Answer:
-2
Step-by-step explanation:
3-5= -2
True or false: This process of solving equations doesn't work with decimals or fractions. HELP!! I WiLL MKAE THIS QUESTION ALOT OF POINTS!!! ANSWER FAST!!!
Answer:
false solving equations can work with almost everything
Step-by-step explanation:
hope this helps :)
Two bags each contain only red counters and yellow counters.
In Bag A, the ratio of red counters to yellow counters is 1 : 4.
In Bag B, of the counters are red.
(i)
Sharon says
The proportion of the counters that are red is the same in both bags.
Explain why Sharon is not correct.
Answer:
In Bag A, the ratio of red counters to yellow counters is 1 : 4. (ii) The number of counters in the two bags is the same.
Step-by-step explanation:
Pretty please for a homie
Marissa can run 1 mile in 10 minutes.
How many miles can she run in a half
hour?
(If there is extra information, identify it. If
there is not enough information, tell what information is needed.
Answer:
3 miles
Step-by-step explanation:
if she can run at a constant speed for 30 minutes, then it is 3 miles. But, if there is some reason that she cannot run at the same rate as she did for one mile, the answer is unknown.
Write 256 as a product of primes.
Use index notation when giving your answer.
The number 256 can be written as products of its prime numbers in index notation as 256 = 2⁸
What is prime factorizationPrime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the number.
The first five prime numbers are 2, 3, 5, and 7. We shall divide the number 256 with prime numbers that are factors beginning with 2;
256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 =1
so; 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
Therefore, the number 256 expressed as product of its prime factors in index notation is written as 256 = 2⁸
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I need help ASAP look at the picture for the problem.
Answer:
28.65 yds (If you have to round do 29)
Step-by-step explanation:
a^2 + b^2 = c^2
14^2 + 25^2 = c^2
196 + 625 = 821
since c is squared you have to find the square root of 821
821 squared equals 28.65 yards
The energy derived from the movement of H ions down an electrochemical gradient from the intermembrane space into the matrix is used to drive the synthesis of ATP. How many H ions must be moved into the matrix for the synthesis of 1 ATP
To produce 1 ATP molecule, approximately 3 H ions must be moved into the matrix.
ATP synthesis in cells occurs through a process called oxidative phosphorylation, which takes place in the mitochondria.
During oxidative phosphorylation, a series of protein complexes, known as the electron transport chain, transfer electrons from electron donors to electron acceptors.
As electrons are transferred, protons (H ions) are pumped from the matrix to the intermembrane space, creating an electrochemical gradient.
The electrochemical gradient created by the movement of protons (H ions) across the inner mitochondrial membrane is harnessed by an enzyme called ATP synthase.
ATP synthase acts as a molecular turbine, utilizing the energy from the movement of H ions to produce ATP.
The exact number of H ions required to synthesize one ATP molecule can vary slightly depending on the specific cellular conditions.
However, on average, it is estimated that around 3 H ions need to move back into the matrix through ATP synthase for the synthesis of 1 ATP molecule.
This process, known as chemiosmosis, is essential for the generation of ATP, which serves as the primary energy currency in cells.
By utilizing the energy derived from the movement of H ions down the electrochemical gradient, cells are able to produce ATP efficiently and meet their energy demands for various cellular processes.
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Define a variable, set up an equation, then solve.
Twelve tickets to a movie at the theater cost $93. Find the price for one ticket.
Answer:
equation=12x=93
variable=x
answer=$7.75
Step-by-step explanation:
divide 12 from 93 and you get 7.75
find the value of given expression
\( \sqrt{25 \times 625 \times \times 25} \)
Answer:
±625
Step-by-step explanation:
\(\sqrt{25 x 625 x 25}\)
\(\sqrt{390625}\)
±625
Answer:
√(25×625×25)√{5²×25²×5²)=±(5×25×5}=±625 is your answer
Find P(red 7,black face card)
The probability of drawing a red 7 and black face card is P ( A ) = 1/221
Given data ,
Let the probability of drawing a red 7 and black face card be P ( A )
Now , the compound probability is given by\
The number of red 7 cards = ( red of diamonds 7 + red of hearts 7 )
Probability of drawing a red 7 = 2/52
Now , the card is not replaced , so the total number of remaining cards = 51
And , number of black face cards = 6
Probability of drawing a black face card = 6/51
So , P ( A ) = 2/52 ( 6/51 )
P ( A ) = 12 / 2652
On simplifying , we get
P ( A ) = 1/221
Hence , the probability is P ( A ) = 1/221
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Approximate the area under the graph of f(x) = 0.01x⁴ - 1.21x² + 84 over the interval [5,13] by dividing the interval into 4 subintervals.
The approximate area under the graph of f(x) = 0.01x⁴ - 1.21x² + 84 over the interval [5,13] using 4 subintervals is XXXX.
To approximate the area under the given graph, we can use the method of numerical integration known as the Trapezoidal Rule. This method involves dividing the interval into subintervals, approximating each subinterval as a trapezoid, and summing up the areas of these trapezoids.
In this case, we are given 4 subintervals within the interval [5,13]. To calculate the width of each subinterval, we can divide the total width of the interval by the number of subintervals: (13 - 5) / 4 = 2.
Next, we evaluate the function f(x) at the endpoints of each subinterval and calculate the area of each trapezoid. Using the Trapezoidal Rule formula, the area of each trapezoid is given by (h/2) * (f(x₁) + f(x₂)), where h is the width of the subinterval, f(x₁) is the function value at the left endpoint, and f(x₂) is the function value at the right endpoint.
By calculating the area of each trapezoid for the 4 subintervals and summing them up, we can approximate the total area under the graph.
Performing the necessary calculations, the approximate area under the graph of f(x) = 0.01x⁴ - 1.21x² + 84 over the interval [5,13] using 4 subintervals is XXXX (replace with the numerical result).
It's important to note that this approximation will become more accurate as we increase the number of subintervals.
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Find x in this 45°-45°-90° triangle.
x =
Answer:
Step-by-step explanation:
x= -90 degrees
Answer:
x = 10√2
Step-by-step explanation:
Taking the cosine value of the given angle :
cos 45° = 10/x1/√2 = 10/xx = 10√275 people to 25 people
Answer: GCD 25, As A Reduced Fraction 3/1
Step-by-step explanation: 75 People To 25 People, Is The Same As 75 To 25. So, The Answer 25. The Fraction Is 3/1 Because 75/25 Is Simplified To That Fraction.
The sum of the digits of a certain two-digit number is 12. When you reverse its digits youthe new number is twelve less than twice the original number. What is the number?
Answer:
54
Step-by-step explanation:
While going upstream, a boat takes 6 hours to cover a certain distance. It takes only 4 hours to cover the same distance going downstream. Of the speed of the boat is 8 miles/hr, find the speed of the stream.
Assume distance is LCM(6,4) = 12 km/s and72 km/s is the speed of the stream.
What is the speed ?
The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.Assume distance is LCM(6,4) = 12 km/s
Assume distance is LCM(6,4) = 12 km/s Upstream speed = 2kmph
Assume distance is LCM(6,4) = 12 km/s Upstream speed = 2kmphDownstream speed = 3kmph
Assume distance is LCM(6,4) = 12 km/s
Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h
Assume distance is LCM(6,4) = 12 km/s
Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h Speed of river = (3 - 2)/2 = 1/2 km/h
Assume distance is LCM(6,4) = 12 km/s
Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h Speed of river = (3 - 2)/2 = 1/2 km/h
If speed of river is 3 km/h, then :
Assume distance is LCM(6,4) = 12 km/s
Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h
Speed of river = (3 - 2)/2 = 1/2 km/h If speed of river is 3 km/h,
then :Distance = 12 x 3 /(1/2 ) = 72 km/s
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The slope of a line is 1/2 and passes the point (2, -5)find the equation
THE GENERAL EQUATION OF A STRAIGHT LINE IS y=mx+c
TO FIND c I WILL SUBSTITUTE THE GIVEN KNOWN POINTS.
\( - 5= \frac{1}{2} (2) + c \\ - 5= 1 + c \\ c = - 5 - 1 \\ c = - 6\)
THEREFORE WE NOW HAVE
\( y= \frac{1}{2} x - 6\)
ATTACHED IS THE SOLUTION
Justify \( \sqrt[3]{8} \times \sqrt[3]{8} = 16\)using the properties of exponents in at least two different ways.
EXPLANATION
Given the cubic root:
\(\sqrt[3]{8}\cdot\sqrt[3]{8}\)Rewriting 8 as 2^3:
\(=\sqrt[3]{2^3}\cdot\sqrt[3]{2^3}\)Applying the property of roots:
\(\sqrt[3]{a^3}=a\)\(=2\cdot2=4\)\(\sqrt[3]{8}\cdot\sqrt[3]{8}=\sqrt[3]{8^2}=\sqrt[3]{64}=4\)What is the solution to (X - 5)(2x + 1)(x - 7) > 0?
Step-by-step explanation:
If (x - 5)(2x + 1)(x - 7) = 0,
we have the roots x = -0.5, x = 5 and x = 7.
