Answer:
Step-by-step explanation:
Let x be the total number of medals won by the Russians.
The way to do this is to add the ratios together
1 + 8 + 5 = 14
(5/14) x = 25
Multiply by 14
5*x = 25 * 14
5x = 350
divide by 5
70
8/14 = x / 70
14x = 8 * 70
14x = 560
x = 560 / 14
x = 40
The USA won 40 medals.
1/14 = x / 70
14x = 70
x = 5
Canada Won 5 medals.
Check
Russia Won 25 medals
Canada Won 5 medals
USA Won 40 medals
Total 70
(08.05 MC)
The quadratic functions f(x) and g(x) are described as follows:
f(x) = -8x? +7
g(x)
0
0
1
2
2
6
3
2
4
0
Which of the following statements best compares the maximum value of the two functions?
The maximum value is the same for both functions.
Of(x) has a greater maximum value than g(x).
O g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.
Answer:
x=67
Step-by-step explanation:
The correct statement is,
(B) f(x) has a greater maximum value than g(x).
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function f (x) is,
f (x) = - 8x² + 7
Now, First, we determine the maximum point of f(x).
f(x) is at maximum at the point of symmetry, i.e. where x = - b/a
Here, a = -8, b = 0
Hence, x = - 0 / - 8 = 0
So, We get;
f (0) = - 8 x 0 + 7 = 7
Thus,
The maximum point of f(x) is (0,7)
And, The maximum point of g(x) is (2,6)
Therefore, f(x) has a greater maximum value than g(x).
Hence3, The correct option is B.
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Last week Tina are in $2.50 less than twice what earned how much did Tina earn last week if add earn $6.50?
Answer:
Tina earned $11.5
Step-by-step explanation:
From the question, we are told that Tiana earns 2.50 less than twice what is earned by Add
let us have x as what is earned by Add
Thus, we have what is earned as 2x-2.5
Now Add, earned 6.50, so we want to know what Tina earned
That would be;
2(6.5) - 2.5
= 13-2.5
= 10.5
SOMEONE PLS HELP WITH THIS
Answer:
blue
Step-by-step explanation:
Answer:
The second option from the left
Step-by-step explanation:
The right answer is the second option because if we follow the pattern through we will get the following...
[tex]y =2(4)^{x} \\y = 2(4)^{0} = 2(1) = 2\\y = 2(4)^{1} = 2(4) = 8\\y = 2(4)^{2} = 2(16) = 32\\y = 2(4)^{3} = 2(64) = 128[/tex]
From this we know the pattern must be 2, 8, 32, 128
Question 3
Find the slope-intercept form of the equation of the line that passes through (-6, 2)and is parallel to y=2x+3
Answer:
How to use Algebra to find parallel and perpendicular lines. ... y = mx + b. Slope- Intercept Form ... Find the equation of the line that is: ... For y = 3x + 2: the slope is 3, and y- intercept is 2.
PLEASE HELP
Sarah gets a job paying $32,000 a year with the promise of a pay increase of 4% per year.
a. Write a recursive routine to help find Sarah's yearly pay each year.
Start with: 32000
Rule: Multiply by 1.04
b. To the nearest dollar, how much will Sarah make year 5?
c. During what year will Sarah first make more than $40,000 per year?
Answer:
a) P(x) = 32000*1.04^xb) $37435c) During year 7Step-by-step explanation:
Given
Initial pay = $32000Increase rate = 4%a. Formula
P(x) = 32000*1.04^xb. Year 5 is after 4 years, so we are looking for the value of P(4)
P(4) = $32000*1.04^4 = $37435c. P(x) = 40000, x = ?
40000 = 32000*1.04^x1.04^x = 40000/320001.04^x = 1.25log 1.04^x = log 1.25x = log 1.25 / log 1.04x = 5.69, this is 6 years afterThe required number of the years is 6 + 1 = 7
Required
1. Find the missing length of the right triangle when "a" and "b" represent leg length and "c"
represents the length of the hypotenuse. If necessary, round to the nearest tenth
B=5
C=12
Answer:
12^2-5^2=a^2
144-25=a^2
119=a^2
A=10.91
Step-by-step explanation:
Write 2.673 × 10^4 as an ordinary number
2.673 × 10^4 is a scientific number, and the number as an ordinary number is 26730
How to rewrite the number?The number in scientific form is given as:
2.673 × 10^4
Express 10^4 as 10000
2.673 × 10^4 = 2.673 × 10000
Evaluate the product
2.673 × 10^4 = 26730
Hence, 2.673 × 10^4 as an ordinary number is 26730
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The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
There are 25 questions on your math test. You have completed 5 questions so far. What fraction of the total questions do you still need to complete?
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
If you have completed [tex]5[/tex] questions, you still have [tex]25-5=20[/tex] more questions to answer. We need to find what fraction [tex]20[/tex] is of [tex]25[/tex], if that makes sense. A fraction is simply a part over a whole. In this case, the part is [tex]20[/tex] and the whole is [tex]25[/tex]. Therefore, the fraction we are looking for is [tex]\frac{20}{25}[/tex], which simplifies to [tex]\frac{4}{5}[/tex]. Hope this helps!
Answer:
4\5
Step-by-step explanation:
25-5
20\25
4\5
hope this helps!
At 9AM a train traveling 60 miles per hour leaves Los Angeles for San Francisco, a distance of 400 miles. At noon a car traveling at an average speed of 40 miles per hour leaves San Francisco for Los Angeles. At what time will the two vehicles pass each other?
ANSWER PLS
Answer is in the picture:
At 2:02 PM the two vehicles pass each other.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given thta,
Los Angeles to San Francisco:
rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs
San Francisco to Los Angeles:
rate = 40 mph ; distance = 400-x ; time = d/r = (400-x)/40 hrs
So, equation is
x/60 = (400-x)/40 + 3
x/60 = (400-x)+120/40
40x = 60[(400-x)+120]
40x=24000-60x+7200
100x=31200
x=312 miles
Now, time = 312/60
= 5.2 hours
Clock time = 9+5.2
= 14.2 hours
= 2:02 PM
Therefore, at 2:02 PM the two vehicles pass each other.
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Plz help will mark brainliest
Answer: do 8 x 12
Step-by-step explanation:
Answer:
48cm^2
Step-by-step explanation:
(b*h)/2 -> (8*12)/2 -> 96/2 = 48 cm^2
In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.
Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?
Type your answer
Answer: $10,298.80
Step-by-step explanation:
Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.
His Social Security tax is therefore:
= 6.2% * 132,900
= $8,239.80
There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.
Medicare = 1.45% * 142,000
= $2,059
FICA tax = Social security + Medicare
= 8,239.80 + 2,059
= $10,298.80
Label each recursive routine as growth or decay (loss) and identify the percent of growth or decay.
a. Start with: 30
Rule: multiply by 1.07
growth by ????? percent
b. Start with: 100
Rule: multiply by 0.86
decay by ???? percent
c. Start with: 75
Rule: multiply by 1.125
growth by ?????? percent
Answer:
a. Rule: multiply by 1.07
1.07 = 107% = 100% + 7%
Growth by 7%
b. Rule: multiply by 0.86
0.86 = 86% = 100% - 14%
Decay by 14%
c. Rule: multiply by 1.125
1.125 = 112.5% = 100% + 12.5%
Growth by 12.5%
Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6
Answer:
[tex]TU = 15[/tex]
Step-by-step explanation:
Given
[tex]\square MNOP \simeq\ \square STUV[/tex]
[tex]NO = 10[/tex]
[tex]OP = 4[/tex]
[tex]TU = x[/tex]
[tex]UV = 6[/tex]
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
[tex]NO : OP = TU : UV[/tex]
Substitute values for NO, OP, TU and UV
[tex]10 : 4 = x : 6[/tex]
Represent as fraction
[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]
[tex]6 * \frac{10 }{ 4 } = x[/tex]
[tex]x = 6 * \frac{10 }{ 4 }[/tex]
[tex]x = \frac{60 }{ 4 }[/tex]
[tex]x = 15[/tex]
Hence:
[tex]TU = 15[/tex]
Solve the system below.
y = x2
y = –2x + 15
Answer:
since,
y = 2x and y = –2x + 15
then,
2x = –2x + 15
or, 4x = 15
or, x = 15/4
or, x = 3.75
Also,
y= 2x
= 2*3.75
= 7.5
Hope it helped
All the best!!
Answer:
Step-by-step explanation:
[tex]x^{2} = -2x^{2} +15[/tex]
add [tex]2x^{2}[/tex] to both sides
[tex]3x^{2} = 15[/tex]
divide each side by 3
[tex]x^{2} =5[/tex]
square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]
[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]
(y - 3)-3/2+(y-3)-1/2=0
Answer:
y=4
Step-by-step explanation:
pls I NEED HELP PLS HELP MEEE ILL MARK BRANLIEST
Explain a time when you see Pythagorean Theorem in real life. Explain the process you would use to analyze a situation and solve a problem involving the Pythagorean theorem. Be sure to write in complete sentences!
Answer:
Below
Step-by-step explanation:
In areas that require building, such as carpentry or architecture, the Pythagorean Theorem can be used to find unknown side lengths in order to determine the lengths of building material needed to complete the triangle- a shape often used in construction due to its more durable nature.
Answer:
The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal
Step-by-step explanation:
A cash register contains only five dollar and fifty dollar bills. It contains five times as many five dollar bills as fifty dollar bills and the tital amount of money in the cash register is $2925. How many fifty dollar bills are in the cash register?
What is are some example of an expression?
Answer: The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.
Step-by-step explanation:
PLEASE HELP WILL GIVE OUT BRAINLEYST
MATHH PEOPLE HELP
Answer its 82 i added the cm
Heights of American adult women are normally distributed with mean 63.6 inches and standard deviation 2.5 inches. Find the height of an adult woman that corresponds to the 80th percentile.
Answer:
65.7
Step-by-step explanation:
Given ;
Mean, m = 63.6
Standard deviation, s = 2.5
80th percentile = 80 / 100 = 0.8
The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)
Zscore = (x - m) / s
0.842 = (x - 63.6) / 2.5
0.842 * 2.5 = x - 63.6
2.105 = x - 63.6
x = 63.6 + 2.105
x = 65.705
Please help with explanation
Answer:
B
Step-by-step explanation:
The formula for a area of the first semi circle is
[tex] \frac{1}{2} \times \pi {r}^{2} [/tex]
where r is the radius
Since 4 is the diameter, 2 is the radius
plug it in
[tex] \frac{1}{2} \times \pi {2}^{2} [/tex]
[tex] \frac{1}{2} \times 4\pi[/tex]
[tex]2\pi[/tex]
so the area of the first circle is 2
[tex]2\pi[/tex]
now let find the second circle
Since the semi circle is twice the area of AB the diameter is 8 so the radius is 4.
Put it in the equation.
[tex] \frac{1}{2} \times \pi {4}^{2} [/tex]
[tex] \frac{1}{2} \times \pi \times 16[/tex]
[tex]8\pi[/tex]
Now let find the third circle
Since it is twice the size of the second circle, the diameter is 16 and the radius is 8.
[tex] \frac{1}{2} \times \pi {8}^{2} [/tex]
[tex] \frac{1}{2} \times 64\pi[/tex]
[tex]32\pi[/tex]
Now let add the area of the semi circle
[tex]32\pi + 2\pi + 8\pi = 42\pi[/tex]
How to express 1 2/6 as a simplified improper fraction?
Answer:
[tex] \frac{4}{3} [/tex]
Step-by-step explanation:
consider downloading photomath
Solve for x. (5x) (3x + 28)
The answer is 15 because of math and calculator
p−3=−4
Helppppp
Meeee
Plzzz
sorry i had the wrong answer...
Which of the following equation have no solutions?
A. -4x + 5 = -4x - 5.
B. 4x + 5 = -4x + 5
C. 5x + 5 = -4x - 5
D. -4x + 5 = -4x - 4
Answer:
A,
Step-by-step explanation:
Hey There. Your Answers Are A. And D.
Step-by-step explanation:
if -2x + 3 = 7 and 3x + 1 = 5 + y the volume of y is
Answer:
2
Step-by-step explanation:
i did it
find the unknown side length x right here answer in simplest radical form
A.2√41
B.4√29
C.48
D.58
Answer:
D .58
Step-by-step explanation:
i got it right on edg
Answer:
58!
Step-by-step explanation:
A pack of snack bars includes 2 blueberry bars , 3 chocolate bars , and 5 cherry bars . What is the ratio of the number of blueberry bars to the number of cherry bars ?
Answer:
2:5 is the ratio in this situations
Step-by-step explanation:
There are 2 blueberry bars, and 5 cherry.
I need help with this question
Answer:
a) 2.5 x 10^5
b) 8.1 x 10^4
c) 9.06 x 10^8
d) 1.034 x 10^10