Answer:
15
Step-by-step explanation:
You have to calculate the boys name using ratio expression.
3/5 × 25
= 15
What is the inverse of f(x) = 2x2 –4?
Answer:
The inverse of the function is
[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]
Step-by-step explanation:
let the inverse of f(x) be m:
[tex]m = {2x}^{2} - 4 [/tex]
take 4 to the left hand side ( changes sign to positive ):
[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]
take a square root on all sides:
[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]
substitute x in place of m:
[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]
what are the coefficients of the equation y=x^2+5x+6
Answer:
1, 5
Step-by-step explanation:
a numerical or constant quantity placed before and the variable in an algebraic expression (e.g. 4 in 4x y).
Answer: 1 and 5
Step-by-step explanation:
5. Find the solutions of x^2 – X-30 = 0.
please show work on how to do it
Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow? (Enter your answers as a comma-separated list.)
The absolute value of a number returns the positive value of the given number. Ruben will be at exactly 90 miles in 2 hours or 5 hours
Given that:
[tex]d = |210 - 60t|[/tex]
To calculate t when [tex]d = 90[/tex], we have:
[tex]90 = |210 - 60t|[/tex]
Rewrite as:
[tex]|210 - 60t| = 90[/tex]
Remove absolute bracket
[tex]210 - 60t = 90 \ or\ 210 - 60t = -90[/tex]
Collect like terms
[tex]- 60t = -210 + 90 \ or\ - 60t = -210 -90[/tex]
[tex]- 60t = -120 \ or\ - 60t = -300[/tex]
Divide through by -60
[tex]t = 2 \ or\ t = 5[/tex]
Hence, Ruben will be at exactly 90 miles in 2 hours or 5 hours
Read more about absolute values at:
https://brainly.com/question/1301718
it cost 25 to rent a car each day a 0.95m per mile
Plz help me in this math
Answer:
can u please cut all zeroes and if it is divisible by both a and b then divide it.Like in a u cut zeroes and answer will come. cut all zeroes only.
Hi, if the question is reduce to lowest terms, then this is the answer.
a) 1/2
b) 1/4
c) 2/3
d) 2/5
g) 4/5
h) 4/7
i) 5/6
j) 6/7
How did this come?
In these questions, all are ending with 0. So, if you cut those zeroes, you will get a fraction, then check if can divide the fraction directly, else, write the fraction which you got directly after cancelling zero.
Hope it helps you...
Determine the perimeter of the shape to the nearest centimeter. (Picture included)
Answer:
44 cm
Step-by-step explanation:
So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.
Hope this helps! :D
The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
Point D divides AB into internal division ratio I:k, E point divides DC internal division ratio m : k+1, find the coordinates of point E.
Really don't know how to solve this, hope someone can help, thank you very much.
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
1. Write the following numbers in words:
(a) 74 325 (b) 43 711 (c) 19 560
(e) 67 459
(1) 25 302
(g) 36 721
(1) 62 897 () 37 264 (k) 45 129
(d) 75 434
(h) 78 065
(1) 43 275
numerals
Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answer:
f(1) = 0
f(2) = 4
f(3) = 8
Step-by-step explanation:
Substitute the values for the variable x.
[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]
When x= 1
y = 4(1) - 4
y = 0
when x = 2
y = 4(2) - 4
y = 4
when x = 3
y = 4(3) - 4
y = 8
PLEASE HELP
1= a-13/-6
Show your work in details if you can, I have a hard time understanding this.
Answer: 7
Step-by-step explanation:
1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6: 1= a-13/-6 ==> -6=a-13
2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13
3. you know -6+13 equals 7 right? so the answer is a=7
Hey there! I'm happy to help!
We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.
[tex]\frac{a-13}{-6} =1[/tex]
What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.
We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.
[tex]\frac{a-13}{-6} *-6=1*-6\\\frac{a-13}{1}=-6\\a-13=-6[/tex]
Now we add 13 to both sides to undo the -13 on the left side.
[tex]a-13+13=-6+13[/tex]
[tex]a+0=7\\a=7[/tex]
Have a wonderful day and keep on learning! :D
QUESTION 22
Change the following improper fractions into mixed numbers or whole numbers.
25/20 =
Answer:
1 1/4
Step-by-step explanation:
25/20=5/4=1 1/4
Hope this helps, thanks!
5. You are traveling along at 27 meters per second when you notice a stop light ahead, you deceleration to 0m/s
in 3 seconds. What is your acceleration?
Step-by-step explanation:
initial velocity= 27
final velocity= 0
time = 3 sec
now
a= 0-27/3
a=-9 m/s^2
Use the ÷10 pattern to fill in blanks 400 and 0.4
Answer:
400÷10=0.4
stay safe and healthy
What is the best measurement to eastimate the volume of a juice box
1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
which expression is equal to 72 +63 ?
a. 9(8+7)
b. 8(9+7
c. 7 (10+9)
d. 6 (12+10)
Answer:
Your answer is option a.
