She has four feet of ribbon, which must be cut into seven equal lengths. How long will each piece of ribbon be after she has finished cutting?

Answers

Answer 1

each piece of ribbon would be 4/7 feet. you have to divide 4 by 7 because you are splitting the ribbon into 7 equal parts.

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Write the equation of the line passing through (−1, 0) and (0, −3).

Answers

The equation of the line passing through (-1, 0) and (0, -3) is y = -3x - 3, where -3 is the slope, and -3 is also the y-intercept.

The equation of a line can be written in slope-intercept form as y = mx + b, where m is the slope of the line, and b is the y-intercept. To find the slope m, we can use the two points given; the slope is the change in y over the change in x, which is (-3 - 0)/(0 - (-1)) = -3/1 = -3. With the slope found, and knowing that the line passes through the point (0, -3), we can say the y-intercept b is -3. The equation of the line through the points (-1, 0) and (0, -3) is y = -3x - 3.

A trapezoid has an area of 15 square feet. If the bases are 4 feet and 6 feet , what is the height of the trapezoid? Hurry Big test tomorrow this the last one

Answers

the formula for a trapezoid is a=a+b/2 x h
so plug that back into the equation and you get
15=10/2 *h
15=5*h
from here, you know that 15/5 equals 3 and therefore the height of the trapezoid is 3.

Good Luck on ur Big Test!

Final answer:

The height of the trapezoid is 3 feet.

Explanation:

To find the height of a trapezoid with given bases and area, you can use the formula for the area of a trapezoid, which is the average of the two bases multiplied by the height. The formula is as follows:

Area = ½ × (base1 + base2) × height

Given that the area of the trapezoid is 15 square feet and the two bases are 4 feet and 6 feet, the formula becomes:

15 = ½ × (4 + 6) × height

This simplifies to:

15 = ½ × 10 × height

Therefore, we can calculate the height by dividing the area by 5 (which is half of 10):

height = 15 ÷ 5 = 3 feet

So, the height of the trapezoid is 3 feet.

The function f is such that f(x)=4x-1 find f^-1(x)

Answers

Let y=4x-1
The inverse is basically expressing x in terms of y.
y=4x-1 =>
y+1=4x
x=(y+1)/4
Since the inverse is still a function of x, we only have to interchange x and y
inverse of f(x) = f^-1(x) = (x+1)/4

Four consecutive even integers add to obtain 324

Answers

The odd integer between the middle two is 324/4 = 81.

Your integers are 78, 80, 82, 84

3 sin2(θ) + 16 sin(θ) − 35 = 0

Answers

[tex]\bf 3sin^2(\theta )+16sin(\theta )-35=0\impliedby \begin{array}{llll} \textit{notice this is just a quadratic }\\\\ax^2+bx+c=0 \end{array} \\\\\\\ [3sin(\theta )-5][sin(\theta )+7]=0\\\\ -------------------------------\\\\ 3sin(\theta )-5=0\implies 3sin(\theta )=5\implies sin(\theta )=\cfrac{5}{3} \\\\\\ \measuredangle \theta =sin^{-1}\left( \frac{5}{3} \right)[/tex]

now, before continuing on the first root, recall that the sine has a range of -1 ⩽ sin(θ) ⩽1, however 5/3 is greater than 1, and therefore is out of range, meaning, there's no such angle, so we've got zilch there.

now, let's check the second root,

[tex]\bf sin(\theta )+7=0\implies sin(\theta )=-7\implies \measuredangle \theta =sin^{-1}(-7)[/tex]

well, hell -7 is smaller than -1, so is also outside the range for sine, and so, the second root gave also zilch, so, in short, there's no such angle.

The rule of thumb in filmmaking is that you must shoot at least 3 minutes of film for every minute in a movies “final cut”. A 30 minute roll of film cost $250. How much will film cost to make a 90 minute movie?
Please explain how to do this problem! I can’t figure it out!

Answers

You add 250 to the price for every 30 minutes, so it would cost $750 for 90 minutes of film.
However, since you have to shoot three minutes for every one minute in the final cut, you would multiply that by 3. So I think it would be 2,250

Julia is an intern at an architecture firm. She is given an assignment to create a bell-shaped structure that is symmetrical. She writes the function f(x)=3 squareroot -|x-2|+6 to model the structure. Find the piecewise function that matches this absolute value function. Then, graph the function using a graphing calculator and describe what you see.

Answers

Answer:

The given function is

f(x)= 3 [tex]\sqrt\left- |x \right-2 |+6[/tex] ⇒[Absolute value function]

F(x)= 1. 3[tex]\sqrt {-(x-2)+6}[/tex] =[tex]3\sqrt {-x+2+6}=3\sqrt{-x+8}[/tex] when (x-2≥0→x≥2) ⇒[ Piecewise function]

2. [tex]3\sqrt{-[-(x-2)]+6}=3\sqrt{x-2+6}=3\sqrt{x+4}[/tex] when [ x-2<0→x<2]⇒[ Piecewise function]

We see there is a shape which is is in the form of dome,point of intersection of two curves being (2,7.348), symmetrical on both side of line x=2.

A box of 20 Crunchy Munchy cookies costs $2.50 and a box of 40 Crunchy Munchy cookies costs $4.00. One quart of milk costs $1.50. Which of the following is a better bargain?

Answers

20 crunchy munchy=2.50 this means 2.50/20=0.125 cents per candy (i assume is candy)
40 crunchy munchy=4.00 4/40=0.100 cents per candy - this is cheaper than previous one
1 quart of milk =1.50 dollars
you cant actuality compare candy to milk

I would definitely say the box of 20 crunchy Munchy cookies that costs $2.50 is the better bargain you as a customer or anyone that is purchasing the product which in this case is the cookies can not beat it and you are getting more cookies for a convenient price. On the contrary, if you buy a quart of milk that costs $1.50 that’s also ok but your just buying one of those quarts of milk, if you were buying 48 quarts of milk or even 69 for that price then that would be the better bargain. In this case the crunchy munchy cookies is the better bargain you can not beat an opportunity like this and it’s more products for a cheaper much affordable price. Hoped that helped!!!

Find direction numbers for the line of intersection of the planes x + y + z = 1 and x + z = 0. (enter your answers as a comma-separated list.)

Answers

<1, 1, 1> × <1, 0, 1> = <1, 0, -1>

The cross product of the normals of the planes gives the direction vector of their line of intersection.

help!!!
All rectangles can also be classified as which of the following? Select all that apply. r

rhombus
square
parallelogram
trapezoid
quadrilateral

Answers

sqaure
rhombus
parallelogram
quadrilateral
hope it helps

Answer:

All rectangles can also be classified as which of the following? Select all that apply. r

rhombus

square

parallelogram

trapezoid

quadrilateral

Step-by-step explanation:

In plane geometry, a rectangle is a parallelogram.

Parallelogram: its opposite sides are parallel, it can also be a square, or a rhombus.

In Euclidean geometry, a quadrilateral is a polygon that has four sides and four vertices.

The answer is: Rhombus, square, parallelogram, and quadrilateral.

how many books can you get in a storage bin that is 4 feet high and 9 feet long and 11 feet wide

Answers

Well, this depends on the size of the books. We can find the volume of the bin by using...
V=bh or l x w x h
So, 9 times 11 is 99.
99 times 4 is 396, which is the volume.
You did not specify the size of the books, so all we can say is that the volume of the bin is 396 cubic feet.

suppose that a pair of 7 sided dice is tossed. What is the expected value of the sum?

Answers

Final answer:

The expected value of the sum when rolling a pair of 7-sided dice is 8.

Explanation:

When rolling a pair of 7-sided dice, each die has numbers 1 through 7 on its faces. To find the expected value of the sum, we need to calculate the average of all possible sums.

The first die can have 7 possible outcomes, and for each outcome, the second die can also have 7 possible outcomes. This gives us a total of 7*7=49 possible outcomes. The sums of these outcomes range from 2 (1+1) to 14 (7+7).

To find the expected value, we multiply each sum by its probability and sum them up. Since each sum has an equal probability of occurring (1/49), we can simplify the calculation:

Expected value = (2*1/49) + (3*1/49) + (4*1/49) + ... + (14*1/49) = 8

Therefore, the expected value of the sum when rolling a pair of 7-sided dice is 8.

What is the simplified form of the expression? x8 2y10 5x5

Answers

we have
x8* 2y10 * 5x5
product of two powers that have the same base is equal to a power of said base that has as exponent the sum of the exponents

x8* 2y10 * 5x5----------> (1)*(2)*(5)*[x^(8+5)]*y^10=10*[x^13]*y^10

the answer is 10*[x^13]*y^10

Janice used a 16-inch dowel and a 21-inch dowel to build a kite what is the perimeter of her kite

Answers

16x2=32
21x2=42
32+42=54

the perimeter is 54

You want to apply a fertilizer to your lawn. The directions on the bottle call for mixing 3 ounces of fertilizer with 2 gallons of water. Your sprayer holds 5 gallons. To completely fill the sprayer with a proper mixture, how many ounces of fertilizer must you use?

A. 61⁄5

B. 52⁄3

C. 71⁄2

D. 31⁄3

Answers

You would add 7.5 ounces of fertilizer to 5 gallons of water. I don't understand your fraction options.

Answer: 5 2/3

Step-by-step explanation:

What is the approximate distance between the points (-5, 1) and (-2, 3) on a coordinate grid? A.7.81 units B.3.61 units C.2.23 units D.3.32 units

Answers

The formula for distance between point in a coordinate grid is the following:

[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
Where 1 and 2 stands for the points, so in your case the formula is the following
[tex] \sqrt{( - 2 - - 5) {}^{2} + (3 - 1) } [/tex]
[tex] \sqrt{ {3}^{2} + 2 {}^{2} } [/tex]
[tex] \sqrt{9 + 4} [/tex]
[tex] \sqrt{13} =3.605...[/tex]
So your answer is about 3.61

Answer:

3.61

Step-by-step explanation:

the segments shown below could form a triangle ac=9. cb=8. ba=17

Answers

The lengths of sides of a triangle have to satisfy the triangle inequality, which states that the sum of the two shorter sides must exceed the length of the third side.

Here 9+8=17 (not greater), so these segments do not form a triangle.

No, the triangle can not form.

What is Triangle inequality?

The sum of any two sides of a triangle is greater than the third side.

Given:

ac=9. cb=8. ba=17

The question is attached below.

We know each triangle satisfy the triangle inequality which state that the sum of the two shorter sides must exceed the length of the third side.

But ,9+8=17 which equal to the third side .

So, these segments do not form a triangle.

Learn more about triangle inequality here:

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if the parent function is 3 square root x, describe the translation of the function y=3 square root x-4 +3

Answers

You want to know what transformation maps [tex]3 \sqrt{x} [/tex] onto [tex]3 \sqrt{x-4} +3[/tex].

Note [tex]f(x)=3\sqrt{x}[/tex] so [tex]f(x-4)=3 \sqrt{x-4} [/tex] so [tex]f(x-4)+3= \sqrt{x-4}+3 [/tex].

We just analyse the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive x direction. f(x)+3 corresponds to a vertical translation 3 units in the positive y direction.

So overall, the parent function moves 4 units right and 3 units up. This is a translation by the vector [tex] \left[\begin{array}{r}4&3\end{array}\right] [/tex].

Answer:

Step-by-step explanation:

Four units to the rights and three units up from ^3 square x.

Would you expect a scatterplot comparing speed of a car in time it takes to drive 10 miles to show a positive association a negative association or no association explain you’re thinking

Answers

If we increase the speed of the car, then the time it takes to drive 10 miles will be less. Therefore, in the scatterplot where the y axis is the speed of a car and the x axis is the time it takes to drive 10 miles, the y value will get lower as x gets higher. This is what we call a negative association.

Dominic picks oranges from 18 trees. He picks 11.4 pounds of oranges from each tree. How many total pounds does Dominic pick?

Answers

205.2 lbs. 11.4*18 = 205.2

11.4 pounds from each tree, there were 18 trees
11.4 * 18 is 205.2

He picked a total of 205.2 pounds of oranges from the 18 trees.

Hope this helps

20 POINTS!!

a triangle has side lengths 20cm, 27cm, 21cm. is the triangle a right angle? show your work

Answers

20^2 + 21^2 = 27^2
400 + 441 = 729
881 = 729 (does not equal)

Not a right traingle

use the Pythagoras Theorem

0.5cm=1.5m. 36m tall. Find the scale factor.

Answers

To answer this I would set this up as a proportion. I would write 0.5 cm/1.5 m. Make this equal to x/36 m. x would be the scale measurement needed for the real height of 36 m. You can solve this proportion by using cross products to get 1.5x = 18 and solve for x. 18/1.5=12 cm. Or you can determine how many groups of 1.5 it would take to get to 36 (36/1.5 = 24). Then multiply 0.5 by 24 to get 12 cm.

Final answer:

To find the model height for an object that is 36 m tall using the given scale of 0.5 cm equals 1.5 m, we establish a proportion, which yields a model height of 12 cm, representing the scale factor as 1 cm : 3 m.

Explanation:

The question asks to find the scale factor given that 0.5 cm on a model equals 1.5 m in real life, and an object's real-life height is 36 meters. First, understand that the scale factor is the ratio of the model's size to the actual size. For this scenario, the given scale is 0.5 cm = 1.5 m. To find the model height for an object that is 36 m tall, we use this scale.

Set up a proportion based on the given scale: 0.5 cm/1.5 m = x cm/36 m. Simplifying the ratio to its smallest form, we get 1 cm = 3 m. Therefore, using cross multiplication, we find the height of the model as x = 0.5 cm * (36 m / 1.5 m).

Calculating gives x = 12 cm. Hence, the scale factor, when considering the model's size to the actual size, is represented as 1 cm : 3 m, and the actual model height is 12 cm for the 36 m tall object.

what is r divided by 8

Answers

That quotient is indicated as
r/8

Jerome went on a hike. He climbed three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles per hour?

Answers

You could do this with fractions. I'll do decimals later.

d = 3/4 mile
t = 2/3 hour
r = ????

r = 3/4 // 2/3 Invert and multiply the denominator
r = 3/4 * 3/2 = 9/8 = 1 1/8

If your calculator handles fractions, you can use it to do this. If not you can change this to a decimal.
d = 3/4 = 0.75 miles
t = 2/3 hour = 0.666666666 hours.
r = ???

d = r*t
r = d/t
r = 0.75 / 0.66666667
r = 1.125 miles / hour
which gives you exactly the same answer 1.125 = 1 1/8

Final answer:

Jerome's hiking speed was calculated by dividing the distance he hiked, three-fourths of a mile, by the time it took him, two-thirds of an hour. This yielded a hiking speed of 1.125 miles per hour.

Explanation:

To calculate Jerome's hiking speed in miles per hour, we need to divide the distance he hiked by the time it took him. Jerome hiked three-fourths of a mile in two-thirds of an hour. To find the speed, we use the formula:

Speed = Distance ÷ Time

Speed = ¾ mile ÷ ⅓ hour

To divide fractions, we multiply by the reciprocal of the denominator:

Speed = ¾ × ⅔ = 3/4 × 3/2 = 9/8

This fraction simplifies to 1⅛ (1.125) miles per hour. So, Jerome's hiking speed was 1.125 miles per hour.

It is important to remember that when we talk about speed, we are referring to the distance traveled over a certain period of time regardless of the direction of travel.

A quality control engineer tests the quality of produced computers. suppose that 5% of computers have defects, and defects occur independently of each other.
a. what is the expected number of defective computers in a shipment of twenty? 1
b. find the probability of exactly 3 defective computers in a shipment of twenty.

Answers

Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=20)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (0.05)4. All trials are random and independent of the othersThe number of successes(defects), x, is then given by[tex]P(x)=C(n,x)p^x(1-p)^{n-x}[/tex]where[tex]C(n,x)=\frac{n!}{x!(n-x)!}[/tex]
For n=20, p=0.05,
the mean number of defects is np=20*0.05=1

[tex]P(x)=C(n,x)p^x(1-p)^{n-x}[/tex]
[tex]P(X=3)=C(20,3)0.05^3(1-0.05)^{20-3}[/tex]
[tex]=1140(1.25*10^{-4}(0.41812)[/tex]
[tex]=0.05958[/tex]

Answer: probability of exactly 3 defects in a sample of 20 is 0.05958

Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62

Select from the drop-down menus to correctly complete each statement.

The relative frequency of heads is

40%.

Mr. Clark's claim about the theoretical probability is likely to be

.

This means that the theoretical probability of tails is most likely
for this coin.

Answers

While I'm not sure what the answer choices were, his claim is likely to be true.
Since he claims the probability of heads is 40%, that should be what we see in an experiment. 0.38 is very close to 0.40, or 40%, so this is true. Therefore his claim is likely to be true, and the probability of tails should be about 60%.

In the number 35.3816, the underlined three is __________ the other three.

Answers

Hey there! :D

The three in the tens place is 100 times bigger than the other three.

.3*100= 30

I hope this helps!
~kaikers

Dr. Silas studies a culture of bacteria under a microscope. The function b(t)=50(1.4)^t represents the number of bacteria t hours after Dr. Silas begins her study.

a) What is the y-intercept of the function? What does this mean in the context of the problem?
b) Is this exponential growth or decay? How do you know?
c) How many bacteria would there be 5 hours after Dr. Silas began her study?

Please show all your work!

Answers

a) Remember that the y-intercept of a exponential function [tex]f(x)=a^{x} [/tex] is [tex]f(0)[/tex], so the only thing to do to find the y-intercept in our functions is evaluate it at t=0:
[tex]b(t)=50(1.4) ^{t} [/tex]
[tex]b(0)=50(1.4)^{0} [/tex]
[tex]b(0)=50(1)[/tex]
[tex]b(0)=50[/tex]
We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.

b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:
[tex] \frac{1.4}{1} . \frac{10}{10} = \frac{14}{10} = \frac{7}{5} [/tex]
Now we can rewrite our exponential function:
[tex]b(t)=50( \frac{7}{5})^{t} [/tex]
Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.

c) The only thing we need to do here is evaluate the function at t=5:
[tex]b(t)=50(1.4)^{t} [/tex]
[tex]b(5)=50(1.4)^{5} [/tex]
[tex]b(5)=50(5.37824)[/tex]
[tex]b(5)=268.912[/tex]

We can conclude that after 5 hours Dr. Silas began her study will be 268.9 bacteria in the sample.

Final answer:

The function relates to a bacteria count that starts at 50, grows exponentially due to the base of the exponent being greater than 1, and is projected to reach approximately 192 bacteria after 5 hours.

Explanation:

a) The y-intercept of the function is the value of the function when t = 0. For the function [tex]b(t)=50(1.4)^t[/tex], if you substitute 0 for t, you get [tex]50(1.4)^0[/tex] which simplifies to 50. Consequently, the y-intercept is 50 which in context, means the study started with 50 bacteria.

b) This function represents exponential growth. We know this because the base of the exponent (1.4) is greater than 1. If the base had been less than 1, it would represent exponential decay.

c) To determine the number of bacteria 5 hours into the study, we need to substitute 5 for t in the formula.

Hence, [tex]b(5)=50(1.4)^5 = approximately 192.2.[/tex] The number of bacteria cannot be in fractions, thus we consider this as approximately 192.

Learn more about Exponential Growth here:

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61/100in word form,decimal

Answers

Decimal form is 0.61 and word form is sixty- one one- hundredths

if h(x)=(f o g) (x) and h(x)=√x+5, find g(x) if f(x)=√x+2

Answers

h(x)=(f o g)(x)=f(g(x)) =>
[tex]\sqrt{x}+5=\sqrt{g(x)}+2[/tex]
[tex]\sqrt{g(x)}=\sqrt{x}+5-2[/tex]
[tex]\sqrt{g(x)}=\sqrt{x}+3[/tex]
[tex]g(x)=(\sqrt{x}+3)^2[/tex]
[tex]=(x+6\sqrt{x}+9)^2[/tex]

we are given

[tex]h(x)=(fog)(x)[/tex]

we can write it as

[tex]h(x)=f(g(x))[/tex]

[tex]f(x)=\sqrt{x+2}[/tex]

now, we can replace x as g(x)

[tex]f(g(x))=\sqrt{g(x)+2}[/tex]

[tex]h(x)=\sqrt{g(x)+2}[/tex]

[tex]h(x)=\sqrt{x+5}[/tex]

now, we can equate them

[tex]\sqrt{x+5}=\sqrt{g(x)+2}[/tex]

now, we can solve for g(x)

Take square both sides

[tex](\sqrt{x+5})^2=(\sqrt{g(x)+2})^2[/tex]

[tex]x+5=g(x)+2[/tex]

now, we can solve for g(x)

Subtract both sides by 2

[tex]x+5-2=g(x)+2-2[/tex]

[tex]x+3=g(x)[/tex]

[tex]g(x)=x+3[/tex].............Answer

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