What’s the equivalent number 0.52 × (20 - 22 × 3) × (2
5 × 25)

Answer:

The answer is D AC because that line is opposite of angle B

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.

  RS +ST = RT

  (5y +5) +(4y +8) = 67

Simplifying, we get ...

  9y +13 = 67

  9y = 54 . . . . . . . . subtract 13

  y = 6 . . . . . . . . . divide by 9

RS = 5y +5 = 5·6 +5 = 35

ST = 4y +8 = 4·6 +8 = 32

The values of interest are ...

Answer:

m=2

Step-by-step explanation:

use points (2,2) and (6,10)

(find y of slope)10-2=8

(find x of slope)6-2=4

8/4=2

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, the data provides sufficient evidence to conclude that there is a difference in average GPA between the population of sorority students and the population of unaffiliated female students on this university campus.

At the null hypotheses, it is tested if the means are equal, that is, their subtraction is of 0, hence:

\(H_0: \mu_1 - \mu_2 = 0\)

At the alternative hypotheses, it is tested if they are different, hence:

\(H_1: \mu_1 - \mu_2 \neq 0\)

For each sample, they are given as follows:

For the distribution of differences, they are given by:

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{s}\)

In which \(\mu = 0\) is the value tested at the null hypothesis.

Hence:

\(z = \frac{\overline{x} - \mu}{s}\)

z = -0.06/0.0276

z = -2.17.

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the means are different of value, with z = -2.17, it is found that since the p-value of the test is less than 0.05, the data provides sufficient evidence to conclude that there is a difference in average GPA between the population of sorority students and the population of unaffiliated female students on this university campus.

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Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

Answer:

2x^2 = (2 x 2) x (2 x 2)

= 4 x 4

= 16

I hope this helps you

Answer:

69.3548%

Step-by-step explanation:

Given the value of b and c, we want to get the value of a

The three sides represent the sides of a right triangle

By the use of Pythagoras' theorem, we can get the value of a

From the diagram, the disgonal represents the hypotenuse of the right triangle

According to Pythagoras' theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

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:

-600

Step-by-step explanation:

-3 x 2 is -6

then add the zeros

This equation has infinitely many solutions.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here, we have

Given: 3x+4y = -10...(1),

y = -3/4x - 5/2....(2)

We solve this linear equation and we get

We multiply equation (2) by 4 and we get

4y + 3x = -5(2)

4y + 3x = -10

Hence, this equation has infinitely many solutions.

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Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or \(\frac{-1}{10}\) in the fraction form

Answer:

i think u got it

Step-by-step explanation:

Answer:

0.127 ft per min

Step-by-step explanation:

I used the ai app to verify my answer

Answer:

11u

Step-by-step explanation:

Add 7u and 4u

Hope this helps! :)

Answer: P(t)=400-32t

Answer: 400

Step-by-step explanation:

Each step of Cho's solution should be matched to its appropriate justification as follows;

\(B=(x_1+\frac{a}{b} (x_2-x_1),(y_1+\frac{a}{b} (y_2-y_1))\)    ⇒  Fractional distance formula

\(=(x_1+\frac{3}{4} (x_2-x_1),(y_1+\frac{3}{4} (y_2-y_1))\)        ⇒  Substitute a = 3 and b = 4.

\(=(2+\frac{3}{4} (6-2),(4+\frac{3}{4} (8-4))\)               ⇒  (x₁, y₁) → (2, 4) and (x₂, y₂) → (6, 8)

= (2 + 3), (4 + 3)                                     ⇒  Simplify (1st use)

= (5, 7)                                                   ⇒  Simplify (2nd use).

In this scenario, line ratio or fractional distance formula would be used to determine the coordinates of the point C on the directed line segment AB that partitions the segment into a ratio of 3 to 4.

In Mathematics and Geometry, line ratio or fractional distance formula can be used to determine the coordinates of point C and this is modeled by the following mathematical expression:

C(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

\(C=(x_1+\frac{a}{b} (x_2-x_1),(y_1+\frac{a}{b} (y_2-y_1))\\\\C=(2+\frac{3}{4} (6-2),(4+\frac{3}{4} (8-4))\)  

C = (2 + 3), (4 + 3)

C = (5, 7)

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Answer:

5.9+z=−9

Step 1: Simplify both sides of the equation.

z+5.9=−9

Step 2: Subtract 5.9 from both sides.

z+5.9−5.9=−9−5.9

z=−14.9

Answer:

z=−14.9

Step-by-step explanation:

I hope this can help!!!

To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

Step-by-step explanation:

Answer:

y = 2x - 4

Step-by-step explanation:

y = (slope)x + (y intersept)

y = (2)x + (-4)

y = 2x - 4

Answer:

561.5 inches

Step-by-step explanation:

You just add all the four numbers together

123+97+237+104.5=561.5

An expression is defined as a set of numbers, variables, and mathematical operations. The value of (16/81)^(1/2) is 4/9.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the given expression (16/81)^(1/2) can be calculated as shown below,

\((\dfrac{16}{81})^{\frac12}\\\\=\sqrt{\dfrac{16}{81}}\\\\= \dfrac49\)

Hence, the value of (16/81)^(1/2) is 4/9.

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Answer:

★The square root of 16/81 = 4/9.

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

Answer:

93

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

52 + 35 + x = 180

87 + x = 180

x = 93 degrees