Answer:
x^2-3x-10
Step-by-step explanation:
Answer:
The answer is x²-3x-10
Step-by-step explanation:
(x + 2)(x − 5)
x²-5x+2x-10
x²-3x-10
Kate cycle the first 350 km of a 470-km journey at a certain avearge speed and the remaining distanceat an average that is 15km/h less than that for the first part of the journe. If the time taken for her to travel each part for her to travel each part of her journey is the same, find the average speed for the second part of her journey
Answer:
7.83 km/h
Step-by-step explanation:
Let v = average speed for first part, v' = average speed for second part.
Given that v' = v - 15, the distance covered by the first part d = 350 km. The distance covered in the second part d' = 470 km - 350 km = 120 km.
Since both parts are covered in the same time,
d = vt and d' = v't = (v - 15)t
So, 350 = vt (1) and 120 = vt - 15t (2)
substituting vt = 350 into (2), we have
120 = 350 - 15t
collecting like terms, we have
15t = 350 - 120
simplifying, we have
15t = 230
dividing through by 15, we have
t = 230/15
t = 15.33 h
Since d' = v't, then
v' = d'/t
= 120 km/15.33 h
= 7.83 km/h
So, the average speed for the second part of the journey is 7.83 km/h
Evaluate the expression yz when x= 3, y=6 and z=12.
Answer: 72
Step-by-step explanation:
y=6, z=12
yz=6 x 12=72
find the selling price: original price of a radio: 53.50 discount: 30
Answer:
48.69
Step-by-step explanation:
Step-by-step explanation:
30% off $53.50
= 70% of $53.50
= $53.50 * (70/100) = $37.45.
The Mexican Hot Chocolate Recipe makes 2 cups of hot chocolate per batch. 1 serving is equal to 1 cup.
How many batches of the recipe will you need to make to have enough hot chocolate for 6 people
Answer:
3
Step-by-step explanation:
For one batch there is 2 cups so for one person it's one serving so you will need 3 batches for 6 people.
Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days
to find the number of subscribtion sold we divide the money she made by the price of subscription
monday:
42.80/5.35=8 subscriptions sold
tuesday:
64.20/5.35=12 subscriptions sold
wednesday:
74.90/5.35=14 subscriptions sold
8+12+14=34 subscriptions sold in 3 days
Answer:
34 subscriptions she sold
Find the median of the
data. 7,5, 12, 8, 2,9,4
Answer:
7
Step-by-step explanation:
First, put them in numerical order: 2, 4, 5, 7, 8, 9, 12
Then cross out one from each side until you get to the middle
The median of the given data set 7,5, 12, 8, 2,9,4 is 7.
What are the mode and median?Mode is the highest frequency number while the median is the middle value of a data set after writing either increasing or decreasing manner.
For example;
Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.
Given the data set,
7,5, 12, 8, 2,9,4
If we write it in increasing order then,
2, 4, 5, 7, 8, 9, 12
Now median is middle value so here 7 is in between 3 - 3 from left and right.
Hence "The median of the given data set 7,5, 12, 8, 2,9,4 is 7".
