Answer:
Option C. [tex]25\pi\ ft^{2}[/tex]
Step-by-step explanation:
The complete question is
The diameter of Jim’s circular flower bed is 10 feet. What is the area, in square feet, of Jim’s flower bed?
A) 10π
B) 20π
C) 25π
D) 100π
we know that
The area of a circle (Jim's circular flower bed) is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
we have
[tex]r=10/2=5\ ft[/tex] ----> the radius is half the diameter
substitute
[tex]A=\pi (5)^{2}[/tex]
[tex]A=25\pi\ ft^{2}[/tex]
2x - (4x - 4) = 16 - 8
What is the answer
Answer:
X=-2
Step-by-step explanation:
PLUG IT IN HTE EQUATION BRAINLIEST PLZZZ
Answer:
x = - 2
Step-by-step explanation:
Given
2x - (4x - 4) = 16 - 8 = 8 ← distribute parenthesis and simplify left side
2x - 4x + 4 = 8
- 2x + 4 = 8 ( subtract 4 from both sides )
- 2x = 4 ( divide both sides by - 2 )
x = - 2
x/5 +8=3 what would x be
Answer: x= -25
Step-by-step explanation:
Answer:
x=-25
Step-by-step explanation:
x/5 = 8 = 3 you would multiply both sides by 5
youd end up with x+40=15 then you would move the constan to the right
x=15-40 you would subtract 40 from 15
x=-25
what is the solution to the linear equation - 12 + 3B -1 = -5 - b
Step-by-step explanation:
3B+b=_5+12+1
4Bb=8
4Bb/4=8/4
Bb=2
Answer:
B = 2
Step-by-step explanation:
To solve the linear equation;
- 12 + 3B -1 = -5 - B
we will first collect like-term that is; we will make all the B variables to be on the left-hand side of the equation and all the constant to be on the right-hand side of the equation
( when -B cross over to the left-hand side of the equation, B becomes positive, when -12 and -1 cross over to the right-hand side of the equation, they become positive 12 and 1)
3B + B = -5 + 12 + 1
4B = 8
Divide both-side of the equation by 4 to get the value of B
4B/4 = 8/4
(on the left-hand side of the equation ,4 will cancel out 4 leaving us with B and 8 will be divided by 4 to give us 2)
B = 2
Therefore the solution to the linear of the equation is B = 2
A zoo has 15 toucans and 60 parrots. what is the radio of the Numbers of toucans to the Numbers of parrots at the zoo?
Answer:
the radio of the Numbers of toucans to the Numbers of parrots at the zoo is 1:4
Step-by-step explanation:
For each toucan there are 4 parrots
15/60 = 1/4
Answer: 1:4
Step-by-step explanation: the answer would be 1:4.
What is the y intercept of the equation y=4x+1
Answer:
+1
Step-by-step explanation:
The y-intercept is +1.
What is the equation of a circle with center (1, -4) and radius 2?
A. (x-1)^2 + (y+4)^2 = 4
B. (x-1)^2 - (y+4)^2 = 4
C. (x-1)^2 + (y+4)^2 = 2
D. (x+1)^2 + (y-4)^2 = 4
Answer:
A) (x-1)^2+(y+4)^2=4
Step-by-step explanation:
Here's the equation of a circle with center and radius:
(x-h)^2+(y-k)^2=r^2 with the center being at the point (h, k)
and the radius being r.
(x-1)^2+(y-(-4))^2=2^2
(x-1)^2+(y+4)^2=4
The equation of a circle with center (1, -4) and radius 2 is (x-1)²+(y+4)²=4
The correct option is (A).
What is equation of circle?The equation of circle represents the locus of point whose distance from a fixed point is a constant value. This fixed point is called the center of the circle and the constant value is the radius of the circle.
The standard equation of circle with center at (x1,y1) and radius r is (x−x1)²+(y−y1)²=r².
We know equation of circle,
(x-a)²+(y-b)²=r²
Here, a=1, b=-4 and r=2
So,
(x-1)²+(y-(-4))²= 2²
(x-1)²+(y+4)²=4
Hence, the equation of circle is: (x-1)²+(y+4)²=4
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i need help with 7-10 plz help
Answer:
bro in Ur pictures there is no 7-10
Step-by-step explanation:
10-7 is 3 right so 7-10 is -3 it simple . but show me questions again because there is no 7-10 . Thank for ur asking me !
