Solve and then graph each solution on a number line.
52 = 12 + 4w
Answers
Related Questions
question 4. Write an equation of the line that passes through (1, 2) and (3,-2).
Answer in slope-intercept form
O
Answers
Answer:
y=-2x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(3-1)
m=-4/(2)
m=-4/2
m=-2
y-y1=m(x-x1)
y-2=-2(x-1)
y-2=-2x+2
y=-2x+2+2
y=-2x+4
Please mark me as Brainliest if you're satisfied with the answer.
I just need the answer to this question
Answers
THE VOLUME OF A RECTANGULAR PRISM ID GIVEN BY
\(v = l \times b \times h \\ = ( \frac{7}{2} in) \times ( \frac{5}{2} in) \times ( \frac{3}{2} in) \\ \\ v = \frac{35}{2} {in}^{2} \times \frac{3}{2} in \\ v = \frac{105}{2} {in}^{3} \\ v = 52\times \frac{3}{2} {in}^{3} \)
THE FIRST OPTION IS THE ANSWER!!
im really confused on this please help if you can
Answers
Answer:
A. 2\(\frac{1}{2}\)
Step-by-step explanation:
You have to replace x with one of the values in the set. You have to find the one that works.
3\(\frac{1}{2}\)x = 8\(\frac{3}{4}\)
8\(\frac{3}{4}\) ÷ 3\(\frac{1}{2}\) = x
8\(\frac{3}{4}\) ÷ 3\(\frac{1}{2}\) = 2\(\frac{1}{2}\)
Hope this helps :)
Challenge!
A. 13
B. 24
C. 6
D. 34
Answers
Answer:
A. 13.
Step-by-step explanation:
x + 9 = 2(3x - 38)
X + 9 = 6X - 76
85 = 5x
x = 85/5
x = 17
So RS = 3(17) - 38
= 51 - 38
= 13
3. The principal wants to know if students at Meadows Senior High School are in favor of a new dress code at their
school. The principal is not able to ask the opinion of every student at the school, so she needs to select an
appropriate sample of the students to represent the high school. Select which sample of students the principal
should choose.
A. Students randomly selected from a list of all students at the school.
B. Students sitting at randomly selected tables in the library.
C. Students she selects from the hall way between classes.
D. Students selected by the teachers.
Answers
Answer:
(A)
Step-by-step explanation:
(D) is already out since the teachers may have favorites or unfavorites.
(C) is already out since you can't be in all the halls at once.
There is only (A) and (B).
I think it's (A) and not (B) because it might not be a classes/grades library day.
flagpole a and flagpole c are both casting a shadow that ends at point s. The distance (x) between the flagpoles is 12m. the distance (y) between flagpole c to point s is 10m. the height of flagpole a is 12.1m. what is the height of flagpole c?
Answers
The height of flagpole C is approximately 13.1m.
How to use similar triangles to solve this problem?The triangles formed by flagpole A, its shadow, flagpole C, and its shadow are similar, so we can set up the following proportion:
(height of flagpole A) / (length of shadow of flagpole A) = (height of flagpole C) / (length of shadow of flagpole C)
We are given the height of flagpole A (12.1m), the distance between the flagpoles (12m), and the distance between flagpole C and the end of the shadow (10m). Let h be the height of flagpole C.
Using the proportion, we can write?12.1 / x = h / (x + 10)
Where x is the length of the shadow of flagpole A, which is the same as the length of the shadow of flagpole C.
We can solve for h by cross-multiplying and simplifying:
12.1(x + 10) = xh
12.1x + 121 = xh
h = (12.1x + 121) / x
We can now substitute x = 12 (since the distance between the flagpoles is 12m) and solve for h:
h = (12.1*12 + 121) / 12 h = 13.1
Therefore, the height of flagpole C is approximately 13.1m.
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A car travels a distance of 210 m in a time of 6 seconds. Calculate the time in seconds for the car to travel a distance of 1928 m.
Answers
Answer:
It will take 55.08 seconds.
Step-by-step explanation:
6 seconds = 210m
1 second = (210÷6)
= 35m
1928m ÷ 35m
=55.08 seconds
Answer = it will take 55.08 seconds to travel 1928m
g(x) = -2x -9 what is g(-7)?
Answers
Answer:
g(-7) = 5
Step-by-step explanation:
Step 1: Define
g(x) = -2x - 9
g(-7) is x = -7
Step 2: Substitute and Evaluate
g(-7) = -2(-7) - 9
g(-7) = 14 - 9
g(-7) = 5
Answer:
g(-7)=5
Step-by-step explanation:
-2 (-7) - 9 =
14 - 9 =
5
the time to complete a bridge varies inversely with the square root of the number of people working. if 9 people can complete the job in 75 days then how long would it take 25 people?
Answers
If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.
Let T be the time and L be the Labor (Number of people working on the bridge).
T ∞ 1/√L (Inverse relationship)
T = K/√L ----------------------------- (1)
Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.
According to the question,
Time (T) = 75 days and
labor (L) = 09
From the equation (1), we get,
T = K / √L
⇒ 75 = K/√9
⇒ 75= K/3
⇒ K= 225
First, the relationship between these variables is:
T = 225/√L
Therefore, how long it will take 25 people to do it means that we should look for the time.
T=225/√L
⇒ T= 225/√25
⇒ T= 225/5
⇒ T= 45 days.
therefore, 25 people needs 45 days to complete the job.
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For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 9. What is the probability that a randomly
selected male's systolic blood pressure will be less than 100, to the nearest
thousandth?
Answers
Answer:
Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.
Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
According to the question
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.
Probability that a randomly selected male's systolic blood pressure will be less than 100
P(x < 100)
By using normalized normal distribution
= \(N(\frac{100-105}{9} )\)
= \(N(\frac{-5}{9} )\)
We have N(-a) = 1 - N(a), a>0
= 1 - \(N(\frac{-5}{9} )\)
= 1 - N(0.556)
= 1 - 0.6026
= 0.3979
≈ 0.397 (nearest thousandth)
So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.
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Which equation represents the line that is perpendicular to y=1/6 and passes through (-8,-2)?
Answers
Answer:
y = -6x - 50
Step-by-step explanation:
y = mx + b
Since it is perpendicular to y=1/6, the slope is -6. (Opposite reciprocal)
y = -6x + b.
Substitute to get: -2 = 48 + b
b = -50
y = -6x - 50
The following question find the value of the variables. If your answer is not an integer leave it in simplest radical form
The triangle is not drawn to scale.
Ox=1013, y = 30
Ox= 10, y = 30,13
Ox= 30/3, y= 10
Ox= 30, y = 10.73
Answers
Answer:
option 4
Step-by-step explanation:
using the sine/ cosine ratios in the right triangle and the exact values
cos30° = \(\frac{\sqrt{3} }{2}\) , sin30° = \(\frac{1}{2}\) , then
cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{20\sqrt{3} }\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )
2x = 20\(\sqrt{3}\) × \(\sqrt{3}\) = 20 × 3 = 60 ( divide both sides by 2 )
x = 30
and
sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{y}{20\sqrt{3} }\) = \(\frac{1}{2}\) ( cross- multiply )
2y = 20\(\sqrt{3}\) ( divide both sides by 2 )
y = 10\(\sqrt{3}\)
A solid metal spinning top is constructed by joining a hemispherical top to a cone-shaped base. The radius of both thehemisphere and the base of the cone is 3 cm. The volume of the cone is half that of the hemisphere. Find the following tothree significant figures:a. The volume of the hemispherical top = 56.5cm^3b. The height of the cone-shaped base = 3cm^2C. The outer surface area of the entire spinning top including all pieces
Answers
a) The volume of the hemisphere is 56.5 cm^3
b) The height of the cone is 3 cm
c) The outer surface area of the shape is 96.5 cm^2
HERE, we want to calculate the given measures
a) The volume of the hemispherical top
To calculate this, we use the formula for the volume of a hemisphere
Mathematically, we have this as follows;
\(V\text{ = }\frac{2}{3}\text{ }\times\text{ }\pi\text{ }\times r^3\)From the question, we have the radius of the hemisphere as 3cm
We have this as;
\(V\text{ =}\frac{2}{3}\times3.142\times3^3=56.5cm^3\)b) We want to calculate the height of the cone-shaped base
From the question, we are told that the volume of the cone is half that of the hemisphere;
The volume of the cone is thus;
\(V\text{ = }\frac{56.5}{2}=28.25cm^3\)Mathematically, we have the volume of a cone as follows;
\(V\text{ = }\frac{1}{3}\times\pi\text{ }\times r^2\times h\)Substitute the value of the volume and the value of the r so that we can get the height
We have this as;
\(\begin{gathered} 28.25\text{ = }\frac{1}{3}\text{ }\times\text{ 3.142 }\times3^2\text{ }\times\text{ h} \\ \\ h\text{ = }\frac{28.25}{3.142\text{ }\times\text{ 3}}\text{ = 2.997 which is 3 cm} \end{gathered}\)c) Here, we want to get the outer surface area of the spinning top and the pieces
Mathematically, we have that as the sum of the area of the hemisphere plus that of the cone
We have that as;
\(A\text{ = (2}\times\pi\times r^2)\text{ + }\pi rl\)Now, you will notice that we do not use the full area of the cone
This is because we have the hemisphere taking this up already and we only need the surface area of the hemisphere.
We do not find the area of the circular base of the cone
We also can notice the l term in the area of the cone
The l term stands for the slant height of the cone
The slant height can be calculated using the Pythagoras' theorem, with the base of the cone and its height serving as the other sides and the slant height serving as the hypotenuse. The Pytahgoras' theorem states that the square of the hypotenuse (slant height) equals the sum of the squares of the two other sides (base and height of the cone)
So, we have the slant height as;
\(\begin{gathered} l\text{ = }\sqrt[]{3^2+3^2} \\ l\text{ = }\sqrt[]{18} \\ l\text{ = 4.24 cm} \end{gathered}\)So applying these to the area formula we deduced above, we have;
\(\begin{gathered} \text{Area = (3.142 }\times2\times3^2)\text{ + (3.142}\times3\times4.24) \\ \text{Area = 96.5 cm}^2 \end{gathered}\)Please help! Math problem.
2x+4=0: Solve for x
Answers
Answer:
x = -2
Step-by-step explanation:
2x + 4 = 0
2x= -4
x=-2
Equation: \(2x+4=0\)
Subtract 4 from both sides:
\(2x+4-4=0-4\\2x=-4\)
Divide both sides by 2:
\(\frac{2x}{2}=\frac{-4}{2}\)
Simplify:
\(\frac{-4}{2}=-2\\x=-2\)
Therefore, your answer would be x = -2.
-TestedHyperr
(I NEED THIS ASAP)
5. A cylinder has radius 3 inches and height 5 inches. A cone has the same radius and height. (Lesson 5-13)
b. Find the volume of the cone.
c. What fraction of the cylinder's volume is the cone's volume?
Answers
Answer:
Step-by-step explanation:
V=15
fraction of cylinder volume is=22
An internal firewall sits at the boundary between the corporate site and the internet. true false
Answers
An internal firewall sits at the boundary between the corporate site and the internet. This statement is False.
A firewall is a security system designed to protect computer networks from unauthorized access. Firewalls are hardware, software, or a combination of both that act as a shield between an organization's internal network and the outside internet or other untrusted networks. It can also be used to separate an internal network from other internal networks.
Internal firewalls are utilized to improve an organization's security posture by segregating sensitive systems or networks from less sensitive systems. For example, one of the internal firewalls may be used to separate the accounting department's systems from the systems used by other departments to ensure that accounting information is only accessible by authorized individuals.
The statement that an internal firewall sits at the boundary between the corporate site and the internet is not true as it refers to an external firewall. The internal firewall is used to separate sensitive systems and networks from less sensitive ones, which helps to enhance the security of an organization.
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In the expression 2x +5 , 2x and 5 are called
Answers
Answer:
Terms
Step-by-step explanation:
Hello!
The expression 2x +5 has two different terms: 2x and 5
Terms are values in an expression that are different from each other. They are values with different coefficients.
For example:
2x has a coefficient of 2, because 2x = 2(x)5 has a coefficient of 1 because 5 = 1(5)Like Terms:Like terms are values with the same factors or coefficients.
Let's use an example equation: 2x + 5 + 7x - 9
2x and 7x are like terms, because they have a factor of x, which simplifies to 2x + 7x = 9x5 and -9 have the same factor of -1, so if we simplify: 5 + (-9) = 5 - 9 = -4Combining the two terms we have 9x - 4A four-year project has an initial cost of $20 000, net annual cash inflows 2 points of $10 000, and a salvage value of $5 000. Which of the following gives the project's internal rate of return (i*)? -20 000(F/P, i*, 4) + 10 000 + 5 000 = 0 -20 000(A/P, i*, 4) + 10 000 + 5 000(A/F, i*, 4) = 0 -20 000(A/F, i*, 4) + 10 000 + 5 000(A/P, 1*, 4) = 0 0 -20 000(P/F, i*, 4) + 10 000 + 5 000(A/F, i*, 4) = 0 45 = 0
Answers
The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/
What is the project's internal rate of return (i*)?The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.
To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)
The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.
Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.
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ILL GIVE BRAINLIST IF RIGHT ASAP
Answers
Answer:
Because the side lengths of the triangles are proportional.
Step-by-step explanation:
I took geometry.
This is due tomorrow
A path goes around a triangular park, as shown.
a. Find the distance around the park to the nearest yard.
( I counted and got 190 that's not correct)
b. A new path and a bridge are constructed from point Q to the midpoint M of PR.
Find QM to the nearest yard.
(I counted and got 30 also not correct)
Answers
Answer:
Step-by-step explanation:
the two sides are 50 and 80
Use Pythagorean theorem
It’s about 94.34 (94)
So I’d guess 224
If the length of a certain rectangle is increased by 1, then the area of the rectangle is increased by 12. If instead, the width is increased by 2, then the area of the rectangle is increased by 42. What is the area of the original rectangle?
Answers
Answer: Let the length and breadth of a rectangle are x and y units , its area is x.y units^2
Step-by-step explanation: sorry no explanation
company in hayward, cali, makes flashing lights for toys. the
company operates its production facility 300 days per year. it has
orders for about 11,700 flashing lights per year and has the
capability
Kadetky Manufacturing Company in Hayward, CaliforniaThe company cases production day seryear. It has resto 1.700 e per Setting up the right production cost $81. The cost of each 1.00 The holding cost is 0.15 per light per year
A) what is the optimal size of the production run ? ...units (round to the nearest whole number)
b) what is the average holding cost per year? round answer two decimal places
c) what is the average setup cost per year (round answer to two decimal places)
d)what is the total cost per year inluding the cost of the lights ? round two decimal places
Answers
a) The optimal size of the production run is approximately 39, units (rounded to the nearest whole number).
b) The average holding cost per year is approximately $1,755.00 (rounded to two decimal places).
c) The average setup cost per year is approximately $24,300.00 (rounded to two decimal places).
d) The total cost per year, including the cost of the lights, is approximately $43,071.00 (rounded to two decimal places).
a) To find the optimal size of the production run, we can use the economic order quantity (EOQ) formula. The EOQ formula is given by:
EOQ = √[(2 * D * S) / H]
Where:
D = Annual demand = 11,700 units
S = Setup cost per production run = $81
H = Holding cost per unit per year = $0.15
Plugging in the values, we have:
EOQ = √[(2 * 11,700 * 81) / 0.15]
= √(189,540,000 / 0.15)
= √1,263,600,000
≈ 39,878.69
Since the optimal size should be rounded to the nearest whole number, the optimal size of the production run is approximately 39, units.
b) The average holding cost per year can be calculated by multiplying the average inventory level by the holding cost per unit per year. The average inventory level can be calculated as half of the production run size (EOQ/2). Therefore:
Average holding cost per year = (EOQ/2) * H
= (39,878.69/2) * 0.15
≈ 2,981.43 * 0.15
≈ $447.22
So, the average holding cost per year is approximately $447.22 (rounded to two decimal places).
c) The average setup cost per year can be calculated by dividing the total setup cost per year by the number of production runs per year. The number of production runs per year is given by:
Number of production runs per year = D / EOQ
= 11,700 / 39,878.69
≈ 0.2935
Total setup cost per year = S * Number of production runs per year
= 81 * 0.2935
≈ $23.70
Therefore, the average setup cost per year is approximately $23.70 (rounded to two decimal places).
d) The total cost per year, including the cost of the lights, can be calculated by summing the annual production cost, annual holding cost, and annual setup cost. The annual production cost is given by:
Annual production cost = D * Cost per light
= 11,700 * 1
= $11,700
Total cost per year = Annual production cost + Average holding cost per year + Average setup cost per year
= $11,700 + $447.22 + $23.70
≈ $12,170.92
Therefore, the total cost per year, including the cost of the lights, is approximately $12,170.92 (rounded to two decimal places).
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The circumference of a circle is 127 cm. What is the area,
in
square centimeters?
Express your answer in terms of Pi.
Answers
I hope this will help u
2(x-4) = 5 (x+24) rewrite the equation in slope-intercept form
Answers
Answer:
Since x=−128/3 is a vertical line, there is no y-intercept and the slope is undefined.
Step-by-step explanation:
Hope it helps :)
help a girl out!!! give brainliest!!
Answers
Answer:
-1 i believe because that is the only x intercept. i apologize if this is wrong
Step-by-step explanation:
26 . 26 8 | i need help with this
Answers
Answer:
Step-by-step explanation:
The answer is 26⁹
log8 2 + 3log8 2 + 1/2log8 16
step by step pls
Answers
Answer:
2
Step-by-step explanation:
Given expression:
\(\log_82+3\log_82+\dfrac{1}{2}\log_816\)
\(\textsf{Apply the Power law}: \quad n\log_ax=\log_ax^n\)
\(\implies \log_82+\log_82^3+\log_816^{\frac{1}{2}\)
Simplify:
\(\implies \log_82+\log_88+\log_84\)
\(\textsf{Apply the Product law}: \quad \log_ax + \log_ay=\log_axy\)
\(\implies \log_88+\log_8(2 \cdot 4)\)
\(\implies \log_88+\log_88\)
\(\implies 2\log_88\)
\(\textsf{Apply log law}: \quad \log_aa=1\)
\(\implies 2 \cdot 1\)
\(\implies 2\)
please look above for your answer .
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
A. p=421−376
376
B. p=421−376
421
C. p=376
421−376
D. p=376+421
376
Answers
Answer: The answer is A
What is the sum of 17.25 and 1.725 , to the nearest integer?
Answers
The sum of 17.25 and 1.725, to the nearest integer, is 19.
First, let's add the two numbers together: 17.25 + 1.725 = 19.975
Next, we need to round the sum to the nearest integer. To do this, we need to look at the tenths place of the number. Since the tenths place is a nine, we need to round up to the nearest integer.
In this case, the nearest integer is 19.
To check our answer, we can add the two numbers together again using a calculator and confirm that the answer is 19.
To make sure we understand how to round to the nearest integer, let's look at another example. If we add 3.45 + 2.735, the sum is 6.185.
Looking at the hundredths place, we see that it is a five. Since five is greater than or equal to five, we need to round up to the nearest integer.
In this case, the nearest integer is 7.
To check our answer, we can add the two numbers together again using a calculator and confirm that the answer is 7.
In summary, to round a number to the nearest integer, we need to look at the tenths place. If the tenths place is greater than or equal to five, we round up to the nearest integer. If it is less than five, we round down to the nearest integer.
Therefore, the sum of 17.25 and 1.725, to the nearest integer, is 19.
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The sum of 17.25 and 1.725 is 18.975. To the nearest integer, this number is rounded up to 19.
Rounding to the nearest integer involves finding the closest whole number to a decimal or fractional number. When the decimal portion of a number is greater than or equal to 0.5, the number is rounded up to the next whole number. When the decimal portion of a number is less than 0.5, the number is rounded down to the previous whole number. In this case, the decimal portion of 18.975 is greater than 0.5, so the number is rounded up to 19.
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Someone please help me answer this question please and thank you.
Answers
Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards. A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards. The object of the game is to be the first to get rid of all the cards in your hand.
Preparation: The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.
Shuffle the cards and deal out 7 cards to each player. Place the remaining cards in a pile (the draw pile) in the center of the table. Turn one card over to create the discard pile.
On his/her turn, each player will:
Either draw a card from the draw pile OR pick up the top card of the discard pile. (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.)
The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.
If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously.
If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.
At the end of each turn the player must place a card on the discard pile. If this is the last card in his/her hand, then he/she is the winner!
Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out. At that point, the player with the least number of cards in his/her hand is the winner.
Variation:
Students collect cards to make books but can only add a card to a book they have placed on the table themselves. At the end of the game, the player with the most books is the winner.