Answer:
4
Step-by-step explanation:
Let us plug x in to the equation given that it equals 6.
4(6-5)=
4*1=
4
Hope this helps! :)
Tank A holds 430 liters of liquid. Tank B holds 3.7 * 10^6 milliliters of liquid.
How much liquid do the tanks hold altogether? Express your answer in scientific notation.
Answer:
4130 liters OR 4130000 millileters
Step-by-step explanation:
3.7*10^6 is 3700000 mil
1000mil in one liter
3700000/1000=3700liters
3700+430=4130 liters
For Function 1, the output values are found with the following rule: multiply the input by-3 and then add 4.
The graph shown represents Function 2.
Which statement about the rates of change of the two functions is
true?
A. Function 1 has a greater rate of change than Function 2.
B. Function 1 and Function 2 have the same rate of change.
C. Function 1 has a negative rate of change, and Function 2 has
a positive rate of change.
D. Function 1 has a positive rate of change, and Function 2 has
a negative rate of change.
The statement about the rates of change is (b) Function 1 and Function 2 have the same rate of change
How to determine the statement about the rates of changeFrom the question, we have the following parameters that can be used in our computation:
Function 1:
Multiply the input by-3 and then add 4.
From the above, we have the function to be
f(x) = -3x + 4
For the graph, we have the equation to be (See attachment)
g(x) = -3x + 5
By comparison, the rates of the two functions are
Rates = -3 and -3
Hence, the statement about the rates of change is (b)
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PLS HELP ASAP
Logan earned an 80 on his test. He answered 20 questions correctly. How many total questions were on the test? Round to the nearest tenth if necessary.
Find the equation for the horizontal line that goes through the point V(-5,17)
Answer:
x = -5
Step-by-step explanation:
x = -5 because a horizontal line does not change in y value
Horizontal line that goes through the point V(-5,17) is y=17.
The horizontal line that passing through any point (a,b) is y=b
And it has slope equals to zero.It is parallel to the x-axis in the coordinate plane.So the horizontal line passing through the point is y=17
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3 screenshots!!
giving brai. to whoever answers them all correct :)
Answer:
problem 1. 53/20 problem 2. 24/27. Problem 3. 22/48
Step-by-step explanation:
to solve the first two, the process is similar. For the first one, they can be simplifed back into fraction form and not mixed form, so 1 2/5 can be simplified by multiplying 5 by one then adding it to 2, which gives you 7/5, and the same process for 2 1/2, multiply 2 by two, get 4 add it to one to get 5/2. Now we have 7/5 + 5/2, when we have fractions that we need to add or subtract, but down have the same bottom number, the easiest way to get a answer is to multiply both bottom numbers together then multiply the top number by the opposite bottom number, so 5x4 = 20, 4x7=28, 5x5=25, and we get 28/20 + 25/20 = 53/20. The process for problem two is the same, but just with subtraction and different numbers.
for problem three, the process is almost the same, but the steps differ. The bag is made up of R G and P counters, 3/8 of them are red, 1/6 are green, and the rest are purple because nothing else is in the bag. So another way of saying this is 3/8 + 1/6 + purple = Full Amount in bag. But now we need purple, so we know 1/2 one half and so does 2/4, and since we have fractions we can find the amount in the bag by adding them, 3/8 + 1/6 = 26/48, and we know the full bag is 1/1 or 48/48, and fhe only one left is purple, so to get purple, we subtract 48/48 from 26/48 and get 22/48 which is the amount of purple.
Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find f(10, 6) and f(10.1, 6.05) and calculate Az. f(10, 6) = 9.6017 f(10.1, 6.05) = 9.8266 Az = -2245 X (b) Use the total differential dz to approximate Az. dz = .1942 X
The approximation of Az using the total differential dz is Az ≈ 2021.4.
To find f(10, 6), we plug in x = 10 and y = 6 into the given function:
f(10, 6) = 10 cos(6) ≈ 9.6017
To find f(10.1, 6.05), we plug in x = 10.1 and y = 6.05 into the given function:
f(10.1, 6.05) = 10.1 cos(6.05) ≈ 9.8266
To calculate Az, we use the formula:
Az = [(f(10.1, 6.05) - f(10, 6)) / f(10, 6)] × 10000
Plugging in the values we found above, we get:
Az = [(9.8266 - 9.6017) / 9.6017] × 10000 ≈ -2245
To use the total differential dz to approximate Az, we use the formula:
dz = ∂f/∂x dx + ∂f/∂y dy
where ∂f/∂x and ∂f/∂y are the partial derivatives of f with respect to x and y, respectively. We evaluate these partial derivatives at (10, 6) and use dx = 0.1 and dy = 0.05 (the changes in x and y values from (10, 6) to (10.1, 6.05)):
∂f/∂x = cos(y) ≈ -0.2794
∂f/∂y = -x sin(y) ≈ -5.3211
So,
dz = (-0.2794)(0.1) + (-5.3211)(0.05) ≈ 0.1942
To approximate Az using dz, we use the formula:
Az ≈ (dz / f(10, 6)) × 10000
Plugging in the values we found above, we get:
Az ≈ (0.1942 / 9.6017) × 10000 ≈ 2021.4
Therefore, the approximation of Az using the total differential dz is Az ≈ 2021.4.
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the distance a jet travels (d) varies directly with the number of hours (t) flown. a jet travels 1,350 miles in three hours write an equation that represents this direct variation
Answer:
The answer is 3,150
Step-by-step explanation:
You multiply 1350 with 7 and divide it by 3 and you get 3,150 as your answer.
s=450t is the equation that represents this direct variation.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Given that the distance a jet travels (d) varies directly with the number of hours (t) flown.
A jet travels 1,350 miles in three hours.
Distance is one thousand three hundred fifty and the time is three hours.
The speed is 1350/3 which is equal to four hundred fifty.
We need to write the equation that represents this direct variation.
s=450t
Hence, s=450t is the equation that represents this direct variation.
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If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false
Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.
ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.
ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.
We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
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please help. i need this done today
Answer:
herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final
Find the slope of the line passing through (0,-5) and (-4, 7),
Answer:
m = -3
Step-by-step explanation:
The slope formula is y2 - y1 / x2 - x1
7 - -5 = 7 + 5 = 12
-4 - 0 = -4
12 / -4 = -3
I hope this helps :))
Let A be an n × n matrix. Write statements from the Invertible Matrix
Theorem that are each equivalent to the statement "A is invertible". Use
the following concepts, one in each statement:
(1). Nul A (2).|A| (3). basis (4). linearly independent (5). RREF
**TRUE OR FALSE**
1.) The set of columns of a 3 × 5 matrix is linearly dependent.
2.) A linear transformation T : Rn → Rm is completely determined by its effect on the columns of the n × n identity matrix.
3.) If each row of matrix A has a pivot, then the set of rows of matrix A is linearly dependent.
4.) Let T : Rn → Rm be a linear transformation, with A its standard matrix. T is one-to-one if and only if A has a pivot in each row.
5.) The set of columns of a 5 × 3 matrix is linearly dependent.
6.) If A is a 3 × 2 matrix, then the transformation x → Ax cannot be one-to-one.
According to the question 1.) False - 3 × 5 matrix columns can be linearly independent. 2.) True , 3.) True , 4.) True , 5.) True , 6.) True - 3 × 2 matrix transformation not one-to-one.
1.) True. If the set of columns of a 3 × 5 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
2.) False. The effect of a linear transformation on the columns of the n × n identity matrix only determines the image of the standard basis vectors. It does not completely determine the entire transformation.
3.) False. If each row of matrix A has a pivot, it means that the rows of A are linearly independent, not linearly dependent.
4.) True. If A has a pivot in each row, it means that the rows of A are linearly independent, and the linear transformation T : Rn → Rm represented by A is one-to-one.
5.) True. Similar to statement 1, if the set of columns of a 5 × 3 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
6.) True. If A is a 3 × 2 matrix, it means that the transformation x → Ax maps from R2 to R3. Since the dimensions of the domain and codomain are different, the transformation cannot be one-to-one.
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If 7x + 3 = 24, what is the value of 5 - 4x?
Answer:
Step-by-step explanation:
7x + 3= 24
7x= 24-3
7x= 21
x= 21/7
x= 3
Then we have that
5-4x
5-4(3)
5-12
Answer= -7
Dean is helping his mom make a fence for their rectangular vegetable garden. First, they measure the sides and find that it is 20 feet long and 40 feet wide. Then, they buy fencing from the hardware store. If the store sells fencing in 4-yard packages, how many packages do Dean and his mom need?
Answer:
10 packages
Step-by-step explanation:
To find the number of 4 yard packages for the fencing, we need to find the perimeter of the fence.
Perimeter = 2*(20 + 40)
Perimeter = 2*60 = 120 feet
*It is important to note that the perimeter is in feet and the packages are in yards*
4 yards = 12 feet
120 / 12 = 10 packages
Given the points (-3,5) & (-4,0), what is the equation of the line? *
Answer:
Y=5x+20
Step-by-step explanation:
what type of query will allow you to see statistics by category?
To see statistics by category you would use an aggregate query or a group by query.
To see statistics by category, you would typically use an aggregate query or a group by query.
These types of queries allow you to group data based on a specific category and calculate statistics or summaries for each category.
In SQL, you can use the GROUP BY clause to group data based on a specific column or columns. You can then use aggregate functions like COUNT, SUM, AVG, MAX, MIN, etc., to calculate statistics for each category.
Depending on the specific database management system or programming language you are using, the syntax may vary slightly, but the concept of using an aggregate or group by query remains the same.
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A birds nest is 12 feet above the ground. A mole's den is 12 inches below the ground. What is the difference in height of these two positions?
A. 24 In
B. 11 Ft
C. 13 Ft
D. 24 Ft
Answer:
C - thirteen feet
Step-by-step explanation:
12 feet plus 1 foot is 13
Avery is the oldest of four siblings whose ages are consecutive odd integers. If the sum of their ages is 112, find Avery's age.
Four siblings whose ages are consecutive odd integers. If the sum of their ages is 112 then The eldest sibling is 31, followed by siblings 29, 27, and 25.
What is consecutive integers ?
Consecutive means in order. Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.
Let x = the 1st sibling
Let x -2 = the second sibling
Let x -4 = the third sibling
Let x-6 = the fourth sibling.
If you add the four siblings together they equal 112
(x) +(x-2)+(x-4)+(x-6) = 112 Combine like terms
4x - 12 = 112
add 12 from both sides
4x - 12 + 12 = 112 + 12
4x = 124
divide 4 both side :
x = 31
The eldest sibling is 31, followed by siblings 29, 27 and 25
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Customers per day: 98, 87, 93, 82, 101, 99, 97, 97, 91
Find the mean to the nearest tenth:
\(\large\rm{Problem:}\)
Customers per day:
98, 87, 93, 82, 101, 99, 97, 97, 91
Find the mean to the nearest tenth:
\(\large\rm{Solution:}\)
Mean = \( \tt \frac{sum \: of \: data}{number \: of \: data}\)
\( \tt \frac{98 + 87 + 93 + 82 + 101 + 99 + 97 + 97 + 91}{9} = \frac{845}{9} = \green{93.89}\)
Therefore, the mean is 93.89
#CarryOnLearningmultiply (x – 3)(4x 2) using the foil method. select the answer choice showing the foil method products.
The correct answer is (4x^3 - 8x^2 )
Solve by using Foil's Method
Multiply (x - 3)(4x^2)
Begin, by multiplying together, the first terms of binomial
= x * 4x^2 = 4x^3
Now, multiply the last term of binomial.
= -3 * 4x^2 = -12x^2
Sum up the partial products starting from the first to last product from the first to last product and collect it:
=(4x^3 - 8x^2 )
Now, Let us know
What is Foil's Method ?
FOIL a mathematical series of steps used to multiply two binomials.
By definition we have the meaning of FOIL is given by:
F: First
O: Outer
I: Inner
L: Last
Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).
