Answer:
[tex]x=-2,1[/tex]
Step-by-step explanation:
[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]
PLEASE HELP ME I DONT UNDERSTAND
Question 1: The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average of 3/4 foot per year Some students misunderstood question #1 and wrote the following equations in point-slope form:
a) y − 3 = 3/4(x-0)
b) y - 6 = 3/4(x-4)
c) y - 4.5 = 3/4(x-2)
d) y - 12 = 3/4(x-12)
e) y - 15= 3/4(x-15)
Is point slope form okay to use to find the height of the trees in this problem?
There is one equation that is incorrect.... determine which one? why is it incorrect?
Creat two new equations written in point slope form
The point slope form is not okay to use to find the height of the trees
The incorrect equation is y - 15= 3/4(x-15) The other equations are y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)How to determine if the point slope form is okay?From the question, we have the following parameters that can be used in our computation:
Initial height of purchase = 3 feet tallAverage rate = 3/4 foot per yearThe point slope form of a linear equation is represented as
y - y₁ = m(x - x₁)
Where
Slope = m
The point slope form does not show the initial value
So, this form is not okay for the required parameters
How to determine the incorrect equationThe slope-intercept form is given as
y = mx + c
Using the given parameters, we have
y = 3/4x + 3
Subtract 3 from both sides
y - 3 = 3/4x
Rewrite as
y - 3 = 3/4(x - 0)
This equation can be rewritten in any of the following forms
a) y − 3 = 3/4(x-0)b) y - 6 = 3/4(x-4)c) y - 4.5 = 3/4(x-2)d) y - 12 = 3/4(x-12)Hence, the incorrect equation is y - 15= 3/4(x-15)
Two new equations written in point slope formWe have the slope-intercept form to be
y = 3/4x + 3
Set x = 1 and 2, and then solve for y
So, we have
y = 3/4 * 1 + 3 = 3.75
y = 3/4 * 2 + 3 = 4.5
So, the equivalent equations are
y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)
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Evaluate this expression. 4 – (10 – 3^2)
Answer:
3
Step-by-step explanation:
2 The test statistic in a two-tailed test is z=-2. 75 use a 0. 05 significance level to find the P value and state the conclusion about the null hypothesis
The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.
What Is Two-Tailed Test?A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.
A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.
It is employed in testing the null hypothesis and determining statistical significance.
The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.
Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.
How to calculate the p-value?
Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.
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Aiden ha a gro income of 63,000 and take the tandard deduction. Their total taxe due are 6,628
A) what i their taxable income
B) what i their marginal rate
C) what i their effective rate? Round to the nearet hundredth of a percent
If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
What is your taxable income?The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers.
What is minimum taxable income?The minimum income amount depends on your filing status and age. In 2022, for example, the minimum for single filing status if under age 65 is $12,950. If your income is below that threshold, you generally do not need to file a federal tax return. Review the full list below for other filing statuses and ages.
Taxable income
a. Taxable income:
Taxable income=Gross income - Total taxes due
Taxable income=$63,000-$6,847.50
Taxable income=$56,152.5
b. The marginal tax rate for taxable income under the income bracket of of $40,526 to $86,375 is 22%.
c. Effective tax rate:
Effective tax rate = Total taxes due/ Taxable income×100
Effective tax rate =$6,847.50/$56,152.5×100
Effective tax rate =10.869%
Effective tax rate =10.87% (Approximately)
Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
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Why is there a horizontal asymptote?
The reason behind horizontal asymptote is defined as the end behavior of the function.
The term asymptote in math is known as a straight line that constantly approaches a given curve but does not meet at any infinite distance.
Here we need to list down the reason behind horizontal asymptote.
As we all know that the horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞. Here we also know that the slant asymptote of a graph is a slanted line y = mx + b where the graph approaches the line as the inputs approach ∞ or –∞.
Therefore, through the definition we know that the horizontal line to which the graph of the function appears to coincide with but it doesn't actually coincide.
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least to greatest 16%, 1/10, 0.14, 0.9
Answer:
1/10, 0.14, 16%, 0.9
Step-by-step explanation:
Convert each number to either fraction, decimal, or percent.
1/10 10/100 0.1 10%
14/100 0.14 14%
16/100 0.16 16%
90/100 0.9 90%
Answer:
1/10 < 0.14 < 16% < 0.9
Step-by-step explanation:
16% = 0.16
1/10 = 0.10
0.9 = 0.90
0.10 < 0.14 < 0.16 < 0.90 = 1/10 < 0.14 < 16% < 0.9
HURRY!!
The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 167 centimeters.
Which measurement is closest to the volume of the cylinder in cubic centimeters?
A. 251. 3
B. 4,021. 2
C. 1,005. 3
D. 628. 3
Since the circumference of the base is given, the radius can be calculated as r = (circumference / 2π) and the volume as V = πr2h. The volume of the cylinder is therefore approximately 628.3 cubic centimeters.
1. Calculate the radius of the base of the cylinder. The circumference of the base is 167 centimeters. Rearranging this gives
r = C / 2π. Therefore,
r = (167 / 2π)
= 26.6 cm.
2. Calculate the volume of the cylinder. The formula for volume is V = πr2h. Therefore,
V = π(26.6)2 * 5
= 628.3 cubic centimeters.
or
r = (167 / 2π) = 26.6 cm
V = π(26.6)2 * 5 = 628.3 cubic centimeters
To calculate the volume of the cylinder, the radius of the base must first be calculated. This can be found by using the formula C = 2πr, where C is the circumference and r is the radius The circumference of the base of the cylinder is 167 centimeters, so the radius can be calculated as r = (167 / 2π) = 26.6 cm. The volume of the cylinder can then be calculated using the formula V = πr2h, where h is the height of the cylinder. In this case, the height is 5 centimeters, so the volume is V = π(26.6)2 * 5 = 628.3 cubic centimeters. This is the closest measurement to the volume of the cylinder.
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Could someone solve these for me with the work for extra points please!! I’ll mark the brainiest
a. 800[tex]m^{2}[/tex]
b. 96,568.54 ft^2
The formula for solving for surface area of a pyramid is: B + (1/2*P*l), with B being the area of the base, P being the perimeter of the base, and l being the slant of the pyramid.
Steps for a:
16*16 = 256 (this is the B) 16*4 = 64 (this is the P)(1/2*64*17) = 544 (17 is the slant)256 + 544 = 800Steps for b:
200*200 = 40,000 (this is the B)200*4 = 800 (this is the P)This step is a bit tricky, but to find the slant of the pyramid, use the Pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]: [tex]100^2 + 100^2 = 20,000[/tex]. Then, use the square root of 20,000 to find the slant (141.4213562(1/2*800*141.4213562) = 56,568.5424840,000 + 56,568.54248 = 96,568.54 ft^2Hope this helps!
How do you find the third side?
The third side of a triangle can be found using the Pythagorean Theorem.
This states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side (the hypotenuse).
Let's say you have a triangle with sides a, b, and c, where c is the longest side. To find c, you can use the following formula:
c = √(a2 + b2)
For example, if you have a triangle with sides a = 4 and b = 5, then c = √(42 + 52) = √41 = 6.4. Therefore, the third side of the triangle is 6.4.
To calculate this using steps, you would first square the two shorter sides of the triangle:
a2 = 4 x 4 = 16
b2 = 5 x 5 = 25
Then, add the two squares together:
16 + 25 = 41
Finally, take the square root of the sum to find the length of the third side:
√41 = 6.4
Therefore, the third side of the triangle is 6.4.
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Help needed! ASAP please!
Answer:
x = - 1 or x = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
to find the zeros let f(x) = 0 , that is
3x² + 5x + 2 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 2 = 6 and sum = + 5
the factors are 3 and 2
use these factors to split the x- term
3x² + 3x + 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x + 1) + 2(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x + 2) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]
heyy! i’ll give brainliest please help.
Answer:
The answer is a "Weather occurs because the climate is costantly changing"
Answer:
A (climate is the trend in weather over a long period of time)
Step-by-step explanation:
Please help the question is in the screen shot
Answer:
Step-by-step explanation:
count by doubling from 2.... ten times, use your fingers to keep track
2,4,8,16,32,64,128,256,512,1024
add these up
2046
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 29 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
Perimeter = 78.7 inches
Step-by-step explanation:
From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]
= [tex](29)^{2}[/tex] + [tex](9)^{2}[/tex]
=841 + 81
[tex]/hyp/^{2}[/tex] = 922
hyp = [tex]\sqrt{922}[/tex]
= 30.3645
The perimeter of the triangle can be determined as;
perimeter = [tex]l_{1}[/tex] + [tex]l_{2}[/tex] + [tex]l_{3}[/tex]
= 30.3645 + 18 + 30.3645
= 78.729
The perimeter of the triangle = 78.7 inches
Please help me plssss
Explanation
Check the picture below.
William deposited $7500 into an account that accumulated simple interest at a rate of 2.5% a year. At this rate, how long would it take for the account to reach $10,312.50?
Answer:
15 years
Step-by-step explanation:
$10,312.50-$7500 = $2,812.50 in interest we need over time
7500 x 2.5= $187.50/year (interest)
$2,812.50 / $187.50 = 15 years
Solve for x 3 /11 = x /3 Give your answer as a fraction in its simplest form.
Answer: x 33/5
Step-by-step explanation:
Answer: 9/11
Step-by-step explanation:
Step 1: Cross-multiply.
3/11 = x/3
(3)*(3) = x*(11)
9 = 11x
Step 2: Flip the equation.
11x = 9
Step 3: Divide both sides by 11.
11x/11 = 9/11
x = 9/11
(WILL GIVE BRAINLIEST IF CORRECT) Find the equation of the line that passes through (1,3) and is perpendicular to y = 2 x + 3 . Leave your answer in the form y = m x + c
Answer:
y = -1/2x + 7/2
Step-by-step explanation:
8.
Round off 48.992 to 2 decimal places.
A. 48.99
B. 48.90
C. 48.00
D. 49.00
Answer:
A.48.99
48.992 two is less than five soo you leave it at that point and assume the 2.
Grant reads as part of his homework each week. - he must read for at least 4 hours each week as part of his homework. - This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. PLEASE HELP ME
A statement which best describes the solution set of the given inequality 5n + 1.5 ≥ 4 is: C. all rational number values of n that are at least 0.5.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.
Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;
5n + 1.5 ≥ 4
Subtracting 1.5 from both sides of the algebraic inequality, we have:
5n + 1.5 - 1.5 ≥ 4 - 1.5
5n ≥ 2.5
Dividing both sides of the algebraic inequality y 5, we have:
n ≥ 2.5/5
n ≥ 0.5
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Complete Question:
Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers, n, of hours he could read on each of the 5 weekdays this week. The graph is shown.
Which describes the solution set of the inequality?
A. all whole number values of n that are at least 1
B. all whole number values of n that are greater than 1
C. all rational number values of n that are at least 0.5
D. all rational number values of n that are greater than 0.5
How can I do math fast?
To do Maths fast follow the steps:
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.What is Maths ?Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.
The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.
There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.To learn more about Maths refer to :
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Select the graph that best represents the solution set of the system of linear inequalities
It’s Due today pls help out
Select the correct answer from each drop-down menu.
The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side
of the playground. The length of the playground is /and its width is w. The length of each side of the flower beds is a. Which two equivalent
expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds
do not overlap
2(l+w) + 4a and 2l+2w + 2(2a) are two equivalent expressions which represent the total fencing material required to surround the playground and flower beds.
What are mathematical expressions?Mathematical expressions are a way of representing mathematical ideas, concepts, and operations using symbols and notation. They can take many forms, including numbers, variables, and operators. They can also be combined to create more complex expressions, equations, and formulas.
Explain:
The total fencing material required to surround the playground and flower beds would be the sum of the fencing material for the playground and the fencing material for the flower beds.
So, one possible expression for the total fencing material required to surround the playground and flower beds would be: 2(l+w) + 4a
Another possible expression for the total fencing material required to surround the playground and flower beds would be: 2l+2w + 2(2a)
Please note that these expressions are based on the information provided, and the actual total fencing material required will depend on the specific dimensions of the park and playground, and may differ from these expressions.
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Help me, its geometry pls show everything.
It is assumed the given figure is a parallelogram.
Use properties of a parallelogram:
opposite sides are parallel and congruent,diagonals bisect each other.Find the missing values:
ML = NP = 12 m, opposite sides are congruent,LP = MN = 10 m, opposite sides are congruent,m∠LPM = m∠NMP = 62°, alternate interior angles are congruent, as LP║MN and MP is transversal,LN = LQ*2 = 9*2 = 18 m, as Q is the midpoint of LN,m∠MLN = m∠PNL = 32°, alternate interior angles are congruent, as ML║NP and LN is transversal,QN = QL = 9 m, as Q is the midpoint of LN.the coordinates of the vertices of parallelogram QRST are given. What would be the coordinates of the vertices after a dilation with a scale factor of 1/3 centered at the origin Q (-6,9) R (6,9) S (0,-9) T (-12,-9)
Answer -2,3. 2,3 3,-3 -4 -3
Step-by-step explanation:
Answer:
Q (-2, 3)
R (2, 3)
S (3, -3)
T (-4, -3)
Step-by-step explanation:
Good luck kiddos :)
34,590 rounded to the nearest ten?
Answer:
34,600
Step-by-step explanation:
Answer:
30,000
Step-by-step explanation:
34,590 rounded to the nearest tenth is 30,000
ILL BRAINLIEST YOU PLEASE HELP ME PLEASE HELP ME
Which of the following represents a rotation of △LMN, which has vertices L(4,5), M(0,2), and N(−2,−4), about the origin by 180°?
Answers
a)
L (−4, −5)
M (2, 4)
N (0, −2)
b)
L (−5, −4)
M (−2, 0)
N (4, 2)
c)
L (−4, −5)
M (0, −2)
N (2, 4)
Answer:
C
Step-by-step explanation:
Geometrically: if we set a circle at the point of origin and it's radius is one of the points (I used L), then we simple rotate the point 180 degrees around the circle and discover our new coordinate.
doing this for all three points yields C.
Answer:
L (−4, −5)
M (0, −2)
N (2, 4)
Step-by-step explanation:
The rule for this particular rotation is: (x, y)→(−x, −y).
To visualize why this is the case, the rotation can also be seen as the 180°clockwise rotation of the x- and y- axes about the origin while the figure remains in place. This rotation changes all x distances into x distances of the opposite sign, and all y distances into y distances of the opposite sign.
Apply the rule to each of the vertices of the triangle.
L(4, 5) → L'(−4, −5)
M (0, 2) → M' (0, −2)
N (−2, −4) → N' (2, 4)
Therefore, the coordinates of the vertices of the rotated triangle are
L' (−4, −5)
M' (0, −2)
N' (2, 4)
BUILD PERSEVERANCEA
a. What is the x-coordinate of the centroid of A ABC?
0
x +
ABC has vertices A(-3, 3), B(2, 5), and C(4, -3).
(3)
The x-coordinate of the centroid of the triangle ABC with vertices
A(-3, 3), B(2, 5), and C(4, -3) is 1.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
The centroid of a triangle is the common intersection point of all the medians of the triangle.
When vertices of a triangle is given the co-ordinate of the centroid are
(x₁ + x₂ + x₃)/3 and (y₁ + y₂ + y₃)/3.
Given, ΔABC has vertices A(-3, 3), B(2, 5), and C(4, -3).
Therefore, The x-coordinate of the centroid is,
Gₓ = (- 3 + 2 + 4)/3.
Gₓ = 3/3.
Gₓ = 1.
So, The x-coordinate of the centroid is 1.
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Expand 2/3(t - 2) pleaseee helppppp asap
Answer:
[tex]\frac{2t-4}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex][tex](t-2)\\[/tex]
=> [tex](\frac{2}{3} * t ) + (\frac{2}{3} * -2)[/tex]
=> [tex]\frac{2t}{3} + (-\frac{4}{3})[/tex]
=> [tex]\frac{2t-4}{3}[/tex]
Hope you understood!!
In the six weeks, Shapera mowed 7 lawns, worked 36 hours at the pet store, and delivered newspapers 7 days. Did she make enough to buy the computer? Explain your answer
If Shapera mowed 7 lawns and worked for 36 hours at pet store and delivered newspapers 7 days , then she earned $497 which is not enough to buy the computer .
the amount that she earns in mowing each lawn is = $15 ;
So , the amount earned for mowing 7 lawns is = [tex]15\times 7[/tex] = $105 ;
the amount that she earns per hour working at pet store is = $7 ;
So , amount earned for working 36 hours is = [tex]36\times 7[/tex] = $252 ;
the amount that she earns by delivering newspapers per day is = $20 ;
So , amount earned by delivering newspapers for 7 days =[tex]20\times7[/tex] = $140 ;
The total amount earned by Shapera is = [tex]\$ 105 + \$252+\$140[/tex]
On adding all the amount earned ,
we get ;
= $497 ;
The amount earned by Shapera is $497 .
Therefore , Shapera will not be able to buy the $499 computer as she is $2 less than the price .
The given question is incomplete , the complete question is
Shapera has three sources of income. She earns $15 for each lawn she mows. She earns $7 per hour working part-time at a pet store She earns $20 each day she delivers newspapers.
In the six weeks, Shapera mowed 7 lawns, worked 36 hours at the pet store, and delivered newspapers 7 days. Did she make enough to buy the $499 computer ?
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