Answer:
y = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 6 when y = 0.5 , then
0.5 = 6k ( divide both sides by 6 )
[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]
y = [tex]\frac{1}{12}[/tex] x ← equation of variation
When x = 10, then
y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
A radius of a circle is perpendicular to a chord if and only if it
A. is equal in length to that chord
B. parallels that chord
C. bisects that chord
D. intersects the chord directly on the circumference
Answer:
C. bisects that chord
Step-by-step explanation:
The radius of a circle is perpendicular to a chord if and only if it bisects the chord. Therefore, the option b is correct.
Radius of the circle:In the case when the diameter or the radius should be perpendicular with respect to the chord so it should be bisected the chord also its arc.
At the time when the two chords should be congruent so their corresponding arc should also be congruent.
Therefore, the option b is correct.
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Rushi ran 7.35 miles on Monday and 2.29 miles on Tuesday. How many more miles did Rushi run on
Monday than Tuesday?
Answer:
5.06
Step-by-step explanation:
hope this helps!
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack
number of packs of regular cards =r and the number of packs of foll cards = f
Cost of Regular card = 3.50
Cost of 'r' packs of regular card = 3.50r
Cost of Foil card = 4.50
Cost of 'f' packs of Foil card = 4.50f
Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20
The inequality becomes
3.50r + 4.50f <= 20
Given log34≈1.262 and log37≈1.771, what is the value of log3(167)?
Enter your answer in the box.
Answer:
0.753
Step-by-step explanation:
I just took the test lol
The value of log₃(⁷/₁₆) when log₃4 = 1.262 and log₃7 = 1.771 is;
log₃(⁷/₁₆) = -0.753
We are given;
log₃4 = 1.262
log₃7 = 1.771
We want to find log₃(⁷/₁₆)
Now, from properties of logarithm too, we have;
logₐ(x/y) = logₐx - logₐy
Thus; log₃(⁷/₁₆) = log₃7 - log₃16
Also, we know that; logₐx² = 2logₐx
Thus; log₃16 = log₃4²
log₃16 = 2log₃4
Thus; log₃(⁷/₁₆) = log₃7 - 2log₃4
Plugging in the relevant values gives;
1.771 - 2(1.262) = -0.753
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An oven is set at 176.8°C. Marla increases the temperature by 23.8°C.
What is the final oven temperature?
Answer:
200.6 degrees Celsius
We have the given number, 176.8 degrees Celsius, and we add or increase it by 23.8 degrees.
176.8 + 23.8 = 200.6
Our final answer is 200.6 degrees Celsius.
~Hope this helps~
Answer:
200.6'C or 461.2'F
Step-by-step explanation:
176.8'C
+ 23.8'C
--------------
200.6'C
To make 'F, we must add 30, then multiply by 2.
200.6'F
+ 30.0'F
--------------
230.6'F
x 2
--------------
461.2'F
--------------
Not sure if you needed all this but happy to help!
How to add a Histogram plz my homework is due tomorrow so I did now sorry if I rushed you but my mom is getting my report card so I need to up those grades
Answer:
Step-by-step explanation:
!!will give brainliest!! If you want addition to be done before multiplication, what do you need to add to the problem?
I beive your doing "Order of Operations"
Heres some information.
Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to preform multiplication and division from left to right. Next, add and subtract from left to right.
(!) Leave a comment to let me know if you need more information or any help (!)
Suppose that a phone that originally sold for $800 loses 3/5 of its value each year after it is released.
After 2 years, how much is the phone worth?
Write an equation for the value of the phone, , years after it is released.
Answer:
It will be worth $128.
Step-by-step explanation:
After 1 year, 3/5 of 800 is 480 which leaves the value at $320, and then after 2 years, 3/5 of 320 is 192. 320-192 leaves the value at $128.
Help please! Find the surface area WITHOUT the bottom.
Answer:
B
Step-by-step explanation:
(6.5×6.5)2+(1÷2×5×6)2
Name the steps of solving 5x+4=40
Answer:
Step-by-step explanation:
Simplifying
5x + -4 = 40
Reorder the terms:
-4 + 5x = 40
Solving
-4 + 5x = 40
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 5x = 40 + 4
Combine like terms: -4 + 4 = 0
0 + 5x = 40 + 4
5x = 40 + 4
Combine like terms: 40 + 4 = 44
5x = 44
Divide each side by '5'.
x = 8.8
Simplifying
x = 8.8
Jessica and Maria got to the supermarket to buy fruit. Jessica
buys 5 apples and 6 oranges and her total before tax is $3.05.
Maria buys 7 apples and 6 oranges and her total before tax is
$3.55. What is the price of each fruit?
Answer:$0.25 per apple
$0.30 per orange
Step-by-step explanation:
I knowwww iM aMbitious and i helped 126
people
HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?
a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t
Answer:
b. P = 56,382(1+0.012)^t
The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The population P after 2010 is an exponential growth function of the form:
[tex]P = P_{0} (1 + r)^t[/tex]
where P₀ is the initial population,
r is the annual growth rate as a decimal, and
t is the time in years.
Byu given information P₀ = 56,382,
r = 0.012, and
t is the number of years after 2010.
The equation that defines the population in Smalltown t years after 2010 is:
[tex]P = 56,382(1 + 0.012)^t[/tex]
Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
To learn more on Percentage click:
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please help me, this is late and i will get in soooo much trouble if i do not complete this
Answer:
(D)
Step-by-step explanation:
I dont know tis for sure and so i hope im right :)
A student did not complete two assignments in Math class this week.
Each assignment was worth 5 points.
The student's current grade is an 80. How many points will they lose?
Answer : They will lose 10 points
Step-by-step explanation:
Answer:
They will lose 10 points
Step-by-step explanation:
Each assignment was worth 5 points.
5x2=10
Her grade would be a 70%
3600 dollars is placed in an account with an annual interest rate of 9%. How much
will be in the account after 25 years, to the nearest cent?
Answer:
r
Step-by-step explanation:
1. The scale of a map is 1:1000. What are the actual dimensions of a
rectangle which appears as 4 cm by 3 cm on the map? What is the area
on the map in cm2 ?What is the actual area in m2?
Answer:
Step-by-step explanation:
4 cm × 1000 = 4000 cm = 40 meters
3 cm × 1000 = 3000 cm = 30 meters
A 4 cm by 3 cm section on the map represents 40 m by 30 m.
area = 40 m × 30 m = 1200 m²
this is an arrangement of data, usually in rows or column's.it is called___?
Answer:
Table
Step-by-step explanation:
A table is an arrangement of data in rows and columns, or possibly in a more complex structure.
WILL MARK BRAINLIST!!!!!!!!!!!!!!!!!
Answer:
184
Step-by-step explanation:
f(-9) means find the value of the function when x = -9, so substitute -9 into the function and solve:
3(-9)^2 + 5(-9) - 14
3(81) + 5(-9) - 14
3(81) + (-45) - 14
243 - 45 - 14
184
Sydney bought 3 bottles of glitter each bottle of glitter cost $6 how much did Sydney spend on the bottles of glitter
Answer:
Sydney spent $18 dollars on glitter.
Step-by-step explanation:
3 x 6 = 18.
Hope this helped?! ♥
PLEASE HELP ITS DUE AT MIDNIGHT (pt 2)
Answer:
5. there was a: 18% decrease.
6. if the intial value was 285 and there was a 15 difference then the final value is 300. The change is 5.26%.
7. She has a 33.3333 % increase
8. The amount of students increased by 23.0769%
I hope this somewhat helps
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
3,052.08 cm^3
Step-by-step explanation:
Here, we want to find the volume of the sphere
We have the formula as;
V = 4/3 * pi * r^3
The radius is 9 cm
V = 4/3 * 3.14 * 9^3
V = 3,052.08 cm^3
Answer:
113.04
Step-by-step explanation:
PLEASE HELP !!!!!!!!!! What is mzABC?
Answer:160
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
Angle ABC is 135 (the exterior angle of ACB) minus angle BAC so
135-75 = 60
What is the volume of this composite solid?
5 m
12m
A. 1188 cubic meters
B. 132 cubic meters
O Ο Ο Ο
C. 864 cubic meters
D. 567 cubic meters
Answer:
The answer is 864 cubic meters
ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this... (2)
Step-by-step explanation:
i was busy so i did this much ...will solve later
Simplify the expression below 12 divided by (2+1)
Answer:
12 divide by 2+1
2+1=3 so
12/3
4
000_7th Math 2020-2021 Spring Benchmark
COLOR THEME
e Q ZOOM
35. The distance between two cities on a map is 3.5 centimeters. The map uses a scale
in which 1 centimeter represents 20 kilometers. What is the actual distance
between these two cities in kilometers?
Answer:
The distance between two cities is 70 km.
Step-by-step explanation:
Given that,
The distance between two cities on a map is 3.5 centimeters.
It is also mentioned that the map uses a scale in which 1 centimeter represents 20 kilometers.
We need to find the actual distance between these two cities in kilometers.
1 cm = 20 km
3.5 cm = (3.5 × 20) km
= 70 km
Hence, the distance between two cities is 70 km.
What is 5^5 evaluated or to make it easier to understand if you don't know what 5^5 is then it means what is 5 to the power of 5 evaluated?
6th GRADE MATH
Answer:
3125
Step-by-step explanation:
5 x 5 x 5 x 5 x 5
25 x 5 x 5 x 5
125 x 5 x 5
625 x 5
3125
Answer:
3125 hope this helps you
He is ordering the pizzas from a place that has 12 different topping options.
7 options are vegetarian and 5 are meats.
Write the ratio of vegetarian options to the total of options in three different ways
Answer:
7:5, 7/5, 7 to 5
Explanation:
I think you're asking of this?? If not lmk
A-(5,-9)
B-(-9,-5)
C-(-9,5)
D-(-5,9)
ASAP HELP!!! WILL MARK BRAINLIST!!!
Simplify Please and Thank you!
Answer:
[tex]2\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}[/tex]
