All my points!!!!!!!
The square of a certain negative number is equal to five more than one-half of that number. What is the number?
-2
-5/2
-1/2
Answers
Let's represent the unknown negative number as "x."
According to the given information, the square of the number is equal to five more than one-half of the number. Mathematically, we can write this as:
x^2 = (1/2)x + 5
To find the value of x, we need to solve this quadratic equation. Rearranging the equation, we have:
x^2 - (1/2)x - 5 = 0
To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = -1/2, and c = -5. Substituting these values into the quadratic formula:
x = (-(1/2) ± √((-1/2)^2 - 4(1)(-5))) / (2(1))
Simplifying further:
x = (-1/2 ± √(1/4 + 20)) / 2
x = (-1/2 ± √(81/4)) / 2
x = (-1/2 ± 9/2) / 2
x = (-1 ± 9) / 4
Therefore, we have two possible solutions for x:
x = (-1 + 9) / 4 = 8/4 = 2
x = (-1 - 9) / 4 = -10/4 = -5/2
Since we are looking for a negative number, the solution is x = -5/2.
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Related Questions
What ordered pair is a solution to the system of linear equations?
Answers
Solutions of a system of an equations are given with the values of the variables which make all the equations true in which a solution of a system of given two linear equations is represented in an ordered pair (x, y) as explained with example below:
An example of a system of two linear equations in an ordered pair , in order to show the two equations that are arranged together to form a system of equations in an linear form .
let , 2x + y = 7,
x- 2y = 6
A linear equation which consists of two variables, as 2x + y = 7, has an infinite number of solutions. in which the graph of a equation is a line. we know that every point on the line is a required solution to the equation and every solution of an equation is a point on the line.
To solve a system of two linear equations in an ordered pair , we want to find the values to particular variables that are solutions to both linear equations. In other words, we are expecting for the ordered pairs (x, y) that make both equations valid . These type of equations are known as solutions to a system of equations.
hence , the solutions of a system of equations are the values of the variables that make all the valid and obeyed equations are true. and solution of a system of two linear equations is represented always in an ordered pair (x, y) .
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FIRST TO ANSWER CORRECTLY GETS BRAINLEIST! (please give explanation!)
Bobby is inventing the latest, greatest, thing. He is building a spherical hot tub near his outdoor pool. His yard is small and he knows that the diameter of his hot tub can not exceed 7 feet. If the depth of his hot tub is 3 feet, what is the volume of the hot tub?
a. 179. 5 ft (3)
b. 628. 33ft (3)
c. 471. 25 ft (3)
d. 300. 13 ft (3)
Answers
The correct option is a) 179.5 ft³.
Given that the diameter of the spherical hot tub built by Bobby can not exceed 7 feet and the depth of his hot tub is 3 feet.
We need to find the volume of the hot tub.
Now, Radius of the spherical hot tub is = Diameter / 2 = 7 / 2 = 3.5 feet
So, Volume of the hot tub = 4/3 π r³
Volume of the hot tub = 4/3 π (3.5)³
Volume of the hot tub = 4/3 π (42.875)
Volume of the hot tub = 4.1887 * 42.875
Volume of the hot tub = 179.6621 cubic feet
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Factor using the greatest common factor
25n ² - 5n
32n ² + 28n - 20
Answers
Answer:
this is my answer
5n (5n - 1)
4n (8 + 7) - 20
Please tell me what this is (correct answer)
Answers
Answer:
3.17
Step-by-step explanation:
0.45x + 0.72 + 5x = 18
5.45x = 17.28
x = 3.17
. Elise is going to solve the equation shown below. Which of the following statements are correct?
Answers
Answer:
The answer is B
Step-by-step explanation:
Hope this helps!
she should multiply both sides by 8
HELP! WILL GIVE BRAINLIEST AND 100 POINTS!
A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether low-intensity vibration therapy also reduces pain in patients suffering from ruptured disks in the lumbar region of the back. Three hundred male patients are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 male patients, would you change the study design? If so, how would you modify your design ? If not, why not? (4 points)
Part C: Could your design be double-blind? Explain. (2 points)
Answers
Answer:
Part A: The appropriate design for the study includes;
Treatment used; Chamomile oil treatment
Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves
Treatment assignment; Treatment should be assigned to patients with pinched nerves
Variables that should be measured; Reduction or relief of pain as reported by the patients
Part B; The study should be administered equally to both male and female as the symptoms can be experienced by both male and female
Part C; The design could be double blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.
Step-by-step explanation:
PLZ HURRY!!!!!!!!!!!!!! George’s age is three times that of his brother. When you add George’s age to his brothers, you get 24. How old is each brother? a) Write an equation that represents the situation. Explain any variable used. b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answers
Answer:
George's age is 18, and his brother's age is 6
Step-by-step explanation:
So first, since you know that George is three times older than their brother, that means that x*4=24. 24/4=6. 6*3 is 18. 18+6=24.
4m−2+(−8m)4, m, minus, 2, plus, left parenthesis, minus, 8, m, right parenthesis
Answers
The expression is simplified to - 2( 2m + 1)
What is an algebraic expression?
Algebraic expressions are defined as expressions that consists of arithmetic operations, such as;
AdditionMultiplicationDivisionBracketParenthesesSubtraction, etcThese expressions are also known to be composed of terms, coefficients, variables, factors and constants.
From the information, we have the expression;
4m−2+(−8m)
Let's take the following steps to simply the expression
expand the bracket
4m - 2 - 8m
Now, collect like terms
4m - 8m - 2
subtract like terms
- 4m - 2
factor the common terms
- 2( 2m + 1)
Hence, the expression is - 2( 2m + 1)
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Answer:
a and b
Step-by-step explanation:
t was done this before
We have to fill the chart but i already did that i just need help with the questions
(B) find the mean of the data set
(C) Find the median
(D) find the mode of trje data set
(E) find the range of the data set
Answers
What is assumed by the homogeneity of variance assumption?
a. The two samples have equal variances
b. The two sample variances are not equal.
c. The two populations have equal variances
d. The two population variances are not equal
Answers
Homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The homogeneity of variance assumption assumes that the two populations have equal variances. Therefore, the correct answer is option c, "The two populations have equal variances."
This assumption is often made in statistical tests that compare the means of two groups, such as the t-test.
When the variances of the two populations are equal, it allows for more precise estimates of the standard error and can improve the accuracy of the test results.
However, if the variances are not equal, it can lead to biased and unreliable results.
In such cases, alternative methods, such as Welch's t-test or the Brown-Forsythe test, can be used to adjust for unequal variances.
Hence, homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.
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a 36 year old woman on chronic cyclosporine treatment for bilateral lung transplantation visits the emergency department complaining of extreme headache, nausea and vomiting. her exam is notable for bp 239/165, normal cardiac exam, bibasilar pulmonary rales, and 1 lower extremity edema. ekg showed asymmetric inverted t-waves in i, avl, and v4-6. in an effort to acutely control her blood pressure, which of the following is true?
Answers
The best treatment for this patient's acute blood pressure control is to administer an intravenous (IV) antihypertensive medication such as labetalol or nitroprusside. Additionally, it is important to assess for underlying causes of her elevated blood pressure such as infection, kidney disease, or heart failure.
What is blood pressure?
Blood pressure (BP) is indeed the force exerted by moving blood against blood vessel walls. The heart's action of trying to pump blood through the blood vessels is largely responsible for this pressure. The pressure in the major arteries is meant when the term "blood pressure" is used without qualification. Systolic pressure, or the highest pressure during one heartbeat, is typically expressed as the ratio of diastolic pressure, or the lowest pressure between two heartbeats, in blood pressure measurements. It is expressed as a millimetre of mercury (mmHg) just above atmospheric pressure in the immediate vicinity. Along with respiratory rate, pulse rate, oxygen levels, and body temperature, blood pressure is among the vital signs that medical professionals consider when assessing a patient's health.
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1. "do the laws of exponents hold for positive and negatives"? for fractional exponents? for irrational exponents, e.g. pi?
Answers
Yes, the laws of exponents hold for positive and negative numbers, fractional exponents, and even irrational exponents such as π.
Do the laws of exponents hold for positive and negative numbers?The laws of exponents apply to both positive and negative numbers. For example, when multiplying or dividing numbers with exponents, the exponents can be added or subtracted, respectively, regardless of the sign of the base. Similarly, when raising a number with an exponent to another exponent, the exponents can be multiplied. These rules hold true for positive and negative numbers, allowing consistent manipulation of expressions involving exponents.
Yes, the laws of exponents also hold for fractional exponents. The most common law, the power rule, states that when raising a number to a fractional exponent, the exponent can be expressed as a quotient of integers. This allows us to extend the laws of exponents to include fractional exponents and perform calculations accordingly. For example, we can multiply numbers with fractional exponents by adding the exponents and divide them by subtracting the exponents.
Yes, the laws of exponents also hold for irrational exponents, including numbers like π. Although irrational exponents cannot be expressed as exact fractions or decimals, we can still apply the laws of exponents. When working with irrational exponents, the calculations typically involve approximations or infinite series representations. However, the fundamental rules of exponentiation, such as adding, subtracting, or multiplying exponents, remain valid for irrational exponents as well.
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twelve more than two times a number is 32
Answers
Answer: 76
Step-by-step explanation:
32x2=64
64+12
: The plane y=1 intersects the surface z= arctan in a curve C. Find the slope of the tangent line to C at the point where I=2. Select one: و نام ها Och 0.-1 O 2.-3
Answers
The slope of the tangent line is -3/5. So, the correct option is (e).
To find the curve C, we substitute y = 1 into the equation for the surface:
z = arctan((x + y)/(1 - xy))
z = arctan((x + 1)/(1 - x))
So the curve C is given by the equation:
C: (x, 1, arctan((x + 1)/(1 - x)))
To find the slope of the tangent line to C at the point where x = 2, we need to take the derivative of z with respect to x and evaluate it at x = 2:
z = arctan((x + 1)/(1 - x))
dz/dx = 1/(1 + ((x + 1)/(1 - x))^2) * (1 - (x + 1)/(1 - x)^2)
= (1 - x^2)/(1 + 2x)
At x = 2, the slope of the tangent line is:
dz/dx | x=2 = (1 - 2^2)/(1 + 2(2)) = -3/5
Therefore, the correct answer is (e) -3/5 .
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____The given question is incomplete, the complete question is given below:
The plane y=1 intersects the surface z= arctan((x + y)/(1=xy)) in a curve C. Find the slope of the tangent line to C at the point where x=2. Select one: a 1/3, b 1/5, c 1/2, d -1, e -3/5.
HELP ASAP
a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.
Answers
129 million I took the application already
Pre calculus, trigonometry Given point M the ordered pair 6 times the square root of 3 comma negative 6 comma which is located on the rectangular coordinate plane, what are the representations of the point in polar form, where −2π ≤ θ ≤ 2 π?
a point 12 comma pi over 6 comma a point 12 comma negative five pi over 6 comma a point negative 12 comma 11pi over 6 comma a point 12 comma 7pi over 6
a point 12 comma pi over 3 comma a point 12 comma negative five pi over 3 comma a point negative 12 comma 2pi over 3 comma a point negative 12 comma negative 4 pi over 3
a point negative 12 comma 5 pi over 6 comma a point 12 comma 11 pi over 6 comma a point 12 comma negative pi over 6 comma a point negative 12 comma negative 7 pi over 6
a point 12 comma negative pi over 3 comma a point 12 comma five pi over 3 comma a point negative 12 comma 2pi over 3 comma a point 12 comma negative 4 pi over 3
Answers
The possible form of the point (6√3, - 6) in polar form are (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).
How to derive the polar form of a point in rectangular form
In this problem we find a point in rectangular form, that is, a point of the form (x, y). We are asked to find the polar form of the point, that is, a point described by the following expression:
(r, θ)
Where:
r - Magnitudeθ - Direction, in radiansThe magnitude is found by Pythagorean theorem:
r =√(x² + y²)
And the direction of the point is described by the following inverse trigonometric function:
θ = tan⁻¹ (y / x)
If we know that (x, y) = (6√3, - 6), then the point in polar form is:
r = √[(6√3)² + (- 6)²]
r = 12
θ = tan⁻¹ (- 6 / 6√3)
θ = tan⁻¹ (- √3 / 3)
θ = 11π / 6 rad / θ = - π / 6 rad
There are two possible solutions: (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).
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Answer:
a point 12 comma 4 pi over 3 comma a point 12 comma negative 2 pi over 3 comma a point negative 12 comma negative pi over 3 comma a point negative 12 comma negative 5 pi over 3
Step-by-step explanation: option B
On a coordinate plane, a line is drawn from point R to point Q. Point R is at (4, negative 1), and point Q is at (negative 5, 3). What are the coordinates of point P on the directed line segment from R to Q such that P is the length of the line segment from R to Q
Answers
The coordinate points of the point P is (-3.5, 2.3).
What is a coordinate plane?
Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line.
The ratio in which the point 'P' divides the line segment RQ is -
a:b = 5:1
The coordinates of the end-points of line segment RQ are -
R(4, -1) and Q(-5, 3).
The coordinates of the point H are obtained when a point H divides a line segment with end points (p, q) and (s, t) in the ratio a:b -
H = [(as + bp)/(a + b)], [(at + bq)/(a + b)]
H = [(5*-5 + 1*4)/(5 + 1)], [(5*3 + 1*-1)/(5 + 1)]
H = (-21/6, 14/6)
H = (-3.5, 2.3)
Therefore, the coordinate points are obtained as H = (-3.5, 2.3).
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A rectangle has a height of 5 and a width of 4x^2-2x-6
Answers
Find the length of the third side. If necessary, round to the nearest tenth. 8 17
Answers
Answer:
definitely 20
Step-by-step explanation:
only if it has to be a tenth tho if not then 25?=)
Answer:
15
Step-by-step explanation:
can you please help me with this 2 part problem ? there is another image to go with this I'll send to you
Answers
Question 13.
The estimated monthly cost of an energy-efficient refrigerator is $57, meaning the yearly cost is
\(57\cdot12=\$684\)Question 14.
The least energy-efficient refrigerator costs $72 per month, meaning the annual cost is
\(\$72\cdot12=\$864\)Therefore, the amount you will save on an energy-efficient refrigerator be
\(\$864-\$684=\$180\)Hence, the amount saved on an energy-efficient refrigerator will be $180.
how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees
Answers
Sjhhzjz
What’s the mean,median,mode, and range of 5,28,16,32,5,16,48,29,5,35
Answers
Answer:
Step-by-step explanation:
5, 5, 5, 16, 16, 28, 29, 32, 35, 48
Mode: 5, 16
Median: 44/2 = 22
range: 48 - 5 = 43
mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9
for the probability density function, over the given interval, find e(x), e(), the mean, the variance, and the standard deviation. f(x) , over [a,b] 1/b-q
Answers
I'm sorry, there seems to be some missing information in the question. Please provide the values of "a" and "b", and clarify what "q" represents in the density function.
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PLEASE HELP GIVING 40 POINTS!!!!! −2.5x−9<16
Answers
Answer:
- 10 i hope you do well and have a great day and were is the other 35 points i only got 5? and can you please give me brainiest?
Step-by-step explanation:
Answer:
x<10
Step-by-step explanation:
Move to 9 over to make it -2.5x<25.
Switch the numbers to make x positive.
Divide 25 by 2.5. 25 dived by 2.5 is 10.
x<10.
Solve for x. round to nearest tenth or degree, if necessary 19 32
Answers
H= sin^-1 (19/32)
H=36.4 degrees
What is the surface area of the cylinder in square inches? Use the formula SA = 2B + Ph and 3.14 to approximate
π
. Round your answer to the nearest hundredth.
Answers
We are not given the height of the cylinder, but we are given its radius, which is 4 inches. We can use the radius to find the perimeter and area of the base.
The perimeter of the base is the circumference of the circle with radius 4 inches, which is:
P = 2πr = 2(3.14)(4) = 25.12 inches
The area of the base is the area of the circle with radius 4 inches, which is:
B = πr^2 = 3.14(4^2) = 50.24 square inches
Since we don't know the height of the cylinder, we can leave h as a variable in the formula. Therefore, the surface area of the cylinder is:
SA = 2B + Ph = 2(50.24) + 25.12h = 100.48 + 25.12h
To round the answer to the nearest hundredth, we need to know the value of h. If we don't have that information, we cannot calculate the surface area of the cylinder.
what is the value of the expression 8-(2 cubed +48) divided by 8
PLEASE NO LINKS
ASAP
Answers
Answer:1.5
Step-by-step explanation:
8-(2^2+48)/8
8-32-6
8-38
-30
---
hope it helps
sorry if i'm wrong, I having a hard time processing things today
The length of a manufactured plastic straw is 15.2 centimeters with an acceptable allowance of 0.4 centimeters. Straw that are too big or too small are discarded.
What absolute value inequality can be written to determine the range of acceptable straw lengths, and what is this range of lengths?
Enter your answers in decimal form by filling in the boxes.
Absolute value inequality: $$x−≤
A straw can be no shorter than cm and no longer than cm.
Answers
Answer:
the answer is |x-15.3|_<_0.4
14.8 and 15.6 in that order
Step-by-step explanation:
With an allowance of 0.4 the length of the straw will be x > 14.8 and x < 15.6.
What is absolute Inequality ?The absolute value of equality is expressed as |a| is a = ±a.
The absolute value of inequality can be expressed as |a| < 2 is a<2 and a > -2 in the later case we have multiplied a with negative sign and this switches the inequality after simplification.
According to the given question
The length of a manufactured plastic straw is 15.2cm with an acceptable allowance of 0.4cm.
Here allowance of 0.4cm means ±0.4cm allowance on the specific size that plastic straw manufacturer have fixed.
∴ The equation of this will of two forms
(i) x - 15.2 > -0.4.
(ii) x - 15.2 < 0.4.
Now solving these two equations
x - 15.2 > - 0.4
x > 15.2 - 0.4
x > 14.8.
AND
x - 15.2 < 0.4
x < 15.2 + 0.4
x < 15.6.
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a) He ate 4/10 of the pie.Write the decimal for the amount of pie he ate
Answers
Answer:
0.4
Step-by-step explanation:
4 / 10 = 0.4
0.4 is the decimal for the amount of pie he ate.
Determine the intercepts of the line.
Do not round your answers.
y=6x+13y=6x+13
Answers
Answer: X= -2.1667 Y= 13