Answer:
[tex]T_6 = 37.96875[/tex]
Step-by-step explanation:
Given
[tex]a =5[/tex]
[tex]r = \frac{3}{2}[/tex]
Required
Determine the 6th term
This is calculated as:
[tex]T_n = ar^{n-1[/tex]
Where
[tex]n = 6[/tex]
Substitute [tex]n = 6[/tex], [tex]a =5[/tex] and [tex]r = \frac{3}{2}[/tex]
[tex]T_6 = 5 * (\frac{3}{2})^{6-1[/tex]
[tex]T_6 = 5 * (\frac{3}{2})^{5[/tex]
[tex]T_6 = 5 * (\frac{243}{32})[/tex]
[tex]T_6 = 5 * \frac{243}{32}[/tex]
[tex]T_6 = \frac{5 *243}{32}[/tex]
[tex]T_6 = \frac{1215}{32}[/tex]
[tex]T_6 = 37.96875[/tex]
* Will give brainliest*
Find the third value, given two values for each linear function. Show work.
h(0)= -1
h(5)=1
h(-5) = ?
Answer:
The answer is -3
Step-by-step explanation:
If we use the point slope intercept form we would get the slope of 2/5
which we can apply it to the -5 and we would get the answer.
h(0)= -1 is saying the x is the 0 while the y is the -1.
Same goes for h(5)=1.
so then you would do m=[1-(-1)]/(5-0)
which gives you the slope.
The you put the -5 which is the x value and write an equation for it:
y=2/5(-5)-1
Which gives you the answer of -3
GOOD LUCK
Answer:
-3
Step-by-step explanation:
!:3$$3$3
Write each phrase as an algebraic expression.
4. Jenny is 5 times as a old
5. Brandon spent 10 dollars more
Given AB =6 and BD =8, find the value of x
Answer: x=10
Step-by-step explanation:
Find AD by making a 90 degree triangle with segments AB and BD
a=6 b= 8 c= c
[tex]a^{2}+b^{2} =c^{2}[/tex]
[tex]6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]
AD is = to 10- AD is also the radius of the circle. since x is also the radius of the circle, it is also 10
Assume that the amount of beverage in a randomly selected 16-ounce beverage can has a normal distribution. Compute a 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans and fill in the blanks appropriately. A 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (
Answer:
The question is incomplete, but the step-by-step procedures are given to solve the question.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{\sigma}{\sqrt{n}}[/tex]
The lower end of the interval is the sample mean subtracted by M.
The upper end of the interval is the sample mean added to M.
The 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (lower end, upper end).
I need an answer to this problem
What percent of 29 is 99?
Answer:
29%
Step-by-step explanation:
29\99=0.29292929
x100=29.29292929
round to the nearest whole number
29%
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME. IF I PASS THIS I GET TO GO TO DISNEY WORLD.
Answer:
11.5
Step-by-step explanation:
What is the value of AB?
Answer:
345
Step-by-step explanation:
When Jake took his dog, Rocky, to the vet in December, Rocky weighed 29 pounds 9 ounces. When he took Rocky back to the vet in March, Rocky weighed 34 pounds 4 ounces. How much weight did Rocky gain
Answer:
he gained 3 pounds :)
Step-by-step explanation:
also im not really sure about the ounces!!!
Need answer to this urgently
Answer:
x=3
Step-by-step explanation:
25+134+4x+9+180
4x+168+180
4x+12
x=3
Circle 1 has a center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius of 9 cm. What transformations can be applied to Circle 1 to prove that the circles are similar? Enter your answers in the blanks. Enter the scale factor as a fraction in the simplest form.
The circles are similar because the transformation rule (___ , ___ ) can be applied to Circle 1 and then dilate it using a scale factor of ___/___
Answer:
The circles are similar because the transformation rule (+ 5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of 3/4.
Step-by-step explanation:
All the circles are similar.
That is because you can transform one circle onto another by two similarity operations: translation and dilation (scale factor).
For these two circles you have to translate the center of circle 1 to the center of circle 2, which will make that the two circles are concentric (have the same center).
The two centers are (-6,2) and (-1,- 4). To move the center (-6, 2) to (-1,4) you have to shift it 5 units to the right and 6 units down:
- 6 + 5 = - 1
2 - 6 = - 4.
After this translation, you dilate the circle with smaller radius using a scale factor equal to the ratio of the bigger radius to the smaller radius: 8/6 = 4/3.
Enter the scale factor as a fraction in simplest form. 3/4
The circles are similar because the transformation rule (+5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of 3/4.
Answer:
The circles are similar because the transformation rule ( [tex]x + 6, y - 8[/tex]) can be applied to Circle 1 and then dilate it using a scale factor of [tex]\frac{3}{2}[/tex]Step-by-step explanation:
just took the test down. proof down below
Which Statements Describe One Of The Transformations Performed On F(x)=x^2 to create g(x)=3(x+5)^2-2? Choose all that apply
Answer:
can you post a picture of the options?
Answer:
A vertical stretch with a scale factor of 3
&
A translation of 5 units to the left
Step-by-step explanation:
What is the greatest common factor of 15, 75, and 9
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Factors of each number }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1. 3. \& 9}\\\large\textsf{15: 1, 3, 5, \& 15}\\\large\textsf{75: 1, 3, 5, 15, 25, \75}[/tex]
[tex]\huge\text{Like terms between the factors}\\\\\bullet \large\textsf{1 \& 3}[/tex]
[tex]\huge\text{Reason for the factors of the numbers }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1}\times\large\textsf{9 = \bf{9} }\& \large\textsf{ 3}\times\large\textsf{3 = \bf 9}\\\\\large\textsf{15: 1}\times\large\textsf{15 = \bf 15 }\&\large\textsf{ 3}\times\large\textsf{5 = \bf 15}\\\\\large\textsf{75: 1}\times\large\textsf{ 75 = \bf 75}, \large\textsf{ 3}\times\large\textsf{25 = \bf 75}, \& \large\textsf{ 5}\times\large\textsf{ 15 = \bf 75}[/tex]
[tex]\huge\text{BIGGEST NUMBER OUT OF THE LIKE}\\\huge\text{TERMS }\huge\boxed{\downarrow}\\\\\large\textsf{\bf 3}[/tex]
[tex]\huge\text{ANSWER }\huge\boxed{\downarrow}\\\\\large\boxed{\textsf{The GCF (Greatest Common Factor) is: \huge\boxed{\textsf3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\text{Amphitrite1040:)}[/tex]j) You spend $35. Tip is 15%. How much did you pay in total?
Answer:
You paid $40.25 in total.
Step-by-step explanation:
In this question:
Spending of 35%
Tip of 15% means that 15% of 35 will be added to your total spending. So
[tex]T = 35 + 0.15*35 = 35 + 5.25 = 40.25[/tex]
You paid $40.25 in total.
You want Brainliest help me plsss
Answer:
the slope in the equation is 5, while the slope on the graph is 2
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
The unit price of the yogurt is given by the equation A = $ 0.45
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the cost of 5 ounces of frozen yogurt be = $ 2.25
So , the cost of 1 ounce of frozen yogurt A = cost of 5 ounces of frozen yogurt / 5
Substituting the values in the equation , we get
The cost of 1 ounce of frozen yogurt A = $ 2.25 / 5
The cost of 1 ounce of frozen yogurt A = $ 0.45
Hence , the unit rate cost is $ 0.45
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Dana's pool table is 4 feet wide and 8 feet long. Dana wants to replace the felt on the pool
table. The felt costs $5.00 per square foot. How much would it cost in total to replace the felt
on the pool table?
A set of 4 chairs cost $56, or you can buy 1 chair for $16. How much less is the cost of 1 chair if you buy the set?
help please asap please
PLEASE HELP ASAP Find the true measurements (2 answers)
Answer:
(C) Because of the fact that apply for a new number
What is the determinant of 
Answer:
15
Step-by-step explanation:
Please see attached photo for explanation.
In the attached photo,
|H| => Determinant of H
From the calculations made as illustrated in the attached photo, the determinant of H is 15
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
Write an equation to determine the original price per pound.
Find the original price per pound.
Answer:
look down
Step-by-step explanation:
sam bought 3 pounds so 0.75 multiplied with 3 is 2.25 then we subtract 5.88 by 2.25 to get the original price for 3 pounds which is 3.63. Last step we divide 3.63 by 3 to get the original price for 1 pound and the answer should be 1.21 per pound.
The final equation should be $5.88- $2.25÷3= $1.21
A math teacher's homework grading policy states that a homework assignment turned in late will result in the
grade being reduced by a certain percentage each day that the assignment is late. The teacher creates the
table below to illustrate this policy.
Number of Days Late (1)
Homework Grade, g(t)
0
80
60
1
45
2
Based on the table, write an exponential function in the form y= abt that represents the situation.
y =
An exponential function in the form y= abt that represents the situation.
y = 60.75.
What is correlation coefficient and how to interpret it?Correlation coefficient is a measure of how similar two datasets are acting.
The range of correlation coefficient is [-1, 1]
When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated. One data increases, other data starts decreases in the opposite direction.
When the correlation coefficient comes out below 0, values are negatively correlated.
If the correlation coefficient comes out as 0, that means both the data sets are uncorrelated with respect to how we compare them.
When the correlation coefficient comes out > 0, that means both datasets' values are positively correlated.
If correlation coefficient comes out as 1, then the values grow exact similarly, in the same direction.
Given;
y = -0.4x + 98.3
When you increase your homework score by 1 point, you lose 0.4 points on your test.
-0.4x + 98.3 = 74
→ -0.4x = -24.3
→ x = 60.75 ≈ 61
Therefore, the correlation will be y=61.
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Ms. Lee wants to know what kinds of things her students do prepare for her tests. Ms. Lee placed the names of her students into a box. To determine who she would ask about their study habits she asked a student to draw names from the box.
a. What is the sample in this situation?
b. What is the population?
(NOT A MULTIPLE CHOICE)
Answers:
a) The sample is the set of students Ms. Lee selects from the box.b) The population is the set of all students in Ms. Lee's classroom.=============================================
Explanation:
The first sentence tells us what the population is: it's the set of all her students. She's not concerned with any other students in any other classroom. So her "universe", so to speak, is solely focused on this classroom only. Once the population is set up, a sample of it would be a subset of the population.
If set A is a subset of set B, then everything in A is also in B, but not vice versa. For example, the set of humans is a subset of the set of mammals because all humans are mammals. However, a dog is a mammal but not a human. This shows that A is a subset of B, but not the other way around. In this example, A = humans and B = mammals.
Going back to the classroom problem, we have A = sample and B = population. If Ms. Lee has 30 students, and she randomly selects 5 of them, then those 30 students make up set B and the 5 selected make up set A. Selecting the names randomly should generate an unbiased sample. This sample should represent the population overall. If the population is small enough, the teacher could do a census and not need a sample. Though there may be scenarios that it's still effective to draw a sample.
I just need these three pretty please
Which step has the mistake in solving for roots?
2x^2 – 7x – 3 = 1
Step 1: 2x^2 – 7x – 4 = 0
Step 2: x^2 – 7x – 8 = 0
Step 3: (x-8)(x+1) = 0
Step 4: (x-8/4)(x+1/4) = 0
Step 5: (x-2)(4x+1) = 0
Step 6: x – 2 = 0 4x + 1 = 0
Step 7: x = 2 x = -1/4
One of these steps is incorrect. List the step that is incorrect, then finish the problem correctly.
Answer:
Step-by-step explanation:
2x² - 7x - 3 = 1
Step 1: 2x² - 7x - 4 = 0
Step 2: incorrect.
Use Quadratic Formula to solve for roots.
x = [7 ± √(7² – 4·2(-4))] / [2·2]
= [7 ± √81] / 4
= [7 ± 9] /4
= -0.5, 4
the partial circle has a radius of 11 inches
What is the area of this figure? ANSWER ASAP
Answer:
285.1 in.²
Step-by-step explanation:
The circle is a ¾ circle.
Area of the figure = ¾(πr²)
Radius (r) = 11 in.
Plug in the value
Area = ¾(π*11²)
Area = ¾(π*121)
Area = 285.099533 ≈ 285.1 in.² (nearest tenth)
An initial investment of $5,000 grows at 9% per year.
Answer:
C. f(t) = 5000(1.09)^t
Step-by-step explanation:
Compound interest formula:
F = P(1 + r)^t
Answer: C. f(t) = 5000(1.09)^t
what is the absolute value of |4x|- 12 = 4
Answer:
X = 4
Step-by-step explanation:
4 X 4 equals 16 and 16 minus twelve equals 4
Omg help! WORTH 20 points NEED ASAP!!!
Answer:
The second and last one
Step-by-step explanation:
Sorry if it's not the right answers
Answer:
The first one for sure and maybe the last one
Step-by-step explanation: