Answer:
The centre of gravity.
Step-by-step explanation:
can i have brainliest pls?
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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63 + (15 - 6) x 14 + 2
Answer:
191
Step-by-step explanation:
1) Simplify 15-6 to 9
63 + 9 x 14 + 2
2) Simplify 9 x 14 to 126
63 + 126 + 2
3) Simplify 63 + 126 to 189
189 + 2
4) Simplify
191
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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Which of the following statements is true regarding that equation |x+3|-2=k?
The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions
How to determine which statement is true regarding the equation |x+3|-2=k?
Given: |x+3|-2=k
Below are rules for solving absolute value equations:
1. If p is positive and |y| = p, then
x = p OR y = -p
(two equations are set up)
2. If p is negative and |y| = p, then
No solution
3. If p is zero and |y| = p, then
One solution
Using the rules:
|x+3|-2=k
when k = -1
|x+3|-2= -1
|x+3| = 1
Rule 1 is applicable here. Thus, there are solutions
when k = -3
|x+3|-2 = -3
|x+3| = -1
Rule 3 is applicable here. Thus, no solution
Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions. The 2nd option is the true statement
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Drag each tile to the correct box. The time that passes between pictures taken is given for different high-speed cameras Arrange the cameras in order from shortest to longest time passed between pictures. Tiles camera C: 1.1 x 103 camera D: 8.7 x 10-4 camera A: 1.2 x 10-3 seconds camera B: 9.8 x 10-4 seconds seconds seconds Sequence
Using the given information, we can express the following
\(10^{-2}\cdot x=10^{-4}\)Let's solve for x
\(x=\frac{10^{-4}}{10^{-2}}=10^{-4-(-2)}=10^{-4+2}=10^{-2}\)So, the answer is
\(10^{-2}\)PLS HELP ME :(
If Yvonne must drive 373 kilometers from Toronto to Detroit, approximately how many miles will she drive? (1 kilometer ≈ 0.62 mile)
Answer:
601.61 miles
Step-by-step explanation:
1 km= 0.62 miles
373 km= 373÷0.62= 601.61 miles
hope it helps!
Find absolute and relative change as a percentage.
The U.S. per person consumption of beef decreased from 67.8 pounds in 2000 to 57.7 pounds in 2020.
The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.
How to determine the absolute and relative change as a percentage.To find the absolute and relative change as a percentage in the U.S. per person consumption of beef from 2000 to 2020, we can follow these steps:
Calculating the absolute change:
Absolute change = Final value - Initial value
= 57.7 pounds - 67.8 pounds
= -10.1 pounds
Step 2: Calculate the relative change:
Relative change = (Absolute change / Initial value) * 100
= (-10.1 pounds / 67.8 pounds) * 100
≈ -14.9%
The absolute change is -10.1 pounds, indicating a decrease in per person consumption of beef.
The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.
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how do you solve for x in the following problem? 4x + 16 equals 24
Let's begin by listing out the information given to us:
\(\begin{gathered} 4x+16=24 \\ \text{Subtract 16 from both sides, we have:} \\ 4x+16-16=24-16_{} \\ 4x=8 \\ \text{Divide both side by 4, we have:} \\ \frac{4x}{4}=\frac{8}{4}\Rightarrow x=2 \\ x=2 \end{gathered}\)Find the 19th term in the geometric sequence, the first term being a=4 and the common ratio being r=2
The 19th term of a geometric sequence is 1048576.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
a = 4 and r = 2
The nth term of a geometric sequence.
= a\(r^{n-1}\)
Now,
The 19th term of a geometric sequence.
= a\(r^{n-1}\)
Substituting a and r values.
= 4 x \(2^{19 - 1}\)
= 4 x \(2^{18}\)
= 4 x 262144
= 1048576
Thus,
The 19th term of a geometric sequence is 1048576.
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Aleks topic please help
Answer:
Item price now= 3.95
Step-by-step explanation:
To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day
Find the distance between the points. (-2,2) and (-2,10)
Answer:
3 digits
Step-by-step explanation:
Determine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15. negative 1 over 3 times g plus negative 18 negative 4 over 12 times g plus negative 12 4 over 12 times g plus negative 18 16 over 12 times g plus negative 12 (BEST ANSWER WILL GET BRAINLIST)
The expression that is equivalent to the expression illustrated is 1/12g - 18.
What is an expression?It should be noted that an expression is used to show the relationship between the variables.
The expression will be illustrated as:.
