Answer:
Step-by-step explanation:
Nice question!!! It should be ####. and that's the answer that you want
Twice a number t decreased by eight equals seventy.
6x+26x-10=8(4x+10) write a word problem that this equation,or any of its equivalent forms,represents.
6x+26x-10=8(4x+10) quadratic equation has no solution.
First, Simplify the equation:
6x + 26x + (-10) = 8(4x + 10)
Now, reorder the terms:
(-10) + 6x + 26x = 8(4x + 10)
Combine the like terms:
6x + 26x = 32x
-10 + 32x = 8(4x + 10)
Then, reorder the terms:
-10 + 32x = 8(10 + 4x)
-10 + 32x = (10 × 8 + 4x × 8)
-10 + 32x = (80 + 32x)
Add '-32x' to each side of the equation.
-10 + 32x + -32x = 80 + 32x + -32x
Again, Combine like terms:
32x + -32x = 0
-10 + 0 = 80 + 32x + -32x
-10 = 80 + 32x + -32x
Repetitively, Combine like terms:
32x + -32x = 0
-10 = 80 + 0
-10 = 80
After Solving,
-10 = 80
Thus, there is no further variable to solve.
∴ This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm.
Main Answer:
Explanation:
Given that,
[tex]\frac{dA}{dt}[/tex] = -4
The surface area of the snow ball = 4π[tex]r^{2}[/tex]
Let the surface area = A
If A denotes the surface area and D the diameter then,
A = 4π[tex]r^{2}[/tex] = 4π[tex](\frac{D}{2} )^{2}[/tex]
⇒ A = π[tex]D^{2}[/tex]
Differentiate with respect to r,
[tex]\frac{dA}{dD}[/tex] = 2πD
By using chain rule,
[tex]\frac{dA}{dD}[/tex] = [tex](\frac{dA}{dt})[/tex][tex](\frac{dt}{dD})[/tex] = [tex]\frac{\frac{dA}{dt}}{\frac{dD}{dt}}[/tex]
⇒ 2πD = [tex]-\frac{4}{\frac{dD}{dt}}[/tex]
∴ [tex]\frac{dD}{dt}[/tex] = [tex]-\frac{4}{2\pi\\D}[/tex]
when D = 9,
[tex]\frac{dD}{dt}[/tex] = [tex]-\frac{4}{18\pi}[/tex]
∴ [tex]\frac{dD}{dt}[/tex] = [tex]-\frac{2}{9\pi}[/tex]
so, the diameter is decreasing at a rate of [tex]\frac{2}{9\pi}[/tex] .
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Two families went to a baseball game. The first family bought 5 pretzels and 4 sodas, which totaled $22. The second family bought 6 pretzels and 6 sodas, which totaled $30. How much did one soda cost?
$2
$3
$4
$5
Answer:
3
Step-by-step explanation:
Question:Two families went to a baseball game. The first family bought 5 pretzels and 4 sodas, which totaled $22. The second family bought 6 pretzels and 6 sodas, which totaled $30. How much did one soda cost?
first family bout 5 PRETZELS and 4 SODAS and the second family bought 6 PRETZELS and 6 SODAS
So immanently 5 is wrong because that would be too much and not fit the amount that the families spent
4 is also incorrect because the price is not reasonable it’s to high and out of budget for both of the families
3 is the only right answer also 2 is wrong (wrote this in rush)
Please hurry ill give brainlist
simplify. y/x √1/2y
Answer:
[tex]\frac{y^{2}}{2x}[/tex]
Step-by-step explanation:
a) simplify
[tex]\frac{y^{2} }{2x}[/tex]
Answer:
ez y² /2x
Step-by-step explanation:
The lengths of the sides of a rectangle are 60 cm and 91 cm. What is the length of a diagonal?
The length of a diagonal will be 109 cm.
What is Rectangle?
A rectangle is a quadrilateral that has parallel sides equal to each other and all the four angles are equal to 90 degrees.
Given that;
Length of a rectangle = 60 cm
Width of a rectangle = 91 cm
Now,
Since, We know that;
Diagonal of a rectangle (D) = √Length² + Width²
Substitute all the values we get;
Diagonal of a rectangle (D) = √Length² + Width²
= √60² + 91²
= √3600 + 8,281
= √11,881
= 109
So, Diagonal of a rectangle = 109 cm.
Thus, The length of a diagonal will be 109 cm.
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PLEASE HELP WITH THIS!
6. Ron pays 6 payments of $4 each to a game store. He returns one game and receives
$10 back. What is the change to the amount of money she has?
The change to the amount of money she has = $10
what is amount ?
Amount is defined as to add up to a total .the bill for four people at a restaurant that is 50 dollars is an example of the costs of four meals that amount to 50 dollars.
A amount is a number, or quantity of something
she made 6 payments of $4each = 6(4) =$ 20 spent
she got $ 10 back = 20-10 =$10
the change to the amount of money she has is -$10 because
she has $10 less than she started with
so the change to the amount of money she has $10
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LEAST TO GREATEST
PLS HELP
Answer:
A. {2.82, √8, √11, 3 1/2}
Step-by-step explanation:
A. {2.82, 2.83, 3.32, 3.5}
√8 = 2.82842712475 or 2.83 when rounded to the nearest hundredth.
√11 = 3.31662479036 or 3.32 when rounded to the nearest hundredth.
To find the square root you multiply a factor of a number by itself in order to get that number.
3 1/2, or 7/2 = 3.5
To convert a fraction into a decimal you divide the numerator by denominator.
B. {2.24, -2.45, 2.5, -3}
√5 = 2.2360679775 or 2.24 when rounded to the nearest hundredth.
-√6 = -2.44948974278 or -2.45 when rounded to the nearest hundredth.
2 1/2, or 5/2 = 2.5
C. {-4, -4.12, -4.24, -4.36}
-√16 = -4
-√17 = -4.12310562562 or -4.12 when rounded to the nearest hundredth.
-√18 = -4.24264068712 or -4.24 when rounded to the nearest hundredth.
-√19 = -4.35889894354 or -4.36 when rounded to the nearest hundredth.
D. {3.16, 4, 2, 1.5}
√10 = 3.16227766017 or 3.16 when rounded to the nearest hundredth
√4 = 2
Expand and simplify (x+3)(2x-1)(x+4)
The expansion and simplified form of the expression [(x+3)(2x-1)(x+4)] will be (2x³ + x² - 25x - 12).
As per the question statement, we are provided with the expression of [(x+3)(2x-1)(x+4)] where three separate factors of the variable "x" are multiplied with each other.
We are required to expand and simplify the above-mentioned expression to obtain our desired answer.
Given, [(x + 3)(2x - 1)(x + 4)]
= [{(x + 3)*(2x - 1)}(x + 4)]
= [{(x*2x) - (x*1) + (3*2x) - (3*1)}(x + 4)]
= [(2x² - x - 6x -3)(x + 4)]
= [(2x² - 7x -3)(x + 4)]
= [(2x²*x) + (2x²*4) - (7x*x) - (7x*4) - (3*x) - (3*4)]
= [2x³ + 8x² - 7x² - 28x - 3x - 12]
= [2x³ + (8x² - 7x²) - (28x + 3x) - 12]
= (2x³ + x² - 25x - 12)
Expression: Expressions are mathematical statements that have two or more terms containing numbers or variables, or both, connected by operators in between.To learn more about Expressions, click on the link below.
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Michelle was fishing in her canoe at point A in the lake depicted above. After trying
to fish there, she decided to paddle due east at a steady speed of 15 miles per hour,
As she paddled, a wind blowing due south at 7 miles per hour caused a change in
her direction. To the nearest tenth of a mile, what is the velocity, represented by
vector AC, of her canoe?
A. 8.0 miles per hour
C. 16.6 miles per hour
B16.34 miles per hour
D15.0 miles per hour
Answer:
Step-by-step explanation:
william and drebra Pierce are celebrating thier 20th anniversery by having a reciptionan a local reciption hall.They have budgeted $3,500 for their recipetion. If the reciption hall charges $70 cleanup plus $33 per person, Find the greatest number of people that they may invite and still stya within their budget
drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. The number of people are invited in the reception are 104.
Given that,
drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. $3,500 has been set aside for their reception. If the prison's recreation center charges $70 for cleanup and $33 per person.
We have to determine how many guests they can invite while staying inside their budget.
The total budget of the party = $3500
Reception hall charges for clean up =$70
Extra fee per person =$33
Let us assume that the number of people are invited in the reception are be x.
Given in the question the be the clean up charge and $33 be fee per person.
We know,
The equation become
⇒ 70 +33x = 3500
33x = 3500-70
33x = 3430
x = 3430/33
x=104
Therefore, The number of people are invited in the reception are 104.
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What is the conjecture? 1,1,2,3,5,8 _, _, _, _, _,
Answer:
13, 21, 34, 55, 89 are the next five numbers in the sequence.
Step-by-step explanation:
It's known as the Fibonacci sequence. Every term is the sum of the previous two. If you add the terms of the sequence then the result of each of the sums will form a sequence as well. For this sequence 1+1=2, 2+3=5, 5+3=8, 8+5=13, 13+8=21, 21+13=34, 34+21=55, 55+34=89 and so on.
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
Answer: A.)
Step-by-step explanation: if you start at 7 and take 8 away your left with a negative
A is correct purple line to 7 and red line to -1
Hope this helps
Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the mean of the sample means?.
The value of the z-score for the sample mean is estimated as 0.5.
What is meant by the term z-score?A Z-score is a statistical assessment that explains a value's relationship to a mean of a group of values. The Z-score is measured in aspects of standard deviations from a mean. A Z-score of zero indicates that the information point's score is the same as the mean score.As per the stated question;
The formula for calculating the z-score is;
z = (x - μ)/σ
x = sample size
μ = population mean
σ = standard deviation population.
The vales given in the question;
μ = 25σ = 20x = 35Substitute the value in the z-score.
z = (35 - 25)/20
z = 10/20
z = 0.5
Thus, the value of the z-score for the sample mean is estimated as 0.5.
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The correct question is-
Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the z-score for the of the sample means for the sample less than 35?.
is 1over2xsquared - 7y a polynomial? if it is a polynomial, state the degree of the polynomial
The expression 1/(2x²) - 7y is not a polynomial because it has a negative exponent
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
A polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and positive exponent powers of variables. If the expression has a negative exponent, it is not a polynomial.
Given:
1/(2x²) - 7y = 0.5x⁻² - 7y
1/(2x²) - 7y is not a polynomial
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I got 165 but it says it wrong ?
Rectangle RECT with length 10 units and width 6 units is drawn in the coordinate plane with vertex R at the origin and its length along the positive x-axis. Complete the following statement about the rectangle.
Moving counterclockwise around the rectangle, the labels and coordinates of the other vertices are; E'(6, 8), C'(10, 10), T'(0, 10)
How to interpret transformations?
I have drawn an image of the given triangle RECT and attached it.
The length is 10 units and width is 6 units.
From the image of the triangle, we see that the coordinates are;
R(0, 0), E(10, 0), C(10, 6), T(0, 6)
Now, we are told that moving counterclockwise around the rectangle, and after rotation, we will now have the transformations as;
R'(0, 0), E'(6, 8), C'(10, 10), T'(0, 10)
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If two times a number is decreased by 8, the result is 5 more than the number.
Choose the equation that could be used to find this number, x.
Answer:
Step-by-step explanation:
equation: 2x-8=5x
x=-8/3
Tyreke has $5000 to put into an account that earns compound interest. Which of the following is the BEST advice you can offer so that he can maximize interest?
The BEST advice you can offer so that he can maximize interest is : b Deposit your money as early as possible in an account with the highest interest rate possible.
What is compound interest?Compound interest can be defined as the interest a person earn on the money they saved in their account as well as the money earn on the interest the bank gives them which implies that a person tend to earn interest on the money saved and the interest giving on the money saved.
A person can tend to earn more interest when they deposit their money earlier into an account that pay more interest rate as this will enables them to accumulate more interest.
Therefore the correct option is b.
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The complete question is:
Tyreke has $5000 to put into an account that earns compound interest. Which of the following is the BEST advice you can offer so that he can maximize interest?
a. It's ok to open an account with a low interest rates as long as you deposit your money early
b. Deposit your money as early as possible in an account with the highest interest rate possible
c. Wait for interest rates to rise above 5%, otherwise compounding doesn't have any effect
d. Compound interest will not have any effect at such a low dollar amount. Find different opportunities to earn interest on your savings.
Janelle and Samantha are at an arcade. Janelle scored 83,452 points on a video game. Samantha scored 59,237 points on the same game. How many more points did Janelle score than Samantha?
Of the teacups in lexi’s tea shop, 1/6 are teal and another 2/3 are red. What fraction of the teacups are either real or red?
The fraction of the teacups that are either teal or red is 5/6.
What are fractions?A number that represents a portion of a whole is used to denote a fraction in mathematics. Any number, an amount, or an object can be a whole; a fraction is a portion or segment taken from that whole. The number is represented mathematically as a quotient, where the numerator and denominator are split. The p/q is the form used to represent fractions.Given:
Fraction of teal teacups = 1/6
Fraction of red teacups = 2/3
Fraction of the teacups are either teal or red = Fraction of teal teacups + Fraction of red teacups
= 1/6 + 2/3
= (1+4)/6
= 5/6
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Any blank on a line is a blank of the equation
Answer:
Yeah
Step-by-step explanation:
but i can also do it in opposite
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.
Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.
Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.
Answer quick please I appreciate it.
The order of the numbers from least to greatest will be 97%, 1.74, 2 4/5, and 18/5.
I rewrite the numbers in equivalent forms, this was illustrated in decimals to make it easier.
How to illustrate the information?From the information, the data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. This will be:
18/5 = 3.6
2 4/5 = 2.8
97% = 0.97
1.74
The arrangement will be 97%, 1.74, 2 4/5, and 18/5.
Therefore, it should be noted that rewriting then in decimal is important to effectively convey the information better.
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what is the 7th term of sequence -4,16,-64,256,-1,024
Answer:
a,b,coeiiggjfj
jrjjunr
X
b) Work out the value of (6.8 x 10²) × (1.3 × 10)
Give your answer in standard form.
Answer:
8840
Step-by-step explanation:
10^2=100;
(6.8*100)*(1.3*10)
680*13
8840
Answer:
8.84 × 10³
Step-by-step explanation:
(6.8 × 10²) (1.3 × 10)
(6.8 × 1.3) (10² × 10) = (8.84) (10³)
8.84 × 10³
(02.05 MC)
A group of seniors decide to spend their spring break away from home, attending at least one major event. The following table summarizes their
preferences.
Stay in state
214
Travel out of state 391
O 41.93%
What percent want to attend a festival, given that they want to stay in state?
031.72%
ous Question
Attend a concert Attend a festival
46.5%
75.92%
186
59
When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.
A percentage is what?
A percentage of 100 is represented as a number or ratio known as a percentage.
We've got
Take in a performance Attend a concert and a festival
Remain in state 214 and 186
Travel outside of state 391 and 59
The amount of groups planning to visit a state while attending a concert=214
The amount of groups planning to leave the state to attend a concert=391
The amount of groups planning to visit a state while attending a festival=186
The amount of groups planning to leave the state to attend a festival=59
The proportion of festival-goers that desire to travel outside of their state:
= Total number of groups from all four conditions/ Number of groups wishing to attend an event while remaining outside the state.
= 59 / ( 214 + 391 + 186 + 59 ) x 100
= 59 / 850 x 100
= 6.94%
Therefore, When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.
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What does it mean to cube the number 18?
It means to find the cube root of 18.
It means to raise the number 18 to the exponent 2.
It means to find the square root of 18.
It means to raise the number 18 to the exponent 3.
Answer:x+y=36
xy=256
x=256/y
256/y + y = 36
256/y + y²/y = 36y/y
y² - 36y +256 = 0
use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!
Step-by-step explanation:
question the radius of a circle is decreasing at a constant rate of 0.1 centimeter per second. in terms of the circumference c, what is the rate of change of the area of the circle, in square centimeters per second?
The rate of the area of the circle, expressed in terms of the circumference C, is 0.1C square centimeters per second.
What is known as a circle?
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.C=2πr
A=πr²
dA/dr=2πr=C
dr/dt=-0.1 cm/sec
dA/dt
= dA/dr * dr/dt
= 2πr (-0.1) cm²/s
= -0.1C cm²/s
As a result, a circle's radius is reducing at a steady rate of 0.1 centimeters each second. The rate of the area of the circle, expressed in terms of the circumference C, is 0.1C square centimeters per second.
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Question is in the picture
Answer:
(a) D = 72.05 dB (2 d.p.)
(b) I = 2.51 W/m² (2 d.p.)
Step-by-step explanation:
Given function:
[tex]\boxed{D(I)=10 \log_{10}(I)+120, \quad I\geq 0}[/tex]
where:
D is the sound intensity level (in dB).I is the sound intensity (in W/m²).Part (a)Given:
[tex]I=1.6 \times 10^{-5}\; \sf W/m^2[/tex]Substitute the given value of I into the given function and solve for D:
[tex]\begin{aligned}\implies D(1.6 \times 10^{-5}) & =10 \log_{10}(1.6 \times 10^{-5})+120\\& = 10 \log_{10}(0.000016)+120\\& = 10 (-4.795880017)+120\\& = -47.95880017+120\\&=72.04119983\\&=72.04\; \sf dB\;(2\:d.p.)\end{aligned}[/tex]
Part (b)Given:
D = 124 dBSubstitute the given value of D into the given function and solve for I:
[tex]\begin{aligned}\implies 124 & =10 \log_{10}(I)+120\\4 & =10 \log_{10}(I)\\10 \log_{10}(I)&=4\\\log_{10}(I)&=0.4\\10^{\log_{10}(I)}&=10^{0.4\\I&=2.511886432\\I&=2.51\; \sf W/m^2\; (2\:d.p.)\end{aligned}[/tex]