(2x-7)/4=(x+3)/3
someone help me?
=
3
3
2
hope it's helpful for you
Answer:
x=33/2
Step-by-step explanation:
[tex]\frac{2x-7}{4}[/tex]=[tex]\frac{x+3}{3}[/tex]
do cross multiplication
4(x+3)=3(2x-7)
4x+12=6x-21
12+21=6x-4x
33=2x
33/2=x
Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.
Answer:
sylvia is 14 and brother is 7
Step-by-step explanation:
theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7
The function f (t) = 310(0.2)24t represents the change in a quantity over 7 days,
What does the constant 0.2 reveal about the rate of change of the quantity?
the rate percentage
Answer:
80% decrease in the quantity over 7 days
Step-by-step explanation:
Given data
We have the function
f (t) = 310(0.2)24
the above function is similar to the exponential function
f (t) = P(1±r)^t
Now the value 0.2
This means that there is 80% decrease in the quantity over 7 days
I got zero, but that’s wrong.
I multiplied-25,000 x 40% and 25,000 x 25% and 40,000 x 35%
They all were zero. Can you help me figure out where I went wrong?
Answer:
Expected value is 4,000
Step-by-step explanation:
To find expected value ⇒ multiply the value by it's probability
40% × ( -25,000 ) = - 10,000
Breaking means neither add nor subtract a given amount
20% × 0 = 0
35% × 40,000 = 14,000
∴ Expected value = -10,000 + 14,000 = 4,000
LOSS: -10,000
BREAK EVEN: 0
WIN: 14,000
Expected value is 4,000
hope this helps....
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Answer:
the answer is 31°...........
PLZ SOLVE. DONT BE WRONG PLEASEEEE I NEDD ED THIS
Answer:
288
Step-by-step explanation:
Take the area of every individual section, and add them together.
24
24
100
80
60
how do u solve this problem 1 1/4 x 42/3
Answer:
17.5
Step-by-step explanation:
{ 1 [tex]\frac{1}{4}[/tex] = 5/4 }
1 [tex]\frac{1}{4}[/tex] * 42/3 = 5/4 * 42/3
= 210/12
= 17.5
Calculate the standard deviation of the following data.
23, 19, 28, 30,22 Standard Deviation = 3.68
Standard Deviation = 8.12
Standard Deviation = 4.13
Standard Deviation = 4.03
The standard deviation of the data will be;
⇒ 4.13
What is Standard deviation?
Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The data set is,
⇒ 23, 19, 28, 30, 22
Now,
Since, The data set is,
⇒ 23, 19, 28, 30, 22
Hence, The mean = 23 + 19 + 28 + 30 + 22 / 5
= 122/5
= 24.4
So, The standard deviation is;
√ (23 - 24.4)² + (19 - 24.4)²+(28 - 24.4)² + (30 - 24.4)² + (22 - 24.4)²/ (5-1)
⇒ √ 1.96 + 29.16 + 12.96 + 31.36 + 5.76 / 4
⇒ √ 81.2/4
⇒ √20.3
⇒ 4.13
Thus, The standard deviation of the data will be;
⇒ 4.13
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To calculate the standard deviation of the data set, we can use the formula:
$$ \sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n} (x_i - \mu)^2} $$
Where:
$x_i$ is each data point
$\mu$ is the mean of the data set
$n$ is the number of data points
For the data set given, the mean is $\mu = 24.4$
Plugging in the values into the formula, we get:
$$ \sigma = \sqrt{\frac{1}{5}\sum_{i=1}^{5} (x_i - 24.4)^2} = \sqrt{\frac{1}{5}( (23-24.4)^2 + (19-24.4)^2 + (28-24.4)^2 + (30-24.4)^2 + (22-24.4)^2 )} $$
After evaluating the expression, we get:
$$ \sigma = \sqrt{\frac{1}{5}(1.96 + 5.76 + 3.36 + 5.76 + 0.36)} = \sqrt{\frac{1}{5}(18.2)} = \sqrt{3.64} = 1.91 $$
So the standard deviation of the data set is 1.91.
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∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Answer:
DEF = 110
Step-by-step explanation:
Supplementary angles add to 180
3x+5 +2x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x = 175
Divide each side by 5
5x/5 = 175/5
x =35
DEF = 3x+5
= 3*35 +5
= 105+5
= 110
According to a survey about 82% of a highly satisfied with their jobs at 45 engineers were surveyed how many reported that they were highly satisfied?
Factor using sum and product:
Answer:
[tex]x^4 - 1 = (x- 1)(x + 1)(x^2 + 1)[/tex]
[tex]2x^2 - 4x - 240 = 2(x + 10) (x - 12)[/tex]
Step-by-step explanation:
Given
[tex]1.\ x^4 - 1[/tex]
[tex]2.\ 2x^2 - 4x - 240[/tex]
Required
Factor
[tex]1.\ x^4 - 1[/tex]
Express as difference of two squares
[tex]x^4 - 1 = (x^2 - 1)(x^2 + 1)[/tex]
Express [tex]x^2 - 1[/tex] as difference of two squares
[tex]x^4 - 1 = (x- 1)(x + 1)(x^2 + 1)[/tex]
[tex]2.\ 2x^2 - 4x - 240[/tex]
Expand
[tex]2x^2 - 4x - 240 = 2x^2 -24x + 20x - 240[/tex]
Factorize
[tex]2x^2 - 4x - 240 = 2x(x -12) + 20(x - 12)[/tex]
Factor out x - 12
[tex]2x^2 - 4x - 240 = (2x + 20) (x - 12)[/tex]
Factor out 2
[tex]2x^2 - 4x - 240 = 2(x + 10) (x - 12)[/tex]
What is the solution to the equation below? Round your answer to two
decimal places.
ex = 7.9
The value of x will be 2.067.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ eˣ = 7.9
Now,
Since, The expression is,
⇒ eˣ = 7.9
Take natural log both side, we get;
⇒ ln eˣ = ln 7.9
⇒ x = ln 79 - ln 10
⇒ x = 4.369 - 2.302
⇒ x = 2.067
Thus, The value of x = 2.067
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For his long distance phone service, Keith pays a $5 monthly fee plus 9 cents per minute. Last month, Keith's long distance bill was $21.02. For how many
minutes was Keith billed?
Answer: 178 minutes
21.02 x 100 = 2102
2102 - 500 = 1602
1602 / 9 = 178
What is the value of log↓3 81? 2, 3, 4 or 5?
Answer:The value of log base 3 log base 2 log base √3 81 is -a)1 b) 2 c)3 d) 0
Answer:
4
Step-by-step explanation:
Define [tex]\log_a b=c\implies a^c=b[/tex].
Let
[tex]\log_3 81=x[/tex].
Using our definition [tex]\log_a b=c\implies a^c=b[/tex], we have:
[tex]3^x=81[/tex]
Solving for [tex]x[/tex]:
[tex]x=\boxed{4}\text{ from simply knowing that }3^4=81[/tex]
Or
Algebraically solve step-by-step by taking the log of both sides:
[tex]\log 3^x=\log 81[/tex]
Using log property [tex]\log a^b=b\log a[/tex], rewrite:
[tex]x\log 3=\log81[/tex]
Divide both sides by log(3):
[tex]x=\frac{\log 81}{\log 3}=\boxed{4}[/tex]
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
60 units
11 units
90 units
61 units
Answer:
90
Step-by-step explanation:
help me I got 25 missing assignments
Answer:
think it's the last one
Step-by-step explanation:
sorry if i'm wrong
Consider the graph of g(x) = –2x2 + 8x – 10. Identify the y-intercept, the vertex, and the zeros of the function.
Question 10 options:
A)
y-intercept: (0, 10); vertex: (–2, 2); zeros: none
B)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0) and (4,0)
C)
y-intercept: (0, –10); vertex: (2, –2); zeros: (0,0)
D)
y-intercept: (0, –10); vertex: (2, –2); zeros: none
9514 1404 393
Answer:
D) y-intercept: (0, -10); vertex: (2, -2); zeros: none
Step-by-step explanation:
The graph does not cross the x-axis, so there are no real zeros. It crosses the y-axis at (0, -10), so that is the y-intercept.
These observations match choice D.
find the slope of the line between (1,4) and ( 3 , 10 )
Answer:
3
Step-by-step explanation:
slope of line = gradient of line
= [tex]\frac{10-4}{3-1}[/tex]
= 3
What is the completely factored form of this expression? 9x^3y - 100xy
Answer:
xy(3x+10)(3x-10)
4 in.