To learn more about mode and median,
https://brainly.com/question/300591
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*BRAINIEST & 25 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
*irrelevant answers will be reported*
Answer:
63 degrees
Step-by-step explanation:
All angles add up to 180
(5x+6) + (4x-6) + (5x-2) = 180
put like terms together
5x+4x+5x + 6-6-2 = 180
14x -2 = 180
add 2 to both sides
14x = 182
divide both sides by 14
x=13
angle G is 5x-2, so if x=13, angle G is 5(13) -2
= 65 -2 = 63 degrees
please give thanks by clicking heart button :)
and crown if right
Prove that: (Sec A- cosec A)(1+ tan A+cot A) = tan A× sec A - cot A × cosec A
Answer:
Step-by-step explanation:
[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA[/tex]
we take the LHS so here goes,
[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA\\(\frac{1}{cosA} -\frac{1}{sinA})(1+\frac{sinA}{cosA}+\frac{cosA}{sinA})\\\\(\frac{sinA-cosA}{sinAcosA})(\frac{sinAcosA+sin^2A+cos^2A}{sinAcosA})\\[/tex]
since , [tex]sin^2A+cos^2A=1[/tex]
the identity becomes,
[tex](\frac{sinA-cosA}{sinAcosA})(\frac{1+sinAcosA}{sinAcosA})\\\\(\frac{sinA+sin^2AcosA-cosA-cos^2AsinA}{sin^2Acos^2A})\\\\[/tex]
now, we know,
[tex]sin^2A=1-cos^2A[/tex] and [tex]cos^2A=1-sin^2A[/tex]
the identity becomes,
[tex](\frac{sinA+(1-cos^2A)cosA-cosA-(1-sin^2A)sinA}{sin^2Acos^2A} )\\\\[/tex]
[tex](\frac{sinA+cosA-cos^3A-cosA-sinA+sin^3A}{sin^2Acos^2A})[/tex]
sin A and cos A cancel out it becomes zero
[tex]\frac{sin^3A-cos^3A}{sin^2Acos^2A} \\\\[/tex]
Splitting the denominator the identity becomes
[tex]\frac{sin^3A}{sin^2Acos^2A}-\frac{cos^3A}{sin^2Acos^2A} \\\\\frac{sinA}{cos^2A} - \frac{cosA}{sin^2A} \\\\\frac{sinA}{cosA}(\frac{1}{cosA})-\frac{cosA}{sinA}(\frac{1}{sinA})\\\\[/tex]
Hence,
[tex]tanAsecA-cotAcosecA[/tex]
A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 40 centimeters
Answer:
[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]
Step-by-step explanation:
The rate of the inflation of the balloon with time can be denoted as:
[tex]\dfrac{dv}{dt} = 500 \ cm^3/m[/tex]
To determine; how fast does the radius change with time.
i.e.
[tex]\dfrac{dr}{dt}=???[/tex]
where r = 40 cm and the volume of sphere = [tex]\dfrac{4}{3} \pi r^2[/tex]
∴
[tex]\dfrac{dv}{dt}= \dfrac{4}{3} \pi 2(r^3) \dfrac{dr}{dt}[/tex]
[tex]500= \dfrac{4}{3} \pi \times 2(40^2) \dfrac{dr}{dt}[/tex]
[tex]500= 13404.13 \dfrac{dr}{dt}[/tex]
[tex]\dfrac{500}{13404.13} = \dfrac{dr}{dt}[/tex]
[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]
PLEASE HELP ME I NEED HELP

Step-by-step explanation:
the question is not clear
if two lines are perpendicular , what do we know about their slopes ?
Answer:
If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Hope this helps.
Step-by-step explanation:
Can somebody plz help answer these questions for the word problem. They have to be correct!!! Thanks
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Priya family exchangers 125 dollers for 4,250 pesos. Priya bought a sweater for 340 pesos how many dollers did the sweater cost
Answer:
The sweater costs 10 dollars.
Step-by-step explanation:
We can use proportion to solve this:
[tex] \frac{125 \: dollars}{4250 \: pesos} = \frac{x}{340 \: pesos} \\ \\ \frac{4250x}{4250} = \frac{42500}{4250} \\ \\ x = 10 \\ x = 10 \: dollars[/tex]
help solve for x please!
x to the third power= -8
Answer:
X = 2
Step-by-step explanation:
2 x 2 x 2 = 8
Hope this helps. Pls give brainliest.
Answer:
2 :)
Step-by-step explanation:
b - 9 = 21
linear equations
Answer: b=30
Step-by-step explanation: add 9 to both sides
b−9+9=21+9
b=30
add 9 from 9 this will cancel out the nine then add 9 to 21 and what ever u get is ur answer b=30
Step-by-step explanation:
b-9=21
+9
Help me with this please
Answer:
15 cans or D
Step-by-step explanation:
so it’s a pattern every 5 days add 3 cans
so Now do a table
5 = 3
10 = 6
15 = 9
20 = 12
25 = 15
Answer:
15 cans
D
Step-by-step explanation:
Set up a proportion.
3 cans / 5 days = x cans / 25 days
Note: both sides contain the same units on top and the same units on the bottom of each fraction.
3/5 = x / 25 Cross multiply
5x = 3*25
5x = 75
x = 75 / 5
x = 15
Convert 0.008 to a percentage???
working out pleaseeee brainlest
Answer:
0.8%
Step-by-step explanation:
8/1000 x 100%
8/10 = 0.8% or 4/5%
Answer:
0.8%
Step-by-step explanation:
it is the answer answer
A shirt originally cost $46.25, but it is on sale for $37.00. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.
Answer:
20%
Step-by-step explanation:
Original cost = $46.25
Decreased cost = $37.00
Decrease in cost = 46.25 - 37.00 = $9.25
Percentage decrease
[tex] = \frac{9.25}{46.25} \times 100 \\ \\ = \frac{92500}{4625} \\ \\ = 20\% [/tex]
Justin and Elena each launched a toy rocket into the air. The height of Justin's rocket is modeled by the equation h = –16t2 + 60t + 2. Elena launched his rocket from the same position, but with an initial velocity double that of Justin's. Which equation best models the height of Elena's rocket? h(t) = at2 + vt + h0
Answer:
b
Step-by-step explanation:
A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of the variables in the model. Then use the model to find the amount of ticket sales.
a =
b =
The amount of ticket sales is $
.
Answer: $2400
Step-by-step explanation:
Based on the question above, a will be the percentage of tickets that were sold while b will be tickwt sales. Therefore,
a = 75%
b = 75% × $3,200
= 0.75 × $3200.
= $2400
Based on the information above, the amount of tickets sales is $2400
(-2/10)^4 power
HELP MEE PLS
Answer:
1/625
Step-by-step explanation:
simply
(-1/5)^4
1/625
Answer:
The answer is 1/625
Step-by-step explanation:
hope this helps
Estimate 40% of 128
Please help :c
Answer:
51.2 is 40% of 128
Step-by-step explanation:
Answer:
76.8
Step-by-step explanation:
128 x .40 = 51.2
128 - 51.2 =76.8
Please help me ASAP!
Answer:
A and B are parallel to D and C
or
A and D to B and C
basically do a line and expand them if they touch they are not parralelogram but if they don't they are
What is the cube root of 864
Answer:
Cube root of 864 can be represented as 3√864.
Answer:
9.52441
Step-by-step explanation:
[tex] \sqrt[3]{864} [/tex]
[tex] = \sqrt[3]{(9.524 \times 9.524 \times 9.524)} [/tex]
[tex] = 9.52441[/tex]
Ricardo bought a bicycle that was discounted 20% off the original price. If the original price was $110.00, what was the price of the bicycle after the discount was applied?
Answer:
88$
Step-by-step explanation:
Which of the following is a solution of the function graphed below?
Answer:
Option A
Step-by-step explanation:
It's a point on the function's graph
The original price of an iPad is $429. The sale price is 30% off the original price. What is the sale price of the iPad? Show your work.
Answer:
297.3
Step-by-step explanation:
30% of 429 is 128.7
429 which is the original price - 128.7 which is the price off = 297.3
Answer:
$300.30
Step-by-step explanation:
100% - 30% = 70%
429 * 0.70 = 300.30
Therefore the sale price of the ipad is $300.30!
Please mark brainliest and have a nice day!
(x+2)² (x-100)²
Do it
Answer:
x⁴-196x³+9204x²+32200x+40000
Step-by-step explanation:
(x+2)(x+2)×(x-100)(x-100)=
(x²+4x+4)×(x²-200x+10000)=
(x⁴-200x³+10000x²+4x³-800x²+40000x+4x²-800x+40000)
=x⁴-196x³+9204x²+32200x+40000
x⁴-196x³+9204x²+32200x+40000
If X=sin130° + cos130° then 1)X <0 2)X=0 3)X>0 4) X> or equal to 0
Step-by-step explanation:
X = sin130° + cos130°
= sin50° - cos50°
= sin50° - sin40°.
sin50° is definitely greater than sin40°, therefore X > 0. (3)
What is the image of the point (-1,-2)after a rotation of 180∘
counterclockwise about the origin?
Answer:
The image of the point is (1, 2)
Step-by-step explanation:
If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)Let us use the rules above to solve the question
∵ The point (-1, -2) is rotated 180° counterclockwise about the origin
→ By using the 2nd rule above change the signs of x and y coordinates
∴ Its image is (1, 2)
∴ The image of the point is (1, 2)
Answer:
(1,2)
Step-by-step explanation: