Answer:
6x + 15.
Step-by-step explanation:
3(3x + 5)
= 3 * 2x + 3*5
= 6x + 15.
Hey There!! ~
The answer to this is: Apply the distributive property.
\(3 (2x) + 3 . 5\)
Multiply. 2 by 3 \(6x + 3 . 5\) Multiply
Multiply 3 by 5.
\(6 x + 15\) Thus, for the answer is: 6x + 15.
Hope It Helped!~
\(ItsNobody\)~
Is the fraction for 7/54 a rational number or irrational number?
Carys is checking her tax bill for the last year
Answer:
i dont under stand the question
Step-by-step explanation:
a car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time it takes the truck to travel the same distance. what is the speed of the car? how about the truck?
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.
Define speed.You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).
Given,
A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.
Let s represent the truck's speed and (s+20) represent the car's speed.
to determine each vehicle's time
Time = Speed / Distance
truck time = 350/s
Time in an automobile is 350/(s+20)
Truck time - car time = 2 hours
So,
(350/s) - [350/(s+20)] = 2
LCM is s(s+20)
[350(s+20) - 350s]/s(s+20) = 2
Cross multiplying,
350(s+20) - 350s = 2s(s+20)
Simplifying the equation,
350s + 7000 - 350s = 2s² + 40s
Now, we have quadratic equation to simplify,
2s² + 40s - 7000 = 0
Dividing the equation by 2
s² + 20s - 3500 = 0
Factorizing,
s= 50
s= -70 (impossible because of the sign)
Hence the truck's speed is s = 50 km/h.
The speed of the car is s + 20 = 70 km/h.
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4.
A turtle crawls 567 mm in 27 minutes. How far (measured in cm) can the turtle
crawl in a minute?
Answer: 2.1 cm per minute
Step-by-step explanation:
567/27 =21 mm
convert mm to cm (1mm = 0.1c,)
21mm = 2.1cm
Answer:
2.1 cm or 21 mm
Step-by-step explanation:
567 ÷ 27 = 21
Therefore the turtle can crawl 21 mm in a minute.
To covert mm to cm, we simply divide by 10.
21 ÷ 10 = 2.1
What is the approximate diameter of a sphere with a surface area of 95π inches
The approximate diameter of the sphere with a surface area of 95π inches is approximately 9.74 inches.
The surface area of a sphere is given by the formula:
A = 4πr²
where A is the surface area and r is the radius of the sphere. We can solve this equation for r to get:
r = √(A / 4π)
Substituting A = 95π, we get:
r = √(95π / 4π)
= √(95/4)
≈ 4.87
Therefore, the radius of the sphere is approximately 4.87 inches. The diameter of the sphere is twice the radius, so the approximate diameter of the sphere is:
d ≈ 2r ≈ 2(4.87) ≈ 9.74
Therefore, the approximate diameter of the sphere is approximately 9.74 inches.
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O is the midpoint of DG. DO=6x-7 and OG=5x+1. Find x
Answer:x=8
Step-by-step explanation:I hope i have helped u have an wonderful day or night!
\(6x-7=5x+1\\\\-7=-1x+1\\-8=-1x( divide by -1)\\x=8\)
c) R= {(x,y): Y is the area of triangle x 3 determine if the relation is function or not
You have given a relation R = {(x,y): y is the area of triangle x 3}. This means that for each value of x, which represents the base of a triangle, y is the area of that triangle with height 3.
What is the function?To find out if this relation is a function, we need to check if there are any repeated x-values with different y-values. If there are none, then it is a function.
One way to do this is to use the formula for the area of a triangle: A = (1/2)bh, where b is the base and h is the height. Using this formula, we can find the y-values for some x-values:
\(x | y| - 0 | 0 1 | (1/2) * 1 * 3 = 3/2 2 | (1/2) * 2 * 3 = 3 3 | (1/2) * 3 * 3 = 9/2 4 | (1/2) * 4 * 3 = 6\)
Therefore, As you can see, there are no repeated x-values with different y-values, this relation R is a function.
