Here's the solution,
we know,
[tex] \large \boxed{Sn = \frac{n}{2}[ 2a _1 + (n - 1)d ] }[/tex]
=》
[tex]Sn = \dfrac{17}{2} [ (2 \times 8 )+ (17 - 1) \times ( - 9) ][/tex]
=》
[tex]Sn = \dfrac{17}{2} [16 + (16 \times - 9)][/tex]
=》
[tex]Sn = \dfrac{17}{2} [16 + ( - 144)][/tex]
=》
[tex]Sn = \dfrac{17}{2} \times (- 128)[/tex]
=》
[tex]Sn = 17 \times ( - 64)[/tex]
=》
[tex]\huge\boxed{Sn = - 1088}[/tex]
Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach a top speed of 85 mph which roller coaster has a greater top speed?
Roller coaster B has greater top speed than roller coaster A.
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given,
speed of roller coaster A = 110ft./s
speed of roller coaster B = 85mph
1 mile = 5280 feet
⇒ 85 mile = 5280 × 85 = 448800 feet
1 hour = 3600 seconds
speed of roller coaster B = 448800/3600 ft/s = 124.67 ft/s
comparing speed of both
Speed of roller coaster B > speed of roller coaster A
Hence roller coaster B has greater top speed.
Learn more about unit conversion here:
brainly.com/question/7171227
#SPJ1
Note: Enter your answer and SHOW ALL THE STEPS THAT YOU USED to solve this problem in the space provided.
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?
Answer:
The temp. started at -20. If it rose +8 degrees, then it would be -20+8=-12, because since the -20 and +8 are opposites, you would subtract them and the answer would have the sign of the larger number which is -. so -12 is the answer.
Step-by-step explanation:
since the -20 and +8 are opposites, you have to subtract them and you get -12
the temperature at midnight is -12 get it?
A student flips four different coins at the same time. Which choice shows all of the possibilities for the results of the coin toss? (H = heads, T = tails)
A HH, TT, HT, TH
B HHHT, HTTT, HHTT
C HHH, TTT, HTH, HTT
D HHHH, HTHH, HTTH, HTTT, TTTT
Answer:
D
Step-by-step explanation:
Please mark brainliest
Answer:
This is the event X1=H. There are 8 outcomes in this event. Let C be the event that the first flip and the third flip are both heads. So A and B would not be the answer so I am guessing it is D and if I am right pls mark me brainless
Assume that AGHIE ALMN. Which of the following congruence statements
are correct? Check all that apply.
A. ZL 21
B. IG LM
C. THNM
D. ZN 21
E. GH = LM
F. ZME ZH
On solving the provided questions, we can say that the congruence of ABC=DEF, where A=D, B=E, and C=F.D because they are equal in length. F
What is congruence?A figure that can be put exactly on another is said to be "matching." When the bread is piled, it is the same size and shape. The term "match" describes things that are precisely the same shape and size. A pair of geometric figures is said to be congruent or to be in a congruent relationship if one of them can be reliably superimposed over the other.
B D and F.
B because they would go together if the statement were put in that particular sequence. ABC=DEF, where A=D, B=E, and C=F.D because they are equal in length. F due to the same cause as B.
To know more about congruence visit:
brainly.com/question/7888063
#SPJ1
If a dart is thrown and hit inside the square. What is the probability
that it will NOT hit inside the circle? Round your answer to the
nearest percent.
lin
5in
The probability of NOT hitting inside the circle is
percent.
Answer: 50%
Step-by-step explanation:
A ball is thrown upward from a tower 234 ft. high with an initial velocity of 19 ft per second. In how
many seconds will it strike the groun kod and with what velocity?
Step-by-step explanation:
Set the origin of the coordinate system at the top of the tower.
Given:
y = -234 ft (when the ball hits the ground)
v0 = +19ft/a
g = 32 ft/s^2
a) The equation of motion. for this freely-falling body is
y = v0t - (1/2)gt^2
When the ball hits the ground, t = T (time of flight)
----> -234 ft = (19 ft/s)T - (1/2)(32 ft/s^2)T^2
Rearranging the terms and dropping the units momentarily for brevity, we get
(16)T^2 - 19T - 234 = 0
This is a quadratic equation whose solution is
T = (1/32)[19 +- {(-19)^2 - 4(16)(-234)}]^(1/2)
= 4.46 s. or -2.68 s
Therefore, the time of flight T = 4.46 s
b) To find the velocity upon impact, we use
v = v0 - gt, where t = T = 4.46 s
= (19 ft/s) - (32 ft/s^2)(4.46 s)
= -123.7 ft/s
The negative sign means that its velocity is pointing down.
Plot 9, 2, and -4 on the number line PLS HELP BEEN ON THIS QUESTION FOR 3 HOURS
Answer: 9 is on left of the tiny dotted line of 10. 2 is the tiny dotted line right of 1 and -4 is right of the tiny dotted line of 5.
