hello
between 5/3 and 9/16, 5/3 is greater than 9/16
[tex]\frac{5}{3}>\frac{9}{16}[/tex]a farmer wants to build a fence in the shape of a parallelogram for his animals. The perimeter of the fence will be 600 feet, and the North/South fences are half of the length of the West/East fences. If fences are sold in 5 foot segments, how many fence segments does the farmer need to buy ?
Let's use the variable L to represent the length and W to represent the width.
If the perimeter is 600 ft, we have:
[tex]\begin{gathered} P=2L+2W\\ \\ 2L+2W=600\\ \\ L+W=300 \end{gathered}[/tex]The width is half the length, so we have:
[tex]\begin{gathered} W=\frac{L}{2}\rightarrow L=2W\\ \\ 2W+W=300\\ \\ 3W=300\\ \\ W=\frac{300}{3}\\ \\ W=100\text{ ft}\\ \\ L=200\text{ ft} \end{gathered}[/tex]Now, if each fence segment is 5 ft, we number of segments needed is:
[tex]\begin{gathered} \text{ fences for W1: }\frac{100}{5}=20\\ \\ \text{ fences for W2: }\frac{100}{5}=20\\ \\ \text{ fences for L1:}\frac{200}{5}=40\\ \\ \text{ fences for L2:}\frac{200}{5}=40\\ \\ \\ \\ \text{ total:}20+20+40+40=120\text{ fence segments} \end{gathered}[/tex]Supposed to go out to a dinner and you spend $42 you want to leave a 20% tip how much money should you leave for a tip round your answer to the nearest cent
Answer:
$8.4
Explanation:
To find how much money you should leave for a tip, we need to find how much is 20% of $42. So, to calculate this, we need to multiply 42 by 20 and then divide by 100, so:
$42 x 20% = 42 x 20 / 100 = 840 / 100 = 8.4
Therefore, the answer is $8.4
Which of the following correctly shows the next two terms after -40 in the pattern?-10, 20, -40,...А.80, 160B-2.5,5С60, -80D80, -160
In the pattern -10,20,-40 every next term is obtained by multiplication of -2.
So terms next to -40 is,
[tex]-40\cdot(-2)=80[/tex]Term next to 80 is,
[tex]80\cdot(-2)=-160[/tex]Thus next two terms od -40 are 80 and -160.
Option D is correct option.
Use the Distributive Property
solve the equation.
- 6(x + 3) = 30
Answer: X = -2
Step-by-step explanation:
-6 time x is -6x and -6 times 3 is -18
Now you have -6x + -18 = 30
Add the now add 18 to both the -18 and 30 now your left with -6x = 12
And at last divide both -6 and 12 to -6
And you have X = -2
Answer: -8
Step-by-step explanation:
-6(x + 3) =30
-Distribute -6 and x = -6x
-Distribute -6 and 3 = -18
-6x -18 = 30
+18 +18. Take away 18 on both sides of the equation
_________
-6 / -6x = 48/-6 Divide -6 on both sides to get x by itself
X = -8
Final Answer : -8
Solve 7sin(pi/6 * x) = 2 for the four smallest positive solutions
Answer:
x =0.55, 5.45, 12.55, 17.45
Explanation:
First, we divide both sides by 7. This gives
[tex]\sin(\frac{\pi}{6}x)=\frac{2}{7}[/tex]then taking the inverse sine of both sides gives
[tex]\frac{\pi}{6}x=2\pi n\pm\sin^{-1}[\frac{2}{7}][/tex]since
[tex]\sin^{-1}[\frac{2}{7}]=16.60[/tex]Therefore,
[tex]\frac{\pi}{6}x=2\pi n\pm16.60[/tex]Multpilying both sides by 6/π
[tex][/tex]A 8 kg eagle is flying up in the sky. You pull out your GPE gun and are able to tell that the bird has a GPE of 2,352 J. How high must the birdbe? (remember the bird is on Earth)
Energy = work per unit time
Energy = workdone / time
energy = mgh
m = 8kg
E = 2352J
since the bird is on the earth, definitely the gravitational force will be acting on it
g = 10m/s^2
2352 = 8 x 10 x h
2352 = 80 x h
2352 = 80h
divide both sides by 80
2352/80 = 80h/80
29.4 metres = h
h = 29.4 metres
The answer is 29.4 metres
Consider the graph of f(x) = 5 ^ x + 1 1. Explain how to find the average rate of change between x = 0 and x = 4 . What is the average rate of change ?
1. To determine the average rate of change of a function "f(x)" between the points "x = a" and "x = b" we use the following formula:
[tex]A=\frac{f(b)-f(a)}{b-a}[/tex]2. In this case, we have the following function:
[tex]f(x)=5^x+1[/tex]And we have the points:
[tex]\begin{gathered} x=0 \\ x=4 \end{gathered}[/tex]Now we determine the value of f(b) by replacing x = 4 in the function:
[tex]\begin{gathered} f(4)=5^4+1 \\ f(4)=626 \end{gathered}[/tex]Now we determine f(0):
[tex]\begin{gathered} f(0)=5^0+1 \\ f(0)=1+1=2 \end{gathered}[/tex]Replacing in the formula for the average rate of change we get:
[tex]A=\frac{626-2}{4-0}[/tex]Solving the operations:
[tex]A=\frac{624}{4}=156[/tex]Therefore, the average rate of change is 156.
What’s the scale factor?What’s the value of x? Show your work
Given the original triangle and the scale triangle, you can determine that they are similar.
• Therefore, you can find the scale factor by dividing the lengths of the corresponding sides given in the exercise:
[tex]\begin{gathered} sf=\frac{42\operatorname{cm}}{7cm} \\ \\ sf=6 \end{gathered}[/tex]• In order to find the value of "x", you need to multiply the corresponding side (whose length is 3 centimeters) by the scale factor:
[tex]\begin{gathered} x=(3\operatorname{cm})(6) \\ \\ x=18\operatorname{cm} \end{gathered}[/tex]Hence, the answers are:
- Scale factor:
[tex]sf=6[/tex]- Value of "x":
[tex]x=18\operatorname{cm}[/tex]picture with question
In order to determine if the given triangles are similar, it is necessary to find the values of the missing angles.
Take into account that the sum of the interior angles of a triangle is equal to 180°, the for the missing angles you have:
180° - 90° - 46° = 44°
180° - 38° - 46° = 96°
AS YOU CAN NOTICE THE THREE ANGLES ARE NOT EQUAL.
Then, the triangles are NOT similar because it is necessary that the three angles are equal.
tenemos $5000 en una cuenta. A final de cada mes se ingresa un 5% del dinero que hay en la cuenta en dicho momento. Calcular el dinero que habrá en la cuenta después de un trimestre¿ en que porcentaje ha subido la cantidad inicial?
Al final del primer mes tenemos:
5000 + 5000*0.05 = 5250
Al final del segundo mes:
5250 + 5250*0.05 = 5512.5
Y al final del tercer mes nos queda:
5512.5 + 5512.5*0.05 = 5788.125
El dinero que habra en la cuent despues de un trimestre es $5788.125
Para calcular en que porcentaje ha subido la cantidad inicial, dividimos la cantidad extra obtenida despues de un trimestre entre la cantidad inicial:
[tex]\begin{gathered} \frac{788.125}{5000}=0.157625 \\ \text{Expresado en porcentaje:} \\ 0.157625\cdot100=15.7625 \end{gathered}[/tex]Ha subido en un 15.7625%
The figure below is a right rectangular pyramid. Which of the following is not a cross-section from a right rectangular pyramid?
Answer:
(B)
Explanation:
The base of a right rectangular pyramid is a rectangle, so if we cut the pyramid with a plane that is parallel to the base, we will get a cross-section with a rectangular form or (A)
We can also cut the pyramid with a plane that is perpendicular to the base, In this case, we will get a cross-section with a triangular form (C)
Finally, we can cut the pyramid with a transversal plane and get a cross-section with the form of a trapezoid (D)
Therefore, the answer is (B) because a square is not a cross-section for the right rectangular pyramid.
two numbers have a sum of -10 and a difference of -2 what is the product of numbers
let 'x' and 'y' be two numbers that have a sum of -10 and a difference of -2, then, we have the following system of equations:
[tex]\begin{gathered} x+y=-10 \\ x-y=-2 \end{gathered}[/tex]notice that if we add both equations at the same time, we get:
[tex]\begin{gathered} x+y=-10 \\ x-y=-2 \\ --------- \\ 2x=-12 \\ \Rightarrow x=\frac{-12}{2}=-6 \\ x=-6 \end{gathered}[/tex]now that we have that x = -6, we can find the value of y substituting x = -6 on any equation:
[tex]\begin{gathered} -6+y=-10 \\ \Rightarrow y=-10+6=-4 \\ y=-4 \end{gathered}[/tex]therefore, x = -6 and y = -4. Next, we have that the product is (-6)(-4) = 24
A pizza restaurant has found that the probability that a customer will order thin crust is 0.4. In a random sample of 5 customers who order a pizza, find the probability that at least three of them want thin crust.
In this type of exercises, the probability of x successes on n reapeted trials in an experiment is given by the next formula:
[tex]P=\text{nCx}\cdot p^x\cdot(1-p)^{n-x}[/tex]Here the nCx indicates the number of different combinations of x objects selected from a set of n objects. With the given data we can solve it easily:
p = 0.4
n = 5
x = 3
[tex]\begin{gathered} P=5\text{C3}\cdot0.4^3\cdot(1-0.4)^{5-3} \\ P=10\cdot0.064\cdot0.36 \\ P=0.2304 \end{gathered}[/tex]This pentagonal prism is cut by the plane shown. The plane is parallel to the base of the pentagonal prism. What is the shape of the cross-section?
If the plane is parallel to the base, then the cross section has the same shape of the base: a penthagon.
Which equation represents a line which is parallel to the line y = 1/3x +6x+3y=243y-x=-183y−x=−183x-y=73x−y=73x+y=-83x+y=−8
Recall that two lines are parallel if they have the same slope.
Now, the given equation is in the form
[tex]y=mx+b,[/tex]where m is the slope. Therefore, the slope of the given line is
[tex]\frac{1}{3},[/tex]and it has to be the slope of the parallel line.
Taking the options to their slope-intercept form, we can determine which equation represents a parallel line to the given line.
Answer: An equation of the form:
[tex]y=\frac{1}{3}x+b\text{.}[/tex]Where b is a constant.
Consider the line y=x+3.Find the equation of the line that is parallel to this line and passes through thepoint (-6, -3).Find the equation of the line that is perpendicular to this line and passes throughthe point (-6, -3).
Given:
Consider the line y=x+3.
Required:
We want to Find the equation of the line that is parallel to this line and passes through the point (-6, -3).
Find the equation of the line that is perpendicular to this line and passes through the point (-6, -3)
Explanation:
To find parallel to this line and passes through the point (-6, -3)
The slope is same for parallel line is 1
[tex]\begin{gathered} y-(-3)=1(x-(-6)) \\ y+3=x+6 \\ y=x+3 \end{gathered}[/tex]Which is same so there is no parallel line of given line which is passes through point (-6, -3)
Now to find the perpendicular to the given line
for this the slope of this line is -1
[tex]\begin{gathered} y+3=-x-6 \\ y=-x-9 \end{gathered}[/tex]Final answer:
y=x+3
y=-x-9
One type of dog treat, Barker, contains 3 oz and sells for $1.95. DogYum contains 3.25 and sells for $2.10.Which is less expensive, per ounce?A. DogYum is less expensive, per ounceB. Barker is less expensive, per ounce
Solution
- We are told that dog treats, Barker and DogYum cost $1.95 for 3 oz and $2.10 for 3.25 oz respectively and we are required to find out which is more expensive per ounce.
- In order to find the more expensive dog treat, we need to find the cost per ounce for each item. The cost per ounce is given by the formula below:
[tex]\frac{\text{Cost of dog treat (In Dollars)}}{\text{Weight of dog treat (In Oz)}}[/tex]- The dog treat with the larger cost per oz is the more expensive item.
- Thus, let us calculate the cost per oz for both items.
DogYum:
[tex]\begin{gathered} \frac{\text{Cost of DogYum}}{\text{Weight of DogYum}}=\frac{2.10}{3.25}=0.646 \\ \\ \text{Thus, the cost per oz of the DogYum treat is \$0.646/oz} \end{gathered}[/tex]Barker:
[tex]\begin{gathered} \frac{\text{ Cost of Barker}}{\text{Weight of Barker}}=\frac{1.95}{3}=0.65 \\ \\ \text{Thus, the cost per oz of the Barker treat is \$0.65/oz} \end{gathered}[/tex]- We can observe that Barker is marginally more expensive than DogYum. We can confirm this by simply subtracting the cost per oz for both treats.
[tex]\text{Barker - DogYum}=0.65-0.646=0.004[/tex]Final Answer
The answer is:
DogYum is less expensive, per ounce
17 ohms to kilohms (Round answer to the nearest thousandth.)
In converting measurements, you must take note of the prefixes.
Note that a kilo is 1000 times the base measurement.
Example :
1 kilometer = 1000 meter
1 kilogram = 1000 gram
From the given problem :
1 kiloohm = 1000 ohm
17 ohms will be :
[tex]17\cancel{\text{ohms}}\times\frac{1\text{kiloohm}}{1000\cancel{\text{ohm}}}=\frac{17}{1000}=0.017\text{kiloohm}[/tex]The answer is 0.017 kiloohm
The distances between Centerville, Springfield, and Capital City form a right triangle. The distance between Centerville and Springfield is 913 kilometers and the distance between Springfield and Capital City is 976 kilometers. View the map.
Answer:
The distance between Centerville and Capital City is 1336 kilometers.
Step by step explanation:
To solve the situation, we can use the Pythagorean theorem, which is represented by the following expression and diagram:
Now, if a=913 kilometers and b=976 kilometers. Solve for c:
[tex]\begin{gathered} 913^2+976^2=c^2 \\ c=\sqrt[]{913^2+976^2} \\ c=\sqrt[]{833569+952576} \\ c=\sqrt[]{1786145} \\ c=1336\text{ kilometers} \end{gathered}[/tex]The braking distance of a car is proportional to the square of its speed.17. According to Graham's law, the rate of diffusion of two gases is inverselydproportional to density and is given bywhere ', and r2 are12rates of diffusion of two gases and d, and d2 are their respectivedensities. Which equation represents d, in terms of the other variables?
Ok in this problem you have to take Graham's law which is given to you and manage to write the density d1 as a function of the others. We have:
[tex]\frac{r_1}{r_2}=\sqrt[]{\frac{d_2}{d_1}}[/tex]Since we want to have d1 alone in one side of the equation the first thing we have to do is pass the square root to the other side. Square roots pass as square powers:
[tex](\frac{r_1}{r_2})^2=\frac{d_2}{d_1}[/tex]Then we have to pass d1 multiplying on the other side:
[tex]d_1\frac{r^2_1}{r^2_2}^{}=d_2[/tex]Now we only need to pass both r1 and r2:
[tex]d_1=d_2\frac{r^2_2}{r^2_1}[/tex]This is the same expresion that the one in item B so that is the correct answer
Caculate question a and b
Answer:
a. 9.4cm
b. 12.0cm
Step-by-step explanation:
a. (HYP)² = (ADJ)² + (OPP)²
= 5² + 8²
= 25 + 64
√(HYP)² = √89cm
HYP = 9.4cm
b. (ADJ)² = (HYP)² - (OPP)²
= 17² - 12²
= 289 - 144
√(ADJ)² = √145cm
ADJ = 12.0cm
How many radians are in 120°? ?7T22T30123
To convert 120 degrees to radians, we have to multiply by pi/180 and simplify the fraction:
[tex]120\cdot\frac{\pi}{180}=\frac{120}{180}\cdot\pi=\frac{12}{18}\pi=\frac{2}{3}\pi[/tex]therefore, there are 2/3 pi radians in 120 degrees
A license plate has two letters followed by three digits.What is the probability that the license plate are all odd numbers?
The number plate has two letters and three digits
The probability that the license plate are all odd numbers will be ...........
The probability of that the three numbers are odd is 1 / 2 x 1 / 2 x 1 / 2 = 1/8
#9 - A card is drawn from a standard deck of playing cards. Find the probability that youdraw an ace.O 7.7%O 6.8%O 5.5%O 6.2%
Answer:
7.7%.
Explanation:
The number of cards in a standard deck, n(S)= 52
The number of aces in a standard deck, n(A) = 4 i.e 1 per suit.
Therefore, the probability that you draw an ace:
[tex]\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ =\frac{4}{52} \\ \approx0.0769 \\ \approx7.7\% \end{gathered}[/tex]The probability that you draw an ace is 7.7%.
write a linear equation that has m=4 and has an x intercept of (5,0)
the equation is of the form y = mx + b, then
for b:
[tex]\begin{gathered} 0=4(5)+b \\ 0=20+b \\ 0-20=20+b-20 \\ b=-20 \end{gathered}[/tex]the equation is:
[tex]y=4x-20[/tex]Find a linear equation satisfying the condition, if possible. Passes through (−1,5) and (0,10)
The linear equation has the coordinates (−1,5) and (0,10) ,
[tex]y-5=\frac{10-5}{0+1}(x+1)[/tex][tex]y-5=\frac{5}{1}(x+1)[/tex][tex]y-5=5x+5[/tex][tex]y=5x+10[/tex]Hence , the linear equation is y=5x+10.
Complete the function table.Input (n) Output (n + 5)-242
Answer
To complete the table, you need to substitute the values of the inputs (n) given into the output (n+5) given.
Which is the best estimate for 2 2/3 × 3 1/4
The best estimate of the real number expression; 2 ⅔ × 3 ¼ as given in the task content is; 8 ⅔.
What is the best estimate of the real number expression given?It follows from the task content that the best estimate of the real number expression given is to be determined.
On this note, the mixed numbers must be converted to fractions for ease of computation as follows;
Therefore; 2 ⅔ = 8 / 3.
And, 3 ¼ = 13 / 4.
Therefore, the required evaluation of the expression is;
2 ⅔ × 3 ¼ = 8 / 3 × 13 / 4
= 104/12
= 26 / 3
Hence, the best estimate for the given expression is; 26 / 3 Or 8 ⅔.
Read more on fractions multiplication;
https://brainly.com/question/7335118
#SPJ1
Question 3(Multiple Choice Worth 3 points)
(01.02 MC)
Joaquin wants to make his famous chocolate chip cookies to bring to his friend's birthday party. The original recipe serves 5 people and requires 1/4 a cup of butter but he needs to serve 28 people. How many cups of butter will he need?
Answer:
B
Step-by-step explanation:
What is the value of x?x = ___ ydRound your answer to the nearest tenth
We need to use the cosine of the angle, in this case:
Cos(37°) = 30 yd / X
Thus, X = 30 / Cos(37) = 30 / 0.7986 = 37.56