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Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
BD = 63
Step-by-step explanation:
\( \frac{2}{12} = \frac{9}{CD} \\ \\ CD= \frac{12 \times 9}{2} \\ \\ CD = 6 \times 9 \\ \\ CD = 54 \\ \\ \)
BD = BC + CD = 9 + 54
BD = 63
Function notation
Each month you get your water bill in the mail. You know that each month you are charged a service fee of $22 and a fixed rate, m, per gallon of water used. This month, you used a total of 2,256 gallons of water and were charged $31.02.
Answer:
Step-by-step explanation:
All the parts of the question are answered below.
What is Equation Modelling?Equation modelling is the process of creating a mathematical equation from a mathematical world problem in order to mathematically analyze the situation discussed verbally.
Given is the monthly water bill that charge a service fee of $22 and a fixed rate of $m / gallon of water used. A total of 2,256 gallons of water was used and the total charge is $31.02.
PART A
The function that relates the number of gallons [x] of water consumed in a month to the total cost of bill c[x] is -
c[x] = mx + 22
PART B
Yes, the vertical intercept is 22. It shows that if 0 gallons of water is consumed, a service fee of $22 will still be charged.
PART C
The constant rate of change of function is represented by 'm' and it represents the rate per gallon of water.
PART D
For 3240 gallons of water used, the bill is $34.96. Substituting the values-
34.96 = m x 3240 + 22
12.96 = 3240m
m = 12.96/3240
m = 0.004
Rate per gallon of water is $0.004.
Therefore, all parts of the question have been answered.
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What is the value of the expression (2^4)^-2
Answer:
4
Step-by-step explanation:
(2^4)^-2 is the same as saying 2^2 which is 4
when you have an exponent to a power you can add them together and 4+-2=2
State the equation of the graphed function.
The equation of the graphed function is given as follows:
f(x) = x³ + 2x² - 5x - 6.
How to obtain the equation of the function?
The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
From the graph, the zeros of the function are:
x = -3.x = -1.x = 2.Hence the function is:
f(x) = a(x + 3)(x + 1)(x - 2).
In which a is the leading coefficient.
Expanding the product, we have that:
f(x) = a(x² + 4x + 3)(x - 2)
f(x) = a(x³ + 2x² - 5x - 6).
When x = 0, y = -6, hence the leading coefficient a is obtained as follows:
-6a = -6
a = 1.
Hence the function is:
f(x) = x³ + 2x² - 5x - 6.
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A circle is centered on point B. Points A,C and D lie on its circumference. If ∠ABC measures 35 degrees what does ∠ADC measure
Answer: \(325^{\circ}\)
Step-by-step explanation:
Given
\(\angle ABC=35^{\circ}\)
A, C, and D lie on the circumference of the circle
from figure,
\(\angle ABC+x=360^{\circ}\quad [\text{angle around a point is 360}]\\\Rightarrow 35^{\circ}+x=360^{\circ}\\\Rightarrow x=325^{\circ}\)
Does anyone know the written equation to this please?
9514 1404 393
Answer:
y = -3/2x +4
Step-by-step explanation:
The line crosses the y-axis at y = 4. The coordinates of that point are (0, 4). This is the "start."
The line crosses a grid intersection again 2 units to the right and 3 units down at the point (2, 1).
The slope is the ratio of the vertical change to the horizontal change:
m = -3/2
Now, you have the information required to fill in the equation:
y = -3/2x +4
Figure ABCD is a rhombus. Find the value of x. 4x+2 3x+5
Answer:
4x+2
\( - \frac{84}{5} \)
3x+5
\( - \frac{91}{10} \)
Step-by-step explanation:
i hope its correct
Answer:
3
This is the correct answer
Please help, I needed help with this all day T-T, thank you.
Since P(x) = R(x) - C(x), then:
\(P(x)=(2x^4-3x^3+2x-1)-(x^4-x^2+2x+3)\)Then, simplify the expression above.
First, distribute the negative sign to the terms inside the second parenthesis.
\(P(x)=2x^4-3x^3+2x-1-x^4+x^2-2x-3\)Then, arrange the terms according to their degree.
\(P(x)=2x^4-x^4-3x^3+x^2+2x-2x-1-3\)Then, combine similar terms.
\(P(x)=x^4-3x^3+x^2-4\)Therefore, the value P(x) is x⁴ - 3x³ + x² - 4.
Giving brainliest its 5th grade math
Answer:
whats the question and ill answer in the comments
Step-by-step explanation:
if your asking for which time has the equal amount of attendee it between 7pm and 9pm if i am correct
∛512 has the same value as which of the following?
Answer:
Today: Monday, 12 October 2020
Hour: 07.17 WIB (in Indonesia)
_________________________
∛512
= ∛8³
= 8^3 × 1/3
= 8¹
= 8
remember this!
∛x = x^⅓
What is the slope intercept form of (-6,-5) and (-9, -7)
Answer:
Step-by-step explanation:
m(slope) = change in y/ change in x
-7-5/-9-6 = -12/-15 or -4/-5 = 4/5
y=mx+b
take the second ordered pair
-7 = 4/5(9) +b
-7 = 36/5 + b
b = 7.2+7
b = 14.2
slope intercept form = (4/5)x +14.2
i don't think I'm right but this is what I remember doing
HELP ASAP
I have no clue what the answer is
Answer:
it should look a little like this...
Ah, he should get home at around 6:30 -7
how to solve (3^0x8^2)^-2
PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.
The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Step 1: Simplify the exponent expressions within the parentheses:
(3^0 * 8^2) = (1 * 64) = 64
Step 2: Rewrite the expression with the simplified value:
(64)^-2
Step 3: Apply the exponent rule for a negative exponent:
(64)^-2 = 1 / (64)^2
Step 4: Evaluate the expression within the parentheses:
(64)^2 = 64 * 64 = 4096
Step 5: Rewrite the expression with the simplified value:
1 / 4096
Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.
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Answer the questions about the following polynomial. 1+ The expression represents a term is M 2x² , the leading term is polynomial with te terms. The constant and the leading coefficient is Answer the questions about the following polynomial. 1+x5 - 2x² The expression represents a term is the leading, Submit Answer linear cubic quadratic quintic quartic polynomial with terms. The cor and the leading coefficient is attempt 1 out of 2/ problem 1 out o
The given polynomial is 1 + x^5 - 2x^2. It is a quintic polynomial, which means it has a degree of 5. The leading term in this polynomial is x^5, and the leading coefficient is 1, indicating that the coefficient of the term with the highest degree is 1.
A polynomial is an expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication. The degree of a polynomial is determined by the highest exponent of the variable. In this case, the highest exponent is 5, so the polynomial is of degree 5 and is referred to as a quintic polynomial.
The term with the highest degree is called the leading term, and in this polynomial, it is x^5. The leading coefficient is the coefficient of the leading term, and in this case, it is 1. The leading coefficient indicates the scale or magnitude of the polynomial. In other words, it tells us how the polynomial behaves as the variable grows larger or smaller.
In this polynomial, the constant term is 1, which means there is no variable present in that term. The coefficient of the constant term is also 1, as there is no variable to be multiplied by. Therefore, the constant and leading coefficient of the given polynomial are both 1.
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a simple random sample of 500 individuals provides 150 yes responses. a. what is the point estimate of the proportion of the population that would provide yes responses (to 2 decimals)?
The point estimate of the proportion of the population that would provide yes responses can be calculated by dividing the number of yes responses in the random sample by the size of the sample.
Therefore, the point estimate is 150/500 = 0.30 or 30% (to 2 decimals). It's important to note that this estimate is based on a random sample and may differ from the actual proportion of the population.
Step 1: Identify the number of yes responses (150) and the total number of individuals in the sample (500).
Step 2: Calculate the proportion by dividing the number of yes responses by the total number of individuals in the sample. In this case, it would be 150 divided by 500.
Step 3: Convert the proportion to a decimal by performing the division. This will give you 0.3.
Step 4: Round the decimal to 2 decimal places, as requested. In this case, 0.3 is already rounded to two decimal places.