Step-by-step explanation:
here's a vague picture, hope this makes sense.
If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?
Answer: To find the percent increase in pay, you can use the following formula:
percent increase = ((new pay - old pay)/old pay) * 100
Plugging in the values given in the question, you get:
percent increase = ((11.75 - 10.50)/10.50) * 100
= (1.25/10.50) * 100
= 0.119047619 * 100
= 11.9047619%
Therefore, the percent increase in pay is approximately 11.9%.
Step-by-step explanation:
The weight of the square is 10 grams. How much heavier is the circle than the square?
By adding the weight of the triangle, the weight of the circle heavier than that of the square.
How to determine how much heavier the circle is than the squareThe linear equation that results from examining the weights will contain the following parameters.
Let t stand for the triangle.
Let c stand for the circle.
Let's use the shape square.
left side of the equation = 6s + 3t
right side of the equation = 3s + 3c
equating both sides
6s + 3t = 3s + 3c
6s - 3s + 3t = 3s + 3c
3s + 3t = 3c
3(s + t) = 3c
dividing all through by 3
s + t = c
10 + t = c
Because of the resulting equation, we can conclude that the the circle is weightier than the square by the weight of the triangle
Learn more about equations at:
brainly.com/question/22688504
#SPJ1
the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
The number of months Mark can have the phone is given by the equation
A = 11.4 months
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 number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
DUE PLS HELP!! Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying 5% tax, does Kayla have enough money to purchase the three shirts?
Complete each statement.
The cost of the shirts after the discount is $43.20.
A 5% tax adds an additional $2.16 so the total bill comes to 45.36.
Kayla does not have enough money to buy the three shirts.
Does Kayla have enough money to purchase the three shirts?The first step is to determine the total cost of the three shirts.
Total cost of the three shirts = cost of one shirt x total number of shirts
$18 x 3 = $54
Cost of the shirt after the sale = (1 - discount/100) x total cost of the shirt
(1 - 20/100) x $54
(1 - 0.2) x $54
= 0.8 x $54
= $43.20
Price after the tax : (1 + tax/100) x cost of the shirt after the discount
(1 + 5/100) x $43.20
(1 + 0.05) x $43.20
1.05 x $43.20 = 45.36
To learn more about tax, please check: https://brainly.com/question/16423331
#SPJ1
Help I’ll give extra points and brainlist
NO LINKS OR ELSE I WILL REPORT
Pls help I’ll brainlest
Answer:
It would be B.
Step-by-step explanation:
This is because adding a negative exponent onto a number is telling you how many times you have to divide it by. So in this case, it would be the equation 1 / 2^4 to solve it.
Answer:
answer is b friend
Step-by-step explanation:
I will mark brainliest please help!
Find the are of the figure?
Answer:
The answer is 28
Step-by-step explanation:
B×h ÷ 2
8×7 ÷ 2
4. The sum of two numbers is 100. If one is four times the another, find the numbers
Let the numbers be x and 4x. So, according to the question,
x + 4x = 100
=> 5x = 100
=> x = 100/5
=> x = 20
So, the number are,
x = 20
and
4x = 4×20 = 80
So, the two numbers are 20 and 80.
Equations of exponential Functions
The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table show. The exponential regression equation was found to be y = 9.79(0.8213)× where x represents the number of years since 2000. Use the regression equation to predict the number of VHS movie rentals in 2011.
a. 0 c. 88.45
b. 0.11 d. 1.12
Please select the best answer from the choices provided
Answer:
D. 1.12
Step-by-step explanation:
I calculated it logically
1. Spongebob, Patrick, and Mr. Krabs are investing a total of $70,000 in the Krusty Krab at a ratio
of 12:7-16. How much money did each of them invest?
Spongebob
Patrick:
Mr. Krabs:
Answer:
Too much money
Step-by-step explanation:
Part B
Next, rewrite the exponential expression using factors of 8 so that the base of the equation is a product of two factors, with one factor being a perfect square.
The exponential expression is (√4×√2)².
What is radical form?Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.
The given number is √8.
Now, 8=(√4×√2)²
=(2×√2)²
= 4×2
= 8
Therefore, the exponential expression is (√4×√2)².
Learn more about the radical form here:
brainly.com/question/27272065.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
Rewrite the exponential expression using factors of √8 so that the base of the equation is a product of two factors, with one factor being a perfect square.
How many lines of symmetry does the picture have?
PIC INCLUDED
Answer:
A) 1 line of symmetry
Step-by-step explanation:
(khan academy) please help
Answer: C
Step-by-step explanation:
[tex](2^{-7} \cdot 5^5)^2\\\\=2^{(-7)(2)} \cdot 5^{(5)(2)}\\\\=2^{-14} \cdot 5^{10}[/tex]
Use Exponential Functions
What is the y-intercept of the graph of y = 2.5×?
a. 2.5 c. 0
b. 1 d. -1
Please select the best answer from the choices provided
Answer:
B. 1
Step-by-step explanation:
I calculated it logically
Answer:
The correct answer bbbbb B. 1
Find Y
Special right triangles
Please last question of the day!! Due in 20 min!
Please help me im pass due and my mom will ground me
Answer:
[tex] \frac{5}{6} * 20 = \frac{5 * 20}{6} = \frac{100}{6} = \frac{50}{3} = 16\frac{2}{3} [/tex]
Step-by-step explanation:
[tex] \frac{5}{6} * 20 [/tex]
Multiply
[tex] = \frac{5 * 20}{6} [/tex]
[tex] = \frac{100}{6} [/tex]
Simplicity by reducing the fraction. Divide the numerator and denominator by 2, respectively.
[tex] = \frac{50}{3} [/tex]
Divide 50 by 3 to get a mixed number
[tex] = 16\frac{2}{3} [/tex]
HELP ASAP I GIVE BRAINLESS!!!!!!!!!!!! ALSO GIVE 50 POINTS!!!!!!
what is the definition of comparison of two numbers
ps this is the question above this sentence!!!
Answer:
comparing number
Step-by-step explanation:
the answer is comparing numbers
Apples with mass 90 grams or less cost 32p each. Apples with mass more than 90 grams cost 39p each.
Estimate the total cost of the 200 apples.
(3 marks)
Answer:
So the answer is £67.08p
Step-by-step explanation:
156 X 0.32 + 4992 - so £49.92
Then, (200-156) X0.39 = £17.16
£17.16 + £49.92 = £67.08!! - hope this helps
Answer:
£67.08
Step-by-step explanation:
44 apples weigh more than 90 grams.
156 apples weigh 90 grams or less.
0.39 x 44 = £17.16
0.32 x 156 = £49.92
49.92 + 17.16 = £67.08
Which lines are parallel. 1.) The blue and green 2.) blue and red 3.) Red and green 4.) blue,red,green
Answer: 2.) Blue and red
Step-by-step explanation:
The slope of the red and blue ones is - 3 while the green one's slope is -4
To make a batch of salad dressing, combine 11 tablespoons of
oil with 22 tablespoons of vinegar. How many tablespoons of
vinegar are needed for every tablespoon of oil?
You need 2 tablespoons of vinegar for every 1 tablespoon of oil.
What are a ratio and proportions?
A ratio is a way of comparing two or more values by division. A ratio expresses a relationship between two or more quantities. It is a comparison of one quantity to another. For example, the ratio of 3:2, 3 is being compared to 2.
A proportion is an equation that states that two ratios are equal. It can be written as:
a/b = c/d or a:b = c:d, where a,b,c,d are numerical values.
The ratio of tablespoons of vinegar to tablespoons of oil in the salad dressing is given by the ratio of the number of tablespoons of vinegar to the number of tablespoons of oil.
In this case, the ratio is 22 tablespoons of vinegar to 11 tablespoons of oil, or 22/11.
You can simplify this ratio by dividing both numerator and denominator by their greatest common divisor, that is 11
So the ratio of tablespoons of vinegar to tablespoons of oil is 2:1
Another way to express this is that for every 1 tablespoon of oil, 2 tablespoons of vinegar are needed.
So, If you want to know how many tablespoons of vinegar are needed for every tablespoon of oil you can use the proportion:
vinegar/oil = 22/11 = 2/1
Hence, you need 2 tablespoons of vinegar for every 1 tablespoon of oil.
To learn more about the ratio and proportion, visit:
https://brainly.com/question/12024093
#SPJ1
Use the Power Property of Logarithms to write the logarithm as a product, and simplify if possible: lnx3√.
Answer:
[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]
We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
What are Logarithms?A logarithm is the power to which a number must be raised in order to get some other number
We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]
We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]
So Given logx to the power of root three
Here consider x as a and b as root 3.
[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
To learn more on Logarithms click:
https://brainly.com/question/28346542
#SPJ2
The length of 1 board is 2feet and 10 inches, length of another board is 1yard 1foot 9inches. What is the total of the boards put together. Simplify answer
The total length of the two boards put together is 5ft 11in.
What is length?Length is a measure of distance. It is typically measured in units such as inches, feet, yards, miles, millimeters, centimeters, and meters. Length can also be measured in other units, such as the amount of time it takes to travel a certain distance. Length is an important concept in mathematics and is used in many different topics and applications.
To simplify this answer in feet, we can convert the 10 inches and 9 inches to feet, giving us a total of 5 feet. Therefore, the total length of the two boards put together is 5ft.
To know more about Length click-
https://brainly.com/question/25292087
#SPJ1
HELP PLEASE NO LINKS!!!!!!!!
6. Which of the following equations does the model below represent?
Answer:
Step-by-step explanation:
Note the shiding squares ( 12 of 16) represent 3/4. And you are taking a quarter of that. The equation is
[tex]\frac{3}{4}\div4=\frac{3}{16}[/tex]