Answer:
well i mean ur right who said were friends
Step-by-step explanation:
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)
Answer:
x^2 + 5x - 14
Step-by-step explanation:
We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.
Therefore, we can put this into brackets as one bracket must equal 0.
(x - 2) (x + 7)
After this we expand, which is a process easier to search up
The answer is:
x^2 + 7x - 2x - 14
We can simplify this to:
x^2 + 5x - 14
x^2 represents x squared in case you were wondering
Therefore, the answer is:
x^2 + 5x - 14
How many four- digit numbers can be formed from the digit 1,3,4,5,6&7 where the digit is used at most once?( repetition are not allowed)
a)if the number must be odd
b)if the number must be even
Answer:
A. 24
B. I don't think you can make any since you can't repeat numbers and there is only two even numbers
Also, if you use all six numbers, it's 120 combos
The formula for finding the surface area of a cube is 6s2, where s is the length of each side of the square. Evaluate for s=10 to find the number of square centimeters (cm2) for the surface area of a cube with a side length of 10 cm. i need helpp
The surface area of a cube with a side length of 10 cm is 600 \(cm^{2}\).
Given:
The formula for finding the surface area of a cube is 6s2.
side length s = 10 cm.
Surface area of a cube = 6\(s^{2}\) = 6*s*s
= 6 * 10 * 10
= 60 * 10
= 600 \(cm^{2}\).
Therefore the surface area of a cube with a side length of 10 cm is 600 \(cm^{2}\).
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Combine Like Terms. 7x - 5x
Answer:
2x
Step-by-step explanation:
7x= 7*x
5x=5*x
Subtract.
7-5=2
2*x=2x
So 2x is the answer.
Answer:
2x
Step-by-step explanation:
7x - 5x
Factor out x.
x ( 7 - 5 )
Subtract numbers.
x ( 2 )
Distribute x to 2.
2x
Can anyone help me with this?
a. The approximate value of the y-intercept is
b. The approximate value of the slope is
c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.
How to determine the y-intercept and slope of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (100 - 60)/(45 - 5)
Slope (m) = 40/40
Slope (m) = 1
At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 60 = 1(x - 5)
y = x - 5 + 65
y = x + 60
Part a.
Based on the equation above, the y-intercept is equal to 60.
Part b.
Based on the equation above, the slope is equal to 1.
Part c.
In this scenario, the expected number of cones of ice cream when the temperature is 30°C;
y = x + 60
y = 30 + 60
y = 90°C.
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If you roll two fair six sided dice, what is the probability that the sum is 9 is higher
Answer:
Answer = 27.78%
Step-by-step explanation:
There are 10 outcomes with sum 9 or higher.
There the required probability is 10/36 = 5/18 = nearly 27.78% chances of getting a sum of 9 or higher on rolling two 6-sided dice.
idk if this is correct
Help plz ill give v bucks
Answer:
a = 4
Step-by-step explanation:
Lets call a² the side a
Let's call b² the side with 3
The hypotenuse, the longest side and the opposite side from the 90° angle is c²
a² + b² = c²
a² + 3² = 5²
a² + 9 = 25
subtract 9 from both sides
a² = 16
sq root 16 = 4
a = 4
If my answer is incorrect, pls correct me!
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-Chetan K
Given g(x) → 4(x+2)+5, calculate the value of g(2)
21
Plug the number 2 into the equation.
4(2+2)+5
4*4+5
16+5
21
Answer:
21
Step-by-step explanation:
4(2+2)+5 = 4(4)+5=16+5=21
Can someone do this assuming that it is infinite and as well as assuming it's not infinite? Thanks!
Answer:
see below
Step-by-step explanation:
4,7,12,19
We are adding 3,5,7,9..... each time
The sequence is not arithmetic because we are not adding a constant. It is not geometric since we are not multiplying by a constant term each time
There is no common difference or common ratio.
The explicit formula is
an =n^2 +3
The recursive formula is
(n+1)^2 +3 - (n^2 +3)
n^2 +2n+1+3 - ( n^2+3)
2n+1
a sub(n+1) = a sub( n) + 2n+1
The 10th term
an = n^2 +3
Let n=10
an = 10^2+3
= 100+3
= 103
summation
see image
since the numbers are increasing and greater than 1 the sum does not exist
Find factors of x³+12x²-19x= -20
Answer:
No Factors
Step-by-step explanation:
\(x^3-12x^2-19x+20 = 0\\Let \ p(x) = x^3-12x^2-19x+20\)
Factors of 20 = ±1, ±2 , ±4 , ±5 , ±10 and ±20
±1, ±2 and ±3 are not the factors of given polynomial.
Putting x = 4 in the given polynomial
\(p(4) = (4)^3+12(4)^2-19(4)+20\\p(4) = 64+192-76+20\\p(4) = 200\)
So, x = 4 is not a factor of p(x)
Putting x = -4 in the given equation
\(p(-4) = (-4)^3+12(-4)^2-19(4)+20\\p(-4) = -64+192-76+20\\p(-4) = 73\)
So, x = -4 in the given equation
Putting x = 5 in the given equation
\(p(5) = (5)^3+12(5)^2-19(5)+20\\p(5) = 125+300-95+20\\p(5) = 350\)
So, x = 5 is not a factor of p(x)
Putting x = -5 in the given equation
\(p(-5) = (-5)^3+12(-5)^2-19(-5)+20\\p(-5) = -125+300+95+20\\p(-5) = 290\)
So, x = -5 is not a factor of p(x)
Putting x = 10 in the given equation
\(p(10) = (10)^3+12(10)^2-19(10)+20\\p(10) = 1000+1200-190+20\\p(10) = 2030\)
So, x = 10 is not a factor of p(x)
Putting x = -10 in the given equation
\(p(-10) = (-10)^3+12(-10)^2-19(-10)+20\\p(-10) = -1000+1200+190+20\\p(-10) = 410\)
So, x = -10 is not a factor of p(x)
Putting x = 20 in the given equation
\(p(20) = (20)^3+12(20)^2-19(20)+20\\p(20) = 8000+4800-380+20\\p(20) = 12440\)
So, x = 20 is not a factor of p(x)
Putting x = -20 in the given equation
\(p(-20) = (-20)^3+12(-20)^2-19(-20)+20\\p(-20) = -8000+4800+380+20\\p(-20) = -2800\)
So, x = -20 is not a factor of p(x)
From the above solution, we conclude that the given equation can not be factorized and thus, has no factors.
Answer:
\(\boxed{\mathrm{No \: factors}}\)
Step-by-step explanation:
\(x^3 +12x^2 -19x= -20\)
Add 20 on both sides.
\(x^3 +12x^2 -19x+20= 0\)
Add 67x and 44 on both sides.
\(x^3 +12x^2 +48x+64= 67x + 44\)
Factor left side of the equation.
\((x+4)(x+4)(x+4)= 67x + 44\)
\((x+4)^3=67x+44\)
Subtract 67x and 44 on both sides.
\((x+4)^3-67x-44=0\)
Cannot be factored further.
This is a prime expression. A prime expression cannot be factored.
We cannot factor out x from the expression, there are no factors.
Question 10 (1 point)
A
33
7 in.
B
C
The value of AB is,
⇒ AB = 5.9
(rounded to nearest tenth)
We have to given that,
A right triangle ABC is shown.
Now, By trigonometry formula,
we get;
⇒ cos 33° = Base / Hypotenuse
Substitute all the values, we get;
⇒ cos 33° = AB / 7
⇒ 0.84 = AB / 7
⇒ AB = 0.84 × 7
⇒ AB = 5.88
⇒ AB = 5.9
(rounded to nearest tenth)
Thus, We get;
AB = 5.9
(rounded to nearest tenth)
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The price of a item has reduced by 85% the original price was $60
Answer:
The price now would be 9 dollars
Step-by-step explanation:
60 x 85% is 51 and you subtract that from 60
Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?
Answer:
5.83 miles
Step-by-step explanation:
Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:
d² = (3 mi)² +(5 mi)² = 34 mi²
d = √34 mi ≈ 5.83 mi
Bill is 5.83 miles on a direct line from his starting point.
_____
The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.
Suppose 41% of the students in a university are baseball players. If a sample of 524 students is selected, what is the probability that the sample proportion of baseball players will be greater than 44%
Answer:
"0.0808" is the appropriate response.
Step-by-step explanation:
Given:
n = 524
\(\hat{P}\) = 41%
or,
= 0.41
\(1-\hat{P}=1-0.41\)
\(=0.59\)
\(\mu \hat{P}=\hat{P}\)
\(=0.41\)
Now,
⇒ \(6 \hat{P}=\sqrt{\frac{\hat {P}(1-\hat{P})}{n} }\)
\(=\sqrt{\frac{0.41\times 0.59}{524} }\)
\(=0.0215\)
\(P(\hat {P}>44 \ percent)\)
or,
\(P(\hat{P}>0.44)\)
\(=1-P(\hat{P}<0.44)\)
\(=1-P(\frac{\hat{P}-\mu \hat{P}}{6 \hat{P}} <\frac{0.44-0.41}{0.0215} )\)
\(=1-P(z<1.40)\)
By using the standard normal table, we get
\(=1-0.9192\)
\(=0.0808\)
Three times the sum of a number and 6 is less than 33
Answer:
3(x+6)<33
Step-by-step explanation:
So you want to write what you hear as you go along
3(the sum of a number and 6)<33 The number can be substituted for x or any variable
3(x+6)<33
The midterm grades for two high school algebra classes are provided in the tables below. For convenience, the data have been ordered.
Class 1: 72 73 74 75 76 79 82 83 84 86 91
92 93 93 94 95 97 97 98 98
Class 2: 59 65 68 69 72 73 78 80 82 82
83 83 85 88 88 89 94 96 97 98
A. Sketch parallel boxplots for the two classes.
B. Which class has the better overall performance? Justify your answer.
C. The teacher for the two classes calculates a 90% confidence interval for the difference in mean midterm grades between Class #1 and Class #2. The confidence interval is (0.09299, 11.413). Assume that confidence interval conditions are met. Based on the confidence interval, do you think there is a difference in the population mean midterm grades for the two classes? Explain.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
In R-Studio, we first insert the data set,
Please notice that perhaps the blue colored lines are input and the green lines are R-Studio results.
\(Class \ 1 = c(72,73,74,75,76,79,82,83,84,86,91,92,93,93,94,95,95,97,98,98)\\\\Class\ 2 = c(59,65,68,68,69,72,73,78,80,82,82,83,83,85,88,88,89,94,96,97,98)\)
We will get the smallest observation, first, mid, third, and largest quartile for both classes and use a summary of 5 numbers,
\(\to five\ num(Class\ 1) \\\\\[1\] \ 72.0 77.5 88.5 94.5 98.0 \\\\\to five\ num(Class\ 2) \\\\\[1\]\ 59 72 82 88 98\)
The table can be defined as follows:
\(Class\ 1\ \ \ \ \ \ \ \ \ \ \ \ Class\ 2 \\\)
\(Smallest \ value\ \ \ \ \ \ \ 72\ \ \ \ \ \ \ 59\\First \ quartile \ Q1\ \ \ \ \ \ \ 77.5\ \ \ \ \ \ \ 72\\Median\ Q2 \ \ \ \ \ \ \ 88.5\ \ \ \ \ \ \ 82\\Third \ quartile \ Q3 \ \ \ \ \ \ \ 94.5\ \ \ \ \ \ \ 88\\Largest \ value \ \ \ \ \ \ \ 98\ \ \ \ \ \ \ 98\\\)
The parallel boxplots in R-Studio as,
\(\text{boxplot(Class1, Class2, xlab = "Class", ylab = "midterm grades", main = "Boxplots")}\)Please find the graph file.
For point b:
Its performance overall of Class 1 is better, while the median of class 1 is greater than class 2, as well as the value (grades) of class 1, is less dispersed in relation to class 2.
For point c:
The stated 90 percent confidence interval for a significant difference is (0.09299, 11.413) Users now calculate the difference among Class 1 and Class 2 plan presented of mean value as:
\(mean \ (Class \ 1) \\\\\[1\]\ 86.5\\\\mean\ (Class\ 2)\\\\\)
\(\[ 1 \] \ 80.80952\\\\Difference = 86.5 - 80.80952 = 5.69048\)
Its discrepancy among two estimations is between confidence interval of 90 percent (0.09299, 11.413). Its mean population of grades of two classes therefore differs significantly.
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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ANSWER ASAP I WILL GIVE BRAINLIST
Answer:
its upside down
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
-2/x²-1
Step-by-step explanation:
p(x)-q(x)
(1/x+1) - (1/x-1)
(x-1)/((x+1)(x-1)) - (x+1)/((x+1)(x-1))
x-1-x-1 / x²-1
-2/x²-1
What is tan K? help pleasee
8/15
Hope this helps!
Answer:
\(\frac{8}{15}\)
Step-by-step explanation:
\(Tan(k)=\frac{24}{45} =\frac{8}{15}\)
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Finding a final amount in a word problem on exponential growt...A city has a population of 220,000 people. Suppose that each year the population grows by 5.25%. What will the population be after 13 years?
We want to determine the final population of the city after 13 years.
Given that;
The population grows by 5.25% each year
Initial population of the city is 220,000
Time is 13 years
Using the formula for exponential growth;
\(F=P(1+r)^t\)Where;
F= final amount
P = initial amount = 220,000
r = rate (in decimal) = 0.0525
t= time = 13
substituting the given values we have;
\(\begin{gathered} F=220,000(1+0.0525)^{13} \\ F=220,000(1.0525)^{13} \\ F=220,000(1.944855586) \\ F=427,868.2289 \\ F\approx427,868 \end{gathered}\)Therefore, the final population of the city after 13 years is 427,868 people
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
Priya filled 5 jars, using a total of 7 1/2 of strawberry jam. How many cups of jam are in each jar.
Answer:
1.5 or 1 1/2
Step-by-step explanation:
7 1/2 divided by 5 would equal to 1.5 or 1 1/2
PLEASE HELP ASAP
2 : 6 : 7 = x : 36 : y
Answer:
2:6:7=12:36:42
Step-by-step explanation:
hope its right :)
Dot Plots and Histograms-Quiz-Level F
Briana is learning to play the guitar. At the end of each week, she records the number of days
she practiced. Her data is shown below.
2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6
OFReady
Which dot plot displays the data distribution?
1
2
2
3
4
Number of Days
3
Number of Days
:
5
6
7
567
0
+
0
1
2
3
4
Number of Days
2
5
...
3
4
Number of Days
5 6
..
The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with
Two dots at 0
One dot at 2
Two dots at 3
Four dots each at 4, 5, and 6
One dot at 7
A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.
The data can be presented as follows;
2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6
The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.
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A website has a 24-hour sale offering 12% off all purchases.
Dina buys a sweatshirt in the sale.
She pays £24.20 for the sweatshirt.
Calculate the original price of the sweatshirt.
Answer:
the given 24.20 is not the discount so we have to subtract it by 100%