Answer (if we're solving for x):
\(x=-7\) or \(\frac{9}{2}\)
Step-by-step explanation:
Rearrange the terms from \(2x^{2} =63-5x\) to \(2x^{2}=-5x+63\)Move the terms to the left side: \(2x^{2}-(-5x+63)=0\)Use the "sum-product" pattern: \(2x^2+14x-9x-63=0\)Get the common factor drom the 2 pairs:\(2x(x+7)-9(x+7)=0\)Rewrite the equation in factored form as \((2x-9)(x+7)=0\)Create 2 equations from \((2x-9)(x+7)=0\): \(2x-9=0\\x+7=0\)This means that \(x\) can either be \(-7 (-7+7=0=x+7)\) or \(\frac{9}{2} (\frac{8}{2}=4; \frac{9}{2}=4.5)\)Andy is buying a car he negitiated a 7% decrease on a £6500 car he wil pay the full balance in 12 equal monthly payments calvulate the amount paid each month
Answer:
£503.75
Step-by-step explanation:
he negotiated a 7% decrease on a £6500:
the price of the car after discount is : 6500-(6500*7%) = £ 6045
£6045 paid fully in 12 month: £ 6045/12= £503.75
100 POINTS FRESHMAN MATH 1 FUNCTIONS HELP
Answer:
actually which one of thise is th qus in this????
Step-by-step explanation:
please tell
9.
Which is the asymptote of the graph?
A. y = −1
B. y = 1
C. y = 2
D. y = 0
Answer:
B. y = 1
Step-by-step explanation:
Answer:
the asymptote of the graph y = 1
Step-by-step explanation:
The asymptote of the graph y = 1 (Horizontal asymptote)
As you can see a line that a graph is approạching to as it heads towards infinity but it does not intersect.
Moreover, the value of y is decreasing over its domain. as you can see in the graph.
Which of the following Which of the following statements is true about the graphs of f(x)=x and g(x)=f(x+7)?statements is true about the graphs of f(x)=x and g(x)=f(x+7)?
A statement which is true about the graphs of f(x) = x and g(x) = f(x + 7) is: C. g(x) is the graph of f(x) translated 7 units to the left.
What is a translation?In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
In Geometry, g(x + 7) or g(x) = f(x + 7) simply means shifting a graph 7 units to the left as illustrated by the graph shown in the image attached below.
In this context, we can reasonably infer and logically deduce that the parent function f(x) = x was shifted by 7 units to the left.
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Complete Question:
Which of the following statements is true about the graphs of f(x)=x and g(x)=f(x+7)?
A. g(x) is the graph of f(x) translated 7 units down.
B g(x) and f(x) have the same y-intercept.
C g(x) is the graph of f(x) translated 7 units to the left.
D g(x) is the graph of f(x) translated 7 units to the right.
What is the largest number?
Answer:
The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100. To show how ridiculous that number is, mathematician Wolfgang H Nitsche started releasing editions of a book trying to write it down.
Step-by-step explanation:
if this helped plz mark brainliest
Given the function g of x is equal to the quantity 3 x squared plus 5 x plus 6 end quantity over the quantity x plus 3 end quantity determine the equation for the slant asymptote.
The equation for the slant asymptote of g(x) = \(\frac{3x^2+5x+6}{x+3}\) is 3x-4
The function, g(x) = \(\frac{3x^2+5x+6}{x+3}\)
We need to find its slant asymptote. The slant asymptote is determined by checking \(\lim_{x \to \infty}( g(x)-(ax+b)) = 0\) .
So we first divide the polynomial \(3x^2+5x+6\) by x+3 to find such an (ax+b).
3x - 4
x+3 | \(3x^2+5x+6\)
- \(3x^2+9x\)
---------------------------
-4x + 6
-4x - 12 -
--------------------------
18
Therefore, \(\frac{3x^2+5x+6}{x+3}\) = 3x - 4 + \(\frac{18}{x+3}\)
⇒ \(\frac{3x^2+5x+6}{x+3}\) - 3x - 4 = \(\frac{18}{x+3}\)
⇒ \(\lim_{x \to \infty}(\frac{3x^2+5x+6}{x+3}-(3x-4)) = 0\) , since \(\frac{18}{x+3}\) \(\rightarrow \infty\) as \(x \rightarrow \infty\).
So the equation for the slant asymptote of g(x) = \(\frac{3x^2+5x+6}{x+3}\) is 3x-4
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which point most closely approximates the product of A and b ?
Given data:
Suppose A is -1.1, and B is -0.9, the product of A and B is,
\(\begin{gathered} A\times B=(-1.1)\times(-0.9) \\ =0.99 \\ \approx1 \end{gathered}\)Thus, the product of A and B is more close to E, so option (E) is correct.
For the in parts A through E, choose the highest level of measurement (or cannot be determine).
A. Temperature of refrigerators ---
Nominal
Ratio
Cannot determine
Interval
Ordinal
B. Horsepower of race car engines ---
Ordinal
Interval
Nominal
Cannot determine
Ratio
C. Marital status of school board members ---
Interval
Nominal
Ordinal
Cannot determine
Ratio
D. Ratings of televisions programs (poor, fair, good, excellent) ---
Ordinal
nominal
Interval
Cannot determine
Ratio
E. Ages of children enrolled in a daycare
Ordinal
nominal
Interval
Cannot determine
Ratio
Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval
The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.
