Answers
Answer:
Sum of the interior angles of the triangle is 180°.
According to the above problem,
\(4y + (y + 11) + 39 = 180 \\ 5y + 50 = 180 \\ 5y = 130 \\ y = \frac{130}{5} \\ \boxed{y = 26}✓\)
y=26° is the right answer.Related Questions
What is the answer and please tell me how you got the answer
A. (x, y) (2x, 2y)
B. (x, y) (4x, 4y)
C. (x, y) (1\2x, 1\2y)
D. (x, y) (1/4x, 1/4y
Answers
Answer:
A. (x,y) - (2x,2y)
Step-by-step explanation:
Two friends, Francisco and Zoe, had just bought their first cars. Zoe uses 14 gallons of gas to drive 390.6 miles in her car. The graph below represents the number of miles, y, that Francisco can drive his car for every x gallon of gas.
Answers
Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept
We can use the data given in writing out our equation
y = Number miles coveredx = number of gallon390.6 = 14x
If 14 gallons = 390.6 miles
1 gallon = x miles
x = 390.6 / 14
x = 27.9 miles
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is a transformation involving the addition, subtraction, multiplication, or division of or by a constant.
Answers
Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.
For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.
Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.
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what is the annual percentage yield (apy) for money invested at the given annual rate? round results to the nearest hundredth of a percent. 3.5% compounded continuously. a. 3.56%. b. 35.5%.c. 35.3%. d. 3.50%
Answers
The correct answer is option c. 35.3%. The annual percentage yield (apy) for money invested at the given annual rate of 3.5% compounded continuously is 35.3%.
The annual percentage yield (APY) is a measure of the total interest earned on an investment over a year, taking into account the effects of compounding.
To calculate the APY for an investment with continuous compounding, we use the formula:
\(APY = 100(e^r - 1)\),
where r is the annual interest rate expressed as a decimal.
In this case, the annual interest rate is 3.5%, which, when expressed as a decimal, is 0.035. Plugging this value into the APY formula, we get:
\(APY = 100(e^{0.035} - 1).\)
Using a calculator, we find that \(e^{0.035\) is approximately 1.03571. Substituting this value back into the APY formula, we get:
APY ≈ 100(1.03571 - 1) ≈ 3.571%.
Rounding this value to the nearest hundredth of a percent, we get 3.57%.
Among the given answer choices, option c. 35.3% is the closest to the calculated value.
Options a, b, and d are significantly different from the correct answer.
Therefore, option c. 35.3% is the most accurate representation of the APY for an investment with a 3.5% annual interest rate compounded continuously.
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what are the symbols for the true population variance and standard deviationa. s b. o c. s2 d. o2
Answers
The symbols for the true population variance and standard deviation are: c. s2 and d. o2
The true population variance is represented by the symbol s2, while the true population standard deviation is represented by the symbol o2.
It is important to note that the standard deviation is simply the square root of the variance, so if you know one, you can easily find the other.
The standard deviation is a measure of how spread out the data is from the mean, and the variance is the square of the standard deviation.
Both are important statistical measures that are used to analyze data and draw conclusions about a population.
Therefore, options (c) and (d), i.e., s2 and o2 are the correct answers.
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Ethel is packing two suitcases for her vacation. The
first suitcase weighs 24 pounds. The total weight of
the suitcases is 49 pounds. What is the weight of the
second suitcase?
Answers
Answer:
43646
Step-by-step explanation:
I did not know
Answer:
25 pounds
Step-by-step explanation:
both are 49. and one is 24.
49-24=25. which has to be the weight of the second suitcase.
someone help me for this algebra task please
Answers
С E A B G 77° D plz help.me
Answers
the answer is 13°
Select the correct answer. What is the solution for x in the equation 5/3x + 4= 2/3x? A. B. C. D.
Answers
\(\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x }}\)
Subtract 2/3x on both sides.
\(\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0 }}\)
Combine 5/3x and -2/3x to get x.