So, the point estimate of the proportion of the population that would provide yes responses is 0.30 (to 2 decimals), based on the random sample provided.
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-4z greater than equal to -64.4 solve for z
Answer:
\(z\leq 16.1\)
Step-by-step explanation:
-4z>=-64.4
/-4. /-4
z>=16.1
And when we switch the signs we switch which was the alligator points
z<=16.1
Hopes this helps please mark brainliest
Answer:
z ≤ 16.1
Step-by-step explanation:
Given inequation,
→ -4z ≥ -64.4
Now the value of z will be,
→ -4z ≥ -64.4
→ z ≤ -64.4/-4
→ z ≤ 64.4/4
→ [ z ≤ 16.1 ]
Hence, the value of z is 16.1.
Trisha wants to buy a computer for $775. She already has $275 saved and earns $100 a week babysitting. Write an inequality that could be used to determine how many weeks she would have to work to afford the computer. Use w to represent the number of weeks.
Answer:
she would be able to Oxford its if she worked for 5 weeks
Solve the equation: 2x + 6 = 7x - 14
Answer:
x = 4
Step-by-step explanation:
2x + 6 = 7x - 14
-7x -7x
-5x + 6 = -14
- 6 - 6
-5x = -20
/-5 /-5
x = 4
Check your answer:
2x + 6 = 7x - 14
2(4) + 6 = 7(4) - 14
8 + 6 = 28 - 14
14 = 14
This statement is true
Hope this helps!
Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4
An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,
1. Taking +5 on the right-hand side of the equation,
\(x^2+6x+5 = 0\\\\x^2+6x = -5\)
2. Now if we add +9 on both sides of the equation, we will get,
\(x^2+6x = -5\\\\x^2+6x+9 = -5+9\)
3. Now we look at the left side of the equation as the square of the binomial expression (x+3).
\(x^2+6x+9 = -5+9\\\\(x+3)^2 =4\)
4. Taking +4 from the right side of the equation to the left side of the equation,
\((x+3)^2 =4\\\\(x+3)^2 -4=0\)
Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.
Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
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PLEASE I NEED SOME HELP WITH THIS , CORRECT ANSWER WILL GET BRANILEST AND 5 STARS !
Which has the greater area-the shaded region or the striped region? Note: the radius of the target is 5
inches and each ring is 1 inch apart.
LOOK AT THE IMAGE TO ANSWER THE QUESTION :)
According to the information we can infer that the greater area is the striped region.
Which has the greater area - the shaded region or the striped region?To calculate what is the greater area we have to calculate the area of each segment of the target. Fist we can calculate the area of the striped region.
\(\pi * 3^{2} = 29.6088\)Then we have to calculate the area of the shaded region with the following procedure:
\(\pi *4^{2} = 50.2654\\\pi * 5^{2} = 78.5398\\\\\)78.5398 - 50.2654 = 28.2777According to the above, the striped area has the greater area.
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value of RT if SRT is equal to SYZ
The value of side RT = 32.
In the given triangle;
ΔSRT and SYT are similar.
RT = 3X - 7
YZ = 2X + 2
ST = SZ + 5 = 40
⇒ SZ = 35
Now by concept of similarity
RT/YZ = ST/SZ
Plug the values
⇒ (3x-7)/(2x+2) = 40/35
⇒ (3x-7)/(2x+2) = 8/7
⇒ 7(3x-7) = 8(2x+2)
⇒ 21x-49 = 16x+16
⇒ 5x = 65
⇒ x = 13
Hence,
RT = 3x -7 = 3x13 - 7
⇒ RT = 32
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Explain about Huckel Approximation ( the introduction to the method including secular equation and determinant, theory that could be used to evaluate or assumptions, characteristic such as all overlap integrals are set equal to zero etc , the matrix formulation of the huckel method and mustification of the formula).
URGENT
A box without a top is to be made from a rectangular piece of a cardboard with the given dimensions by cutting out square corners with a side length of x. The dimensions of the cardboard are 6m x 12m. What expression represents the volume, V, of the box in terms of x?
Answer:
x45
Step-by-step explanation: