1. First, he will be climbing 10,000 feet from where he is right now. 10,000 / 1,000 = 10.
-3.6 x 10 = 36 degree decrease.
25 - 36 = -11
At 12,000 feet, the temperature will be -11.
2. First, we need to do 8.80 x 7 = 61.6
61.6 / 4 = 15.4
61.6 - 15.4 = 46.2
He has $26.20 left.
Hope this helps!
Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
4.59318
Step-by-step explanation:
I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.
$5.15 per 5-pound bag
Answer: 1 pound = 1.03
Step-by-step explanation:
not sure what you wanted from this but here are possible answer
Hey there!
When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.
$5.15/5 lb
= 5.15 ÷ 5 lb
= 5.15 ÷ 5 lb
= $1.03
Therefore, your answer SHOULD be: $1.03
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0
Step-by-step explanation:
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
Answer:
The center is at (1, 6) and the radius is 1.
Step-by-step explanation:
x^2 + y^2 - 2x - 12y +36 = 0
Convert to standard form:
x^2 - 2x + y^2 - 12y = -36
(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36
(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1
(x - 1)^2 + (y - 6)^2 = 1
The center is at (1, 6) and the radius is 1.
Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.
Answer:
Step-by-step explanation:
So the final answer is $2274.
Please help me simplify this answer.
Answer:
D
Step-by-step explanation:
if x =4 and y =5
the expression = 818.3396
and D the only expression done the same result
solve the system using substitution x+5y=0 3y+2x=-21
Answer:
[tex]\left \{ {{x = -15} \atop {y=3}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right. <=> \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\<=> \left \{ {{x = -5y } \atop {-7y = -21}} \right. <=> \left \{ {{x = -5y} \atop {y= 3 }} \right. <=> \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.[/tex]
witch expression an be placed on the right side of the equal sign to form an equation 5 + 2/3 ? K12 6 grade
the base and height of a triangle are in the ratio 4:5 . if the area is 640 sq.cm find the the base and height
Determine if the sequence is geometric . If it is , find the common ratio , the explicit formula and the recursive formula .
1. -40 , 20 , -100 , 500
2. 4 , 20 , 100 , 500
3. 4 , 24 , 144, 864
5. 3 , -12 , 48 , -192
Step-by-step explanation:
if it is a geometric sequence, then
sn = sn-1 × r
with r being the common ratio.
1.
s2 = s1 × r
20 = -40 × r
r = 20/-40 = -1/2
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
-100 = 20 × -1/2 = -10
this is wrong, so, it is not geometric.
2.
s2 = s1 × r
20 = 4 × r
r = 20/4 = 5
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
100 = 20 × 5 = 100
s4 = s3 × r
500 = 100 × 5 = 500
this is all correct, so, it is geometric.
sn = sn-1 × 5
sn = s1 × 5^(n-1) = 4 × 5^(n-1)
3.
s2 = s1 × r
24 = 4 × r
r = 24/4 = 6
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
144 = 24 × 6 = 144
s4 = s3 × r
864 = 144 × 6 = 864
this is all correct, so, it is geometric.
sn = sn-1 × 6
sn = s1 × 6^(n-1) = 4 × 6^(n-1)
5.
s2 = s1 × r
-12 = 3 × r
r = -12/3 = -4
but the same r has to apply to all other terms, if it is geometric.
s3 = s2 × r
48 = -12 × -4 = 48
s4 = s3 × r
-192 = 48 × -4 = -192
this is all correct, so, it is geometric.
sn = sn-1 × -4
sn = s1 × (-4)^(n-1) = 3 × (-4)^(n-1)
what is the equation of the line that has a slope of three and goes through the point (-3,-5)?
A. y= 3x+4
B. y= 3x-14
C. y= 3x-4
D. y= 3x+12
Answer:
y=3x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=3(x-(-3))
y+5=3(x+3)
y=3x+9-5
y=3x+4
Write the equation for the function graphed below
Answer:
Step-by-step explanation:
looks to be a parabola, so use vertex mode (h, k) = (-1, 2)
y = a(x - h)² + k
y = a(x + 1)² + 2
another point on the curve seems to be (1, 6)
6 = a(1 + 1)² + 2
1 = a
y = (x + 1)² + 2
or expand for standard form y = ax² + bx + c
y = (x² + 2x + 1) + 2
y = x² + 2x + 3
5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?
(1) x+6
(3) r-3
(2) x-1
(4) x+2
Answer:
(1) x+6
Step-by-step explanation:
Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12
Check each answer choice with synthetic division:
1 | 1 9 16 -12
__1_10_26
1 10 26 | 14
-2 | 1 9 16 -12
__-2_-14_-4
1 7 2 | -16
-6 | 1 9 16 -12
__-6_-18_12
1 3 -2 | 0
Therefore, x+6 is a factor of the polynomial
Answer:
(1) x+6
Step-by-step explanation:
Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)
the slope is 6/-5
subtracting the y values gives you -2-(-8)=6
subtracting the x values gives you -1-4= -5
Given:-
Two points (4,-8) and (-1,-2) .To find :-
The slope of the line through these points .Solution :-
As we know that the slope is ,
[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]
Substitute the values ,
[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)
[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1
[tex]\longrightarrow[/tex] Slope = 6/5
Hence the slope of the line is 6/5 .
Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.
Answer:
inequality form: x<-7 or x> 17
Step-by-step explanation:
Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?
Answer:
1.25 miles or 5/4
Step-by-step explanation:
Take the two distances and add them together and simplify.
Answer: 1 & 1/4 mile
Explanation:
1/2 = 2/4
She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.
The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,
5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4
Consider the circle centered at the origin and passing through the point (0, 2).
(a) Give the equation of the circle.
(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)
Answer:
x^2+y^2=4, yes, no, yes, no
Step-by-step explanation:
a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.
b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.
([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.
(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.
Y<-3 which is the solution:
A) 5
B) 0
C)-2
D)-5
Y needs to be less than -3 the larger the negative number the further from 0 it is so -5 would be less than -3
Answer: -5
ROCKETS The height in feet of a rocket t seconds after launch is modeled
by h(t) =–16t2 + 72t. Find its average speed from 3 to 4 seconds.
F-56 ft/s
G40 ft/s H 40 ft/s
J 56 ft/s
The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
Given the equation as a model, h(t) =–16t² + 72t.
Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]
Find h(4):
h(t) =–16t² + 72t
Substitute 4 for t in the equation h(t) =–16t² + 72th(4) = -16(4)² + 72(4)
h(4) = -256 + 288
h(4) = 32
Find h(3):
h(t) = -16t² + 72t
Substitute 3 for t in the equation h(t) =–16t² + 72th(3) = -16(3)² + 72(3)
h(3) = -144 + 216
h(3) = 72
Plug in the value into [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:
average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]
Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
Learn more about average rate of change on:
https://brainly.com/question/11627203
Hanna has 16 pencils. She gets 3 new
pencils from Mrs. Lewis. She divides
the pencils equally between her 2
sisters. How many pencils does each
sister get?
Answer:
9.5
Step-by-step explanation:
If Hanna starts off with 16, and Mrs. Lewis GIVES(add) her 3 more, then she has 19 because 16+3=19. Then we divide by 2 because there are 2 sisters. so 19/2 = 9.5
Hello! I hope this helped you. If this is wrong please let me know. Thank you.
As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?
Answer:
29.4
Step-by-step explanation:
pls help!ill give brainlest to the smartest!
Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−2x3. If there is more than one x-intercept, separate them with commas.
Answer:
Step-by-step explanation:
Your equation makes no sense.
I will ASSUME you mean
y = -x² - 2x + 3
which can be factored
y = (x + 3)(-x + 1)
x intercepts occur when y = 0
0 = (x + 3)(-x + 1)
which means either
x + 3 = 0
x = -3
or
-x + 1 = 0
x = 1
x intercepts are (-3, 0) and (1, 0)
The vertex will occur halfway between these point
x = (-3 + 1) / 2 = -1
so vertex = y = -(-1)² - 2(-1) + 3 = 4
(-1, 4)
[tex]Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } [/tex]
..............................
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.
Solve for X
2/3 x +10/60 =100/60
Answer:
2 1/4
Step-by-step explanation:
subtract 10/60 from each side to get:
2/3x = 90/60
multiply each side by 3/2 to get:
x = 270/120
x = 27/12 or 2 1/4
Which is NOT true?
16 + 3 = 11 + 8
16 = 16
16 - 4 = 7 + 6
16 = 19 - 3
Answer:
16 - 4 = 7 + 6
Step-by-step explanation:
16 - 4 = 12
7 + 6 = 13
How can multistep linear equations be written to represent different
scenarios?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit
Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?
Answer:
7 yellow cars
Step-by-step explanation:
Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.
please help! will give brainliest:)
Solve the following system:
2x - z=14 a
10
3x - y + 5z = 0
(4x + 2y + 3z = -2
Find the area of the circle whose diameter is 68 cm
Answer:
1156πcm²
Step-by-step explanation:
Diameter = 68cm
Therefore radius = 68 ÷ 2 = 34cm
Area of a circle = πr²
= π × 34cm × 34cm
= π × 1156cm
= 1156πcm²
NOTE: In case you're given the value of pi, substitute it into the formula to get your answer
Estimate 47 divided by 1/2
Answer : 94
Step by Step :
47/0.5=94