\(\boldsymbol{\sf{x+4=0 }}\)
Subtract 4 from both sides. Any value subtracted from zero results in its negative value.
\(\boldsymbol{\sf{x=-4 }}\)
Answer:
x = - 4
Step-by-step explanation:
\(\frac{5}{3}\) x + 4 = \(\frac{2}{3}\) x ( multiply through by 3 to clear the fractions )
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
more of my math lesson plz help guyssss
Answers
6. Write 0. 29 as a fraction
Answers
Answer:
7.25/25
Step-by-step explanation:
may I pls have brainliest
Answer:
29/100
Step-by-step explanation:
0.29=29/100
What is 8 to the power of 4?
Answers
Answer:
4096
Step-by-step explanation:
= 64 • 64
=4096
A school had $3,000 to spend on technology. They spent $350 on a new projector. The function f(x)=299x+350 gives the total amount of money spent on technology after buying x tablets. If a teacher finds the tablets on sale for $249 each, how will the function change? Select three statements that are true.
AThe y-intercept of the function will not change
b The domain of the function will change from 0≤x≤8 to 0≤x≤10.
cThe range of the function will not change
dThe y-intercept of the function will decrease by $50.
eThe domain of the function will change from 0≤x≤10 to 0≤x≤12.
fThe range of the function will change
Answers
Answer:
The y-intercept of the function will not change.
Step-by-step explanation:
The given function is:
\(f(x)=2x-4\)
It is defined on the domain
.
We need to find the range:
The range is the set of output values.
\(2\leq x\leq 6\)
Multiply 2 on each side.
\(4\leq 2x\leq 12\)
Subtract 4 from each side.
\(4-4\leq 2x-4\leq 12-4\)
\(0\leq f(x)\leq 8\)
\(0\leq y\leq 8\)
The range of the function is .
Therefore, the correct option is A. The y-intercept of the function will not change.
0
help pls!
-----------
Answers
Step-by-step explanation:
option E is your correct answer.
hope this helps you.
Someone please help me
Answers
Answer:
lemon pie is 7.5 and blueberry is 4.5
Step-by-step explanation:
EF is tangent to circle O at point E, and EK is a secant line. If mEDK = 200°, find m/KEF.
Answers
Answer: Here, m angle KEF = 80 Degrees
What is the slope of the line tangent to the polar curve r=4θ^2 at the point where θ=π/4?
Answers
The slope of the line tangent to the polar curve
r=4θ^2 at the point where
θ=π/4 is -8 Given that the polar curve is
r = 4θ². We have to find the slope of the tangent line at
θ = π/4. Now, we know that
r = f(θ) which is defined as below
f(θ) = 4θ²Let's find the first derivative of r with respect to θ. We get
dr/dθ = d/dθ (4θ²)
=> 8θAt θ
= π/4,
dr/dθ
= 8(π/4)
= 2π We can find the slope of the tangent line as below
y/x = tan(θ)
=> y' / x' = slope of the tangent line
=> slope of the tangent line
= y' / x'At θ
= π/4, the point on the curve is (4(π/4)²,
π/4) = (π, π/4) Now, we know that
x = r cosθ and
y = r sinθ Differentiating both the above equations with respect to θ, we get
dx/dθ = cosθ(-4θsinθ) + r cosθ
= -4θsinθcosθ + 4θ²cosθ
dy/dθ = sinθ(4θcosθ) + r sinθ
= 4θsin²θ + 4θ²sinθAt
θ = π/4, we have
dx/dθ = -2√2 and
dy/dθ = 2√2 Hence, slope of the
tangent line = dy/dθ / dx/dθ
= (2√2) / (-2√2)
= -1. So, slope of the tangent line at
θ = π/4 is -8. Therefore, the correct answer is -8.
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jeff's golf score was 5 strokes less than mikes golf score. mikes score was 2 strokes more than sams. if sams score relatives to par was 2, what was jeff's golf score
Answers
Jeff's golf score was 1 stroke under par.
Let's first find out what was Mike's golf score.
We know that Mike's score was 2 strokes more than Sam's score, so if Sam's score was 2 over par, then Mike's score must have been:
2 + 2 = 4 over par
We also know that Jeff's score was 5 strokes less than Mike's score. Therefore, Jeff's score relative to par would be:
4 + (-5) = -1 over par
So Jeff's golf score was 1 stroke under par.
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A girl is snorkeling 1 meter below sea level and then dives down another 1.5 meters. How far below sea level is the girl? The girl is meters below sea level.
Answers
Answer:
The girl is 2.5 meters below sea level
Step-by-step explanation:
We are told in the question that:
A girl is snorkeling 1 meter below sea level
Hence, her elevation in meters below the sea level = -1m
We are told in the question that:
She then dives down another 1.5 meters
Once again: Her elevation in meters below the sea level = -1.5m
How far below sea level is the girl?
This is calculated as:
-1 m + -1.5m
= -1m - 1.5m
= -2.5m
Therefore, the girl is 2.5 meters below sea level
Aiden bought 2 iPads for a total of $480. At this rate, what is the cost of 3 iPads?
Answers
Answer:
The cost of three would be $720.
Step-by-step explanation:
First you need to divide 480 by 2 which gives you 240. 240 is the cost of one iPad so 240 times 3 is 720.
Answer:
$720.Step-by-step explanation:
Karleebordelon6 has a wonderful answer, but I will provide a slightly different approach.
This can be solved by using proportions.
Take a look:
\(\frac{2 (ipads)}{480 (dollars)} =\frac{3 (ipads)}{x}\)
After setting up the proportion, we can cross multiply.
\(480 * 3 = 1440\\\)
\(2 *x = 2x\)
Lastly, divide both products.
\(2x = 1440\)
\(1440/2 = 720\)
Therefore, the total cost of 3 iPads is $720.
In other words, x = 720.
\(\frac{2(ipads)}{480(dollars)} =\frac{3( ipads)}{720(dollars)}\)
2 c −3 d 6 tart fraction, c, divided by, 2, end fraction, minu, 3, plu, tart fraction, 6, divided by, d, end fraction when c=14c=14c, equal, 14 and d=3d=3
Answers
2/5th of a number is 40% of that number.
In order to calculate the percentage of a given number that is equal to 2/5 of that number, we must first convert the fraction to percentage form, which is as follows:
= 2/3 * 100
= 0.4 * 100
= 40%
We will use the following example to validate the aforementioned process:
Assume that it is 50.
First, 2/5 of 50 equals 2/5 * 50, or 20.
Second, 40% of 50 equals 40/100 * 50 = 0.4 * 50 = 20.
The equality of the two results is evident.
2/5 of a number is therefore 40% of that number.
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The question is incomplete;
\dfrac25 start fraction, 2, divided by, 5, end fraction of a number is what percentage of that number?
what is 500/465 please
Answers
Answer:
1.075
in fraction form 100/93 but they are both equivalent
Step-by-step explanation:
Answer:
100/93
Step-by-step explanation:
decimal form- 1.075
mixed number- 1
7/93
HeLP WHO EVER IS CORRECT GETS BRAINLY
What is the solution of the equation?
6(y + 2) + 4 = 40
a.) 8
b.) –8
c.) 4
d.) 3
Answers
Answer: c.) 4
Step-by-step explanation:
y = 4
Plug in 4 for y.
6(4 + 2) + 4 = 40
24 + 12 + 4 = 40
40 = 40
)
+
4
=
4
0
6
(
y
+
2
)
+
4
=
40
6(y+2)+4=40
6
+
1
2
+
4
=
4
0
6
y
+
12
+
4
=
40
6y+12+4=40
2
Add the numbers
6
+
1
2
+
4
=
4
0
6
y
+
12
+
4
=
40
6y+12+4=40
6
+
1
6
=
4
0
6
y
+
16
=
40
6y+16=40
3
Subtract
1
6
16
16
from both sides of the equation
6
+
1
6
=
4
0
6
y
+
16
=
40
6y+16=40
6
+
1
6
−
1
6
=
4
0
−
1
6
6
y
+
16
−
16
=
40
−
16
6y+16−16=40−16
4
Simplify
Subtract the numbers
Subtract the numbers
6
=
2
4
6
y
=
24
6y=24
5
Divide both sides of the equation by the same term
6
=
2
4
6
y
=
24
6y=24
6
6
=
2
4
6
6
y
6
=
24
6
66y=624
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
4
BRAINLIEST.... PLS ASAP
Answers
The ratio of the shadow of the building to the building's height is 34 meters / 204 meters = 1/6.
We can set up the following proportion to find the length of the shadow of the tree:
(shadow of the tree) / (height of the tree) = (shadow of the building) / (height of the building)
Solving for the shadow of the tree, we get:
(shadow of the tree) = (shadow of the building) * (height of the tree) / (height of the building)
Substituting in the values we know, we get:
(shadow of the tree) = 34 meters * 12 meters / 204 meters
Simplifying, we get:
(shadow of the tree) = 8.16 meters
So the shadow of the tree is approximately 8.16 meters long.
Solve the equation 4y + 7x= -3 for y. o y = 28x - 12 о у X 4. 3 4 o ya -X y=-12 – 28x
Answers
Answer:
\( {}^{6} \sqrt{3a} = {}^{6} \sqrt{3a} \\ {}^{3} \sqrt{5a} = {}^{6} \sqrt{5 {}^{2} } a {}^{2} = {}^{6} \sqrt{25} \\ \sqrt{za} = {}^{6} \sqrt{2 {}^{3} } a {}^{3} = {}^{6} \sqrt{8a {}^{3} } \)
Salu2
I need help on part b
Answers
Answer:
a) The pattern 6 has 26 sticks,b) The pattern number n has 4n + 2 sticks.--------------------------
If we put the number of sticks in a sequence we get:
6, 10, 14, ...As we see the difference of the terms is common and is 4, and the first term is 6. It is therefore an arithmetic progression with:
a = 6 and d = 4Use the nth term equation:
a(n) = a + (n - 1)dPart a)Substitute n = 6 to find the number of sticks of the 6th term:
a(6) = 6 + (6 - 1)*4 = 6 + 5*4 = 6 + 20 = 26Part b)Find the nth term:
a(n) = 6 + (n - 1)*4 = 6 + 4n - 4 = 4n + 2Given the regression equation y-hat = 15.6 - 3.8x, the predicted y for x = 3 is ___________.
Answers
Work Shown:
y = 15.6 - 3.8x
y = 15.6 - 3.8*3
y = 4.2
Starting with $5,000, you invest in an account that pays 2% APR, compounded quarterly, and plan to leave the money there and not touch it for at least 12 years. How much MORE money would you have after 12 years if the interest had been compounded continuously instead? Round to the nearest cent.
Answers
Answer:
$1,352.5
Step-by-step explanation:
A=p(1+r/n)^nt
Where,
P=principal
r=interest rate
n=no of periods
t=time
P=$5,000
r=2%
n=4
t=12
A=5000(1+0.02/4)^4*12
=5000(1+0.005)^48
=5000(1.005)^48
=5000(1.2705)
=$6,352.5
How much more money after 12 years
=$6,352.5-$5000
=$1,352.5
What is the equation of the line that passes through the point (−4, 8)
and has a slope of zero?
Answers
Answer:
y=8
Step-by-step explanation:
Slope-intercept form
y=mx+b
Plug in values
y=0x+b
8=0(-4)+b
b=8
substitute
y=8
Identify the parent function.
Answers
Answer:
Reciprocal
Step-by-step explanation: