Answer:
Point of intersection is the point where two lines or two curves meet each other. The point of intersection of two lines of two curves is a point.
Step-by-step explanation:
Hope it helps! =D
2 lines intersect at:
A point
In a plane, crossed lines square measure any 2 or a lot of lines that cross each other. The purpose of intersection, which may be found on all crossed lines, is wherever the crossed lines share a standard purpose.
Perpendicular lines square measure 2 lines that cross at associate angle of right angles.
Since the purpose of intersection is that the solely location wherever the 2 graphs meet once the lines cross, the coordinates of that location offer the solution to the equations involving the 2 variables.
There are not any solutions once the lines square measure parallel.
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SA=2\pi r^{2}+2\pi rh[/tex]
use 3.14 for [tex]\pi[/tex]
Find the surface area of a water tower that is 40 feet tall and has a diameter of 30 feet.
DO NOT ROUND YOUR ANSWER.
Thee surface area of the water tower is 1664 square feet
How to determine the surface area
It is important to note that the formula for determining the surface area of a cylinder is expressed as;
Surface area = 2πr² + 2πrh
Where;
The value for pi = 3.14The height of the water tower is 40 feetThe diameter of the water tower is 30 feetAlso, note that the formula for diameter is expressed as;
Diameter = 2r
Substitute the value of diameter
30 = 2r
r = 15 feet
Now, substitute the values into the formula
Surface area = 2(3.14)(15)² + 2(3.14)(40)
expand the bracket
Surface area = 1413 + 251. 2
Add the values
Surface area = 1664. 2
Surface area = 1664 square feet
Hence, the value is 1664 square feet
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HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
hello!
your answer would be 258, because the y-intercept goes upwards.
:D have a good day <3
Four different positive integers are to be chosen so that they have a mean of 2017.
What is the smallest possible range of the chosen integers?
The smallest possible range of the chosen integers is; 2015
What is the smallest possible Integer?First of all, the range of a set of numbers is the difference between the largest and smallest numbers in the set.
The smallest range of a set of four different positive integers is 3. This occurs when the integers are consecutive, and only in this case. We first show that we cannot have four consecutive integers
with a mean of 2017.
Assume, to the contrary, that n is a positive integer such that the consecutive integers n, n + 1, n + 2 and n + 3 have 2017 as their mean.
Thus;
[n + n + 1 + n + 2 + n + 3]/4 = 2017
4n + 6 = 2017 * 4
n = 2015.5
Since n is an integer, then this can't be true. However, with a little tweaking of this, we can tell that we can use 2015 as our least integer.
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Your friend
writes the word sentence as an inequality. Is
your friend correct? Explain your reasoning.
Twice a number x is at most-24.
2xS-24
Answer:
Yes, the friend is correct.
Step-by-step explanation:
Twice a number of x is the same as saying multiply x by 2, which equals 2x. At most means 2x can only reach -24 at the very max, so solving for x will give you an answer that should only either be less than or equal to -24. This equation is an inequality because an inequality compares two values; in this case, the inequality is comparing 2x is at most -24, which is the same as saying 2x is less than or equal to -24.
omg for the 3rd time PLEASE I NEED HELP :(
7) A plane which can fly 550 mph in still air flies for 3 hours against a wind and for 2 hours with the
same wind. The total distance it covers is 2725 miles. Find the rate of the wind.
Answer:
25 mph
Hope this helps! :)
The normal price of a computer game is £40
The price is reduced by 1/5 in a sale.
Work out the price of the computer game in the sale.
Answer:
£32
Explanation:
so 1/5 = 0.2
to make 0.2 a percent just multiply by 100 so 0.2 • 100 = 20%
so the discount would be 20%, meaning the game holds 80% of its value since
100-20 = 80
so to make 80% a decimal, divide by 100 so 80/100 = 0.8
so then you just multiply: 40 • 0.8 = 32
so the game is £32
hope this helps :)
The price of the computer game on sale is £32.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, The normal price of a computer game is £40.
The price is reduced by 1/5 in a sale.
∴ The price of the computer game on discount can be obtained if we subtract the fraction of the discount times the normal price from the normal price which is,
= {(40 - (1/5)×40}.
= {40 - 8}.
= £32.
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In a scale drawing, a rectangle has a length of 6.1 inches. The actual rectangle has a length of 85.4 inches.
Using proportions, it is found that the scale of the rectangle is of 1:14.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication and division to find the unit rates.
One example of application of proportions is for scale problems, as the scale is given by the following equation:
Scale = Drawn distance : Actual distance.
