Please helpp absolute value

-|f| = -16

A) no solution
B) one solution
C) two solution

The measure of ∠VWX in this triangle VWX is, 68.9°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, The cosine rule of triangles,

Here, cosW = (VW² + XW² - VX²)/2(WX×WV).

cosW = (36² + 23² - 35²)/2(36×23).

cosW = 600/1656.

W = cos⁻¹(0.36).

∠W = 68.9°.

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Answer: 81.9 ??

Step-by-step explanation:

Based on the above, his his estimate is high and the good estimate for  is 2.2.

The estimation above is known to be high due to the fact that 5 is seen to be quite close to 4 so √5   will close to 2+ 3/2 = 2.5 and this is is lower than the estimate.

For one to have a good estimate, the  first step is to select a number that is seen between 2 and 3 such as 2.8 , 2,85 and have the square of them.

So, 2.1² = 3.41

2.2² = 4.8

2.3²= 5.28

Looking at the example given, √5  lies between 2.2 and 2.3 and as  such, Based on the above, his his estimate is high and the good estimate for  is 2.2.

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Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

The volume of the prism is 30. 96 m³

The formula for calculating the volume of a triangular prism is expressed with the equation;

V = Bl

Such the parameters are enumerated as;

To determine the base area, we have that;

Base area = 1/2 × bh

Substitute the values

Base area = 1/2 × 4 × 1.8 = 3. 6 m²

Then, we have;

Volume = 3. 6 × 8. 6

Multiply the values

Volume = 30. 96 m³

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The value of W in the expression 3W - 8 = - 14 is - 2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, 3W - 8 = - 14 solving for W is the same as finding the value of W.

Now we'll separate the variables and constants to other sides.

3W - 8 = - 14.

3W = - 14 + 8.

3W = - 6.

W = -6/3.

W = - 2.

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The length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

To find the length of the longest ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hallway forms a right-angled triangle, with one side measuring 14 feet and the other side measuring 8 feet.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the ladder) as follows:

\(c^2 = a^2 + b^2\)

where c is the hypotenuse (length of the ladder), and a and b are the lengths of the other two sides.

Plugging in the values:

\(c^2 = 14^2 + 8^2\)

\(c^2 = 196 + 64\)

\(c^2 = 260\)

c ≈ √260

c ≈ 16.86 feet

Therefore, the length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.

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Answer:

The greatest amount of pieces he would be able to use would be 9 because 8 divided by 5/6= 9 and 3/5.the 3/5 piece is too short.

Step-by-step explanation:

Answer:

x=37/36 or x=1.02778

Step-by-step explanation:

6(2-6x)=-25

12-36x=-25

-36x=-37

x=37/36 or x=1.02778

Answer:

1 1/36

Step-by-step explanation:

(6*2)-(6*6x)=-25

12-36x=-25

x<12

x>-25

Answer:

Connor will earn more interest because he is getting compound interest.

Step-by-step explanation:

I have to assume in this case that the interest is 3.5% Per year:

Simple Interest = P(r + t)

{P = Principle, r = interest rate, t = time)

Wendy = $8,300 x (3.5% x 25)

Wendy = $7,262.50 (2 d.p)

Wendy = $8,300 + $7,262.50

Wendy = $15,562.50

Compound Interest = \(P (1 +r )^{t}\)

{P = Principle, r = interest rate, t = time)

Connor = $8,300 x \((1 + 0.035)^{25}\)

Connor = $19,614.93

Wendy's Interest = $15,562.50 - $8,300 = $7,262.50

Connor's interest = $ 19,614.93 - $8,300 = $11,314.93

Connor earned more interest by $4,052.43

___________________________________________________

Hope this helps!

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To find the value of 2 + y², we need to solve the given equation and substitute the obtained value of y into the expression.

Given equation:

r^4 - 4y^2 + 8y^2 = 12y - 9

Combining like terms, we have:

r^4 + 4y^2 = 12y - 9

Now, let's simplify the equation further by factoring:

(r^4 + 4y^2) - (12y - 9) = 0

(r^4 + 4y^2) - 12y + 9 = 0

Now, let's focus on the expression inside the parentheses (r^4 + 4y^2).

From the given equation, we can see that the left-hand side of the equation is equal to the right-hand side. Therefore, we can equate them:

r^4 + 4y^2 = 12y - 9

Now, we can isolate the term containing y by moving all other terms to the other side:

r^4 + 4y^2 - 12y + 9 = 0

Next, we can factor the quadratic expression 4y^2 - 12y + 9:

(r^4 + (2y - 3)^2) = 0

Now, let's solve for y by setting the expression inside the parentheses equal to zero:

2y - 3 = 0

2y = 3

y = 3/2

Finally, substitute the value of y into the expression 2 + y²:

2 + (3/2)^2 = 2 + 9/4 = 8/4 + 9/4 = 17/4

Therefore, the value of 2 + y² is (B) 21/4.

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To find the value of 2 + y², we need to solve the given equation and substitute the obtained value of real number y into the expression.

Given equation:

r^4 - 4y^2 + 8y^2 = 12y - 9

Combining like terms, we have:

r^4 + 4y^2 = 12y - 9

Now, let's simplify the equation further by factoring:

(r^4 + 4y^2) - (12y - 9) = 0

(r^4 + 4y^2) - 12y + 9 = 0

Now, let's focus on the expression inside the parentheses (r^4 + 4y^2).

From the given equation, we can see that the left-hand side of the equation is equal to the right-hand side. Therefore, we can equate them:

r^4 + 4y^2 = 12y - 9

Now, we can isolate the term containing y by moving all other terms to the other side:

r^4 + 4y^2 - 12y + 9 = 0

Next, we can factor the quadratic expression 4y^2 - 12y + 9:

(r^4 + (2y - 3)^2) = 0

Now, let's solve for y by setting the expression inside the parentheses equal to zero:

2y - 3 = 0

2y = 3

y = 3/2

Finally, substitute the value of y into the expression 2 + y²:

2 + (3/2)^2 = 2 + 9/4 = 8/4 + 9/4 = 17/4

Therefore, the value of 2 + y² is (B) 21/4.

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The value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

To find the value of x, we can substitute the given values of z and y into the formula and solve for x.

The formula given is:

z = yx

Given that z = 4.0 and y = 7.6, we can rewrite the formula as:

4.0 = 7.6x

To solve for x, we'll divide both sides of the equation by 7.6:

4.0 / 7.6 = x

Simplifying the division gives us:

0.5263 = x

Therefore, the value of x is approximately 0.5263.

Let's double-check our result by substituting this value back into the formula:

z = yx

4.0 = 7.6 * 0.5263

Calculating the right side of the equation:

4.0 ≈ 4.0

The equation holds true, confirming that x ≈ 0.5263 is the correct value.

In summary, based on the given formula z = yx, with z = 4.0 and y = 7.6, the value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

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Step-by-step explanation:

first term (t1) = 6 (a)

Second term (t2) = - 18

Common ratio (r) = t2/ t1 = - 18 / 6 = -3

Now

14th term (t14)

=

\(a {r}^{14 - 1} \)

\(6 \times ( - 3)^{13} \)

= 6 X - 1594323

= 9565938

The 14th term of the geometric sequence 6, -18,54, ... is -9,565,938

Given:

6, -18, 54, ...

Common ratio, r = a2 ÷ a1

= -18 / 6

= -3

14th term = 6 × -3^(14-1)

= 6 × -3^13

= 6 × -1,594,323

= -9,565,938

Therefore, 14th term of the geometric sequence 6, -18,54, ... is -9,565,938

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Answer:

4 cups of flour and 6 batches

Step-by-step explanation:

if you look at the cups of flour you can tell that they're counting by 4 to. while the batches of cookies are counting by 6 take a look for yourself and you'll see it

In conclusion Since the coefficient a can be any nonzero constant, there are infinitely many possible graphs of f(x) that satisfy the given conditions.

How to find?

Since the zeros of the polynomial function are 3 - i/4 and 3 + i/4, we know that the function can be factored as:

f(x) = a(x - 3 + i/4)(x - 3 - i/4)

where a is a constant.

To simplify the expression, we can multiply the two factors in the parentheses:

f(x) = a[(x - 3)²2 - (i/4)²2]

Now, we can use the fact that i²2 = -1 to simplify further:

f(x) = a[(x - 3)²2 + 1/16]

This is the vertex form of a quadratic function with vertex (3, 1/16) and minimum value 1/16. Since the coefficient a can be any nonzero constant, there are infinitely many possible graphs of f(x) that satisfy the given conditions.

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Answer: 37°

Step-by-step explanation:

Answer:

x=12

Good Luck!!!

The correct answer is x=12

Answer:

it would be EC (B)

Step-by-step explanation:

I think the answer is b sorry if its whrong and good luck!

Therefore , the solution of the given problem of function comes out to be after 95 minutes of conversations, the balance is $12.28.

Each topic, mathematics, variable design, which is and both actual and hypothetical locations will be covered in the midterm exam questions. a catalog of the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.

Here,

We could type:

=> R = mT + b

Two locations on the line are provided to us: (34, 20.92) and (66, 17.08). These locations can be used to determine the slope of the line:

=> m = (R2 - R1) / (T2 - T1)

=> m = (17.08 - 20.92) / (66 - 34)

=> m = -0.12

The y-intercept can now be determined using the slope and one of the points:

=> b = R - mT

=> b = 20.92 - (-0.12)(34)

=> b = 24.48

Consequently, the line's solution is as follows:

=> R = -0.12T + 24.48

T = 95 can be substituted into the calculation to get the credit balance after 95 minutes of calls:

=> R = -0.12(95) + 24.48

=> R = 12.28

As a result, after 95 minutes of conversations, the balance is $12.28.

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Answer:

x= 1

y= 3

Step-by-step explanation:

21(-2+y) +7y = 42

-42 +28y+42

28y = 42+42

28y= 84

divide both sides y= 3

x= -2+3 x=1

x= + (3-2) = 1

42=42

10=10

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

d

Step-by-step explanation:

Answer:

8 (D)

Step-by-step explanation:

11 - 3 = x

11-3 = 8

hope this helps

Answer:

A) 0.78

B) 2.36

C) 1.54

D) 1

Step-by-step explanation:

I  just plugged in the numbers for x so like for A I did (11)+3=11

11+3=14

14/11=0.78 i hope i did that right

Answer:

x = 12.

Step-by-step explanation:

5/2x - 7 = 3/4x + 14.

put the like terms together keeping in mind that when a number crosses the equal sign it changes its sign and it acquires the opposite sign.

5/2x - 3/4x = 14 + 7

7/4x = 21.

divide both sides by the reciprocal of 7/4, the number next to the unknown

so x = 21 ×4/7

x = 12.

The sample size should be selected as 100 in order to be 99% confident that the sample mean differs from the population mean by ±0.5 km (or within a range of 0.5 km).

To determine the sample size needed to estimate the distance students travel to school with a 99% confidence level and a margin of error of ±0.5 km, we can use the formula for sample size calculation:

n = (Z * σ / E)^2

where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence level, which corresponds to Z = 2.576)

σ = population standard deviation

E = margin of error

Plugging in the given values:

n = (2.576 * 2.25 / 0.5)^2

Calculating this equation gives us the required sample size:

n ≈ 99.98

Since we cannot have a fractional sample size, we round up to the nearest whole number.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

A

Step-by-step explanation: