D. Directions: Solve the following grocery problem.
Catherine needs some ingredients for her cake. She bought 3 dozen eggs
at $2 each, 2 bags of flour at $4 each, and 1 jug of milk at $3. How much
would it cost Catherine for her ingredients? Show your work.
Answer:
17$
Step-by-step explanation:
(3 * 2)+ (2 * 4) + (1*3) = 17$
What is 8 x 8 x 8 in exponential form
Answer:
10^3
Step-by-step explanation:
103 is read as “10 to the third power” or “10 cubed.” It means 10 • 10 • 10, or 1,000.
82 is read as “8 to the second power” or “8 squared.” It means 8 • 8, or 64.
54 is read as “5 to the fourth power.” It means 5 • 5 • 5 • 5, or 625.
b5 is read as “ b to the fifth power.” It means b • b • b • b • b. Its value will depend on the value of b.
The exponent applies only to the number that it is next to. So in the expression xy4, only the y is affected by the 4. xy4 means x • y • y • y • y.
If the exponential expression is negative, such as −34, it means –(3 • 3 • 3 • 3) or −81.
If −3 is to be the base, it must be written as (−3)4, which means −3 • −3 • −3 • −3, or 81.
Likewise, (−x)4 = (−x) • (−x) • (−x) • (−x) = x4, while −x4 = –(x • x • x • x).
Can someone tell me what the slope is ?
Answer:
-5/4
Step-by-step explanation:
rise/run = -5/4
hope this helps <3
Answer:
-5/4
calculator lol (and rise over one)
Which equation could represent the relationship shown in the scatter plot?
A: y=−3/4x+10
B: y=−3x−2
C: y=−2/3x+1
D: y=9x−1/2
Answer:
A
Step-by-step explanation:
Use POE, none of the answer makes any sense
Answer: The correct answer would be A
Step-by-step explanation:
This question asks us what equation could represent the scatter plot. While we may not be looking for an exact line of fit we want one that can best represent the data that we have. While I would highly recommend graphing each equation as it would give you a much greater understanding of the material you can also piece together a correct answer just by looking at the equations. First of all, by looking at the graph we can tell that the slope is negative because as we progress along the x axis the values on the y axis get lower and lower meaning that we have a downward sloping line. This immediately narrows out D because we can see that there is no - sign before the 9x which represents the slope. We can also narrow out B right away as the slope is too extreme for our scenario. A slope of -3 means that it would have to be a lot more vertical than we see represented in this scatter plot. -3 means that the line would have to go down 3 units for every 1 unit it horizontally moves if that makes sense. Now we are left with two possible answer choices, A and C. We can now look at the y intercept point of these equations to determine the best answer. The y intercept is the point at which the line crosses the y axis. C has a y intercept of 1 and we see the scatter plot points congregate much higher on the y axis than 1 so that rules out that answer leaving us with A! Just to double check our answer we know a slope of -3/4x seems reasonable based on the previous information and we can certainly see that a y intercept of 10 would make sense! I hope this has been of use to you and please do not hesitate if you have anything you would like me to elaborate on :) Have a wonderful rest of your day!
8 - 4a = -2a
7th Grade Linear Questions
Answer:
a = 4
Step-by-step explanation:
So your goal here is to get the variable on just one side, so add 4a to both sides. This cancels out the 4a on of of the sides and puts a on the other side. The new equation is 8 = -2a + 4a. Combine like terms to get 8 = 2a. Divide both sides by 2 to get a = 4. You can check your work by replacing a with 4:
8 - 4(4) = -2(4)
8 - 16 = -8
-8 = -8
Since the final result is true, (-8 does equal -8,) a = 4.
11. f(x) = 3
Domain:
Range:
x-intercept:
y-intercept:
Answer:
domain: (-∞,∞)
range: y=3
no x intercept
y intercept = (0,3)
Select the graph that represents two quantities in a proportional relationship.
Answer:
The answer is D
Step-by-step explanation:
The Line is going up at the same rate, continuesly, that is what makes it proportional.
COME HERE IF U KNOW HOW TO ROUND
Round to the nearest one:
850,265.2
Answer:
850265
Step-by-step explanation:
The goal of building one-to-many relationships between tables is to minimize _____ data. A. misspelled B. rarely used C. numeric D. redundant
The goal of building one-to-many relationships between tables is to minimize redundant data.
Data redundancy is a regular occurrence in many businesses and occurs when an identical piece of data is stored in two or more different locations. As more businesses switch from using segregated data to a central repository, they discover that their database is full of inconsistent duplicates of the same entry. Understanding how to effectively manage and track data redundancy can help your business avoid long-term inconsistency problems, even though it can be difficult to reconcile — or even benefit from — redundant data entries.
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The goal of building one-to-many relationships between tables is to minimize redundant data.
Redundant data refers to data that is duplicated across multiple tables, which can lead to data inconsistencies and
increase the amount of storage space required.
By creating one-to-many relationships between tables, data is only stored once in the database, and each instance of
the data in other tables refer back to the original source, reducing the need for redundant data storage.
Therefore, The goal of building one-to-many relationships between tables is to minimize redundant data.
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Really hard geometry problems. Please help!
Answer: For #3 the answer is 48 degrees, #4 is 70 degrees
Step-by-step explanation:
3. CGA and BGD are verticle angles which means they are congruent, and (2x-10)+(x+4)+(x+10) is 180. Which gives you X=44, then you substitute x into x+4 which gives you 48.
4. CEB and BED are supplementary which means they make up 180. BED and CEA are verticle angles which means they are congruent. We know CEB is 110 which means BED is 70 because 180-110=70. BED and CEA are verticle angles which means CEA is also 70 degrees
Answer:
i think #3 is 93 and #4 is 70
Step-by-step explanation:
a full circle is equal to 360
for #3, i used the equation (2x-10) + (x+4) + (x+10) = 360
combine all like terms and get 4x + 4 = 360
subtract 4 from both sides
4x + 4 = 360
4x = 356
divide 4 from both sides
x = 89. from here put 89 where x is . angle BGD and angle CGA are the same so 89 + 4 = 93
for #4, use the equation 45 + 3x - 19 = 110
combine like terms and get 26 + 3x = 110
subtract 26 from both sides and then divide by 3
3x = 84
x = 28
place 28 where x is and find the matching angle which is 70.
HOPE THIS HELPS!!
I JUST NEED THE ANSWER!!!
Answer:
$10
Step-by-step explanation:
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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Sadie bought 40 lbs of clay for her art projects. she used 16.4 lbs to make a sculpture, and 0.91 lbs for each mug. how many mugs did sadie make if she had 11.77 lbs of clay left over?
Sadie made approximately 13 mugs using 0.91 lbs of clay per mug, with a total of 11.77 lbs of clay remaining after making a sculpture using 16.4 lbs of clay.
To find the number of mugs Sadie made, we need to determine the amount of clay used for the mugs and then divide it by the amount used per mug.
The total amount of clay Sadie used is 16.4 lbs for the sculpture. Let's denote the number of mugs Sadie made as "m". Since each mug uses 0.91 lbs of clay, the amount of clay used for the mugs is 0.91 * m lbs.
The remaining clay Sadie has is 11.77 lbs. We can now set up an equation based on the information:
40 lbs (total clay) - 16.4 lbs (clay for sculpture) - 0.91 * m lbs (clay for mugs) = 11.77 lbs
Simplifying the equation:
40 - 16.4 - 0.91m = 11.77
23.6 - 0.91m = 11.77
Next, we isolate the variable "m" by subtracting 23.6 from both sides:
-0.91m = -11.83
Finally, we solve for "m" by dividing both sides by -0.91:
m ≈ 13
Therefore, Sadie made approximately 13 mugs.
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suppose you have a sample of 29 women over 35 who have not previously given birth who exercise daily, and who have an average duration of labor of 17.3 hours and a sample variance of 37.2 hours. you want to test the hypothesis that women over 35 who have not previously given birth and who exercise daily have a different duration of labor than all women over 35 who have not previously given birth.
There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.
Standard error sm = 1.634
Test statistic t = 1.102
P-value = 0.28
This is a hypothesis test for the population mean.
The claim is that women who exercise daily have a significantly different duration of labor than all women.
Then, the null and alternative hypothesis are
\(H_{0}\) : μ=16
\(H_{0}\) : μ≠ 16
The significance level is 0.05.
The sample has a size n=29.
The sample mean is M=17.8.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√77.4=8.8.
The estimated standard error of the mean is computed using the formula:
\(s_{M}\) = \(\frac{s}{\sqrt{n} }\) = \(\frac{8.8}{\sqrt{29} }\)= 1.634
Then, we can calculate the t-statistic as
t=(M-μ)/(s/\(\sqrt{n}\))=(17.8-16)/1.634)=1.102
The degrees of freedom for this sample size are:
df=n-1=29-1=28
This test is a two-tailed test, with 28 degrees of freedom and t=1.102, so the P-value for this test is calculated as (using a t-table):
\(P_{value}\)=2.P(t≥1.102)=0.28
As the P-value (0.28) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women
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does. Anyone get a and b please help I’ll mean a lot
Answer:
5x + 190 = 300
\(\frac{300-190}{5}\)
Step-by-step explanation:
The equation
5x + 190 = 300 helps us to figure out how many minutes it will take for the tank to be empty.
5x + 190 = 300 Subtract 190 from both sides
5x + 190 - 190 = 300 - 190
5x = 110 Divide both sides by 5
\(\frac{5x}{5}\) = \(\frac{110}{5}\)
x = 22
It will take 22 minutes for the tank to be empty.
The five marathon runners weigh an average weight of 92 pounds, Nicole weighs 89 pounds, Jon weighs 95 pounds, Jenny and Kim weigh 90 pounds each, How much does Jordin weigh?
Answer:
Jordin weighs 96 pounds
Step-by-step explanation:
The Mean Value of a Data Set
The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:
\(\displaystyle \bar x=\frac{\sum x_i}{n}\)
Where xi is the value of each data and n is the total number of values.
We are given the average weight of n=5 marathon runners:
\(\bar x=92\)
Multiplying the formula by n and expanding the sum:
\(n\bar x=\sum x_i=x_1+x_2+x_3+x_4+x_5\)
We are given the weighs of four of the runners:
\(5*92=89+95+90+90+x_5\)
\(460=364+x_5\)
Solving for x5:
\(x_5 = 460-364=96\)
Jordin weighs 96 pounds
-Write 4.82 as a mixed number.
Write 7.7 as a mixed number.
OMG I NEED HELP i will give 10 points
Answer:
1)4 41/50
2)7 7/10
I need help with this question please and thank you
Answer:
Step-by-step explanation:
Using SOHCAHTOA Tangent is TOA
tangent = opposite/adjacent
Opposite of C is 4
Adjacent to C is 3
tan(C)=4/3
cos(x)=2cos^2(x)-1 0≤x≤2π
Answer:
\(x=0,~x=\frac{2\pi }{3},\:x=\frac{4\pi }{3},~x=2\pi\)
Step-by-step explanation:
The given equation:
\(\cos(x)=2\cos^2(x)-1\)
Let \(\cos(x)\) be \(y\):
\(y=2y^2-1\)
Rewrite as:
\(2y^2-y-1=0\)
After solving quadratic equation, the solutions are:
\(y=1~~~~y=-\frac{1}{2}\)
Substitute back \(\cos(x)\), it follows:
\(\cos(x)=1~~~~\cos(x)=-\frac12\)
For the first equation, the solution is \(x=0\) and \(x=2\pi\).
For the second equation, general solution is:
\(x=\frac{2\pi }{3}+2\pi n,\:x=\frac{4\pi }{3}+2\pi n\)
But for the given interval, we must substitute n=0 into the equations so that the values of x must be within interval. Therefore:
\(x=\frac{2\pi }{3},\:x=\frac{4\pi }{3}\)
So, the answers are:
\(x=0,~x=\frac{2\pi }{3},\:x=\frac{4\pi }{3},~x=2\pi\)
Somebody pls help I have a math finals tomorrow it is 11:30 pm and I can't sleep because I am so nervous and worried
You'll do just fine, just make sure to study and have some sleep, okay?
-4/5x=12
Pls HURRRRRRYYYYYYYYYYY
Answer:
The answer is -15
Plz help!! I’m a bit confused
Simplify the following: 2y + 9 + 8y + 7
Answer:
10y + 16
Step-by-step explanation:
Given
2y + 9 + 8y + 7 ← collect like terms
= (2y + 8y) + (9 + 7)
= 10y + 16
a section in a stadium has 24 seats in the first row, 29seats in the second row. increasing by 5 seats each row for a total of 34 rows. how many seats are in this section of the stadium
Answer:
The answer is 2,142.
Step-by-step explanation:
Mark me brialianist of its right
Elijah went to the store and bought a pair of shoes for $44 and seven pairs of pants. He spent $96 in total. How much did each t-shirt cost? Help plssss
The equation s + 7p = 96 best represents and cost of one pair of paint is $7.428.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while setting up or constructing a linear equation to fit a real-world application.
Let's suppose the cost of one pair of shoes = S
Cost of one pair of paint = P
Total spent = cost of paint + cost of shoes
7P + S = 96
Given ,S = $44
7P + 44 = 96
7P = 52
P = $7.428
Hence "The equation s + 7p = 96 best represents and cost of one pair of paint is $7.428".
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Given question is incorrect, the correct question follows;
Elijah went to the store and bought a pair of shoes for $44 and seven pairs of pants. He spent $96 in total. How much did each pair of paint cost? Help plssss
the function v(r) models the volume of a basketball that is deflating due to a puncture. if v(r) is measured in cm3 and r is measured in cm, what are the units of v ″(r)?
The units of v''(r) will be cubic centimeters per square centimeter, or \((cm^3/cm^2)\).
The second derivative of a function represents the rate of change of the first derivative, or the rate of change of the rate of change of the original function.
In this case, the function v(r) models the volume of a basketball, which is measured in cubic centimeters \((cm^3)\). The independent variable r is measured in centimeters (cm).
The first derivative of v(r) with respect to r is, which represents the rate of change of the volume with respect to the radius, and has units of \(cm^2\) (cubic centimeters per centimeter).
The s\((cm^3/cm^2).\)second derivative of v(r) with respect to r is v''(r), which represents the rate of change of the first derivative, or the rate of change of the rate of change of the volume with respect to the radius. The units of v''(r) will be \(cm^-1\), or the inverse of the units of the first derivative, which is \((cm^3/cm^2)\).
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HELPPPPP PLEASE. PLEASE TELL ME THE BLANKS IN ORDER.
please help this is 244 points of my grade I've already tried -4/3 on the one equation and it didn't work and I know slope formula but for some reason I'm struggling just please help I need answers if you answers you get 14 point but please give me the right answer's
Answer:
First Picture: Slope = 1
Second Picture: y= -3/2x - 3
Third Picture: Connor's rate of change is 10. Pilar's rate of change is 8.
Step-by-step explanation:
What is 6 divided by 3/5 in Khan academy?
Answer:
10
Step-by-step explanation:
6*5/3 = 30/3
simplify 30/3 = 10
High Hopes
Barrii
find the local minimum of and local maximum of values for the function: f ( x ) = { − x , x < − 1 2 − x 2 , x ≥ − 1
The local minimum of the of the function f(x) = {−x, x < −1} 2 − x2, x ≥ −1 is f(-1) = -1 and the local maximum of the function f(x) = {−x, x < −1} 2 − x2, x ≥ −1 is f(0) = 0.
The local minimum of the function f(x) = {−x, x < −1} 2 − x2, x ≥ −1 occurs when x = -1. This is because when x = -1, the value of the function is f(-1) = -1. This is the lowest the function can get since the function is decreasing for x < -1 and increasing for x > -1.
The local maximum of the function f(x) = {−x, x < −1} 2 − x2, x ≥ −1 occurs when x = 0. This is because when x = 0, the value of the function is f(0) = 0. This is the highest the function can get since the function is increasing for x < 0 and decreasing for x > 0.
Therefore, the local minimum of the function f(x) = {−x, x < −1} 2 − x2, x ≥ −1 is f(-1) = -1 and the local maximum of the function f(x) = {−x, x < −1} 2 − x2, x ≥ −1 is f(0) = 0.
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