Answer:
See below ~
Step-by-step explanation:
Kindly note the 2nd equation in the above question formed will be :
2x + 4y = 20
The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :
x (number of chickens) = 6y (number of sheep) = 2find the perimeter and the area of the figure
Answer:
area=112
perimeter=56
Find the equation of the line that passes through the point (-8,15) and is perpendicular to the equation below.
y = -4/5x + 5
A. y = -5/4x + 5
B. y = -4/5x - 7
C. y = -4/5x + 23
D. y = 5/4x + 25
Please help asap!
Answer:
[tex]y = \frac{5}{4} x + 25[/tex]
Step-by-step explanation:
We were told that the equation of the line we are looking for is perpendicular to
[tex]y = - \frac{4}{5} x + 5[/tex]
We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore
[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]
[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]
[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]
A cylinder has a base area of 50π cm². Express the volume V of the cylinder as a function of its height h. (V = πr²h)
Step-by-step explanation:
the last option is your answer
can you guys help me with this fast
Answer:
1/2¹⁵ or 2⁻¹⁵
Step-by-step explanation:
2³ / (2⁶)³
2³ / 2¹⁸ (The exponents multiply in such cases)
1 / 2⁽¹⁸⁻³⁾
1/2¹⁵ or 2⁻¹⁵
Can someone give me a simple explanation on how to simplify radicals.
Answer:
Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.
Step-by-step Have explanation:
a great day
Technology required. A function f gives the number of stray cats in a town t years since the town started an animal control program. The program includes both sterilizing stray cats and finding homes to adopt them. An equation representing fis f(t) = 243()': a. What is the value of f (t) when t is 0?
The number of stray cats in the town in t=0 years will be 243.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The given function is:-
[tex]f(t) = 243(\dfrac{1}{3})^t[/tex]
f(t) is representing the number of the stray cats in t years so in t=0 years the number of the cats will be:-
[tex]f(t) = 243(\dfrac{1}{3})^0= 243[/tex]
f(t) = 243 cats
It states that initially at t=0 years there were 243 cats in the town.
Therefore the number of stray cats in the town in t=0 years will be 243.
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The pirate captain ordered his men to dig
For treasure. Six men dug, one at a time, im
qual shifts for a total of three and a half
hours. How long was each man's shift?
Asap help
Can some one help me
Answer:
The side b is 2√6 unit
Step-by-step explanation:
in right triangle ΔABC,∠C=900,a=5,c=7;c is
the side opposite to the right angle, so it is hypotenuse,
aandb are the adjacent sides of the right angle .
We know in right triangle ΔABC,a²+b²=c²
∴5²+b²=7²or
b²=49−25=24
∴√b²=√24
b=√24
b=2√6
. The side b is 2√6 unit [Ans]
AB = 7 cm
CB = 5 cm
AC = 2√6cm
According to Pythagoras Theorem,
AC²=BC²+AB²
(2√6)²=5²+7²
24=25+49
24=74
Hence, it is not a right-angled triangle ABC.
Which best describes independent events?
A. The results of all events have different individual probabilities.
B. The results of any previous events affects the probability of future events.
C. The results of all events have the same individual probability.
D. The results of all previous events do not affect the probability of future events.
The option that best describes independent events is the results of all previous events do not affect the probability of future events.
What are independent events?Independents events are events whose occurrence do not depend on each other. They are random events.
For example, there is no relationship between the the colour of shoes you wear and the chances that it would rain. Thus, they are independent events.
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Answer:
D ✔️
Step-by-step explanation:
"The results of all previous events do not affect the probability of future events."
Which of the following is a compound event?
Getting sum 12 when rolling two dice
Getting sum 2 when rolling two dice
Getting sum 6 when rolling two dice
None of the choices
Answer:
Getting sum 6 when rolling two dice
help please
What is e in math?
e is the Exponential Constant or Euler's Number.
It has a value of 2.718281828...
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
e to the n is given by:
[tex]\huge{e}^{n}= [\sum_{k=0}^{∞} (\frac{{n}^{k}}{k!})][/tex]
1. philosophy (intro to logic
measure your understanding of the 4 new rules of inference for predicate logic (pl): universal instantiation (ui), external instantiation (ei), existential generalization (eg), and universal generalization (ug) and one new rule of replacement: quantifier negation (qn) required for demonstrating that arguments of predicate language (pl) are valid.
question: is the following statement true or false?
the following statement is true
Look at the given triangles.
triangles
The blue triangle is a right triangle. The vertical leg is labeled with the expression 4 x plus 2. The horizontal leg is labeled with the expression 5 x minus 4. The hypotenuse is labeled with the expression 7 x plus 7.
The red triangle is a right triangle. The vertical leg is labeled with the expression x plus 3. The horizontal leg is labeled with the expression x plus 7. The hypotenuse is labeled with the expression 2 x minus 5.
a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
c. Find the perimeter for each triangle when x = 3
Answer:
Step-by-step explanation:
Blue triangle
a = 4x + 2
b = 5x - 4
c = 7x + 7
-------------------------------------------------
perimeter = a + b + c
4x + 2 + 5x - 4 + 7x + 7
16x + 5
Blue triangle Perimeter = 16x + 5
--------------------------------------------------
Red triangle
a = x + 3
b = x + 7
c = 2x - 5
perimeter = a + b + c
x + 3 + x + 7 + 2x - 5
4x + 5
Red triangle Perimeter = 4x + 5
-----------------------------------------------------
The difference between
Larger triangle -> Blue
Smaller triangle -> Red
(16x + 5) - (4x + 5) = 12x
------------------------------------------------------
Perimeter when x = 3
Blue triangle Perimeter = 16x + 5
16*3 + 5 = 53
Red triangle Perimeter = 4x + 5
4*3 + 5 = 17
The Hormel Corporation has an annual dividend rate of $1.04. If you owned 5,000 shares of
Hormel, how much would you receive annually in dividends?
$4,900
$5,000
$5,100
$5,200
Answer:
$4,900
Step-by-step explanation:
[tex]\frac{\mbox{number of shares}}{\mbox{annual dividend}} = \frac{5,000}{1.04}[/tex]
This simplifies to 4807.7, which you can round to $4,900.
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Answer: A, B
Step-by-step explanation:
A and B are unique to parallel lines, C and D are not.
Select the correct graph for the function f(x) = 3x + 4 .
Answer:
No graph was provided but Ive attached my own
Step-by-step explanation:
f(x) = 3x + 4 → y = mx + b
y - intercept (b) is 4
slope (m) is 3 so the rise / run = 3 / 1
Cooper asked his classmates, "How many days do you floss your teeth in a
typical week?" The table shows Cooper's data.
Days of Flossing per Week
4
5
4 2
3
3
1
0
3
3
6
7
2
6
0
5
3
2
7
0
4
4
4
3 3
0
1
2
2
3
5 3
7
1
3
How many observations did he record?
OA. 40
OB. 35
OC. 30
D. 7
сл
Considering the given table, it is found that he recorded 35 observations, hence option B is correct.
How do we find the number of observations on the table?We have to look at the number of rows and columns the table. The table has 7 rows, each with 5 columns, hence the number of observations is given by:
N = 7 x 5 = 35.
Hence option B is correct.
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What is the volume of a
triangular pyramid that is
12 ft tall and has a base
area of 5 squar & ft?
Answer:
60 ft³
Step-by-step explanation:
Concepts
The volume of any prism is represented as Bh, where B = Area of the Base and h = height of the prism.
Application
In this case, we're given the area of the base as five feet² and the height as 12 feet. Now, we just multiply these two numbers to get the volume.
Solution
12 × 560 feet³Find the distance between the points (9, –6) and (–4, 7).
Question 19 options:
A) [tex]2\sqrt{85}[/tex]
B) [tex]3\sqrt{39}[/tex]
C) [tex]13\sqrt{2}[/tex]
D) [tex]3\sqrt{39}[/tex]
The distance between the points (9, –6) and (–4, 7) will be 13√2. Then the correct option is C.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D² = (x - p)² + (y - q)²
The points are (9, –6) and (–4, 7). Then the distance will be
D² = (-4 - 9)² + (7 + 6)²
D² = 13² + 13²
D² = 169 + 169
D² = 338
D = √338
D = 13√2
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Please some one help with this question
Answer:
Where is the picture????
Y = -2x x + y = 7 what does x equal what does y equal
Answer:
[tex]x = 0[/tex]
[tex]y = 7[/tex]
Pete is 14 and his grandfather is 54. How many years
ago was his grandfather 6 times as old as Pete?
Answer:
6 years ago
Step-by-step explanation:
[tex]6(14-x)=54-x\\84-6x=54-x\\30-6x=-x\\30=5x\\6=x[/tex]
So, Pete's grandfather was 6 times as old as Pete 6 years ago. This means that when Pete was 8 years old, his grandfather was 48 years old.
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
The simplified value of the exponential expression is 2.
How to get the simplified expression?
Here we need to simplify the expression:
[tex]16^{1/4}[/tex]
First, you need to remember that:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Then we can just write:
[tex]16^{1/4} = \sqrt[4]{16}[/tex]
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]
So we conclude that the simplified value is 2.
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Answer:
The simplified value of the exponential expression is 2.
How to get the simplified expression?
Here we need to simplify the expression:
First, you need to remember that:
Then we can just write:
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
So we conclude that the simplified value is 2.
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+) First, simplify the fraction.
180
?
t
4
m
Answer:
hope this will help you
[tex] \frac{180}{t} = \frac{?}{4} \\ t = 180 \times 4 \\ t = 720[/tex]
Please help asap please
Answer:
3rd one
Step-by-step explanation:
what is the solution to this inequality?
-4(d-2) <-12
d > 5
d < 5
d < 1
d > 1
Work Shown:
[tex]-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5[/tex]
In the second to last step, the inequality sign flips because we divided both sides by a negative number.
On a coordinate plane, a circle has a center at (1, negative 2) and a radius of 4 units. which equation represents a circle with the same radius as the circle shown but with a center at (-1, 1)? (x – 1)2 (y 1)2 = 16 (x – 1)2 (y 1)2 = 4 (x 1)2 (y –1)2 = 4 (x 1)2 (y – 1)2 = 16
The equation of the circle of radius 4 and center at (-1, 1) is given as follows:
[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem:
The circle has center at (-1,1), hence [tex]x_0 = -1, y_0 = 1[/tex].The circle has radius r = 4.Hence, the equation is given as follows:
[tex](x - (-1))^2 + (y - 1)^2 = 4^2[/tex]
[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]
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How much is 30 pounds if the price per pound is 3.50.
Write an equation of the circle with center (7, 6) and radius 5.
Answer:
( x-7)^2+(y-6)^2 = 25
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x-7)^2+(y-6)^2 = 5^2
( x-7)^2+(y-6)^2 = 25
Answer:
(x-7)^2+(y-6)^2=25
Explanation:
If I were you, I would mark 7 as x and 6 as y. Whatever is in your parenthesis for center of the circle, do the opposite in your equation. Since you have positive 7 & positive 6, turn those into negative numbers for your equation. And for the radius, just times it two times. So 5•5=25
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