Convert the following into standard form:
4-3i
1+2i

Answer:

-375

Step-by-step explanation:

-75 * 5

= -375.

Answer:

21.25 is your answer

Step-by-step explanation:

42 + 32 = 84

84 divided by 4 = 21.25

Hope this helps you :)

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Answer:

I think 5 tomatoes cost $1.80

Answer:

Ralphs.

Step-by-step explanation:

Ralphs:

5 tomatoes = $1.80

    1 tomato = $0.36

Vons:

3 tomatoes = $1.14

    1 tomato = $0.38

Hence, Ralphs would be a better buy.

The volume of the given pyramid is  64 cubic inches.

The volume of the pyramid is the product of one-third of the height and square of the base side length.

The volume of Pyramid A =  (1/3)(side²)(height)

The volume of a square pyramid is equal to one-third of the product of the base’s area and the pyramid’s height. The formula is:

V = (1/3) × a² × h

where a is the length of the square base, and h is the height (or altitude).

We are given that;

h = 3 inch, a = 8 inch, and hypotenuse = 5 inch,

Now, we can plug in the values into the formula and get:

V = (1/3) × 8² × 3

V = (1/3) × 64 × 3

V= (64 x 3)/3

V = 64 inch³

Therefore, by the given data the volume of the pyramid will be 64 cubic inches.

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\(\dfrac{5 \sin 87^{\circ} + \tan 72^{\circ} - \sec 5^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\sin\left(90^{\circ}-3^{\circ} \right) + \tan\left(90^{\circ}-18^{\circ} \right)-\sec\left(90^{\circ}-85^{\circ} \right)}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\cos 3^{\circ} + \cot 18^{\circ}-\csc 85^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=1\)

Answer:  air pressure

Whenever you hear things like "high pressure" or "low pressure" on weather reports, they measured the pressure using a barometer. Knowing the air pressure helps determine if there is a higher chance of rain or storms for instance.

Typically but not always, high pressure correlates to sunny days and dry weather. Low pressure often brings about rain. This is of course a very oversimplified viewpoint.

Answer:

what genre babe‍♀️

Answer:

It depends on a lot what kind you like and if u have watched a lot

the promised Neverland

Black Clover

Aot

HxH

Monster

Code grass

The classroom of the elite

Psycho pass season 1 only

COMEDY

The disastrous life of saiki k

Kaguya sama love is war

a) The expected May rainfall is 5.0 inches.

b) The probability of May rainfall falling within one standard deviation of the mean is 0.6827, and within two standard deviations is 0.9545.

(a) To calculate the expected May rainfall, we need to find the mean (μx) of the uniform distribution. The mean of a uniform distribution can be found using the formula:

μx = (a + b) / 2

where a and b are the lower and upper limits of the distribution, respectively. In this case, a = 2 and b = 8. So,
μx = (2 + 8) / 2
μx = 10 / 2
μx = 5

(b) To find the probability that the observed May rainfall will fall within one and two standard deviations of the mean, we first need to calculate the standard deviation (σx) of the uniform distribution. The formula for the standard deviation of a uniform distribution is:

\(σx = √((b - a)^2 / 12)\)

Using the values of a and b from before, we have:

\(σx = √((8 - 2)^2 / 12)\)
σx = √(36 / 12)
σx = √3

For a uniform distribution, the probabilities of falling within one and two standard deviations of the mean are as follows:

- Within one standard deviation (±1σx): 68.27% or 0.6827
- Within two standard deviations (±2σx): 95.45% or 0.9545

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Answer:

Step-by-step explanation:

The distribution of x is a continuous probability distribution. This could include distributions such as the normal distribution, the exponential distribution, the gamma distribution, and others.

1. A random variable is a variable whose values can be randomly selected from a given set.

2. A cumulative distribution function (CDF) is a function that gives the probability that a random variable takes on a value less than or equal to a given value.

3. A strictly increasing CDF means that for any two values of the random variable, if one value is greater than the other, then the probability of the larger value is greater than the probability of the smaller value.

4. A continuous CDF means that the CDF does not have any jumps or discontinuities.

5. Therefore, the distribution of the random variable x is a continuous probability distribution, which could include distributions such as the normal distribution, the exponential distribution, the gamma distribution, and others.

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The radius of the sector is 3cm and the central angle is approximately 70.53 degrees.

Now, we are given the length of the arc of the sector, which we can call "l", and the area of the sector, which we can call "A".

To find the radius, we can use the formula:

r = (l/2π) x circumference

where π (pi) is a mathematical constant approximately equal to 3.14. The circumference is the distance around the circle, which we can find using the formula:

circumference = 2πr

Combining these two formulas, we can solve for the radius:

r = (l/2π) x 2πr

r = l/2

So, the radius of the sector is half of the length of the arc. In this case, the length of the arc is given as 6cm, so the radius is:

r = 6/2

r = 3cm

Now, let's find the central angle. We can use the formula:

central angle = (area/circle area) x 360 degrees

The circle area is given by the formula:

circle area = πr²

Substituting the value of radius we obtained earlier, we can calculate the circle area as:

circle area = π(3)²

circle area = 9π

The area of the sector is given as 15cm². So, we can substitute the values of area and circle area in the formula for central angle to get:

central angle = (15/9π) x 360

central angle ≈ 70.53 degrees

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Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

Answer:

216 square feet

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

w= width

h= height

l= length

Use the formula with the given dimensions:

2 (6 • 2 + 12 • 6 + 12 • 2)

= 2 (12 + 72 + 24)

= 2 (108)

= 216

Surface area is measured in square feet

(feet in this case)

Hope this helps

Speed of bicycle in miles per hour will be 12.85 mi/h.

What is the definition of speed?

The following is the definition of speed:

The rate at which the position of an item changes in any direction.

The ratio of distance travelled to time spent travelling is described as speed. Speed is a scalar number since it has just one direction and no magnitude.

Formula for Speed

The speed formula is as follows:

s=d/t

Where,

s denotes the speed in metres per second, d the distance travelled in metres, and t the time in seconds.

Now,

Given Diameter=18 inch

then distance covered by cycle in 4 rotation in one second =4*π*diameter

=4*22/7*18

=226.28

Then Speed=226.28 in/s

As 1 mike=63360 inch and 1 hour= 3600 seconds

then Speed in miles/hour=226.28*3600/63360

=12.85 mi/h

hence,

          Speed of bicycle in miles per hour will be 12.85 mi/h.

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(a)  The corresponding angles are congruent.

So, m ∠ TLC = 66°

(b)  m ∠KGX = m ∠DNK = 120°

"Information available from the question"

In the question:

A graphic artist created a design for a flower using four congruent hexagons as shown:

B P⊥M K, m ∠ M Y F=m ∠ F H B, m° W M C=m ∠ W P T, m ∠G X R=66°, m ∠ D N K=(3 x+18)°, and m ∠ W B R=(5 x-8)°.

The sum of the angles in WKNDSP is 720°.

Now, According to the question:

Part(a) Since the four hexagons are congruent

So, the corresponding angles are congruent.

Thus, m ∠ T L C=  m ∠ 6 x R

Since, m ∠ 6 x R = 66°

So, m ∠ TLC = 66°

Part(b) In WKNDSP

m  ∠KWP + m ∠ WPS + m ∠ PSD + m ∠ SDN + m ∠ DNK + m ∠ NKW = 720°

Since, 1)  B P⊥M K => m ∠KWP = 90°

2) m ∠WPS =m ∠NKW =m ∠WBR = (5x - 8)°

3) m ∠PSD = m ∠DNK = (3x + 18)°

4) m ∠SDN = m ∠GXR = 66°

So, 90 + (5x + 8) + (3x + 18) + 66 + (3x + 18) + (5x - 8) = 720°

90 + 5x + 8 + 3x + 18 + 66 + 3x + 18 + 5x - 8 = 720

176 + 16x = 720

16x = 720 - 176

16x = 544

x = 34

=> m ∠DNK = (3x + 18)° = (3 × 34 + 18)° = 120°

So, m ∠KGX = m ∠DNK = 120°

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Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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Answer:

1/3

Step-by-step explanation:

2 divided by 6 is 1/3 and 1/3 times 6 is 2

Answer:

m∠2=85°

Step-by-step explanation:

m∠1+m∠2=90°

If m∠1 =48°, then

48°+m∠2=90°

m∠2=90°−48°

m∠2=85°

Answer: Your answer is 23.5in²

Hope it helped :D

Good Luck!

Answer:

1) number of boys in school is 48 [ Could be true ]

2) fraction of the boys in the school is = 6/6+7= 6/13 [False]

3) fraction of girls in school is 7/6+7=7/13 [Definitely true]

\(---------------\)

hope it helps...

have a great day!!!

The quantity of the hardener added to 18 containers of resin will be 990 ml.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the formula for glue says to add 55ml of hardener to each container of resin.

The quantity of hardener for 18 containers will be calculated as,

Q = 18 x 55

Q = 990 ml

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Answer:

volume = 798.58 cm³ (nearest hundredth)

surface area = 678.31 cm³ (nearest hundredth)

Step-by-step explanation:

Volume of a cylinder:   \(V=\pi r^2h\)

Surface area of a cylinder:   \(SA=2\pi r^2+2\pi rh\)

Circumference:  \(C=2\pi r\)

(where r is the radius and h is the height)

Given circumference = 56

⇒ \(56 = 2\pi r\)

⇒ \(r=\dfrac{56}{2\pi }=\dfrac{28}{\pi }\)

\(V=\pi \left(\dfrac{28}{\pi}\right)^2 \times3.2=\dfrac{2508.8}{\pi}=798.58 \textsf{ cm}^3 \textsf{ (nearest hundredth)}\)

\(SA=2\pi \left(\dfrac{28}{\pi}\right)^2+56 \times3.2=\dfrac{1568}{\pi}+179.2=678.31 \textsf{ cm}^3 \textsf{ (nearest hundredth)}\)

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer:

\( \frac{91}{400} \)

Step-by-step explanation:

Given:

A square (all sides are equal)

AC = 20 (diagonal)

PI = 7

First, we can find the side length of the whole square:

\(d(diagonal) = a \sqrt{2} \)

\(a \sqrt{2} = 20\)

Divide both sides of the equation by √2 to make a the subject:

\(a = \frac{20}{ \sqrt{2} } = \frac{20 \sqrt{2} }{2} = 10 \sqrt{2} \)

Now, let's do the same thing, but with the smaller square on the top right:

\(pr \sqrt{2} = 7\)

\(pr = ri = \frac{7}{ \sqrt{2} } = \frac{7 \sqrt{2} }{2} = 3.5 \sqrt{2} \)

\(ic = 10 \sqrt{2} - 3.5 \sqrt{2} = 6.5 \sqrt{2} \)

We also have to find the areas of the shaded rectangles and the whole square:

\(a(shaded) = 6. 5\sqrt{2} \times 3.5 \sqrt{2} = 45.5\)

\(a(square) = ({10 \sqrt{2}) }^{2} = 200\)

Let's call the event A:

A - "The dart hits the shaded region"

All outcomes:

n = 200 (since it can randomly hit the whole area)

Favorable outcomes:

m (A) = 45,5 (since it only need to hit the shaded region)

\(p(a) = \frac{m(a)}{n} = \frac{45.5}{200} = \frac{91}{400} \)

Answer:

\(\huge \boxed{2}\)

Step-by-step explanation:

\(8^\frac{1}{3}\)

Apply rule : \(a^\frac{1}{3}=\sqrt[3]{a}\)

\(8^\frac{1}{3}=\sqrt[3]{8}\)

8 is a perfect cube. Evaluate the cube root of 8.

\(\sqrt[3]{8}=2\)

Answer:

Radical expression

\( \sqrt[3]{2} \)

Evaluation

\( {8}^{ \frac{1}{3} } = 2\)

Step-by-step explanation:

8^(⅓) = ³√8

=³√(2×2×2)

=³√(2³)

= 2

BRAINLIEST PLEASE

Answer:

the answer is 85.96

Step-by-step explanation:

Hope this helps, =)

Answer: b = -1/9

Step-by-step explanation:

2(3b-5)=4(6b-2)

6b-10=4(6b-2)

6b-10=4(6b-2)

6b-10=24b-8

6b-10+10=24b-8+10

6b=24b-8+10

6b=24+2

6b-24b=24b+2-24b

-18b=24b+2-24b

-18b=2

-18b/-18 =2/-18

b=-1/9

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.