Answer: 14
Step-by-step explanation:
because 8 +4 is 14
c) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?
Answer:
1.8 hrs
Step-by-step explanation:
1.2 hr = 20 km/hr
A hr = 30 km/hr
(cross multiply)
30 x 1.2 = 20 x A
(30 x 1.2) / 20 = A
on simplifying...
1.8 = A
Therefore, it takes 1.8 hrs to travel 30 km/hr
[this is totally my method]
which statement is true about fiction
Answer:
The function is even because of symmetry over x axis
Which of the following describe an angle with a vertex at E.
Answer:
A and B are correct
Step-by-step explanation:
The middle letter represents the vertex of an angle. For instance, angle ABC has a vertex at B. Because the letter "e" is in the middle of angle FED and angle DEF, it represents the vertex of those angles. Hope this helps
Solve for h in A = ½ ah - ½ bh. Solve for h in A = ½ ah - ½ bh .
Answer:
h = A / ( 1/2 a - 1/2 b)
Step-by-step explanation:
A = ½ ah - ½ bh
Factor out an h
A = h( 1/2 a - 1/2 b)
Divide each side by ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h ( 1/2 a - 1/2 b)/ ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h
h = A / ( 1/2 a - 1/2 b)
What are the features of the quadratic function f(x)=(x-3)(x+7)?
Answer:
It's vertex (-2,-25)x-intercept x₁=-7,x₂=3y-intercept f(0)=-21domain,xER or x is an element of real numberit's neither even nor odd functionWrite an equation in slope intercept form with the given information.
Slope = 4 and goes through point (3,0)
Answer:
y = 4x - 12
Step-by-step explanation:
7. Ms. Vickory assigned the problem: 8/9-4/6. Three of her students' responses are below. Who completed the problem correctly? What common mistakes did the other two students make?
The three students
Sue- 8/9-4/6=4/3 or 1 1/3
Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9
Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27
Answer:
Jim: 2/9
Step-by-step explanation:
8/9-4/6
48/54-36/54 [Convert each fraction to a common denominator: 54
Multiply (8/9)*(6/6)=48/54; Multiply (4/6)*(9/9) = 36/54]
48/54-36/54 = 12/54
12/54 can be reduced to 2/9
Jim also has 2/9
Sue- 8/9-4/6=4/3 or 1 1/3: Sue subtracted both the numerator and denominator. This is not correct.
Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9: Good Job Jim
Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27: Bob converted both denominators to 54, but did not multiply the numerators by the same numbers. Bad Bob.
Select all the correct locations on the graph. Oliver is riding his bike to visit some friends. Every two minutes, he bikes 1,760 feet. Identify the pair of points you can use to create the line representing how far he has traveled in terms of time spent biking.Select all the correct locations on the graph. Oliver is riding his bike to visit some friends. Every two minutes, he bikes 1,760 feet. Identify the pair of points you can use to create the line representing how far he has traveled in terms of time spent biking.
Answer:
(0, 0) and (2, 1760)Step-by-step explanation:
Pretty sure that is the answer.
I need the answer too this fasttt.
Answer:
I'm pretty sure its a since if the exponints negite they drop the the bottom and non of the others look right
Hope This Helps!!!
Answer:
1/r^7 + 1/s^12
Step-by-step explanation:
See attached image.
HELP MEE ,25 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r
Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.
What is Binomial Distribution?
Binomial distribution is known to be a kind of probability distribution whos models or show the probability of getting one of two outcomes in any said number of points or parameters.
Note that:
5abc -2a² + 6abc
Add like terms
= 11abc - 2a²
5x³∙ 2x² -10x⁴ +3x⁵+ 3x∙(-2) x⁴
Simply
=5 . 2x³⁺² - -10x⁴ +3x⁵+ 3x∙ 2x⁴
=10x³⁺² -10x⁴ +3x⁵+ 3∙ 2xx⁴
= 7x⁵ + 10x⁴
(t+2)²-4t
Simply
= (t² + 2t.2 + 2²) - 4t
= (t² + 2t.2 + 4) - 4t
= t² + 4
The same applies for the rest. Therefore, one can say that Based on the four expressions written above (image attached) one can say that She is right about the remaining four expressions as they all can shown or expressed as binomials.
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Find all solutions of the equation in the interval [0, 2π).
Answer:
x=0
Step-by-step explanation:
[tex]4 \cos(x) = - \sin {}^{2} (x) + 1[/tex]
[tex]4 \cos(x) = 1 - \sin {}^{2} (x) [/tex]
[tex]4 \cos(x) = \cos {}^{2} (x) [/tex]
[tex]4 \cos(x) - \cos {}^{2} (x) = 0[/tex]
[tex] \cos(x) (4 - \cos(x) ) = 0[/tex]
[tex] \cos(x) = 0[/tex]
[tex]x = 0[/tex]
[tex]4 - \cos(x) = 0[/tex]
[tex] \cos(x) = 4[/tex]
There is no solution here because cosine is undefined it the range is not between -1 and 1 so the only answer is 0.
Mr Holmes paid a fixed charge of $125 plus $55 for each kwh of electricity used. how much did he pay for using 75 kwh if electricity?
An archaeologist in turkey discovers a spear head that contains 32% of its original amount of c-14
Answer:
that means that the new ones contains c-14*32/100
Hope This Helps!!!
18
1 point
The scatter plot shown below would best be modeled by a line of best fit.
True
False
G
0
The statement about using the line of best fit for the given scatter plot is; False
How to interpret a scatter plot?When we have a scatter plot, it is always best to look for the line of best fit or curve of best fit depending on the nature of the variation of the plotted points.
Now, from the scatter plot image attached, we can see that the points are already looking like a curved plot form and so what we will need her will be a curve of best fit and not a line of best fit plot and as such the statement about using a line of best fit plot is false.
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Blue Jays tickets cost too much! The good folks in charge of Toronto Baseball
have found that for every 50-cent decrease in the average ticket price, 300 extra
tickets will be sold. Right now, the average price of a ticket is $80, and they sell an
average of 30,000 tickets per game. The capacity of the Rogers Centre is 49,282.
Determine the optimal ticket price that maximizes revenue, the new number of
tickets sold, and the amount of extra revenue the Blue Jays will take in per game
when compared to the current revenue.
The optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.
What is the objective function?
The objective function is simply an equation that represents the goal production capability that relates to maximizing profits from manufacturing.
Current revenue;
⇒ 80 × 3000 = 240000
From the given condition the price decrease by 0.5 times. So that the ticket sold will be 300 times the cost. The inequality relationship is found as;
30000+300x 49282
x≤64
The revenue value is found as;
y = ( 80 - 0.5 x )(30000+300 x)
y=-150 x²+9000 x+2400000
The value of x is found as;
[tex]\rm x= \frac{9000}{150 \times 2 }\\\\ x=30[/tex]
Hence, the optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.
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Give the values of a, b, and c needed to write the equation's general form.
(x - 3)2 = 0
1. a = 1; b = -3; c = 0
2. a = 1; b = -6; c = -3
3. a = 1; b = -6; c = 9
The values of a, b, and c are needed to write the equation's general form will be a = 1; b = -3; c = 0.Option A is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
x²-3x=0
The quadratic equation in the form is;
ax² + bx + c = 0
On putting the values of the options one by one we will get the answer;
1 x²+(-3)x+0
x²-3x=0
Hence, option A is corect.
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5. The mapping f: xax² + bx + c defined on the set of real numbers is such that f(0) = -4,f(1)-1 and/(-1)= -5. Find a, b and c. 5 . The mapping f : xax² + bx + c defined on the set of real numbers is such that f ( 0 ) = -4 , f ( 1 ) -1 and / ( - 1 ) = -5 . Find a , b and c .
It looks like you're saying
[tex]f(x) = ax^2 + bx + c[/tex]
and you're asked to find [tex]a,b,c[/tex] given [tex]f(0)=-4[/tex], [tex]f(1)=-1[/tex], and [tex]f(-1)=-5[/tex].
Evaluate [tex]f[/tex] at the three given points:
[tex]x=0 \implies f(0) = \boxed{c = -4}[/tex]
[tex]x=1 \implies f(1) = -1 = a + b + c \implies a+b = 3[/tex]
[tex]x=-1 \implies f(-1) = -5 = a - b + c \implies a - b = -1[/tex]
[tex](a+b) + (a-b) = 3 + (-1) \implies 2a = 2 \implies \boxed{a=2}[/tex]
[tex]a-b = -1 \implies \boxed{b=3}[/tex]
and the mapping is [tex]f(x) = 2x^2 + 3x - 4[/tex].
Pls help i give 25 points
Answer:
[tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concrete
Step-by-step explanation:
Here we need to divide fractions.
Concrete made :
Tons of total sand / Tons used to make a ton of concrete[tex]\mathsf {4\frac{4}{5} \div \frac{3}{7} }[/tex][tex]\mathsf {\frac{24}{5} \div \frac{3}{7} }[/tex][tex]\mathsf {\frac{24}{5} \times \frac{7}{3} }[/tex][tex]\mathsf {\frac{56}{5}}[/tex][tex]\mathsf {11 \frac{1}{5} }[/tex] tons of concrete30.
10 cm
O
7 cm
10 cm
4 cm
How many triangles are needed to draw the net of this object?
There are two triangles in the figure(triangular prism) option third is correct.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.
The complete question is:
How many triangles are needed to draw the net of this object?
4321For the figure please refer to the attached picture.
As we can see in the figure we have given a triangular prism:
The triangular prism has two triangles.
A triangle for the base of the prism and a triangle for the top of the prism.
The lateral faces of the prism are rectangular.
Thus, there are two triangles in the figure(triangular prism) option third is correct.
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help me
A rectangle has a length of 10.3 centimeters and a width of 6.8 centimeters.
What is the area of this rectangle?
34.2 cm²
35.02 cm²
70.04 cm²
108.24 cm²
Answer:
70.04 cm²
Step-by-step explanation:
Area = base x height
10.3 x 6.8 = 70.04
Hope this helps :)
The line with equation y = mx + 3 intersects the line with equation 3x + 4y + 12 = 0 at the point (1, −15/4) Find the value of m.
The value of m will be; m = (-∞ , - 15/4) ∪ ( 1 , ∞ ).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given: line y = mx + 3 intersects the line 3x + 4y + 12 = 0 at two distinct points.
To find the set of values of m.
The system of equations are;
y = mx + 3
3x + 4y + 12 = 0
The intersection point are (1, −15/4)
So, the value of m will be
m = (-∞ , - 15/4) ∪ ( 1 , ∞ )
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Answer ASAP!
Consider right triangle DEF below.
I need to know which two answers to click. Thanks!
Answer:
A and D
Step-by-step explanation:
Since tangent is opposite/adjacent,
Tan 40 in this case would be x/3.8 (i used x because we don't know what the value is)
So, you set it up as an algebra problem
Tan40 = x/3.8
Multiply both sides by 3.8
3.8tan40 = x, Option A
And then, angle E is 50 degrees
So tan 50 = 3.8/x
Multiply both sides by x
tan50x = 3.8
Divide both sides by tan50
x= 3.8/tan50
So, A and D are both correct
Which of the following sets of ordered pairs represents a function?
{(-6,-1), (13,8), (1,6), (1,-10)}
{(10,5), (10,-5), (5,10), (5,-10)}
{(3,5), (-17,-5), (3,-5), (-17,5)}
{(10,5), (-10,-5), (5,10), (-5,-10)}
The set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function , Option D is the correct answer.
The correct option 4 is
{(10,5), (-10,-5), (5,10), (-5,-10)}
What is a Function ?A function is a law that states relation between a dependent variable and an independent variable .
For a data to satisfy being a function ,
For every individual value of x , there should be one value of y
If there are two values for a single x then the data set doesn't represent a function but it shows a relation.
For Option 1,2 and 3 , for the same value of x there are two values of y and in only the last set the value is different.
Therefore the set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function
Option D is the correct answer.
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Select the correct answer.
What is the solution for x in the equation?
4x-3+5=2x+7-8x
OA.x= -2
OB.x= 2
OC. = 1/2
OD.* = -1/2
[tex]\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+-3+5=2x+7+-8x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{(4x)+(-3+5)=(2x+-8)+(7) \ (Combine \ like \ terms) } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2+6x=-6x+7+6x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2=7 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2-2=7-2 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x=5 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{10x}{10}=\frac{5}{10} } \end{gathered}$}[/tex][tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{1}{2} } \end{gathered}$}}} \large\displaystyle\text{$\begin{gathered}\sf \ \ \to \ \ \boldsymbol{Answer} \end{gathered}$}[/tex]↓
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}[/tex]
[tex]\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
[tex]\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
[tex]\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]
Cancel 2
[tex]\sf{2-3+5=1+7-8\times\dfrac{8}{2} }[/tex]
[tex]\sf{2-3+5=1+7-\dfrac{8}{2} }[/tex]
[tex]\sf{2-3+5=1+7-4 }[/tex]
[tex]\sf{-1+5=1+7-4}[/tex]
[tex]\sf{4=1+7-4}[/tex]
[tex]\sf{4=8-4}[/tex]
[tex]\sf{4=4}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}[/tex]
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
What is the length of segment AB?
7
9
18
25
Answer:
Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.
Step-by-step explanation:
By lisa Simpson
Answer:
9
Step-by-step explanation:
What is -4(5x-3)+12 simplified
Answer:
20x+24Step-by-step explanation:
-4(5x-3)+12
-20x+12+12
20x+24
my answer is 20x+24.
The simplified form of the given expression -4(5x-3)+12 would be 20x+24.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given;
-4(5x-3)+12
Open the bracket
-20x+12+12
Solve the like terms;
20x+24
Hence, the simplified form of the given expression -4(5x-3)+12 would be 20x+24.
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HELP ANSWER FOR 30 POINTS
A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
Answer: 72 cubic inches
Step-by-step explanation:
The formula for the volume of a cone: [tex]\dfrac{1}{3}\pi r^{2}h[/tex]
Formula for the volume of a cylinder: [tex]\pi r^{2}h[/tex]
We are given that a cylinder should fit exactly inside the cone
Upon comparing the two equations above, we get:
[tex]$$Volume of cone = \dfrac{1}{3}\text{Volume of cylinder}[/tex]
Since we are given the volume of cone is 24 cubic inches, we can write down the below:
[tex]24 = \dfrac{1}{3}\text{Volume of cylinder }\\ \text{Volume of cylinder = 72 cubic inches}[/tex]
Therefore, we can conclude that if the volume of the cylinder is 72 cubic inches, then the cone with volume of 24 cubic inches can fit exactly in.
Answer:
[tex]V_{cylinder}=72\:in^3[/tex]
Step-by-step explanation:
[tex]V_{cone}=24\: in^3[/tex] (Given)It is given that: Cone fits exactly inside the cylinder.[tex]\implies V_{cylinder}=3*V_{cone}[/tex][tex]\implies V_{cylinder}=3*24[/tex][tex]\implies V_{cylinder}=72\:in^3[/tex]Work out the volume of the cone, giving your answer
to 3 significant figures.
7 cm
24 cm
25 cm
= πr²h |
Volume of cone =
cm³
Answer: 1230
Step-by-step explanation:
[tex]V=\frac{1}{3}(\pi)(r^{2)h=\frac{1}{3}(\pi)(7^{2})(24) \approx \boxed{1230 \text{ cm}^{3}}[/tex]
Randy and trey take turns cleaning offices on the weekends. it takes randy at most 4 hours to clean the offices. it takes trey at most 6 hours to clean the offices. what is the greatest amount of time it would take them to clean the offices together?
Answer:
2.4 hours
Step-by-step explanation:
Because 1 hour Randy clean 1/4 of the room and Trey is 1/6. So we add both together and get that they clean 5/12 of the office in one hour. So 2.4 hours is the greatest amount of time it would take them to clean offices together
hey! Solving linear equations with integers! i don’t think it should be that hard since it’s practice, I just need some help with a bit more problems! :’)
1) -3 ( 3 - x ) = 2x + 5
2) -6 - 9p = + 3p
3) -5 (-4 - a ) = 3a + 8
4) s - 6 = -5s
that should be it! Ty
Solution 1 :-
>> -3 (3 - x) = 2x + 5
>> -3 × (3 - x) = 2x + 5
>> -9 + 3x = 2x + 5
>> 3x - 2x = 9 + 5
>> x = 14
Solution 2 :-
>> -6 - 9p = 3p
>> -9p - 3p = 6
>> -12p = 6
>> p = -1/2
Solution 3 :-
>> -5 (-4 - a) = 3a + 8
>> -5 × (-4 - a) = 3a + 8
>> 20 + 5a = 3a + 8
>> 5a - 3a = 8 - 20
>> 2a = -12
>> a = -12 / 2
>> a = -6
Solution 4 :-
>> s - 6 = -5s
>> s + 5s = 6
>> 6s = 6
>> s = 6 / 6
>> s = 1
Answer:
1) x = 14
2) p = - [tex]\frac{1}{2}[/tex] (- 1/2)
3) a = -6
4) s = 1
work shown in image :)
hope this helps!!