Answer:
Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.
Step-by-step explanation:
<1 and <2 are complementary. Solve for the measure of <1.
<1 = 12x + 4
<2 = 9x + 2
A. 52
B. 4
C. 38
D. 8.3
Answer:
A) 52
Step-by-step explanation:
If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.
< 1 + < 2 = 90°
12x + 4 + 9x + 2 = 90°
21x + 6 = 90°
21x + 6 - 6 = 90° - 6
21x = 84°
21x/21 = 84°/21
x = 4
Substitute the value of x = 4 into < 1 and < 2:
m < 1: 12x + 4 = 12(4) + 4 = 52°
m < 2: 9x + 2 = 9(4) + 2 = 38°
Therefore, the correct answer is A) m < 1 = 52°.
If Carol pays $62.90 to fill the 17-gallon gas tank in her vehicle and she can drive 330
miles on one tank of gas, about how much does she pay per mile to drive her vehicle?
Answer:
Step-by-step explanation:10
Given y = a(x - h)^2 + k, p =
A. a
B. 4a
C. 1/4a
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Answer:
C. 1/(4a)
Step-by-step explanation:
We assume you're comparing the vertex form ...
y = a(x -h)^2 +k
to the form used to write the equation in terms of the focal distance p.
y = 1/(4p)(x -h)^2 +k
That comparison tells you ...
a = 1/(4p)
p = 1/(4a) . . . . . . multiply by p/a; matches choice C
__
Additional comment
When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).
When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:
[tex]p=\dfrac{1}{4a}[/tex]
La suma de cuatro números consecutivos es 938 cuál es el valor del número menor
De acuerdo con los cálculos realizados en el presente desarrollo, el valor del número menor es 233.
Dado que la suma de cuatro números consecutivos es 938, para determinar cuál es el valor del número menor se debe realizar el siguiente cálculo:
X + X + 1 + X + 2 + X + 3 = 9384X + 6 = 9384X = 938 - 6X = 932 / 4X = 233233 + 234 + 235 + 236 = 938Por lo tanto, el valor del número menor es 233.
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Which property of equality would be used to solve 3x= 81?
O subtraction
O
addition
O multiplication
O
division
Answer:
divison
Step-by-step explanation:
3x=81
3x/3=81/3
Mrs. Jackson had 493 canned goods that she collected for the annual canned food drive. She put all the cans in 7 equal piles. About how many cans are in each pile?
Answer:
about 70 cans
Step-by-step explanation:
493÷7=70.42
A jar contains 0.65 liter of lime juice and 0.40 liter of orange juice. Meg poured 0.35 liter of cranberry juice into the jar. She then drank 0.10 liter of the mixture.
Part A: Write an expression to represent the total amount of juice left in the jar. (5 points)
Part B: Simplify the expression and identify which property is used in each step. (5 points)
Answer:
Part A: 0.65+0.4+0.35-.1
Part B: 1.3L left and basic maths
Answer:
Step-by-step explanation:
Calculate the work done to stretch an elastic string by 40cm if a force of 10N produces an extension of 4cm in it?
The work done to stretch an elastic string by 40cm is 20 Joules
Hooke law states that the force (F) applied to a spring is directly proportional to the extension (e).
F ∝ e
F = ke
k is the constant
Given that a force of 10N produces an extension of 4cm, hence:
F = ke
10 = k(4)
k = 2.5 N/cm
For an extension of 40cm, the work done is:
Work done = (1/2)ke²
Work done = (1/2)(2.5 N/cm)(40 cm)² = 2000Ncm = 20 Nm
Work done = 20 Joules
The work done to stretch an elastic string by 40cm is 20 Joules
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Is -45.58 an integer
Answer: Yes
Step-by-step explanation: Because a integer is -45.58
One number is 8 more than another number, and their sum is 16. What are the 2 numbers?