= 5/4g - 3 - 7/12g - (1/3g + 15)
= 5/4g - 3 - 7/12g - 1/3g - 15
= 5/4g - 7/12g - 1/3g - 3 - 15
= 15/12g - 7/12g - 4/12g - 18
= 1/12g - 18
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I really need help with this
Answer:
Step-by-step explanation:
Statement Reason
PR ≅ TR Given
<PQR≅<TSR Given
<PRQ≅<TRS Vertical Angles Theorem
PQR=TSR SAS Theorem (Side-Angle-Side)
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
what digit 7 sits in this number 714,583
Answer:
Hundred thousands place.
Answer:
In this case the number 7 would be located in the hundreds of thousands.
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I hope help you :)
Kind regards, Antonio.
For rhombus abcd find the length of ad and the perimeter of the rhombus
Answer:
See below
Step-by-step explanation:
In a rhombus, all four sides are equal to each other
Which means:
\(AB = BC = CD = AD\):
\(y + 8 = 3y\)
Solve for y:
\(8 = 3y - y\)
\(8 = 2y\)
= y = \(\frac{8}{2}\)
∴y = 4
Substitute this value of y in any of the two expressions to determine the length of the rhombus :
y + 8
4 + 8 = 12 units
∴Length of AD = 12 units
Perimeter of a rhombus = Sum of all side lengths
= (12 + 12 + 12 + 12) units
= 48 units
\( \sqrt{20} \times \sqrt{15} \times \sqrt{3} \)
can you help me solve it
If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /
Answer:
1/4
Step-by-step explanation:
If you flip it twice the possible outcomes are
H H
H T
T H
T T
The chances of you getting H H is 1 / 4. If you flip it more than twice, the probability changes. Let's try three times. That gives you 8 different choices.
H H H *
H H T *
H T H
H T T
T H H *
T H T
T T H
T T T
What this gives is 3 chances out of 8 which is 0.375 and that's better than 0.25
Four would give you an even better result, There are 16 ways of flipping a coin 4 times. The successful results are
H H H H
H H H T
H H T T
H H T H
T H H T
T T H H
H T H H
I'm sure there might be a couple of more, but already you have done better than 3/8
7/16 is almost 1/2
7/16 = 0.4375
I think however that the answer you should submit is 1/4
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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Find the measure of x.
8
12
14
7
Answer: 8
Step-by-step explanation:
Set the two equations equal to each other and solve for X
Find the slope of the line that passes through these two points: (- 4, - 4) and (4, - 1)
Answer:
Step-by-step explanation:
( -1 + 4)/(4 + 4)= 3/8
Help me please!!!
Whoever answers right gets brainliest!
The equation that best describes the relation is y = -x+1 ( optionD)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Taking x(0,1) and y ( 1,0)
therefore the slope of the line
= 0-1/1-0
= -1/1 = -1
the equation a line is given as
y-y1 = m(x-x1)
= y-1 = -1( x - 0)
= y-1 = -x
y = -x +1
therefore the equation that describe relation is y = 1-x or y = -x+1
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The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answer:
Step-by-step explanation:
3.6*
It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2
For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.
We get
36 = s^2
Now, we need to get the square root of both sides, which gives us
s = √36 s = 6 cm
Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.
Therefore, the perimeter of the square is 24 cm.
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Please help ASAP Due in 1:00 P.M!!! Marking Brainliest!!!
Step-by-step explanation:
your ans is 73°
hope it help u.
Answer: 73°
Step-by-step explanation: Hope it helped
Question 8 (2 points) Saved
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Passes a horizontal line test.
Passes vertical line test.
No repeating x values,
No repeating y values.
Answer: passes a horizontal AND vertical line test✅; no repeating x values✅
Step-by-step explanation:
To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.
Lastly, it can be a function if it has repeating y values.
The 10th grade class at Central high school was surveyed about whether they liked running or swimming. Of those surveyed, 58% said they liked to swim and 36% said they liked to run. If 18% said they liked both swimming and running, what percent of those surveyed liked neither?
Answer:
24% of those surveyed liked neither
Step-by-step explanation:
Set concepts:
We use set concepts to solve this question.
I am going to say that:
P(A) is the percentage of people that liked to swim.
P(B) is the the percentage of people that liked to run.
The percentage of people that liked at least one of these activities is:
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
In which \(P(A \cap B)\) is the probability that a person liked both these activities.
The percentage of people that liked neither is:
\(P = 1 - P(A \cup B)\)
Of those surveyed, 58% said they liked to swim and 36% said they liked to run.
This means that \(P(A) = 0.58, P(B) = 0.36\)
18% said they liked both swimming and running
This means that \(P(A \cap B) = 0.18\)
What percent of those surveyed liked neither?
At least one:
\(P(A \cup B) = 0.58 + 0.36 - 0.18 = 0.76\)
Neither:
\(P = 1 - P(A \cup B) = 1 - 0.76 = 0.24\)
24% of those surveyed liked neither
Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110
Answer:15x+35=110
Step-by-step explanation: