true or false ? why and why not ?


8a - (8a - 8) is equivalent to 8

Answer:

3.31445...

Step-by-step explanation:

(20^2) = 400

400 ^ (1/5) = 3.314454017

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

Anna can only fill the measuring cup a whole number of times, she will need to fill it 6 times to measure 78 cups of turnips.

What is division in mathematics?

Division is the process of splitting a number or an amount into equal parts.

To find the number of times Anna will need to fill the measuring cup, divide the number of cups of turnips by the size of the measuring cup:

78 cups/14 cups:

                            = 78/14

                              =5.57 measures

Hence, Anna can only fill the measuring cup a whole number of times, she will need to fill it 6 times to measure 78 cups of turnips.

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The value of a in the given parabola is a = 4/5.

A quadratic function's graph is a parabola. A parabola, according to Pascal, is a circle's projection. Galileo described the parabolic route that projectiles take when they fall under the influence of uniform gravity. Several bodily movements have a curvilinear course that has the form of a parabola. In mathematics, a parabola is any planar curve that is mirror-symmetrical and typically resembles a U shape.

We know that the parabola passes through (-3, 0) and (5, 0), so we can write:

0 = a(-3)² + b(-3) + c (equation 1)

0 = a(5)² + b(5) + c (equation 2)

We also know that the parabola passes through (1, -32), so we can write:

-32 = a(1)² + b(1) + c (equation 3)

Equating the equation 1 and 2 we have:

9a - 3b + c = 25a + 5b + c

16a + 2b = 0 (equation 4)

Now, equation i can be written as:

c = - 9a + 3b

Substituting in equation 3 we have:

-32 = a + b - 9a + 3b

-32 = -8a + 4b

-8 = -2a + b (equation 5)

b = -8 + 2a

Substitute the value of b in equation 4:

16a + 2(-8 + 2a) = 0

16a - 16 + 4a = =

20a = 16

a = 16/20 = 4/5

Hence, the value of a in the given parabola is a = 4/5.

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Okay so is your question like how many plain and graphic he needs to sell to get more than $1200??  

For example if he sells 100 plain shirts(which will come up to $500) and 100 graphic shirts($700) the Total amount earned would be $1200, so we would need to sell at least 100 shirts of each or more to get to $1200.

Also if he sells 240 plain shirts he will get $1200

Or if he sells 172 graphic shirts he will get $1204.

Answer:

I think that the probability is 5/4

Answer:

Los lados de la lista cuadrada que le fabricaron  miden 15 m

Step-by-step explanation:

Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:

Ac = a²

Donde a es la medida de los lados del cuadrado.

Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:

a = √(Ac)

a = √(225 m²)

a = 15 m

Los lados de la lista cuadrada que le fabricaron  miden 15 m

Respuesta:  Los lados de la lista cuadrada que le fabricaron  miden 15 m

Explicación paso a paso:

Hola! Sabemos que la loseta tiene área cuadrada y que el área del cuadrado está dada por:

Ac = a²

Donde a es la medida de los lados del cuadrado.

Para hallar la medida de la lista cuadrada despejamos a aplicando raíz cuadrada a ambos miembros:

a = √(Ac)

a = √(225 m²)

a = 15 m

Los lados de la lista cuadrada que le fabricaron  miden 15 m

The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

Triangle a and b

From the question, we have the following parameters that can be used in our computation:

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

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To solve for the diameter and radius of a cone with a volume of 8 and a height of 6, we need to use the formulas for the volume and surface area of a cone.

The volume of a cone is given by the formula:

V = 1/3 * π * r^2 * h

where V is the volume, r is the radius, h is the height, and π is the mathematical constant pi (approximately 3.14).

We know that the volume is 8 and the height is 6, so we can plug these values into the formula and solve for the radius:

8 = 1/3 * π * r^2 * 6

r^2 = 8/(π*6/3)

r^2 = 4/π

r = √(4/π)

r ≈ 0.798

The radius is approximately 0.798.

To find the diameter, we simply multiply the radius by 2:

d = 2 * r

d ≈ 1.596

Therefore, the diameter is approximately 1.596 and the radius is approximately 0.798.

Answer: 1) Error response times

2) Memory Scanning, visual search

3) Stimulus identification

Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response

2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring

3) A decisive role in our perception and cognition

In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.

did you mean name every flavor of pie

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

The length of tape to wrap = 5 cm

Step-by-step explanation:

Let the length of tape used to wrap 1 present be = x

Tape length            Number of presents

   15 cm                            3

      x                                 1

     \(\frac{15}{x} = \frac{3}{1} \\\\x \times 3 = 1 \times 15\\\\x = \frac{15}{3} = 5 \ cm\)

Answer:

The answer is 195mile

Step by step explanation:

We've

to solve this we need to draw a triangle

then we need to find the distance traveled by each after 3 hours

S(1) = t × V(1) = 3 × 52 = 156 mile

S(2) = t × V(2)= 3× 39 = 117 mile

the distance between them is our z

S(1) = x

S(2) = y

using the Pythagorean Theorem

z = √x^2 + y^2 = √(156)^2 + (117)^2 = √ 13689+24336 = √38025 = 195 mile

==========================================

Reason:

log(80) - log(4)

log(80/4)

log(20)

The rule used is log(A) - log(B) = log(A/B)

Using a calculator,

which helps confirm the answer. The logs I used were base 10, but it could be any base really.

Answer:

x=8

Step-by-step explanation:

(3x-8)/1=4x/2. 3x-8=2x, x=8

Answer:

Explanation:

Given the expression:

To determine an equivalent expression, we start by simplifying the terms in the braket.

The value of x is 7

A triangle's midsegment is the section that links the midpoints of its two sides.

The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.

Given:

According to Midsegment theorem

The line joining the midpoint is equal to half the length of the third side.

Thus, 29 = 1/2 (6x+ 4)

29 = 3x + 2

3x = 39-2

3x= 27

x= 27/3

x= 9

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Usually the one with the more vertical line would be steeper.

Answer:

belve t would be drives

Step-by-step explanation:

Hope ths helps.

Answer:Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

 ht -  (24t2 +  192t)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  ht - 16t2 - 192t  =   t • (h - 16t - 192)

Equation at the end of step

3

:

 t • (h - 16t - 192)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2      Solve  :    t = 0

 Solution is  t = 0

Equation of a Straight Line

4.3     Solve   h-16t-192  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  h-16t-192  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

 t-intercept = 192/-16 = 12/-1  = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

 h-intercept = 192/1  = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.125/2.000 =  0.062

Geometric figure: Straight Line

 Slope = 0.125/2.000 = 0.062

 h-intercept = 192/1 = 192.00000

 t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

Answer:

x= -3,      x = 1

Step-by-step explanation:

Zeros are values of x, when f(x) = 0.

0=(x+3)(x-1)

x+3 = 0,  x - 1=0

x= -3,      x = 1

Answer:

x = -3, x = 1

Step-by-step explanation:

To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.

In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.

As such, these are your solutions.

The length of the third side of an isosceles triangle with sides 4 cm and 10 cm is 10 cm.

We know that in an isosceles triangle, two sides are equal.

One side of the triangle is 4 cm and the other is 10 cm.

Let us consider the third side to be 4 cm,

then 4 cm + 4cm = 8 cm and it is not greater than the third side 10 cm.

Hence, the third side cannot be 4 cm.

Then the third side can be 10 cm,

therefore, 4 cm + 10 cm = 14 cm > 10cm

and 10 cm + 10 cm = 20 cm > 10 cm.

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Answer:

Step-by-step explanation:

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

3r and 33

Step-by-step explanation:

Answer:

Option C - 4.71

Step-by-step explanation:

We are given the Test statistic for proportion as;

z = (^p − p)/√pq/n

From the question;

^p = 0.15

p = 0.1

q = 1 - 0.1 = 0.9

n = 800

z = (0.15 - 0.1)/√(0.1 × 0.9/800)

z = 0.05/√(0.09/800)

z = 4.71

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

Length of the diagonal of rectangular prism is equals to 13units.

" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."

Formula used

Total surface area of the rectangular prism = 2(l b + b h +l h)

Sum of all the  edges of the prism = 4 (l +b + h)

length of the diagonal  of the prism = √l² + b² + h²

l = length of the prism

b = width of the prism

h = height of the prism

According to the question,

Given,

Total surface area of the rectangular prism = 56 units

⇒2(l b + b h +l h) = 56

Sum of all the edges of the prism = 60 units

⇒4(l + b + h) = 60

Divide both the side by 4 we get,

 (l + b + h) = 60 / 4

⇒(l + b + h) = 15                               ____(1)

Squaring both the side of (1)  we get,

  (l + b + h)² = (15)²

⇒l² + b² + h² + 2 (l b + b h +l h) = 225

Substitute the value of total surface area  to get length of the diagonal,

 l² + b² + h² + 56 = 225

⇒l² + b² + h²  = 225 - 56

⇒l² + b² + h²  = 169

⇒√l² + b² + h²  = √169

⇒√l² + b² + h²  =  13

Hence, length of the diagonal of rectangular prism is equals to 13units.

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