For this problem, we have that:
The drawn distance is of 6.1 inches.The actual distance is of 85.4 inches.Hence the scale is of:
6.1 : 85.4.
We can simplify dividing 85.4 by 6.1, hence:
85.4/6.1 = 14.
Hence the simplified scale is:
1:14.
What is the missing information?This problem is incomplete and could not be found on any search engine, hence we are going to suppose that it asks for the scale of the drawing of the rectangle.
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solve using completing the square.
[tex] {x}^{2} + 2x - 15 = 0[/tex]
[tex]x^{2} + 2x - 15 = 0[/tex] -> [tex](x+1)^{2} - 16 = 0[/tex]
-> [tex](x+1)^{2} = 16[/tex]
-> x+ 1 = 4 or -4
-> x = 3 or -5
Answer:
[tex]x=3, \quad x=-5[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]x^2+2x-15=0[/tex]
Solve by Completing the SquareStep 1
Move the constant to the right side of the equation:
[tex]\implies x^2+2x-15+15=0+15[/tex]
[tex]\implies x^2+2x=15[/tex]
Step 2
Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:
[tex]\implies x^2+2x+\left(\dfrac{2}{2}\right)^2=15+\left(\dfrac{2}{2}\right)^2[/tex]
[tex]\implies x^2+2x+1=15+1[/tex]
[tex]\implies x^2+2x+1=16[/tex]
Step 3
Factor the perfect square trinomial on the left side:
[tex]\implies (x+1)^2=16[/tex]
Step 4
Square root both sides:
[tex]\implies \sqrt{(x+1)^2}=\sqrt{16}[/tex]
[tex]\implies x+1=\pm4[/tex]
Step 5
Subtract 1 from both sides:
[tex]\implies x+1-1=-1\pm4[/tex]
[tex]\implies x=-1\pm4[/tex]
Solutions
[tex]\implies x=-1+4=3[/tex]
[tex]\implies x=-1-4=-5[/tex]
Therefore, the solutions of the given quadratic equation are:
[tex]x=3, \quad x=-5[/tex]
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What is the value of −4 + (−16) + 23?
43
3
−11
−35
Step-by-step explanation:
3 ................
.
........................
Answer:
3
Step-by-step explanation:
–4 + (–16) + 23
–4 – 16 + 23
–20 + 23
= 3
At a particular restaurant, each onion ring has 40 calories and each chicken wing has 75 calories. A combination meal with onion rings and chicken wings has a total of 19 onion rings and chicken wings altogether and contains 970 calories. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of chicken wings in the combination meal. Define the variables that you use to write the system.
The equation that can be used to determine the number of onion rings and the number of chicken wings are x + y = 19 and 40x + 75y = 970.
How to calculate a proportionality?To verify a proportionality, that is, whether the quantities are proportional or not, we must make an equality of ratios. If these ratios are equal, the values will be proportional.
Let x represent the number of onion ring and y represent the number of chicken wings.A combination meal with onion rings and chicken wings has a total of 19, hence:
x + y = 19 (1)
Also, they altogether contained 970 calories:
40x + 75y = 970 (2)
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Analyze the biconditional statement below and complete the instructions that follow.
A polygon is a hexagon if and only if it has six sides.
Write a definition based on the given biconditional.
A.
A polygon has six sides if and only if it is a hexagon.
B.
A polygon is a hexagon with six sides.
C.
A hexagon is a polygon with six sides.
D.
If a polygon is a hexagon, then it has six sides.
The definition based on the given biconditional is B. A polygon is a hexagon with six sides.
What is a biconditional statement?A conditional statement combined with its opposite is known as a biconditional statement. As a result, one conditional is only true if and when the other is also true. It frequently employs the phrase "if and only if" or the abbreviation "if." It serves as a reminder that the conditional must be true in both directions by using the double arrow.
The biconditional statement is that the polygon is a hexagon if and only if it has six sides.
Therefore, the correct option that illustrates this is B.
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Please help me with this question!! :)
Answer:
D. The last 26/8, 3-32, -Pi, -4 2/3
Step-by-step explanation:
26/8= 3.25
3-32=3.17
-Pi= -3.14
-4 2/3= -4.67
the sides of a right-angled triangle are related like 3 : 7 and the height drawn on the hypotenuse is 42cm. calculate the projections of the sides on the hypotenuse
The 3 : 7 ratio of the leg lengths and the 42 cm length of the hypotenuse side using Pythagorean theorem, gives the lengths of the sides (the legs of the right triangle) as follows;
[tex]147 \cdot \sqrt{ \frac{2}{29} } [/tex] and [tex] 63 \cdot \sqrt{ \frac{2}{29} }[/tex]
What is Pythagorean theorem?Pythagorean theorem states the square that has the hypotenuse of a right triangle as its side length is equal in area to the sum of the areas of the two squares formed by legs of the right triangle.
Given;
The possible given parameters are;
The ratio of the length of the sides (the legs) of the triangle is 3 : 7
The length of the hypotenuse side = 42 cm
Required: The lengths of the other two sides of the triangle
Solution;
The lengths of the two sides are found as follows;
Let a and b represent the lengths of the legs of the right triangle, according to Pythagorean theorem, we have;
a² + b² = 42²
The ratio of the leg lengths gives;
a/b = 3/7
Therefore;
a = (3/7)•b
Which gives;
((3/7)•b)² + b² = 42²
b²•((3/7)² + 1) = 42²
b = 42²/(((3/7)² + 1)) = 42²×(58/49)
[tex]b = 147 \cdot \sqrt{ \frac{2}{29} } [/tex]
Which gives;
[tex]a =\frac{3}{7} \times 147 \cdot \sqrt{ \frac{2}{29} }= 63 \cdot \sqrt{ \frac{2}{29} }[/tex]
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Angela ran 6 miles on, thursday,5 miles on fryday ,8 miles on saturdy,and 7 miles on sunday .use this informationto write a problem .what method will you use to salve your problem
The problem formed can be:
How many miles did Angela run this week?Which will be solved by doing mathematical operations.And the answer to the formed problem will be 26 miles.
What do we mean by mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The arithmetic operators perform the operations of addition, subtraction, multiplication, division, exponentiation, and modulus.So, using the above-given information about Angela, the problem that can be formed is:
How many miles did Angela run this week?To solve the problem, we will make a mathematical expression and then solve by mathematical operations as follows:
6 + 5 + 8 + 7 = Total distance26 miles = Total distanceTherefore, the problem formed can be:
How many miles did Angela run this week?Which will be solved by doing mathematical operations.And the answer to the formed problem will be 26 miles.
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brainly to whoever answers first!!
MODELING REAL LIFE You make a total of
11 one-point free throws, two-point shots, and
three-point shots in a basketball game and score a
total of 22 points. You make two more two-point
shots than three-point shots. How many of each
type of shot do you make?
My truck loses 3 gallons of gas for every mile. What integer represents the change in gas after 7 miles
Answer:
21
Step-by-step explanation:
If it loses 3 gallons every mile, then multiply it by 7.
3*7 = 21
Another way to solve this is by using linear equations
y=3x
replace x with 7 and y would be equal to 21
Make x the subject of m = n+x/p
When x is made the subject of m= n+ x/p,
x = mp - n
How is x made the subject of m = n +x/p ?
[tex]m = \frac{n+x}{p} \\\\mp = n+x\\\\mp -n = x\\\\x = mp-n[/tex]
How is x being made the subject?
To make x the subject of the formula or equation, the formula or equation must be rearranged so that we have a single x variable that is equivalent to the other variables in the formula.After rearranging the equation, each term containing x should be put on the same side of the equation.Just one x needs to be displayed at the conclusion to make it the subject.If x occurs in several terms, factorization might be necessary.The result of square rooting a number or variable as an inverse operation may be positive or negative.To learn more about making x the subject, refer:
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2.5 m³ of marble has a mass of 6775 kg.
3
a) Calculate the density of marble in kg/m³.
b) Find the mass of 1.9 m³ of marble in kg.
Answers:
a) 2710 kg/m³
b) 5149 kg
====================================================
Work shown for part a)
density = mass/volume
density = (6775 kg)/(2.5 m³)
density = (6775/2.5) kg/m³
density = 2710 kg/m³
-----------------------------------
Work shown for part b)
density = mass/volume
mass = density * volume
mass = (2710 kg/m³) * (1.9 m³)
mass = (2710*1.9) kg
mass = 5149 kg
olve for? (Part 1)
Cool Down: A Rectangular Relationship
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the
width, and the perimeter of the rectangle can be described with the
equation 2 length + 2 width = 48.
Find the length, in centimeters, if the width is:
1. 10 centimeters
2.3.6 centimeters
3. w centimeters
Question 1
[tex]2l+2w=48 \\ \\ 2l+20=48 \\ \\ 2l=28 \\ \\ l=14\text{ cm}[/tex]
Question 2
[tex]2l+7.2=48 \\ \\ 2l=40.8 \\ \\ l=20.4 \text{ cm}[/tex]
Question 3
[tex]2l+2w=48 \\ \\ l+w=24 \\ \\ w=24-l[/tex]
How do you write 3.5 as a percentage? Write your answer using a percent sign (%).
