two angles complementary to the same angle are congruent to each other True/False

Answer:

Step-by-step explanation:

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Step-by-step explanation:

when applying a mathematical basic operation, we do this to the expressions of each function.

g(x) - f(x) = (x² + 5) - (4x - 7) = x² - 4x + 12

Answer:

Jackson spent $59.48 altogether

Step-by-step explanation:

15.98+19= 34.98

34.98+24.50= 59.48

Answer:

88.2353%

Step-by-step explanation:

88.2352941%

3 is 88.2353% of 3.4

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.6/x=3/8

do cross multiplication

x*3=6*8

x=48/3

x=16

2.b/8=3/4

do cross multiplication

b*4=8*3

b=24/4

b=6

4.n/8=35/7

do cross multiplication

35*8=7*n

280=7n

280/7=n

40=n

The probability that the sampling error would be more than 1.5 hours, obtained from the z-score table is about 39.36%

A z-score is an indication or measure of the number of standard deviations, of a datapoint from the mean of a distribution.

The standard error of the mean = The population standard deviation ÷ (The square root of the sample size)

Therefore; The standard error = $17/√9 ≈ $5.67

The z-score for a value of 1.5 units above the can be found as follows;

z-score = (The value less the mean)/(The standard error)

Therefore; z-score ≈ (76 + 1.5 - 76)/5.67 ≈ 0.265

The z-score table indicates that the probability of obtaining a z-score  larger than 0.265 is; 1 - 0.60642 ≈ 0.3936

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the answer is 138, because you divide first then add and then multiply.

Answer:

138 (if the exponent 3 in strictly on the 5)

5832 (if the exponent 3 in on the whole problem)

Step-by-step explanation:

Answer:

No, we can't determine how many coins Jada has.

She will have 22 pennies and 33 dimes.

The number of pennies are 22 and the number of dimes are 33.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of Jada's pennies to dimes is 2 : 3.

Total number of coins Jada has 55

Let the number of pennies be 2x and the number of dimes be 3x

Now, number of pennies = 2x/5x ×55

= 22

Then, number of dimes =55-22=33

Therefore, the number of pennies are 22 and the number of dimes are 33.

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Answer:

(11,2)

Step-by-step explanation:

Answer:

its actually (5,8)

Step-by-step explanation:

Midsegment is half the parallel side:

ORT is isosceles, the angles O and R are equal and measure:

IRN is isosceles, the angles N and I are equal and measure:

ABC is isosceles, the angles A and B are equal and measure:

Step-by-step explanation:

Let x be the amount invested at 6% so that 18000-x is the amount invested at 7.5% both in dollars.

The total interest in 3 years is $3330 so we can write: 0.06x(3)+0.075(18000-x)(3)=3330

Solve for x:

0.06x(3)+0.075(18000−x)(3)=3330

Step 1: Simplify both sides of the equation.

0.06x(3)+0.075(18000−x)(3)=3330

0.06x(3)+−0.225x+4050=3330(Distribute)

0.18x+−0.225x+4050=3330

(0.18x+−0.225x)+(4050)=3330(Combine Like Terms)

−0.045x+4050=3330

−0.045x+4050=3330

Step 2: Subtract 4050 from both sides.

−0.045x+4050−4050=3330−4050

−0.045x=−720

Step 3: Divide both sides by -0.045.

−0.045x/−0.045=−720/−0.045

x=16000

x=16000

So, the amounts borrowed are:

Bank at 6% = 16000

Bank at 7.5% = 2000

Answer:

A.

Step-by-step explanation:

Answer:

y=3x-3

Step-by-step explanation:

all you need to do is get the -3x to the other side of the equal sign

Answer:

Step-by-step explanation:

312

Answer:

36.92%

Step-by-step explanation:

180-132=48. Now we have to find 48 of 130 to find the percentage increase. 48 out of 130 = which equals 36.92.

Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

Answer:

y= -5x-25

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...

Therefore, we substitute the value for the given equation

10 = -5*-7 + b

10 = 35 + b

b = 10 - 35

b = -25

Therefore we substitute the value for m and b to the equation of line

y = -5x - 25

Answer:

Tan(x) = 1/\(\sqrt{3}\)

We know that Tan 30 = 1/\(\sqrt{3}\)

Therefore, x = 30 degrees

Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

The lines "a" and "b" shown in the picture are parallel and crossed by a transversal line.

The angle that measures 65º and the adjacent angle to the one that measures (x+72)º are corresponding angles, which means that they are congruent.

Both adjacent angles are supplementary, which means that they add up to 180º

From this expression, you can determine the value of x, first, take the parentheses away and add the like terms:

Next, subtract 137 from both sides of the equation:

The value of x is 43 and the measure of the given angle is:

x+72 = 43+72 = 115º

Dr. Lee questions the reliability of his intelligence test after observing inconsistent results from the first and second administrations to a group of blue-collar workers.

Dr. Lee now questions whether his test is reliable.

Dr. Lee is questioning the reliability of his test after observing wildly different results from the first and second administrations of the intelligence test to a group of 25 blue-collar workers.

The significant discrepancy in scores raises doubts about the consistency and dependability of the test in measuring intelligence accurately.

Reliability refers to the consistency and stability of a measurement instrument over time and across different conditions.

The inconsistent results suggest that the test may not be yielding consistent and reproducible outcomes, leading Dr. Lee to question its reliability in accurately assessing the intelligence of blue-collar workers.

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Answer:

ba

Step-by-step explanation:

The solution of the given equation is x = 2.1

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an equation, 3ˣ = 10, we need to find the solution of it,

So, solving for x,

3ˣ = 10

Taking log both sides,

㏒ 3ˣ = ㏒ 10

Since, ㏒ aⁿ = n ㏒ a

Therefore,

x ㏒ 3 = ㏒ 10

x = ㏒ 10 / ㏒ 3

x = 1/0.477

x = 2.095

x ≈ 2.1

Hence, the solution of the given equation is x = 2.1

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The complete question is attached

Charge on each sphere is -3.4 × 10⁻⁹ C.

According to Coulomb’s law, the force F between two charged bodies, having charges q1 and q2 and separated by a distance r, is given by

F = (k |q1 q2|) / r² where k is a constant equal to 8.99 × 10^9 N m²/C²

Given:F1 = F2 = 0.0360 N; k = 8.99 × 10^9 N m²/C²; r = 24.3 cm = 0.243 m

Let q be the charge on each sphere.

Because both spheres have equal amounts of charge, the force acting on each sphere is the same.

Hence, F = F1 = F2(q²) = F * r² / (k) = (0.0360 N) * (0.243 m)² / (8.99 × 10^9 N m²/C²)

Charge on each sphere is -3.4 × 10⁻⁹ C.

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Answer:

C. 94

Step-by-step explanation:

|A| = \(\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\)

det(A) = a * \(\left[\begin{array}{ccc}e&f\\h&i\\\end{array}\right]\) - b * \(\left[\begin{array}{ccc}d&f\\g&i\\\end{array}\right]\) + c * \(\left[\begin{array}{ccc}d&e\\g&h\\\end{array}\right]\)

OR

det(A) = aei - afh - bdi + bfg + cdh - ceg

|A| = \(\left[\begin{array}{ccc}-2&-2&-5\\2&7&-3\\8&9&9\end{array}\right]\)

det(A) = -2 * \(\left[\begin{array}{ccc}7&-3\\9&9\\\end{array}\right]\)  - (-2) * \(\left[\begin{array}{ccc}2&-3\\8&9\\\end{array}\right]\) + (-5) * \(\left[\begin{array}{ccc}2&7\\8&9\\\end{array}\right]\)

OR

det(A) = (-2)(7)(9) - (-2)(-3)(9) - (-2)(2)(9) + (-2)(-3)(8) + (-5)(2)(9) - (-5)(7)(8)

det(A) = 94

Answer: -33,-27,-2,0,19

Step-by-step explanation: ascending: in order from smallest to largest. With negative numbers, the bigger the number is the smaller the value. For example -4 has less value then -2

Answer:

85,696

Step-by-step explanation:

4 x 104 = 416

2 x 103 = 203

No sign between parentheses means that you have to multiply the two outcomes of the parentheses.

416 x 203 = 85,696

Answer:

The answer is 72

Step-by-step explanation:

You'll do 42 divided by 7 times 2

42/7x2

Hope it helps.

A car travels 72 km on 12 liters of petrol.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

A Car travels 42 km on 7 liters of petrol.

Now,

Since, On 7 liters of petrol a car travel 42 km

Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7

                                                                             = 6 km

So, On 12 liters of petrol distance cover by a car = 6 × 12

                                                                           = 72 km

Thus, A car travels 72 km on 12 liters of petrol.

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