Answer:
what is your question friend? :)
Find f(0) if f (x) = log base 10 of 10 + 9^x + (x - 2)(x - 1)
Answer:
Step-by-step explanation:
1. The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547 (Magoosh website). Assume that GMAT scores are bell-shaped with a standard deviation of 100. What percentage of GMAT scores are 647 or higher
Answer:
16% of GMAT scores are 647 or higher.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average GMAT score is 547 (Magoosh website). Assume that GMAT scores are bell-shaped with a standard deviation of 100.
This means that [tex]\mu = 547, \sigma = 100[/tex]
What percentage of GMAT scores are 647 or higher?
The proportion is 1 subtracted by the p-value of Z when X = 647. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{647 - 547}{100}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16*100% = 16%
16% of GMAT scores are 647 or higher.
Write the equation in standard form for the circle with center (-3,3) and radius 3
Answer:
(x+3)^2+(y−3)^2=9
Step-by-step explanation:
The equation for a circle is given by
(x−h)^2+(y−k)^2=r^2 where (h,k) is the center and r is the radius
(x− -3)^2+(y−3)^2=3^2
(x+3)^2+(y−3)^2=9
Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin x = x
Answer:
[tex]x \approx 2.278863[/tex]
Step-by-step explanation:
Required
The positive root of [tex]3\sin(x) = x[/tex]
Equate to 0
[tex]0 = x -3\sin(x)[/tex]
So, we have our function to be:
[tex]h(x) = x -3\sin(x)[/tex]
Differentiate the above function:
[tex]h'(x) = 1 -3\cos(x)[/tex]
Using Newton's method of approximation, we have:
[tex]x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}[/tex]
Plot the graph of [tex]h(x) = x -3\sin(x)[/tex] to get [tex]x_1[/tex] --- see attachment for graph
From the attached graph, the first value of x is at 2.2; so:
[tex]x_1 = 2.2[/tex]
So, we have:
[tex]x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}[/tex]
[tex]x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}[/tex]
[tex]x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641[/tex]
The process will be repeated until the digit in the 6th decimal place remains unchanged
[tex]x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654[/tex]
[tex]x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627[/tex]
[tex]x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627[/tex]
Hence:
[tex]x \approx 2.278863[/tex]
The coefficient of x in the expansion of (x + 3)(x - 1) is
It’s either
2
-2
-3
4
Answer:
[tex]{ \tt{(x + 3)(x - 1)}} \\ = { \tt{ {x}^{2} - x + 3x - 3 }} \\ = { \tt{ {x}^{2} + 2x - 3 }} \\ \\ { \boxed{ \bf{coefficient = 2}}}[/tex]
Please help me please
Answer:
1. Paralleogram
2. Trapeziod
3. Square
4. Rhombus
5. Rectangle
6. I don't know
7. Rectangle
8. can't see it
9. Trapeziod
IN DESPERATE NEED OF HELP! PLEASE ANSWER!! Which of the following represents the synthetic division form of the long division problem below? (x^2+9x-2)÷(x-4)
Answer:its d
Step-by-step explanation:
Please help!!!! I need this ASAP Help
Answer:
Step-by-step explanation:
If x is -1, then the point on the parabol is (-1,4)
If x is 0, then the point on the parabol is (0,-2)
If x is 1, then the point on the parabol is (1,-6)
Im Struggling i could use some help pls!!
Answer:
option4 : 0.4
Step-by-step explanation:
[tex]Sin N = \frac{Opposite}{hypotenuse}[/tex]
[tex]sin 7 = \frac{x}{3.4}\\\\3.4 \times sin 7 = x \\\\3.4 \times 0.122 = x \\x = 0.41[/tex]
Evaluate 9x^2y^-2 for x = -3 and y = 2.
324
20 1/4
9(-6)°
1/144
9514 1404 393
Answer:
(b) 20 1/4
Step-by-step explanation:
9(-3)^2(2^-2) = 9(9)(1/4) = 81/4 = 20 1/4
Suppose that a dart board is given by a circle of radius 1 in R², centered at (0,0). You throw a dart at the dart board, and the position that it lands is given by a pair of random variables, (X,Y).
a. Suppose that the probability of a "Bull's Eye" is zero; that is, P(X = 0, y = 0) = 0.
b. Prove that there must be some integer n > 0 such that P (√X^2 +Y^2 > 1/2) > 0.
Answer:
Answer B
Step-by-step explanation:
The price of a technology stock has risen to $9.84 today. Yesterday's price was $9.73. Find the percentage increase. Round your answer to the
nearest tenth of a percent.
Answer:
the answer this number ...
What is the answer pls I need finals
Answer:
[tex]( - 2,1)[/tex]
Step-by-step explanation:
Hope it is helpful...
12
There are 81 counters in a bag.
32 of the counters are green.
The rest of the counters are orange.
One of the counters is taken at random.
Find the probability that the counter is orange.
helpppp pls
Answer:
49
81
Step-by-step explanation:
Probability = number of possible outcome.
number of total outcome.
= orange counters = 81 - 32 = 49
49
81
Find the area
96 sq meters
144 sq meters
84 sq meters
102 sq meters
Answer:
the answer is 84.... .....
Can y’all help me on question 15?!