7 in.
O 124 6 in
87.9 in
O 97.5 in
O 78.9 in
5
6
7
Answer:
v=3.14 r 2 h
3.14 (2)(2)(7)= 87.9
Answer:
The answer for the Volume is 87.9 to 1d.p or 88in³ to the nearest tenth
Step-by-step explanation:
Volume of a cylinder =pir²h
r=d/2=4/2=2in
V=3.14×2²×7
V=3.14×4×7
V=87.92in³
V=87.9in³ to 1d.p
V=88in³ to the nearest tenth
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport. What angle of depression does the airplane need to use to reach the runway?
Given :
An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.
To Find :
What angle of depression does the airplane need to use to reach the runway?
Solution :
Let, angle of depression is [tex]\theta[/tex] .
So,
[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]
Hence, this is the required solution.
Big math test I need help if I don’t I fail
How many different 4-digit PIN codes are there that only include the digits 5, 9, 6 and 2?
Answer:
256
Step-by-step explanation:
The digits can only be one of four numbers.
4*4*4*4 = 4^4 = 256
If point A, having
coordinates (p, 3) and
point B, with coordinates
(6, p) lie on a line having
a slope of 2, what is the
value of p?
gradient or slope=y2 -y1
x2 - x1
so for A, p is x1 and 3 is y1..
For B, 6 is x2 and p is y2
2= p - 3
6 - p
2 ( 6 - p) = p - 3
12 - 2p = p - 3
-2p + p = -3 - 12
-p = - 15
p = 15
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 23 f/s. The ball's height h (in feet) after t seconds is given by the following. Find all values of t for which the ball's height is 12 feet.
Answer:
Time taken = 0.85 and 0.59 (Approx.)
Step-by-step explanation:
Given:
Initial height = 4 feet
Initial upward velocity = 23 f/s
Equation;
h = 4 + 23t - 16t² for h = 12 feet
Find:
Time taken
Computation:
h = 4 + 23t - 16t² for h = 12 feet
12 = 4 + 23t - 16t²
16t² -23t + 8 = 0
t = [-b±√b²-4ac] / 2a
t = [23±√23²-(4)(16)(8)] / 2(16)
t = [23±√529-512] / 32
t = [23±4.12]/32
Time taken = 0.85 and 0.59 (Approx.)
What is the common ratio of the sequence −8, 12,−18, 27, ...
Answer:
-3/2
Step-by-step explanation: Divide 12 by 8 and you get 3/2. Since the sign alters, the ratio is negative.
Suppose the speeds of cars along a stretch of I-40 is normally distributed with a mean of 70 mph and standard deviation of 5 mph. Use the 68-95-99.7 rule to answer the following questions.
(a) Approximately what percent of cars are travelling between 65 and 75 mph? percent
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit? percent
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph? (Answer to one decimal place.)
(d) What percent of cars are traveling at a speed greater than 80 mph? (Answer to one decimal place.) percent
(e) 95% of cars are traveling between what two speeds? (Answer to two decimal places) Between mph and mph
Answer:
a) 68%.
b) 84%.
c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
e) Between 60 mph and 80 mph.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 70 mph, standard deviation of 5 mph.
(a) Approximately what percent of cars are travelling between 65 and 75 mph?
70 - 5 = 65
70 + 5 = 75
Within 1 standard deviation, so approximately 68%.
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?
The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.
65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.
0.68*50% + 50% = 34% + 50% = 84%.
84%.
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?
80 = 70 + 2*10
2 standard deviations above the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:
Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
(d) What percent of cars are traveling at a speed greater than 80 mph?
Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.
(e) 95% of cars are traveling between what two speeds?
Within two standard deviations of the mean.
70 - 2*5 = 60 mph
70 + 2*5 = 80 mph.
Between 60 mph and 80 mph.
Solve 3/4w≤24 Graph the solution
Answer:
w<32
Step-by-step explanation:
Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?
Answer:
Chase would be 24 years old
A planet rotates through one complete revolution every 26 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 26 hours. Find the angular velocity of a person standing on the equator.
Answer:
23.5 degree stands tap of the floor
