ANSWER:
The value of x is 2 and of y is 4
\((2,4)\)STEP-BY-STEP EXPLANATION:
We have the following equation system
\(\begin{gathered} y=4 \\ -2x+4y=12 \end{gathered}\)solving for substitution:
\(\begin{gathered} -2x+4\cdot4=12 \\ -2x+16=12 \\ -2x=12-16 \\ x=\frac{-4}{-2} \\ x=2 \end{gathered}\)2 1/3 ÷y=1 2/5 ÷(−1.1)
Answer:
1.2x - 10.8 - 2.3x - 9.2 = -1.1x - 20; Rewrite as follows. (x 2y)(xy 2) = (x 2 x)(y y 2) ... x + 2.3; - x / 5 = 2; (x - 4) / (- 6) = 3; (-3x + 1) / (x - 2) = -3; x / 5 + (x - 1) / 3 = 1/5 ... 2 x 2 - 8 = 0; x 2 = -5; 2x 2 + 5x - 7 = 0; (x - 2)(x + 3) = 0; (x + 7)(x - 1) = 9; x(x - 6) = -9 ... For what value of the constant k does the quadratic equation x 2 +2x = - 2k .
Step-by-step explanation:
Evaluate log4 exponent 0.5
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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What is the value of y in the equation 4 + y = −3? (1 point) a 7 b 1 c −1 d −7
Answer:
-7
Step-by-step explanation:
One autumn morning, the temperature went up from -4°C to 5°C
a)By how many degrees did the temperature rise? During the afternoon, the
temperature then fell by seven degrees from 5OC.
b)What was the temperature at the end of the afternoon?
Please Help Me
And Win This Lottery.....
write the equation of the line that has a slope of O and passes through the point (6, -8).
Answer:
y=-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-8)=0(x-6)
y+8=0
y=0-8
y=-8
Bill spent less than $26 on a game and some composition books. The game cost $6. How much did the composition books costs? Using a variable, write an inequality to represent and solve the situation.
Step-by-step explanation:
C = cost of a composition book; 5 composition books purchased
T = total amount spent < $26
M = cost of magazine = $4
T = M + 5C < $26
$4 + 5C < $26
The problem statement did not ask for a solution, but here it is:
$4 + 5C < $26 ⇒ 5C < $22 ⇒ C < $4.40
Cost of a composition book < $4.40
8x - 1
4x + 5
2x + 11
. What is the value of x?
Answer:
x = 3/2
Step-by-step explanation:
Since this is an isosceles triangle, the length of two sides would be congruent.
Those two sides are represented with 8x - 1 and 4x + 5 respectively.
We can write the following equation based on the above mentioned information:
8x - 1 = 4x + 5
Transfer like terms to the same side of the equation.8x - 4x = 5 + 1
Add/subtract expressions.4x = 6
Divide both sides by 4.x = 6/4 this can be simplified to 3/2
From midnight to 11:00 am, the temperature dropped 1.1°C each hour. If the temperature at 11:00 am was -16.1°C, what was the temperature at midnight?
Answer:
-41.4°C
Step-by-step explanation:
1.1 * 23 = 25.3
16.1 + 25.3 = 41.4
(I prefer working with positive numbers and just switch the sign at the end)
Hope this helped.
-Pepsi
The temperature at midnight was approximately -28.2°C, here the temperature dropped by 1.1°C each hour.
From midnight to 11:00 am, there are a total of 11 hours (since 11:00 am is 11 hours after midnight).
Given that the temperature dropped 1.1°C each hour, the total temperature drop is 1.1°C/hour × 11 hours = 12.1°C.
To find the temperature at midnight, we subtract the total temperature drop from the temperature at 11:00 am:
Temperature at midnight = Temperature at 11:00 am - Total temperature drop
= -16.1°C - 12.1°C
= -28.2°C
Therefore, the temperature at midnight was approximately -28.2°C.
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Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
Answer:
To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:
A' = (-3, 3 + 3) = (-3, 6)
B' = (0, 7 + 3) = (0, 10)
C' = (-3, 0 + 3) = (-3, 3)
Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).
So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).
What is angle
Enter your answer in the box
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
Translate the English phrase into an algebraic expression: the sum of 3x2y and 7xy2
Answer:
the sum of 3x2y and 7xy2 is 3x(2y) + 7x(y2)
The sum of 3x²y and 7xy² is 3x²y + 7xy².
What is a numerical expression ?A numerical expression is a mathematical expression written in terms of numbers and their operations.We can form numerical expression from given statements we can also form numerical expressions by observing things around us.
According to the given question we have to translate the English phrase into an algebraic expression: the sum of 3x²y and 7xy².
Sum means addition.
The sum of 3x²y and 7xy² is 3x²y + 7xy².
We can also take xy as common and rewrite this equation.
3x²y + 7xy² = xy(3x + 7y).
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please help with this! giving brainliest and 20 points
Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:
Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 2 6 42
Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work
Step-by-step explanation:
50 tries experimentalprobabilities:
open : 2/50 = 1/25
closed 6/50 = 3/25
side : 42/50 = 21/25
Answer:
Open Side Up: 2/50 = 1/25 = 4%
Closed Side Up: 6/50 = 3/25 = 12%
Landing on Side: 42/50 = 21/25 = 84%
As part of a sweepstakes, Carlos is given one dollar onthe first day. Carlos is told that the number of dollarsgiven each day is double the number given the daybefore. How many dollars will he earn on day 8?
Given that Carlos gets one dollar on the first day, and that the number of dollars given is double the number he gets the previous day.
Thus, from day 1, he gets
\(1,\text{ 2, 4, 8, }\ldots\)This forms a geometric sequence whose respective terms are evaluated as
\(\begin{gathered} T_n=ar^{n-1}-----\text{ equation 1} \\ \text{where } \\ a\Rightarrow first\text{ term of the sequence} \\ r\Rightarrow common\text{ ratio of the sequence, evaluated as the quotient betw}een\text{ } \\ \text{the two consecutive terms} \\ n\text{ }\Rightarrow\text{ the position occupied by the term of the sequence} \\ T_n\Rightarrow value\text{ of the nth term} \end{gathered}\)Thus, from the defined parameters,
\(\begin{gathered} a=1 \\ r=\frac{2}{1}=\frac{4}{2}=\frac{8}{4}\text{ =2} \\ n\text{ = 8} \\ T_n\text{ is unknown.} \end{gathered}\)Thus, substitute the above values into equation 1
\(\begin{gathered} T_8=1(2)^{8-1} \\ \Rightarrow2^7 \\ T_{8\text{ }}=128 \end{gathered}\)Hence, on day 8, he will receive 128 dollars.
The third option is the correct answer.
Leo is adding gravel to the edge of the driveway. He orders 6 bags of gravel for $252. How much would it cost if leo orders 8 bags of gravel?
Answer:
no
Step-by-step explanation:
(a) Find the average and SD of the list 41, 48, 50, 50, 54, 57.
(b) Which numbers on the list are within 0.5 SDs of average? within 1.5 SDs of average? 2.
(a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary. (i) 50, 40, 60, 30, 70, 25, 75 (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
(b) Repeat, for the following two lists. (i) 50, 40, 60, 30, 70, 25, 75 (ii) 50, 40, 60, 30, 70, 25, 75, 99, 1
Answer:
1a) Mean = 40
Standard Deviation = 5
b)i Which numbers on the list are within 0.5 SDs of average?
48, 50, 50
ii) within 1.5 SDs of average?
48, 50, 50, 54, 57
2a)Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.
The list with the smaller S.D = (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.
b) Repeat, for the following two lists.
The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75
This because the results obtained from the second list (i) is close to the mean , therefore, the Standard deviation is small.
Step-by-step explanation:
1a) Find the average and SD of the list 41, 48, 50, 50, 54, 57.
Average (Mean) = Sum of terms/Number of terms
= 41+ 48 + 50 + 50+ 54 + 57/6
= 300/6
= 50
Standard Deviation for the population= √(x - Mean)²/n
=√ (41 - 50)²+ (48- 50)² + (50- 50)² +(50- 50)² + (54 - 50)² +(57- 50)²/6
= √81 + 4 + 0 + 0 + 16 + 49/6
= √150/6
= √25
= 5
(b) Which numbers on the list are within 0.5 SDs of average?
Mean ± Standard deviation × 0.5
50 ± 5 × 0.5
50 - 2.5
= 47.5
50 + 2.5
= 52.5
The numbers on the list are within 0.5 SDs of average are number within 47.5 and 52.5 : 48, 50, 50
ii) Within 1.5 SDs of average?
Mean ± Standard deviation × 1.5
50 ± 5 × 1.5
50 - 7.5
= 42.5
50 + 7.5
= 57.5
The numbers on the list are within 1.5 SDs of average are numbers within 42.5 and 57.5: 48, 50, 50, 54, 57
2 (a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.
(i) 50, 40, 60, 30, 70, 25, 75
Mean is already give as 50
Standard Deviation = √(x - mean)²/n
= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n
= √0 + 100 + 100 + 400+ 400 + 625 + 625/7
= √2250/7
= √321.4285714
= 17.92842914
(ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
Standard deviation = √(x - mean)²/n
√(50 -50)²+(40-50)² + (60 -50)²+ (30-50)² + (70 - 50)²+ (25-50)² +(75-50)² + (50 -50)² + (50 - 50)²+(50 - 50)²/10
= √0 + 100 + 100 + 400 + 400 + 625 + 625 + 0 + 0 + 0/10
√2250/10
√225
= √15
The list with the smaller S.D = Second list (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.
(b) Repeat, for the following two lists.
(i) 50, 40, 60, 30, 70, 25, 75
Mean is already give as 50
Standard Deviation = √(x - mean)²/n
= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n
= √0 + 100 + 100 + 400+ 400 + 625 + 625/7
= √2250/7
= √321.4285714
= 17.92842914
(ii) 50, 40, 60, 30, 70, 25, 75, 99, 1
Standard Deviation = √(x - mean)²/n
= √(50-50)² +( 40 -50)² +( 60 - 50)² + (30 - 50)²+( 70 - 50)² + (25 - 50)² + (75 - 50)² +(99 - 50)² +(1 -50)²/9
= √0 + 100 + 100 + 400 + 400+ 625 + 625 + 2401 +2401/9
= √7052/9
= √783.5555556
= 27.99206237
The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75
This because the results obtained from the first list(i) is close to the mean , therefore, the Standard deviation is small.
I need help with all these 5 questions please please help me with these questions
Answer:
1. (4,5) 2. D 3. J 4.D 5. 64.8 oz
Step-by-step explanation:
math
Dale is on his way home in his car. He has driven 24 miles so far, which is three-fourths of the way home. What is the total length of his drive ?
Answer:32
Step-by-step explanation:
24=(3/4)d multiply both sides by 4/3(the reciprocal) and you get d=32
Linda received her salary on Friday. She spent one-half of her salary on rent and then spent $268.00 on her electric and water bill. Next she spent one-half of what was left on her phone bill. After spending $52.00 on gas for her car, Linda had $82.00 left. How much did Linda spend on rent?
A. $260.00
B. 536.00
C. 618.00
D. 1,072.00
Answer:
B. $536.00
Step-by-step explanation:
For this problem we need to evaluate top down to build our equation, and then solve bottom up to find how much she spent on rent.
Let Z represent Linda's salary
Let Y represent Linda's Water & Electric (given $268)
Let X represent Linda's Phone Bill
Let W represent Linda's gas bill (given $52)
We are given that after all Linda's expenses, she has $82 left.
So let's find Z/2.
Z/2 = Y + k
Where k is the remainder after Linda pays Y. Hence, k will be equivalent to X + W + 82.
So we can write:
Z/2 = Y + X + W + 82
Using our knowns, we can write in:
Z/2 = 268 + X + 52 + 82
We know that X is (Z/2 - Y)/2 from the sentence, "Next, she spent one-half of what she had left on her phone bill." So we can say X = k/2.
X = (X + W +82)/2
X = X/2 + 52/2 + 82/2
X = X/2 + 26 + 41
X - X/2 = X/2 - X/2 + 67
X/2 = 67
X = 134
So, now we can finish our equation to find Z/2.
Z/2 = 268 + X + 52 + 82
Z/2 = 268 + 134 + 52 + 82
Z/2 = 536
Hence, we have found that Linda spent half of her salary on rent, which was $536.00.
Cheers.
Answer:
$536 ✅Step-by-step explanation:
To solve this, we need to determine how much Linda's salary was. Then, we can divide the number by 2 to get the answer, as she spent 1/2 of her salary on rent.
The first step is to add up the remaining 1/2 and write an equation.
$268 + 1/2(s - 268) + $52 + $82 = s
Now, we combine like terms.
$402 + 1/2(s - 268) = s
$402 + 1/2s - 1/2(268) = s
$402 + 1/2s - $134 = s
$268 + 1/2s = s
1/2s = s - $268
1/2s = $268
s = $536
Now, we can check our answer by the equation
$402 + 1/2(536) - 1/2(268) = 536
$402 + 268 - 134 = 536
536 = 536 ✅
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Draw and set up the integrals for the area enclosed by the y–axis, the curve y = (x + 1)1/2 and y = 2. Compute one of them.
Region II only please
If the definitions of type I and type II regions is the same as in the link provided, then as a type I region the integration domain is the set
\(R_{\rm I} = \left\{(x,y) \mid 0 \le x \le 3 \text{ and } \sqrt{x+1} \le y \le 2\right\}\)
and as a type II region,
\(R_{\rm II} = \left\{(x,y) \mid 0 \le x \le y^2-1 \text{ and } 1 \le y \le 2\right\}\)
where we solve y = √(x + 1) for x to get x as a function of y.
A. The area of the type I region is
\(\displaystyle \iint_{R_{\rm I}} dA = \int_0^3 \int_{\sqrt{x+1}}^2 dy \, dx = \int_0^3 (2 - \sqrt{x+1}) \, dx = \boxed{\frac43}\)
B. The area of the type II region is of course also
\(\displaystyle \iint_{R_{\rm II}} dA = \int_1^2 \int_0^{y^2-1} dx \, dy = \int_1^2 (y^2-1) \, dy = \boxed{\frac43}\)
I've attached a plot of the type II region to give an idea of how it was determined. The black arrows indicate the domain of x as it varies from the line x = 0 (y-axis) to the curve y = √(x + 1).
A bag contains four red marbles and seven blue marbles. Another bag contains eight green marbles and three yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow.
The sum of these two probabilities is the likelihood of selecting one blue marble and one yellow stone 21/121.
What is probability?The study of random events and their results falls under the category of probability, which is a branch of mathematics. . It is stated as a number between 0 and 1, where 0 denotes the absence of an event and 1 denotes its occurrence 2. Probability can be used to gauge how likely certain outcomes are to occur.
Picking one blue marble out of a bag containing four red marbles and seven blue marbles has a 7/11 chance of happening.
Picking one yellow marble out of a bag containing three yellow marbles, eight green marbles, and eight green marbles has a 3/11 chance.
The sum of these two probabilities is the likelihood of selecting one blue marble and one yellow stone, which is
= (7/11) * (3/11)
= 21/121.
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please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Simplify the expression 8(5x-3y) O 40x- 247 O 4x- 24y 40x-2y 40x+ 247
Answer: 40x-24y
Step-by-step explanation:
uhhh mathy stuff
De los 12 jugadores del equipo 2/8 son delanteros
There are a total of 3 forwards on the team.
How many forwards are there on the team?A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar
Given:
2/8 of the players are forwards.
Total number of players on the team = 12
We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.
Fraction representing the forwards:
= 2/8
= 1/4
Total forwards on the team:
= 12 * (1/4)
= 3.
Translated question:
Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?
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anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
find the perimeter of OQR
The perimeter of the triangle OQR is 68 cm
How to determine the perimeter of the triangle OQRFrom the question, we have the following parameters that can be used in our computation:
Circles with the centers O, Q and R
When these centers are connected, the connection forms a triangle
The triangle OQR
Also from the question, we have the following values of radii
Radii = 8 cm, 11 cm and 15 cm
The perimeter of the triangle OQR is calculated as
Perimeter = Twice the sum of the radii
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 *(8 + 11 + 15)
Evaluate the sum
Perimeter = 2 * 34
Evaluate the products
Perimeter = 68
Hence, the perimeter is 68 cm
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1)
Science 5
Measurement Assignment
Name each measurement instrument below. Then, indicate which
type of measurement is performed with each one. Remember,
some instruments can be used for more than one type of
measurement!
Instrument
Name of Instrument
Measurement Type
Answer: See below
Step-by-step explanation:
The first is a beaker, it's used to measure liquid volume
The second is a ruler, it's used to measure length.
Last is a thermometer, it's used to measure temperature.
Find the length of VW.
Answer:
1.8
Step-by-step explanation:
it is on the diagram
Please help!!! I have a chance to get $50 if I get all of these questions right!!
If you don't know all the answers please don't answer. Please answer all of the questions correctly like be 110% sure that you are correct on all of them please!! I put the questions in as an attachment like a screenshot please please please help and answer all the questions and answer them with 110% certainty that you know what you are doing!!
Answer:
number 4 is 244 number 5 is 43
Step-by-step explanation:
order of operations is key here
4:6 to the power of 3 is first
216+7*4
now do 7*4
216+28
now simplify
244
5: this one is a little bit more tricky
do the stuff inside the parentheses first
4^2+1=17
3(17)-2^3
exponent next
3(17)-8
multiply next
51-8
43 is your answer
there you go
The measure of an angle is 1°. Find the measure of the complement.
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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