Answer:
a. 9(8+7)
Step-by-step explanation:
If you distribute the 9 into the equation, You're basically multiplying the 9 by each term so it really becomes:
(9*8) + (9*7)
Which leaves you with:
72 + 63
Help me with the e or how many you can
Please afsp
Answer:
(a)
sin²A×cos²A+sin⁴A
we will take sin²A as an common factor
so it become
sin²A×(cos²A+sin²A)
sin²A+cos²A=1
sin²A×1=sin²A
(c)
sinA×cotA
cotA= cosA/sinA
sinA×cosA/sinA=cosA
(e)
(1+sinA)²-(1-sinA)²
(a+b)²=a²+b²+2×a×b
(a-b)²=a²+b²-2×a×b
1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)
1+sin²A+2sinA-1-sin²A+2sinA=4sinA
(g)
(cosec²A-1)/cosec²A
cosecA=1/sinA
1/sin²A-1/1/sin²A
(1/sin²A-1)×sin²A
1-sin²A
1=sin²A+cos²A
sin²A+cos²A-sin²A=cos²A
(i)
sqrt(1+tan²A)×sqrt(1-cos²A)
1+tan²A=
1+sin²A/cos²A=
sin²A+cos²A/cos²A
sin²A+cos²A=1
=1/cos²A
1-cos²A
1=sin²A+cos²A
sin²A+cos²A-cos²=sin²A
sqrt(1/cos²A)×sqrt(sin²A)
1/cosA×sinA=sinA/cosA=tanA
have a great day
A cookie recipe calls for 4/3 cup of flour and makes 3 dozen cookies, Il Cassandra plans to make 18 dozen cookies, how many cups of does she need?
Answer:
8
Step-by-step explanation:
4/3 cup for 3 dozen.
how many cups for 18 dozen ?
what factor do I need to use to turn 3 into 18 ?
3×x = 18
x = 18/3 = 6
so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).
therefore, we need
4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.
INSTRUCTIONS: This is a numerical series. Find the missing item
10.0.18 0.36 0.72|?|2.88
A. 0.9
B. 1.26
C. 1.44
D. 1.62
Answer: C. 1.44
Step-by-step explanation:
Each number gets multiplied by 2, so it's an exponential series in a way.
You must multiply .72 by 2 to get 1.44.
each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls
Answer:
c is the answer
Which choices are equivalent to the expression below? Check all that apply.
5/3
O A. 15.15
B. 75
C. 45
D. 25/3
E. 75
F. 13.5
Help!! Truth table.
Thank you.
Answer:
these statements are not logically equivalent.
Step-by-step explanation:
steps are in picture.
If you have any question about it you can ask freely.
Troy is chasing his little brother kyle,but kyle got a 30 second head start.if kyle is traveling at 2 feet per second on
Answer:
20.
Step-by-step explanation:
when you add how far Kyle's already traveled you get sixty, the rest of the lecture explains the rest, leaving you with 20 seconds. Lol.
What is
6+4-3+9x10-7+3x28-2=
Answer:
172
Explanation:
Plss help number is 21952 and 115248
Answer:
Step-by-step explanation:
Bonjour,
2^4 * 7^3 => 16* 343 = 5488
21 952 / 5 488 =4
115 248/5 488 = 21
9514 1404 393
Answer:
2⁴·7³
Step-by-step explanation:
The set of primes that are factors of 21952 is {2, 7}.
The set of primes that are factors of 115248 is {2, 3, 7}.
Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.
The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.
The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.
So, the Highest Common Factor of the two numbers is 2⁴·7³.
The volume of a sphere is a function of its radius,
V=43πr3.
Evaluate the function for the volume of a volleyball with radius
11.6
cm.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6525\text{cm.}^3[/tex]
Keep in mind that this is APPROXIMATE.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Volume of a Sphere Is:}}\\\\V = \frac{4}{3} \pi r^3\\----------------\\\rightarrow \text{We are given the radius of } 11.6\text{ cm.}\\----------------\\V = \frac{4}{3}(3.14) (11.6)^3\\\\V = \frac{4}{3}(3.14) 1560.896\\\\V \approx 6534.95125\text{cm.}^3\\\\\boxed{V \approx 6535\text{cm.}^3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
please help me with these ones ok
Answer:
first question: reflection on the y axis
second question: reflection on the x axis
Step-by-step explanation:
ii) Ramesh asked me where I lived. (into direct speech)
Answer:
Ramesh asked me,"where do you live?"
Ramesh said to me," where do you live".
i need the answers for all three of those
Answer:
1) = -10
3) = 4
Step-by-step explanation:
Chow,...!
