Answer:
10.3 units
Step-by-step explanation:
coordinate points are
T(2, -2) =(x1 , y1)
W(-7, 3) =(x2 , y2)
distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]
=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]
=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]
=[tex]\sqrt{81 + 5^2[/tex]
=[tex]\sqrt{81 + 25[/tex]
=[tex]\sqrt{106[/tex]
=10.29563014
=10.3 (after converting it to the nearest tenth)
A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
Answer:
Start at zero, then go to the left two times, then go down eight more. The new location would be negative ten.
Step-by-step explanation:
Find the surface area of a cylinder with a height of 11 feet and base radius of 3 feet.
______ square feet
Answer:
the surface area is 263.76 feet²
hope this helps
have a nice day
Does anybody know it
Need help ASAP DUE IN A COUPLE MINUTES ?!!!!
Answer:
[tex] \displaystyle {r}^{} = 6[/tex]
Step-by-step explanation:
remember that,
[tex] \displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3} [/tex]
given that,
V=288πthus substitute:
[tex] \displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi[/tex]
divide both sides by 4/3π:
[tex] \displaystyle {r}^{3} = 216[/tex]
cubic root both sides:
[tex] \displaystyle {r}^{} = 6[/tex]
and we are done!
A ticket agent sells 24 tickets to a play. The tickets cost $70 each. Use rounding to estimate the total
dollars taken in from the sale of the tickets.
Question Help: Video
Submit Question
Answer:
$1,608
Step-by-step explanation:
I think you have to do $70 x 24
Answer:
$1680
Step-by-step explanation:
For 1 ticket price=$70
For 24 ticket price=$70 x 24
=$1680
Your friends asks you to bring a couple of bags of chips to his party. There are several brands of chips, each a different size and price.
Answer:
i will buy wo different with good price
Step-by-step explanation:
z = x/y
____________
Pls help i'm struggling with this help pls!
Answer:
[tex]5\sqrt{10}[/tex] when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.
Help plz..And No links!! I repeat No links!!
Answer:
the first
Step-by-step explanation:
i did the test
Can someone explain step by step of how to answer this question?
Answer:
More people ordered processed than produce
Step-by-step explanation:
They are comparing [tex]\frac{1}{5} and \frac{19}{91}[/tex]
First we have to find the least common multiple (lcm)
The lcm is 455
[tex]\frac{1}{5} x \frac{91}{91} = \frac{91}{455}[/tex] (produce)
[tex]\frac{19}{91} x \frac{5}{5} =\frac{95}{455}[/tex] (processed)
[tex]\frac{91}{455} < \frac{95}{455}[/tex]
More people ordered processed than produce.
Write an
equation of the line that passes through the points (-3,4) and (-5,1).
Answer:
4x + 8y + 20 = 0
Step-by-step explanation:
f f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
Answer:
Step-by-step explanation:
f(1) = 160
f(n + 1) = -2 * f(n)
n = 1
f(2) = -2*f(1)
f(2) = -2*160
f(2) = - 320
f(3) = - 2*f(2)
f(3) = -2 * - 320
f(3) = 640
f(4) = -2 * f(3)
f(4) = -2 * 640
f(4) = - 1280
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
[tex](x+8)^2 -x^2 = 12^2[/tex]
[tex]x^2 +16x +64 - x^2 = 144[/tex]
[tex]16x+64=144[/tex]
[tex]16x = 80[/tex]
[tex]x = 5[/tex]
Double check:
[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]
Perimeter:
[tex]12+5+13=30[/tex]
Area([tex]\frac{1}{2}bh[/tex]):
[tex]\frac{1}{2}[/tex] × 12 × 5 = 30
According to Pythagorean theorem,
Δ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (x + 8)² = x² + 12²
⇒ x² + 64 + 16x = x² + 144
⇒ 16x = 80
⇒ x = 5
Hypotenuse = (x + 8) = (5 + 8) = 13
1st Leg = 5
2nd Leg = 12
We know that : Perimeter is the Sum of all sides of the Triangle
⇒ Perimeter = Hypotenuse + 1st Leg + 2nd Leg
⇒ Perimeter = 13 + 5 + 12
⇒ Perimeter = 30
We know that :
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
Base = 1st Leg
Height = 2nd Leg
[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]
[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]
A parent deposits $2000 into their child's bank account. The account earns 4%
interest each year. Write an explicit function that represents the situation. *
A(t) = 2000(1.04)-1
A (t) = 2000(4)'
A(t) = 2000(1.04)'
A(t) = 2000 + 4t
O
Answer:
A = 2000(1.04)^t
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
P is the principal = $2000
r is the rate = 4% = 0.04
On substituting
A = 2000(1+0.04)^t
A = 2000(1.04)^t
Hence the required expression is A = 2000(1.04)^t
find the volume of and round all answers to the nearest hundredth.
Answer:
The answer would be : 7,500 <-- (rounded)
Step-by-step explanation: How i got this answer is, i just multiplied all of the sides together since thats what you do with area's. ( 21 x 21 x 17= 7,497)
Now, the last step is to just round the number off. As we see, the "497" is much more closer to the number "500". So we can just simply round "497" to "500". So your final number for the area would be (7,500) ft.
~hope this helped you out in any way, have a gr8 day/night my friend!~
A translation moves point B (-5,3) to point B’ (2,1). What is the image of (x,y) under this translation?
(X-3, y-2)
(X-3, y+2)
(X+7, y+2)
(X+7, y-2)
Answer:
4th option
Step-by-step explanation:
Given
B (- 5, 3 ) → B' (2, 1 )
The change in the x- coordinates are - 5 → 2 , that is + 7
The change in the y- coordinates are 3 → 1 that is - 2
Then the translation rule is
(x, y ) → (x + 7, y - 2 )
If translation moves point B (-5,3) to point B’ (2,1). Then (X+7, y-2) is the image of (x,y) under this translation
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
A translation moves point B (-5,3) to point B’ (2,1).
We need to find the image of (x,y) under this translation
A graph is translated k units horizontally by moving each point on the graph k units horizontally.
Which means to get B' which translation is used.
B (- 5, 3 ) and B' (2, 1 )
If we add +7 to x coordinate we will get 2.
When we subtract 2 from B we will get 1
So the translation rule is
(x, y ) → (x + 7, y - 2 )
Hence (X+7, y-2) is the image of (x,y) under this translation
To learn more on Graphs click:
https://brainly.com/question/17267403
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I need help:)
please
Answer:
it's 5
Step-by-step explanation:
Answer:
r = 5
Step-by-step explanation:
if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality
35 = 7r
60 = 15r
100 = 20r
'r' is 5
The Ratio of Marbles is 3 green: 7 blue: 5 red. If a bag of marbles has 225 marbles in it,
how many green would you expect in the bag?
Answer:
45 green marbles
Step-by-step explanation:
Green : Blue : Red = 3 : 7 : 5
Fraction of green marbles = [tex]\frac{3}{3+7+5}=\frac{3}{15}[/tex]
Total marbles = 225
Number of green marbles = [tex]\frac{3}{15}*225[/tex]
= 3 * 15
= 45
Which of the following statements are true regarding functions?
Check all that apply.
Answer:
A and D are true.
Step-by-step explanation:
A function is a relationship that maps elements from one set (the domain, set of the inputs) into elements from another set (the range, set of the outputs), such that each element from the domain can be mapped into only one element from the range.
So, if the inputs are represented in the horizontal axis, and the outputs are represented in the vertical axis, when we draw a vertical line in any given point, this line can not intersect the graph more than once (because that would mean that a given input has two different outputs). This is known as the vertical line test. Note that two different values from the domain can be mapped into the same value in the range.
Also, we define a function as one-to-one if each output is mapped from only one input.
(so here we can not have two different inputs mapped into the same output).
Here we can do a similar test to the one above, this time we should use the horizontal line test to verify if the function is one-to-one or not.
So, here the correct options are:
A and D.
Option B is false.
And for option C, a sequence is a function where the variable is a set of natural numbers, so option C is also false.
Answer:
A and B is correct
Step-by-step explanation:
If y^4-y^3-3 is multiplied by 2y^3-2, what is the coefficient of y^3 in the product?
A. -4
B. -2
C. -1
D. 1
E. 6
Answer:
-4
Step-by-step explanation:
[tex](y^4-y^3-3) \times (2y^3-2)=...+[(-1)(-2)+(2)(-3)]y^3+...\\=...+[2-6]y^3+...\\=...+(-4)y^3+...\\[/tex]
so coefficient of y^3=-4
Slope-intercept from by steps
simultaneous equation -- 4x+3y=16 .. 5x-y=1
Answer:
(1, 4)
Step-by-step explanation:
4x + 3y = 16
5x - y = 1
20x + 15y = 80 (Subtract the equations)
20x - 4y = 4
19y = 76
y = 4
Substitute into any of the original equations:
4x + 3(4) = 16
4x + 12 = 16
4x = 2
x = 1
x = 1, y = 4
Answer:
x = 1 and y = 4
Step-by-step explanation:
4x + 3y = 16
5x - y = 1
→ Rearrange the second equation to make y the subject
y = 5x - 1
→ Substitute this into the first equation
4x + 3 ( 5x - 1 ) = 16
→ Expand
4x + 15x - 3 = 16
→ Simplify
19x - 3 = 16
→ Add 3 to both sides
19x = 19
x = 1
→ Substitute this solution into 5x - y = 1
( 5 × 1 ) - y = 1
→ Simplify
5 - y = 1
→ Minus 5 from both sides
-y = -4
→ Multiply both sides by -1
y = 4
Which equation has the slope of 3 and passes through point (1,5)
what is 24 - t, t = 9
answer:
15
step-by-step explanation:
equation: 24 - t
variable: t
replace the variable with the number that represents it (9) & subtract
24 - t = ?
24 - (9) = 15
hope this helped!
Find all the missing elements.
Round to the nearest tenth.
a = 10
b = 7
C = 6
A = [?]°
B = [ ]° C = [ ]°
Answer:
A= 100.3
B= 43.5
C =36.2
Step-by-step explanation:
Answer:
The answer for Acellus people is
A = 100.3
B = 43.5
C = 36.2
Step-by-step explanation:
A fruit basket contains 11 red apples and 7 green apples. What is the ratio of the number of red apples to the number of green apples
Answer:
11:7 or 11/7
Step-by-step explanation:
Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7
What is the measure of ZWX?
Step-by-step explanation:
180°+63°
=243°
holp it help
two lines intersect.One has gradient 4 and y-axis intercept 3. The other has gradient 6 and cuts the y-axis at (0,1). What is the point of interesection of the lines?
Answer:
(1, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
During math class, Laura stated that the two cylinders shown below have the same volume. Jean interrupted Laura and argued that the volumes of the two cylinders are different. Their
eacher explained that Laura was correct.
Answer:
3rd option
Step-by-step explanation:
Cavalieri's principle states that two figures which have the same height and same cross-sectional area have the same volume
the height of the cylinders are both 42
the diameter of both figures is 24 as the diameter of the second cylinder = 12 x 2 = 24
the radius of the cylinders are both equal to 12
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
thus the volumes should be equal
Given the function
F(x)=
Answer:
Replace all the (x) values with the Values "-1, 0, 2" to get your answers
Step-by-step explanation:
4(-1)+4 (-1) < 0
f(-1)= 4(-1)+4 (-1) > 0
f(-1)= 4x+4 x < 0
f(0)= 4x +8 x>/_ 0
f(2)= 4x +8 x>/_ 0
Isaiah brought two dozen donuts to a class party. Half of the donuts had vanilla frosting with sprinkles, 2 had strawberry frosting with cream filling, and the rest had chocolate frosting with sprinkles. What fraction of the donuts had sprinkles? There are 12 donuts in a dozen.
Answer:
22/24
ALL TOGETHER there is 24 donuts.
take half of 24, or 24 divided by 2, and you get 12.
so we know 12 of the donuts are vanilla with sprinkles.
then 2 had strawberry frosting and the rest had chocolate and sprinkles.
we took 12 away so we only have twelve left and if 2 of those 12 are strawberry with no sprinkles and the rest are chocolate WITH sprinkles, this means 10 are chocolate with sprinkles.
so 10 chocolate and sprinkles +12 vanilla and sprinkles=22 donuts with sprinkles out of 24 donuts total
Answer:
22/24
Step-by-step explanation: