she should use 2 by 6
Step-by-step explanation:
2 divided by 6 will give 0.3 in 1d.p
5a<2a is a negative or positive
Answer:
Positive
Step-by-step explanation:
5a < 2a
Divide 2 on both sides
5/2a < a
if a car is moving at 52mph, how fast is the car moving in m/s?
**Disclaimer** Hi there! I assumed the unit [ mph ] represents miles per hour and [ m/s ] represents meters per second. The following answer will be according to this understanding. If I am wrong, please let me know and I will modify my answer.
Answer: [tex]\Large\boxed{23~m/s}[/tex]
Step-by-step explanation:
Given information
Speed = 52 mph
Given conversion factors
1 mile ≈ 1609 meters
1 hour = 3600 seconds
Convert the unit from mph to m/s using conversion factors
The basic idea is that you utilize the factors and cancel out unnecessary units
[tex]\dfrac{52~miles}{1~hour} \times\dfrac{1~hour}{3600~seconds} \times\dfrac{1609~meters}{1~miles}[/tex]
Simplify by multiplication
[tex]=\dfrac{52~miles}{3600~Seconds} \times\dfrac{1609~meters}{1~miles}[/tex]
[tex]=\dfrac{52\times 1609~meters}{3600~Seconds}[/tex]
Simplify the fraction
[tex]=\dfrac{83668~meters}{3600~Seconds}[/tex]
[tex]\Large\boxed{\approx23~m/s}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Marissa is selling paintings for $15 each and bracelets for $7 each. Her goal is to sell at least $800 in products, and she must sell at least 60 bracelets. Which of the following combinations will satisfy these constraints?
The first inequality is represented by the purple area seen in the picture and the second inequality by the black area seen in the picture, the solutions set is the region where the two areas overlap each other.
How to find posible solutions from a system of inequalities
In this question we have two inequalities representing constraints that Marissa should satisfy, provided that she wants to make a profit in selling paintings and bracelets.
The first inequality represents the minimum profit required from the sales of paintings (x) and bracelets (y) and the second one represents the minimum number required of sold bracelets. The two inequalities are described below:
15 · x + 7 · y ≥ 800 (1)
y ≥ 60 (2)
Since there are more than one solution, we decided to define a solutions set with the help of graphing tool. The first inequality is represented by the purple area seen in the picture and the second inequality by the black area seen in the picture, the solutions set is the region where the two areas overlap each other.
Remark
The statement is incomplete and such issue cannot be resolved. We decided to modify the statement as follows:
Marissa is selling paintings for $ 15 each and bracelets for $ 7 each. Her goal is to sell at least $ 800 in products, and she must sell at least 60 bracelets. Please show the set of all possible solution that will satisfy these constraints?
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Answer:
26 paintings and 61 bracelets
Step-by-step explanation:
if you do 26x15=390 and 61x7=427
390+427=817
so the answer is 26 paintings and 61 bracelets
also, I took the test so I know its right
7/3=7:
what will seven over three equals seven divide be
Answer:
3(7/3=7:3)Step-by-step explanation:
7/3=7:
what will seven over three equals seven divide be
7/3 is a division (7:3)
so
your answer is :
3
(7/3=7:3)
30 points.
Please quick help
Using translation concepts, the expression for h(x) is given as follows:
[tex]h(x) = \sqrt{x + 4} - 1[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is:
[tex]f(x) = \sqrt{x}[/tex]
For the translations, we have that:
It was shifted 4 units right, hence x -> x + 4.It was shifted 1 unit down, hence y -> y - 1.Then the expression for h(x) is given as follows:
[tex]h(x) = \sqrt{x + 4} - 1[/tex]
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Me and mrs corrino can complete a job in 5 hours if mr corrino works twice as long as mrs corrino if each foes the job alone how long does it take mrs corrubi to complete the job alone
Mrs. Corrubi takes 7.5 hours to complete the job alone.
Directly proportional: as one amount increases, another amount increases at the same rate. Direct variation means when one quantity changes, the other quantity also changes in direct proportion
Inversely Proportional: when one value decreases at the same rate that the other increases. An increase in the quantity A leads to a decrease in quantity B and vice versa.
Let the number of hours taken by Mrs Corrubi to do a particular work be x.
∴ The number of hours taken by Mr Corrubi to do a particular work will be 2x.
So according to the condition,
1/x + 1/2x = 1/5
(2+1)/2x = 1/5
3/2x = 1/5
2x = 15
x = 7.5 hours.
Thus Mrs. Corrubi takes 7.5 hours to complete the job alone.
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Consider the line 4x + 2y = 8.
What is the slope of a line perpendicular to this line?
Answer:
supposed to make the subject y then slope is -2
Can someone help me out please
By just adding the given areas, we conclude that the definite integral is equal to 3.026
How to calculate the definite integral?
The integral will be equal to the sum of the four areas between points a and c.
The areas above the horizontal axis are positive areas, these are A and C.
While the areas below the horizontal axis are negative areas, these are B and D.
Then the definite integral will be:
I = A - B + C - D
Here we know that:
A = 1.311
B = 2.229
C = 5.545
D = 1.601
Replacing that, we conclude that the definite integral is
I = 1.311 - 2.229 +5.545 - 1.601 = 3.026
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Lynn is at a store and wants to buy a new backpack that costs $55. she only has $35 with her, but she has the rest at home. lynn also has a credit card that does not charge her any interest if she pays the balance in full by the end of the month. why might lynn want to wait until she has $55 in cash at the store to purchase the backpack, instead of using her credit card?
Lynn wants to wait because (D) she would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card.
What is a credit card?A credit card is a payment card that is issued to users (cardholders) to allow them to pay merchants for products and services based on the cardholder's incurred debt (i.e., promise to the card issuer to pay them for the amounts plus the other agreed charges). The card issuer (typically a bank or credit union) opens a revolving account and offers the cardholder a line of credit, from which the cardholder can borrow money to pay a merchant or for a cash advance.
The answer to why Lynn wants to wait would be:
The answer will be (D) she would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card. A and B don't make sense, because who cares about what happens to the store's money, and C can't be true because we don't know what kind of a person Lynn is. Most people don't forget to pay their bills.Therefore, Lynn wants to wait because (D) she would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card.
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The complete question is shown below:
Lynn is at a store and wants to buy a new backpack that costs $55. she only has $35 with her, but she has the rest at home. Lynn also has a credit card that does not charge her any interest if she pays the balance in full by the end of the month. why might Lynn want to wait until she has $55 in cash at the store to purchase the backpack, instead of using her credit card?
a. Using a credit would cause the store to lose money because even if she pays back her bill in full, she will still need to pay the credit card company additional dollars for the convenience of borrowing money.
b. Using cash would cause the store to lose a large amount of money because credit card companies offer incentives to stores based on the number of people who use their cards.
c. She might forget to pay the credit card bill, which would make her purchase more expensive due to interest payments and late charges.
d. She would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card.
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at miles per hour. The eastbound train travels at miles per hour. How long will it take for the two trains to be miles apart
Answer:
one hour
Step-by-step explanation:
if they are going the same speed going differnet directions they will be 2 miles apart after one hour
PLS HELP PLS
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
The scale factor from Figure A to Figure B is 4
How to determine the scale factor from Figure A to Figure B?From the question, we have the following statement:
Figure B is a scaled copy of Figure A.
The corresponding side lengths of figure A and figure B are:
Figure A = 10
Figure B = 40
The scale factor from Figure A to Figure B is then calculated as:
Scale factor = Figure B/Figure A
Substitute the known values in the above equation
Scale factor = 40/10
Evaluate the quotient
Scale factor = 4
Hence, the scale factor from Figure A to Figure B is 4
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List all the possible outcomes for spinning the spinner and flipping a fair coin.
The list of the possible outcomes for spinning the spinner with four sectors A, B, C, D, and flipping a fair coin goes as follows,
AH, BH, CH, DH, AT, BT, CT, DT
The possible outcomes for spinning a spinner (assuming that the spinner has four sectors, A, B, C, D) are: A, B, C, D (4 outcomes)
Now, the possible outcomes for flipping a fair coin are: Tales (T) and Heads (H) (2 outcomes)
For each possible outcome of the spinner, there can be two possible outcomes associated, because of the flipping of the fair coin. Hence, the total possible outcomes for spinning the spinner with four sectors A, B, C, D, and flipping a fair coin are 4 × 2, i.e. 8 outcomes.
These possible outcomes are AH, BH, CH, DH, AT, BT, CT, DT.
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Express your answer in scientific notation. 0.00045-2.5x10^-5
Answer:
4.25 × 10^-4
Step-by-step explanation:
0.00045-2.5x10^-5
= (4.5 × 10^-4) - (0.25 × 10¹ × 10^-5)
= (4.5 × 10^-4) - (0.25 × 10^{1-5} )
= (4.5 × 10^-4) - (0.25 × 10^-4)
= (4.5 - 0.25) × 10^-4
= 4.25 × 10^-4
Select the correct answer. the data manager for a state political party gathered data to determine how many citizens would support the party’s senate candidate. he polled citizens in 30 similarly sized senate districts and found a sample mean of 70,438 citizens. statewide data shows that the population standard deviation is 645.3. what is the approximate 90% confidence interval for this situation? a. 70,134 and 70,742 b. 70,207 and 70,669 c. 70,403 and 70,473 d. 70,244 and 70,632
Answer:
D. 70,244 and 70,632
Step-by-step explanation:
Got it right on PLATO/EDMENTUM
70,244 and 70,632 is the approximate 90% confidence interval for this situation.
A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times.
A confidence interval displays the probability that a parameter will fall between a pair of values around the mean.Confidence intervals measure the degree of uncertainty or certainty in a sampling method.They are most often constructed using confidence levels of 95% or 99%.Confidence intervals measure the degree of uncertainty or certainty in a sampling method. They can take any number of probability limits, with the most common being a 95% or 99% confidence level. Confidence intervals are conducted using statistical methods.
Statisticians use confidence intervals to measure uncertainty in a sample variable. For example, a researcher selects different samples randomly from the same population and computes a confidence interval for each sample to see how it may represent the true value of the population variable. The resulting datasets are all different; some intervals include the true population parameter and others do not.
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Solve the given differential equation by using an appropriate substitution. the de is homogeneous. (y2 yx) dx − x2 dy = 0
The solution for the given differential equation is lnlxl = [tex]\frac{-x}{y} +C[/tex]
Given,
[tex](y^{2} +y^{x} )dx - x^{2} dy =0[/tex]
Here,
x = vy, dx = vdy + ydv
y = ux, dy = udx + xdu
Then,
[tex]((ux)^{2} +(ux)x)dx-x^{2} (udx+xdu)=0\\=u^{2} x^{2} dx+ux^{2} dx-x^{2} udx-x^{3} du=0\\=u^{2} x^{2} dx=x^{3} du\\=\frac{x^{2} }{x^{3} } dx=\frac{1}{u^{2} } du[/tex]
Now,
[tex]\int\limits^a_b {\frac{1}{x} } \, dx =\int\limits^a_b {u^{-2} } \, du[/tex]
l[tex]n[/tex]l[tex]x[/tex]l[tex]=\frac{u^{-1} }{(-1)} +C[/tex]
l[tex]n[/tex]l[tex]x[/tex]l[tex]=\frac{-1}{u} +C[/tex]
y = ux
u = [tex]\frac{y}{x}[/tex]
That is l[tex]n[/tex]l[tex]x[/tex]l [tex]=\frac{-x}{y} +C[/tex]
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Please help with 54 :(
Answer:
A is the answer
[tex]x = \frac{1}{48} [/tex]
An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin. Which is the equation of the ellipse in standard form?
Answer:
x^2/ 16 + y^2/4 = 1
Step-by-step explanation:
The major axis is 4 and that goes with the x variable. It is the major axis because 4 is a larger value than 2.
4 x 4 = 16
2 x 2 = 4
The equation of the ellipse in standard form is x² / 16 + y² / 4 = 1.
How to derive the standard form of the equation of the ellipse
In this problem we know the coordinates of a vertex, a co-vertex and the center of an ellipse. Based on this information, we find an ellipse whose major axis is parallel to the x-axis. whose formula in standard form is:
(x - h)² / a² + (y - k)² / b² = 1 (1)
Where:
(h, k) - Center of the ellipsea - Major semiaxis lengthb - Minor semiaxis lengthThe major semiaxis has a length of 4 units and the minor semiaxis has a length of 2 units. If we know that (h, k) = (0, 0), a = 4 and b = 2, then the equation of the ellipse is:
x² / 16 + y² / 4 = 1
The equation of the ellipse in standard form is x² / 16 + y² / 4 = 1.
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pls help with math rn neeedddd
Answer:
40° to the left and 3/2 units down
Step-by-step explanation:
See attached image.
Marika is training for a track race. She start sprinting by 100 yards. She gradually increases her distance, adding 4 yards a day for 21 days. the explicit formula that models this situation is an=100+(n-1)4. how far does seh sprint on day 21
Answer:
180 yards
Step-by-step explanation:
The number of yards she sprints on day 21 can be found by evaluating the formula with n=21.
Solutiona21 = 100 +(21 -1)4 = 100 +(20)(4) = 100 +80 . . . . . use 21 in place of n
a21 = 180
Marika sprints 180 yards on day 21.
Which description best fits this picture?
Answer:
Accurate AND Precise
y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?
The linear equation y = -6x + 2; -12x - 2y = -4 has no solution
Linear equationy = -6x + 2
-12x - 2y = -4
Substitute y = -6x + 2 into (2)-12x - 2y = -4
-12x - 2(-6x + 2) = -4
-12x + 12x -4 = -4
-12x + 12x = - 4 + 4
0 = 0
Solve for xy = -6x + 2
y - 2 = -6x
x = (y - 2) / -6
Substitute into (2)-12x - 2y = -4
-12(y- 2)/ 6 - 2y = -4
(-12y + 24) / 6 - 2y = -4
-2y + 4 - 2y = 4
0 = 0
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What is the greatest common factor of 30, 22, and 8?
Answer:
2
Step-by-step explanation:
just because all three numbers are even
Hope this helps
The greatest common factor of 30, 22, and 8 will be 2.
What is the highest common factor?The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
For example in 6 and 12 6 is the highest common factor.
The factor of 30 ⇒ 2,3,5
The factor of 22 ⇒ 2,11
The factor of 8 ⇒ 2,4
The only common factor among 30,22 and 8 is 2 so it will be the greatest common factor.
Hence "The greatest common factor of 30, 22, and 8 will be 2".
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A sample of disinfecting bleach shows a density of 9.4 lb/gal. If 100 pounds of bleach is required for disinfection, how many gallons must be applied
the number of gallons that must be applied is 94 gallons.
What is density?Density is simply defined as the ratio of the mass to the volume occupied by an object or substance.
It is denoted with rho, 'ρ'
The formula for density is given as;
Density = mass/ volume
From the information given, we have that
density = 9.4 lb/galmass = 100 pounds volume is unknownTo determine the volume, we need to make it the subject from the formula
Volume = density × mass
Volume = [tex]\frac{9. 4}{100}[/tex]
Volume = 0. 094
The number of gallons is given as;
= Volume × 1000
= 0. 094 × 1000
= 94 gallons
Thus, the number of gallons that must be applied is 94 gallons.
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Find the Z-scores that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution.
The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.
In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:
Z=(X-μ)/σ
It is used to measure how many standard deviations the measure is from the mean.
After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.
The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.
Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
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What is the independent variable in the following function?
The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
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A researcher reports that her obtained chi square of -17.56 is significant because it exceeds the critical chi square of -3.841 for an alpha of .05 with 2 degrees of freedom. What mistake has been made
The mistake that the researcher made is that; neither critical nor obtained Chi squares can have negative values
How to check the chi - square statistic?
A chi-square statistic is one way to show a relationship between two categorical variables. In statistics, there are two types of variables: numerical (countable) variables and non-numerical (categorical) variables.
The chi-squared statistic is a single number that tells you how much difference exists between your observed counts and the counts you would expect if there were no relationship at all in the population.
Now, Chi square (χ²) is the sum of a set of squared values, and as such it can never be negative. The minimum chi - squared value would be obtained if each Z = 0 so that χ² would also be 0. There is no upper limit to the χ² value. Similarly, the critical chi square cannot also be negative.
Thus, we can conclude that the mistake that the researcher made is that neither critical nor obtained Chi squares can have negative values
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If a random variable is characterized by (infinitely) uncountable values within any interval, it is known as ________ variable
Answer:
Step-by-step explanation:
i doont know
o trees are growing in a clearing. The first tree is 5.6 feet tall and casts a 4.2-foot shadow. The second tree casts a 42.3-foot shadow. How tall is the second tree to the nearest tenth of a foot?
The second tree is 56.4 ft tall.
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.
Let the length of the tall tree be x. Thus by similarity of triangles we get,
Length of small tree/ Shadow Length of small tree =
Length of Tall tree/ Shadow Length of tall tree
Substituting the values we get,
5.6/4.2 = x/42.3
x = 56.4
Thus the second tree is 56.4 ft tall.
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PLS HELP ASAP....i need to finish this soon
A GDP per capita of $13,000 would correspond to the following corruption score of: B. 42.
What is a scatter plot?A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
Based on the information provided in the table above, we can logically deduce that the situation can be modeled by this linear function:
y = 511x - 8540
Where:
x is the corruption score.
y is GDP per capita in dollars.
How to calculate the corruption score?Based on the model, a GDP per capita of $13,000 would correspond to the following corruption score:
y = 511x - 8540
13,000 = 511x - 8540
511x = 13,000 + 8540
511x = 21,540
x = 21,540/511
x = 42.1 ≈ 42.
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Study island
Need help on this question fast pls help
Answer:
D is correct
Step-by-step explanation:
Since you have 2 parallel lines cut by a transversal, <BAC and <BDE are corresponding angels. Corresponding angles are congruent. You are able to prove that 2 pairs of angles are congruent so the triangles are similar. All of the answers show that the 2 triangles share angle B as the first part of the answer.