Answer:-1/2
Step-by-step explanation:
-3/7 x 1-1/14
Multiply first
-3/7-1/14
-7/14=-1/2
Answer:
-1/2
Step-by-step explanation:
THE QUESTION IS SOLVE FOR X
Answer:
34
Step-by-step explanation:
i honestly don't care i came on here to cheat but it's saying answer so here you go :)
is this correct? if not what is the correct answer?
6 soaps comparing to the other 5 = 30 different comparisons:
30 x 2,000 = 60,000
Answer: H. $60,000
solve using the pathagorean theorem
suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per hour. what is the rate of change of the surface area s when the radius is 4?
When the radius of the snowball is 4 and shrinks at a rate of 2 inches per hour then the rate of change of the surface area s is equal to 64π in²/hr
As the radius r is shrinking at the rate of two inches per hour, it can be represented as;
dr/dt = -2 in / hr
Here, the negative sign represents the shrinking of the snowball with time t.
The surface area of a sphere can be represented by the formula;
S = 4πr²
Now we differentiate S with respect to t by keeping radius (r) as a variable as follows;
dS/dt = d/dt (4πr²)
dS/dt = 4π (d/dt) (r²)
dS/dt = 4π × 2r (dr/dt)
Putting the value of r = 4 and calculated value of dr/dt = -2 in the equation as follows;
dS/dt = 4π × 2(4)(-2)
dS/dt = -64π
Therefore, the rate of change of surface area s is calculated to be 64π in²/hr.
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I don't know help! image of the question is below
The value of x from the given triangle is 7√2 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given triangle, one of the angle in right angle triangle is 45°, opposite side is 7 units and hypotenuse is x units.
We know that, sinθ =Opposite/Hypotenuse
sin45°=7/x
1/√2=7/x
x=7√2 units
Therefore, the value of x is 7√2 units.
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You will need a calculator for this question.
Let and let Tn (x) denote the n-th Taylor polynomial approximation to f around the point x = 0. Find the minimum value of n such that the approximation Tn(1) is within 0.1 of f(1).
The answer is an integer. Write it without a decimal point.
The minimum value of n can be found by incrementally increasing the degree of the Taylor polynomial approximation until the approximation Tn(1) is within 0.1 of f(1). Starting with n = 0, we calculate Tn(1) using the Taylor polynomial formula and compare it with f(1). If the absolute difference |Tn(1) - f(1)| is less than 0.1, we have found the minimum value of n.
To find the minimum value of n such that the approximation Tn(1) is within 0.1 of f(1), we need to calculate the Taylor polynomial approximation Tn(x) and evaluate it at x = 1 until the approximation is within 0.1 of f(1).
The Taylor polynomial approximation Tn(x) for a function f(x) around the point x = 0 is given by the formula:
Tn(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ... + (f^n(0)/n!)x^n
In this case, we are interested in evaluating Tn(1), so we need to find the value of n that satisfies |Tn(1) - f(1)| < 0.1.
1. Start with n = 0 and calculate Tn(1) using the formula above.
2. Evaluate f(1) using the given function.
3. Calculate the absolute difference |Tn(1) - f(1)|.
4. If the absolute difference is less than 0.1, stop and note the value of n.
5. If the absolute difference is greater than or equal to 0.1, increment n by 1 and repeat steps 1-4.
6. Continue this process until the absolute difference is less than 0.1.
7. The minimum value of n that satisfies the condition is the final value obtained in step 4. Write this value as an integer without a decimal point.
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For X and Y topological spaces, define what it means for a function f:X→Y to be continuous. (b) Define what it means for a topological space to be connected. (c) Prove that the unit interval [0,1] is connected. (d) Show that if X is connected and f:X→Y is continuous and onto, then Y is connected.
a) A function f:X→Y is continuous if the preimage of any open set in Y is an open set in X. b) A topological space X is connected if it cannot be divided into two separate parts. c) The unit interval [0,1] is connected.d) If X is connected and f:X→Y is continuous and onto, then Y is connected.
(a) To define continuity between topological spaces X and Y, we say that a function f:X→Y is continuous if the inverse image under f of any open set in Y is an open set in X. In other words, for every open set V in Y, f *(-1)(V) is open in X.
(b) A topological space X is said to be connected if there are no disjoint non-empty open sets U and V in X such that X = U ∪ V. In simpler terms, a space is connected if it cannot be divided into two non-empty open sets that have no points in common.
(c) To prove that the unit interval [0,1] is connected, we can assume that it is not connected and derive a contradiction. Suppose [0,1] can be expressed as the union of two disjoint open sets U and V. Without loss of generality, assume that 0 ∈ U. Since U is open, there exists an ε > 0 such that the interval (0, ε) ⊆ U. However, this implies that the point ε/2 lies in both U and V, contradicting the assumption that U and V are disjoint. Thus, [0,1] must be connected.
(d) Given a conncted space X and a continuous function f:X→Y that is onto, we aim to show that Y is also connected. Suppose Y can be expressed as the union of two disjoint nonempty open sets A and B. Since f is onto, there exist subsets C and D in X such that f(C) = A and f(D) = B. Note that C and D are non-empty since A and B are non-empty.
Additionally, C and D are disjoint, as f is a function. Thus, we can express X as the union of two disjoint non-empty open sets f *(-1)(A) and f *(-1)(B), contradicting the assumption that X is connected. Hence, Y must also be connected.
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If the edge of a cube measures 8 cm. Find it volume, its surface area
Answer:
Volume: 512cm
Surface Area: 384 cm
Step-by-step explanation:
Volume formula: V= length x width x height
Surface Area formula: A= 6a^2 ; a = edge
Simplify -6a^3b^-1/36ab^2
The simplified form of the polynomial is \(-(a^2 / (6b^3)).\)
What is polynomials?Polynomials are algebraic expressions that consist of variables and coefficients. The variables are often referred to as "indeterminates." The word polynomial comes from the terms "poly" and "nomial," which mean "many" and "terms," respectively. When you combine exponents, constants, and variables using mathematical operations such as addition, subtraction, multiplication, and division (excluding division by a variable), you get a polynomial. Depending on the number of terms it has, a polynomial can be categorized as a monomial, binomial, or trinomial.
To simplify this expression, we can use the following rules of exponents:
\(a^m/a^n = a^{(m-n) }\)(when the bases are the same)
\(a^{-m} = 1/a^m\\(1/b^m) = b^{-m}\)
Using these rules, we can simplify the expression as follows:
\(-6a^3b^{-1}/36ab^2 = - (6/36) \times a^{(3-1)} \times b^{(-1-2)}\\\\= - (1/6) \times a^2 \times b^{(-3)}\\\\= - (a^2 / (6b^3))\)
Therefore, the simplified form of the expression is \(-(a^2 / (6b^3)).\)
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what is the square root of pie?
Answer:
1.77
Step-by-step explanation:
The square root of Pi with two digit decimal accuracy is 1.77. Accordingly, what is a square root of pi? The square root of pi is 1.777245.
Answer:
the square root of pie is 1.77245385091
or just 1.77
what is the number one advantage of an experiment over an observational study?
The number one advantage of an experiment over an observational study is that an experiment allows for the manipulation of variables and the establishment of cause-and-effect relationships between variables.
In an experiment, researchers can control and manipulate the independent variable (the variable being tested) and observe the effects on the dependent variable (the variable being measured).
This level of control allows researchers to establish causal relationships between variables, which cannot be done in observational studies, where the researcher merely observes and measures the variables without intervening or manipulating them.
In other words, experiments allow researchers to determine whether a change in the independent variable causes a change in the dependent variable, which is crucial for making informed decisions in fields such as medicine, psychology, and social sciences.
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An online shopping club has 4,600 members when it charges $9 per month for membership. For each $1 monthly increase in membership fee, the club loses approximately 200 of its existing members. Write and simplify a function R to represent the monthly revenue received by the club when x represents the price increase.
Hint – Monthly Revenue = # of members • monthly fee
ℙ !!
Answer: R = (4600 - 200x) ( 9 + 1x)
Step-by-step explanation:
We have that
Revenue = Members * (Cost Per Member)
Where x represents the number of $1 increases
Simplify the ratio.
14 ft to 21 ft
14 ft to 21 ft = 2 ft to 3 ft
PLEASE HELP IT'S DUE IN 3 MIN I WILL GIVE BRAINLIST IF CORRECT
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mean is the best measure of center because there are no outliers present.
The mean is the best measure of center because there are outliers present.
The median is the best measure of center because there are no outliers present.
The median is the best measure of center because there are outliers present.
Answer:
The mean is the best measure of center because there are no outliers present.
Jeremy uses 2 feet 3 inches of board for each birdhouse he builds. How many inches of board does he need to make 6 birdhouses?
Answer:
134inches
Step-by-step explanation:
Convert 2feet to inches
1foot= 12 inches
2feet= 12x2inches
=24inches
24inches is to 1 birdhouse
24inches x 6 equals six birdhouses
134inches
Answer:
He will need 162 inches
Step-by-step explanation:
6×2ft is 12 feet. Convert ft into inches for every 1 foot you have 12 inches. A total of 144in. Now multiply 6×3in which equals 18in. Add 144+18=162
health programs routinely study the number of days that patients stay in hospitals. in one study, a random sample of 12 men had a mean of 7.95 days and a standard deviation of 6.2 days, and a random sample of 19 women had a mean of 7.1 days and a standard deviation of 5.0 days. the sample data will be used to construct a 95 percent confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital. have the conditions been met for inference with a confidence interval?
The conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days.
What is confidence interval ?
A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence.
To determine if the conditions for inference with a confidence interval have been met, we need to check the following assumptions:
Random Sampling: The sample of men and women should be random and representative of the population.Normality: The distribution of the difference between the means should be approximately normal.Independence: The two samples should be independent of each other.Since the sample sizes are greater than 30 for both men and women, we can assume normality based on the Central Limit Theorem.
Also, since the samples are selected independently and randomly, the assumption of independence is met.
Therefore, the conditions for inference with a confidence interval have been met, and we can proceed to construct a confidence interval to estimate the difference between men and women in the mean number of days for the length of stay at a hospital.
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each table in the library can seat up to 7 people. There are enough tables for 175 in all. How many tables are in the library
Answer: 25 tables
This is a simple division problem
First let's take the given value of 175 people
Then we will take the value of 7 people per table in the library
Now we must divide 175 by 7 to get our answer
\(\frac{175}{7} =25\)
B jada writes this equation for the sum of the ages (x)+(x+3) +3(x+3)-1=87 explain the meaning of the variable and each term of the equation.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
\((x)+(x+3) +3(x+3)-1=87\)
simplifying the equation
\(x+x+3+3x+9-1=87\)
adding similar elements
\((x+x+3x)+(3+9-1-87)=0\)
\(5x-76=0\)
Thus, the equation is a linear equation in one variable 'x'.
A term is a single mathematical expression, so the simplified expression has two terms which are:
5x-76The term 5x has the variable 'x' of power 1.
The term -76 does not involve any variable, Hence, -76 is a constant term.
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
7
6-
5.
4
3-
2
1-
A
C
1 2 3
= this and return
B
a
S
6
C
What is the area of triangle ABC?
O 3 square units
O 7 square units
O 11 square units
O 15 square units
The area of triangle ABC is 6 square units.
To find the area of triangle ABC, we need to know the lengths of its base and height.
Looking at the given diagram, we can see that the base of triangle ABC is the line segment AC, and the height is the vertical distance from point B to line AC.
From the diagram, it is clear that the base AC has a length of 3 units.
To determine the height, we need to find the perpendicular distance from point B to line AC.
By visually inspecting the diagram, we can observe that the height from point B to line AC is 4 units.
Now, we can use the formula for the area of a triangle, which is given by:
Area = (1/2) \(\times\) base \(\times\) height
Plugging in the values, we get:
Area = (1/2) \(\times\) 3 \(\times\) 4
= 6 square units
Therefore, the area of triangle ABC is 6 square units.
Based on the provided answer choices, none of the options match the calculated area of 6 square units.
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Can you help me with this
==========================================================
Explanation:
Pick any two points on the line to apply the slope formula.
I'll select (-5,1) and (5,-1)
\((x_1,y_1) = (-5,1) \text{ and } (x_2,y_2) = (5,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-1 - 1}{5 - (-5)}\\\\m = \frac{-1 - 1}{5 + 5}\\\\m = \frac{-2}{10}\\\\m = -\frac{1}{5}\\\\\)
The slope as a fraction is -1/5
A slope of -1/5 means " go down 1, then to the right 5 units".
An example of this motion is when going from (-5,1) to (0,0)
Another example would be going from (0,0) to (5,-1)
----------
The "down 1, right 5" motion is because
slope = rise/run = -1/5rise = -1 = go down 1run = 5 = go to the right 5i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.
Answer:
jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj
Part A
Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones? Type your answer in scientific notation.
Part B
How many combined bits of storage do Theresa’s parents have on their phones? Type your answer in scientific notation.
Part C
How many combined bits of storage are there on the two tablets?
Part D
Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether? Type your answer in scientific notation.
Part E
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage? Type your answer in scientific notation.
Answer:part A including SD cards, Theresa and Ruben have 2.624 x 10^11 bits of storage.
Part b :32 bits
Step-by-step explanation:sorry that's all I know
Hope I helped
The required, solution of the given numeral in scientific notation is shown.
What is scientific notation?Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.
Here,
Part A: Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones?
Answer: 6.4 × 10¹¹ bits
Part B: How many combined bits of storage do Theresa’s parents have on their phones?
Answer: 2.4 × 10¹¹ bits
Part C: How many combined bits of storage are there on the two tablets?
Answer: 3.6 × 10¹⁰ bits
Part D: Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether?
Answer:6.9 × 10¹² bits
Part E: Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage?
Answer:8.6 × 10¹² bits
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Please and Thank You
Review the incomplete steps in the derivation of the tangent sum identity.
A 2-column table with 5 rows. Column 1 has entries Step 1: Original expression, step 2: rewrite using the definition of tangent, step 3: apply the sine sum identity and cosine sum identity, step 4: question mark, step 5: simplify using the definition of tangent. Column 2 has entries tangent (x + y), StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartFraction sine (x) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction, blank, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction.
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)
Answer:
D divide both the numerator and denominator by cos(x)cos(y)
Step-by-step explanation:
just took test
The derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).
What is trigonometric identity?The trigonometric identities is the relationship between the different trigonometric ratios.
These trigonometric identities are the basic formulae that are true for all the values of the reference angle.
For the given situation, the derivation for the tangent sum identity is given in the table below.
The derivation follows the steps,
\(\dfrac{sin (x+y)}{cos (x +y)}\)
we know that,
sin (x + y) = sin x cos y + cos x sin y
cos (x + y) = cos x cos y - sin x sin y
Substitute;
\(\dfrac{sin x cos y + cos x sin y}{cos x cos y - sin x sin y}\)
Divide each term by cos x cos y
\(\dfrac{\dfrac{sin x cos y}{cos x cos y} + \dfrac{cos x sin y}{cos x cos y} }{\dfrac{cos x cos y}{cos x cos y} - \dfrac{sin x sin y}{cos x cos y} }\)
Now, \(\dfrac{tan x + tan y}{1 - tan x tan y}\)
Hence we can conclude that the derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).
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Determine the interval in which this function is DECREASING
Answer:
4
Step-by-step explanation:
4
Find the area of polygon
Plsss help is for my tmrw finals
The area of each polygon in this problem is given as follows:
a) 252 square units.
b) 65 square units.
How to obtain the area of each polygon?For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:
A = 12 x 21 = 252 square units.
For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:
A = 0.5 x 13 x 10 = 65 square units.
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doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnuts.
Tom buys B bag of doughnuts and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C.
Answer:
T=4B+10C
Step-by-step explanation:
please help!!
50 points :)
Answer:
2x^2 -3x -54 =0
X=6 or X = -4,5
Answer:
2x^2 -3x -54 =0
X=6 or X = -4,5
Step-by-step explanation:
Melgartiago is correct i came to the same conclusion
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324