What is the value of x
Answer:
x = 20
Step-by-step explanation:
Exterior angle theorem
Exterior angle = Interior opposite angle 1 + Interior opposite angle 2
(9x + 16)° = 90 + (5x - 14)°
9x + 16 = 90 + 5x - 14
9x - 5x = 90 - 14 - 16
4x = 90 - 30
4x/4 = 60/4
x = 20
What’s the answer yalll
Use root test to determine the following series is convergent/divergent or inconclusive
By the root test, the series converges. We have
[tex]\displaystyle\lim_{k\to\infty}\sqrt[k]{\left|(-1)^k\frac{k^3}{3^k}\right|}=\lim_{k\to\infty}\frac{\sqrt[k]{k^3}}3=\frac13\lim_{k\to\infty}k^{\frac3k}=\frac13[/tex]
which is less than 1.
In case it's not clear why [tex]k^{3/k}[/tex] should converge to 1:
[tex]\displaystyle\lim_{k\to\infty}k^{\frac3k}=\lim_{k\to\infty}\exp\left(\ln k^{\frac3k}\right)=\exp\left(\lim_{k\to\infty}\frac{3\ln k}k\right)\to e^0=1[/tex]
pog i will give u a pog if u get it correct
Answer:
32.4
Step-by-step explanation:
Answer:
WHOS YOUR FAV MCYT
Step-by-step explanation: WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT WILBUR SOOT TOMMYINNIT
Determine the equation of the perpendicular bisector JK whose endpoints are J(-4,9) and K(6,1). Show all your work below. (Use of the grid is optional.)
Answer:
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Step-by-step explanation:
Coordinates of segment with endpoints J and K are,
J(-4, 9) and K(6, 1)
Midpoint of the segment JK = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4+6}{2},\frac{9+1}{2})[/tex]
= (1, 5)
Slope of JK, [tex](m_1)=\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{9-1}{-4-6}[/tex]
= [tex]-\frac{4}{5}[/tex]
Let the equation of perpendicular bisector passing through [tex](x_1,y_1)[/tex] and slope [tex]m_2[/tex] is,
[tex]y-y_1=m_2(x - x_1)[/tex]
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]-\frac{4}{5}\times m_2=-1[/tex]
[tex]m_2=\frac{5}{4}[/tex]
Therefore, equation of the line passing through midpoint (1, 5) and slope = [tex]\frac{5}{4}[/tex] will be,
[tex]y-5=\frac{5}{4}(x-1)[/tex]
[tex]y=\frac{5}{4}x-\frac{5}{4}+5[/tex]
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Solve the equation using the distributive property and properties of equality. -5(a+3) = -55 What is the value of a?
Answer:
its 8
Step-by-step explanation:
took the test
Maddelein deposited $750 into an investment account that earns 1.5% daily compounded interest after year how much money will be in the account
1285.37
You can use the formula for compound interest:
P(1+R)^t
P = the principle, the amount of money
(1+R) = the rate, (%) as a decimal plus 1
^t = to the power of the number of years
Substitute the values:
750(1+0.08)^7
750(1.08)^7
1285.37
Step-by-step explanation:
A box containing 12 wooden soldier statues and 18 wooden angels statues. What is the probability of randomly pulling out a wooden soldier statue, replacing it and then pulling out wooden soldier statue again?
A box containing 12 wooden soldier statues and 18 wooden angels statues. What is the probability of randomly pulling out a wooden soldier statue, replacing it and then pulling out wooden soldier statue again?
A. 36%
B. 40%
C. 12%
D. 16%
the answer is d 16%.
had a quiz with this question it and got these one right
Look at image please help me
Which has the greater circumference, circle A with radius = 6 inches, or circle B with diameter = 10 inches. Explain how you know
Answer:
skp
Step-by-step explanation:
Answer:
The answer would be circle A
Step-by-step explanation:
circle A: 12 inches for diameter
circle B: 10 inches for diameter
Suppose that two fair dice are rolled. Find the probability that the number on the first die is a 6 or the number on the second die is a 4.
Answer:
[tex]Probability = \frac{1}{36}[/tex]
Step-by-step explanation:
Given
Two fair dice
Required
Determine the probability that the outcomes is 6 on the first and 4 on the second
First, we need to write out the sample space of both:
[tex]S_1 = \{1,2,3,4,5,6\}[/tex]
[tex]n(S_1) = 6[/tex]
[tex]S_2 = \{1,2,3,4,5,6\}[/tex]
[tex]n(S_2) = 6[/tex]
Where S1 represents the first and S2, the second
The probability of outcome of 6 on the first is:
[tex]P(6) = \frac{n(6)}{n(S_1)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
The probability of outcome of 4 on the second is:
[tex]P(4) = \frac{n(4)}{n(S_2)}[/tex]
[tex]P(4) = \frac{1}{6}[/tex]
So, the required probability is then calculated as:
[tex]Probability = P(6) * P(4)[/tex]
[tex]Probability = \frac{1}{6} *\frac{1}{6}[/tex]
[tex]Probability = \frac{1}{36}[/tex]
whats 0.32 as a percent
Answer:
32%
Step-by-step explanation:
1.00 is 100%, so, 0.32 is 32%.
The decimal number 0.32 as a percentage is 32%.
We have,
To explain further, a percent is a way to represent a portion or a fraction of 100. When we multiply a decimal number by 100, we essentially scale it up to the corresponding percentage value.
In the case of 0.32, multiplying it by 100 yields 32, which represents 32% of the whole. So, 0.32 is equivalent to 32%.
To express 0.32 as a percent, we multiply the decimal value by 100.
So,
In this case,
To convert 0.32 to a percent, we perform the calculation:
0.32 x 100 = 32
Therefore,
0.32 as a percentage is 32%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
HELP LOL whats the awnser
Answer:
(-4,-1)
Step-by-step explanation:
Describe the end behavior of the graph of each function.
-2
2
4
Answer:
it a shape of a w and nothing
Step-by-step explanation:
have some bubble tea
can you find all the angles plz
Answer:
hmmmmm
Step-by-step explanation:
Sarah walked at a constant speed of 20 blocks per hour. If she walked for 30 minutes how many blocks did she walk?
Answer:
She walked 10 blocks
Step-by-step explanation:
Answer:
10 blocks
Explanation:
20 blocks ÷ 2 = 10 blocks
The FIRST ANSWER GETS BrAINLIEST
Answer:
me
Step-by-step explanation:
Right? Pls reply ASAP i need this before 11:45am in need pls hurry
Answer:
I think so.
Step-by-step explanation:
If you do the math 2(5-3) exponent 2 - 4 = 4
So if y is 4 you should be correct!
Thb I think you need to know the value of y to solve this question.
please someone help me on this
Yesterday, 15 guests at a hotel called for room service, and 105 guests did not call for room service. What percentage of the guests at this hotel called for room service yesterday?
Place the values in increasing order
PHIENOX THE SNAKE IS THE BEST
Answer:
:) haha nice!
Step-by-step explanation:
my account was deleted dm2269994
Answer:
awe he/she is soooo cute ФωФ
Step-by-step explanation:
hope you have a good day sir/ma'am
Courtney’s soccer team drank
20.5 bottles of juice after a game.
Each bottle contained 0.5 liters of
juice. How many liters of juice did
they drink in all? Show your work.
How did you know where to place
the decimal point? (6-3)
Answer:
10.25 liters
Step-by-step explanation:
the decimal goes between 10 and 25 because you multiply the .5 separately. hope this helped
Please help!!!!!!!!!!!!!!!! Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the
account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money the account, y, and after x
months?
Answer choices :
A.y=8x+25
B.y=25x
C.y=25x+505
D.60x+25
Answer:
a.)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If someone can please do the check for me, please.
Whats the question theres nothing attached
34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work
Answer:
Sale price of video game with tax = $20.3775
Yes, they both have enough money to purchase the video game.
Step-by-step explanation:
Given that:
Original price of video game = $28.50
Discount on original price = 35%
Sales tax = 10%
Money available with Pat and Henri = $21 each
First of all, let us find out the price as per Pat's method.
Step 1:
Taking 35% of $28.50
[tex]\Rightarrow \dfrac{35}{100}\times \$28.50 = \$9.975[/tex]
Step 2:
Subtract from $28.50 to find the sale price:
$28.50 - $9.975 = $18.525
Step 3:
Take 10% of sale price:
[tex]\$18.525\times \dfrac{10}{100} = \$1.8525[/tex]
Step 4:
Add to sale price to get the final amount to be paid:
$18.525 + $1.8525 = $20.3775
Now, let us use Henri's method:
Step 1:
Find 65% of original price:
[tex]\dfrac{65}{100}\times $28.50 = \$18.525[/tex]
Step 2:
Find 110%:
[tex]\dfrac{110}{100}\times \$18.525 = \bold{\$20.3775}[/tex]
Sale price of video game with tax = $20.3775
Yes, they both have enough money to purchase the video game.
Determine two coterminal angles (one positive and one negative) for the given angle.
114
What is the answer for this question plz help?
Answer:
29 hopefully its right
Answer:
29
Step-by-step explanation:
d+6c
Let d=5 and c = 4
5 + 6*4
Multiply first
5 +24
Then add
29
2. Simplify:
a. 2(4x + 5y)
b. -3(2x + 4y)
PLEASE HURRY
a. 2(4x + 5y)
(2×4)x + (2×5)y
= 8x + 10y
b. -3(2x + 4y)
(-3×2)x + (-3×4)y
= -6x - 12y
John is x years old, Ahmad is 3 years older than John. The total of their age is 63 years. Form and equation and work out the age of Ahmad.
Answer:
x = john
x + 3 = ahmad
x + (x + 3) = 63
2x + 3 = 63
2x = 60
x = 30
john is 30 so ahmad is 33