The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.
The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.
The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.
The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.
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classify the following data. indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. the amount of time each of five randomly selected basketball players play during a game.
The given data is quantitative, continuous, ratio.
What is qualitative data?
Quantitative data is information that is expressed as counts or numbers, each of which has a specific numerical value. Data is any measurable information that may be used by academics for statistical analysis and mathematical computations so that they can derive practical conclusions.
Quantitative information provides answers to inquiries like "How many?," "How often?," and "How much?" Mathematical approaches may be used to easily verify and assess this data.
What is continuous and ratio data?
If a continuous variable has a meaningful zero point, it is regarded as a ratio (i.e., as in age or distance).
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The number 3/4 can be found on a number line.
which number is the same distance from 0 and a number line?
Answer:
- 3/4
Step-by-step explanation:
-3/4 is at the same distance from 0 on a number line
Answer:
It would be -3/4
Step-by-step explanation:
Because it is the same distance from zero
Please please please help with b
The diameters of two circular pulleys are 6cm and 12 cm, and their centres
are 10cm apart.
a. Angle a = 72.54 degrees
b. Hence find, in centimetres correct to one decimal place, the length of a
taut belt around the two pulleys
The length of the belt around the two pulleys is approximately 49.2 centimeters.
How to determine the length of the belt around the two pulleys?
In this question we must determine the perimeter of a belt around two pulleys, whose centers are 10 centimeters apart. This perimeter is the sum of part of the circumference of small pulley, part of the circumference of the big pulley and two times the segment tangent to the two pulleys.
Now we proceed to determine the parts of the perimeter of the belt:
Big pulley
s' = (214.92° / 180°) · π · (6 cm)
s' ≈ 22.506 cm
Small pulley
s'' = (145.08° / 180°) · π · (3 cm)
s'' ≈ 7.596 cm
Tangent segments
l = (10 cm) · sin 72.54°
l ≈ 9.539 cm
Lastly, the perimeter of the belt is:
L = s' + s'' + 2 · l (1)
L = 22.506 cm + 7.596 cm + 2 · (9.539 cm)
L = 49.180 cm
The length of the belt around the two pulleys is approximately 49.2 centimeters.
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Substitution:
Y = 2x + 6
2x - y = 2
Answer:
no solution
-6 ≠ 2
Step-by-step explanation:
y = 2x + 6
2x - y = 2
substitute for y:
2x - (2x + 6) = 2
combine like terms:
-6 ≠ 2
In the United States, about _____ percent of all babies are walking by age 11 months, 50 percent are walking within a week after their first birthday, and about 90 percent are walking by age 15 months.
By age 11 months, approximately 50 percent of all babies are walking. This means that half of the babies in the country have reached the milestone of independent walking by this age.
The correct information regarding the percentage of babies walking in the United States is as follows:
By age 11 months, approximately 50 percent of all babies are walking. This means that half of the babies in the country have reached the milestone of independent walking by this age.
Within a week after their first birthday, around 75 percent of babies are walking. This indicates that three-quarters of the babies have begun walking on their own within a week of turning one year old.
By age 15 months, about 90 percent of babies are walking. This means that the majority of babies have achieved independent walking by this milestone.
It's important to note that these statistics are approximate and can vary for individual babies. The timing of when a baby starts walking can be influenced by various factors such as genetic predisposition, physical development, environmental factors, and personal experiences.
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS IM BEGGUNG YOU
First Question is boolean,
Question 35 is probably floating point ,
Question 36 is probably an integer, since it shows 1, 2, 3, and 1, 2, 3 are not fractions, and integers are whole numbers.
Im not 100% sure but I hope I helped,
Have a nice day/night :)
What is the value of expression
\( {5}^{3} \)
Answer:
125
What is an exponent?An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.
If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.
5 × 5 × 5 = 125Therefore, the answer to \(5^{3}\) is 125.
The sun is at a focus of Earth's elliptical orbit.
a. Find the distance from the sun to the other focus.
The distance from the sun to the other focus is 5.01 × 10⁹ m.
What is the distance from the sun?
(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;
2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.
(b) To express this in terms of solar radii, we set up a ratio;
(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2
Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.
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Complete question is;
The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
help-
question : complete each of the following based on the relationship between square and square root.
Answer:
root 49= 7^2
root 100= 10^2
root 144= 12^2
root 324= 18^2
root 441= 21^2
Step-by-step explanation:
Lion 30% Eagle 40 Anaconda 20% Crane 10% If 80 people were surveyed, how many more people voted for eagle than for anaconda?
Answer:
16
Step-by-step explanation:
8 =10%
8x2=16
16 is 20%
32=40%
8x4=32
32-16
1.935 people visit a library during one week.
The ratio children: adults is 1:4
How many more adults than children visited the library?