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Select the correct answer from each drop-down menu. ∆abc has side lengths of 10 units, 20 units, and 24 units. ∆xyz is similar to ∆abc, and the length of its longest side is 60 units. the perimeter of ∆xyz is units. if the height of ∆abc, with respect to its longest side being the base, is 8 units, the area of ∆xyz is square units.
The perimeter of triangle ∆XYZ must measure 135 units, while its area amounts to 600 square units.
Since ∆ABC possesses side lengths of 10 units, 20 units, and 24 units, and ∆XYZ is similar to ∆ABC but with the length of its longest side being 60 units, we can apply the principle of similarity to determine the perimeter and area of ∆XYZ.
The perimeter of ∆XYZ:
To find the scale factor between two similar triangles, you can take the ratio of the corresponding sides. In this case, the longest side of ∆ABC is 24 units, and the longest side of ∆XYZ is 60 units.
Scale factor = (Longest side of ∆XYZ) / (Longest side of ∆ABC)
Scale factor = 60 / 24
Scale factor = 2.5
Now, we can determine the other two sides of ∆XYZ using the same scale factor:
The shortest side of the ∆XYZ = (Scale Factor * Shortest side of ∆ABC)
The shortest side of the ∆XYZ = ((5/2) * 10 units)
= 25 units
Middle side of ∆XYZ = Scale Factor * Middle side of ∆ABC
Middle side of ∆XYZ = (5/2) * 20 units
= 50 units
Now, calculate the perimeter of ∆XYZ:
The perimeter of ∆XYZ = Sum of all three sides
Perimeter of ∆XYZ = 60 units + 25 units + 50 units
= 135 units
Therefore, the perimeter of ∆XYZ is 135 units.
Area of ∆XYZ:
Because ∆XYZ and ∆ABC are similar, their corresponding side ratios are equal to the scale factor, which is 5/2.
Now,
Given the triangle ∆XYZ, it is established that the ratio of their areas is equivalent to the square of the scale factor when determining the area.
Area of ∆XYZ / Area of ∆ABC = (Scale Factor)²
Area of ∆XYZ / Area of ∆ABC = (5/2)²
Area of ∆XYZ / Area of ∆ABC = 25/4
Since we're given the height of ∆ABC with respect to its longest side, we can find the area of ∆ABC:
Area of ∆ABC = (1/2) * Base * Height
Area of ∆ABC = (1/2) * 24 units * 8 units
= 96 square units
Now, calculate the area of ∆XYZ:
Area of ∆XYZ = (Area of ∆ABC) * (Area ratio)
Area of ∆XYZ = 96 square units * 25/4
Area of ∆XYZ = 600 square units
Therefore, the area of ∆XYZ is 600 square units.
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What is the value of X? Enter your answer in the box.
Answer:
x =4
Step-by-step explanation:
First we need to find the length of RT
Since the triangle on the left (RST) is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 2 sqrt(3) / RT
RT sin 60 = 2 sqrt(3)
RT = 2 sqrt(3) / sin 60
RT = 2 sqrt(3) / (sqrt(3)/2)
RT = 4
Now we can find x
Since the triangle on the right (QRT) is a right triangle, we can use trig functions
tan theta = opp /adj
tan 45 = x/ RT
tan 45 = x / 4
4 tan 45 = x
4 (1) = x
4 =x
Help plsss hehshshisieieirirj for brainly pls
Answer:
4 yards
Step-by-step explanation:
11 1/2 feet is equal to 3.833333 and 4 yards is more than that.
Answer:
11 1/2 ft. < 4 yd
Step-by-step explanation:
I'm not sure if thats what your asking.
But 1 yard is 3 ft, so 4 yards is equal to 12 ft. Therfore 11 1/2 ft. < 4 yd.
The trapezoid below has an area of 1,575 cm2.
pg616510
Which equation could you solve to find the height of the trapezoid?
