Answer:
y=3x+10
Step-by-step explanation:
m=y2-y1/x2-x1
-5-7=(-12)
3-(-1)=4
-12/4=3
y=3x+b
7=3(-1)+b
3*-1=(-3)
-3(-3)=0
7-(-3)=10
b=10
hope this helps :3
if it did pls mark brainliest
Amanda gets 40 miles per gallon in her car. The gas tank in her car holds 16 gallons of gas. Amanda drives 20 miles each day. She thinks that she can go a whole 30 days without putting any additional gas in her gas tank. is Amanda correct?
Answer:
No
Step-by-step explanation:
There is no way Amanda is correct. Pls brainliest Thx :D
Answer:
yes, she is right
WORTH 100 POINTS: Jessa walked 3 miles.
How many inches did she walk?
1 mi = 5280 ft, 1 ft = 12 in.
Enter your answer in the box.
PLEASE HELP
Answer: 15,840
We have been given that Maureen walked 3 miles. We are asked to convert the distance walked by Maureen in feet. Since we knoe that 1 mile equals 5,280 feet, so to convert our given distance we will multiply 3 by 5,280. Therefore, Maureen walked 15,840 feet.
HOPE this helps you! I tried
Answer:
190,080
Step-by-step explanation: I took the K12 test
Caroline is baking pies to the teachers lunch at her school she plans to give every teacher 1/8 of a pie she decides to bake 12 pies Each pie takes 26.5 minutes to bake if coraline bakes 1 pie at a time how many total minutes is it
Answer:
It will take her 318 minutes.
Step-by-step explanation:
26.5 times 12 equals 318
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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i need help <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3\
Answer:
the cordnate for X is 2 the cordnate for Y is -2
Answer: the coordinate for X is 2 the coordinate for Y is -2.
Step-by-step explanation:
To perform operations to obtain a single number or value. A Inverse Operation B Algebraic Expression C Evaluate an Algebraic Expression D) Additive Inverse
Answer:
c
Step-by-step explanation:
c
What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27
Answer:
area of rectangle =length ×width
area of rectangle=12yd×15yd
area of rectangle=180yd²
maya needs 54 cubic feet of soil for her garden. she already has 4.5 cubic feet of soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should maya purchase?
Answer:
33 bags
Step-by-step explanation:
she has 4.5 ft³
she needs 54 ft³
she must get an additional
54 ft³ - 4.5 ft³ = 49.5 ft³
each bag has 1.5 ft³
(49.5 ft³)/(1.5 ft³) = 33
Answer: 33 bags
Taylor used the function f(x) to model the change in the volume of a synthetic material. The volume of the material decreases by 6.8% each year. Select a statement from each of the dropdown menus below to accurately complete the sentence describing Taylor's function. Taylor's function is with 6.8%.
Answer: exponential with a decay rate of
Step-by-step explanation:
3. The cost of a taxi ride is the sum of a fixed cost of $2,50 for the first kilometer, plus
$175 for each additional kilometer,
a. White an equation that relates the cost of the taxi ride, Fdollars, to the distance
travelled,
Determine the cost of a 28km taxi ride. Show all the math!
Answer:
y=2.50+175*(x-1)
$4727.50
Step-by-step explanation:
y=2.50+175*(x-1)
The first km costs 2.50 which is why you add it. You do x-1 because the 175 is charged for each additional km. So, if you traveled one km it would cost 2.50.
y=2.5+175*(28-1)
y=2.5+175*27
y=2.5+4725
y=$4727.50
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
. Max needs 104 cups of flour to make a batch
of pizza dough for the pizzeria. He only has
4 cups of flour. How much more flour does
he need to make the dough? (STEP BY STEP. FOR THE LAST TIME.)
To make the dough, he'll need 5 3/4 cups of floor.
What is fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a portion or part of a whole. It symbolizes the equal parts of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, and the bottom number is known as the denominator.
Here,
10 1/4 cups of flour needed to make a batch=41/4 cups
4 1/2 cups of floor is there=9/2 cups
flour does he need to make the dough,
=41/4-9/2
=(41-18)/4
=23/4
=5 3/4 cups
He needs 5 3/4 cups of floor to make the dough.
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Given the following function, find h(-4)
h(x) = 8x2 – 5
h(-4) =
Step-by-step explanation:
put the value of x in the given function...
Answer:
h(-4) = 123
Step-by-step explanation:
h(x) = 8x² – 5
h(-4) = 8(-4)² - 5
h(-4) = 8(16) - 5
h(-4) = 128 - 5
h(-4) = 123
At her birthday party, marcie's guests ate 2/3 of her birthday cake and her family ate 1/4 of the cake. How much cake was left after her party?
Answer:
1/12
Step-by-step explanation:
So you start with an equation. 2/3 plus 1/4= ?.
Step 1: Find a common donominator.
Count by each number until they meat up.
3 6 9 12
4 8 12
Step 2: Multiply.
Basically, make sure that if you do something to the bottom you do the same to the top. You have
\(\frac{2}{3}\) = \(\frac{?}{12}\). 3 times 4 is 12. 2 times 4 is 8. Your new fraction is \(\frac{8}{12}\).
\(\frac{1}{4}\) = \(\frac{?}{12}\). 4 times 3 is 12. 1 times 3 is 3. Your new fraction is \(\frac{3}{12}\).
Step 3: Just Add!
\(\frac{8}{12} + \frac{3}{12}= \frac{11}{12}\)
Step 4: Answer the question! The question asks "How much cake is left. You know that a whole cake is \(\frac{12}{12}\). So, \(\frac{12}{12} -\frac{11}{12} = \frac{1}{12}\)
whats the difference between-2/3 and-1/4=
Answer:
\(-\frac{5}{12}\)
Step-by-step explanation:
\(-\frac{2}{3} -(-\frac{1}{4}) =-\frac{2\times4}{3\times4} +\frac{1\times3}{4\times3}\)
\(=-\frac{8}{12} +\frac{3}{12}\)
\(=\frac{-8+3}{12}\)
\(=-\frac{5}{12}\)
The radius of the large sphere is double the radius of the
small sphere.
How many times is the volume of the large sphere than the
small sphere?
02
O4
6
O 6
O 8
Answer:
8
Step-by-step explanation:
just do the comparation
Vb : Vs
b for big and s for small
4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)
Vb : Vs = rb³ : rs³
Vb : Vs = (2rs)³ : rs³
Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)
Vb : Vs = 8 : 1
so Vb is 8 times larger in volume than the small one
MULTIPLE CHOICE A thermometer is
accurate to +2°F. Which absolute value
equation can be used to find the greatest
and least possible temperatures if the
thermometer reading is 17°F?
The absolute value equation which could be used to obtain the greatest and least possible temperature values when the temperature reading is 17°F is (17 ± 2)°F
Thermometer accuracy = ±2°F Thermometer reading = 17°FThe least possible value of temperature can be calculated thus :
Thermometer reading - thermometer accuracy 17 - 2 = 15°FThe highest possible temperature can be calculated thus :
Themometer reading - thermometer accuracy 17 + 2 = 19°FHence, the absolute value equation which represents the scenario is (17 ± 2)°F
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The following angle measures could form a triangle
(a)
111º, 28°, 31°
A True
B False
(b)
Explain why the angle measures form a triangle or do not form a triangle,
Answer:
, , , , and
The general solution is
The error in the approximations to y(0.2), y(0.6), and y(1):
Step-by-step explanation:
I need help with this differential equation.
(i) The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).
(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:
A/(factor 1) + B/(factor 2) + C/(factor 3) + ...
In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:
100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)
To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:
100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))
Now, we can equate the numerators:
100 = (A * (10 - x) + B * \(x^7\))
To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:
For x = 0:
100 = (A * (10 - 0) + B * \(0^7\))
100 = 10A
A = 10
For x = 10:
100 = (A * (10 - 10) + B *\(10^7\))
100 = B * 10^7
B = 100 / 10^7
B = 1/10^5
Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:
100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)
(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)
We are also given x = 1 when t = 0.
To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:
∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt
Integrating both sides:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C
Where C is the constant of integration.
Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:
-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C
-1 = 0 + C
C = -1
Plugging in the value of C, we have:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
To solve for t in terms of x, we can rearrange the equation:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Multiplying both sides by -1, we get:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
Simplifying further:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Now, we can isolate t on one side of the equation:
(1/100) * (10t - (1/2)t^2) = 1 - 1/x
10t - (1/2)t^2 = 100 - 100/x
Simplifying the equation:
(1/2)\(t^2\) - 10t + (100 - 100/x) = 0
At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:
t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))
Simplifying further:
t = (10 ± √(100 + 200/x)) / 1
t = 10 ± √(100 + 200/x)
Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).
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(SAT Prep) Find the value of x.
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
a poker hand consisting of five cards, is dealt from a standard deck of 52 cards. Find the probability that the hand contains five face cards
Answer:
56
Step-by-step explanation:
because is one times 44
compare the function rule f(x) = 3x +2 and the graph of g(x)
which statements are true? select two that apply.
-g(x) increases at a faster rate over the interval (-1,0)
-g(x) increases at a faster rate over the interval (1,2)
-g(x) increases at a faster rate over the interval (0,1)
-f(x) increases at a faster rate over the interval (2,3)
-f(x) increases at a faster rate over the interval (0,1)
-f(x) increases at a faster rate over the interval (1,2)
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x)
\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)
from the graphs n f (x) and g( x) are 1 and 5 .
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(1+1+3+2)x0+10-5=
What is the answer?
Answer:
.(1+1+3+2)×0+10-5
= (7)×0+10-5
(7×0) + ((10-5)
0 + 5
= 5
A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?
A. 2x + 3y ≥ 30, 6x + 4y ≤ 120
B. 2x + 3y ≥ 30, 6x + 4y ≥ 120
C. 2x + 3y ≤ 30, 6x + 4y ≤ 120
D. 2x + 3y ≤ 30, 6x + 4y ≥ 120
The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A woodworking artist makes two types of carvings: type X and type Y.
He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.
His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.
If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.
Then the linear systems of inequalities models this situation will be
2x + 3y ≥ 30 and 6x + 4y ≤ 120
Thus, the correct option is A.
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Which one for number 1?????
Answer:
leaking out of the tank
Step-by-step explanation:theres a " - " in the back of the number
Someone help me quick
Answer: x > - 18
Step-by-step explanation:
please help me on this math question
Answerye
rd
Step-by-step explanation:
Differentiate the function with respect to x. Shot steps
Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given,
\(y=log_{2}x^{3}.(5x^{4}+2)\)
We have to differentiate with respect to x.
y'=xy'+yx'
\(x=log_{2}x^{3}\)
\(y=5x^{4}+2\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
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If AC = 7x-3 and CB=3x+9,then find the length of AB
If AC = 7x-3 and CB=3x+9,then the length of AB is:
7x-3 + 3x +9
7x+3x -3 + 9 (Organizing)
10x + 6 (Adding like terms)
Since C is the middle point, the lenght of AC is equal to the lenght of CB, therefore we need to find the value of x with the following equation:
7x-3 = 3x+9
7x - 3x -3 = 9 ( Transposing 3x to the other side of the equation)
7x - 3x= 3 + 9 ( Transposing 3 to the other side of the equation)
4x = 12 (Adding like terms)
4/4x = 12/4 ( Dividing by 4 on both sides of the equation)
x= 3
Replacing 3 in 10x + 6, we have:
10*(3) + 6 = 30 + 6 = 36
Therefore the final answer is 36, option D.
. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.
a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him
The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.
After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.
However, Caesar, true to his word, had the pirates crucified on his own authority.
This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
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