The width of a rectangle is 3 less than twice its length. if the area of the rectangle is 193 cm 2 cm2, what is the length of the diagonal
Kim, Laura and Molly share £385
The ratio of the amount of money Kim gets to the amount of money Mollley gets is 2:5
Kim gets £105 less than Molly gets
What percentage of the £385 does Laura get ?
With working out
Decide which of the two points lies on the graph of the line
3x+y=10
A.3,1
B. 1,3
The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b?
b = –16
b = –8
b = 8
b = 16
Answer:
Option B is correct.
value of b = -8
Step-by-step explanation:
Given the equation: [tex]x^2+bx+16= 0[/tex]
As per the condition: The only solution for the given equation is, x = 4.
Substitute this value of x =4 in given equation, to solve for b;
[tex](4)^2+b(4)+16= 0[/tex]
Simplify:
[tex]16+4b+16= 0[/tex]
or
[tex]32 + 4b= 0[/tex]
Subtract 32 on both sides, we get;
32 + 4b -32 = 0-32
Simplify:
4b = -32
Divide both sides by 4 we get;
b = -8
therefore, the value of b = -8
Find the constant of variation k for the direct variation. 3x+5y=0
Answer:
The constant of variation is
-3/5
your welcome XD
For the given functions f and g, find the requested composite function value. (15 pts!!!)
f(x) = √x+3, g(x) = 5x; Find (f ×g)(3).
a. 3√2
b. 5√30
c. √30
d. 5√6
Which value of a would make the following expression completely factored?
x2 – a
a 12
b 36
c 49
d 81
Answer:
The correct answer is twelve.
Step-by-step explanation:
The values of a would make the expression 36, 49 and 81.
The correct options are b, c, and d.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
To factor the expression x² - a completely, we need to write it as a product of two binomials.
This can be done using the difference of squares formula, which states that a² - b² = (a + b)(a - b).
If we apply this formula to x² - a, we get:
x² - a = (x + sqrt(a))(x - sqrt(a))
This is a factorization of x² - a into two binomials, where the constant term a is represented by the square root of a.
For the expression x² - a to be completely factored, both factors must be irreducible (meaning they cannot be factored any further). This requires that a be a perfect square.
Out of the given options, 36, 49, and 81 are perfect squares.
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Bob bought a bike for $250 and repaired it . He can now sell the bike for $300. What is the percent increase in the value bike ?
Answer:20%
Step-by-step explanation:
250*20%=50
50+250=300
Answer:
20%
Step-by-step explanation:
The table shows the outputs, y, for different inputs, x:
Input (x) 2 5 9 12
Output (y) 20 15 12 8
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 5x + 14. Which relation has a greater value when x = 9? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 64? (5 points)
Tony bowled 135 and 145 in his first two games. write and solve a compound inequality to find the possible values for a third game that would give him an average between 120 and 130, inclusive.
a.) 120 <= 135 +145+n/3 <=145; 120 <= n <= 140
b.) 135 <= 120 + 140 + n/3 <= 145; 80 <= n <= 85
c.) 120 < 135 + 145 + n/3 < 130; 80 < n < 110
d.) 120 <= 135 + 145 + n/3 <= 130; 80 <= n <= 110
At a local store, hot dogs come in packages of 8, and hot dog buns come in packages of 12. For her party, Arpitha purchased the minimum number of hot dog packages and bun packages that she could while making sure to have the same number of hot dogs and buns. How many hot dogs can Arpitha serve at her party?
They both have 24 in common, She bought 3 packs of hotdogs and two packs of hotdog buns.
We have given that,
At a local store, hot dogs come in packages of 8, and hot dog buns come in packages of 12.
Let's first analyze the word problem we have here.
It is stating that she, Arpitha, bought the minimum packs of hotdogs and minimum packs of buns to get an equal number of buns to hotdogs.
We can find the multiples they have in common.
8, 16, 24, 32, 40
12, 24, 36, 48, 60
They both have 24 in common, She bought 3 packs of hotdogs and two packs of hotdog buns.
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Solve for b 2(b-2)=2b+9
PLEASE ANSWER THIS
Classify each expression as a polynomial or not. If the expression is a polynomial, name it according to its degree and its number of terms.
f(x)=x^2sqrt3+x-5
I already know it is a polynomial because the highest variable is 2. Please help me with the rest. The question itself confuses me
What is (5,9) reflectes across the Y and X axis
The reflection of points across Y and X axis will be equal to (-5, 9), (5, -9).
What is reflection of points?A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image.
A line, called the line of reflection, will allow an image to reflect through it. Every element inside a figure is thought to reflect another figure when they are all equally spaced apart from one another.
As per the mentioned data in the question,
The given point is (5, 9).
Under the reflection in the y-axis, points are converted as,
(x, y) ⇒ (-x, y)
So,
(5, 9) ⇒ (-5, 9)
Under the reflection in the x-axis, points are converted as,
(x, y) ⇒ (x, -y)
So,
(5, 9) ⇒ (5, -9)
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Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus a 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earning a base salary of 85$ per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?
A life insurance policy costs $11.61 for every $1,000 of insurance. At this rate, what is the cost of $75,000 of insurance?
PLEASE HELP ME!!!!!! 20pts
Given: Circle P with a point O outside of the circle. How many tangent lines can be drawn from point O to the Circle P?
0
1
2
Infinite
The best way to determine how many tangent lines can be created is to actually draw the circle and point itself. Given circle and a point outside, extend lines going from the point to the circle where the line is tangent to the circle. From this, we can get only 2 tangent lines, nothing more. (See attached)
Answer:
2
Answer:
I think its 2
Step-by-step explanation:
someone please help me! thank you so much
The Earth's circumference measured at the equator is approximately 1.3148 × 108 feet. What is the number written in standard form?
Answer:
The number written in standard form is [tex]131,480,000[/tex]
Step-by-step explanation:
we have
[tex]1.3148*10^8[/tex]
we know that
[tex]10^8=100,000,000[/tex]
substitute
[tex]1.3148*10^8=1.3148(100,000,000)[/tex]
Remember that
When multiplying decimals by 10, move the decimal point one space to the right
In this case move the decimal point eight spaces to the right
[tex]1.3148(100,000,000)=131,480,000[/tex]
therefore
The number written in standard form is [tex]131,480,000[/tex]
*PLEASE HELP, BRAINLIEST* A salesman must commute 1 hour and 48 minutes from his house to the airport, fly to another city and take a bus to his destination. What is the total travel time one way?
The total travel time one way is 288 minutes.
Explanation:To find the total travel time one way, we need to add up the time spent on each part of the journey. The salesman spends 1 hour and 48 minutes commuting from his house to the airport. Let's convert this to minutes, which gives us 60 + 48 = 108 minutes.
Next, we add the flight time. The question doesn't specify the duration of the flight, so we can't determine that. We'll assume it takes 2 hours, which is 120 minutes. Finally, we add the time spent on the bus. Again, the question doesn't provide this information, so let's assume it takes 1 hour (60 minutes) by bus.
Adding up the commute time, flight time, and bus time, we get 108 + 120 + 60 = 288 minutes. Therefore, the total travel time one way is 288 minutes.
If $2500 is invested at an interest rate of 4.5% per year, compounded daily, find the value of the investment after the given number of years. (round your answers to the nearest cent.)
$2500 is invested at an interest rate of 4.5% per year, compounded daily for 2 years will amount to $5225.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
Given, $2500 is invested at an interest rate of 4.5% per year, compounded daily, and assuming it is for 2 years.
∴ The amount compounded daily will be,
A = P(1 + (r/365)/100)ⁿˣ³⁶⁵ as compounded daily.
A = 2500(1 + (4.5/365)/100)²ˣ³⁶⁵.
A = 2500( 1 + 0.00101)⁷³⁰.
A = 2500(1.00101)⁷³⁰.
A = 2500×2.09 dollars.
A = 5225 dollars.
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To calculate the future value of an investment of $2500 at a 4.5% interest rate compounded daily for 5 years, we use the compound interest formula. Assuming 5 years of growth, the future value would be approximately $3117.14.
Explanation:If $2500 is invested at an interest rate of 4.5% per year, compounded daily, we need to find the value of the investment after a certain number of years. The formula to calculate the future value of an investment with daily compounding is given by:
FV = P × (1 + r/n)^(n×t)
where:
FV is the future value of the investment,P is the principal amount ($2500),r is the annual interest rate (4.5% or 0.045),n is the number of times the interest is compounded per year (365 for daily),t is the time the money is invested for, in years.To calculate the future value, we plug in the values into the formula. However, the number of years, t, has not been specified, so we'll need that to give a final answer. For our purposes, let's assume the student asks for the value after 5 years. Using the formula:
FV = $2500 × (1 + 0.045/365)^(365×t)
FV = $2500 × (1 + 0.00012328767)^(1825)
FV = $2500 × 1.246856823
FV = $3117.14 (rounded to the nearest cent)
After 5 years, the investment would be worth approximately $3117.14.
Wall posters are usually sold curled up in cylindrical cardboard tubes. if the length of the tube is 84.5 cm, and the diameter of the tube is 2.40 cm, what is the area of the poster, in cm2? (assume the poster doesn't overlap itself.)
a. 637 cm2
b. 203 cm2
c. 382 cm2
d. 1529 cm2
e. 605 cm2
Solve for N.
-n/5 = -5
N = -25
N = -1
N = 25
Ronnie cuts 3/4 inch sections of wood to make a birdhouse roof. he cut 12 sections. how many inches did he cut
Ronnie cut a total of 9 inches of wood. This is determined by multiplying the number of sections he cut (12) by the length of each section (3/4 inch).
Explanation:Ronnie cut 12 sections of wood, each measuring 3/4 inch to make his birdhouse's roof. In order to find out the total length of wood he used, we need to multiply the number of sections he cut by the length of each section. This is a basic multiplication problem in fractions.
So, 12 (sections) x 3/4 (inches/section) = 9 inches.
This means Ronnie cut a total of 9 inches of wood to make the birdhouse roof.
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What is the length of BC
What is the value of x?
all angle = 60 degrees
so 2x-4 =60
2x=64
x = 64/2 = 32
x = 32
A rectangle has perimeter 84 cm and length 35 cm. What is its width?
Answer: The required width of the rectangle is 7 cm.
Step-by-step explanation: Given that a rectangle has perimeter 84 cm and length 35 cm.
We are to find the width of the rectangle.
Let w represents the width of the rectangle.
According to the given information,
length, l = 35 cm and perimeter, P = 84 cm.
Therefore, we get
[tex]P=2(l+b)\\\\\Rightarrow 84=2(35+w)\\\\\Rightarrow 42=35+w\\\\\Rightarrow w=42-35\\\\\Rightarrow w=7.[/tex]
Thus, the required width of the rectangle is 7 cm.
What is 63108 divided by 72
Consider the following system of equations.
Which statement describes why the system has two solutions?
A. Each graph has one y-intercept, which is a solution.
B. Each graph has one vertex, which is a solution.
C. The graphs of the equations intersect the x-axis at two places.
D. The graphs of the equations intersect each other at two places.
Answer:
D. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines equivalent.
Step-by-step explanation:
If you look at the graph (Firstly), you can see that both lines look similar, which is one big hint to this question. But (secondly), like the other person said, both have equivalent y-intercepts in each problem. I saw an open spot for me to answer this so I took it UuU!
Also Just Realized This Is A Totally Diff Question On My Quiz, So The Question That Goes With This Answer Is "Consider the equations and graph below.
y = negative 3 (x minus 1). Y = negative 3 x minus 1
On a coordinate plane, 2 lines are parallel to each other.
Which explains why this system has no solution?"
How to write an equation of a line in slope intercept form with two points?