Answer:
x = 12
y = 4
Step-by-step explanation:
x + y = 16
x - y = 8
y + 8 = x
Replace x with y + 8 in the new equation
8 + 2y = 16 ----> we can minus 8 on both sides
2y = 8 -----> divide both sides by 2
y = 4
Now for the x value
x + 4 = 16 ----> minus 4 on both sides
x = 12
Answer:
12 and 4
Step-by-step explanation:
In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the interest rate get doubled and is now 0.004%. After, the 10th year it goes back to the original interest rate of 0.002% annually. If I check the amount I know have in total included my principal of $20.00, in the year of 2021. What would the total amount be of putting it there
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Answer:
$20.01
Step-by-step explanation:
In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...
(1.00002^17)(1.00004^1) = 1.00038006801
Then the account balance is ...
$20 × 1.00038006801 ≈ $20.01
_____
Additional comment
The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.
Given that Cos(A) = .6 and csc(A) is -1.25, what is tan (a)
============================================================
Explanation:
cos(A) = 0.6 = 6/10 = 3/5
Recall that csc is the reciprocal of sine.
If csc(A) = -1.25, then sin(A) = 1/csc(A) = 1/(-1.25) = -0.8 = -8/10 = -4/5
Then we would have
tan(A) = sin(A)/cos(A)
tan(A) = sin(A) ÷ cos(A)
tan(A) = (-4/5) ÷ (3/5)
tan(A) = (-4/5) * (5/3)
tan(A) = -4/3
Answer:
-4/3
Step-by-step explanation:
Check the solution
HELP! DUE SOON! X^2=6
Answer:
x² = 2
x = sqrt. of 6
x = (+-)2.449
Step-by-step explanation:
brainliest plz
Please help me I suck in math
Answer:
B) [tex]-4\sqrt{10}+13[/tex]
Step-by-step explanation:
[tex]\sqrt{100}+4\sqrt{10}+3-8\sqrt{10}[/tex]
[tex]10-4\sqrt{10}+3[/tex]
[tex]13-4\sqrt{10}[/tex]
[tex]-4\sqrt{10}+13[/tex]
The equation y = 18x describes the amount of money Spongebob earns as a fry cook, where x is the
number of hours he works and y is the amount of money he earns. Show work. Complete sentence.
The table shows the amount of money Squidward earns as a cashier for different numbers of hours worked.
Squidward’s Earnings
Time (h) 3 5 8 10
Money earned
($) 48 80 128 160
(a) How much money does Spongebob earn per hour?
(b) How much money does Squidward earn per hour?
pls help and explain
Answer:
a. 18 dollars per hour
b. 16 dollars per hour
Step-by-step explanation:
for a, 18 is the slope of y=18x, meaning spongebob earns 18 dollars per hour
for b, since it seems like squidward earns 32 dollars every 2 hours, it can be guessed that he earns 16 dollars per hour, since 32/2 = 16
I NEED URGENT HELP PLSS
Answer:
try b or c hop this help have a good day
Answer:
D
Step-by-step explanation:
the answer is D.. nothing to say step by step
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answer:
20 million vehicles in total
Step-by-step explanation:
25%=1/4
5 million vehicles = 25%
100%/25%=4
5 million * 4 = 20 million vehicles in total
Which is the graph of the following equation?
Square root of x = 4
Answer:
A
Step-by-step explanation:
because 2 times 2 equals 4 and the square root just means what times itself equals this
The ratio of the height of an object in a photograph to the actual height is 1:200. The height of a statue in the photograph is 5 cm. How tall is the statue?
Answer:
1,000 cm
Step-by-step explanation:
5 x 200 = 1000
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50. What is the cost for a pound of parmesan? What is the cost for a pound of ricotta? NEED ANSWER QUICKLY.
Answer:
$16
Step-by-step explanation:
let x = cost of ricotta cheese
let x + 5 = cost of parmesan cheese
.5x + .25(x+5) = $9.5
solve this and we get x =11 (cost per pound for ricotta)now we plug that value back into x + 5 to find the cause of the cost of parmesan cheese
11 +5 = 16y = 16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50.
Let 'x' be the cost of ricotta cheese. Then the cost of parmesan cheese will be (x + 5). Then the equation is given as,
0.5x + 0.25 · (x + 5) = $9.5
Simplify the equation, then we have
0.5x + 0.25 · (x + 5) = $9.5
0.5x + 0.25x + 1.25 = $9.5
0.75x = 8.25
x = $11
Then the cost of parmesan cheese is given as,
x + 5 = $11 + 5
x + 5 = $16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
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Solve pls branliest!
Answer:
1 23 then 70 .2 corrected
this one as well please
Answer:
i need points
Step-by-step explanation:
i need points
In the construction, A is the center of one circle, and B is
the center of the other. Explain why segment EA is the
same length as segment BC.
The measure of angle CFD is The measure of angle CDF is The measure of angle AFB is The measure of angle BFD is The measure of angle ABC is
Answer:
∠CDF = 23° , ∠CFD = 115° , ∠AFB = 115° , ∠BFD = 65° , ∠ABC = 42°
Step-by-step explanation:
m∠CDF = 180 - m∠CDE
m∠CDF = 180 - 157
m∠CDF = 23°
m∠CFD = 180 - ( m∠DCF + m∠CDF )
m∠CFD = 180 - ( 42 + 23 )
m∠CFD = 115°
m∠AFB = m∠CFD (Vertically opposite angles)
m∠AFB = 115°
m∠BFD = 180 - m∠CFD
m∠BFD = 180 - 115
m∠BFD = 65°
∠ABC
Solution 1:
m∠ABC = m∠DCF (Alternate angles)
m∠ABC = 42°
Solution 2:
In ΔAFB
m∠FAB = m∠CDF (Alternate angles)
m∠FAB = 23°
m∠ABC = 180 - ( m∠AFB + m∠FAB )
m∠ABC = 180 - ( 115 + 23 )
m∠ABC = 42°
( sorry for the wired question )
researchers in New York city did a study on ice cream sales and murder rates in the city. this graph was included in the results
after seeing this graph as a picture with the headline "ice cream sales causes murder rates to increase" shared on social media by her best friend's second cousin, the president of a prominent HOA in the Hamptons decided to petition to ban the sale of ice cream so that people would stop being murdered .
this is the question - compare and contrast what you see on the graph.
second part to the question - was the HOA president right for doing so ? what other factors could have contributed to both the rise in ice cream sales and murders? is this an example of correlation or causation?
The presence of a correlation between statistical variables is an indication
of the existence of a relationship variables, it however, does not imply
direct causation.
Part one:
The similarities of the graphs are;
The rate of change in the sale ice cream and rate of murder are almost equal.The peak of ice cream sales and murder rate occur at the same time of the year.The rate of decrease in the sale of ice cream and murder rate are equal between the months of July and December.The differences are;
The shape of the ice cream sale graph is more bell shapes than the graph of murder rates.The murder rates occur over a slightly more longer period than than the sale of ice cream.There is a sharp decrease in the murder rate in the month of February while the ice cream sales increases steadily from January to July.Second part;
The HOA president's petition is in line with the social media post based on the graph.
The graph shows a strong correlation between murder rates and ice cream sales, however, selling ice cream, and murder are unrelated events.
The correlation between the sale of ice cream and murder is an indication of the existence of a common third factor.
Based on the time of the year dependence of the two variables, which corresponds to hot and cold weather, there is a correlation of both the murder rate and ice cream sales with temperature.
Therefore, the HOA president is not right for doing so
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Anyone knows the meaning of these verse:-
اِنَّاۤ اَعْطَيْنٰكَ الْكَوْثَرَ فَصَلِّ لِرَبِّكَ وَا نْحَرْ اِنَّ شَا نِئَكَ هُوَ الْاَ بْتَرُ
(QS. Al-Kawthar 108: Verse1- 3)
HELP WILL GIVE BRANLIEST
ratios
20:220
10:110
5:55
1:?
Answer:
1 : 11Step-by-step explanation:
20:220 = 0.09
10:110 = 0.09
5:55 = 0.09
1:11 = 0.09
Solve the equation 3x2 +5=4x
Step-by-step explanation:
the roots are complex
the answer is in the image above
The number 62 is less than the number of tickets sold in a day at an amusement park. Which of the following inequalities represents the number of tickets sold in a day at the park?
A.
x > 62
B.
x < 62
C.
x = 62
D.
x < 64
Answer:
A
Step-by-step explanation:
because > means more than the other number