Solve for t.
t ÷ 5 1/3 = 3/4
​

Answer:

Step-by-step explanation:

Put the values of x from the set {0, 1, 2, 3, 4} to the euation 5x + 6 = 6 and check it:

for x = 0:

5(0) + 6 = 6

0 + 6 = 6

6 = 6      TRUE

for x = 1:

5(1) + 6 = 6

5 + 6 = 6

11 = 6    FALSE

for x = 2:

5(2) + 6 = 6

10 + 6 = 6

16 = 6   FALSE

for x = 3:

5(3) + 6 = 6

15 + 6 = 6

21 = 6          FALSE

for x = 4:

5(4) + 6 = 6

20 + 6 = 6

26 = 6    FALSE

Answer:

8x - 12y

Step-by-step explanation:

4(2x-3y)

Distribute/multiply the 4 to everything in the parentheses

4 * 2x = 8x      4 * -3y = -12y

8x - 12y

Answer:

[tex]4(2x-3y)=8x-12y[/tex]

Step-by-step explanation:

The given expression is

[tex]4(2x-3y)[/tex]

We expand using the distributive property to obtain;

[tex]4(2x-3y)=4\times2x-4\times3y[/tex]

This implies that;

[tex]4(2x-3y)=8x-12y[/tex]

Answer:

Length is 18 meters and width is 14 meters

Step-by-step explanation:

You can solve for the length by using the perimeter formula.

P = 2l + 2w.

You know P = 72. You also know the length is l and the width is w = l - 4.

72 = 2l + 2(l - 4)

72 = 2l + 2l - 8

72 = 4l - 8

72 = 4l

18 = l

This means the width which is 4 meters less is 18 - 4 = 14.

Answer:

The graph of your question is attached in the picture below.

g(x) = 2^(-x)

Step-by-step explanation:

First of all, we use a graphing tool to plot each of the equations.

If we multiply in the plotter each graph, we can easily see which is the correct option.

h(x) =x+1

g(x) = 2^-x

Answer:

h(x)=-2^-x

Step-by-step explanation:

900 = 750 + 2*75. In other words, 900 is 2 standard deviations away from the mean. Similarly, 975 is 3 standard deviations from the mean. So

[tex]P(900<X<975)=P(2<Z<3)[/tex

where [tex]X[/tex] is the random variable for the lifespan of a light bulb with the given normal distribution, and [tex]Z=\dfrac{X-750}{75}[/tex] with the standard normal distribution.

We get

[tex]P(2<Z<3)\approx0.0214=2.14\%[/tex]

If you don't have a calculator/lookup table available, you can invoke the empirical rule, the one that says

[tex]\begin{cases}P(-1<Z<1)\approx68\%\\P(-2<Z<2)\approx95\%\\P(-3<Z<3)\approx99.7\%\end{cases}[/tex]

The normal distribution is symmetric about its mean, so we also know

[tex]\begin{cases}P(0<Z<1)\approx34\%\\P(0<Z<2)\approx47.5\%\\P(0<Z<3)\approx49.85\%\end{cases}[/tex]

Then

[tex]P(2<Z<3)=P(0<Z<3)-P(0<Z<2)\approx2.35\%[/tex]

Answer:

0.021

Step-by-step explanation:

One way in which to approach this problem solution is to use a calculator that has statistical distribution functions built in.  My old TI-83Plus has the function "normalcdf," which does the job nicely.

Typing in normalcdf(900,975,750,75) results in the probability 0.021 that a light bulb chosen at random will last between 900 and 975 hours.

Using a table of z-scores would be a good alternative approach.  Note that the z-score corresponding to 750 hours is 0; that for 900 is +2; and that for 975 is +3.  Find the area under the standard normal curve to the left of 975 (z = 3) and that to the left of 900 (z = 2), and then subtract the two results.  It will be 0.021, as before.

Answer:

192

Step-by-step explanation:

1/2 of 24 times 16=192

2-3y is the answer u used distributive property to expand it

Answer:

Step-by-step explanation:

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

[tex]s^2=\frac{SS}{n-1}[/tex]

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

[tex]s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57[/tex]

Answer:

find A PATTERN

Step-by-step explanation:

FIND A PATTERN IN THE NUMBERS

Answer:

The answer is 53

Step-by-step explanation:

Answer:

Final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]

Step-by-step explanation:

Given functions are [tex]f\left(x\right)=0.5x^2-2[/tex] and [tex]g(x)=8x^3+2[/tex]

Now we need to add both functions:

[tex]f(x)+g(x)[/tex]

[tex]=(0.5x^2-2)+(8x^3+2)[/tex]

[tex]=0.5x^2-2+8x^3+2[/tex]

[tex]=0.5x^2+8x^3-2+2[/tex]

combine like terms -2 and +2

[tex]=0.5x^2+8x^3[/tex]

Hence final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]

Answer:

[tex] f ( x ) + g ( x ) = 8 x^3 + 0.5 x ^2 [/tex]

Step-by-step explanation:

We are given the following two functions and we are to find their sum:

[tex] f ( x ) = 0.5 x ^ 2 - 2 [/tex]

[tex] g ( x ) = 8 x ^ 3 + 2 [/tex]

Adding the two given functions to get:

[tex] f ( x ) + g ( x ) = 0.5 x ^ 2 - 2 + 8 x ^ 3 + 2 [/tex]

Rearranging them to solve further:

[tex]f(x)+g(x) =8x^3+0.5x^2+2-2[/tex]

So finally we get:

[tex]f(x)+g(x) =8x^3+0.5x^2[/tex]

Answer:

C

Step-by-step explanation:

In the table -1 and 1 are equal to 5, which is also shown in C.

Since k is a transformed function, a graph that shows the parent function of k is: C. graph C.

Generally speaking, a function can be stretched by multiplying it with the absolute value of a numerical value that is either greater than 1 or less than -1.

Additionally, you should multiply the x-variable with the shrink or stretch factor when compressing (shrinking) or stretching a function horizontally.

Since the numbers 1 and -1 both yield the same output value, it ultimately implies that the graph of the parent function must be a parabola and a quadratic function;

As x decreases from -1, k(x) would increase.

As x increases from 1, k(x) would increase.

Missing information:

Function k has a parent function. The table shows some ordered pairs that belong to k.

Which graph shows the parent function of k?

Answer:

2 hours and 5 minutes.

Step-by-step explanation:

1 hour and 15 minutes. A quarter of an hour is 15 minutes. A full paper would be 5/5. So you would take 15x5 which would give you 75 minutes or an hour and 15 minutes

3/1×6/8=3/1×3/4=9/4=2 1/4

Answer:

The base is 16

Step-by-step explanation:

Answer:

8 yd²

Step-by-step explanation:

Find the Greatest Common Factor (GCF)

GCF = 4

Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)

4(16w^4/4 + 16w^2/4 - 140/4)

Simplify each term in parenthesis

4(4w^4 + 4w^2 - 35)

Split the second term in 4w^4 + 4w^2 - 35 into two terms

4(4w^4 + 14w^2 - 10w^2 - 35)

Factor out common terms in the first two terms, then in the last two terms.

4(2w^2(2w^2 + 7) - 5(2w^2 + 7))

Factor out the common term 2w^2 + 7

= 4(2w^2 + 7)(2w^2 - 5)

Answer:

1/6

Step-by-step explanation:

The sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.

Answer: The correct answer is 15 according to  my work that I have done.

Step-by-step explanation:

* Here is all the all information you'll need just in case.

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

The correct answer is option 3

arc length = 7.5π

Step-by-step explanation:

It is given a circle with central angle ADC = 45° and radius = 30 cm

To find the length of arc ABC

From the figure we can see that the central angle of arc ABC = 45°

Therefore the arc length = (45/360) * Circumference

To find the circumference

Circumference = 2πr  = 2 * π * 30 = 60π

To find the arc length

Arc ABC  = (45/360) * 60π= 7.5π

Therefore arc length = 7.5π

The correct answer is option 3

Answer:

Step-by-step explanation:

It's not math, but the answer is BITTER. (i used google translate)

The mathematical representation of '5 is 5% of what number?' is 5 = 0.05w. To solve for w, we divide 5 by 0.05, which gives us a value of w=100.

To solve the question, '5 is 5% of what number w?', we can set up the equation as 5 = 0.05w. This equation represents the statement '5 is 5% of some number w' in mathematical terms. To find the value of w, we divide both sides of the equation by 0.05. The calculation goes like this:

https://brainly.com/question/16797504

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The equation to find the number for which 5 is 5% is: 5 = 0.05w. The solution to the equation is w = 100.

To write and solve the equation that represents the given statement, we can let 'w' represent the unknown number.

The equation is:

5 = 0.05w

Solving for w, we divide both sides by 0.05:

w = 5 / 0.05

w = 100

Therefore, the solution to the equation is w = 100. This means that 5 is 5% of 100.

Answer:

An isosceles right triangle has 2 congruent sides.

ANSWER

[tex]4,8,14[/tex]

EXPLANATION

Let the first number be

[tex]x[/tex]

Then the second number will be

[tex]2x[/tex]

and the third number is

[tex]2x + 6[/tex]

The sum of these numbers is 26.

This implies that;

[tex]x + 2x + (2x + 6) = 26[/tex]

Group similar terms;

[tex]x + 2x + 2x = 26 - 6[/tex]

Simplify;

[tex]5x = 20[/tex]

Divide both sides by 5

[tex]x = \frac{20}{5} [/tex]

This gives us;

[tex]x = 4[/tex]

The numbers are:

[tex]4,8,14[/tex]

Answer: the answer is B beacuase The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers is always irrational is true. Option A is correct.

Given that,
To determine the statements that is true from the given statements.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
A) the sum of two irrational numbers is always irrational.
True,

b) the product if two irrational numbers is sometimes rational.
False

c) the product of a rational number and an irrational number is sometimes rational.
False

d) the sum of two rational numbers is sometimes irrational​.
False

Thus, the only option that is true is the sum of two irrational numbers is always irrational. Option A is correct.

Learn more about rational numbers here:

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4 a’s and only 1 b :)

4 is a and only 1 b , your welcome

Answer:

[tex]\large\boxed{(x+3)^2+(y-2)^2=225}[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have r = 15 and the center (-3, 2). Substitute:

[tex](x-(-3))^2+(y-2)^2=15^2\\\\(x+3)^2+(y-2)^2=225[/tex]

This is a special right triangle with 3 sides that are 5, 12, 13. You should remember this triangle.

[tex] {13}^{2} = {x}^{2} + {12}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ x = \sqrt{ {13}^{2} - {12}^{2} } = \sqrt{169 - 144} = \sqrt{25} = 5[/tex]

Answer:

its 1.

Step-by-step explanation:

Two perpendicular lines make right angles which equal 90 degrees.

X = 90 - 42 = 48 degrees.

Answer:

Independent

Step-by-step explanation:

with replacement the total number of tiles will always remain the same,i.e the sample size will not be changed. so the events are independent.

Drawing a red tile from a bag and a green tile after replacing the first tile are independent events because the composition of the bag remains unchanged, meaning the probability of drawing the green tile remains constant.

When drawing a red tile from a bag and then drawing a green tile after replacing the first tile, the two events are considered independent. The outcome of drawing the green tile does not depend on the outcome of drawing the red tile. This is because when the first tile is replaced, the composition of the tiles in the bag remains unchanged, resulting in the probability of drawing a green tile being the same regardless of the previous draw. This is known as sampling with replacement.

If, however, the first tile was not replaced, the events would then be dependent, because the removal of the red tile would alter the composition of the bag, affecting the probability of drawing a green tile on the second draw. This is referred to as sampling without replacement. An example of dependent events is a scenario where if a bag contains four blue and three white marbles, and a marble is drawn and not replaced, the probability of drawing a marble of a particular color would change for the second draw.

Answer:

V=120 in^3

Step-by-step explanation:

Height x Width x Length