Answer:
350%
Step-by-step explanation:
1) To convert a decimal to a percentage multiply the given decimal by 100. So,
3.5 x 100 = 350
2) 350% is the final answer
If a company's current sales revenue is $1,386,000 and its marketing objective is to increase sales by 10 percent during the next year, what is the dollar sales goal or the following year?
Answer: ales revenue = 1,386,000 dollars Increase sales in percent = 10 percent Increase sales in dollars = 1,386,000 dollars * 0,1 = 138,600 dollars New sales goal in dollars = 1,386,000 dollars + 138,600 dollars = 1,524,600 dollars
New sales goal is 1,524,600 dollars.
Step-by-step explanation:
find the value of g(ƒ(1))
f(x) = −2x +4
g(x) = 3x² - 7x +9
Answer:
f=4
Step-by-step explanation:
I think it's right but not 100% sure
|x-1| +5 = 2
please gimme an answer
The Graph of the Equation |x-1| +5 = 2 is attached below
This is further explained below.
What is an Equation?Generally, An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value.
This is the most basic version of the definition of an equation in algebra. For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."
In conclusion, Please find attached the graph representing the equation "x-1 + 5 = 2."
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Can someone please help me with A & B ASAP.
A: To make it more pumpkin-y, Pumpkin Puree or Pumpkin Spice. To make it less pumpkin-y, Banana, milk, or yogurt.
Ava is hiking a section of the Citrus Hiking Trail in Withlacoochee State Forest.
Ava packs trajl mix and grapes for snacks. The trail mix provides 5 calories per
ounce and the grapes provide 60 calories. The function C(x) = 5x + 60 where x is
the number of ounces of trail mix Ava eats and C is the total number of calories
she consumes. Ava does not want to consume more than 115 calories. 1. Write the range of the function c(x)= 5x+ 60 using inequalities
2. Determine the x intercept
3. Determine the y intercept
Answer:
Step-by-step explanation:
Suppose you started a savings account when you were 5 years old with $100, but you never
added any more money to it. How much money is in your savings account now if you were
getting 3% interest compounded quarterly?
Round your amount in your account to the nearest cent.
Answer: no idea
Step-by-step explanation:
Neil puts 1500 pounds in the bank,at a rate of 3% compound interest.
Jerry puts 1500 pounds in the bank at a rate of r % simple interest.
After 5 years they have the same amount.
Find r
When Jerry puts 1500 pounds in the bank for 5 years then the rate of interest which makes the amount equal for Jerry and Neil is 1.85%.
Given Neil puts 1550 pounds in the bank, at a rate of 3% compound interest.
we need to calculate the total amount and interest at the end of 5 years.
P=1500 pounds
r = 3%
n = 5 years.
A = P(1+r/100)ⁿ
A = 1500(1+3/100)⁵
A = 1500(103/100)⁵
A = 1500 × 103/100 × 103/100 × 103/100
A = 3278181/2000
A = 1639.09
C.I = A-P
= 1639.09 - 1500
= 139.09
From the question, After 5 years they have the same amount.
Therefore we use the amount to calculate rate of interest as :
A = 1639.09
Simple interest = 1639.09 - 1500
= 139.09
Therefore, P = 1500
I = 139.09
t = 5 yrs
R = (100×I)/(P×t)
R = (100×139.09)/(1500×5)
R = 1.85%
Hence the rate of interest is 1.85%.
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a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, what is the probability it’s a two-headed coin?
a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, 1/65 is the probability it’s a two-headed coin
Definition of probability
(1) : the chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
We know that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.
We calculate the number of possible combinations:
C₁⁶⁵= 65!/1!(65-1)!
= 65
Number of favorable combinations is 1.
Therefore, the probability is
P=1/65.
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Decrease £47 by 24%
Give your answer in pounds (£).
The most appropriate choice of percentage will be given by-
£47 after 24% decrease becomes £35.72
What is Percentage?
Percentage is a ratio expressed as a percentage of 100.
Here,
Original Price = £47
Percentage decrease = 24 %
Decrease in Price = £([tex]\frac{24}{100} \times 47\\[/tex])
= £11.28
New Price = £(47 - 11.28)
= £35.72
So, £47 after 24% decrease becomes £35.72
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