Answer:
x = -12
Step-by-step explanation:
Step 1: Subtract 2x from both sides
2x + 10 = -14
Step 2: Subtract 10 from both sides
2x = -24
Step 3: Divide both sides by 2
x = -12
Answer:
x = -12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The figure shows the cross section of a tunnel which was
dug through a mountain. Rectangle MNPQ is 40 feet by
20 feet. Arc NOP is a semicircle.
O
N
-P
M
Q
If the length of the tunnel is 1050 feet, find the volume of
dirt and rock that was dug out to create the tunnel. (Round
answer to the nearest 100.000 cubic feet.)
This is the same as 1.5 million cubic feet
======================================================
Work Shown:
area of rectangle = length*width
area of rectangle = 40*20
area of rectangle = 800 square feet
area of semicircle = 0.5*(area of circle)
area of semicircle = 0.5*pi*r^2
area of semicircle = 0.5*pi*20^2
area of semicircle = 200*pi .... exact area
total area = (rectangle area) + (semicircle area)
total area = 800 + 200pi
total area = 1428.31853 approximately
-----------------
Multiply this with the length of the tunnel to get the volume
volume of tunnel = (cross sectional area)*(length of tunnel)
volume of tunnel = 1428.31853*1050
volume of tunnel = 1,499,734.4565
Rounding to the nearest 100,000 cubic feet, we get roughly 1,500,000 cubic feet as the approximate volume.
The box-and-whisker plots below represent the scores for two basketball teams throughout an entire season of games. Which of the two teams had the highest score in a single game?
Answer:
90
Step-by-step explanation:
*One half of two fifths of x.
We can see this by looking at the max value of the bottom box plot. This is the tip of the whisker on the right. This value (115) is larger than the corresponding max for the Gophers (110).
There are two right circular cylinders. The radius of the first cylinder is 4 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 12 centimeters, and its height is also 5 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 3:1 B. 5:1 C. 6:1 D. 9:1
Answer:
D. 9:1
Step-by-step explanation:
The formula for the volume of a cylinder is πr² · h (pi · radius² · height) (use 3.14 for pi).
The two right circular cylinders have the same height. The larger cylinder has a radius that is three times the size of the smaller radius.
4 · 3 = 12
However, in the equation for volume, the radius is squared. Because of this, the larger cylinder is 9 times the size of the smaller cylinder because 3² = 9.
You can check your work by finding the volume of the two cylinders using the volume formula πr² · h:
3.14 · 4² · 5 = 251.2
3.14 · 12² · 5 = 2,260.8
The cylinder with a radius of 12 cm is 9 times the size of the cylinder with a radius of 4 cm.
2.260.8 ÷ 9 = 251.2
Answer:
252.1
Step-by-step explanation:
PLEASE HELP! ILL REWARD BRAINLIEST
Please take a look at this picture. The intersection point is at (2, 0)
If you need help with graphing, you can use the Desmos graphing calculator.
Hope I helped!
Answer: (2,0)
Step-by-step explanation:
Help Please I'm Out Of Time ;(
Evaluate 2y² + y² / 3 for x = 1.5 and y = 3.
Show all of your work.
Answer: 6.25 IF my assumption is correct about the missing x!
The Other way around: 4.5 with 2x² + y² / 3
Step-by-step explanation: 2y² + y² / 3 assuming the 2nd y should have been x, 1st y is y, and all divided by 3
2(3)² + (1.5)² / 3
2(9) + 2.25 /3
18 + 2.25 /3
20.25/3
6.25
Edited to correct!________ OR 2y² + y² / 3 assuming the 1st y should have been x, 2nd y is y, and all divided by 3
2(1.5)² + (3)² / 3
2(2.25) + 9 / 3
4.5 + 9 /3
13.5 /3
4.5
Answer:
[tex]\frac{13.5}{3}[/tex]
Step-by-step explanation:
=> [tex]2x^2+y^2/3[/tex]
Where x = 1.5, y = 3
=> 2(1.5)²+(3)² / 3
=> 2(2.25)+9 / 3
=> 4.5 + 9 / 3
=> 13.5 / 3
=> [tex]\frac{13.5}{3}[/tex]
Bob traveled 90 miles which was 83 1 3 % of his entire trip. How many miles did he have left?
Answer:
Bob has 18 more miles to go
Step-by-step explanation:
90 ÷ 83 1/3 • 100 = 108
108 - 90 = 18
18 miles
match the like terms from 6xy to 14xy -3y^2 5x^2 -12x^2 -6 11 4xy^3 8xy^3 15y^2
5. Which model is most appropriate for the data shown in the graph below?
Hey there! :)
Answer:
Exponential.
Step-by-step explanation:
Exponential is the best choice because the graph is increasing geometrically. This means that the parent function of the equation looks like this:
[tex]f(x) = a(b)^{x}[/tex]
The shape of this equation will resemble an curve that has a horizontal asymptote that the graph will not intersect.
We can also narrow down each choice:
a) Quadratic. Incorrect because the graph pictured is not a parabola.
b) Linear. Incorrect because the rate of change is not constant, and the graph is not a straight line.
c) Most probable answer.
d) Incorrect.
helllp me im am not smart
Answer:
last one
Step-by-step explanation:
"no more than" indicates that we need to use the sign ≤, which eliminates the first and third options. The expression we can use to calculate her cost is 2s + 5 so the answer is 2s + 5 ≤ 40.
Answer:
the 4th one, 2s + 5 ≤ 40
Step-by-step explanation:
Fill in the missing values in the pattern:
-7, , 3, , 13,...
Answer:
-2 and 8.
Step-by-step explanation:
The difference between 3 and -7 = 3 - -7 = 10
and between 13 and 3 = 10 also.
So the missing 2 numbers are -5 + 5 = -2
and 3 + 5 = 8 so the pattern is
-7, -2, 3, 8, 13 where the common difference is 5.
can anyone help me with these questions
Answer:
1. 31.14
2. 46
Step-by-step explanation:
1. Using order of operations, we first simplify what's in the parentheses, so we do 4.1-(-6.2), or 4.1+6.2. This gives us -5+3.8(10.3). Next is multiplication, so we do 3.8(10.3), which gets us to -5+39.14. Lastly, we add, to get 31.14.
2. First, we solve in the parentheses. Within the parentheses, we do multiplication first, so we first do 3*-2, to get us 8-4(-6+(-13))÷2. Then, we solve inside the parentheses, so we do -6+(-13), to get 8-4(-19) ÷2.
Next, since multiplication and division are on the same level, we go from left to right, so we do -4*-19 first, to get 8+76÷2. Now we do division, to get 8+38. Lastly, we add, to get 46.
Answer:
9) 34.14
10) 46
Step-by-step explanation:
What is 30x > 1,470 + 150? HELP PLEASE ASAP
Answer:
30x > 1470 + 150
30x > 1620
x > 54
Answer:
[tex]\huge\boxed{x>54\to x\in(54;\ \infty)}[/tex]
Step-by-step explanation:
[tex]30x>1,470+150\\\\30x>1,620\qquad\text{divide both sides by 30}\\\\\dfrac{30x}{30}>\dfrac{1,620}{30}\\\\x>54[/tex]
What transformations were applied to ABC to obtain A'B'C'?
A. rotate 180 degrees counterclockwise, then shift 3 units down
B. rotate 270 degrees counterclockwise, then shift 3 units down
c. rotate 180 degrees counterclockwise, then shift 3 units up
D. rotate 270 degrees counterclockwise, then shift 3 units up
O
The required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.
What is the geometry across the coordinate plane transformation?Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry.
Here,
In the graph, triangle ABC is transformed into triangle A'B'C' by a combination of rotation and translation. First, the triangle is rotated 270 degrees counterclockwise around the origin. Then, the resulting triangle is shifted 3 units down.
Thus, the required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.
Here's where you can find out more about transformation: brainly.com/question/18065245
#SPJ7
Fill in the blank with a number to make the expression a perfect square.
Answer:
16
Step-by-step explanation:
[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]
Answer:
Step-by-step explanation:
a² + 2ab +b² = (a+ b)²
w² - 8w + _?___
a = w
2ab = -8w
2*w*b = -8w
b = -8w/2w
b = 4
8w = 2 * 4*w
w² - 8w + 4² =w² -8w + 16
A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.
a) To the nearest minute, what is the half-life of the drug?
b)
Write an exponential model representing the amount of the drug remaining in the patient's
system after t hours. (2 points)
c)
Use your formula to find the amount of drug that would remain in the patient's system after 24
hours. Round your answer to the nearest hundredth of a gram. (2 points)
Answer:
a) half life is 3h 17 minutes
b) function of residue drug after t hours with initial quantity = 500 mg
f(t) = 500 (0.81^t)
c) drug left in patient's system after 24 hours
= 0.00 grams (to the hundredth of a gram.
Step-by-step explanation:
Given:
Drug initial active weight, A = 500 mg
Residue active weight, f(t) = A 0.81^t
t = time in hours.
a) half life
Half life is T, such that f(T) = 0.5A =>
0.5A = A(0.81^t)
0.81^t = 0.5
t*log(0.81) = log(0.5)
t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours
= 3 h 17.36 minutes
b) Equation of function of residue drug as a function of time t in hours
A=500 mg
f(t) = A(0.81^t) substitute A = 500 mg
= 500(0.81^t) mg
c) weight of residue drug after 24 hours to the hundredth of a gram.
t=24 hours
A=500
f(t) = 500(0.81^t) substitute t=24 hours
= 500(0.81^24)
= 3.181 mg
= 0.003181 g
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(31)(39) B) C) 562 = 392 – 2(39) ⋅ cos E D) 562 = 312 + 392 – 2(31)(39) ⋅ cos E
This question is incomplete because the options were not properly written.
Complete Question
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:
A) cos E = 31²+ 39² – 2(31)(39)
C) 56² = 39² – 2(39) ⋅ cos E
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Step-by-step explanation:
From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E
The formula for the Law of Cosines is given as:
c² = a² + b² − 2ab cos(C)
Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:
e² = d² + f² - 2df cos (E)
e = 56
d = 39
f = 31
56² = 39² + 31² - (2 × 39 × 31) × cos E
Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E
Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]
Step-by-step explanation:
Hello, I just took the exam got the answer correct
NEED HELP ASAP!! The dot plot below shows the drawing scores of some students: Which statement best describes the shape of the data? A. It is symmetric and has a peak at 3. B. It is symmetric and has a peak at 5. C. It is not symmetric and has a peak at 3. D. It is not symmetric and has a peak at 5.
Answer:
I believe the answer Is A
Step-by-step explanation:
If its asking for the shape, the peak would be three because it has the most variables in it which is also 3 variables
last algebra question if i get it correct
Answer:
(3, 0)
Step-by-step explanation:
Step 1: Find slope
m = (-48 + 64)/(-15 + 21)
m = 8/3
y = 8/3x + b
Step 2: Find b
-32 = 8/3(-9) + b
-32 = -24 + b
b = -8
Step 3: Write linear equation
y = 8/3x - 8
Step 4: Find x-intercept
0 = 8/3x - 8
8 = 8/3x
x = 3
Answer:
The correct answer is (3, 0)
Hope this help!
Choose the best answer that represents the property used to rewrite the expression.
log5 6 − log5 3 = log5 2
Answer:
The Quotient Property.
Step-by-step explanation:
Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.
You aren't multiplying anything, so you wouldn't use the Product Property.
You are not messing around with powers, so you wouldn't use the Power Property.
And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.
Hope this helps!
the value of c guaranteed to exist by the Mean Value Theorem for V(x) = x² in the interval [0, 3] is...? a) 1 b) 2 c) 3/2 d) 1/2 e) None of the above
Answer: c) [tex]\dfrac{3}{2}[/tex] .
Step-by-step explanation:
Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that
[tex]\begin{displaymath}f'(c) = \frac{f(b) - f(a)}{b-a} \cdot\end{displaymath}[/tex]
Given function : [tex]f(x) = x^2[/tex]
Interval : [0,3]
Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that
[tex]f'(c)=\dfrac{f(3)-f(0)}{3-0}\\\\=\dfrac{3^2-0^2}{3}=\dfrac{9}{3}\\\\=3[/tex]
[tex]\Rightarrow\ f'(c)=3\ \ \ ...(i)[/tex]
Since [tex]f'(x)=2x[/tex]
then, at x=c, [tex]f'(c)=2c\ \ \ ...(ii)[/tex]
From (i) and (ii), we have
[tex]2c=3\\\\\Rightarrow\ c=\dfrac{3}{2}[/tex]
Hence, the correct option is c) [tex]\dfrac{3}{2}[/tex] .
Subject algebra I just wanted to know if these are good if not please correct me
Answer:
Correct
Step-by-step explanation:
Everything seems correct. I would just put the two answers for questions 3 & 4 in the separate boxes, instead of having two answers in each box.
steve can run 3.5 miles in 30 minutes. if he increases his rate by 1/2 mile per hour, how far will he run in 2 hours?
Answer:
15 miles
Step-by-step explanation:
Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.
Answer:
15
Step-by-step explanation:
because its correct just did the thing.
Mary wants to fence in a rectangular run for her dogs. She has decided that the run will be 5 yards wide.
5 ya
Syd
Which statement best describes the possible lengths of the run if she can use no more than 40 yards of fencing?
at most 8 yards
at most 15 yards
more than 8 yards
more than 15 yards
Answer:
at most 8 yards is definitely the right answer
Step-by-step explanation:Your welcome
Answer:
the most 8 yards
Step-by-step explanation:
5(width) X 8(length) = 40(area)
A local newspaper was wondering if its average reader lived more than 25 miles from its headquarters. The newspaper surveyed its readers and received 10 responses. Using the results from the current survey and several previous surveys, the newspaper has decided to assume that the population standard deviation for the distance its readers live from its headquarters is 13.2 miles. The local newspaper conducts a one-mean hypothesis at the 5% significance level, to test if the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
(a) H0:μ=25; Ha:μ>25, which is a right-tailed test.
(b) z0=0.22, p-value is = 0.41.
(c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
We reject H0.
We fail to reject H0.
At the 5% significance level, the data provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Answer:
Step-by-step explanation:
From the information given,
For null hypothesis,
H0:μ=25
For alternative hypothesis,
Ha:μ > 25
It is a right-tailed test due to the inequality sign in the alternative hypothesis.
The decision rule would be to reject the null hypothesis if the significance level is greater than the p value.
Since the significance level, 0.05 is < p-value, 0.41, then we fail to reject H0. Therefore,
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
explain the words and the connections of population ,area, urban,and density
Step-by-step explanation:
1. Population Area: this can be defined as a group of similar species
inhabiting/ co-existing in a defined location or space
2. Urban population: urban areas are often more developed areas with greater population than rural environments
it's the people living in cities.
3. Population density: this is a measurement of population per unit area..
Consider the quadratic functions represented below. Function #1 Function #2 x y -1 14 -0 6 1 2 2 2 3 6 4 14 Which function has a greater minimum? Function # has a greater minimum. Function #3 has the equation, y = x 2 + 3x - 4. Complete the statement so that the minimums of the three functions are in order from least to greatest. # < #
Answer:
Function #2 has a greater minimum.
#3 < #1 < #2
Step-by-step explanation:
In the picture attached, the question is shown.
The minimum of Function #1 is located at (3, -1). This is seen in the picture.
The minimum of Function #2 is located at (1.5, 1). We can see in the table that the function is symmetric respect 1.5 (half-point between 1 and 2).
The function y = x² + 3x - 4 has its minimum at its vertex:
x-coordinate of vertex: x = -b/(2a) = -3/(2*1) = -1.5
y-coordinate of vertex: y = (-1.5)² + 3(-1.5) - 4 = -6.25
So, the minimum of Function #3 is located at (-1.5, -6.25)
Answer:
The other guy is right
Step-by-step explanation:
Help with this question(will gove thanks and brainlist)(Your suppose to determine the pattern and then fill in the 3 blanks)
Answer:
Step-by-step explanation
1. 8/9, 9/9, 10/9
2. 1/64, 1/128, 1/256
3. -39, -48, -57
Answer
8/9,1,1 1/9
1/64, 1/128, 1/256
Step-by-step explanation:
the second sequence you just add1\9 each time then the other one you just double the denominator.
Chicken is normally $2.15/ib.but if you purchase 26 pounds for $41.34,how much do u save per pound
A$0.19
B$0.26
C$0.56
D0.79
Step by step explanation
Answer:
C. $0.56
Step-by-step explanation:
26 x $2.15= $55.9
$55.9 - $41.34= $14.56
$14.56 / 26= $0.56
Answer:
You'd be saving $0.56 per pound of chicken.
Step-by-step explanation:
The regular price for 26 lb of chicken would be ($2.15/lb)(26 lb) = $55.90.
Subtracting $41.34 from that figure, we get $14.56.
Dividing that result by 26 lb results in $0.56.
You'd be saving $0.56 per pound of chicken.
What is the difference? x+5/x+2-x+1/x2+2x
Question
x+5/x+2 - x+1/x²+2x
Answer:
= (x² - 4x - 1)/[x (x+2)]
= (x² - 4x - 1)/[x² + 2x]
Step-by-step explanation:
x + 5/x + 2 - x + 1/x² + 2x
We factorise the second denominator to give us :
x + 5/x + 2 - x + 1/x(x + 2)
We find the L.C.M of both denominators which is x(x+2).
[x(x + 5)-(x + 1)] / (x (x + 2))
Expand the bracket
=[x² +5x - x -1] / [x (x + 2)]
=(x² - 4x - 1) / [x (x + 2)]
= (x² - 4x - 1)/ [x (x + 2)]
= (x² - 4x - 1) / [x² + 2x]
the amount of fluid that a three dimensional object can hold is called
Answer:
Volume
Step-by-step explanation:
Volume is the space of a three-dimensional object, that can hold an amount of fluid.
Answer:
The answer is the Capacity or volume.
Step-by-step explanation:
This is usually measured in the metric system using a basic unit.