Answer:
learning task 3.4
1) p-3
2) (8÷d)+6
3) 11-(9×4)
4) 4÷2
5) (10+6)÷4
valuate the
expression
12 - 3y
2
+
√²v=4] for y = 3.
2y -
The result of the formula \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is \(-29/2\) .
What are the ways to analyse an algebraic expression?When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\) has a value of \(-29/2\) .
To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.
If \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate \(12 - 3y2 + (v=4) / (2y - 2)\) for \(y = 3\) .
\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)
\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)
Therefore, The result of the formula \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is \(-29/2\) .
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in order for the parallelogram to be a rhombus x=
Answer:
17
Step-by-step explanation:
Properties used:-
All sides of rhombus are equal therefore in the triangles
EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL
then we use alternate interior angles
Then we get,
3x-11=x+23
2x=34
x=17
Helppp I need the ending numbers ?
The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
Here, we have,
given that,
the expression is:
4x^2 - 4
now, we have to simplify this.
we know that ,
The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.
It is one of the algebraic identities.
It is used to factorize the binomials of squares.
The a^2 - b^2 formula is given as:
a^2 - b^2 = (a - b) (a + b).
so, we have,
4x^2 - 4
= (2x)^2 - 2^2
= (2x -2 ) (2x+2)
Hence, The solution is, the simplification of the equation is :
4x^2 - 4 = (2x -2 ) (2x+2)
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Help plz:))) I’ll mark you BRAINLIEST
Answer:
Given - A triangle UTS
angle U = 43°
angle T = 103°
As we know that the side opposite to the largest angle is longest. angle T is longer so side opposite to it Us is longer
US , UT , TS
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
Help I’ll give BRAINLIEST !!!!
Answer:
AC
Step-by-step explanation:
Answer:
-3, 2 & 3, -2
Step-by-step explanation:
If you plot the equation, the line goes through a and c
2/5 > 1/2 or 2/5 <1/2
Answer:
It's 2/5 <1/2.
4 3/8 + 5 1/2= in fractions
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
A kite is a flying object consisting of a frame made of light materials, such as bamboo or plastic, covered in
paper or cloth, and flies with a string attached. The shape of a kite and the way it flies can be modeled using
a system of linear equations, which describe the relationships between variables in a mathematical model. In
this case, the variables might represent the lift and drag forces on the kite, the angle of the kite string, and
the wind speed and direction. By solving the system of linear equations, engineers and scientists can
understand how the kite will behave under different conditions and make predictions about its performance.
Answer the following.
1. A kite manufacturer produces two types of kites: standard and deluxe. The standard kite requires 2
meters of fabric and 5 meters of string, while the deluxe kite requires 3 meters of fabric and 7 meters
of string. If the manufacturer has 200 meters of fabric and 450 meters of string, how many of each
type of kite can they produce to maximize their profit?
The number of each kite the manufacturer can produce to maximize profit are;
90 standard kites or 64 deluxe kites
What is profit maximization?Profit maximization is a process used to increase the profit of a company to the highest levels.
Let x represent the number of standard kite produced and let y represent the number of deluxe kite produced. Let p represent the profit from selling one standard kite and let q represent the profit from selling one deluxe kite.
The constraints inequalities that can be obtained to solve the question using linear programming methodology are therefore;
2·x + 3·y ≤ 200 (The fabric constraints)
5·x + 7·y ≤ 450 (The string constraints)
x ≥ 0, y ≥ 0 (Non–negative constraints)
The objective function which is the total profit can be presented as follows;
z = p·x + q·y (total profit)
Therefore, we get;
Maximize: z = p·x + q·y
Subject to:
2·x + 3·y ≤ 200
5·x + 7·y ≤ 450
x ≥ 0, y ≥ 0
The graph of the above inequalities indicates that we get the following coordinates of the vertices of the feasible region;
(0, 64 2/7), (90, 0), (0, 0)
The objective function indicates that we get;
z(0, 64 2/7) = p × 0 + q × 64 2/7 = (64 2/7)·q
z(90, 0) = p × 90 + q × 0 = p × 90 = 90·p
z(0, 0) = p × 0 + q × 0 = 0
The company can produce 90 standard kites or 64 deluxe kites to maximize their profit
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Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?
The angle formed by the two hands have a measure less than 1/4 turn
How to relate the measure of the angle to 1/4 turn?From the question, we have the following parameters that can be used in our computation:
A clock with the hour hand at 12 and the minute hand at 2
The turn represented by the above is represened as
Turn = (2 * 30)/360
When simplified, we have
Turn = 1/6
Next, we have
Angle at the turn = 1/4
1/6 is less than 1/4
This means that the angle formed by the two hands have a measure less than 1/4 turn
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Find the zeros of g(x)=2x^2+32
Answer:
x = 4i, − 4i
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
x = 4i, − 4i
what is f(-1) for the graph shown below?
Please help
Answer:
f(-1)= -3
Step-by-step explanation:
We all know f(x) = y
Since x= -1, y= -3 as per given in the graph, so
f(-1)=-3
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
one half(k + 5)
one half k + 5
one half + k + 5
one half k > 5
Answer:
½k+ 5
Step-by-step explanation:
Jonah is making half of Karen's salary (½k) AND 5 dollars more. aka addition. so ½k+5
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
A family buys a studio apartment for 150000 . They pay a down payment of 45000 . a. Their down payment is what percent of the purchase price? b. What percent of the purchase price would a $7500 down payment be?
Answer:
Step-by-step explanation:
20 points and brainliest if answered correctly
Answer:
\(y=9,x=4\)
Step-by-step explanation:
System of equations:
\(x+y=13\)
\(60x+80y=960\)
_____________
simplify:(isolate x)
\(x=\)\(\frac{4(-y+12)}{3}\)
\(x+y=13\\\)
substitute equation for x into second equation:
\(\frac{4(-y+12)}{3} +y=13\\\)
simplify:
\(\frac{-y+48}{3}=13\\ y=9\\\)
substitute y into equation for x:
\(x=4\)
Ray YL bisects ZAY B. Find the measurement of
ZBYL.
B
(7x + 17)
(3(4x - 1))
Y
0 90
0 45
0 None of the above
0 20
Answer:
B. 45
Step-by-step explanation:
YL is the angle bisector of ∠AYB, so the two angles are congruent:
∠AYL ≅ ∠BYLSubstitute and solve for x:
7x + 17 = 3(4x - 1)7x + 17 = 12x - 312x - 7x = 17 + 35x = 20x = 4Find the value of ∠BYL:
3(4*4 - 1) = 3(16- 1) = 3(15) = 45
This is matching the answer option B.
The red angles must be equal as YL is bisector
7x+17=3(4x-1)7x+17=12x-317+3=12x-7x20=5xx=4<BYL
3(4(4)-1)3(16-1)3(15)45Option B
A veterinarian has 6 cats and 10 dogs in a kennel. What is the ratio of cats to dogs?
Answer:
.6
...................
Answer: 6 : 10 or 3:5
Step-by-step explanation:
If they are 6 cats and 10 dogs then the ratio of cats to dogs it 6 to 10 or 6/10
who helps me do this
Answer:
1. True
2. false.
3. true
4. false
5. true
Tessa and her grandmother are decorating Tessa's Quinceanera dress using two types of beads. They plan to use a total of 900 beads arranged in the pattern shown. How many of each type of bead do they need
Using proportions, it is found that they need 750 white beads and 150 red beads.
What is a proportion?A proportion is a fraction of a total amount.
Researching the problem on the internet, it is found that the pattern states the following:
\(\frac{5}{6}\) of the beads are white.\(\frac{1}{6}\) of the pattern is red.Hence:
\(\frac{5}{6} \times 900 = 750\)
\(\frac{1}{6} \times 900 = 150\)
They need 750 white beads and 150 red beads.
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To describe the temperatures for the week, we can apply the following statistical tools:
a) Find the mean, median, mode, and range.
c) Construct a line graph.
d) Construct a stem and leaf plot.
What are the statistical tools for describing temperatures?We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).
The mean temperature is the average, which shows the overall trend in temperature changes. It is computed by adding up the temperatures for the period and diving by the number of data values.
In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.
We can estimate the difference between the highest and lowest temperature for the week with the range.
A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.
Thus, we can use Options A, C, and D to describe the temperature.
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Question Completion:What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)
Mon - 65°
Tues - 67°
Wed - 66°
Thur - 70°
Fri - 72°
Sat - 68°
Sun - 69°
a) Find the mean, median, mode, and range.
b) Survey people about the weather.
c) Construct a line graph.
d) Construct a stem-and-leaf plot.
Use your graphing calculator’s logarithmic regression option (LnReg) to obtain a model of the form that fits to the data. Use the function to find the US population in 2010. Round to the nearest tenth of a million. Does this function value overestimate or underestimate the US population in 2010 given in the table? By how much? According to the logarithmic regression model, when will the US population be 400 million?
The logarithmic regression equation that models the situation is given as follows:
y = 242.9037 + 23.7097ln(x).
The estimated population in 2010 is of:
313.9 million
Which overestimates the actual amount by 5.2 million.
The prediction for when the population will be of 400 million is of:
Year of 2,744.
How to obtain the logarithmic regression equation?The logarithmic regression equation is obtained inserting the points of the data-set into a logarithmic regression calculator.
From the table given by the image at the end of the answer, the points are given as follows:
(0, 248.8), (10, 281.4), (20, 308.7), (30, 331.4), (31, 331.9).
Inserting these points into a calculator, the equation is given as follows:
y = 242.9037 + 23.7097ln(x).
2010 is 20 years after 1990, hence the estimate is given as follows:
y = 242.9037 + 23.7097 x ln(20) = 313.9 million.
The overestimate of the actual value, from the table, is of:
313.9 - 308.7 = 5.2 million.
The prediction for when the population will be of 400 million is obtained as follows:
400 = 242.9037 + 23.7097 x ln(x)
ln(x) = (400 - 242.9037)/23.7097
ln(x) = 6.6258.
x = e^(6.6258)
x = 754.
Hence during the year of 2,744.
Missing InformationThe table is given by the image presented at the end of the answer.
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2/3(3z-6) please help
Answer:
2z-4
Step-by-step explanation:
By using distributive property, 2/3 * 3z = 2z and 2/3 * -6 = -4
This means the answer is 2z-4
\(Answer: \large\boxed{2z-4}\)
Step-by-step explanation:
To solve:
\(\frac{2}{3} (3z-6)\)
We must use the distributive property and distribute 2/3 to the 3z and -6
...
\(\frac{2}{3} (3z-6)\)
\(=\frac{2}{3} (3z) + \frac{2}{3} (-6)\)
\(=\frac{6z}{3} + -\frac{12}{3}\)
\(=2z-4\)
Help pls and thank you
Pls help full equation please 18 through 20 please all answers plsss
Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-8,3), m=5
1) Since we've been given the slope m= 5 and one point (-8,3) let's plug them into the point-slope, to get the equation of the line
\(\begin{gathered} y-y_0=m(x-x_0) \\ y-3=5(x-(-8) \\ y-3=5(x+8) \\ y-3=5x\text{ +40} \end{gathered}\)2) So, the equation of the line is in the point-slope form:
y-3=5x+40
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
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Answer:
D (4,11)
Step-by-step explanation:
Answer: it’s d
x is just going up by 1 and y is going up by 2
Geometry help please.
Answer: M= 9,2 (Quadrant |||) L= -9,2 J= 9,6 K=-9,6
Step-by-step explanation:
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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