A
850.5h = 1,575
B
1,701h = 1,575
C
45h = 1,575
D
90h = 1,575
The equation to solve the height of the trapezoid is 45h = 1,575
Given data ,
Let the area of the trapezoid be A
Now , the value of A = 1,575 cm²
And , the Top(base2) = 63cm and Bottom(base1) = 27 cm
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
On simplifying , we get
1,575 = (63 + 27) / 2 x h
1575 = 45h
Hence , the equation is 1575 = 45h
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The complete question is attached below :
The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?
A 850.5h = 1,575
B 1,701h = 1,575
C 90h = 1,575
D 45h = 1,575
Top(base2) = 63 cm
Bottom(base1) = 27 cm
You and a friend are starting a computer repair business. You estimate that yourexpenses are $500 per week.Select a reasonable average number of dollars you would expect to spend(expense) on replacement parts for each computer you repair. Then decide on anaverage fee that you will charge for each computer you repair (income). Let xrepresent the number of computers you repair each week.Write a linear equation that describes your total weekly expenses.Write a linear equation that describes your total weekly income.
Let:
E = Expenses
I = Income
x = number of computers you repair each week
a = average fee that you will charge for each computer you repair
b = cost of replacement parts for each computer
\(\begin{gathered} E=bx \\ 500=bx \end{gathered}\)Let's assume you repair 30 computers per week:
\(\begin{gathered} 500=bx \\ x=30 \\ 500=b(30) \\ b=\frac{500}{30} \\ b=16.67 \end{gathered}\)--------------------------------------------------
Now, since the incomes must be greater than the expenses:
\(\begin{gathered} I=ax \\ I>E \\ so\colon \\ ax>500 \\ \text{let:} \\ x=30 \\ a>\frac{500}{30} \\ a>16.67 \\ a=17 \end{gathered}\)A sample with a mean of m = 40 and a variance of s2 = 20 has an estimated standard error of 1 point. how many scores are in the sample? group of answer choices 4 5 20 21
The correct option is 20.
The score found for the sample is 20.
What is Standard error?A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.
Now, according to the question;
Sample mean; \(\bar{x}=40\)
Sample variance; \(s^{2}=20\)
Thus, \(s=\sqrt{20}=4.47\)
Standard error SE = 1
The amount of scores with in sample must be determined here.
The standard error formula is as follows:
\(S E=\frac{s}{\sqrt{n}}\)
We might rearrange the formula as follows:
\(\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}\)
Substituting the values;
\(\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}\)
The sample's number of scores n = 19.98 = 20 (round up)
Therefore, the scores are in the sample is 20.
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Janet is thinking of a two-digit positive whole number. It can be found by using n>56−22 , where n stands for Janet's number.
What are 3 numbers that could be Janet's number?
Explain why those numbers are possible
The numbers that are possible for Janet's number are 335, 36, and 37.
We start by finding the value of n using the equation n > 56 - 22. Solving this equation, we get n > 34.
So, Janet's number must be greater than 34, and it must be a two-digit positive whole number. Based on this, we can conclude that the following numbers are possible for Janet's number:
1. 35
2. 36
3. 37
These numbers are possible because they meet the criteria of being two-digit positive whole numbers and greater than 34.
Hence, the required three numbers are 35, 36, and 37.
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Which expression is equivalent to (10 7r − r2) (−6r2 − 18 5r)?
Answer
6r^4-330r^3-6300r^2
Step-by-step explanation:
c(1)=−20
c(n)=c(n−1)+10
Find the second term in the sequence.
Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
GIVING 50 POINTS, BRAINLYEST, 5 STARS, AND THANKS IF YOU ANSWER CORRECTLY!!!
A coin is flipped at the start of every game to determine if Team A (heads) or Team B (tails) will get the ball first.
Part A: Find the theoretical probability of a fair coin landing on heads. (2 points)
Part B: Flip a coin 15 times and record the frequency of each outcome. (4 points)
Part C: Determine the experimental probability of landing on heads. (4 points)
Part D: Compare the theoretical and experimental probabilities. Explain your answer. (2 points)
can someone please help me with number 8?!
Answer:
2
Step-by-step explanation:
Answer:
B= 1.5
Step-by-step explanation: