Answer:
It's not a function because the graph is not a straight line. Functions go in a line consistently such as up 2 and over 1.
What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)
Answer:
y = -2x - 3
Step-by-step explanation:
-solve for y: y = 1/2x + 2
-perpendicular equals opposite slope: -2
-plug in the point: (1) = -2(-2) + b
1 = 4 + b
b = -3
put it all together: y = -2x - 3
80 divide by 6 help me now!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:13.33
Step-by-step explanation:
A triangle has angle measures of 109∘ and 14∘. What is the measure of the third angle? ( will mark brainliest )
Answer:
57∘
Step-by-step explanation:
180-109-14=57
Use Trigonometric substitution to eliminate the roots 1.1. 164+2 + 1 Use Trigonometric substitution to eliminate the roots 1.1. V64+2 + 1 1.2. V4z2 – 49
To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.
1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:
V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49
We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:
V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)
Here is a more detailed explanation of the substitution:
In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.
When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3
In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.
When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)
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Lindsey bought a car for $9,000. The sales tax is 6.5%. How much would Lindsey pay in total?
Answer: 9,585
Step-by-step explanation:
Answer:
$9,585.00
6.5x9000 over 100
Unit 8: Right Triangles & Trigonometry Homework 6: Trigonometry Review
For solving this question, you need to apply trigonometric ratios and/or Pythagoras Theorem for each of the right triangles.
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem (\(hypotenuse^2=(side_1)^2 + (side_2)^2\)), it is possible finding angles or sides.
The main trigonometric ratios are presented below.
\(sin(x)=\frac{opposite\,side}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\,side}{hypotenuse}\\ \\ tan(x)=\frac{sin(x)}{cos(x)}= \frac{opposite\,side}{hypotenuse}* \frac{hypotenuse}{adjacent\,side}= \frac{opposite\,side}{adjacent\,side}\)
Triangle 1\(hypotenuse^2=(side_1)^2 + (side_2)^2\\ \\ 29^2=20^2+s^2\\ \\ 841=400+s^2\\ \\ s^2=441\\ \\ s=\sqrt{441}=21\)
For angle D you will find:
\(sin(D)=\frac{opposite\,side}{hypotenuse}=\frac{20}{29} \\ \\ cos(D)=\frac{adjacent\,side}{hypotenuse}=\frac{21}{29} \\ \\ tan(D)=\frac{sin(D)}{cos(D)}= \frac{opposite\,side}{adjacent\,side}=\frac{20}{21}\)
For angle E you will find:
\(sin(E)=\frac{opposite\,side}{hypotenuse}=\frac{21}{29} \\ \\ cos(E)=\frac{adjacent\,side}{hypotenuse}=\frac{20}{29} \\ \\ tan(E)=\frac{sin(E)}{cos(E)}= \frac{opposite\,side}{adjacent\,side}=\frac{21}{20}\)
Triangle 2The question gives an angle (62°) and the adjacent side (25) from the angle 62° of the right triangle. Therefore, you can find x from the trigonometric ratio of tan (62°):
\(tan(62^{\circ \:})= \frac{opposite\,side}{adjacent\,side}=\frac{x}{25}\\ \\ \tan \left(62^{\circ \:}\right)=1.881 \\ \\ Then,\\ \\ 1.881=\frac{x}{25} \\ \\ x=25*1.881=47.025\\ \\ x=47.0\)
Triangle 3The question gives an angle (26°) and the opposite side (11) from the angle 26° of the right triangle. Therefore, you can find x from the trigonometric ratio of sin (26°):
\(sin(26^{\circ \:})=\frac{opposite\,side}{hypotenuse}=\frac{11}{x} \\ \\ sin(26^{\circ \:})=0.438\\ \\ Then,\\ \\ 0.438=\frac{11}{x} \\ \\ 0.438x=11\\ \\ x=\frac{11}{0.438} \\ \\ x=25.1\)
Triangle 4The question gives an angle (48°) and the hypotenuse (32) of the right triangle. Therefore, you can find x from the trigonometric ratio of sin (48°):
\(sin(48^{\circ \:})=\frac{opposite\,side}{hypotenuse}=\frac{x}{32} \\ \\ sin(48^{\circ \:})=0.743\\ \\ Then,\\ \\ 0.743=\frac{x}{32} \\ \\ x=32*0.743\\ \\ x=23.8\)
Triangle 5The question gives an angle (12°) and the adjacent side (29) from the angle 12° of the right triangle. Therefore, you can find x from the trigonometric ratio of cos (12°):
\(cos(12^{\circ \:})=\frac{adjacent\,side}{hypotenuse}=\frac{29}{x} \\ \\ cos(12^{\circ \:})=0.978\\ \\ Then,\\ \\ 0.978=\frac{29}{x} \\ \\ 0.978x=29\\ \\ x=\frac{29}{0.978} \\ \\ x=29.6\)
Triangle 6The question gives the adjacent side (14) from the angle x and the hypotenuse (15) of the right triangle. Therefore, you can find x from the trigonometric ratio of cos(x) :
\(cos(x)=\frac{adjacent\,side}{hypotenuse}=\frac{14}{15} \\ \\ cos(x)=0.933\)
After that, you should calculate the arccos(x).
\(\arccos \left(\frac{14}{15}\right)=21.0^{\circ \:}\\ \\ Then,\\ \\ x=21.0^{\circ \:}\)
Triangle 7The question gives the adjacent side (23) from angle x and the opposite side (19) from angle x of the right triangle. Therefore, you can find x from the trigonometric ratio of tan (x) :
\(tan(x)= \frac{opposite\,side}{adjacent\,side}=\frac{19}{23}\\ \\ \tan \left(x}\right)=0.826\)
After that, you should calculate the arctan(x).
\(\arctan \left(\frac{19}{23}\right)=39.6^{\circ \:}\\ \\ Then,\\ \\ x=39.6^{\circ \:}\)
Triangle 8The question gives the adjacent side (9) from angle x and the hypotenuse (17) of the right triangle. Therefore, you can find x from the trigonometric ratio of cos(x) :
\(cos(x)=\frac{adjacent\,side}{hypotenuse}=\frac{9}{17} \\ \\ cos(x)=0.529\)
After that, you should calculate the arccos(x).
\(\arccos \left(\frac{9}{17}\right)=58.0^{\circ \:}\\ \\ Then,\\ \\ x=58.0^{\circ \:}\)
Triangle 9The question gives the opposite side (43) from angle x and the hypotenuse (45) of the right triangle. Therefore, you can find x from the trigonometric ratio of sin(x) :
\(sin(x)=\frac{opposite\,side}{hypotenuse}=\frac{43}{45} \\ \\ sin(x)=0.956\)
After that, you should calculate the arcsin(x).
\(\arcsin \left(\frac{43}{45}\right)=72.9^{\circ \:}\\ \\ Then,\\ \\ x=72.9^{\circ \:}\)
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A store sells a 1 1/4 pound package of turkey for $9
.What is the unit price of the turkey in the package?
If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.
The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.
To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.
First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.
Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:
⇒ Unit price = (Total cost)/(Weight of turkey in package),
⇒ Unit price = $9/1.25 pounds,
⇒ Unit price = $7.20 per pound,
Therefore, the unit price of turkey in the package is $7.20 per pound.
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The given question is incomplete, the complete question is
A store sells a 1(1/4) pound package of turkey for $9. What is the unit price of the turkey in the package?
I need help I don’t know how to do this
Answer:
Step-by-step explanation:
so think of the equation that would make that straight line at -2
this is not obvious until you see the equations, b/c it's so basic.
y= -2
note that there is no "x" in the equation input.
it means that at any "x" , the equation is still equal to 2.
it's important to recognize that the form of the equation means that.
Then just make it an inequality
y \(\leq\) -2
make sense?
solve the equation 3y/2 - 4 > 4/5 + 7y/10.
Answer:
y>6
Step-by-step explanation:
^^
Answer:
y > 6
Step-by-step explanation:
3 x \(\frac{y}{2}\) - 4 > \(\frac{4}{5}\) + 7 x \(\frac{y}{10}\)
---
Subtract 7 \(\frac{y}{10}\) from both sides
3 x \(\frac{y}{2}\) - 4 - 7 x \(\frac{y}{10}\) - 7 x \(\frac{y}{10}\) (simplify) -> \(\frac{4y}{5}\) - 4 > \(\frac{4}{5}\)
Add 4 to both sides
\(\frac{4y}{5}\) - 4 + 4 > \(\frac{4}{5}\) + 4 (simplify) -> \(\frac{4y}{5}\) > \(\frac{24}{5}\)
Mulitply both sides by 5
\(\frac{5x4y}{5}\) > \(\frac{24 x 5}{5}\) (simplify) -> 4y >24
Divide both sides by 4
\(\frac{4y}{4}\) > \(\frac{24}{4}\) (simplify) -> y > 6
19) A pen which costs $180 is being sold at a
profit of 10%. The amount of the profit is
(A) $1.80
(B) $10.00
(C) $18.00
(D) $198.00
Answer:
(C) $18.00
Step-by-step explanation:
10% = 0.1
180 * 0.1 = 18
(C) $18.00
Simplify: 2x^3+3y^3+5x^3+4y
The simplified fοrm οf the expressiοn \(2x^3 + 3y^3 + 5x^3 + 4y is 7x^3 + 3y^3 + 4y.\)
What is an expressiοn?Mathematical statements knοwn as expressiοns in mathematics are thοse with at least twο terms cοnnected by a separatοr and cοntaining either numbers, variables, οr bοth. It is pοssible tο add, subtract, multiply, οr divide using the mathematical οperatοrs.
Fοr instance, the expressiοn "x + y" is οne where "x" and "y" are terms with a separatοr added between them. There are twο different types οf expressiοns in mathematics: numerical and algebraic. Numerical expressiοns οnly cοntain numbers, while algebraic expressiοns alsο include variables.
Tο simplify the expressiοn \(2x^3 + 3y^3 + 5x^3 + 4y,\) we can cοmbine the like terms:
\(2x^3 + 5x^3 + 3y^3 + 4y\)
\(= (2 + 5)x^3 + (3)y^3 + (4)y\)
\(= 7x^3 + 3y^3 + 4y\)
Therefοre, the simplified fοrm οf the expressiοn
\(2x^3 + 3y^3 + 5x^3 + 4y is 7x^3 + 3y^3 + 4y\).
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What is the probability of rolling a 3 on a 6-sided 8)
number cube and then NOT rolling a 3 on a 6-
sided number cube?
Answer:
the chances of rolling a 3 are 1/6
the changes of not doing it is 5/6
HELP ME ASAP PLEASE HURRY!
Answer:
It should be 11 units
Answer:
9.2
Step-by-step explanation:
Use the Pythagorean Theorem \(a^2+b^2=c^2\)
\(2^2+9^2=c^2\\4+81=c^2\\85=c^2\\c=\sqrt{85} \\c=9.2\)
How much time will it take for the laptop to receive one mtu-size (1500 byte) packet?
The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.
Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.
First, let's convert the packet size from bytes to bits:
Packet size = 1500 bytes
1 byte = 8 bits
1500 bytes * 8 bits/byte = 12000 bits
Now, we need to divide the packet size by the network speed to calculate the time:
Time = Packet size / Network speed
For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:
Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds
Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
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13. The emf result at the junction of a thermocouple is given by the equation e=0.4T−e T−100. The thermocouple is then calibrated using a standard thermometer. When the standard thermometer reads 50∘C, what is the reading of the thermocouple?
O a. 50.09
O b. 50.11
O c. 50.13
O d. 50.15
The standard thermometer reads 50°C, the reading of the thermocouple is 0.3922.
To find the reading of the thermocouple when the standard thermometer reads 50°C substitute T = 50 into the equation e = 0.4T - e(T - 100). Let's calculate it:
e = 0.4(50) - e(50 - 100)
e = 20 - e(-50)
e = 20 + 50e
to solve this equation for e. Let's rearrange it:
50e + e = 20
51e = 20
e = 20/51 ≈ 0.3922
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A study was begun in 1960 to assess the long-term effects of smoking Cuban cigars. The study was conducted as part of a public health initiative among residents of Ontario, Canada. Five thousand adults were asked about their cigar smoking practices. After 20 years, these individuals were again contacted to see if they developed any cancers, and if so, which ones. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial A major pharmaceutical company is interested in studying the long-term neurological effects of an anesthetic agent that was discontinued ("pulled off the market") in 2000. The plan is to identify patients who received the drug before it was discontinued (via drug administration records) and assess the outcome of subsequent neurological disorder (from physician office visit records) from the years 2010-2020. An effective study design to attempt answering this question would be A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial Investigators are interested in assessing the prevalence of obesity and diabetes among adolescents. They decide to conduct a survey among high school students during their junior year, asking the students about their current weight and whether they have diabetes, among other questions. This is an example of a A. Cross-sectional study B. Prospective cohort study C. Retrospective cohort study D. Case-control study E. Randomized clinical trial
The first scenario described is an example of a retrospective cohort study. The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.
1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.
2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.
3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.
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create a proportional ratio to the given ratio 7/7= ?/?
Answer:
14/14
Step-by-step explanation:
multiply 7/7 by 2/2
=14/14
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?
Answer:
Yes
2*2*2*2*2*2=64
so that is a much better deal than the original 40$
Step-by-step explanation:
Please help I don’t understand this. I suck at this. (Worth 15 points)
Answer:
0.00068
Step-by-step explanation:
By "hm" I think you mean hectometer, and 6.8 cm converted to hectometer is 0.00068. Hope this helped!
Answer:
6.8 cm is equal to 0.00068 hm
Step-by-step explanation:
Hope this helps!
the y intercept of the graph of a line is located at (0, -3) and the line passes through the point (6,2). which is the equation of this line
There are 15 cats at a pet shelter. The ratio of cats to dogs is 3:5. How many dogs are at the shelter?
Therefore, you have 25 dogs at the shelter.
Answer:
25
Step-by-step explanation:
We can take our ratio of 3:5 and multiply it by 5 to give us the number of cats we have. We get 15:25. Meaning we have 25 dogs.
find the dimensions of a rectangle of area of 324 square feet that has the smallest possible perimeter.
The dimensions of the rectangle that minimize the perimeter are 18 feet by 18 feet.
To find the dimensions of a rectangle with an area of 324 square feet and the smallest possible perimeter, we need to minimize the perimeter while maintaining the given area. The area of a rectangle is given by the formula:
Area = length × width
Now, let's find the dimensions that result in the smallest perimeter.
The dimensions of the rectangle that minimize the perimeter are 18 feet by 18 feet.
1. We know the area is 324 square feet, so we can write the equation:
324 = length × width
2. To minimize the perimeter, the rectangle should be as close to a square as possible because a square has the smallest possible perimeter for a given area.
3. Find the factors of 324 to determine which pair of numbers is closest to being equal. The factors are:
1×324, 2×162, 3×108, 4×81, 6×54, 9×36, 12×27, and 18×18
4. Among these factor pairs, 18×18 is the closest to being equal, so the dimensions are 18 feet by 18 feet.
5. The smallest possible perimeter is achieved when the rectangle is a square with side lengths of 18 feet. The perimeter can be calculated as:
Perimeter = 2 × (length + width) = 2 × (18 + 18) = 2 × 36 = 72 feet
So, the dimensions of the rectangle with an area of 324 square feet and the smallest possible perimeter are 18 feet by 18 feet, and the perimeter is 72 feet.
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Suppose you read on the back of a lottery ticket that the chances of winning a prize are 1 out of 10. Select the best interpretation. a. If many people buy a ticket, about 1 in 10 will win. b. If you buy 10 tickets, more likely than not you will win exactly once. c. You will win at least once out of the next 10 times you play. d. You will win exactly once out of the next 10 times you play. I
The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.
This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.
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NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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Manuel wants to earn at least $44 trimming trees. He charges $6 per hour and pays $4 in equipment fees. What are the possible numbers of hours Manuel could trim trees? Use (t) for the number of hours. Write your answer as an inequality solved for (t).
Given:
Manuel wants to earn at least $44 trimming trees.
He charges $6 per hour and pays $4 in equipment fees.
To find:
The possible numbers of hours Manuel could trim trees.
Solution:
Let t be the numbers of hours Manuel could trim trees.
Earnings of Manuel in one hour = $6
Earnings of Manuel in t hour = $6t
He pays $4 in equipment fees. So, we will subtract this from the income.
\(\text{Total earnings}=6t-4\)
Manuel wants to earn at least $44 trimming trees. It means, total earnings must be greater than or equal to 44.
\(6t-4\geq 44\)
\(6t\geq 44+4\)
\(6t\geq 48\)
Divide both sides by 6.
\(t\geq \dfrac{48}{6}\)
\(t\geq 8\)
Therefore, the required number of hours must be greater than or equal to 8 hours.
Task 5: Fill in the table so that every row and every column sums to 0.
I need help I’m slow
Answer:
Between 25 and -18 is 0.
Between -18 and -12 (in the corner) is again, 0.
Between -12 and -18 (left side corner, bottom) is 5.
Between 0 and -12 (top left corner) is -18.
Between 0 and 5 (top of page) is 25
Between 5 and -12 (bottom right corner) is 0
Between -18 and 25 (middle) is 5
Between -18 and 0 (middle) is -12
Between -12 and 0 (middle-left) is 5
Between -12 and -18 (not corner, but above it) is 25.
Step-by-step explanation:
I don't really have a explanation, other than elimination.
Answer:
Step-by-step explanation: Don't have an explanation except elimination.
A restaurant earns $1073 on friday and $1108 on saturday. Write and solve an equation to find the amount x(in dollars) the restaurant needs to earn in Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day
The amount the restaurant needs to earn on Sunday to average $1000 per day over the three-day period is $819.
What is average ?
The average is the ratio of the sum of the number of a given set of values to the total number of values present in the set.
It is given that restaurant earns $1073 on Friday and $1108 on Saturday.
The amount which restaurant needs to earn on Sunday to average $1000 per day over the three-day period can be calculated by finding the average.
The average is given by ratio of sum of amount on each day from Friday to Sunday and divide it by number of days.
Let's assume amount earn on Sunday is $x.
So ,
\(\frac{1073 + 1108 + x}{3}\) = 1000
1073 + 1108 + x = (1000 × 3)
2181 + x = 3000
Let's solve this equation to get the value of x.
x = 3000 - 2181
x = $819
So , amount earn by restaurant is $819.
Therefore , the amount the restaurant needs to earn on Sunday to average $1000 per day over the three-day period is $819.
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what is g(r) = -5+13 when g(3)
The function g(3)'s expression is 8, which is
The supplied function is defined by a single expression, as per the query. Calculate the value of the other function using the provided expression.
In light of this, g(r) = -5 + 13 = 8
Additionally, the computed value can also be used as the value of the function expression g(3).
Consequently, the value of the function provided is 8.
Describe function.The relationship between the dependent and independent variables is explained by the function. For the functions, it has a collection of values that may be connected using the domain technique.
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A student is building a squirrel feeder for a family member. The figure is a model of the feeder. A rectangular prism with dimensions 4 and one-fourths inches by 18 and one-fourth inches by 3 inches. How much feed can the container hold?
The container can hold approximately 232.3125 cubic inches of feed.
What is the rectangular prism?
A rectangular prism is a 3-dimensional solid object that has six faces which are rectangles. It is also known as a rectangular parallelepiped.
To find the volume of the rectangular prism, we need to multiply its length, width, and height.
Given:
Length = 4 and one-fourths inches = 4.25 inches
Width = 18 and one-fourths inches = 18.25 inches
Height = 3 inches
V = 4.25 inches × 18.25 inches × 3 inches
V = 232.3125 cubic inches
Hence, the container can hold approximately 232.3125 cubic inches of feed.
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