Answer:
x = 1
Explanation:
4x + 3 = 7 (subtract both sides by 3)
4x = 7 - 3 (simplify)
4x = 4 (divide both sides by 4)
4x/4 = 4/4 (simplify)
x = 1
Hii student!
\(\leadsto\parallel\boldsymbol{Answer.}\parallel\leadsto\)
________________________________________________________
x=1! ^-^
________________________________________________________
\(\leadsto\parallel\boldsymbol{Explanation.}\parallel\rightleftharpoons\)
FIRST subtract 3 from both sides.
\(\sf 4x=7-3}\)
\(\sf 4x=4}\)
NEXT divide both sides by 4.
\(\boldsymbol{x=1}\)
Hope that this helped! Best wishes.
\(\textsl{Reach far. Aim high. Dream big.}\)
\(\boldsymbol{-Greetings!-}\)
________________________________
Mr. Blake asked the 60 students in his computer classes whether they prefer using a mouse
or a touchpad. This table shows the relative frequencies from the survey.
Mouse
0.25
0.25
0.50
Touchpad
0.20
0.30
0.50
Seventh graders
Eighth graders
Total
Based on the data in the table, which statements are true? Select all that apply.
Most seventh graders prefer to use a mouse.
Total
0.45
0.55
1.00
Students who prefer to use a touchpad are less likely to be eighth graders.
There is an association between a student's grade level and computer
preference.
There is no association between a student's grade level and computer preference
Based on the data in the table, the following statements are true:
Students who prefer to use a touchpad are less likely to be eighth graders.There is an association between a student's grade level and computer preference.How to explain the informationStudents who prefer to use a touchpad are less likely to be eighth graders. This statement is true because 20% of eighth graders prefer to use a touchpad, while 25% of seventh graders prefer to use a touchpad. This means that there is a higher percentage of seventh graders who prefer to use a touchpad than eighth graders.
There is an association between a student's grade level and computer preference. This statement is true because the data shows that there is a clear relationship between a student's grade level and their preference for a mouse or touchpad. For example, 25% of seventh graders prefer to use a mouse, while only 20% of eighth graders prefer to use a mouse.
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pls help (will give brainliest if possible!)
The real number √21 is an example of an irrational number. (Correct choice: C)
What number is real and irrational?
According to number theory, real numbers are formed by the following sets:
Natural numbers - Set of real numbers defined by N = {1, 2, 3, 4, 5, 6, ...}.Whole numbers - Set of real numbers defined by the union of the set of natural numbers and the number 0.Integers - Set of real numbers defined by the union of the set of whole numbers and Z = {- 1, - 2, - 3, - 4, - 5, - 6, ...}Rational numbers - Set of real numbers defined by numbers of the form m / n, where m and n are integers and n is not zero. All integers are also rational numbers, but not all rational numbers are integers.Irrational numbers - Set of real numbers that are not rational. All rational numbers can have an irrational representation, but not all irrational numbers are rational.Then, by direct inspection we get the following conclusions:
The real number 5.85858585... is a rational number.The real number 63.4 is a rational number (317 / 50).The real number √21 is an irrational number. The real number √36 is a rational number (6).To learn more on irrational numbers: https://brainly.com/question/17450097
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how is 1/5 changed to a decimal
Answer:
just divide 1/5 by 100 and you should get it
Step-by-step explanation:
use green's theorem to find the counterclockwise circulation and outward flux for the field f=(7x−4y)i (9y−4x)j and curve c: the square bounded by x=0, x=4, y=0, y=4.
The counterclockwise circulation around c is 12 and the outward flux through c is zero.
Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.
In this case,
we have a field f=(7x−4y)i+(9y−4x)j and
a square curve c bounded by x=0, x=4, y=0, y=4.
To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.
The curl of f is given by (0,0,3), so the line integral evaluates to 12.
To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.
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How Do I do this word problem
Answer:
just do what it says
Step-by-step explanation:
Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?
Answer:
10 hours
Step-by-step explanation:
We can convert the speed to km/h, and to do this, you simply have to find the amount Kevin rides in 1 hour. So,
24/2 = x/1
x = 12
So, now we see that Kevin rides at approximately 12 kmph. Now, instead of finding the distance, we need to find the hour at 120 km.
12/1 = 120/x
x = 10
The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number Cube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2
Answer:
(1/6)
Step-by-step explanation:
ℎ 1/6
find a1 in a geometric series for which sn = 93, r = 2, and n = 5
The first term, a1, in the geometric series is -3.
What is Geometric Series?
A geometric series is a series for which the ratio of two consecutive terms is a constant function of the summation index. The more general case of a ratio and a rational sum-index function produces a series called a hypergeometric series. For the simplest case of a ratio equal to a constant, the terms have the form
To find the first term, a1, in a geometric series given the sum, Sn = 93, the common ratio, r = 2, and the number of terms, n = 5, we can use the formula for the sum of a geometric series:
Sn = a1 * (1 - r^n) / (1 - r)
Plugging in the given values, we have:
93 = a1 * (1 - 2^5) / (1 - 2)
Simplifying the expression:
93 = a1 * (1 - 32) / (-1)
93 = a1 * (-31)
Now we can solve for a1 by dividing both sides of the equation by -31:
a1 = 93 / -31
a1 = -3
Therefore, the first term, a1, in the geometric series is -3.
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2 apples cost 2 dabloons.
How much does 1 apple cost
Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
Answer: 2/5 feet
Step-by-step explanation:
From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.
The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:
= 8/10 ÷ 2
= 8/10 × 1/2
= 8/20
= 2/5
Therefore, each person gets 2/5 feet of rope.
You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account. How much money do you have in your savings account?
Answer:
x + 125 = 2250 OR x = 2250 - 125
Step-by-step explanation:
Where x is the amount of money you have in your savings account. To solve for x, you can subtract 125 from both sides:
x = 2250 - 125
x = 2125
Therefore, you have $2125 in your savings account.
Hope this helps :)
a required question
A is the midpoint of BC. C is the midpoint of AD. E is the midpoint of CD. If CE =
3ft, how long is BD?
Answer:
18ft
Step-by-step explanation:
AC = CD = BA
CD = 2CE
BD = BA + AC + CD = 2CE + 2CE + 2CE
= 6CE
CE = 3
6 × 3 = 18
what is the sum of the infinite geometric series? –288 –216 –144 –72
The sum of the infinite geometric series –288 –216 –144 –72 is -1152.
The sum of an infinite number of terms having a constant ratio between successive terms is called as infinite geometric series.
Given series, -288, -216, -144, -72, ...
The sum of the infinite geometric series can be calculated as:
Sum = \(\dfrac{a}{1 -r}\)
Here, 'a' is the first term of the series and 'r' is the common ratio.
a = -288
The common difference can be calculated as:
r = \(\dfrac{(-216)}{(-288)}\)
= \(\dfrac{3}{4}\)
Substitute the values in the sum formula:
Sum = \(\dfrac{-288}{1 - \dfrac{3}{4}}\)
It can be simplified as:
Sum = -288 \(\times\) 4
= -1152
So, the sum of the infinite geometric series is -1152.
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ooooooooooooooooooooooooooooooooo y=5x+2
Answer:
I need the whole question plz.
Step-by-step explanation:
x=1 y=7
x=2 y=12
etc.
What is the answer??
Answer:
y₂ = 3
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - \(\frac{3}{4}\)
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )
m = \(\frac{y_{2}+6 }{-5-7}\) , that is
\(\frac{y_{2}+6 }{-12}\) = - \(\frac{3}{4}\) ( cross- multiply )
4(y₂ + 6) = 36 ( divide both sides by 4 )
y₂ + 6 = 9 ( subtract 6 from both sides )
y₂ = 3
six distinct positive integers are randomly chosen between and , inclusive. what is the probability that some pair of these integers has a difference that is a multiple of ?
Answer:
So the probability of this happening is exactly 1 - it must be true
Step-by-step explanation:
If we calculate modulo(5) for each of the six numbers (the integer remainder after dividing by 5), we will get six values from 0 to 4.
By the pigeonhole principle, since there are 6 numbers and only 5 possible values, at least two must share the same value modulo 5. Pick two of those, say x and y, in which case x mod 5 = y mod 5, therefore (x - y) mod 5 = 0. In other words, their difference is a multiple of 5.
So the probability of this happening is exactly 1 - it must be true
Mrs. publinsky and her husband, xander, are planning their dream house. the lot for the house sits high on a hill with a beautiful view of the white mountains. the plans show the size of the house to be 2,900 square feet.
The estimated cost if they use a contractor to complete the house would be $435,000.
How to calculate the cost of the house?The cost of the house is based on what home builders typically charge for a house similar to the one Mrs. Pavlinski and her husband Zander have in mind.
In this case, the contractor's price is $150 per square foot of her home while the area of the house is given as 2,900 square feet.
Total cost = Cost per square feet x Area of house
Solving for the estimated cost gives:
= 150 x 2,900
= $435,000
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The given question is incomplete and the complete question is as follows.
"Mrs. Publinsky and her husband, Xander are planning their dream house. The lot for the house sits high on a hill with a beautiful view of the White Mountains. The plans show the size of the house to be 2,900 sq ft. The average price for a lot and house similar to this one has been 150 per sq ft. Fortunately, Xander is a retired plumber and feels he can save money by installing the plumbing himself. Mrs Publinsky feels she can take care of the interior decorating. They both feel they can complete the exterior painting with the help of their two sons."
Which of the following expressions is equivalent to −56−13? Select all that apply. A. (−56)⋅(−3) B. (−65)⋅(−3) C. (−65)⋅(−13) D. (56)÷(13) E. 56⋅(−3)
please answer soon, in the middle of a test, thx
Answer:
A, D, and E.
Step-by-step explanation:
Sorry if wrong but im pretty sure. you flip the second fraction so it becomes a three. the divide bacomes a multiply so that should be correct
He can say that The expression that should be equivalent to −56−13 is option b.
Calculation of the expression:Since the expression is -56-13
So if we add together so it comes like
= -56 + -13
= -56 - 13
= -69
Now based on the options, if we considered option b
i.e.
= -65 -3
= -69
Therefore, the option b is correct.
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Amy wants to fence off a rectangular area that is 24 feet squared in size for a vegetable garden.
She is considering three garden lengths of 6 ft, 8 ft, and 12 ft. She wants to determine which garden would require the least amount of fencing.
Determine the dimensions of the garden that would require the least amount of fencing.
Length
12, 8, or 6ft
Width:
3, 4, or 2ft
Answer:
Let y = length of side parallel to the side with no fence
x = length of each of the other two sides
Then, y+2x = 64. So, y = 64-2x
Area = A = xy = x(64-2x)
The graph of the area function is a parabola opening downward with a highest point and with x-intercepts (0,0) and (32,0).
By the symmetry of the parabola, the x-coordinate of the maximum point lies halfway between the x-intercepts.
So, the area is maximized when x = 16 ft
y = 64 - 2x = 32 ft
Maximum area = xy = (16)(32) = 512 ft2
To maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.
I need help!!!!!!
Create a cross-sectional diagram of this situation in geogebra, with the circumference of earth depicted as a circle (your diagram need not be drawn to scale)
Answer:
See attached figure.
Step-by-step explanation:
Figure drawn as per instructions, not to scale, using geogebra as requested.
Distance measurements are arbitrary since distance of satellite to earth and not given. As drawn, it is around 4800 mi, which seems way too high.
Enjoy, and have a nice day!
Answer:
All answers are bold and links are real photos
BTW THE PHOTOS ARE IN ORDER OF THE ANSWERS
Brainlyist??
Step-by-step explanation:
Task 1
Part A
Tangent Line
Part B
PHOTO WITH LARGE CIRCLE AND LINE OUT SIDE BUT CONNECTED
Part C
2034.7
PHOTO WITH EQUATION
We calculate the point from the center of the earth to the satellite and because we have the radius we can subtract it getting the distance from the satellite to the earth.
Task 2
Gears
Part A
Approximately 10.47 inches
Part B
300 DEGREES
Part C
Approximately 125.66 inches
Part D
The distance traveled increases by approximately 62.83 inches
Task 3
Circle Theorems
Part A
PHOTO WITH LINE THROUGH CIRCLE AND ONE 90 DEGREE ANGLE
Part B
Prove OC is perpendicular to AB
We know that ΔAEC≅AED by SSS criteria (SSS criteria is when all three sides of a triangle is equal making them congruent)
To prove this that they apply to the SSS criteria: m∠ADO=m∠BDO m∠ADO=90°=m∠BDO
Part C
A radius is perpendicular to a chord when the chord is equally divided in half by the radius.
PHOTO OF LINE THROUGH CIRCLE AND LINE DISTANCES
Part D
Prove OC is perpendicular to AB
AO=BO because AO and BO are both radii
OD≅OD by reflexive theorem
ΔADO≅ΔBDO because they are both right triangle with the hypotenuse and a side
AB≅BC means that OC is perpendicular to AB
Help out with this question please!
Answer:
my answer is A
Step-by-step explanation:
if you work out the equation where you know that at the x intercept y=0 you will find A to be true
Suppose that the last four months of sales were 18, 20, 25, and 30 units, respectively. Suppose further that the last four forecasts were 15, 18, 20, and 31 units, respectively. What is the Mean Absolute Deviation (MAD) of these forecasts
The Mean Absolute Deviation (MAD) of these forecasts is 2.75.
Mean Absolute Deviation (MAD) of forecasts is calculated using the formula: MAD = Σ|F-A|/n where, F is the forecast, A is the actual sales and n is the number of periods in the time series. Using the formula: MAD = Σ|F - A|/nFirst, we need to find the values of F-A which are:
|15-18| = 3|18-20| = 2|20-25| = 5|31-30| = 1.
Then, we find the sum of the absolute deviation:3+2+5+1 = 11Next, we divide the sum of the absolute deviation by the number of periods in the time series which is 4.Thus, MAD = 11/4 = 2.75.Therefore, the Mean Absolute Deviation (MAD) of these forecasts is 2.75.
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mina 15. a car gets $12$ miles per gallon uphill and $24$ miles per gallon downhill. if the car goes to the top of pike's peak and back ($48$ miles uphill followed by $48$ miles downhill), what is the car's gas mileage, in miles per gallon, for the entire trip?
If the car goes to the top of spike's peak and back, the mileage of the car is 16 miles per gallon
The mileage of car in uphill = 12 miles per gallon
The mileage of car in downhill = 24 miles per gallon
The total distance traveled in up hill = 48 miles
The number of gallon of gas used = 48/12
= 4 gallon
The total distance traveled in down hill = 48 miles
The number of gallon of gas used = 48 / 24
= 2 gallon
Total distance traveled = 48 + 48
= 96 miles
Total number of gallons of gas = 4 + 2
= 6 gallon
The mileage = Total distance / The number of gallon
= 96 / 6
= 16 miles per gallon
Therefore, the mileage of the car is 16 miles per gallon
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Determine whether the statement below is true or false. If it is false, explain. Least squares means that the square of the largest residual is as small as it could possibly be. Choose the correct answer below. O A. The statement is false. It is the sum of the squares of all the residuals that is minimized. OB. The statement is true. O C. The statement is false. It is the difference of the squares of all the residuals that is minimized.
C. The statement is false. It is the sum of the squares of all the residuals that is minimized.
In the context of least squares, the goal is to minimize the sum of the squares of the residuals, not the square of the largest residual alone. The residuals are the differences between the observed values and the corresponding predicted values obtained from a regression model.
By minimizing the sum of the squares of the residuals, the least squares method ensures that all residuals contribute to the overall measure of fit, rather than just focusing on the largest residual. This approach provides a balanced and comprehensive assessment of the overall goodness of fit between the model and the observed data.
Therefore, the statement that the square of the largest residual is as small as it could possibly be is false. The least squares method aims to minimize the sum of the squares of all the residuals, leading to the best overall fit between the model and the data.
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Write two numbers that multiply to the value on top and add to the value on bottom.
top number : -7
bottom number:-6
The two numbers for multiplying give -7 and adding gives -6 are 1 and -7.
What is multiplication expression?
Finding the numerator of the first and second fractions as well as the product of the denominator is required when multiplying two fractions. In other words, the product of the numerators/product of the denominators of two rational numbers equals the multiplication of those two integers.
Here, we have
Given:
The multiply of two numbers = - 7
And, the addition of two numbers = -6
Now,
Let the first number = -x
And, the second number = 6y
So, We can formulate;
xy = -6
And, x + y = -6 ... (i)
Since we know that;
(x - y)² = (x + y)² - 4xy
Substitute all the values, we get;
(x - y)² = (-6)² - 4 × (- 7)
(x - y)² = 36 + 28
(x - y)² = 64
(x - y) = 8 .. (ii)
Solve equations (i) and (ii), and we get;
x = 1 and y = -7
Hence, The two numbers for multiplying give -7 and adding gives -6 are 1 and -7.
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which of the following statements is true? which of the following statements is true? scientific concepts are permanent once they have been investigated and supported by data. our data fully explain natural phenomena once we are able to show cause and effect. the scientific process is a continuous process of collecting data and refining hypotheses. when data support a hypothesis, the work on that scientific concept is complete. collecting data that are consistent with a hypothesis proves that the hypothesis is correct.
The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.
Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.
The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.
So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.
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Jennifers average score and four rounds of the game was 16 points. She scored 18 points in the first round, 12 points in the second round, and 15 points in the third round. How many points did Jennifer score in the fourth round.
Answer:
19 points
Step-by-step explanation:
Let's make the fourth round x.
To find the average, we can use the mean. The mean is all the numbers added up then divided by the total amount of numbers.
18 + 12 + 15 + x ÷ 4 = 16
45 + x ÷ 4 = 16
45 + x = 16 × 4
45 + x = 64
x = 64 - 45
x = 19
Jennifer has to score 19 points to have an average (mean) of 16 points.
can someone please help me i dont even know
Answer:
just know so please give me a good rating
A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41). which are the equations of the asymptotes? y = ±x y = ±x y = ±x y = ±x
The equations of the asymptotes of the given hyperbola are; y = ±(40/9)x
How to Interpret the equation of a hyperbola?We are given;
Vertex at (0,−40)
Focus at (0, 41).
Thus, the equation of the asymptote of the given hyperbola is;
y = ±(40/(√41 - (-40))
y = ±(40/(√81)
y = ±40/9
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Susanna was awarded federal aid that does not have to be repaid. What type of aid does Susanna have?
Group of answer choices
Money from a savings account
A student loan
A grant
Susanna has received a type of federal aid called a grant. Grants are financial assistance provided by the government or other organizations to help individuals pay for their education.
Susanna has been awarded a grant. A grant is a form of financial aid that is given to students who demonstrate financial need, academic achievement, or other eligibility criteria. Unlike loans, grants do not have to be repaid and are essentially free money. Grants can come from various sources, including the federal government, state government, or private organizations.
In Susanna's case, the federal government has awarded her aid that does not have to be repaid. This could be in the form of a Pell Grant, which is awarded to undergraduate students who demonstrate financial need. Pell Grants are the most common type of federal grant, but there are other types of federal grants available as well, such as the Federal Supplemental Educational Opportunity Grant (FSEOG) and the Teacher Education Assistance for College and Higher Education (TEACH) Grant.
Overall, receiving a grant is a great way for students to finance their education without having to worry about the burden of repayment.
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