The range of f(x) = 3x + 9 is: {y|All real numbers}
How to determine the range?The equation of the function is given as:
f(x) = 3x + 9
The above function is a linear function, and the range of a linear function is the set of all real numbers
Hence, the range of f(x) = 3x + 9 is: {y|All real numbers}
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Which values are equivalent to the fraction below? Check all that apply. 2^5/2^9
Answer:
Step-by-step explanation:
1/16, 32/512,
Two angles are supplementary. The first angle is 8x degrees. The second angle is(4x+12). Determine the measure of each angle.
Answer:
The measure of the angles are 112 degrees and 68 degrees.
Step-by-step explanation:
Two angles are supplementary if they add up to 180 degrees.
The first angle is 8x degrees.
The second angle is (4x+12) degrees.
Therefore:
8x+4x+12=180 degrees
12x+12=180
12x=180-12
12x=168
Divide both sides by 12
x=14 degrees
Substituting x in the given angles:
8x =8*14=112 degrees
4x+12=4(14)+12=68 degrees
Therefore, the measure of the angles are 112 degrees and 68 degrees.
Five pennies, 3 dimes, and 4 quarters are placed in a bag. What is the probability of selecting a quarter and then another quarter, given the first coin is not returned to the bag after it is drawn?
2/11
1/11
1/22
5/33
Answer:
2/11
Step-by-step explanation:
An item has a listed price of $35.If the sale tax rate is 5%, how much is the sales tax (in dollars)
The tax is 5% of 35 so we have to find out what 5% of 35 is. To do so, divide 5 by 100, then multiply the quotient by 35.
5% ⇒ 0.05
35 × 0.05 = 1.75
Answer:The sales tax is $1.75.
I hope this helps :)
What do we use to determine the order of operations
Answer:
PEMDAS determines order of operations
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
so I use pemdas which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-step explanation:
You might remember this as "Please excuse my dear Aunt Sally.) This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right).
In how many map squares did we spot less than 20 plant species
The number of spice plants spotted in the map are 3.
What is histogram?A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
We need to spot less than 20 plant species.
From the given histogram,
Between the interval 0-9 there is 1 spice plant.
Between the interval 10-19 there is 2 spice plant.
So, total = 1+2=3
Therefore, the number of spice plants spotted in the map are 3.
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HELP I WILL GIVE U BRAINLIEST!!!!!!!!
Answer:
k = 6
Step-by-step explanation:
The parabola moved to the left by 6 units. It is important to know that when a problem says (x + 6) it means move to the left and when a problem says (x - 6) it means move to the right.
Extra information:
When a problem is like: f(x) + 7, it means to go UP 7, and f(x) - 7 would be to go down 7. Notice the number is outside the parentheses.
Answer:
pretty sure its 6, if you need an explanation... sorry :(
Step-by-step explanation:
HELPPP PLEASEEEEE!!!!!
Answer:
like 60 or something
Step-by-step explanation:
+10+10+10+10+10 cuz iam bored still answer it
Answer: 50 or 10/10
Step-by-step explanation:
1+1+1+1+1= 5 then just make it like this 10+10=20+10=30+10=40+10=50
+10+10+10+10+10 cuz iam bored still answer it
Which is the correct first step in finding the height of a cylinder with a volume of 178 cubic inches and a radius of 8 inches?
Va sern
8= (178)
WV = arh
V = x+(8)2 + 178
V= seh
V= 548)? (178)
V = xin
178 = $(8)
The correct first step is to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex] (Last option)
The correct first step in finding the height of a cylinder with a given volume and radius is to use the formula for the volume of a cylinder:[tex]\(V = \pi r^2 h\)[/tex], where V is the volume, r is the radius, and h is the height.
To solve for h, we must rearrange the equation to isolate h.
Therefore, the correct first step would be to divide both sides of the equation by [tex]\(\pi r^2\)[/tex] to solve for h:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
In the case given where the volume (V) is 178 cubic inches and the radius (r) is 8 inches, it would look like:
[tex]\[ h = \frac{178}{\pi \times 8^2} \][/tex]
After performing the calculations, this will give us the height (h) of the cylinder.
So the correct first step would be to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex]
William only has 1 3/4 cups of flour, so he can only make 2/3 of a batch of biscuits. How much flour is needed for a full batch of biscuits?
Answer:
1 1/2 cups
Step-by-step explanation:
Subtract 1 3/4 and 2/3 and you get 1 1/2
Answer:
1 1/2 cups for a full batch
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in interest?
Answer:
Because this is simple interest, the money will earn the same amount of money each year: 4% of $2500.
0.04×2500=100
4% of 2500 is 100, so...
$200÷$100 Per Year= 2Years
Answer:
It will take 2 months let me know if I'm wrong
Step-by-step explanation:
A computer monitor has a rectangular viewing area of 135 square inches. The viewing area is 9 inches tall. What is the
width of the viewing area?
