertilizer and South, we can predict how the Yield variable may change. The coefficients (β1 and β2) represent the expected change in the Yield variable for a unit change in the corresponding independent variable, while β0 represents the estimated average value of Yield when both Fertilizer and South are zero.

Therefore,

The appropriate sample regression equation is

Est(Yield) = β0 + β1Fertilizer + β2South + ε, as it accurately reflects the relationship between the variables in the regression analysis.

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For given expression  (7^3) * (7^x) equivalent expressions are:

343 * 7^x and 7^(3+x)

The correct options are option (C) and option (D)

In this question, we have been given an expression (7^3) * (7^x)

We need to find expressions that are equivalent to given expression.

Consider given expression (7^3) * (7^x)

We know that 7^3 = 343

So given expression becomes, (7^3) * (7^x) = 343 * (7^x)

For given expression, the bases of the exponents are equal.

so, by the properties of exponents

(7^3) * (7^x) =  7^(3 + x)

Therefore, for given expression  (7^3) * (7^x) equivalent expressions are:

343 * 7^x and 7^(3+x)

The correct options are option (C) and option (D)

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Given:

The number of faces =8.

Required:

We need to find the polyhedron with 8 faces.

Explanation:

Recall that the tetrahedron is a polyhedron composed of four triangular faces

The number of faces in tetrahedron =4.

Recall that the octahedron is a polyhedron with 8 faces.

The number of faces in the octahedron= 8.

Recall that the dodecahedron is a polyhedron with 12 faces.

The number of faces in the dodecahedron = 12.

Recall that the icosahedron is a polyhedron with 20 faces.

The number of faces in icosahedron =20.

Final answer:

octahedron

Answer:

24

Step-by-step explanation:

10²-6²=64

\( \sqrt{64} \)

=8

10+8+6=24

Answer:

75/200

Step-by-step explanation:

You can also simplify this.

No, The relation is not a function A. Because two points with the same x value have different y values.

What does a math function mean?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

We know a relation is a function if it is one-to-one or many-to-one.

But a relation one to many implies one input corresponds to two different outputs is not a function.

From the graph the function two different outputs 4 and 6 correspond to the same input 7.

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The complete question is -

Is this relation a function? Justify your answer.

 A) No, because  two points with the same x- value have different y - values.

B) No,  because  two points with the same y- value have different x - values.

C) Yes, because every x and y - value is alone .

D) Yes, beacuse the number of x - values is the same as the number of y- values .

Answer:

option A is the answer.

Because the sum of two smaller sides of a traingle should be larger then third side. This condition is only fulfilled in option A.

15+25= 40 which is more then 38.

while in other options it's either equal or smaller then third side.

To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:

Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.

Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.

Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:

Δv = aΔt

Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.

Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.

vmax = vi + Δv

Where vmax is the maximal velocity and vi is the initial velocity.

Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.

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Answer:

C= 1/3^8

Step-by-step explanation:

3^-2×4

3^-8

1/3^8

For a pack of 52 cards, two cards are drawn together, the probability that one card is clubs and one card is spades is equals to the

\(= \frac{13}{102}\)

Probability is chances of occurrence of an event. It is calculated by dividing the favourable response to the total possible outcomes. We have a pack of 52 cards. Let's consider an event E : card is one card is culb and one is spade

Total possible outcomes = 52

Two cards are drawn together from a pack. So, number of total possible outcomes for drawing two cards from a pack, n(T) = ⁵²C₂ = 1326

In a 52 cards pack, number of spades = 13

Number of clubs cards in pack = 13

Number of ways of choosing/drawing one spades card out of 13 and one one clubs out of 13 cards, n(E) = 169

Probability that one card is clubs and one card is spades on drawing two cards,

\( P(E) = \frac{ n(E)}{n(T)}\)

\(= \frac{169}{1326}\)

\(= \frac{13}{102}\)

Hence, required probability value is \(= \frac{13}{102}\).

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Answer:£872

Step-by-step explanation: