if pq and rs intersect to form four right angles which statement is true A: PQ 1 RS B. PQ and Rs are skew C. PQ and Rs are parallel D: PQ RS

Answer:

-8 (or) 5 and 5 (or) -8

Step-by-step explanation:

Let one of the numbers = x

Let other number = y

As the sum of two numbers = -3

x + y = -3

x = -3-y

As the the result of multiplication = -40

xy = -40

(-3-y)*y = -40

-3y-y² = -40

-y²-3y+40 = 0

-(y²+3y-40) = 0

-(y+8)(y-5) = 0

(-y-8)(y-5) = 0

-y-8 = 0 (or) y-5 = 0

-y = 8 (or) y = 5

y = -8 (or) y = 5

when y = -8

x = -3-y

x = -3-(-8)

x = -3+8

x = 5

when y = 5

x = -3-y

x = -3-5

x = -8

Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:

((x1 + x2)/2 , (y1 + y2)/2)

((5 + -13) / 2 , (-4 + 12) / 2)

( -8 / 2 , 8 / 2)

(-4 , 4)

According to the question The three hands collectively complete 86,400 rotations in a 24-hour period.

In a day, the second hand completes a full rotation 60 times in one minute, the minute hand completes a full rotation 60 times in one hour, and the hour hand completes a full rotation 12 times in 12 hours. Considering a 24-hour day, the hour hand will go around twice.

Therefore, the total number of rotations for the second hand, minute hand, and hour hand combined in a day is calculated as follows: 60 rotations/minute * 60 minutes/hour * 24 hours/day = 86,400 rotations. Hence, the three hands collectively complete 86,400 rotations in a 24-hour period.

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Answer: x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)​

4x+8y-3x-8y

x+16y

The Recurrence interval for tornadoes in tuscaloosa county is 0.909

What is recurrence interval ?

The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence

Given that,

Total number of tornadoes is 77

Total time for Recurrence is 70 years

Using these data,

Recurrence = Total time for recurrence / Total number of tornadoes

Substituting we get,

Recurrence interval = 70/77

= (70/77)

= (0.909)

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Julia will say that £1 is worth 1.21 euros.

A currency’s exchange rate means the value of one currency in relation to another currency. Its means rate in which one currency will be exchanged for another.

Given that:

£1 to dollars: 1.21 dollars

Dollars to euros is:

1 dollar = 1 euro / 1 euro = 1 dollar

Therefore, 1.21 dollars = 1.21 euros

So, £1 = 1.21 dollars

£1 = 1.21 euros/1 dollar

£1 = 1.21 euros

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The vertex form of the quadratic equation is f(x) = -3(x - 2)² + 5. The coordinates of the vertex are (2, 5).

We are given a quadratic function. The equation of the quadratic function is f(x) = -3x² + 12x - 7. We need to convert the equation to vertex form. We can convert a quadratic equation to its standard vertex form by "completing the square" method. The calculations are done below.

f(x) = -3x² + 12x - 7

f(x) = -3(x² - 4x) - 7

f(x) = -3(x² - 4x + 2² - 2²) - 7

f(x) = -3(x² - 4x + 2²) - 7 + 3*2²

f(x) = -3(x - 2)² - 7 + 12

f(x) = -3(x - 2)² + 5

The coordinates of the vertex are (2, 5).

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Answer:

3216 grams of Zn

Step-by-step explanation:

It is not clear from the question if the ratio is based on the chemical formula, and is thus the ratio of atoms, or if it is based on mass (in g).  I'll assume it is based on the numbers of Zn and Cu atoms.

Let's convert the mass of copper, 494 grams, to moles of copper (representative of the number of atoms).  The molar mass of copper, Cu, is 63.55 grams/mole.  

Moles Cu =(494 grams)/(63.55 grams/mole) = 7.77 moles Cu

If zinc (Zn) is in a ratio of 19/3, we would have:

  (19 moles Zn/3 moles Cu)*(7.77 moles Cu) = 49.2 moles of Zn

The molar mass of zinc is 65.38 grams/mole

The mass of 49.2 moles of Zn is:

(49.2 moles Zn)(65.38 grams/mole) = 3216 grams of Zn

Answer:

\(-1\frac{1}{10}\)

Step-by-step explanation:

\(-\frac{8}{5} +\frac{1}{2}\)

→ Make a common denominator

\(-\frac{16}{10} +\frac{5}{10}\)

→ Simplify

\(-\frac{11}{10}\)

→ Convert into mixed number

\(-\frac{11}{10}=-1\frac{1}{10}\)

Answer: the one in blue

Step-by-step explanation:

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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(2/x) + 15  and   2/ ( x+15 ) are two possible ways by which we can represent the desired equation.

Expression can be written as the mixtures of constants and variables mixing in the appropriate order with algebraic identities so, as to give meaningful expression.

Variables denoted by a, b, c ........x, y, z

Constants ranging from -∞ to ∞

Algebraic identities -, + , < , > .....

So, to write the statement as the expression we must follow what the statement is saying.

Given statement,

sum of ​2 divided by x and 15

To represent it in expression form,

= (2/x) + 15  and,

= 2/ ( x+15 )

This is the possible two ways by which we can represent the desired statement in the given format.

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A solution to the given compound inequality is m < 6 or m > 2.

In Mathematics, it is very important to note that you do not flip the inequality symbol (sign) when you are solving an inequality by multiplication or division with a positive numerical value (number).

In this context, we can logically deduce that you would flip the inequality symbol (sign) when you isolate the variable in an expression such as it's highlighted in the following steps:

4 - m < - 2

-m < -2 - 4

-m < -6

m < 6

For the second inequality, we have;

12 < -5m + 2

12 - 2 < -5m

10 < -5m

m > -10/5

m > 2.

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Answer:

1,5,9

Step-by-step explanation:

Answer:

(1.5,9)

Step-by-step explanation:

pls give this brainliest

Answer:

9b-12<9b+8

Step-by-step explanation:

b<20

Moving from autarky to free trade, domestic production decreases. This adjustment reflects the impact of international trade on domestic markets.

In the given scenario, a  represents the autarky domestic price, and b represents the free trade world price. The transition from autarky to free trade involves opening up the domestic market to international competition. As a result, domestic producers face competition from lower-priced imported bikes available at the world price. This competition leads to a decrease in domestic production.

The formula for domestic production in the context of moving from autarky to free trade would be:

Domestic Production = Demand - Imports

In autarky, with a higher domestic price (a), domestic producers have a higher incentive to produce and supply bikes to meet the demand. However, with the introduction of free trade and the lower world price (b), imports become more attractive to consumers due to their lower cost. Consequently, domestic producers face a decline in demand, as some consumers switch to purchasing imported bikes.

The decrease in domestic production is a result of the reduced market share of domestic producers as imports become more competitive in terms of pricing. The extent of the decrease would depend on the price difference between the domestic price (a) and the world price (b), as well as factors such as consumer preferences and the elasticity of demand.

Therefore, the transition from autarky to free trade leads to a decrease in domestic production as domestic producers face increased competition from lower-priced imported bikes. This adjustment reflects the impact of international trade on domestic markets.

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Answer:

I think the answer is D.

Answer:

m=-1/2

Step-by-step explanation:

slope m=y2-y1/x2-x1

m=-8-(-7)/6-4

m=-1/2

Answer:

it's say download FPD SORRY I CAN'T SLOVE IT

Answer/Step-by-step explanation:

More can be added to create the original green shade by taking notes of the ratio of the ml of blue paint to yellow paint in the first mixture.

The ratio of blue paint to yellow paint that gives a shade of green is 17 ml to 13 ml.

For more to be added to create the original shade of green, it means for every 17 ml of blue paint added, you'd also need to add exactly 13 ml of yellow paint.

For whatever the amount you're adding, just maintain the ratio of the mixture.

Answer:

y=-2x+5

Step-by-step explanation:

First, find the slope:

m=(y2-y1)/(x2-x1)  ==> slope formula where m is the slope

(–1, 7), (1, 3)  ==> (x1=-1, y1=7), (x2=1, y2=3)

m=(3 - 7)/(1 - (-1)) ==> plugin y2=3, y1=7, x2=1, and x1=-1 into the slope formula

m=(-4)/(1 + 1)  ==> simplify

m=(-4)/2

m=-2  ==> the slope is -2

y=mx+b  ==> slope-intercept equation

3=(-2)(1)+b  ==> plugin the slope(m=-2) and point B(1, 3)  ==> (x=1, y=3)

3=-2+b  ==> solve for b

3+2=-2+2+b  ==> add 2 on both sides to isolate b

b=5  ==> simplify

y=-2x+5  ==> plugin the slope and b=5 into the equation

One half times the difference of twenty and a variable is two thirds.

Then the equation to the given situation is 1/2 (20-y) = 2/3.

Given that, one half times the difference of twenty and a variable is two thirds.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the variable be y.

Now, equation for the given situation is 1/2 (20-y) = 2/3

The equation to the given situation is 1/2 (20-y) = 2/3.

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The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

Answer:

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

Step-by-step explanation:

You’re only supposed to have one number to the left of the decimal point in scientific notation.

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

The probability of a defective rivet be to ensure that only 11% of all seams need reworking must be less than or equal to 11%.

Let's say the probability of a defective rivet is p. The probability of k defective rivets in n seams is given by the binomial distribution:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the number of combinations of n items taken k at a time.

We want to find the smallest value of p such that P(k) <= 0.11 for k = 0, 1, 2, ..., n. In other words, we want the smallest p such that the probability of having 0 to n defective rivets is less than or equal to 11%.

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Answer:

y = 4

Step-by-step explanation:

8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side

8y + 32 - 2y + 2 = 70 - 3y

6y + 34 = 70 - 3y ( add 3y to both sides )

9y + 34 = 70 ( subtract 34 from both sides )

9y = 36 ( divide both sides by 9 )

y = 4

Answer:

base :6 units

height:4units

area of a triangle: 1/2 ×b×h

1/2× 6×4=12

12sqaure units should be the area

The question is incomplete, but if we assume that you mean AD = TD , we have :

AD = TD ===》 5x + 3 = x + 27

===》 4x = 24

===》 x = 6

_________________________________

AD = 5 × ( 6 ) + 3

AD = 30 + 3

AD = 33

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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