Answer:
34 34 34 34 34 34 34
Step-by-step explanation:
your welcome my
Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
1st Case:
4 and 5 are legs of the right triangle.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+5^2=x^2
16+25=x^2
41=x^2
x=√41
√41 is about 6.4
x=6.4
2nd Case
5 is the hypotenuse of the right triangle and 4 is the legs.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+x^2=5^2
16+x^2=25
x^2=9
x=3
Final Step
We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2
Anwser: 19.2
Use the substitution method to solve the following pairs of simultaneous
equations.
a. x = 8-3y, 2x + 5y = 13,
Answer: x= , y=
Answer:
Step-by-step explanation:
2x+5y = 13
2(8-3y)+5y =13
16-6y+5y = 13
y=3
x =8-3y = -1
I need help pls pls pls pls
Answer:
The answer is H
Step-by-step explanation:
right=positive
left = negative
up=positive
down=negative
Right is positive so you are adding 9 units and down would be negative so you are subtracting 7.
Which statement represents the expression?
6(5+7)
6 times 5 plus 7
7 more than 5 times 6
6 times the sum of 5 and 7
the product of 6 and 5 plus 7
Answer:
Should be the third one
Step-by-step explanation:
6(5+7)
5+7=12
6×12=72 |•-•|
Answer: I think it’s the 3rd one.
Step-by-step explanation:
6(5+7)
5+7=12
6×12=72
Hope it helps, have a great day!
4Interpreting z-scores: Complete the following statements using your knowledge about z-scores.
a. If the data is weight, the z-score for someone who is overweight would be
zero
positive
negative
b. If the data is IQ test scores, an individual with a negative z-score would have a
average IQ
high IQ
low IQ
c. If the data is time spent watching TV, an individual with a z-score of zero would
watch the average amount of TV
watch very little TV
watch a lot of TV
d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be
positive
negative
zero
a. If the data is weight, the z-score for someone who is overweight would be positive.
b. If the data is IQ test scores, an individual with a negative z-score would have a low IQ.
c. If the data is time spent watching TV, an individual with a z-score of zero would watch the average amount of TV.
d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be negative.
The z-score represents how far a data point is from the mean in terms of standard deviations. If someone is overweight, their weight would be above the mean weight, so their z-score would be positive.
Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone has a negative z-score for IQ test scores, it means their score is below the mean score, so their IQ would be low.
A z-score of zero means the data point is exactly at the mean, so someone with a z-score of zero for time spent watching TV would watch the average amount of TV.
Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone is making minimum wage, their salary would be below the mean salary, so their z-score would be negative.
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What is the measure of the indicated angle? 37∘ 53∘ 180∘ 127∘
Answer:
53∘
plz mark me as brainliest.
who was regarded as the father of geomotry
Answer:Euclid
Step-by-step explanation:
Euclid was an ancient Greek mathematician in Alexandria, Egypt. Due to his groundbreaking work in math, he is often referred to as the 'Father of Geometry'. Euclid's most well-known collection of works, called Elements, outlines some of the most fundamental principles of geometry.
Answer:
Euclid
I hope this helps you!
What is the length of the missing side?
NEED HELP LAST DAY TO SUMMIT
Answer:
A 3.5
Step-by-step explanation:
To Break it down there 1 3/4 so to put in halve it would be 1/2 1/2 1/2 1/4 so u have 3 feet because 1/2 in is 3 feet then u have a 1/4 inch so that is half of a feet 1 + 1 + 1 + 1/2 is 3 1/2 converted to decimal is 3.5.
cherry trees in a certain orchard have heights that are normally distributed with mean inches and standard deviation . (a) what proportion of trees are more than inches tall? (b) what proportion of trees are less than inches tall? (c) what is the probability that a randomly chosen tree is between and inches tall? round the answers to four decimal places.
(a) To find the proportion of trees that are more than a certain height, we need to calculate the area under the normal distribution curve to the right of that height. To do this, we can use a standard normal distribution table or a calculator.
First, we need to standardize the height by subtracting the mean and dividing by the standard deviation. Let's assume the mean height is μ inches and the standard deviation is σ inches.
Let X be a random variable representing the height of a cherry tree. We are given that X follows a normal distribution with mean μ and standard deviation σ.
To find the proportion of trees that are more than a certain height, let's say x inches, we can calculate the z-score using the formula:
z = (x - μ) / σ
Once we have the z-score, we can use a standard normal distribution table or a calculator to find the proportion of values that are greater than that z-score. This will give us the proportion of trees that are more than x inches tall.
(b) To find the proportion of trees that are less than a certain height, we can follow a similar approach. We calculate the z-score using the formula:
z = (x - μ) / σ
Then, we can use a standard normal distribution table or a calculator to find the proportion of values that are less than that z-score. This will give us the proportion of trees that are less than x inches tall.
(c) To find the probability that a randomly chosen tree is between two heights, let's say a inches and b inches, we need to calculate the area under the normal distribution curve between those two heights. We can do this by calculating the z-scores for both heights using the formula:
z1 = (a - μ) / σ
z2 = (b - μ) / σ
Once we have the z-scores, we can use a standard normal distribution table or a calculator to find the proportion of values that are between those two z-scores. This will give us the probability that a randomly chosen tree is between a and b inches tall
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