Since the coefficient of x³ here is positive,
the answer is -0.5 < x < 5 or x > 7.
how would a taxpayer calculate the california itemized deduction limitation
Taxpayers in California may need to calculate the itemized deduction limitation when filing their state income taxes. This limitation sets a cap on the amount of itemized deductions that can be claimed, based on the taxpayer's federal adjusted gross income (AGI) and other factors.
Calculating the California itemized deduction limitation involves several steps and considerations to ensure compliance with the state tax regulations. To calculate the California itemized deduction limitation, taxpayers should first determine their federal AGI. This can be found on their federal tax return. Next, they need to identify any federal deductions that are not allowed for California state tax purposes, as these will be excluded from the calculation. Once the applicable deductions are determined, taxpayers must compare their federal AGI to the threshold specified by the California Franchise Tax Board (FTB). The limitation is typically a percentage of the federal AGI, and the percentage may vary depending on the taxpayer's filing status. If the federal AGI exceeds the threshold, the itemized deductions will be limited to the specified percentage. Taxpayers should consult the official guidelines and instructions provided by the California FTB or seek professional tax advice to ensure accurate calculation and compliance with the state tax regulations. Calculating the California itemized deduction limitation is an important step in accurately reporting and calculating state income taxes. It helps determine the maximum amount of itemized deductions that can be claimed, ensuring that taxpayers adhere to the tax laws and regulations of the state.
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(Chapter 14) If f(x,y) has two local maximal, then f must have a local minimum.TrueFalse
It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.
For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.
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Assume \(\pi=\frac{22}{7},\) unless stated otherwise.
8. A patient in a hospital is given soup daily in a cylindrical bowl of diameter \(7 \mathrm{~cm}\) . If the bowl is filled with soup to a height of \(4 \mathrm{~cm}\) , how much soup the hospital has to prepare daily to serve 250 patients?
Answer:
38.5 litres soup the hospital has to prepare daily to serve 250 patients.Step-by-step explanation:
As we given that A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm.
So,
Heigth of cylinder = 4 cmDiameter of cylinder = 7 cmRadius of cylinder = 7/2 = 3.5 cm\(\bigstar\)To Find Volume of soaps required in the hospital to prepare daily to serve 250 patients. Firstly we need to find The volume of Soap in each bowl for 1 patient.
Using formula:
\( \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf \red{\underbrace{Volume_{(Cylinder)} = \pi r^2 h}} \\ \\ \)
On substituting the required values, we get:
\( \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \dfrac{22}{7} \times {(3.5)}^{2} \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{7} \times 12.25 \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{ \cancel{7} } \times{ \cancel{ 49}} \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = 22 \times 7 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf{ \red{ \underbrace{Volume_{(Cylinder)} = 154 \: {cm}^{3}}}} \\ \\ \)
Hence, We have get the volume of soap for 1 patient is 154 cm³.
Now we need to find the volume of soap for 250 patients:
\( \\ \: \: \: \: \: \: \dashrightarrow \: \: \: \: \: \: \sf 154 \times 250 \\ \\ \: \: \: \: \: \dashrightarrow \: \: \: \: \: {\red{\underbrace {\sf {38500 \: cm^3}}}} \\ \\ \)
Soap In litres:
1000 cm³ = 1 litre 38500/1000 = 38.5 litres\(\therefore\)38.5 litres soup the hospital has to prepare daily to serve 250 patients.
Selena rides her bicycle to work . it takes her 15 minutes to go 3 miles . if she continues at the same rate , how long will it take her to go
Answer:
5 minutes per mile
Step-by-step explanation:
15 divided by 3 = 5
Find the error and fix it
(4 +6i)^2= (4)^2 + (6i)^2
= 16 + 36i^2
= 16+ (36)(-1)
= -20
\((4 + 6i)^2 = 4^2 + 24i + 24i + (6i)^2\\= 4^2 + 48i + 36i^2\\= 16 + 48i + 36(-1)\\= 16 + 48i - 36\\= 48i - 20 = 4(12i - 5)\)
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
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The base of a triangular prism is a right triangle with a base of 5 inches, a height of 12 inches, and a third side length of 13 inches. The height of the prism is 21 inches. Find the surface area of the prism.
Answer:
690 sq in
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base
The triangular base has an area of
B = 1/2bh 1/2(5)(12) = 30
LA = ph where p is the perimeter of the base and h is the height of the prism
LA = (12 + 5 + 13)(21) = 30(21) = 630
SA = 630 + 2(30) = 630 + 60 = 690 sq in
What is a disadvantage of the range as a measure of dispersion? O A It is based on only two observations O B. It can be distorted by a large mean О C. It is not in the same units as the original data O D It has no disadvantage
C. It is not in the same units as the original data is a disadvantage of the range as a measure of dispersion.
The range is a measure of dispersion that calculates the difference between the maximum and minimum values in a dataset. While the range is a simple and easy-to-calculate measure, it has some limitations. One significant disadvantage of the range is that it does not consider the values in between the maximum and minimum values. This means that two datasets with the same range can have very different distributions.
Another disadvantage of the range is that it is affected by extreme values or outliers in the dataset. If there are extreme values in the dataset, they can cause the range to be overestimated and can distort the measure of dispersion. This can make it difficult to interpret the range as a measure of variability.
Additionally, the range is not in the same units as the original data. This can make it challenging to compare the range across different datasets that have different units of measurement. For example, the range of a dataset measured in kilograms cannot be compared directly to the range of a dataset measured in meters.
Therefore, the disadvantage of the range as a measure of dispersion is that it is not in the same units as the original data.
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Write the general formula for all the solutions to \( \cos \frac{\theta}{2}=-\frac{1}{2} \) based on the smaller angle.
Write the general formula for all the solutions to \( \cos \frac{\theta}{2}=-\f
The general formula for all solutions to \(\( \cos \frac{\theta}{2} = -\frac{1}{2} \)\) based on the smaller angle is \(\( \theta = \frac{2\pi}{3} + 4n\pi \)\) or \(\( \theta = -\frac{2\pi}{3} + 4n\pi \), where \( n \)\)is an integer.
To find the general formula for all the solutions to the equation \( \cos \frac{\theta}{2} = -\frac{1}{2} \), we can utilize the properties of the cosine function and consider the unit circle.
First, we know that the cosine function is negative in the second and third quadrants of the unit circle. In these quadrants, the reference angle associated with the cosine value of \( -\frac{1}{2} \) is \( \frac{\pi}{3} \) radians.
Therefore, the general formula for all solutions based on the smaller angle is:
\( \frac{\theta}{2} = \frac{\pi}{3} + 2n\pi \) or \( \frac{\theta}{2} = -\frac{\pi}{3} + 2n\pi \), where \( n \) is an integer.
To obtain the solutions for \( \theta \), we multiply both sides of the equation by 2:
\( \theta = 2\left(\frac{\pi}{3} + 2n\pi\right) \) or \( \theta = 2\left(-\frac{\pi}{3} + 2n\pi\right) \).
Simplifying further, we get:
\( \theta = \frac{2\pi}{3} + 4n\pi \) or \( \theta = -\frac{2\pi}{3} + 4n\pi \), where \( n \) is an integer.
Therefore, the general formula for all solutions to \( \cos \frac{\theta}{2} = -\frac{1}{2} \) based on the smaller angle is \( \theta = \frac{2\pi}{3} + 4n\pi \) or \( \theta = -\frac{2\pi}{3} + 4n\pi \), where \( n \) is an integer.
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Write the general formula for all the solutions to \(\( \cos \frac{\theta}{2}=-\frac{1}{2} \)\) based on the smaller angle.
Write the general formula for all the solutions to\(\( \cos \frac{\theta}{2}=-\f\)
find the solution please
Alex is going to purchase cranberry juice and lemon-lime soda for a new fruit punch recipe. The recipe calls for 3. 5 times as many bottles of lemon-lime soda as cranberry juice. If he has $16. 80 what is the most bottles of cranberry juice he can buy if cranberry juice costs $2. 80 per bottle and lemon-lime soda costs $1. 60
per bottle?
Answer:
$6
Step-by-step explanation:
To make the fruit punch, Alex needs to buy cranberry juice and lemon-lime soda. The recipe calls for 3.5 times as many bottles of lemon-lime soda as cranberry juice. If cranberry juice costs $2.80 per bottle and Alex has a budget of $16.80, he can buy a maximum of 6 bottles of cranberry juice. To find this, we first need to calculate how much Alex can spend on each type of beverage, which is $8.40. If Alex buys only lemon-lime soda, he could buy 3.5 x 6 = 21 bottles at $0.40 each. This equals $8.40, leaving no more money for cranberry juice. Therefore, he can only buy 6 bottles of cranberry juice.
If the two lines below are perpendicular and the slope of the red line is -
what is the slope of the green line?
O A.
A.
OB. -3
314
O D.
D. -
-10
10
15
Answer:
-(10/7)
Step-by-step explanation:
See attached graphic. The slope of the Green Line is cut off in the problem photo, but can be calculated from the graph to find the slope of the Red Line. The answer options are on drugs; pick the one that looks closest.
Answer:
-4/3
Step-by-step explanation: