I have attached an image of the questions that I would like to be answered.#3

Answer:

Step-by-step explanation:

−

g

−

424

v

=

-

g

-

424

Answer: g=-424

Step-by-step explanation:

Given

-g+2(3+g)=-419+1

Expand parenthesis

-g+6+2g=-419+1

Combine like terms

g+6=-418

Subtract 6 on both sides

g+6-6=-418-6

g=-424

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

D because the quadratic formula is basically \(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\)±

so if we place the equation D into the formula

a = 1

b = +3

c = +24

we can clearly say that D eq is correctly used and can be.

Answer:

f(x) = -3/2 x - 2

Step-by-step explanation:

The line rises to the left so the slope is negative, also:

the slope of the line is -3/2 and the y-intercept is at (0, -2)

Answer:  -2

Step-by-step explanation:  

Flip the equation around and subtract 52-50.

The answer will be 2 so put a negative sign in front since the larger number is being subtracted.

(sorry if this explanation sucks i'm not that good at explaining things)

After 6 years, Zandile earns an interest of rupees 608.9 after investing her Christmas bonus for R 875.00 in a bank that offers interest rates of 9% p.a. compounded half-yearly.

The simplest way to calculate interest is as a percentage of the principal. For instance, if you agreed to borrow $100 from a friend with 5% interest, the interest you would pay would only be 5% of $100: $100(0.05) = $5.

Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The principal (original) sum and the interest that has already accrued over the course of previous periods are used to calculate compound interest.

Here,

Principal amount= 875

Rate of interest= 9% pa

Compounding= half-yearly (2/year)

Time= 6 years

A = P(1 + r/n)ⁿᵇ

A=final amount

P=initial principal balance

r=interest rate

n=number of times interest applied per time period

b=number of time periods elapsed

A=875(1+9/6)⁶*²

A=₹1,483.90

Zandile invests her Christmas bonus of R 875.00 in a bank that offers interest rates of 9% per year compounded semi-annually, and after 6 years, she earns an interest of Rs 608.99.

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Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Answer: -8n + 12

Step-by-step explanation: Well we know the word "sum" is a keyword that tells us to use addition so right off the bat, we can eliminate any options that have a subtraction sign.

"The sum of 12 and the product of -8 and n" means

we are multiplying -8 by n since "product" means multiplication.

Then we just have to add 12 to that.

So we get -8n + 12

On solving the provided question we can say that by fraction, Mike can fill 18 X 1/3 = 6 cups with water

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

Each jar holds 1/3 cup.

Mike has 18 cups of water

by fraction, Mike can fill 18 X 1/3 = 6 cups with water

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The correct question is -

Mike will fill jars with water for an experiment. Each jar holds 1/3 cup. Mike has 18 cups of water. How many jars can Mike fill with water?

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

135 miles

Step-by-step explanation:

0.9 m = 6 mins

15 h x 60 min = 900 mins

0.9 / 6 = 0.15 m per min

0.15 x 900 = 135 m

Answer:

There's no question here or picture

Step-by-step explanation:

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

X intercept: 10/5

Y intercept: 0

To find the intercepts of a linear equation, you need to set either the X or Y variable to 0 and then solve for the other variable.

For example, if you have the equation 5x - 2y = 10, you can set X equal to 0 and solve for Y to find the Y intercept, or you can set Y equal to 0 and solve for X to find the X intercept.

X Intercept:

To find the X intercept, set Y equal to 0 and solve for X.

5x - 2(0) = 10

5x = 10

x = 10/5

X intercept = 10/5

Y Intercept:

To find the Y intercept, set X equal to 0 and solve for Y.

5(0) - 2y = 10

-2y = 10

y = -10/2

Y intercept = 0

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Answer:

x = 8

Step-by-step explanation:

y = 4x - 2

30 = 4x - 2

+ 2        + 2

32 = 4x

/ 4     / 4

8 = x

Step-by-step explanation:

the general line equation format is

y = ax + b

a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.

(i)

A (3, 5)

B (5, 9)

x changes by +2 (from 3 to 5).

y changes by +4 (from 5 to 9).

so, the slope (or gradient) is +4/+2 = 2

(ii)

the semi-finished equation is

y = 2x + b

let's use A to get b :

5 = 2×3 + b = 6 + b

b = -1

and the full equation is

y = 2x - 1

(iii)

for point (4, k) we get

k = 2×4 - 1 = 8 - 1 = 7

Given:

By using graphical method we have find the value of x for which the given equation is satisfied.

The solution of the given equation is,

Answer: The correct question is "Segments AB and BC are both tangent to the circle shown above. What is the value of x"

The value of x is also 5 units , by tangent rule.

Step-by-step explanation:

The Two Tangent Theorem:

The two tangent theorem states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then their lengths are the same.

We will now prove that theorem.

Problem

AB and AC are tangent to circle O. Show that AB=AC

Proof of the Two Tangent Theorem

(1) AB is tangent to Circle O     //Given

(2) ∠ABO=90°                          //tangent line is perpendicular to circle

(3) AC is tangent to Circle O     //Given

(4) ∠ACO=90°                          //tangent line  is perpendicular to circle

(5) AO=AO                              //common side (reflexive property)

(6) OC=OB=r                           //radii of a circle are all equal

(7) △ABO≅△ACO                 //Hypotenuse-leg  

(8) AB=AC                 // Corresponding sides in congruent triangles (CPCTC)

Therefore,  segment AB = BC = 5 units

Answer:

Value of x is 5

Step-by-step explanation:

Have a great day

Answer:

(3x+7)(4x-9)

Step-by-step explanation:

12x2+x-63=

12x2 - 27x + 28x - 63=

3x(4x-9) + 7(4x-9)=

(3x+7)(4x-9)

Answer:

Step-by-step explanation:When there are no outliers in a sample, the mean and standard deviation are used to summarize a typical value and the variability in the sample, respectively. When there are outliers in a sample, the median and interquartile range are used to summarize a typical value and the variability in the sample, respectively

Is it more appropriate to use the mean and standard deviation or the median and IQR to summarize theses data? Explain. It is more appropriate to use the median and IQR to summarize these data, because these data are not unimodal and symmetric.

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

  D)  9 square units

Step-by-step explanation:

The squared term will always be non-negative, so the least it can be is zero (for x=3). The squared term is subtracted from 9, so the most the function value can be is 9.

The maximum area of the rectangle is 9 square units.

Answer:

9 square units

Step-by-step explanation:

The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Based on the fact that you will eat only 5 pieces per day out of the bucket of 125 pieces of candy, this is an arithmetic sequence.

An arithmetic sequence is one where the difference between the consecutive numbers in the sequence have a common difference.

In this case, the sequence will reduce by 5 and look like:

125, 120, 115, 110, 105, 100,...

The difference between each of these figures is the same and that difference is 5.

With a common difference of 5, we can say that this sequence is arithmetic.

The rest of the question:

Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day. Is this an arithmetic sequence?

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Answer:

The right solution is:

(a) 0.8849

(b) 12.28%

(c) 4.9935

(d) 28004

Step-by-step explanation:

Given:

Mean,

= 4.5

Standard deviation,

= 0.3

(a)

P(x > 4.14)

As we know,

⇒ \(z = \frac{4.14-4.5}{0.3}\)

      \(=-1.20\)

then,

⇒ \(P(z>-1.20) = P(z<1.20)\)

                          \(=0.8849\)

(b)

P(4.8 < x < 5.04)

= \(P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )\)

= \(P(1<z<1.80)\)

= \(P(z<1.80)-P(z<1)\)

= \(0.9641 -0.8413\)

= \(0.1228\)

or,

= \(12.28\) (%)

(c)

P(x > x) = 0.05

z value will be,

= 1.645

⇒ \(1.645 = \frac{x - 4.5}{0.3}\)

         \(x = 4.9935\)

(d)

P(x < 5.01)

⇒ \(z = \frac{x- \mu}{\sigma}\)

      \(=\frac{5.01-4.5}{0.3}\)

      \(=1.7\)

P(z < 1.70) = 0.9554

⇒ \(n = \frac{27875}{0.9954}\)

       \(=28004\)

Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = \(H_0\\\) * D

where

v = velocity = 8254

\(H_0\\\) = hubble constant = 70

D = v/\(H_0\\\)

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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The equation of line H in fully simplified slope-intercept form is y = 15x + 10.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (40 - 10)/(2 - 0)

Slope (m) = 30/2

Slope (m) = 15.

At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 10 = 15(x - 0)

y = 15x + 10

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.