Answer: 15 inches wide
Step-by-step explanation:
to find the area of a rectangle you would multiply the height by the width so this would be the opposite because we have the area which is 135 in.² so we would divide 135 by 9 which would give us 15.
Explain why you cannot use y = mx + b to find the equation of a vertical line.
Answer:
because the slope would be 1/0 which is undefined
Step-by-step explanation:
Answer:
Because a vertical line has an undefined slope. If you were to use rise over run you get any number over 0 (ex. 7/0). You cannot divide any number by zero which means you will get an undefined answer.
Find the indicated side of the triangle a= I'll mark you brainliest for the correct answer
Answer:
[tex] a = 17 \sqrt{2}[/tex]
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{17}{a} \\ \frac{1}{ \sqrt{2} } = \frac{17}{a} \\ a = 17 \sqrt{2} \\ [/tex]
To find the length of side a in a right triangle, we can use the Pythagorean theorem.
Explanation:To find the length of the side a, we can use the Pythagorean theorem. In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (h) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, we have a² + b² = h². Rearranging the equation, we can solve for side a: a = sqrt(h² - b²). Plugging in the known values, we can calculate the value of side a.
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What is the median of the data
Answer:
6
Step-by-step explanation:
Line up the numbers from smallest to largest:
2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10
Take away one number from each side until you get to the middle.
Since there is an odd number of numbers there is only one number left and that number is 6. Stay safe and have a wonderful day! Peace! ✌
Please Help...
A research group is trying to determine the correlation between the number of hours spent
studying and the number of hours sleeping. Use the data shown on the graph to compute
the correlation coefficient.
A) r = 1 C) r = − 1
B) r = 0.5 D) r = −0.5
Answer:
C) r = − 1Step-by-step explanation:
In the graph, you can observe that all five points are perfectly lined up on a straight line, which is decreasing, because each points is lower than the previous one.
This situation represents a coefficient of correlation of -1, which means there's a strong negative correlation between variable.
Once again, graphically, this strong negative correlation can be deduct from the behaviour of the data, which is clearly decreasing with a straight line behaviour. In other words, the line that best fits is almost unique.
Therefore, the right answer is C.
Answer: C
Step-by-step explanation: did usa test prep
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
Hey everyone hopefully your doing great just want to ask a quick question and hopefully you guys answer!!!
Answer:
m<XDQ = 41*
m<UXD = 138*
Step-by-step explanation:
for m<XDQ... 90-49= 41
for m<UXD... 180-41=139
if rectangle a and rectangle b have a ratio of similarity of 5:4, what is the area of rectangle B if the area of the rectangle A is 24 square units
Answer:
the answer is 30 this is because if you rectangle b is 24 then rectangle a is 30 like if you simplify 30:25 if you divide it by 6 it will give 5:4
Step-by-step explanation:
Final answer:
The area of rectangle B is approximately 15.36 square units.
Explanation:
To find the area of rectangle B, we can use the ratio of similarity.
The ratio of similarity between rectangle A and rectangle B is 5:4.
Since the area of rectangle A is 24 square units, we can set up the equation:
(area of B) / (area of A) = (side length of B)² / (side length of A)².
Substituting the values, we get
(area of B) / 24 = (4/5)².
Solving for the area of B, we have
(area of B) = 24 * (4/5)²
= 24 * 16/25
= 384/25
= 15.36 square units.
Order the numbers from least to greatest.
7.4 x 104
7.6 x 10-4
765,000
Answer:
dhccidifivivicickcvkvvkvk
A total of 753 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more student tickets sold than adult tickets.
How many adult tickets were sold?
Answer:
350
Step-by-step explanation:
Answer:
403 adult tickets
Step-by-step explanation:
x + x + 53=753
-53=-53
2x=700
x=350
350+53= 403
Solving systems of equations algebraically.
6x + 8y = -22
y = -5
And SHOW YOUR WORK!!!!
Answer:
x = 3
y = -5
Step-by-step explanation:
Since you have the value of y already, just plug it into the equation, like so:
6x + 8y = -22
6x + 8(-5) = -22
6x - 40 = -22
Add 40 to both sides:
6x - 40 = -22
+ 40 + 40
___________
6x = 18
Finally, divide both sides by 6:
6x = 18
x = 3
So now you have, x = 3 and y = -5.
Lana is 12 years old. Her sister is y years
old. Lana is twice as old as her sister.
How old is Lana's sister?
Answer:
Lana's sister is six.
Step-by-step explanation:
12/2= 6
Lana is two times her sisters age, so you have to divide Lana's age by two.
Answer:
6
Explanation:
because Lana 12, and her sister is 1/2 of that. Therefore, the equation to find the answer is 12/2, or 6.
8 - 10x = 7 + 5x
4- 10x = 3 + 5x
Answer:
1/15
Step-by-step explanation:
15x = 1
x = 1/15
Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of
5%. What is Brian's z-score?
Answer:
Brian's z-score is 2.4
Step-by-step explanation:
The equation for z score is presented as follows;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
x = Score = 80%
μ = Mean = 68%
σ = Standard deviation = 5%
Plugging in the values gives;
[tex]z = \frac{80- 68}{5} =2.4[/tex]
Therefore, Brian's z-score on the Chemistry Exam, where the mean is 68%, the standard deviation is 5% and Brian's score is 80% = 2.4.
Final answer:
Brian's z-score is 2.4, calculated using the formula Z = (X - \) / \ by substituting X with Brian's score, \ with the mean score, and \ with the standard deviation. A z-score of 2.4 means Brian scored well above average.
Explanation:
Brian scored an 80% on a Chemistry Exam, where the average was 68%, with a standard deviation of 5%. To find Brian's z-score, use the formula:
Z = (X - \) / \
Where X is Brian's score, \ is the mean score, and \ is the standard deviation. Plug in the values:
Z = (80 - 68) / 5 = 12 / 5
Brian's z-score is 2.4, which means his score is 2.4 standard deviations above the mean. A z-score tells how many standard deviations an element is from the mean. If it's positive, the score is above average; if negative, below average.
Find the mean, median, mode, and range of the
data set.
{7, 3, 5, 4,5}
Look at the attached picture ⤴
Hope it will help u...
Answer:
mean=4.8 median=5 mode=5
Step-by-step explanation:
Mean-
Add all the numbers together
7+3+5+4+5=24
Then divide by the number of numbers
24/5=4.8
Mean=4.8
-
Median
List the numbers from least to greatest
3,4,5,5,7
The middle number is you median
3,4,5,5,7
Median=5
-
Mode
Which numbers appear the most
3,4,5,5,7
Mode=5
The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a
mean of 2 ounces and a standard deviation of 0.3 ounce. A random sample of 16 cupcakes
is selected every day and measured. What is the probability the mean weight will exceed
2.1 ounces? (2 points)
O 0.9088
0.3694
0.0912
0.6306
0.075
The probability of mean weight will exceed 2.1 ounces is 0.0912.
To solve this problem, we need to calculate the probability that the mean weight of the icing on a sample of 16 cupcakes exceeds 2.1 ounces, given that the distribution of the icing weights is normal with a mean of 2 ounces and a standard deviation of 0.3 ounce.
First, we need to find the standard error of the mean (SEM) for the sample of 16 cupcakes. The SEM is calculated by dividing the population standard deviation by the square root of the sample size:
[tex]\[ SEM = \frac{\sigma}{\sqrt{n}} = \frac{0.3}{\sqrt{16}} = \frac{0.3}{4} = 0.075 \][/tex]
Now, we need to find the z-score for the value of 2.1 ounces. The z-score is calculated by subtracting the population mean from the value in question and then dividing by the SEM:
[tex]\[ z = \frac{\bar{x} - \mu}{SEM} = \frac{2.1 - 2}{0.075} = \frac{0.1}{0.075} = \frac{4}{3} \approx 1.3333 \][/tex]
Next, we look up this z-score in the standard normal distribution table or use a calculator to find the probability of a z-score being less than 1.3333. This gives us the probability that the mean weight of the icing is less than or equal to 2.1 ounces.
[tex]\[ P(Z < 1.3333) \approx 0.9088 \][/tex]
However, we want the probability that the mean weight exceeds 2.1 ounces, so we need to subtract this value from 1 (the total probability):
[tex]\[ P(\bar{x} > 2.1) = 1 - P(Z < 1.3333) = 1 - 0.9088 = 0.0912 \][/tex]
Therefore, the probability that the mean weight of the icing on a sample of 16 cupcakes will exceed 2.1 ounces is 0.0912.
Which statement is true about the joint frequencies in
this table?
Twenty-three 9th graders and fifteen 11th graders
prefer math.
Fourteen 11th graders prefer math and eight 10th
graders prefer science.
Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
The statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
For the 12th graders, we have a total of 67 pupils with 32 preferring
English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils
Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils
Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils
Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils
Hence, the statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.
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A survey was conducted with high school students in
each grade to see how many prefer math or science.
Some of the data are shown below.
Which statement is true about the joint frequencies in
this table?
40
11 | 12 |
Total
O Twenty-three 9th graders and fifteen 11th graders
prefer math.
O Fourteen 11th graders prefer math and eight 10th
graders prefer science.
O Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
Math
18
90
Science 40
15
95
Total
63
26
29
67
185
find the exact length of the third side
Answer: 3 times the square root of 5! (Or the square root of 45 if you don’t want to simplify)
Step-by-step explanation:
First, you would need to use the Pythagorean Theorum, a^2 + b^2 = c^2, since it is a right triangle.
So in this case,
6^2 + 3^2 = c^2
This simplfys to:
36 + 9 = c^2
45 = c^2
Now you have to take out the square in the c. What you do to one side, you have to do to the other, so you have to put 45 in a square root. This simplies to 3 times the square root of 5.