Answer:
14.6
Step-by-step explanation:
using the trigonometry ratio
cosine
cos35= 12/BC
BC= 12/cos35
BC = 14.64
Please help
__________________
Answer:
She will spend 2.66 dollars
Step-by-step explanation:
Answer:
she would spend $7.52
Step-by-step explanation:
A cell phone weighs about 2.8x 10pounds. Which value of n is most reasonable?
-3
-1
0
1
Answer:0
Step-by-step explanation: took the quiz
Evaluate the polynomial when x= -2: x^2+4x-1
The polynomial, f(x) = x² + 4·x - 1, has a value of -5 when x = -2
What is a polynomial?A polynomial consists of terms comprising of variables and numbers with positive integer indices with operations including additions, subtractions, multiplications.
The specified polynomial is f(x) = x² + 4·x - 1
The point at which the polynomial is evaluated is; x = -2
The value of the specified polynomial at x = -2 is therefore;
f(-2) = (2)² + 4 × (-2) - 1 = -5
The polynomial can also be evaluated by graphing polynomial and finding the point of intersection of the line x = -2 and the graph of the polynomial as follows;
The attached graph created with MS Excel, indicates that at the point x = -2 (represented by the point where the vertical line, x = -2, intersects the polynomial, x² + 4·x - 1) is the point where, f(x) = -5
The value of the polynomial, f(x) = x² + 4·x - 1, when x = -2 is -5.
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The circumference of the circle below is 26 cm. Work out the diameter of the circle. Give your answer in centimetres (cm) to 1 d.p. cm
Th diameter of the circle is 8. 3 cm
How to determine the diameterThe formula for calculating the circumference of a circle is expressed as;
C = 2πr or πd
Given that the parameters are;
C is the circumference of the circleπ takes the constant value of 3.14 or 22/7r is the radius of the circled is the diameter of the circleFrom the information given, we have that;
circumference = 26cm
Substitute the values, we get;
26 = 3.14d
make 'd' the subject
d = 26/3.14
d = 8. 3 cm
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Which number has a 5 that represents a value ten times greater than the value represented by the 5 in 41,253 ?
Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.
As 50 x 10 = 500 and the 5 in 23,521 represents 500.
Jane buys p packets of plain crisps and c packets
of cheese and onion crisps. Write down an
expression for the total number of packets of
crisps Jane buys.
The expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
How to obtain the total number of packets?The amounts of packets of crisps purchased are given as follows:
p packets of plain crisps.c packets of cheese and onion crisps.The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.
Hence the expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
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The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one time membership fee. The cost, G, is measured in dollars for m months. 1. Find the value of G(6).
Answer:
386.75
Step-by-step explanation:
added in the picture
The cost of joining the gym for 6 months is 386.75.
Given,
The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.
The cost, G, is measured in dollars for m months.
We need to find the value of G(6).
Here,
The one-time membership = 89.75.
Now,
Putting m = 6 months in:
G(m) = 49.5m + 89.75
G(6) = 49.5 x 6 + 89.75
= 297 + 89.75
= 386.75
Thus the cost of joining the gym for 6 months is G(6) = 386.75.
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A virtual environment created by game engine renders non-character objects more efficiently than it renders characters. If the assumption is that 70 percent of objects must be devoted to non-character objects and this reset cache is set at 56 non-character objects, how many objects can be characters before the cache resets?
According to the given percentage, the number of objects that can be characters before the cache resets is 24.
What is percentage?
Percentage is a way of expressing a fraction or proportion out of 100. It is commonly used in many different areas such as finance, math, science, and everyday life.
If we assume that 70% of the objects must be devoted to non-character objects, then the remaining 30% must be devoted to characters. Let C be the number of objects that can be characters before the cache resets. Then we have:
30% of (C + 56) = C
Expanding and simplifying this equation, we get:
0.3C + 16.8 = C
0.7C = 16.8
C = 24
Therefore, the number of objects that can be characters before the cache resets is 24.
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Please help me answer this question, thanks!
The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.
To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.
The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.
The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -A and b = 250. Plugging in these values, we get:
x = -250 / (2 * (-A))
= 125 / A
To find the maximum revenue, we substitute this value of x into the revenue equation:
R = -A * (125 / A)^2 + 250 * (125 / A)
= -A * (15625 / A^2) + (31250 / A)
= -15625 / A + 31250 / A
= 15625 / A
The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.
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plssssss helppppp i give 98 points
To write 28 + 24 as a product of two factors, we need to determine the HCF of the addends (28 and 24). This can be done by listing the factors of the addends. The greatest factor that is common in 28 and 24 is the HCF.
If the number is in bolded text, the number is a common factor.
Factors of 28: 1, 2, 4, 7, 14, 28Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Since 4 > 2 > 1, the HCF is 4.
2) Writing 28 and 24 as a product of two factorsNow, let us put the provided expression between parentheses.
⇒ (28 + 24)Finally, factor four out of the expression, as it is the GCF of 28 and 24.
⇒ (28 + 24)⇒ [(4 × 7) + (4 × 6)]⇒ 4(7 + 6)Therefore, 28 + 24 as a product of two factors is 4(7 + 6).
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How can you multiply fractions and mixed numbers?
Step-by-step explanation:
In order to multiply fractions and mixed numbers, you must first transform the mixed number into a single fraction (will most likely turn into an improper fraction). An improper fraction is a fraction where the numerator is greater than the denominator.
Example:Suppose that you were given the following fractions to multiply:
\(\large\mathsf{\frac{5}{7}\:\times\:2\frac{3}{5}}\)
The first step is to transform the mixed fraction, \(\large\mathsf{2\:\frac{3}{5}}\), into a single fraction.
You will have to multiply the denominator with the whole number, then add the numerator. The denominator does not change when you do this transformation processs.
The mixed fraction will now turn into the following improper fraction:
\(\large\mathsf{2\:\frac{3}{5}}\) ⇒ \(\large\mathsf{\frac{13}{5}}\)
Now, you will be able to multiply \(\large\mathsf{\frac{5}{7}}\) and \(\large\mathsf{\frac{13}{5}}\) together by multiplying the numerator, 5 and 13 and the denominator, 7 and 5.
\(\large\mathsf{\frac{5}{7}\:\times\:\frac{13}{5}\:=\:\frac{5\:\times\:13}{7\:\times\:5}\:=\:\frac{65}{35}}\)
Since the product of the two fractions is an improper fraction, it is often customary to express the fraction into its lowest terms. Given the improper fraction, \(\large\mathsf{\frac{65}{35}}\), the greatest common factor between 65 and 35 is 5.
Hence, we could simply divide the numerator and the denominator by \(\large\mathsf{\frac{5}{5}}\) to simplify the fraction.
\(\large\mathsf{\frac{65}{35}\:\div\:\frac{5}{5}\:=\:\frac{13}{7}}\)
Therefore, the final answer is: \(\large\mathsf{\frac{13}{7}}\) . To transform this improper fraction into a mixed number, simply divide its numerator by the denominator, thereby resulting into the following mixed number: \(\large\mathsf{1\:\frac{6}{7}}\).
Need help with #2 and #3 all of the problem
Answer:
ang hirap wag nlang hahahahahahahaha
Which shows one way the equation can be represented in words? Z-6=14
A.The dfference of a number and z is the same as one and four-tenths.
B.Anumber subtracted from one and four-tenths is equal to six.
C.Six less than a number is the same as one and four-tenths.
D.Sx decreased by a number is equal to one and four-tenths.
Answer: c
Step-by-step explanation:
c is the answer
This table gives a few (x, y) pairs of a line in the coordinate plane. х у -28 - 54 -21 -40 - 14 -26 What is the y-intercept of the line?
with this table we can calculate the slipe of the line that is:
\(\begin{gathered} m=\frac{18-24}{-74-(-94)} \\ m=\frac{-6}{20}=-\frac{3}{10} \end{gathered}\)now with the equation of the line and a pait of coordinates we can find the y-intercept so:
\(\begin{gathered} 24=-\frac{3}{10}(-94)+b \\ 24-28.2=b \\ -4.2=b \end{gathered}\)SO the equation of the line is:
\(y=-\frac{3}{10}x-4.2\)So to find the x-intercept we replace y = 0 so:
\(\begin{gathered} \frac{3}{10}x=-4.2 \\ x=\frac{-4.2\cdot10}{3} \\ x=-14 \end{gathered}\)So the order pair is:
\((-14,0)\)Which number doesn't share the same pattern as
2,20, 4,8,300
a medical researcher wants to determine whether exercising can lower blood pressure. she recruits 100 people with high blood pressure to participate in the study. she assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. she assigns the other 50 to refrain from vigorous activity. she measures the blood pressure of each of the 100 individuals both before ad after the study. press space or enter to grab observational study a medical researcher wants to determine whether exercising can lower blood pressure. at a health fair he measures the blood pressure of 100 individuals and interviews them about their exercise habits. he divides the individuals into two categories: those whose typical level of exercise is low and those whose level of exercise is high. press space or enter to grab randomized experiment to determine the effectiveness of a new pain reliever a randomly chosen group of pain sufferers is assigned to take the new drug and another randomly chosen group is assigned to take a placebo. press space or enter to grab randomized experiment to assess the effectiveness of a new method for teaching arithmetic to elementary school children a simple random sample of 30 first graders was taught with the new method and another simple random sample of 30 first graders was taught with the currently use method. at the end of eight weeks the children were given a test to assess their knowledge. the press space or enter to grab observational study researchers examine the association between the fluoridation of water and the prevention of tooth decay by comparing the prevalence of tooth decay in countries that have fluoridated water with the prevalence in countries that do not.
The study described is a randomized experiment.
A randomized experiment is a typical experimental study design. It is a study design in which the researcher or investigator is in complete control of the research environment. For example, an investigator may wish to assess the effects of certain treatments on some experimental units.
The investigator decides the type of treatment, the type of experimental unit to use, and the allocation and assessment procedures of the treatments and effects, respectively, while in an observational study, the researcher or investigator is usually a passive observer as he only observes and analyses facts and events as they occur naturally.
In experimental studies, the researcher is in complete control of the exposure, and the result should therefore provide stronger evidence of an association or lack of association between exposure and a health problem than would an observational study.
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"Determine whether the study described below is a randomized experiment or an observational study.
A medical researcher wants to determine whether exercise can lower blood pressure. She recruits 100 people with high blood pressure to participate in the study. She assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. She assigns the other 50 to refrain from vigorous activity. She measures the blood pressure of each of the 100 individuals both before and after the study."--
sam runs a large chain of car repair shops. he pays his employees for 8 hours of work each day. the employees have to log the amount of time they spend working on each job, which results in a number of billable hours for each employee each day. sam would like to estimate the mean number of billable hours for the large number of employees at the company. to do so, he selects a random sample of 10 employees and asks them how many billable hours they tend to have each day. from their responses, he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company. which of the following may have an impact on the confidence interval, but is not accounted for by the margin of error?
Sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.
What is Sampling variation?
The term "sampling variance" describes how much a sample estimate (a statistic) is likely to fluctuate from sample to sample due to the unique nature of each sample.
Sample Sizes and Variability are the factors which lead to sampling variation. As and when the sample size is changed i.e. either increased or decreased, the variability of samples fluctuates.
Since, Sam runs a large chain of car repair shops, this means he has large number of employees.
But his sample size is only of 10 employees whom he asks about their billable hours from which he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company.
Since, sampling variation is greatly affected by the sample size and variability, therefore it will have more impact on confidence interval.
Hence, sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.
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Since the options are missing in the question, here are the options from which answer is to be chosen
response biasnonresponse biassampling variationundercoverage biasFind the equation of a line that contains points (5,-3) and (-2,-4) in standard form
To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.
Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (5, -3) and (-2, -4), we have:
m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7
Use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (5, -3), we have:
y - (-3) = (1/7)(x - 5)
Simplifying:
y + 3 = (1/7)(x - 5)
Convert the equation to standard form:
Multiply both sides of the equation by 7 to eliminate the fraction:
7y + 21 = x - 5
Rearrange the equation to have the x and y terms on the same side:
x - 7y = 26
The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.
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HELP!!! Cheryl writes 7 fewer posts than Kevin on a social media site. Answer the questions to write an algebraic expression. Then evaluate the expression for the given value. 1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. 4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
3
Step-by-step explanation:
cause if she writes 4 posts and kevin writes 21 than she only have 3 posts left that she have write
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)
Cheryl wrote 14 posts, because 21 - 7 = 14
Which angles below are equal to ∠CDB?
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
Price ($)87654321Price of CupsFind the unit rate ofthe price per cup.$[?]$54 cups 1 cup=Give your answer asa decimal.
Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for slope
\(m=\frac{y_2-y_1}{x_2-x_1}\)STEP 2: Pick two points
STEP 3: Find the unit price per cup
Since 4 cups cost $5, one cup will cost
\(\frac{5}{4}=\text{ \$}1.25\text{ per cup}\)Therefore, the answer is $1.25
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Jewel spins the pointer of a spinner. The spinner has 7 equal-sized sections labeled 1 to 7. What is the probability that Jewel will spin a 7?
Answer:
14
Step-by-step explanation:
It's a probability, divide favorable outcomes to total outcomes
Answer:
14%
Step-by-step explanation:
There are 7 sections of equal size.
The total number of possible outcomes is 7.
There is one single outcome that is desired, landing on 7.
probability of an event = (number of desired outcomes)/(total number of possible outcomes)
p(7) = 1/7 = 0.142857... = 14%
Answer: 14%
A 5-kilogram bag of cat food costs $18.90. What is the unit price?
$
per kilogram
Answer:
3.78
Step-by-step explanation:
given;, angle 2 = angle 4. angle 2 = 110
prove angle 3 = 70
Answer:
Step-by-step explanation:
180-110+70
mjkjnkj nkbjhbjhbhjbjh?
Answer:
huh?
Step-by-step explanation:
Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
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ok, got some year 12 maths.
whats 7+3
Answer:
.............It should be 10 :)
Pre - Calculus evaluate exponential derivative at a point !
Answer:
\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)
Step-by-step explanation:
Use Quotient Rule to find f'(x)
\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)
Find f'(1) using f'(x)
\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)
Answer:
\(f'(1)=-\dfrac{9}{e^{3}}\)
Step-by-step explanation:
Given rational function:
\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)
To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)
\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)
\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)
Therefore:
\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)
\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)
\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)
To find f'(1), substitute x = 1 into f'(x):
\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)
\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)
\(f'(1)=-\dfrac{9}{e^{3}}\)
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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Can someone help me on this Please
9514 1404 393
Answer:
11.6 cm
Step-by-step explanation:
As the page title tells you, the Pythagorean theorem must be applied more than once. As you know, it tells you the square of the hypotenuse is the sum of the squares of the two sides.
AD² = ED² +EA²
EA² = AD²-ED² = 7² -6² = 13
EA = √13 ≈ 3.606
__
CD² = ED² +EC²
EC² = CD² -ED² = 10² -6² = 64
EC = √64 = 8
__
The length of the horizontal diagonal is ...
AC = EA +EC = 3.6 +8 = 11.6 . . . cm