Answer:
y = 1/4x + 4
Step-by-step explanation:
y = mx + b
Since the lines are parallel, the slope is the same. m = 1/4
y = 1/4x + b
Substitute (4,5)
5 = 1/4(4) + b
5 = 1 + b
4 = b
The y-intercept is (0, 4).
y = 1/4x + 4
Factor out the GCF from the terms of the polynomial –4y5 + 6y3 + 8y2 – 2y.
Answer:
2y(-2y3 + 3y2 + 4y - 1)
Step-by-step explanation:
They all have 2y
2y(-2y3 + 3y2 + 4y - 1)
Please someone help me my question please please please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC ≅ ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
What are the coordinates of the terminal point for 0 = 4pi/3
Answer:
I hope this helps. There is a link
b
So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.
Step-by-step explanation:
A 176-cm3 block of lead that weighs 18N is submerged in water.One cm3 of water weighs 0.0098N.
Answer:
B
Step-by-step explanation:
A block of weight W is pulled along a horizontal surface at constant speed v by a force F, which acts at an angle of θ with the horizontal, as shown above.
convert the binary expansion of each of the following integers to a hexadecimal expansion. the hexadecimal notation of (0111 0111 0111 0111)2
Each group of four binary digits can be represented by a single hexadecimal digit. The hexadecimal notation of (0111 0111 0111 0111)₂ is (7777)₁₆.
To convert the binary expansion of (0111 0111 0111 0111)2 to hexadecimal, we first group the digits into groups of four starting from the right:
(0111 0111 0111 0111)2 = (7 7 7 7)16
Each group of four binary digits can be represented by a single hexadecimal digit. In this case, each group of four binary digits represents the hexadecimal digit 7. Therefore, the hexadecimal notation of (0111 0111 0111 0111)2 is (7777)16.
To convert the binary expansion (0111 0111 0111 0111)₂ to a hexadecimal expansion, you can group the binary digits into sets of four starting from the right and then convert each group to its corresponding hexadecimal value. Here's the process:
1. Group the binary digits: (0111) (0111) (0111) (0111)
2. Convert each group to hexadecimal:
- (0111)₂ = 7₁₆
- (0111)₂ = 7₁₆
- (0111)₂ = 7₁₆
- (0111)₂ = 7₁₆
Your answer: The hexadecimal notation of (0111 0111 0111 0111)₂ is (7777)₁₆.
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HELP the price of gasoline purchased varies directly with the number of gallons purchased if 10 gallons of gasoline are purchased for$23 what will be the price of 50 gallons be?
Answer:
Step-by-step explanation:
It will be 115$
Answer: the answer is $21.7391304348 or round to $21.74 is the cost for 50 gallons
Step-by-step explanation: I did the calculations and it costs $2.30 a gallon
In a maths paper there are 10 questions. Each correct answer carries 5 Marks whereas for each Wrong answer 2marks are deducted from the marks scored. Abdul answered all the questions but got only 29 marks. Find the no. Of correct answers given by Abdul?
Abdul gave 7 correct answers in the maths paper.
To find the number of correct answers given by Abdul in a maths paper with 10 questions, let's use the given information about the scoring system and set up an equation.
Let x be the number of correct answers and y be the number of wrong answers. We know that:
x + y = 10 (total questions)
5x - 2y = 29 (marks scored)
We can solve this system of linear equations step-by-step:
Solve the first equation for x:
x = 10 - y
Substitute this expression for x in the second equation:
5(10 - y) - 2y = 29
Simplify and solve for y:
50 - 5y - 2y = 29
50 - 7y = 29
7y = 21
y = 3
Substitute the value of y back into the expression for x:
x = 10 - 3
x = 7
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Rob purchased picnic food for $33.20 to share with three of his friends.
They plan to split the cost evenly between the four friends. How much
does each person need to pay Rob?
a. $8.05
b. $8.30
c. $7.26
d. $11.07
What will be the cost of the paving if cement costs $26.50 per square metre?
Answer: $2203.74
Step-by-step explanation:
find the remainder when 4x^4-8x^3-x+10 is divided by x^2-4
(using polynomial long division)
The remainder when dividing 4x⁴ - 8x³ - x + 10 by x² - 4 is -33x + 74.
To find the remainder when the polynomial 4x⁴ - 8x³ - x + 10 is divided by x² - 4, we can use polynomial long division.
4x² - 8x + 16
___________________
x² - 4 | 4x⁴- 8x³ - x + 10
- (4x⁴ - 16x²)
______________
- 8x³ + 16x² - x + 10
-(- 8x³ + 32x)
______________
16x² - 33x + 10
- (16x² - 64 )
______________
-33x + 74
Therefore, the remainder when dividing 4x⁴ - 8x³ - x + 10 by x² - 4 is -33x + 74.
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How do I solve 2-2|7+2x|=0
Answer:
x=-3
x=-4
Step-by-step explanation:
-2|7+2x|=-2
|7+2x|=1
7+2x=1
x=-3
7+2x=-1
x=-4
Help please I can’t get past this question and I’ve looked everywhere for it and can’t find it. It’s one of those statements and reasons questions.
Answer:
see below
Step-by-step explanation:
<1 and <2 are supplements
<3 and <4 are supplements
<1 is congruent to <4
∠1 + ∠2 = 180 definition of supplementary angles
∠3 + ∠4 = 180 definition of supplementary angles
∠1 + ∠2 = ∠3 + ∠4 transitive property of equality
∠1 = ∠4 given
∠1 + ∠2 = ∠3 + ∠1 substitution property of equality
∠2 = ∠3 subtraction property of equality
∠2 ≅ ∠4 definition of congruent angles
The larger triangle is a dilation of the smaller triangle with a center of dilation at (1,−1)
What is the scale factor of the dilation? No Links and brainlest
18
14
4
8
Answer:
Scale factor = 4
Step-by-step explanation:
Scale factor = \(\frac{\text{Dimension of the larger (Image) triangle}}{\text{Dimension of the smaller (Preimage) triangle}}\)
From the given triangle,
Length of one side of the larger triangle = 8 units
Length of the corresponding side of the smaller triangle = 2 units
By substituting the values in the formula of scale factor,
Scale factor = \(\frac{8}{2}\)
Scale factor = 4
x2 + 5x - 36 which binomial is a factor of the polynomial?
What is the value of g( − 3) when g(x) = 2x-2
Hello,
\(g(x) = 2x - 2\)
\(g(-3) = 2 \times (- 3) - 2 = -6 - 2 = -8\)
Answer: g(-3) = -8
Given that:
g(x) = 2x - 2To find g(-3), insert (x = -3):
⇒ g(-3) = 2(-3) - 2
⇒ g(-3) = -6 - 2
⇒ g(-3) = -8
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Write an equation of a line that passes through the point T ( − 2, − 5 ) and is parallel to the line y = 5 x + 7 .
Answer:
y = 5x + 5
Step-by-step explanation:
the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.
two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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r(t)= sqrt(2)t e^t e^-t a. A formula for calculating velocity.
b. A formula for calculating acceleration. c. A formula for calculating distance. d. A formula for calculating position.
a. To calculate velocity, we need to take the derivative of the position function, r(t). So, the formula for velocity is v(t) = r'(t) = [sqrt(2)(e^t - e^-t) + sqrt(2)t(e^t + e^-t)]a.
b. To calculate acceleration, we need to take the second derivative of the position function, r(t). So, the formula for acceleration is a(t) = r''(t) = [sqrt(2)(e^t + e^-t) + sqrt(2)t(e^t - e^-t) + 2sqrt(2)t(e^t + e^-t)]a.
c. To calculate distance, we need to integrate the velocity function, v(t), over a certain time interval. So, the formula for distance is d(t1, t2) = ∫[t1, t2] v(t) dt = ∫[t1, t2] [sqrt(2)(e^t - e^-t) + sqrt(2)t(e^t + e^-t)]a dt.
d. To calculate position, we need to integrate the acceleration function, a(t), twice over a certain time interval. So, the formula for position is r(t1, t2) = ∫[t1, t2] ∫[t1, t] a(s) ds dt + r(t1), where r(t1) is the initial position at time t1.
a. Velocity (v) can be calculated using the derivative of the position function r(t). In this case, v(t) = dr(t)/dt.
b. Acceleration (a) can be calculated using the derivative of the velocity function v(t). So, a(t) = dv(t)/dt.
c. Distance (d) can be calculated by finding the definite integral of the velocity function v(t) with respect to time over a specific interval. In other words, d = ∫|v(t)|dt, where the integration limits correspond to the interval of time you're interested in.
d. Position (r) is given by the function r(t) = sqrt(2)t * e^t * e^(-t), which represents the position of the object at any given time t.
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Rich bought 4 ice cream cones for his kids. The
chocolate cones cost $1.75 each. The
strawberry cones cost $1.30 each. Rich spent
$6.55 in all. How many chocolate (c) and how
many strawberry (s) cones did he get?
Which of the following is an arithmetic sequence?
A bakery sells yesterday's bagels for a discounted rate of $2.64/dozen. What is the price per bagel?
Answer:
$0.22 per bagel
Step-by-step explanation:
A dozen is 12:
2.64/12 = 0.22
A relation is plotted as a linear function on the coordinate
plane starting at point A (0, -9) and ending at point B (7,5).
What is the rate of change for the linear function and what
is its initial value?
The rate of change is
and the initial value is
rate of change: -2
initial value: 0
rate of change: 2
initial value: 0
The unit rate of change of the given relation is equivalent to 2 units.
What is a relation?A relation between two sets is a collection of ordered pairs containing one object from each set.
Given is that a relation is plotted as a linear function on the coordinate
plane starting at point A(0, -9) and ending at point B (7,5).
The unit rate of change of the function can be given as -
r = (y₂ - y₁)/(x₂ - x₁).
Putting the values, we get -
r = (5 + 9)/(7- 0)
r = 14/7
r = 2
Therefore, the unit rate of change of the given relation is equivalent to 2 units.
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Find the length of the indicated line segment
CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Red
Step-by-step explanation:
Synthetic division saves lives.
9
If it takes 15 minutes for water in a pot to boil, the expression 20x + 15 can be used to find
the total time needed to cook x batches of boiled cornbread. Which expression can also be
used to determine the total time needed to cook x batches of boiled cornbread?
A
18x + 4x + 6+7
10x + 10x + 20 - 5
6(5x+5) 10x + 15
3(x+x+x+ 3) + 2x + 15
B
C
D
-
The expression that can also be used to determine the total time needed to cook x batches of boiled cornbread is 10x + 10x + 20 - 5
Selecting the expression that can also be usedFrom the question, we have the following parameters that can be used in our computation:
Cook x batches = 20x + 15
The question implies that we determine the expressions equivalent to 20x + 15
Using the above as a guide, we have the following:
18x + 4x + 6+7 = 22x + 1310x + 10x + 20 - 5 = 20x + 156(5x+5) + 10x + 15 = 40x + 453(x+x+x+ 3) + 2x + 15 = 5x + 24From the above we can see that
10x + 10x + 20 - 5 is equivalent to 20x + 15
This means that the expression that can also be used is 10x + 10x + 20 - 5
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Triangle LMN is similar to triangle OPQ. Find the measure of side PQ. Round your answer to the nearest tenth if necessary.
The measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4
What are similar triangles?Similar triangles are triangles that have equal sides and angles. The ratio of the similar sides is a constant.
According to the triangle given:
PQ/17 = OQ/LM
PQ/17 = 49/12
12PQ = 833
PQ = 69.4
Hence the measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4
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A ladder is leaning against a building so that the top of the ladder is touching the roof line. The bottom of the ladder is 8 feet from the building and the ladder is 17 feet long. How far is the roof line from the ground? 15 ft 9 ft 18.8 ft 25 ft
Answer: 15 ft
Step-by-step explanation:
I took the test :)
Answer:
its 15 but can yall do step by step
Step-by-step explanation:
how would you adjust the volume of the container in order to maximize the product yield in the following reaction? select the single best answer.
The best approach to adjust the volume of the container in order to maximize the product yield is to evaluate the specific reaction and the desired product yield.
Firstly, the reaction conditions need to be optimized for the specific reaction, such as temperature, pressure, and catalysts. Secondly, the volume of the container should be chosen to match the reaction conditions, so that there is sufficient space for the reaction to occur without any limitations due to a limited volume.
In general, if the reaction is exothermic reaction, the volume of the container should be larger to prevent overheating, while if the reaction is endothermic, a smaller volume may be used to increase the concentration of reactants. Additionally, if the reaction is sensitive to air or moisture, a smaller volume can help to minimize the exposure to these factors.
Ultimately, the optimal volume of the container will depend on the specific reaction and the desired product yield. In some cases, a larger volume may be preferred to allow for a longer reaction time or to enable continuous production. In other cases, a smaller volume may be more appropriate to increase the concentration of reactants and improve the reaction kinetics. Therefore, the best approach is to evaluate the specific reaction and the desired product yield, and choose a container volume that is best suited for those factors.
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Does (1, 0) make the equation y = x true?
yes
no
Can u guys help me with this question!! :)
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2