A company donated money to valley high school. The principal decided to evenly split the funds between the fifteen classes to spend on supplies. If $3,840 was donated, how much did each class get
Answer:
$256
Step-by-step explanation:
Each class got $256. I know this because I did 3,840 divided by 15 which got me the CORRECT answer of $256
Answer:
$256
Step-by-step explanation:
if there was $3840 donated and theres 15 classes that need to get an even amount so you would do 3840÷15 to see how many times 15 can go in to 3840 to find the even amount of money each class should recieve which is $256
. The function s(l) = 1.34 √l models the maximum speed s in knots for a sailboat with length l in feet at the waterline. a. Use the model to find the length of a sailboat with a maximum speed of 12 knots. Round to the nearest foot.
Answer:
The length of the sailboat is 80 feet.
Step-by-step explanation:
The function
[tex]s(l) = 1.34 \sqrt{l}[/tex] ................ (1)
models the maximum speed s in knots for a sailboat with length l in feet at the waterline.
So, using this model we have to find the length of a sailboat with a maximum speed of 12 knots.
Now, from equation (1) we get
[tex]12 = 1.34 \sqrt{l}[/tex]
⇒ [tex]\sqrt{l} = 8.955[/tex]
⇒ [tex]l = (8.955)^{2} = 80[/tex] feet (Answer)
{The value is round to the nearest foot}
Explain the difference between (-10) To the second power. And -10 To the second power.
Answer:
Basically when you use parantheses it protects that number from becoming negative...
-10^2 is -100 but with paranthesis is 100
Answer:
without the parenthesis it would just be 100 but with it, it would be -100 :)
Which graph represents this system? Y=1/2x+3 and Y= 3/2x-1
Answer:
C)
Step-by-step explanation:
The third graph represents this system.
Answer:
Graph C
Step-by-step explanation:
Thinking process:
The are two ways to solve the system:
1. the substitution method:
for equation (1) y = 1/2x + 3
when x = 0, y = 3
when y = 0, x = -6
for equation (2) y = 3/2x - 1
when x= 0; y = -1
when y = 0; x = 2/3
this gives line C
2. another way to solve the simultaneous equations:
y = 1/2x + 3 ...1
y = 3/2x - 1 ...2
substuting (1) into (2)
3/2x - 1 = 1/2x + 3
x = 4
substituting x = 4 into (1):
y = 1/2x + 3
y = 1/2(4)+ 3
= 5
the point of intersection will be (4 , 5) which is line c
Either method works.
Paula used these steps to solve an equation:
Step 1: -4(7 + 8) - 21 = 25
Step 2: -4r – 32 - 2x = 25
Step 3: -61 – 32 = 25
Step 4: -6x = 57
Step 5: x = -95
Between which two steps did Paula use the division property of equality?
Answer:
Between step 4 and step 5
Step-by-step explanation:
The Division Property of Equality states that when both sides of an equation are divided by the same nonzero number, both sides remain equal.
That is, if a, b, and c are real numbers such that a = b and c ≠0, then
[tex]\frac{a}{c} = \frac{b}{c}[/tex]
At step 4: The equation was -6x = 57
To move to step 5, Paula had to divide both sides by the co-efficient of x (-6) in order to get the value of x. See below
[tex]-6x = 57[/tex] ---- Divide both sides by -6 (Step 4)
[tex]\frac{-6x}{-6} = \frac{57}{-6}[/tex] ---- (Intermediary between step 4 and 5)
[tex]x = -9.5[/tex] ----- Step 5
Hence, we can conclude that the division property of equality was done between step 4 and step 5
1. What is the definition of a function in algebra?
2. which one of the sets below is a function? Explain why.
(3,3) (4,4) (5,5) (6,6) (1,6) (2,6) (3,4) (2,8)
3. What is slope-intercept form?
4. In the equation y = -2x + 6 identify the slope and y-intercept
5. what is the slope and equation of a horizontal line and a vertical line?
1. The definition of a function is based on the concept of a mapping from one set to another, where each element in the domain has a unique image in the range. This is a fundamental concept in mathematics and is used to describe relationships that are deterministic in nature.
2. To determine if a set of ordered pairs is a function, one must ensure that no two ordered pairs have the same first component (x-value) and different second components (y-values). This is known as the vertical line test. If a vertical line can be drawn that intersects the graph of the relation at more than one point, then the relation is not a function.
3. The slope-intercept form is a standard form for linear equations that is particularly useful for graphing lines and for understanding the slope and y-intercept of the line. It is derived from the general form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.
4. In the given equation y = -2x + 6, the coefficient of x represents the slope, which is -2, indicating that for every 1 unit increase in x, y decreases by 2 units. The constant term, 6, represents the y-intercept, which is the value of y when x = 0.
5. A horizontal line has a slope of zero because there is no change in the y-value as the x-value changes. Thus, the slope, which is the ratio of the change in y to the change in x, is zero. The equation of a horizontal line is simply y = b, where b is the y-value of every point on the line.
A vertical line has an undefined slope because the change in x is zero (since x does not change), and division by zero is undefined in mathematics. The equation of a vertical line is x = a, where a is the constant x-value for every point on the line.
Through:(5,1), parallel to y =1/5x-4
If the line is parallel to y=1/5x-4, the line must have the same slope.
So, the slope of your line is 1/5.
Now we need to find the y intercept. We should use the point given.
y=mx+b
1=1/5(5)+b
b=0
Equation: y=1/5x
Answer:
y = (1/5)x
Step-by-step explanation:
y = mx+b
m= slope would be the same i.e. 1/5 , since it's parallel to the given equation.
y= 1
x= 5
Hence, let's look for the equation of this line of which the coordinate is provided!
1 = (1/5)(5) + b
1 = 1 +b
1-1 = b
b = 0
Hence the equation of this line is:
y = 1/5(x)
Hope this helps!
Mark brainliest of you think I helped! Would really appreciate!
You find a car that costs $18,500. If the interest rate on a 5-year loan is 6.25% and you make monthly payments on the car, what is the total amount of interest that you will pay over the life of the loan?
What are the two basic qualifications to vote in the United States?
Answer:
Here are 3
Step-by-step explanation:
Are a U.S. citizen.
Meet your state's residency requirements.
Are 18 years old on or before Election Day.
What is the discriminant of the quadratic equation 0 = -х2 + 4х – 2?
Answer:
8
Step-by-step explanation:
The discriminant of ax² + bx + c = 0 is b² − 4ac.
Here, a = -1, b = 4, and c = -2.
b² − 4ac
(4)² − 4(-1)(-2)
16 − 8
8
Which expression is equivalent to the one below?
- 1/2 ( 10 + 1/4 )
A) -5 - 1/4
B) -5 - 1/8
C) -5 + 1/8
D) -5 + 1/4
Answer:
C) -5 -1/8
Step-by-step explanation:
You need to use the distributive property.
1) ( - 1/2 x 10 ) + ( - 1/2 x 1/4 )
2) 10 / -2 = -5, and -1/2 x 1/4 = -1/8
3) Make them into one equation. -5 - 1/8 is the same as - 1/2 ( 10 + 1/4 )
Final answer:
The equivalent expression to -1/2(10 + 1/4) is -5 - 1/8. Simplify the expression by distributing the -1/2 and combining the results.
Explanation:
The expression given is: -1/2(10 + 1/4)
To simplify this expression:
Distribute the -1/2: -1/2 * 10 = -5 and -1/2 * 1/4 = -1/8
Combine the results: -5 - 1/8
Therefore, the equivalent expression is: -5 - 1/8 (Option B)
2x-y=23 & x-9=-1 by substitution
Answer:
x=8, y=-7. (8, -7).
Step-by-step explanation:
2x-y=23
x-9=-1
-----------------
x=-1+9=8
x=8
-------------
2(8)-y=23
16-y=23
y=16-23=-7
x=8, y=-7. (8, -7).
Penny has some money. After
she pays $5 for her new kitten,
she will have $27. How much
money does she have now?
Answer:
$32
Step-by-step explanation:
The money she spent was $5 on the kitten and if you add $5 to the remaining $27 that is $32
Current amount that Penny have is $32.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
The amount that Penny have after = $27.
Also, Penny pays $5 for her new kitten.
Since, amount $27 remains after paying $5.
So initial amount should more than $5.
The amount = current amount + amount paid for kitten
= 27 + 5
= 32
The required amount that Penny have = $32.
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Write a linear function f with the values f(10)=5 and f(2)=-3
Answer:
[tex]f(x)=x-5[/tex]
Step-by-step explanation:
step 1
Find the slope m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the ordered pairs
(10,5) and (2,-3)
substitute the values
[tex]m=\frac{-3-5}{2-10}[/tex]
[tex]m=\frac{-8}{-8}[/tex]
[tex]m=1[/tex]
step 2
Find the equation of the line in slope intercept form
[tex]f(x)=mx+b[/tex]
we have
[tex]m=1[/tex]
[tex]point\ (10,5)[/tex]
substitute and solve for b
[tex]5=(1)(10)+b[/tex]
[tex]5=10+b[/tex]
[tex]b=-5[/tex]
The linear function is equal to
[tex]f(x)=x-5[/tex]
The linear function with the values [tex]f(10)=5[/tex] and [tex]f(2)=-3[/tex] is [tex]f(x)=x-5[/tex].
Step-by-step explanation:
Given information:
The values of a liner function
[tex]f(10)=5[/tex]
and
[tex]f(2)=-3[/tex]
So, we can write the slope as:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\[/tex]
On, putting the values:
[tex]m=\frac{-3-5}{2-10} \\m=1[/tex]
Point (10,5)
Now ,substitute the values in the linear equation:
[tex]\text {y=mx+b}[/tex]
where, m is the slope.
[tex]5=1 \times 10 + \text b\\\text b=-5[/tex]
Now put the values to get the required linear function.
So, the linear function with the values [tex]f(10)=5[/tex] and [tex]f(2)=-3[/tex] will be [tex]f(x)=x-5\\[/tex]
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The sum of 11 and m is greater than -23.
Answer: m=34
Step-by-step explanation:
11+m=-23
add 23 on both sides
m=34
The senior classes at High school A and High school B planned separate trips to New York city. The senior class at high school A rented and filled 1 van and 6 buses with 372 students, High school B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. how many students can a van carry? How many students can a bus carry?
Each van carried 18 students and each bus carried 59 students.
Step-by-step explanation:
Let,
students carried by one van = x
students carried by one bus = y
According to given statement;
x+6y=372 Eqn 1
4x+12y=780 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(x+6y=372)\\4x+24y=1488\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](4x+24y)-(4x+12y)=1488-780\\4x+24y-4x-12y=708\\12y=708[/tex]
Dividing both sides by 12
[tex]\frac{12y}{12}=\frac{708}{12}\\y=59[/tex]
Putting y=59 in Eqn 1
[tex]x+6(59)=372\\x+354=372\\x=372-354\\x=18[/tex]
Each van carried 18 students and each bus carried 59 students.
Keywords: Linear equations, subtraction
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Each van carried 18 students and each bus carried 59 students.
Step-by-step explanation:
Let,
students carried by one van = x
students carried by one bus = y
According to given statement;
x+6y=372 Eqn 1
4x+12y=780 Eqn 2
Multiplying Eqn 1 by 4
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 12
Putting y=59 in Eqn 1
The sixth-graders at Sarah's school got to choose between a field trip to a museum and a field trip to a factory. 70% of the sixth-graders picked museum. If there are 100 sixth graders in all at Sarah's school, how many sixth-graders went on the trip to the museum?
Please Show your work and or explain.
The problem involves applying the concept of percentage. By using the given data, we find that 70 sixth graders went on the museum trip.
Explanation:The subject of this problem is percentage and its application in a real-world situation. The problem stated that 70% of the sixth graders chose to go to the museum. As there are 100 sixth graders, to calculate the number of students who went on the museum trip, you would use the formula percentage/100 x total number.
So, 70/100 x 100 = 70 sixth graders. Hence, 70 sixth-graders from Sarah's school went on the field trip to the museum.
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How would I solve this frequency chart?
Answer:
The number of students who have a test score in the interval 71-80 is 13.
Step-by-step explanation:
Given:
The frequency chart which show the cumulative numbers of students test scores.
Now, to find the number of students who score in the interval 71-80, we will look in the frequency chart. In the chart score range of 65-80 the cumulative number of students are 13. As the 71 to 80 comes in between the score range 65-80 and there are 13 students who scored in this range.
Therefore, the number of students who have a test score in the interval 71-80 is 13.
If an account is increasing at a rate of 3.3% compounded semiannually, what is the exact value of in the following present value
ordinary annuity formula?
