-213x = -134
x = -134/-213
x = 134/213
x = 0.629
____
Hope it helps ⚜
Answer:
\(\frac{134}{213}\)
Step-by-step explanation:
\(\frac{-213x}{-213} = \frac{-134}{-213}\)
\(x = \frac{-134}{-213}\) \(= \frac{134}{213}\)
This can only be further simplified to \(\frac{134}{213}\)
Keeping it simple by asking for more help. Question 10.
Answer: I will go with A or you can choose d if you want
Step-by-step explanation:
Jana has $5.00. She wants to buy a notebook for $4.50. The sales tax is 7%. Does she have enough money?
Yes or No.
Answer:
Yes
Step-by-step explanation:
Multiply $4.50 by 0.07
0.315
Add 0.315 to $4.50
$4.815
Round to the nearest cent.
$4.82
The notebook cost $4.82 with tax.
So Jana has enough money.
Hope I helped :)
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The model represents the factorization of 2x2+5x+3.
What are the factors of the polynomial?
Answer:
(2x+3)(x+1)
Step-by-step explanation:
The ratio of the number of Anne's pencils to the number of jason's pencils is 4:3 Anne has 100 pencils how many pencils does jason have
Answer:
75
Step-by-step explanation:
4:3
4x25=100
3x25=75
Write an equation with integer solutions of: x = 16, y = 0 and x = 0, y = 16 es ) A) x2 + y2 + 6 = 0 B) x2 + y2 + 36 = 0 x2 + y2 - 6 = 0 D) x? + y2 - 36 = 0
The required equation is:
x² + y² - 36 = 0
add 36 both sides:
x² + y² = 36
if in the previous expression, you replace x=±6 and y = 0 or y=±6 and x= 0, you obtaine the solutions.
In a classroom, 100 plastic fish are in a tub. The tub is hidden from the student view. Some fish are green, and the rest are yellow. The students know that there are 100 fish, but they don’t know how many of each color there are. The students go fishing, each time, picking a random fish from the tub, recording its color, and throwing the fish back in the tub. At the end of the day, 65 fish have been chosen, 12, green and 53 yellow. What is the best estimate you can give for the number of green fish in the number of yellow fish in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.
What is the estimated number of fish of each color?This can be calculated using a rule of three as follows. Let's start with the yellow fish:
53 = 65
x = 100
53 x 100 / 65 = 82 yellow fish
Green fish:
12 = 65
x = 100
12 x 100 / 65= 18 green fish
Is this estimate accurate?This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.
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Please only answer if u actually know pls!
At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.
To find the total revenue at each price, we can multiply the price by the corresponding quantity.
Price Quantity Total Revenue
$6 0 $0
$5 1 $5
$4 2 $8
$3 3 $9
$2 4 $8
$1 5 $5
To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.
In this case, the highest total revenue is $9, which occurs when the price is $3.
At a price of $3, the company will sell 3 units (as indicated in the Quantity column).
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The shortest side of a right triangle measures 3 m. The lengths of the other two sides are consecutive integers. Find the lengths of the other two sides.
DOOD
The length of the second side (shorter than the third side) is
9514 1404 393
Answer:
2nd side: 4 m3rd side: 5 mStep-by-step explanation:
You can answer this directly from your knowledge that the lengths (3, 4, 5) form a right triangle.
If you study Pythagorean triples, you find that for an odd-length short side, the other two sides can be consecutive integers whose sum is the square of the short side. (You can see that in the solution below.) Here are a few examples:
short side 3: Other sides are 4, 5. 4+5 = 9 = 3^2
short side 5: Other sides are 12, 13. 12+13 = 25 = 5^2
short side 13: Other sides are 84, 85. 84+85 = 169 = 13^2
__
Or, you can solve this making use of the Pythagorean theorem. The sum of the squares of the two sides is the square of the hypotenuse. If x is the second side, then ...
3² +x² = (x +1)²
3² = 2x +1 . . . . . expand the right side and subtract x²
x = (3² -1)/2 = 4
x+1 = 5
The second side is 4 m; the third side is 5 m.
what is 7 over 2 as a decimal
Answer:
3.5
Step-by-step explanation:
I recommend using a calculator. Divide 7/2.
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2+ 2xy - y^2 + x = 20, (3, 4) (hyperbola)
Differentiating both sides of
\(x^2 + 2xy - y^2 + x = 20\)
with respect to \(x\) yields
\(2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}\)
At the point (3, 4) (so \(x=3\) and \(y=4\)), the tangent line has slope
\(\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2\)
Then the tangent line to (3, 4) has equation
\(y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}\)
HELP PLZ, IT IS DUE IN 10 MIN!
Answer:
11.25 = 3% of 375
11.25= 20% of 56.25
I need some help math
Answer:
ok I will help you please wait for some time
Answer:
23
Step-by-step explanation:
Add the total number of hours in the given situation
Why is a bank eligible to ask a service fee
A bank is eligible to ask for a service fee because it provides various services to its customers that incur costs.
Banks are financial institutions that offer a range of services such as deposit accounts, loans, credit cards, money transfers, and investment options. These services require infrastructure, technology, staff, and administrative costs to operate effectively.
The service fee charged by a bank helps cover these operational expenses and ensures the bank can continue providing quality services to its customers. Additionally, banks may also charge fees to generate revenue and earn profits. Banks are businesses that need to maintain financial sustainability, and service fees contribute to their overall revenue stream.
Banks typically outline their fee structure and disclose the applicable charges in their terms and conditions or fee schedules. Common examples of service fees include monthly maintenance fees for deposit accounts, transaction fees for certain types of transactions, overdraft fees, wire transfer fees, and fees for additional banking services.
It's important for banks to be transparent about their fee structure and provide clear information to customers regarding the charges. Customers can then make informed decisions about which services to use and understand the costs associated with those services.
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Hurry PLZ!! What is the equation for the line in slope-intercept form? Enter your answer in the box.
Step-by-step explanation:
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b. or we get the point of the line directly on the y-axis.
we see several marked points.
e.g.
(-4, 4) (0, -4)
x changes by +4 (from -4 to 0)
y changes by -8 (from 4 to -4)
the slope (a) is -8/+4 = -2
the y-intercept is given by the point (0, -4), because this is where x=0.
so, it is -4
and the line equation is
y = -2x - 4
Would really appreciate if someone helped me with this one please!
a) The value of x is 21
b) The value of the expression is 135.
c) The value of the expression is 135.
How to find the value of x?Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:
5*(x + 6) = 9*(x - 6)
We can solve that linear equation for x:
5x + 30 = 9x - 54
30 + 54 = 9x - 5x
84 = 4x
84/4 = x
21 = x
Then the measures of the angles are:
a1 = 5*(21 + 6) = 135°
a2 = 9*(21 - 6) = 135°
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what is x + 3 1/2 = 9
Answer:
Step-by-step explanation:
x+3 1/2=9
x=9-7/2
x=(18-7)/2=11/2
x=5 1/2
Answer:
3 1/2 + 5 1/2= 9.
Step-by-step explanation:
Hope this helps? im sorry if it doesn't :)
A migrating bird flies 800 miles in 16 hours. How many miles does it fly in 7 hours?
Hi there!
miles=350 miles
1.Divide starting terms:
\(800*16=50\)
2.Multiply by 7:
\(50\)·\(7=350\)
Therefore, a migrating bird flys 350 miles per 7 hours.
T equals blank years. Do not round until the final answer then round to one decimal place as needed
• Amount invested (,P,): $9500
• Annual interest rate (,r,): 10% = 0.1
\(10\%=\frac{10}{100}=0.1\)• Accumulated amount (,A,): $19000 because it is double the amount invested.
• Time (,t,): ? years.
ExplanationWe replace the know values in the below formula, and we solve for t.
\(\begin{gathered} A=Pe^{rt} \\ 19000=9500e^{0.1t} \\ \text{ Divide by 9500 from both sides} \\ \frac{19000}{9500}=\frac{9500e^{0.1t}}{9500} \\ 2=e^{0.1t} \\ \text{ Apply natural logarithm from both sides} \\ \ln(2)=\ln(e^{0.1t}) \\ \text{ Applt the property }\ln(e^x)=x,\text{ for x > 0} \\ \ln(2)=0.1t \\ \text{ Divide by 0.1 from both sides} \\ \frac{\operatorname{\ln}(2)}{0.1}=\frac{0.1t}{0.1} \\ 6.9\approx t \\ \text{ The symbol }\approx\text{ is read 'approximately'} \end{gathered}\)AnswerThe time it takes to obtain the accumulated amount is approximately 6.9 years.
Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay! :)
X
Step-by-step explanation:
Multiply by reciprocal: \(\frac{x}{6} *\frac{6}{1} =\frac{6x}{6} =x\)
\( \Large{ \underline{\underline{ \tt{Required \: answer:}}}}\)
Here we have to simplify:
\( \rm{ \dfrac{x}{6} \div \dfrac{1}{6} }\)So, we know that:
Dividing a fraction by another fraction is the same as multiplying the fraction by the reciprocal (inverse) of the other.
By using this,
➝ \( \rm{ \dfrac{x}{6} \times 6}\)
➝ \( \rm{x}\)
The correct answer is Option (A)
If Z₁=3-2i
Z2=-2+3i
Z3=4+2i
Evaluate Z₂ Z3/Z₁
Answer:
32/13
Step-by-step explanation:
To evaluate the expression Z₂ * Z3 / Z₁, we first need to find the complex numbers Z₂ * Z3 and Z₁.
Z₂ * Z3 = -2 + 3i * 4 + 2i = (-8 + 14i) + (-6 + 6i) = -8 + 8i
Z₁ = 3 - 2i
So, Z₂ * Z3 / Z₁ = (-8 + 8i) / (3 - 2i)
We can simplify this expression by multiplying the numerator and denominator by the complex conjugate of the denominator, which is (3 + 2i).
Z₂ * Z3 / Z₁ = (-8 + 8i) / (3 - 2i) * (3 + 2i) / (3 + 2i) = (-8 + 8i) * (3 + 2i) / (3 - 2i) * (3 + 2i)
Z₂ * Z3 / Z₁ = ((-8 * 3 + 8 * 2i) + (8 * 3 + 8 * 2i)) / (3^2 + (-2i)^2) = (16 + 16i) / 13
Therefore, Z₂ * Z3 / Z₁ = (16 + 16i) / 13.
Sam computed a 95% confidence interval for μ from a specific random sample. His confidence interval was 10.1 < μ < 12.2. He claims that the probability that μ is in this interval is 0.95. What is wrong with his claim?
A) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0.95 or 0.05.
B) A probability can not be assigned to the event of μ falling in this interval.
C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
D) The probability that μ is in this interval is 0.05.
Answer: C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
Step-by-step explanation: A 95% Confidence interval shows that there is a 95% confidence that the true parameter is between the lower and upper limits.
A CI is not a probability that the true parameter is in between the interval. The true parameter is either in the interval or not.
So, probability of falling between the limits is 0 (no chance of being in this interval) or 1 (100% possibility of being in this interval).
Then, "either μ is in the interval or it is not. therefore, the probability that μ is in this interval is 0 or 1." is correct.
Una sección transversal de una cabaña de 5,5 m de ancho es un triángulo isósceles. Si la
pendiente de un lado es 1,5, encuentre la altura de la cabaña.
La altura de la cabaña es 8,25 metros.
En un triángulo isósceles la pendiente, esto es, la relación entre altura (\(h\)), en metros, y longitud de base (\(w\)), en metros, es constante. Por tanto, podemos determinar la altura a partir de la siguiente relación:
\(h = r\cdot w\) (1)
Donde \(r\) es la relación entre altura y longitud de base, sin unidad.
Si sabemos que \(r = 1,5\) y \(w = 5,5 m\), entonces la altura de la cabaña es:
\(h = (1,5)\cdot (5,5\,m)\)
\(h = 8,25\,m\)
La altura de la cabaña es 8,25 metros.
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A county library manager wants to find out what types of activities residents in the county want at the library. Which sample is the most representative of the population of interest?
Overall, a truly representative sample would need to be selected randomly from the entire population of interest to get accurate results.
What is randomly selected?"Randomly selected" refers to the process of choosing something without any predictable pattern or predetermined criteria. When something is randomly selected, it means that it is chosen by chance, without any intentional bias or preference towards any particular option. This can be done through various methods, such as using a random number generator or drawing names out of a hat. The purpose of random selection is often to ensure fairness and equal opportunity, especially in situations where multiple options or individuals are being considered for a particular opportunity or reward.
by the question.
To obtain a representative sample of the population of interest, the sample should be selected randomly from the population, ensuring that all individuals in the population have an equal chance of being selected.
Without any information about the population and its demographics, it is difficult to determine which sample is most representative. However, here are three potential samples:
Randomly select 500 individuals from the county's population and ask them about the types of activities they want at the library. This sample is likely to be representative if the population is diverse and the sample is randomly selected.
Ask 500 people who regularly use the library about the types of activities they want. While this sample is likely to be biased towards people who already use the library, it may still be representative of people who use the library regularly.
Ask 500 people who live within a mile of the library about the types of activities they want. This sample may be biased towards people who live close to the library and does not include people who live further away, but it may still be representative of people who are most likely to use the library.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
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Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?
Answer:
She has 12 inches wood left
Step-by-step explanation:
which of the following statements is true about the solution of the system? 2x-y=8 and y=2x-3
Answer:
no roots.
Step-by-step explanation:
\(\left \{ {{2x-y=8} \atop {y=2x-3}} \right. \ = > \ \left \{ {{2x-y=8} \atop {2x-y=3}} \right. \ = > \ no \ solution.\)
A coordinate plane with the following points plotted: (negative 3, 5), (negative 2, 3), (negative 2, negative 3), (3, 5), (2, 2), (4, negative 2).
The points (–2, 3) and (–2, –3) are reflected across
.
The points (–3, 5) and (3, 5) are reflected across
.
The points (4, –2) and (2, 2) are reflected across
.
Answer:
Step-by-step explanation:
Suppose that you have a set of points, where the x-coordinates represent the number of months since you purchased a computer and the y-coordinates represent how much the computer is worth. Would you know how to plot these points on a Cartesian plane? How about if the situation were reversed and you had the plotted points? Could you come up with the coordinates of the points and the function rule that would generate these points?
Functions on a Cartesian Plane
Once a table has been created for a function, the next step is to visualize the relationship by graphing the coordinates of each data point. Data points are formatted as (x,y), where the first coordinate represents the horizontal distance from the origin (remember that the origin is the point where the axes intersect). The second coordinate represents the vertical distance from the origin.
Figure 4.1.5.1
To graph a coordinate point such as (4, 2), we start at the origin.
Because the first coordinate is positive four, we move 4 units to the right.
From this location, since the second coordinate is positive two, we move 2 units up.
Figure 4.1.5.2
Plot the following coordinate points on the Cartesian plane:
(5, 3)
(-2, 6)
(3, -4)
(-5, -7)
We show all the coordinate points on the same plot.
the prime factorization of blank is 2*4*5.
Answer:
40
Step-by-step explanation:
When we find the prime factorization of a number, we are essentially finding breaking it down the most we can. When we multiply the prime factors, we will get the original number that we broke down.
So, let's multiply the prime factors
2*4*5 = 40
If we wanted to check, we can do so by finding the prime factors of 40.
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Btw, 4 is not a prime number. We would factor 4 into 2 × 2. Then we would have 2³, as there are three 2s. The correct way to write this prime factorization would be,
2³ × 5
Answer:
Its 80
Step-by-step explanation:
because i got it right
What is the solution to the compound inequality: 10<2x-4<20
Answer:
7 < x < 12
Step-by-step explanation:
To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.
\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)
79 Points!!! Algebra question. A biologist plotted the data from his latest experiment and connected the points to form the graph shown. He recognizes that the graph is a translation of y=x^2. Write a function f(x) to represent the graph of his data. Photo attached. Thank you!