Answer: To solve the inequality x^2 + 3x - 4 > 0, we can use the method of factoring.
First, we can factor the quadratic expression:
x^2 + 3x - 4 = (x + 4)(x - 1)
Now we can find the values of x that make the expression greater than zero by looking at the sign of the expression for each factor and applying the sign rules of multiplication:
If both factors are positive, the expression is positive.If both factors are negative, the expression is positive.If one factor is positive and one factor is negative, the expression is negative.
Using this method, we can create a sign chart:
x x + 4 x - 1 x^2 + 3x - 4
-4 0 -5 +6
-1 + - -
1 + + +
0 + - -
2 + + +
From the sign chart, we can see that the expression is greater than zero for x < -4 or x > 1. Therefore, the solutions to the inequality are all real numbers x such that x < -4 or x > 1. We can write this as:
x < -4 or x > 1
Alice wants to estimate the percentage of people who plan on voting yes for the upcoming school levy. She surveys 380 individuals and finds that 260 plan on voting yes. What is the correct interpretation of the confidence interval
Step-by-step explanation:
Sample proportion \(\hat{p} = 260/380 = 0.684\)
90% confidence interval for p is
\(\hat{p} - Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n) < p < \hat{p} + Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n)\)
\(0.684 - 1.645\times \sqrt ( 1 -0.684) / 380) < P < 0.684 + 1.645\times \sqrt ( 1 -0.684) / 380)\)
0.645 < p < 0.723
Interpretation - We estimate with 90% confidence that the true population proportion of people who plan on voting yes on the levy between 0.645 and 0.723.
PLease help <3 and please dont give an answer just for points. I need it to be correct
The solution to the linear equations in three variable are x = 5, y = -11, and z = 3.
What is a linear equation?It is defined as the relation between three variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The three linear equations:
2x - y + 4z = 33 ..(i)
x + 2y - 3z = -26 ...(ii)
-5x - 3y + 5z = 23 ...(iii)
After solving the above linear equation by elimination method:
From the equation (i):
\(x=\dfrac{33+y-4z}{2}\) ....(iv)
Plug the above value in the equation (ii) and (iii)
\(\rm \dfrac{33+y-4z}{2}+2y-3z=-26\\\\\\\\ -5\cdot \dfrac{33+y-4z}{2}-3y+5z=23\)
After solving the above linear equation in two variables:
y = -11
z = 3
Plug the above values in the equation (iv)
We get the value of x:
x = (33-11-3(4))/2
x = (33-11-12)/2
x = 10/2
x = 5
Thus, the solution to the linear equations in three variable are x = 5, y = -11, and z = 3.
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find x and y please explain really well
Answer:
x=10,y=120
Step-by-step explanation:
3x-30=60 CDA
3x=30
x=10
again,
y+60=180 straight line
y = 120
Please help me !! I need help asap
In given fractions 8/9 is 1/36 large than 31/36
Comparing Fractions:Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.
We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).
If the denominators are the same then it is easy to compare the fractions.
Here we have
31/36 and 8/9
To find the largest fraction convert both denominators into the same
Here LCM(36, 9) = 36
Now multiply both numerator and denominators of fractions with a number to change the denominators
=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)
=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)
From the above calculations given fractions are 31/36 and 32/36
Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)
Therefore,
In given fractions 8/9 is 1/36 large than 31/36
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6. Place your work for both Part A and B in the space provided.
Part A: Select the option that best fits the scenario.
Gloria earned $400. She needed $320 for a new Chromebook.
What percent of the amount earned is the amount needed?
Which is the correct expression of this situation? (a or b)
a) 400 is what percent of 320?
b) 320 is what percent of 400?
Part B: Show your work to find the percent.
9514 1404 393
Answer:
A: (b) 320 is what percent of 400
B: 80%
Step-by-step explanation:
Part A:
This is a reading comprehension question. You are told that ...
$320 is the amount needed
$400 is the amount earned
and you are asked to find ...
what percent of the amount earned is the amount needed?
The question can be rephrased as ...
the amount needed is what percent of the amount earned?
Filling in the amounts you are told, the rephrased question becomes ...
$320 is what percent of $400 . . . . . matches choice (b)
__
Part B:
If we let x represent "what percent", then we can write the above question as ...
320 = x · 400
Dividing by 400 gives ...
320/400 = x = 0.80 = 80%
That is, 320 is 80% of 400.
Can someone help Find the surface area
Answer:
1861.39 cm²
Step-by-step explanation:
Given:
d = 15 cm
radius (r) = ½(15) = 7.5 cm
Height = 32 cm
Surface area of a cylinder = 2πrh + 2πr²
Plug in the values
Surface area = 2*π*7.5*32 + 2*π*7.5²
= 1861.39 cm²
if you put 3/7 as a decimal what is the 351st number of the decimal
Answer:
8Step-by-step explanation:
3/7 = 0.(428571), period of 6 digits351 = 58*6 + 3The 351st number is the 3rd number of the 6-digit period, which is 8Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too high and wants to test to see if it is lower. She selects a random sample of 200 adults and finds that 74 of them are registered organ donors. Perform the hypothesis test at the 0.05 level. Compute the P-value and state a conclusion. Question 21 options: There is not enough evidence to conclude that the proportion of registered organ donors is not less than 40%. There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%. P-value
Answer:
Pvalue = 0.193
There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Step-by-step explanation:
H0 : p = 0.4
H1 : p < 0.4
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 74 / 200 = 0.37
Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200
Z = - 0.03 / √0.0012
Z = - 0.03 / 0.0346410
Z = - 0.866
Test statistic = -0.866
The Pvalue :
P(Z < -0.866) = 0.193
α - level = 0.05
If Pvalue < α ; Reject H0
Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
if the area of a triangle is 64 and the height is 10 what is the base
can I get an answer please
Answer:
the second one I'm pretty sure
Step-by-step explanation:
Answer:
its definitely B
Step-by-step explanation:
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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Write an equation for the polynomial graphed below
The equation of the polynomial is P(x) = 1/27(x + 3)(x + 2)(x - 1)(x - 3)^2
How to determine the equation of the polynomialFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following readings:
A root of multiplicity 1 at x = -3 A root of multiplicity 1 at x = -2A root of multiplicity 1 at x = 1A root of multiplicity 2 at x = 3y-intercept = 2A polynomial is represented as
P(x) = a * (x - zero)^multiplicity
Using the above as a guide, we have the following:
P(x) = a * (x + 3)(x + 2)(x - 1)(x - 3)^2
The y-intercept is 2
So, we have
a * (0 + 3)(0 + 2)(0 - 1)(0 - 3)^2 = 2
This gives
a = -1/27
Hence, the expression is P(x) = 1/27(x + 3)(x + 2)(x - 1)(x - 3)^2
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How many years will it take for your salary to be $105,000 per year?
Answer:
simple answer in edmentum
Step-by-step explanation:
14 points! PLEASE HELP!!!
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.
math proportion calculation
In respοnse tο the given questiοn, we can state that This signifies that 3 equatiοn οut οf every 10 apples sοld were red, οr that the red apple percentage was 3/10.
What is equatiοn?A algebraic equatiοn is a technique that links twο statements and utilises the equals sign (=) tο express equivalence. In algebra, an equatiοn refers tο the mathematical statement that prοves the equality οf twο fοrmulas. Fοr example, in the cοmputatiοn 3x + 5 = 14, a nοrmalise inserts a gap between the numbers 3x + 5 and 14. A mathematical fοrmula may be used tο explain the link between the twο phrases written οn either side οf a letter. The emblem and the prοgramme are usually the same. Fοr example, 2x - 4 equals 2.
Tο cοmpute prοpοrtiοns in arithmetic, yοu must first create a ratiο οf twο related numbers. Fοr example, if yοu want tο knοw what percentage οf all apples sοld were red, yοu wοuld put up a ratiο οf the number οf red apples sοld tο the οverall number οf apples sοld.
Assume that 200 apples were sοld in tοtal, with 60 οf them being red. Tο get the prοpοrtiοn οf red apples, use the fοllοwing fοrmula:
60 / 200 = red apples / tοtal apples
3/10 = red apples / tοtal apples
This signifies that 3 οut οf every 10 apples sοld were red, οr that the red apple percentage was 3/10.
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Complete question:
Assume that 200 apples were sοld in tοtal, with 60 οf them being red.
What is proportion of red apples?
Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7
which value must be added to the expression x^2 + x to make it a perfect-square trinomial
A perfect square trinomial is written in the form
\(undefined\)Curtis was curious about the average height of the different types of plants in his flower and vegetable gardens, so he measured each of his plants. This data set shows the heights of the flowers in his garden, in inches: . This data set shows the heights of the vegetable plants in his garden, in inches: .
(a) What is the mean absolute deviation (MAD) of the flower height data? Show your work.
(b) What is the mean absolute deviation (MAD) of the vegetable height data? Show your work.
(c) Use the data to compare the two gardens. What does the MAD indicate about the variability between flower and vegetable plant heights?
Please help me I'm giving out 14 points, please help
Anwser:
To determine the mean absolute deviation, first calculate the mean. Find the sum of the values: 8 plus 6 plus 9 plus 6 plus 14 plus 9 plus 5 plus 7 equals 64. Then divide the sum by the number of values: 64 divided by 8 equals 8. The mean is 8.
Next, find the distance of each value from the mean :
|8-8|=0 |6-8|=2 |9-8|=1 |6-8|=2 |14-8|=6 |9-8|=1 |5-8|=3 |7-8|=1
0 plus 2 plus 1 plus 2 plus 6 plus 1 plus 3 plus 1 equals 16. Then divide the sum of absolute deviations by the number of data values: 16 divided by 8 equals 2. The MAD of the data is 2.
Since the MAD for the vegetable plant data is so much higher than the MAD for the flower data, this indicates that the heights of the vegetable plants vary more than the heights of the flowers
(6m-7)x4. Please help meeee
Answer:
=6mx^4−7x^4
Step-by-step explanation:
(6m−7)(x^4)
=(6m+−7)(x^4)
=(6m)(x^4)+(−7)(x^4)
\(\huge\text{Hey there!}\)
\(\mathsf{(6m - 7)\times4}\)
\(\mathsf{= (6m - 7)(4)}\)
\(\mathsf{= (6m - 7) 4}\)
\(\mathsf{= 4(6m - 7)}\)
\(\mathsf{= 4(6m) - 4(-7)}\)
\(\mathsf{= 6m(4) + (-7)(4)}\)
\(\mathsf{= 6m(4) - 7(4)}\)
\(\mathsf{= 6m - 28}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Find the solutions of the equation in the interval [-2,2] cot(x)= square root 3
X=?
The solution of the function on the interval is x = 0.524 radians.
What is the solutions of the equation in the interval [-2,2]?The solution of the function on the interval is calculated as follows;
cot(x)= √3
1/tan(x) = √3
Simplify the expression as follows;
1 = √3tan(x)
tan(x) = 1/√3
The solutions of this equation in the interval [-2,2], is calculated as;
x = tan⁻¹(1/√3)
x = 0.524 radians
Another solution of x;
x = tan⁻¹(1/√3) + π = 3.67 radians
This value is not in the given interval, so there is only one solution to the equation cot(x) = √3 in the interval [-2,2], which is approximately x = 0.524 radians.
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where should the graph of the line y=2x - 2 intersect the y axis
The graph of the line y = 2x - 2 intersects the y-axis at the point (0, -2).
Calculating where the graph intersects the y-axisGiven that we have the following equation
y = 2x - 2
The equation of a straight line in the standard form is y = mx + c, where m is the slope of the line, and c is the y-intercept. The y-intercept is the point at which the line intersects the y-axis.
The equation of the line is y = 2x - 2. To find where the line intersects the y-axis, we need to set x = 0 and solve for y.
So, when x = 0, we get:
y = 2(0) - 2
y = -2
Therefore, the line intersects the y-axis at the point (0, -2).
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find the value of the trigonometric ratio
Answer:
ur box cannot be opend repain the window
Step-by-step explanation:
please mark this answer as brainlist
please help i will name brainiest
Answer:
Step-29 (86by-step explanation:
11 coommon factor of
what is equivalent to this complex numberi^15
-i
Explanations:The given complex number is:
\(i^{15}\)Note that:
\(i^2\text{ = -1}\)Also note that:
\(\begin{gathered} i^{15}=i^{14}\times i^{\square} \\ i^{15}=(i^2)^7\times i \\ i^{15}=(-1)^7\times i \\ i^{15}=\text{ -1 }\times i \\ i^{15}=\text{ -i} \end{gathered}\)\(\text{The equivalence of i}^{15}=\text{ -i}\)4.Rebecca biked 4.5 miles today and 3.2 miles
yesterday. If her goal for the week is 10 miles,
how much farther does she need to bike
Answer:
10-(4.5+3.2)
= 10-7.7
=2.3 miles
Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is
x and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.