Answer:
-29x - 5
Step-by-step explanation:
-4x - 25x - 5 = -29x - 5
Answer:
- 29x - 5
Step-by-step explanation:
- 4x + 5(- 5x - 1) ← distribute the parenthesis by 5
= - 4x - 25x - 5 ← collect like terms
= - 29x - 5
A car is traveling at 20 miles per hour during rush hour. How far does the car travel in 1 minute and 45 seconds?
Answer: 7/12 miles
Step-by-step explanation:
20mph = 20/60 miles per minute = 1/3 miles per minute
1 min 45s = 1 min + 3/4 min = 7/4 min
1/3 x 7/4 = 7/12 miles
The distance travelled by car with the given speed and time is 7/12 miles.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, a car is traveling at 20 miles per hour during rush hour.
Time =1 minute and 45 seconds
= [tex]1\frac{45}{60}=1\frac{3}{4}[/tex]
= 7/4 minutes
Now, 20 miles per minute
= 20/60 miles per minute = 1/3 miles per minute
We know that, Distance =Speed×Time
= 1/3 ×7/4
= 7/12 miles
Therefore, distance travelled by car is 7/12 miles.
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if v = 6i + 3j, what is ||-10v||
The values of ||-10v|| is 51.96 units
Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.The general form of a complex number is expressed as z = x + iy
Given the complex number v = 6i + 3j,
10v is expressed as 10(6i + 3j)
10(6i + 3j) = 60i + 30j
Take the modulus of the complex number:
[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]
Hence the values of ||-10v|| is 51.96 units
Learn more on the complex numbers here: https://brainly.com/question/10662770
Find m
∠
K
M
L
∠KML.
Answer:
35°
Step-by-step explanation:
The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°, so we have ...
2M +110 = 180
2M = 70
M = 35
The measure of angle M is 35°.
is (2×3)×4=2×(3×4) an example of associative property of multiplication?
Answer:
Yes.
Step-by-step explanation:
Associative property of multiplication is:
(A×B)×C = A×(B×C).
It says that "The way of grouping of terms doesn't change the product."
So, given example (2×3)×4=2×(3×4) is an example of associative property of multiplication.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm
Answer:
1231.50432021 cm³
Step-by-step explanation:
Use the formula:
[tex]\frac{1}{3} \pi r^{2} h[/tex]
And replace known values:
[tex]\frac{1}{3} \pi (7^{2})(24)[/tex]
Aaaand simplify:
[tex]\frac{1}{3}*1176 \pi[/tex]
Which gives approximately:
[tex]1231.50432021[/tex]
And don't forget to put the unit (cm³)!
Answer:
1230
Step-by-step explanation:
1/3*pi*7^2*24
1/3*pi*49*24
=1230
Compare the decimal by writing <,> or = on the space provided.
1). 501.019_______501.901
2). 65.561________65.651
3). 0.2134________0.03124
4). 0.500_________0.5
5). 0.004_________0.0004
•
•
•
•
•
•
•
pa answer Po please
Answer:
1. < 2. < 3. > 4. = 5. >
Step-by-step explanation:
Yuan wrote 17 letters to friends each month for x months in a row. Write an expression to show how many total letters Yuan wrote.
josh has 20 apples john has 20 how many do they have all together
Answer:
20+20=40
they have 40 apples altogether.
A girl ran to the store at a speed of 6 miles per hour, and then walked back at a speed of 4 miles per hour. If her round trip took 15 minutes, how far away is the store?
Answer:
.6 miles
Step-by-step explanation:
Answer:
0.6 miles
Step-by-step explanation:
6 × t = 4 × (15 - t)
6t = 60 - 4t
6t + 4t = 60 - 4t + 4t
10t = 60
t = 6
6 × [tex]\frac{1}{10}[/tex] = 0.6
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
My daughter is having a hard time trying to figure this problem.
Hey there! :-)
First, let's find the slope of the line.
We can do that by using this formula:
Slope=Rise/Run
Where
Rise=how many units we move up
Run=how many units we move left or right.
We move 5 units up and 8 units to the right.
Therefore, the slope is 5/8.
The y-intercept (where the line touches the graph) is -9/8.=
Therefore, the equation of the line is y=5/8x-9/8.
Hope this helps you daughter. Use the comment section to clarify any doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck.
Answer:
a - y=5/8x - 9/8
Step-by-step explanation:
firstly, work out the gradient between those two coordinates
[tex]gradient = \frac{change \: in \: y}{change \: in \: x} [/tex]
[tex]gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]
now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept
use any of the two coordinates in the graph. I'll use (5,2)
[tex]y = mx + c[/tex]
[tex]2 = \frac{5}{8} (5) + c[/tex]
[tex]2 = \frac{25}{8} + c[/tex]
[tex]therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8} [/tex]
now we have the gradient and y intercept
so the equation is
[tex]y = \frac{5}{8} x - \frac{9}{8} [/tex]
Expression:
Simplify 2s - s + 6s
Please explain step by step how I get the answer to get marked as brainliest
Answer:
7s.
Step-by-step explanation:
2s - s + 6s (Given)
Rembember that - s is the same as - 1s because there is an invisible 1.
So, 2s - 1s = 1s or s.
1s + 6s = 7s.
2s - s + 6s (Given)
7s (Combine like terms)
Is this relation a function?
(-1,2) (1,17) (3,-4) (1,20)
Can somebody pls solve this equation my brain hurts.
Help anyone?? Not that hardd
no links ! :(
Answer:
1.2
Step-by-step explanation:
First, you cancel out [tex]\frac{6}{20}[/tex] to become [tex]\frac{3}{10}[/tex]
Then that becomes [tex]-\frac{3}{10}+1.5[/tex]
Now, you convert the element to a decimal form to be [tex]-0.3+1.5[/tex]
Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2
Hope this helps!
4. There are 20
students in a rath
class. The ratio of
boys to girls is 3:2.
a) How many boys
are in the class?
b) How many girls
are in the class?
Which of the following sequences below is a Geometric Sequence?
Select one:
a. -8, -3, 2, 7, ....
b. 1, 3, 9, 27, ....
c. 8, 4, 0, -4, ...
d. 2, 4, 6, 8, ...
B. 1, 3, 9, 27
Geometric Sequence is being multiplied by factor of 3.
Which of the following word phrases describe the expression y + 3?
A.three less than y
B.the sum of y and 3
C.the product of y and 3
D.three more than y
If a cylinder has a volume of 648pi cm3( 3rd power) and a height of 8 cm, what is the radius?
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]
given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2
Answer:
16
Step-by-step explanation:
1) Plug x=1 into equation
f(x) = -2(1)²+4(1)+6
f(x) = -2²+4+6
f(x) = 4+4+6
y = 14
(1,14)
2) Plug in x=2 into equation
f(x) = -2(2)²+4(2)+6
f(x) = -4²+8+6
f(x) = 16+8+6
y = 30
(2,30)
3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])
[tex]\frac{30-14}{2-1}[/tex]
[tex]\frac{16}{1}[/tex]
16
Solve the system of equations -6x-y=-16 and -6x-5y=-8 by combining equations
Answer:
[tex]\left \{ {{y=-2} \atop {x=3}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{-6x - y = -16} \atop {-6x - 5y = -8}} \right. <=> \left \{ {{4y= -8} \atop {-6x-5y =-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5y=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5*(-2)=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x=-18}} \right. <=> \left \{ {{y=-2} \atop {x=3}} \right.[/tex]
To indirectly measure the distance across a river, Khalil stands on one side of the river
and uses sight-lines to a landmark on the opposite bank. Khalil draws the diagram
below to show the lengths and angles that he measured. Find PR, the distance across
the river. Round your answer to the nearest foot.
N
RI
185 ft
150 ft
0
275 ft
(Diagram is not to scale.)
ft
Submit Answer
Answer:
Khalil uses the method of similar triangles to find the distance across the river, [tex]\overline{PR}[/tex]
The distance across the river is [tex]\underline{308.\overline 3 \ feet}[/tex]Reasons:
The distances between the formed the sight-lines are;
[tex]\overline{RB}[/tex] = 185 feet
[tex]\overline{OC}[/tex] = 275 feet
The distance between the point close to the river and the next point further from the river [tex]\overline{RO}[/tex] = 150 feet
In triangles ΔPRB and ΔPOC, we have;
∠PRE = ∠POC = 90° Given
∠PER ≅ ∠PCO By corresponding angle formed between two parallel lines and a common transversal.
∴ ΔPRE is similar to ΔPOC by Angle-Angle, AA, similarity theorem
Which gives;
[tex]\displaystyle \frac{\overline {PR}}{\overline {PO}} = \mathbf{\frac{\overline {RE}}{\overline {OC}}}[/tex]
Let x represent the distance across the river, we have;
[tex]\overline{PR}[/tex] = x
[tex]\overline{PO}[/tex] = 150 + x
Which gives;
[tex]\displaystyle \frac{x}{150 + x} = \frac{185}{275}[/tex]
275·x = 185 × (150 + x) = 27,750 + 185·x
275·x - 185·x = 27,750
90·x = 27,750
[tex]\displaystyle x = \frac{27,750}{90} = \mathbf{308.\overline 3}[/tex]
Therefore, the distance across the river, x = [tex]\mathbf{\overline{PR}}[/tex] = [tex]\underline{308.\overline 3 \ feet}[/tex]
Learn more about similar triangles here
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b) Abus covers 270 km distance in 6 hours. (i) Find the speed of the bus in km per bour. (ii) How many kilometres does it travel in 9 hours at the same speed ?in full languages
Answer:
(i)= 45 KPH, (ii) = 251 miles
Step-by-step explanation:
'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.
Then, to see how far a nine hour trip would cover, distance = speed * time = 251 miles.
Answer:
Below.
Step-by-step explanation:
(i) Speed of the bus = 270/6 = 45 km/hour.
(ii) In 9 hours it travels 45 * 9 = 405 km.
what is 1800/1254
[tex]1800 \div 1254[/tex]
Johnny has a box filled with 10 black marbles and 5 purple marbles what are the odds he pulls to black marbles in a row?
Answer:
3/7
Step-by-step explanation:
The first black marble is 10/15 and the second is 9/14. Multiply them together to get 3/7 after you simplify it.
Cassidy is selling popcorn for a fundraiser sale at the price shown. he purchases a total of 150 containers of popcorn to sell. after he sells 25 containers, he will make a total profit, after his upfront costs, of $5.50 cassidy's profit, after upfront costs, can be modeled by a linear function in the form of y=mx+b.
C. Will the function be discrete or continuous? Explain.
D. Write the function that models Cassidy's profit.
E. What is the domain of the function?
F. What is Cassidy's profit or loss if he does not sell any popcorn?
G. What is cassidy's profit if he sells all the popcorn?
H. What is the range of the function?
The domain and the range of the function describes the possible profit or
loss from the sale of popcorn and the number of popcorn units.
The correct responses are;
C. The function is discreteD. The function is; y = 1.5·x - 32E. The domain is; 0 ≤ x ≤ 150F. The loss when non of the popcorn is sold is $-32G. The profit is $193H. The range is; -32 ≤ y ≤ 193Reasons:
The question parameters are;
The price of a popcorn = $1.5
Number of popcorn he purchases = 150
Total profit made = $5.50
The number of containers sold = 25
Therefore;
C. Given that the number of containers sole is countable, the function will be discrete.
D. Cost of the containers = Revenue - Profit
Which gives;
Cost of the containers = 1.5 × 25 - 5.5 = 32
The given function is therefore;
y = 1.5·x - 32
E. The domain is the 150 containers which gives;
The domain = 0 ≤ x ≤ 150
F. When no popcorn is sold, we have;
x = 0, which gives;
y = 1.5 × 0 - 32 = -32
If he does not sell any popcorn, the loss is $32
G. If all the popcorn are sold, we have;
x = 150
Therefore;
y = 1.5 × 150 - 32 = 193
The profit if all the popcorn are sold = $193
H. The range of the function are the possible y values, which is the possible profit or loss, which gives;
The range = -32 ≤ y ≤ 193
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I need help with this plz
Answer:Mmm
Step-by-step explanation:
I am doing the work I will thell you the answer
x squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?
Answer:
[tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]
The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].
Step-by-step explanation:
I'm assuming the system is [tex]\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.[/tex]:
[tex]x^2+y^2=2[/tex]
[tex]x^2+(2x^2-3)^2=2[/tex]
[tex]x^2+(4x^4-12x^2+9)=2[/tex]
[tex]x^2+4x^4-12x^2+9=2[/tex]
[tex]4x^4-11x^2+9=2[/tex]
[tex]4x^4-11x^2+7=0[/tex]
[tex]x^4-11x^2+28=0[/tex]
[tex](x^2-7)(x^2-4)=0[/tex]
[tex](4x^2-7)(x^2-1)=0[/tex]
[tex]4x^2-7=0[/tex]
[tex]4x^2=7[/tex]
[tex]x^2=\frac{7}{4}[/tex]
[tex]x=\pm\sqrt{\frac{7}{4}}[/tex]
[tex]x^2-1=0[/tex]
[tex]x^2=1[/tex]
[tex]x=\pm1[/tex]
[tex]y=2x^2-3[/tex]
[tex]y=2(\pm\sqrt{\frac{7}{4}})^2-3[/tex]
[tex]y=2({\frac{7}{4}})-3[/tex]
[tex]y=\frac{7}{2}-3[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]y=2x^2-3[/tex]
[tex]y=2(\pm1)^2-3[/tex]
[tex]y=2(1)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Therefore, [tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]
The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].
Algebra 1
What is the greatest possible error for a measurement of 4 inches?
inches
Help please!
Solve for x
Answer:
x=5
Step-by-step explanation: