Answer: 16
Step-by-step explanation: 112 is equal to the product of 7 and Raj's score. Therefore, Raj's score score is 112 divided by 7 which is 16.
Answer:
Raj´s score = 16
Step-by-step explanation:
112 = 7R
R = Raj´s score
112/7 = R
R = 16
In a story about a doctor trying to treat a patient with mysterious symptoms, which scene would most likely be the climax?
What does it mean to the rise over run when the slope is an integer? a. the rise number is one c. the run part of the slope is going to be one b. the run number is always negative d. there will be no slope Please select the best answer from the choices provided
Answer:
C
Step-by-step explanation:
When the run part (the difference between x-coordinates of the two points on the line) is 1, the slope is an integer.
Area of a Parallelogram
i 13 cm
20 cm
15 cm
View One Minute Version
Overview
Answer:
260 cm^2
Step-by-step explanation:
The area of a parallelogram is calculated by multiplying its height and base:
The base for this parallelogram is given as 20 and the height is 13
13*20 = 260
The area is stated in square units so the answer is 260 cm^2
Solve inequality -8x+4≤36.
[tex]\bf{-8x+4\leq 36 }[/tex]
Subtract 4 from both sides.
[tex]\bf{-8x\leq 36-4 }[/tex]
Subtract 4 from 36 to get 32.
[tex]\bf{-8x\leq 32 }[/tex]
Divide both sides by −8. Since −8 is <0, the inequality direction is changed.
[tex]\bf{x\geq \dfrac{32}{-8} }[/tex]
Divide 32 by −8 to get −4.
[tex]\bf{x\geq -4 \ \ \Rightarrow \ \ \ Answer }[/tex]
{ Pisces04 }Question :
Solve inequality -8x + 4 ≤ 36Solution :
⇒ -8x + 4 ≤ 36
⇒ -8x ≤ 36 - 4
⇒ -8x ≤ 32
⇒ -x ≤ 32 / 8
⇒ -x ≤ 16 / 4
⇒ -x ≤ 8 / 2
⇒ -x ≤ 4
⇒ x ≥ -4
Choose the proportion that is true.
3/8=15/40
12/13=2/3
9/13=27/36
16/49=4/7
Answer:
3/8=15/40
Step-by-step explanation:
Multiply both the numerator and the denominator of the first term by 5 and you'll see that it's the same fraction.
Alexander is working two summer jobs, making $10 per hour washing cars and $8 per hour landscaping. Last week Alexander worked twice as many hours washing cars as he worked hours landscaping hours and earned a total of $84. Write a system of equations that could be used to determine the number of hours Alexander worked washing cars last week and the number of hours he worked landscaping last week. Define the variables that you use to write the system.
The system of equations is:
x = 2y
x*$10 + y*8 = $84
Solving it, we see that he worked 3 hours landscaping and 6 hours washing cars.
How to write the system of equations?
First, we need to define the variables:
x = number of hours washing cars.y = number of hours landscaping.We know that Alexander worked twice as many hours washing cars as he worked hours landscaping, then:
x = 2y
We also know that he earned a total of $84, then:
x*$10 + y*8 = $84
So the system of equations is:
x = 2y
x*$10 + y*8 = $84
To solve it, we just replace the first equation into the second one:
(2y)*$10 + y*8 = $84
y*$28 = $84
y = $84/$28 = 3
So He worked 3 hours landscaping, and:
x = 2*y = 2*3 = 6
6 hours washing cars.
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Signs you're adulting
Conducted by OnePoll on behalf of Avocado Green Brands, a recent survey of 2,000 Americans
delved into the different actions that have helped respondents to feel like an adult. Topping the list
was living on their own (30%) for the first time, followed by buying a house (28%) and getting
married (27%).
a) If we define a "success" as thinking that buying a house makes one feel like an adult, how many
successes would we find in this sample of 2000 Americans?
Give an integer
answer.
b) Construct a 98% confidence interval to estimate the proportion of all Americans who think that
living on their own makes someone feel like an adult, assuming a sample size of 2000 and the
statistics given by One Poll. Give each of the interval endpoints as a percent, rounded to one
decimal places. (
%,
%)
The 98% confidence interval of the proportion of all Americans who think that living on their own makes someone feels like an adult is (29.0%, 31.0%)
The number of successThe given parameters are:
Sample size, n = 2000Probability of success, p =28%The number of success is then calculated as;
[tex]\bar x = np[/tex]
This gives
[tex]\bar x = 2000 * 28\%[/tex]
Evaluate
[tex]\bar x = 560[/tex]
Hence, 560 successes would be found in the sample of 2000 Americans
The 98% confidence intervalThe proportion that lives on their own is:
p = 30%
The z-score for 98% confidence interval is
z = 2.326
The confidence interval is calculated as:
[tex]CI = \bar p \pm z * \sqrt{\frac{\bar p(1 - \bar p)}{ n}[/tex]
So, we have:
[tex]CI = 30\% \pm 2.326 * \sqrt{\frac{30\%(1 - 30\%)}{2000}[/tex]
Evaluate
[tex]CI = 30\% \pm 1\%[/tex]
Expand
CI = (30% - 1%, 30% + 1%)
Evaluate
CI = (29%, 31%)
Hence, the 98% confidence interval is (29.0%, 31.0%)
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Write the arithmetic series 3+9+15+21+27 using summation notation
Answer:
_ t&byds
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f(x)=x^2-x-1 , average rate of change of f over interval -2 greater than or equal to x less than or equal to 1
The average rate of change within the function f(x)=[tex]x^{2} -x-1[/tex]is -2.
Given The function f(x)=[tex]x^{2} -x-1[/tex]
We have to search out the typical rate of change of function within the interval (-2,1).Interval is largely a variety between numbers lying on the quantity line which may be a line on which different numbers are plotted.
We know that average rate of change =f(b)-f(a)/(b-a)
we have to first know the values of function at different values of x.
f(x)=[tex]x^{2} -x-1[/tex]
f(1)=1-1-1
=-1
f(-2)=4+2-1
=5
b=-2
a=1
put within the formula:
A=-1-5/1+2
=-6/3
=-2
Hence average rate of change of the function within the interval (-2,1) is -2.
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fin the domain of the function f(x)=x^2+7
Answer:
all real numbers
Step-by-step explanation:
Answer:
Step-by-step explanation:
Comment
You are going from a very small number (like - 100000) to a very large number (like + 100000).
But neither of those could be the answer. They are either not small enough or not large enough. The domain must look like this.
- ∞ < x < ∞
Answer: So the domain is all the real numbers.
The area of a rectangle is 119 square units. Find the length and width of the rectangular
Answer: 7 and 17
Step-by-step explanation:
Since the area of a rectangle is the product of the two sides, the product of these two numbers must be 119.
The factors pairs of 119 are 1 and 119, and 7 and 17.
x+7 and x-3 have a difference of 10. The difference of 7 and 17 is also 10. Hope this helped!
In the future, please take a less blurry photo because I had to guess the part where I think it said x-3.
what is the perimeter of a rectangle with the of 10cm and width 20cm
Suppose that F(x) = x² and G(x) = 2/5 x². Which statement best compares the
graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) stretched vertically and
flipped over the x-axis.
B. The graph of G(x) is the graph of F(x) stretched vertically.
C. The graph of G(x) is the graph of F(x) compressed vertically and
flipped over the x-axis.
OD. The graph of G(x) is the graph of F(x) compressed vertically.
Answer: The graph of G(x) is the graph of F(x) compressed vertically.
Step-by-step explanation:
See attached image.
Given ∆ABC with vertices A(−4, −3), B(0, 0), C(2, −3) and ∆DEF with vertices D(3, 1), E(6, -3), F(3, −5), use the definition of congruence in terms of rigid motion to show that ∆ABC ≅ ∆DEF. Describe each rigid motion in terms of coordinates (x, y
By SSS congruency criteria ΔABC ≅ ΔDEF
What is congruency?Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The given vertices of the triangles are;
ΔABC: A(−4, −3), B(0, 0), C(2, −3)
ΔDEF: D(3, 1), E(6, -3), F(3, −5)
The lengths of the sides of ΔABC are
AB = √((0+4)² + (0+3)²) = √25 = 5
BC = √((2-0)² + (-3 - 0)²) = √13
AC = √((2+4)² + (-3 +3)²) = √36 = 6
The lengths of the sides of ΔDEF are;
DE = √25=5
EF = √13
DF = √36 = 6
As,
AB= DE, BC = EF , AC= DF
So, By SSS congruency criteria ΔABC ≅ ΔDEF
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who knows how to sketch these kinds of graphs need help asap
Answer:
We first need to know the graph of the basic function belonging to the trigonometric family, which is sin x.
Now we need to apply basics of functions to get the graph of y = -sinx from y = sinx
If x is the input in the y = sinx , then sin x will be the output which will be represented on the y axis. Eg :
If x = pi/2
then output will be y = sin(pi/2) = 1
Hence in the graph of sinx, at x =pi/2 the value of y is 1.
Once we have understood this, we can use the same logic in the case
y = -sinx
If x = pi/2
then output will be y = - sin(pi/2) = -1
Here we can see that the output of y = - sin x will be the exact negative of of the output of y = sinx
Hence all portions of the graph of y = sinx in the +y axis will come down to the -y axis for y = -sin x, i.e we will be taking mirror image of the graph along the x axis. Below are the graphs of y=sinx and y= - sinx respectively for your reference:
(image courtesy Microsoft graphic calculator)
Part D
Explain how an insurance company can pay a large benefit even if it hasn't collected that amount from an individual's premiums.
Pooling can be referred to the process of how an insurance company can pay a large benefit even if it hasn't collected that amount from an individual's or company premium in this type of context.
What is Insurance?This is referred to as a type of protection against financial loss or other forms of incidents or risks and there are different types which cater for different purpose or reasons and they include life, vehicle insurance etc. The insurance plan is usually sold by designated insurance companies and are accessible to the public.
Pooling is the process which involves the smaller firms purchasing better interest rates which helps to lessen the cost of coverage. This also ensures that benefits are paid at the right time so as to avoid hassle and other forms of issues which may arise from this important process.
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The residence of a city voted on whether to raise property taxes the ratio of yes votes to know votes was 5 to 6 if there was 5844 Novos what was the total number of votes
What happens when you reflect an object over intersecting line( combination of reflection)?
Answer:
Step-by-step explanation:
The Compositions of Reflections Over Intersecting Lines Theorem states that if we perform a composition of two reflections over two lines that intersect, the result is equivalent to a single rotation transformation of the original object.
hope it helps! (✿◠‿◠)
The result concluded is equivalent to a single rotation transformation of the original object.
Explanation of how reflection across axis works?When a graph is reflected along an axis, say x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.
The Compositions of Reflections Over Intersecting Lines states that if we perform a composition of two reflections over two lines that intersect.
The result concluded is equivalent to a single rotation transformation of the original object.
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Given the function r(x)=x−4x 9, find the values of x that make the function less than or equal to zero. write the solution in interval notation.
Inequalities help us to compare two unequal expressions. The solution that will make the value of the function r(x) less than equal to 0 is [3,∞).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
To find the value of x that will make the function r(x)=x-4x+9 less than or equal to 0 solve the inequality,
x - 4x + 9 ≤ 0
x - 4x ≤ -9
-3x ≤ -9
x ≥ (-9)(-3)
x ≥ 3
Hence, the solution that will make the value of the function r(x) less than equal to 0 is [3,∞).
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Use the function below to find F(3).
Answer:
The choice D.
Step-by-step explanation:
[tex]f(x) = {( \frac{1}{6} })^{x} \\ \\ f(3) = {( \frac{1}{6} })^{3} = \frac{ ({1})^{3} }{( {6})^{3} } = \frac{1}{216} [/tex]
represent the complex number graphically, and find the trignometric form of the number. 1 + 3i
The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Complex number is in the form z = a + bi, where a, b are real numbers.
Given the complex number z = 1 + 3i
In polar form: r = √(1² + 3²) = 3.16
Ф = tan⁻¹ (3/1) = 71.57⁰
The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]
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Dana’s phone has zero battery. After charging her phone for one minute it has 2% battery. After 2 minutes her phone has 6% battery. Based on this predict the number of minutes it will takes for Dana to charge her phone battery’s so that it had 50% power and 90% power.
Using the line of best-fit, it is found that:
50% power is obtained after 16.8 minutes.90% power is obtained after 30.1 minutes.How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, the points are:
(0,0), (1,2), (2,6).
Hence, using a calculator, the estimate for the battery after x minutes is given as follows:
y = 3x - 0.333.
50% power is obtained when y = 50, hence:
50 = 3x - 0.333
x = 50.333/3
x = 16.8 minutes.
90% power is obtained when y = 90, hence:
90 = 3x - 0.333
x = 90.333/3
x = 30.1 minutes.
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For the given functions f and g find f•g and state it’s domain
f(x) = 3x - 6; g(x) = 8x +4
f.g and its domain is 24x²-36x-24; all real numbers.
Given, f(x) = 3x - 6; g(x) = 8x +4.
We need to find the value of f.g
What is a domain?The domain of a function; In mathematics, the domain of a function is the set of inputs accepted by the function.
Now, (f.g)(x)=(3x-6)(8x+4)
=24x²-48x+12x-24
=24x²-36x-24
Therefore, f.g and its domain is 24x²-36x-24; all real numbers.
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Simplify. Write your answers without exponents.
Answer:
1. 1/27 2. 1/16
Step-by-step explanation:
First can be rewritten as (1/9)^(1/2 * 3) and anything to the power of 1/2 is a sqrt. So it is sqrt(1/9)^3. Then (1/3)^3 which is 1/27
Second, the negative bring the number to the bottom, 1/(32)^4/5. Then can be written as [tex]\sqrt[5]{1/32}[/tex]^4. 5th root of 1/32 is 1/2 then 1/2^4 is 1/16
If f(x) = 2x²-5, f(5) =
Answer:
f(5) = 45
Step-by-step explanation:
If f(x) = 2x²-5 , f(5) =
f(5) = 2(5)² - 5
f(5) = 2(25) - 5
f(5) = 50 - 5
f(5) = 45
Find the value of x.
helpppp
Answer: [tex]55^{\circ}[/tex]
Step-by-step explanation:
The measure of the third unknown arc is
[tex]360^{\circ}-70^{\circ}-110^{\circ}=180^{\circ}[/tex].
So, [tex]x=\frac{180^{\circ}-70^{\circ}}{2}=\boxed{55^{\circ}}[/tex]
A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bow. The rope is hauled in at the rate of 1 ft/sec. Complete parts (a) and (b). a. How fast is the boat approaching the dock when 10 ft of rope are out? ft/sec (Type an integer or a simplified fraction.) b. At what rate is the angle changing at this instant? rad/sec (Type an integer or a simplified fraction.)
a) The speed of the boat is 3/5 ft/sec
b) The rate at which the angle changes is 8/125 rad/sec
What is a right angled triangle?A right angled triangle is a type of the triangle with one of its angles 90°.
The longest side of the triangle is called the hypotenuse which is the side that faces the right angle. other sides are called the adjacent sides.
Analysis:
The analysis is in the attached file below.
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find the length of segment AC if AB=7.8 cm and BC=25 mm. how many solutions are there in each case? Point B lies on segment AC
Answer:
10.3. and One solution
Step-by-step explanation:
I had this question, tho it might be different
HELP................................................
Answer:
D. g(x) = 5x^2
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
A point of the function g(x) is known: (1, 5)
The proper function is
[tex]g(x)=5x^{2}[/tex]
Demonstration calculating g(1)
[tex]g(1)=5(1)^{2} =5(1)=5[/tex]
The point (1, 5 ) belongs to this function
Hope this helps
Find the equation that results from completing the square in the following equation. x^2−20x+75=0
Enter your answer in the binomial square form: (x+2)2=10.
The equation that results from completing the square in the following equation. x^2−20x+75=0 is (x+2)^2 = 10
What is completing the squares method for solving the quadratic equations in one variable?The method "completing the squares", as per the name suggests, try to make the quadratic equation of the form such that the x variable is totally covered in single squared term, as the square of a linear expression in x.
GIven;
x^2−20x+75=0
Subtract 75 from each side
x^2−20x+75 - 75 = -75
Take the coefficient of x
20
Divide by 2
10
Square it
100
Add it to each side
x^2 +5x + 100 = -75 + 100
(x+2)^2 = 10
Take the square root of each side
x+2 = 10
x = 8
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