Answer:
297
Step-by-step explanation:
5.5x4.5x12=297
Answer a, b and c. See image below
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]
[tex]\frac{9}{15}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]
The common denominators of the two fractions is 30. Comparing the two fractions:
[tex]\frac{21}{30} >\frac{18}{30}[/tex] or [tex]\frac{18}{30}<\frac{21}{30}[/tex]
so we get: [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Andnhaikalnandanunnhana
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Mar
25p+1t=51
solve for t
Answer:
t = 51 - 25p
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
25p + 1t = 51
Step 2: Solve for t
[Subtraction Property of Equality] Subtract 25p on both sides: 1t = 51 - 25pSimplify: t = 51 - 25pA certain country has 586.08 million acres of forest. Every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)
Answer:
At this pace the country will have only 237.6 million acres of forest left in 44 years.
Step-by-step explanation:
Given that a certain country has 586.08 million acres of forest, and every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes, to determine, if this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left, the following calculation must be performed:
Current amount - (amount lost per year x number of years) = 237.6
586.08 - (7.92 x X) = 237.6
586.08 - 7.92X = 237.6
-7.92X = 237.6 - 586.08
-7.92X = -348.48
X = -348.48 / -7.92
X = 44
Therefore, at this pace the country will have only 237.6 million acres of forest left in 44 years.
Question 13
Find the volume of the prism.
Answer:
[tex]\boxed {\boxed {\sf B. \ 324 \ cm^3}}[/tex]
Step-by-step explanation:
The volume of a triangular prism is the product of the area of the triangular cross-section (B) and the height (h).
[tex]V= B*h[/tex]First, let's find the area of the triangular cross-section/the end of the triangle. The area of a triangle is:
[tex]B= \frac{1}{2} b*h[/tex]
The base of the triangle base (not the prism) is 6 centimeters and the height is 9 centimeters.
b= 6 cm h= 9 cm[tex]B= \frac{1}{2} (6 \ cm)(9 \ cm)[/tex]
Multiply the numbers in parentheses.
[tex]B= \frac{1}{2}(54 \ cm^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]B= 27 \ cm^2[/tex]
Now we know the area of the cross-section or base is 27 square inches. The height of the prism is 12 centimeters.
B= 27 cm²h= 12 cmSubstitute the values into the volume formula for a triangular prism.
[tex]V= 27 \ cm^2 * 12 \ cm[/tex]
Multiply.
[tex]V= 324 \ cm^3[/tex]
The volume of the prism is 324 cubic centimeters and choice B is correct.
The volume of the triangular prism is 324 cubic centimeters, and choice B is correct.
The volume of a triangular prism is determined by multiplying the area of the triangular cross-section (B) by the height (h). In this case, the base (b) of the triangular cross-section is given as 6 centimeters, and the height (h) is given as 9 centimeters.
To find the area of the triangular cross-section (B), we can use the formula for the area of a triangle: B = (1/2) * base * height.
Substituting the values:
B = (1/2) * 6 * 9 = 27 square centimeters.
Next, we multiply the area of the cross-section (B) by the height (h) to find the volume (V) of the prism:
V = B * h = 27 * 12 = 324 cubic centimeters.
Therefore, the volume of the triangular prism is 324 cubic centimeters, and choice B is correct.
To know more about triangular prism:
https://brainly.com/question/27102803
#SPJ6
Có 6 quyển sách và 7 quyển vở. Hỏi có bao nhiêu cách chọn
một trong các quyển nói trên?
Answer:
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Step-by-step explanation:
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There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answer:
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of general admission tickets purchased.
y is the number of reserved tickets purchased.
There were 436 tickets purchased for a major league baseball game.
This means that [tex]x + y = 436[/tex], or also, [tex]x = 436-y[/tex]
The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00.
This means that [tex]6.5x + 8y = 3284[/tex]. Since [tex]x = 436-y[/tex]
[tex]6.5(436-y) + 8y = 3284[/tex]
[tex]1.5y = 450[/tex]
[tex]y = \frac{450}{1.5}[/tex]
[tex]y = 300[/tex]
And:
[tex]x = 436 - y = 436 - 300 = 136[/tex]
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
2x[tex]2x^{2} - 14x + 24[/tex]
please help me please!!! I'll give brainlest for correct answer
Answer:
why you just don't put the question up
Step-by-step explanation:
The function h is defined by the following rule h(x)=-5x-3
If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.
Answer:
y = -4x + 25
Step-by-step explanation:
[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]
Equation of line :
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]
Answer:
0=4x+y-5
Step-by-step explanation:
slope(m)=-4
y-intercept(c)=5
now, the equation joining the straight line satisfy the equation,
y=mx+c
or, y= -4x+5
or, 4x+y-5=0
or, 0=4x+y-5
it is the required equation.
Find the volume of the solid generated by revolving the region bounded by the x-axis, the curve y = 3x^4 , and the lines x = 1 and x = -1 about the x-axis.
Answer:
Let's define A as the area given by the integral:
[tex]\int\limits^1_{-1} {3x^4} \, dx[/tex]
Which is the area between the curve y = 3*x^4 and the x-axis between x = -1 and x = 1
To find the volume of a revolution around the x-axis, we need to multiply the area by 2*pi (a complete revolution)
where pi = 3.14
First, let's solve the integral:
[tex]\int\limits^1_{-1} {3x^4} \, dx = \frac{3}{5}(1^5 - (-1)^5) = \frac{3*2}{5} = \frac{6}{5}[/tex]
Then the volume of the solid is just:
V = (6/5)*2*3.14 = 7.536
I need help with this question.
Find the value for the side marked below.
Round your answer to the nearest tenth.
61°
135
y
y = = [?]
Answer:
[tex]65.4[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]