PV-P1-(1+1)*
a) 3.3
b) 0.033/100
c) 0.033/2
d) 0.33/2
Answer:
The correct answer is C. 0.033/2
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Annual interest rate = 3.3% compounded semiannually
2. Let's find the exact value of the rate:
Number of periods (n) = n/2, given that periods are semesters and not years
Annual interest rate (r) = 3.3% = 3.3/ 100 = 0.033
For using the correct value in the present value annuity formula, we also have to divide the annual interest rate because the interest is compounded semiannually or every six months, what it means:
0.033/2
The correct answer is C. 0.033/2
c. [tex]\frac{0.033}{2}[/tex]
on edgen
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Which expression represents the sequence below?
16, 24, 32, 40.....
an=4n+1 an=8n+8 an=8n+16
Answer:
[tex]a_n = 8n+8[/tex] represent the sequence 16,24,32,40...
Step-by-step explanation:
The sequence given is
16,24,32,40.
And the options given are
an=4n+1
an=8n+8
an=8n+16
We will check for all so as to find the correct expression.
In the given sequence the first term is 16,
i.e a1 = 16
1). We will check for an = 4n+1 whether the first term is 16 or not.
We will put the value of n as 1;
[tex]a_1= 4\times1+1= 4+1=5[/tex]
With this option we get the first term as 5 but in the given sequence first term is 16.
Hence this option is Incorrect.
2). We will check for an = 8n+8 whether the first term is 16 or not.
We will put the value of n as 1;
[tex]a_1= 8\times1+8= 8+8=16[/tex]
With this option we get the first term as 16 and in the given sequence also first term is 16.
Hence this option is correct.
3). We will check for an = 8n+16 whether the first term is 16 or not.
We will put the value of n as 1;
[tex]a_1= 8\times1+16= 8+16=24[/tex]
With this option we get the first term as 24 but in the given sequence first term is 16.
Hence this option is Incorrect.
Hence we can say that an = 8n+8 represent the sequence 16,24,32,40...
5,069 round to the nearest tenth
Answer:
5,070
Step-by-step explanation:
Answer:
5069.0
Step-by-step explanation:
The tenth value is the value directly after the decimal point. In this case, the number given is a whole number, and so to find the tenth place value, add a decimal point and a 0 to the back.
~
What is the following product? Square root y^3 * square root x^3
The product of two square roots is equal to the square root of the product, so the product of √y3 and √y3 is y3.
The equation is asking you to multiply the square root of y cubed by itself.
Based on the properties of square roots, if you multiply the square root of a number by itself, you get the original number.
This is because multiplication is the inverse operation for square roots. Meaning, it undoes the square root.
So, in this scenario, you are multiplying [tex]\sqrt{y^{3} }[/tex] * [tex]\sqrt{y^{3} }[/tex]which results in y^3.
Thus, the product of [tex]\sqrt{y^{3} }[/tex] and [tex]\sqrt{y^{3} }[/tex]is y^3, assuming y≥0.
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Write a linear expression in simplest form to represent total field goal points scored in the first two quarters.
1st quarter= 2x-6
2nd quarter = x+2
Answer:
Part A) The linear expression that represent the total field goal points scored in the first two quarters is (3x-4)
part B) The linear expression that represent the total points scored in the game is [tex]6x-1[/tex]
Step-by-step explanation:
Part A) we know that
To find out the total field goal points scored in the first two quarters, sum the field goal points scored in the first quarter plus the field goal points scored in the second quarter
we have that
1st quarter= 2x-6
2nd quarter = x+2
therefore
[tex](2x-6)+(x+2)[/tex]
Group terms
[tex](2x+x)+(-6+2)[/tex]
Combine like terms
[tex]3x-4[/tex]
therefore
The linear expression that represent the total field goal points scored in the first two quarters is (3x-4)
Part B) we know that
To find out the total points scored in the game, sum the field goal points scored in the first quarter, plus the field goal points scored in the second quarter plus the field goal points scored in the third quarter, plus the field goal points scored in the fourth quarter, plus the total free throw points.
we have that
1st quarter= 2x-6
2nd quarter = x+2
3rd quarter=2x
4th quarter=x-6
Free throw points =9
therefore
[tex](2x-6)+(x+2)+2x+(x-6)+9[/tex]
Group terms
[tex](2x+x+2x+x)+(-6+2-6+9)[/tex]
Combine like terms
[tex]6x-1[/tex]
therefore
The linear expression that represent the total points scored in the game is [tex]6x-1[/tex]