So, the red graph moved 5 units up
So, a vertical transformation affects the whole function, not just the x.
Then, the correct answer is g(x)= x^2 + 5
(A) 2 2/3 =2 + 2 + 3 (B) 2 2/3 = 1 + 1 + 2 + 3 (C) 2 2/3 = 1 + 1 + 1/3 + 1/3 (D) 2 2/3= 1 + 1 + 1/3 Which equation is true?
Answer:
C
Step-by-step explanation:
This is because C is the only answer that equals 2 2/3
Option C (2 2/3 = 1 + 1 +1/3 + 1/3) is the correct equation.
A) 2 + 2 + 3 = 7
B) 1 + 1 + 2 + 3 = 7
C) 1 + 1 + 1/3 + 1/3 = 2 2/3
D) 1 + 1 + 1/3 = 2 1/3
I attached a picture to make it simpler!
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Solve: 8 + x/3 = 1/6 (x-6) -1
A. x = 60
B. x = -60
C. x = -36
D. There are infinitely many solutions
Answer: B -60
Step-by-step explanation: When you plug in -60 into the equation it all equals out into -12 = -12, which is true. All of the other solutions don't work.
Answer:
B. x = -60
Step-by-step explanation:
8 + x/3 = 1/6 (x-6) - 1
Multiply both sides by 6.
48 + 2x = x - 6 - 6
x = -12 - 48
x = -60
How do I solve this?
Answer:
find all numbers, stick together o make an uqaion and solve . simplifi if needed
Step-by-step explanation:
6 divided by 1/4 ? Answer it please
Answer:
the correct answer 24 i looked it up
In order to construct the interior point of ∠CAB for the angle bisector, where should you place the compass point?
A student is ordering a flower arrangement. She can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30.
If roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations?
The inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.
What is meant by inequality?Different types of inequalities can be represented by a number of different notations. A relationship between two expressions or values that is not equal in mathematics is referred to as an inequality. To correct an inequality, take the following actions: Prior to subtracting any fractions, multiply each phrase by the sum of the least common denominators of all the fractions. Step 2: To make the inequality simpler, combine related terms on both sides. Step 3: To calculate the value of the unknown, subtract or add the amounts from the numbers on either side.
The cost of each rose flower is $3
The cost of each carnation is $2
The cost for x roses will be 3x$
The cost for y carnations will be 2y$
The overall cost must be less than or equal to $30
Therefore, 3x+2y≤30.
Hence, the inequality represents all possible combinations of x roses and y carnations is 3x+2y≤30.
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Suppose you are throwing a lunch event for 100 people.
You decide to offer vegan options. You are not
sure how many vegans are attending, but a study shows that vegans occur at a rate of 5%. Assume the requirements for a binomial distribution are satisfied. What is the probability that you will have less than 10 vegans attending your event?
The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.
What are the requirements of a binomial distribution?The requirements of a binomial distribution include:
Independent observationsFixed number of observationsEqual probability of success for each observationEach observation falls into the success or failure categories.What is probability?Probability is the likelihood of an event occurring given the possibility of many outcomes.
Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.
Data and Calculations:Expected guests = 100
Expected vegans = 5%
Less than 10 vegans = 9
The chance that 9 vegans will attend the event = 9/100 = 9%.
Thus, the probability of having less than 10 vegans attending the event is 9%.
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8 1/2 pounds of hamburger meat are to be divided into 17 equal packages. How many pounds of meat will each package contain
Answer:
Each package will contain 1/2 pound of meat.
Step-by-step explanation:
To divide 8 1/2 pounds of hamburger meat into 17 equal packages using fractions, you need to divide the total weight by the number of packages:
First, convert the mixed number 8 1/2 to an improper fraction:
(8 * 2) + 1 = 16 + 1 = 17
So, 8 1/2 = 17/2
Now, divide 17/2 pounds by 17 packages. Since division is the same as multiplying by the reciprocal, we'll multiply by the reciprocal of 17, which is 1/17:
(17/2) * (1/17)
Multiply the numerators together (17 * 1 = 17) and the denominators together (2 * 17 = 34):
17/34
Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (17):
17 ÷ 17 = 1
34 ÷ 17 = 2
So, the simplified fraction is 1/2.
What is the product of (x² + x + 2) and (x² − 2x + 3)
Answer:
\(x^4-x^3+3x^2-x+6\)
Step-by-step explanation:
Multiply each term in the first equation by all the terms in the second and add them together.
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
Add: (-15xz-4xy)+(20xy-9yz-16xz)
Answer:
=16xy−31xz−9yz
Step-by-step explanation:
The required simplified solution of the given expression is 16xy - 9yz -31xz.
Given that,
To determine the simplified solution of the given expression,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= (-15xz-4xy)+(20xy-9yz-16xz)
Adding the coefficients of the alike terms.
= 16xy - 9yz -31xz.
Thus, the required simplified solution of the given expression is 16xy - 9yz -31xz.
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11. The formula for the volume, V, of a sphere with radius r
is V = () ³. If the radius of a baseball is 1
inches,
3
what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14
E. 15
The volume of the baseball, to the nearest cubic inch, is A. 6 inches³
Volume is a degree of occupied three-dimensional space. it is often quantified numerically as the usage of SI-derived devices or with the aid of various imperial units.
Whereas the fundamental method for the region of a rectangular form is period × width, the fundamental formulation for volume is duration × width × top. How you talk to the distinctive dimensions does no longer exchange the calculation: you may, as an example, use 'depth' instead of 'peak'.
Quantity is the measure of the capacity that an object holds. For instance, if a cup can keep 100 ml of water as much as the brim, its volume is said to be 100 ml. Quantity can also be defined as the quantity of space occupied by way of a three-dimensional object.
The volume of a sphere is calculated by the formula:
= 4/3 x π x radius ³
A baseball is a sphere and in this case, its radius is 1.13 inches.
The volume of the baseball is:
= 4/3 x 22/7 x 1.13³
= 4/3 x 22/7 x 1.442897
= 6.0464 inches³
To the nearest inch it is:
= 6 inches ³
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Write the numbers in order from least to greatest. *
1 point
Captionless Image
1/4; 0.4; 0.55; 3/5
0.4; 1/4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
3/5; 0.4; 1/4; 0.55
Answer:
1/4; 0.4; 0.55; 3/5
0.25, 0.40, 0.55, 0.60
Already in order.
0.4; 1/4; 0.55; 3/5
0.40, 0.25, 0.55, 0.60
1/4; 0.4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
0.25, 0.60, 0.40, 0.55
1/4; 0.4; 0.55; 3/5
3/5; 0.4; 1/4; 0.55
0.60, 0.40, 0.25, 0.55
1/4; 0.4; 0.55; 3/5
Under her cell phone plan, Grace pays a flat cost of $70 per month and $4 per
gigabyte. She wants to keep her bill at $74.40 per month. Write and solve an equation
which can be used to determine x, the number of gigabytes of data Grace can use
while staying within her budget
Answer:
1.1 GBStep-by-step explanation:
Let the number of gigabytes is x.
Required equation is:
4x + 70 = 74.404x = 74.40 - 704x = 4.40x = 4.40/4x = 1.1AtQ
\(\\ \tt\longmapsto 70+4x=74.40\)
\(\\ \tt\longmapsto 4x=4.40\)
\(\\ \tt\longmapsto x=1.10GB\)
1GB and 100mB2. The table includes results from polygraph experiments. In each case, it was known if the
subject lied or did not lie, so the table indicates when the polygraph test was correct. Find the
test statistic needed to test the claim that whether a subject lies or does not lie is independent of
the polygraph test indication.
Polygraph test indicated
that the subject lied.
Polygraph test indicated
that the subject did not lie.
025.571
Did the Subject Actually Lie?
No (did not lie) Yes (lied)
15
32
42
9
(1 poir
We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
How to explain the hypothesisThe test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.
In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:
The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.
Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
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For every 3 boys at a volleyball summer camp, there are 5 girls. If there are 136 boys and girls at the camp altogether, how many boys and girls are there?
Answer:
Let b = number of boys and g = number of girls.
g/b = 5/3, so g = (5/3)b
b + g = 136
b + (5/3)b = 136
(8/3)b = 136, so b = 136(3/8) = 51 boys, and g = 85 girls
There are 51 boys and 85 girls at the volleyball summer camp.
The ratio of boys to girls at the camp is 3 to 5. By applying this ratio to the total number of children at the camp (136), we find that there are 51 boys and 85 girls.
Explanation:The question tells us that for every 3 boys at a camp, there are 5 girls. This means that the ratio of boys to girls is 3:5. This ratio tells us that out of every 8 (3+5) children, 3 are boys and 5 are girls.
Now it's mentioned there are 136 children in total. We divide total children by sum of the ratio to find out the number of boys and girls. 136 divided by 8 equals 17. This means there are 17 sets of 'every 8 children'.
To find the number of boys, multiply 3 (number of boys in one set) by 17 (total sets) and we get 51 boys. Using the same process for the girls, we multiply 5 (number of girls in one set) by 17 (total sets), resulting in 85 girls. Thus, among the 136 children at the camp, there are 51 boys and 85 girls.
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Round off the decimal 55.345 to 2 decimal places.
Answer:
Step-by-step explanation:
55.345 is rounded off two places therefore, the hundreths place
the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35
Please I need help please!!!!
I need the answer ASAP…!!!!!!
If you know the answer please tell me
Answer:
x=−16/3 or x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x2+10x−8=24
Step 2: Subtract 24 from both sides.
3x2+10x−8−24=24−24
3x2+10x−32=0
Step 3: Factor left side of equation.
(3x+16)(x−2)=0
Step 4: Set factors equal to 0.
3x+16=0 or x−2=0
Find the slope of a line perpendicular to the line whose equation is x + 6y = -24.
Fully simplify your answer.
Answer:
\(m_{perpendicular}\) = 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + 6y = - 24 ( subtract x from both sides )
6y = - x - 24 ( divide through by 6 )
y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form
with slope m = - \(\frac{1}{6}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6
Differentiate.F(x) = (6x + 1)²F'(x) =1600
we have the function
\(f(x)=(6x+1)^2\)Find out the derivative
\(\begin{gathered} f^{\prime}(x)=2(6x+1)^{2-1}(6x+1)^{\prime} \\ f^{\prime}(x)=2(6x+1)(6) \\ f^{\prime}(x)=12(6x+1) \\ f^{\prime}(x)=72x+12 \end{gathered}\)The answer is
f'(x)=72x+12Which numbers round to 7.91 when rounded to the nearest hundredth
If the last digit in the fractional part of 7.910 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00
Answer: 7.914 7.905 7.909
Step-by-step explanation:
i hope this helps
if it did pls mark brainliest
7. What is the x-intercept for the equation -2x + 5y = -10?
a. (5,0)
b. (2,0)
c. (-2,0)
d. (-5,0)
2,0
Step-by-step explanation:
the answer is 2,0 I just calculated it
Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
What’s the missing angle
?
Answer:
x=20
3x= 3(20)=60
4x= 4(20)=80
Step-by-step explanation:
The angles CD is 90 degrees because the small square indicates
it. Angles AD are a straight angle, therefore all the other angles within A to D, must equal 180 degree. (straight line/angle=180 degrees).
so AB + 70+ 90= 180 degrees
AB= 180 -70-90
AB=20
x=20
3x= 3(20)=60
4x= 4(20)=80
Answer:
Step-by-step explanation:
x + 3x + 4x + 70° + 90° = 360° ( being complete turn )
8x + 160° = 360°
8x = 360° - 160°
8x = 200°
x = 25°
3x = 3 * 25°= 75°
4x = 4 * 25° = 100°
HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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which state ment correctly identifies the line of reflection
How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 5% interest compounded monthly.
I need to deposit $1558.41 to have $2000 in the account in 5 years.
What is compound interest?
The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.
∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ (∵ for monthly interest)
P = Principal
r = rate of interest per month
n = number of months
Given:
r = 5% per month
n = 5 years = 5*12 = 60 months
CI = P (1+5/(12 * 100))⁶⁰
2000 = P(1.0041)⁶⁰
2000 = P(1.2834)
P = 1558.41
Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.
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A family is planning their vacation to Disney World. They will drive from a small town outside New Orleans,
Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this
trip take?
The time taken for the trip will be 12.7 hours.
How to calculate the value?It should be noted that time taken is calculated as:
Time = Distance / Speed
Distance = 700 miles
Speed = 55 mph
Time = 700/55
Time = 12.7 hours.
Therefore, the time taken for the trip will be 12.7 hours.
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The photo is kinda blurry but please help me with it
The perimeter of rectangle M'N'O'P' is given as follows:
54 cm.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The ratio between the areas is given as follows:
126/14 = 9.
The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:
3.
Hence the perimeter of rectangle M'N'O'P' is given as follows:
3 x 18 = 54 cm.
Missing InformationThe complete problem is:
Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?
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What is the value of the expression below? (9.5 minus 3 times 1 and one-half) divided by 0.5
Answer: 0.5
9.5−3×
2
1×2+1
÷0.5
9.5−3×
2
2+1
÷0.5
9.5−3×
2
3
÷0.5
9.5−3×
2
3
×
0.5
1
9.5−
2×0.5
3×3×1
9.5−
2×0.5
9×1
9.5−
2×0.5
9
9.5−
1
9
9.5 - 9
0.5
Answer:
19.5
Step-by-step explanation:
9.5 minus 3 is 6.5
6.5 times 1.5 is 9.75
9.75 divided by .5 is 19.5
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