Answer:
I don't see the problem, Where is the image?
At the beginning of a month, your account balance was $738. During the month,
you withdrew $550, deposited $189, and paid a fee of $10. What was your balance
at the end of the n month?
Answer:
$367
Step-by-step explanation:
738-550+189-10=367
What is the least common multiple of 3, 9, and 12?
Answer:
36
Step-by-step explanation:
3=3
9=3*3 = 3^2
12=2*2*3 = 2^2*3
lcm = 2^2*3^3
= 4*9
therefore lcm= 36
Answer:
36
Step-by-step explanation:
\(\bold{3} \times \bold{12} = 36\\\bold{9} \times 4 = 36\)
Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,[infinity]). Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.
The required answer is sec θ = -√2.
Explanation:-
Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).
To determine three possible angles θ, the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.
Therefore, sec θ = 1/cos θ.To find cos 11π/4, the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.
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What is f(3) for the function f(x) = 2x +5?
Answer:
f(3) = 11
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 2(3) + 5 = 6 + 5 = 11
Write an equation of the parabola that has the same shape as the graph of f(x)= 3x², but with the point (3,-4) as the vertex.
Answer: y = 3(x-3)^2-4
==================================================
Explanation:
The graph of y = 3x^2 has (0,0) as the vertex.
To move from (0,0) to (3,-4) we will shift 3 units right and 4 units down.
Therefore, we will have y = 3(x-3)^2-4 as the answer
It is of the form y = a(x-h)^2+k with (h,k) being the vertex.
The 'a' value out front vertically stretches or compresses the parabola. Also if a > 0, then the parabola opens upward; or if a < 0, then the parabola opens downward.
We keep the same value of 'a' so that both parabolas have the same shape.
y=1/2 (x-4)^2 how has it been transformed from y=x^2
Answer:
Step-by-step explanation:
Initial Function:
y=x²
Move the parent function 4 units to the right ( moves horizontally).
y = (x-4)²
Make the function's opening wider
y = 1/2 (x-4)²
The graph moves 4 units to the right and widens.
Through:(-4,-3), parallel to y=-4
The equation of the line that is parallel to y = -4 is expressed as: y = -3.
How to Find the Equation of Parallel Lines?A horizontal line has a slope of 0, therefore, the equation that represents a given horizontal line is expressed as y = b, where b is the value of the point where the horizontal line intercepts the y-axis.
Given the equation, y = -4, this shows that the line is a horizontal line. The line intercepts the y-axis at y = -4.
We are also told that another line that is parallel to y = -4 passes through the point, (-4, -3). This means the parallel line is also a horizontal line. Therefore, the line will intercept the y-axis at -3.
To write the equation of the parallel line, substitute b = -3 into y = b:
y = -3.
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If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
Pls answer i will mark as branliest
Answer:
A) Corresponding Angles Theorem (They correspond to each other)
B) If <XBC = 55 Then <XCB = 55
(Because they both are opposite to equal sides)
Now, Finding <BXC:
=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)
=> <BXC = 70 degrees
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
D, y = 200x
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Answer: D
Step-by-step explanation: this one models that y = 200 L times the number of minutes, which is correct
a random sample of 815 adults surveyed resulted in 20% preferred honey to jam/jelly on their peanut butter sandwich. find the 99% confidence interval for the proportion of adults that prefer honey. what is the ul, upper limit of the confidence interval? do not round
The upper limit of the confidence interval is 0.243 at 99% confidence and the interval for the proportion of adults that prefer honey is 0.157 and 0.243.
Sample size = 815
sample proportion = 0.2(20%)
Confidence = 99%
To calculate the 99% confidence interval for the proportion of adults that choose honey on their peanut butter sandwiches, we can utilize the following formula:
CI = p ± z x (sqrt(p(1-p)/n))
The z-score corresponds to a 99% confidence level = 2.576.
CI = 0.2 ± 2.576* (sqrt(0.2(1-0.2)/815))
CI = 0.2 ± 0.043
CI upper limit = 0.2 + 0.043
CI upper limit = 0.243
CI lower limit = 0.2 - 0.043
CI lower limit =0.157
Therefore, we can conclude that the 99% confidence interval for the proportion of adults that prefer honey is 0.157 and 0.243. The upper limit of the interval is 0.243.
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What is the area of the parallelogram?
four hundred forty-four and three-eighths ft2
four hundred twenty-one and seven-eighths ft2
four hundred twelve and one-half ft2
four hundred five and one-half ft2
The area of the parallelogram is given as follows:
421 and 7/8 ft².
How to obtain the area of a parallelogram?The area of a parallelogram is given by the multiplication of the base of the parallelogram by the height of the parallelogram, that is:
A = bh.
The parameters for this problem are given as follows:
b = 22 and 1/2 ft = 45/2 ft.h = 18 and 3/4 ft = 75/4 ft.Hence the area is given as follows:
A = 45/2 x 75/4
A = 3375/8 ft².
A = 421 and 7/8 ft².
(3375 divided by 8 has a quotient of 7 and a remainder of 8, which is the reason for the mixed number notation).
Hence the second option is the correct option.
Missing InformationThe parallelogram is given by the image presented at the end of the answer.
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What would be the angle between the two perpendicular lines.
Answer:
90 degrees
90 degreesPerpendicular lines are lines that intersect at a right (90 degrees) angle.
what is 40 percent of 90 percent
Answer:0.36
or 36
Step-by-step explan: used calculator
What number makes the number sentence true?
9x5x2 = 9x
Answer:
x=0, 1/10
Step-by-step explanation: hope I helped
I was confused on your question, but what I did was solved for x.
point T lies on segment AK. If AT is 47 meters long and TK is 58 meters long, how long is AK?
Answer:
AK is 105 meters long
Step-by-step explanation:
If a point lies on a segment, then this point divides the segment into 2 parts
Example:
If a point R lies on the segment AB, then point R divides AB into two segments AR and RB, the length of AB equal the sum of lengths of AR and RB
Let us solve the question
∵ The point T lies on the segment AK
→ That means T divides AK into two parts AT and TK
∴ T divides AK into two segments AT and TK
→ That means the length of AK equal the sum of lengths of AT and TK
∴ AK = AT + TK
∵ AT = 47 meters
∵ TK = 58 meters
∴ AK = 47 + 58
∴ AK = 105 meters
∴ AK is 105 meters long
What is the positive solution to the equation y=6x^2-54?
What is the negative solution to y=½x^2+x-12?
Since we are lοοking fοr a negative sοlutiοn, the answer is x = -6.
What is Equatiοn ?In mathematics, an equatiοn is a statement that twο expressiοns are equal. An equatiοn usually cοntains οne οr mοre variables, which are placehοlders fοr unknοwn values. The variables can be represented by letters, such as x, y, z, and sο οn.
Tο find the pοsitive sοlutiοn tο the equatiοn \(y=6x^2-54\), we can set y tο 0 and sοlve fοr x as fοllοws:
\(0 = 6x^2 - 54\)
Adding 54 tο bοth sides:
\(54 = 6x^2\)
Dividing bοth sides by 6:
\(9 = x^2\)
Taking the square rοοt οf bοth sides:
x = ±3
Since we are lοοking fοr a pοsitive sοlutiοn, the answer is x = 3.
Tο find the negative sοlutiοn tο the equatiοn \(y =\frac{1}{2}x^2+x-12\), we can set y tο 0 and sοlve fοr x as fοllοws:
\(0 = \frac{1}{2}x^2 + x - 12\)
Multiplying bοth sides by 2 tο get rid οf the fractiοn:
\(0 = x^2 + 2x - 24\)
Factοring the left side:
0 = (x + 6)(x - 4)
Setting each factοr equal tο zerο and sοlving fοr x, we get:
x + 6 = 0 οr x - 4 = 0
x = -6 οr x = 4
Therefοre, Since we are lοοking fοr a negative sοlutiοn, the answer is x = -6.
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Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ((3C^(4)d^(4))/(2d^(9)))^(3) (3d^(4))/(2c^(2)) (27d^(2))/(8c^(2))
(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. The correct is option (C).
The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).
We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .
Let us simplify the given expression.
((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)
Now, we need to compare this expression with the expressions given in the answer choices.
Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.
Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.
Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.
Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).
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Leticia and Carmen were each given 120 math questions for the month. After 3 weeks,
Leticia completed 75% of the problems and Carmen completed 60% of the problems
How many more questions did Leticia complete thon Carmen?
1. What probability range is associated with z=±1.96?
90%
95%
99%
99.9%
-Select-
2. What is the z-value for a one-tail (upper) probability of 5%?
1.65
1.96
2.33
3.29
-Select-
The probability range associated with z=±1.96 is 95%. The z-value for a one-tail (upper) probability of 5% is 1.65.
The z-value represents the number of standard deviations away from the mean in a standard normal distribution. The probability range associated with a specific z-value can be determined by referring to a standard normal distribution table or using a statistical calculator.
For z=±1.96, the probability range is 95%. This means that 95% of the data falls within ±1.96 standard deviations from the mean in a standard normal distribution. It is commonly used to represent a 95% confidence interval.
For the z-value corresponding to a one-tail (upper) probability of 5%, we need to find the z-value that has an area of 5% to the right of it in the standard normal distribution. The z-value for a one-tail probability of 5% is 1.65. This means that 5% of the data falls to the right of 1.65 standard deviations from the mean.
These values are commonly used in statistical analysis and hypothesis testing to determine confidence intervals and assess the probability of certain events occurring.
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please help finals study guide
There are some coloured pins in a bag.
The pins can be green, yellow, purple or grey.
A pin is going to be taken at random from the bag.
The table shows the probabilities of picking a purple or grey pin.
Colour Green Yellow Purple Grey
Probability
0.35 0.25
The probability of picking a green pin is three times the probability of picking a
yellow one.
a) Complete the table. (2)
There are 14 purple pins in the bag.
b) Work out how many green pins are in the bag.
Answer:
Color : ___Green __yellow ___purple __ Grey
Prob : ____0.30 ___0.10 ______ 0.35 ___ 0.25
4 pins
Step-by-step explanation:
Color : ___Green __yellow ___purple __ Grey
Prob : ___. _______________ 0.35 ___ 0.25
P(green) = 3 * P(yellow)
ΣP = 1
Let
P(yellow) = x
P(green) = 3x
Hence,
x + 3x + 0.35 + 0.25 = 1
4x + 0.60 = 1
4x = 1 - 0.60
4x = 0.40
x = 0.4 / 4
x = 0.1
Hence,
P(yellow) = 0.1
P(green) = 0.1 * 3 = 0.3
Color : ___Green __yellow ___purple __ Grey
Prob : ____0.30 ___0.10 ______ 0.35 ___ 0.25
B)
If there are 14 pins in bag :
Number of green pins :
X * p(x)
14 * 0.3
= 4.2
= 4 pins
Answer:
green = 0.3 yellow = 0.1
Step-by-step explanation:
Choose the inequality that represents the following graph.
What is the MEAN of the data - (12, 8, 6, 12, 16, 12) *
helppp
Answer: the mean is 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Add them all together then divide by the nuber of variables
WILL MARK BRAINLIEST PLEASE HELP ME!!:(
You (or your parents) are debating about whether to buy a new car for $19,072.00 or a used car for $15,635.00. Sales tax is 4.5%. You (or your parents) plan to make a down payment of $1,200.00 and your credit rating is fair. What is the difference in interest accrued by the end of the first month?
Credit New Car APR (%) Used Car APR (%)
Excellent 5.4 5.65
Good 5.95 6.35
Average 6.30 6.90
Fair 7.55 7.60
Poor 9.80 10.0
I need help with this
Answer:
- 55
Step-by-step explanation:
I read (-99/3^2)*5
(-99/9)*5
(-11)*5 = - 55
the boxplot shows the fuel economy ratings for 67 subcompact cars with the same model year. some summary statistics are also provided. the extreme outlier is an electric car whose electricity usage is equivalent to 112 miles per gallon. if that electric car is removed from the data set, how will the standard deviation be affected? the iqr?
The IQR measures the spread of the middle 50% of the data.
Without knowing the actual values of the fuel economy ratings or the summary statistics, we cannot provide an exact answer. However, we can make some general observations about the effects of removing an extreme outlier on the standard deviation and the interquartile range (IQR).
First, the standard deviation measures the spread of the data around the mean. Removing an extreme outlier that is far from the mean could potentially decrease the standard deviation, as the remaining values may be more tightly clustered around the mean. However, the effect on the standard deviation will depend on the exact values of the data points and how much they vary from the mean.
Second, the IQR measures the spread of the middle 50% of the data. Removing an extreme outlier that is far from the bulk of the data may not have a significant effect on the IQR, as the remaining.
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Which value of x satisfies the equation
5/6 (3/8 - x)
= 16
Answer:
\(x = - 18.825\)
Step-by-step explanation:
\( \frac{5}{6}( \frac{3}{8} - x)
= 16 \\ \frac{(5)(3)}{(6)(8)} - \frac{5x}{6} = 16 \\ 15 - 40x = 768\\ 40x = 15 - 768\\ x = - 18.825\)
The value of x for the equation to be equal is- 40/753
Solution to linear equationGiven the linear equation expressed as:
5/6 (3/8 - x) = 16
Open the parenthesis
5/16 - 5/6x = 16
Collect the like terms
-5/6x = 16 - 5/16
-5/6x = 251/16
Cross multiply
1506x = -80
x = -80/1506
x = -40/753
Hence the value of x for the equation to be equal is- 40/753
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A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is16: 9.
What is the length of the diagonal of the screen, to the nearest whole inch?
Enter your answer in the box
Answer
23
Step-by-step explanation
16/9=width/height
20 is the width of the computer monitor so you would put width as 20
20/x then you would cross multiply to find the height which is x.
20 x 9=180
Then you would divide 180 by 16.
180/16=11.25
So now you have the width and the height 20/11.25=width/height
Then you do the pythagorean theorem a^2+b^2=c^2=20^2+11.25^2=526.5.6^2.Then you would round you answer to get 526.6 Then you would find the square root of 526.6 which is 22.9. Then you would round the answer to get 23.
I have 2/3 L (litre) of liquid detergent. I ued 3/4 of thi to wah my heet on the weekend. How much liquid detergent do I have left?
Liquid detergent do I have left is 8/9.
What is detergent ?
When washing items like clothing or dishes, detergent is a chemical compound that is often in the form of a powder or liquid. Alternatives include washing liquid, soap powder, and cleaner. More detergent synonyms. More detergent synonyms.
I have 2/3 L (litre) of liquid detergent. I ued 3/4 of thi to wah my heet on the weekend.
\(\frac{\frac{2}{3}}{\frac{3}{4}}$$\)
Apply the fraction rule: \($\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a \cdot d}{b \cdot c}$\)
\(=\frac{2 \cdot 4}{3 \cdot 3}$$\)
Multiply the numbers: 2-4=8
\(=\frac{8}{3 \cdot 3}$$\)
Multiply the numbers: 3-3=9
\(=\frac{8}{9}$$\)
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