Answer:
126 cubic cm
Step-by-step explanation:
6 x 7 x 2 = 84
2 x 3 x 7 = 42
84 + 42 = 126
(i separated the shape to two rectangular prisms)
The line represented by y = 3x − 2 and a line perpendicular to it intersect at R(3, 7). What is the equation of the perpendicular line? y = − negative start fraction one over three end fractionx + 4 y = − negative start fraction one over three end fractionx + 8 y = start fraction one over three end fractionx + 6 y = −3x + 7
Answer:
y= -1/3(x) + 8
Step-by-step explanation:
slope of the 1st line = 3
slope of the line perpendicular to the first is its opposite reciprocal, so
slope of the 2nd line = -1/3
now we have a point and the slope of the perpendicular line, so we use the point slope formula to get:
y-7=-1/3(x-3)
y= -1/3(x) + 1 + 7
y= -1/3(x) + 8
there are 12 space suits that fit into one box. how many are needed for 2400 space suits
Answer:
200 boxes
Step-by-step explanation:
We can use ratios to solve
12 suits 2400 suits
------------ = ------------
1 box x boxes
Using cross products
12x = 1*2400
12x = 2400
Divide by 12
12x/12 = 2400/12
x =200
We need 200 boxes
Answer:
200
Step-by-step explanation:
1 box = 12
Box? = 2400.
DIVIDE
Sqrt 15(3+5) = Sqrt3+ sqrt 5
Answer:
False
Step-by-step explanation:
Assuming a and b are 2 different terms,
Sqrt a + Sqrt b is not equal to Sqrt (a * b).
The only way to obtain Sqrt (a * b) is by doing the following:
Sqrt (a * b) = Sqrt (a) * Sqrt (b)
calculate the circumference of a circle with a radius of 7.5. show or explain your reasoning.
what is the slope of a line perpendicular to 3x+2y = 7?
Answer:
2/3
Step-by-step explanation:
First find the slope of the line
3x+2y = 7
Subtract 3x
2y = -3x+7
Divide by 2
y = -3/2x +7/2
This is in slope intercept form y = mx+b where m is the slope
The slope is -3/2
A line perpendicular is the negative reciprocal
-1/(-3/2)
2/3
The slope of the perpendicular line is 2/3
Answer:
Slope of the line perpendicular to the given line = 2/3
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
That is,
[tex]slope_{1} \times slope _ 2 = - 1\\[/tex]
Given equation of the line :
3x + 2y = 7
2y = - 3x + 7
[tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]
[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]
Find slope of the line perpendicular to the given line:
[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]
How many different codes of 6 digits are possible if the first digit must be 3, 4, 5, or 6 and if the code may not end in 0? Hint: think of positions.
Answer:
360000 possible codes
Step-by-step explanation:
The first digit can only be one of four things and the last digit can't be zero.
4*10*10*10*10*9=360000
Determine if the type of sequence of the following terms.
2, 5, 10, 17, 26, 37,
...
O Arithmetic
O Polynomial
O Neither
O Geometric
Question
Answer:
B: polynomial
Step-by-step explanation:
The sequence given is;
2, 5, 10, 17, 26, 37,...
From this sequence, the first difference between consecutive terms is respectively;
3, 5, 7, 9, 11...
We can see that the differences gotten are not constant.
Now, let's find the second difference between the consecutive first differences respectively;
2, 2, 2, 2...
This second difference is constant and thus we can say that the terms form a quadratic sequence of the form;
f(x) = an² + bx + c
Where the quadratic coefficient is two times the second difference.
Thus;
2a = 2
a = 1
And where c is the 0th term.
Thus, this is a quadratic sequence. Since quadratic functions are 2nd degree polynomials, then this is said to be a polynomial sequence.
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Dakota's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 4 dollars per pound. Dakota has 100 dollars in his wallet.
Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Dakota purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y. Express your answer with the standard form ax+by on the left side.
The budget inequality is _________________________
Answer: 5x + 4y ≤ 100
Step-by-step explanation:
x = amount of ice cream($5 each)y = amount of pickles($4 each)5x + 4y ≤ 100
It has to be ≤ 100 because the dude only has $100 and can't exceed that.
which of the following is the horizontal asymptote for the graph below?
A. x = 0
B. y = 0
C. y= -7
D. x = -7
The horizontal asymptote for the graph at y = -7.
What is a horizontal asymptote?A horizontal asymptote exists as a horizontal line that exists not in the region of a graph of a function while directing it for x-values. “far” to the right and/or “far” to the left. The graph may cross it but ultimately, for big adequately or small.
By definition, when we say asymptote, this exists a line that the graph of a function comes but never connects. A horizontal asymptote exists the y-value on a graph which a function approaches but never connects. Horizontal asymptotes exist approached by the curve of a function as x proceeds towards infinity.
Therefore, the correct answer is option C. y = -7
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Find the value of unknown angles.
Х
50
Answer:
[tex]x = 70^o[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To solve for x, we make use of:
[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle
[tex]x + 110^o = 180^o[/tex]
Collect like terms
[tex]x = 180^o-110^o[/tex]
[tex]x = 70^o[/tex]
Help! Me solve this problem please
Answer: 2 1/4
Step-by-step explanation:
You choose a marble at random from a bag contains 12 red 10 blue 5 green 4 yellow and 29 black marbles. The marble is red.
Step-by-step explanation:
P(red) = 12/(12+10+5+4+29)
= 12/60
= 1/5
= 0.2
= 20%
Which equation can be used to solve for x?
A. sin (x) =
30
18
B. cos (x)
30
24
C. cos (x)
24
30
D.
tan (x)
24
18
NÉED HELP ASAP PLEASE check the picture
Answer:
[tex] \cos(x) = \frac{24}{30} [/tex]
OPTION C
The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 6. Find the probability that less than 3 road construction projects are currently taking place in this city.a) 0.050409b) 0.089235c) 0.301168d) 0.014936
Answer:
The probability that less than 3 road construction projects are currently taking place in this city is 0.06197
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson distribution with a mean of 6.
This means that [tex]\mu = 6[/tex]
Find the probability that less than 3 road construction projects are currently taking place in this city.
This is:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]
The probability that less than 3 road construction projects are currently taking place in this city is 0.06197
What is the domain of the square root function graphed below? 6 4 wo -6. -2 4 4 6. X 12 L6 O x2-4 O x>-4 O X20 Ox>0
The domain of the square root function graphed is,
⇒ x ≥ 0
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).
We have to given that;
The square root function are graphed below in figure.
Now, We know that;
The set of all inputs of the function is called Domain of set.
Hence, By definition of domain of function, we get;
The domain of the square root function graphed is,
⇒ x ≥ 0
Thus, The domain of the square root function graphed is,
⇒ x ≥ 0
Learn more about the function visit:
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Complete question is shown in figure.
Can someone please help me here ...??
9514 1404 393
Answer:
(c) 1/3 of 8 cups
Step-by-step explanation:
When the 8 cups of flour are divided evenly into 3 parts, each part is ...
1/3 of 8 cups of flour
Find the perimeter of the figure below, in meters.
2.7 m
2.7 m
*4m
Answer:
31.8 m
Step-by-step explanation: 6 5 17 26
add up all the lengths to find the perimeter
or sum the multiplication of the common lengths
P = 6 × 4.4 m + 2 × 2.7 m
= 26.4 m + 5.4 m
= 31.8 m
PLEASE HELP ASAP !!!!!!!!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore ! ☂
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Add.
2
1
3x² - 4x-4
3x² +8x+4
+.
Simplify your answer as much as possible.
NO LINKS please and thank you
Answer:
6x²+4x
Step-by-step explanation:
The given expressions are 3x²- 4x-4 and 3x²+8x+4.
We need to add these two expressions.
3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4
= 6x²+4x
On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x
- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
Help please thank you very much
Answer: [tex]2\sqrt{7}[/tex]
When writing this on a keyboard, you would say 2*sqrt(7)
========================================================
Explanation:
The formula we'll use is
A = 0.5*p*q*sin(R)
where R is the angle between sides p and q.
The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.
Plug in the given values and simplify to get the following
A = 0.5*p*q*sin(R)
A = 0.5*(x+4)*x*sin(60)
A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle
A = 0.25*(x^2+4x)*sqrt(3)
A = (0.25x^2+x)*sqrt(3)
Set this equal to the given area of A = sqrt(27) and solve for x
A = (0.25x^2+x)*sqrt(3)
(0.25x^2+x)*sqrt(3) = A
(0.25x^2+x)*sqrt(3) = sqrt(27)
(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom
0.25x^2+x = 3
(1/4)x^2+x = 3
x^2+4x = 12 .... see note2 at the very bottom
x^2+4x-12 = 0
(x+6)(x-2) = 0
x+6 = 0 or x-2 = 0
x = -6 or x = 2
A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.
Since x = 2, this means we have the following side lengths so far
p = RQ = x+4 = 2+4 = 6q = PR = x = 2Now apply the law of cosines to find the missing side.
r^2 = p^2 + q^2 - 2*p*q*cos(R)
r^2 = 6^2 + 2^2 - 2*6*2*cos(60)
r^2 = 36 + 4 - 24*1/2
r^2 = 40 - 12
r^2 = 28
r = sqrt(28)
r = sqrt(4*7)
r = 2*sqrt(7)
Side PQ is exactly 2*sqrt(7) units long
This approximates to 2*sqrt(7) = 5.2915
------------------------------------
Footnotes:
Note1: sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3*sqrt(3)Note2: I multiplied both sides by 4 to clear out the fraction13/10+2/100=?/100 do you guys know what it os
Answer:
132/100 or 1.32
Step-by-step explanation:
13/10=130/100
130/100+2/100=132/100
Answer:
132
Step-by-step explanation:
13/10+2/100=?/100
Get a common denominator of 100 for the first term
13/10 * (10/10) +2/100=?/100
130/100 + 2/100 = ?/100
132/100 = ? /100
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results: Day Mon Tue Wed Thu Fri Sat Sun # of sick days 22 11 16 17 21 28 25 They want to perform a x? goodness-of-fit test to determine if these results suggest that employees were more likely to take sick days on certain days. What is the expected count of sick days taken on Saturday? You may round your answer to the nearest hundredth. Expected:
Answer:
0.2
Step-by-step explanation:
Given the data :
Day : Mon Tue Wed Thu Fri Sat Sun
# of sick days 22 11 16 17 21 28 25
The expected count of sick days taken on Saturday is obtained thus :
Expected count = (row total * column total) / overall total
Here, the table is just one way :
Hence, we use :
Observed value / total days
Hence,
Expected count on Saturday = sick days on Saturday / total sick days
Expected count on Saturday = 28 / (22+11+16+17+21+28+25)
Expected count on Saturday = 28 / 140
= 0.2
Answer:
20
Step-by-step explanation:
The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?
1) 0.0043
2) 0.0914
3) 0.0086
4) 0.0765
5) 0.0466
Answer:
2) 0.0914
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.
This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What would be the margin error for this confidence interval?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]
[tex]M = 0.0914[/tex]
Thus the margin of error is 0.0914, option 2).
List the domain and range for the relation below: (The picture is down below)
No links or I will report
Answer:
I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.
Hope I helped :)
Find the slope of the line and sketch its graph y=3
Answer:
0
Step-by-step explanation:
The slope is 0 as there is no x variable within the equation.
recall y=mx+c where m is the slope. y=3 so we are only given the y intercept.
to graph this simply draw a horizontl line that crosses (0,3).
I need help with this math problem please
Answer:
C) 3(x+7)²
Step-by-step explanation:
Answer:
A) (3x + 21)(x + 7)
Step-by-step explanation:
If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...
[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]
Therefore the answer is A)
A survey asked buyers whether color, size, or brand influence their choice of cell phone. The results are below. How many people were influenced by brand
Answer:
wheres the photo
Step-by-step explanation:
can anyone help me with dis
Answer:
Slope is 2.
Step-by-step explanation:
So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:
Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]
Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]
Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]
So lets start by doing step one.
All we need is to look for two x values. Lets use 5 and 6:
6-5=1
So 1 is our change of x. This is our 1st step.
Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:
-1-(-3) = 2
So 2 is our change in y. This is our 2nd step.
Now lets plug this into:
[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:
[tex]\frac{2}{1} = 2[/tex]
So our slope is 2. Completing our 3rd and final step.
Hope this helps!
at davidson's bike rentals it cost $42 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
3/14 of an hour
Step-by-step explanation:
9 hours/42 dollars
