Solve 5x^2 – 2x – 3 = 0 using the quadratic formula.

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

where is the diagram? please provide the diagram.

x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Answer:

the answer to your question is 50.

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

120 in³

Step-by-step explanation:

8 in • 3 in • 5 in

8 in • 15 in²

120 in³

Answer:

120 in.²

Step-by-step explanation:

8 × 3 × 5 = 120

120 in.²

Answer:

B

Step-by-step explanation:

The meaning in the situation is B; positive correlation; as time passes, the CPI increases.

The correlation coefficient is the degree of association between two quantities in terms of linear relation. The range of correlation coefficient is -1 to 1

If the correlation is -1, then that refers as the one quantity increases, the other quantity decreases , also the correlation is 0, then there is no linear relationship between two variables.

There are two types of Correlation;

Positive Correlation= With Increase in x value, y value also increases, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases, we call it negative correlation.

As we can see from the points plotted on the graph ,with increase in x value , y value decreases.

Hence, positive correlation; as time passes, the CPI increases.

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1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

D.

Step-by-step explanation:

The answer is 117

Answer: The answer is not listed

Step-by-step explanation:

Answer:

Slope = 0.25

Step-by-step explanation:

m= -3 / -12 = -1 / -4 = 0.25

distance between x's = 12

distance between y's = 3

hope this helped thank you!

Functions are used to show relationship between variables using equations. The number of hours the students need to study to score at least 90 is 15.25 hours

Given

\(f(h) = 4(h + 11) -15\)

To calculate h, when the expression is 90.

We have:

\(4(h + 11) -15 = 90\)

Add 15 to both sides

\(4(h + 11) = 90 + 15\)

\(4(h + 11) = 105\)

Divide both sides by 4

\(h + 11 = 26.25\)

Subtract 11 from both sides

\(h = 26.25-11\)

\(h = 15.25\)

Hence, the students need to study for at least 15.25 hours to have at least 90 marks.

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c.) 1/2³ i got it right on assignment

The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

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Answer:

488 cm² (Option B)

Step-by-step explanation:

The figure consists of a rectangle & a right angled triangle. So,

Area of the complex figure = Area of rectangle + Area of the triangle

1) Length of the rectangle = 22 cm

Width of the rectangle = 17 cm

Area of rectangle = 22 × 17 = 374 cm²

2) Length of perpendicular of the triangle = 22 - 10 = 12 cm

Length of base of triangle = 19 cm

Area of a triangle = \(\frac{1}{2} \times 12 \times 19 = 114 cm^2\)

∴ AREA OF THE FIGURE = 378 + 114 = 488 cm²

Domain: \(\{x \in \mathbb{R} \space | \space x \in (-6,\infty) \}\)

Range: \(\{y \in \mathbb{R} \space | \space y \in (5, -\infty) \}\)

The graph is continuous in the interval \(-6 \leqslant x < \infty\)

I believe the expression you provided is:

(log(x) + 4x^3) / x

To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.

There are two types of discontinuities to look for:

Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.

Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.

To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.

So we solve the equation:

x = 0

This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.

Therefore, the only discontinuity of the expression is at x = 0.

Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.

The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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Answer: 47.5

Step-by-step explanation:

Given

2x-10+x+x=180

combine like term x      

       4x-10=180

addition property of equality (add 10 on both sides)

             4x=190

division property (divide 4 on both sides)

               x=47.5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

your answer will be 47.5

Answer:

I would gently let her know, then help her come to terms with it everytime she asked

Step-by-step explanation:

Answer:

\(\boxed{12u^3+8u^2-6u+9}\)

Step-by-step explanation:

\((8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3\)

Once

\(8x+4x = 12x, \text{ as } x = u^3\)

\(8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}\)

You don't need to factor.

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Answer:

i can help one sec

Step-by-step explanation:

Answer:

F(x)1/3x-7

Step-by-step explanation:

f(x)=(x-21)x1/

=/x-21

The number of items Shelby will donate as a function of x is f(x)=x-21.

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet and will drop off of the remaining items to a local donation center. Therefore, we can write,

Total number of clothes = x

Number of clothes she will keep in her closet = 21

Now, the function can be written as,

Function(x) = Number of items Shelby will donate

f(x) = x - 21

Hence, the number of items Shelby will donate as a function of x is f(x)=x-21.

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The area of the sector is 37.7 ft.

A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.

The formula for the area of a sector is given by

Where θ is the central angle in degrees, and r is the radius of the circle

Here we have

A circle has a radius of 4 ft.  

The central angle of sector formed = 270°

Using the formula, Area of sector = (θ/360°) × π r²

Area of the given sector = [ 270/360] × 3.14 × (4)²

= [0.75 ] × [50.24]

= 37.68 ft

= 37.7 ft

Therefore,

The area of the sector is 37.7 ft.

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Answer:

34 units

Step-by-step explanation:

I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.

Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.

Finally, I solve for the area of the rectangle:

45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)

Answer:

We can say that he used a total of 5/8 gallons of glue

let x - glue to make purple slime

5/8 = 2/5 + 1/5 + x

5/8 = 3/5 + x             (LCD of 5 and 8 is 40)

25/40 = 24/40 + x

25/40 - 24/40 = 24/40 - 24/40 + x    (subtract 24/40 both sides)

x = 1/40

5/8 = 2/5 + 1/5 + 1/40

5/8 = 3/5 + 1/40

25/40 = 24/40 + 1/40

25/40 = 25/40

Therefore, the glue to make purple slime is 1/40 gallons.

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Step-by-step explanation:

The probability that the couple will have 3 normal girls is approximately 0.422

Since both parents are normal, they both have to be heterozygous carriers for the recessive allele that causes albinism. We can represent the normal allele with the letter N and the albino allele with the letter n. Then, we can write the genotypes of the parents as Nn x Nn.

The daughter is albino, so her genotype must be nn. The son is normal, so his genotype must be Nn.

We want to find the probability that the couple will have 3 normal girls. We can use the multiplication rule of probability to find this probability:

P(3 normal girls) = P(normal girl) x P(normal girl) x P(normal girl)

The probability of having a normal girl is 3/4 since there are three possible genotypes that result in a normal phenotype (NN, Nn, Nn) out of a total of four possible genotypes. The probability of having a normal boy is also 3/4, for the same reason.

Therefore, the probability of having 3 normal children (in this case, girls) is:

P(3 normal girls) = (3/4) x (3/4) x (3/4) = 27/64 ≈ 0.422

So, the probability that the couple will have 3 normal girls is approximately 0.422, or about 42.2%.

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