Answer:
A, B, B
Step-by-step explanation:
which of the following is equivalent to 18-
[tex] \sqrt{ - 25} [/tex]
a 5i
b 18-5i
c 18+5i
d 23
Answer:
[tex]18-\sqrt{-25}[/tex]
[tex]\sqrt{-25} =5i[/tex]
[tex]=18-5i[/tex]
OAmalOHopeO
what is the quotient
Answer:
The quotient is 4x+5 and the remainder is -13
Step-by-step explanation:
Using synthetic division
-5 4 25 12
Bringing down the 4 and multiplying
-5 4 25 12
↓ -20 -25
----------------------
4 5 -13
The quotient is 4x+5 and the remainder is -13
Answer:
4x +5 [tex]\frac{-13}{x+5}[/tex]
Step-by-step explanation:
. 4x +5 [tex]\frac{-13}{x+5}[/tex]
x + 5 | 4x^2 + 25x + 12
- 4x^2 + 20x
5x + 12
5x + 25
-13
Keith used the following steps to find the inverse of f, but he thinks he made a error
f(x) = 7x + 5
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol{} f(x) \ \ inverse \ \ function \ \ (f(x))^{-1} \\\\ y=7x+5 \\\\x=7y+5 \\\\ y=\dfrac{x-5}{7} \ \ or \ \ f(x)^{-1}= \dfrac{x-5}{7}[/tex]
A polynomial p is graphed. What could be the equation of p? Choose 1 answer:
A. p(x) = x( x + 2)(2x + 7)
B. p(x) = x(x - 2)(2x - 7)
C. p(x) = x(2x) (7/2x)
D. p(x) = x(-2x)(- 7/2x)
Answer:
[tex]\text{B. }p(x)=x(x-2)(2x-7)[/tex]
Step-by-step explanation:
The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at [tex]x=0[/tex], [tex]x=2[/tex], and [tex]x=3.5[/tex]. These values of [tex]x[/tex] should produce an output of 0 when plugged into the function.
Therefore, the equation of the function graphed is [tex]\boxed{\text{B. }p(x)=x(x-2)(2x-7)}[/tex]
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4,8)
(0,0)
. 10
10
The answer is y= -2x.
The equation of the line passing through points (0, 0) and (-4, 8) is y = -2x
What is an equation of line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given is a graph of a line passing through points (0, 0) and (-4, 8), we need to find the equation of the line,
We know that, the equation of a line passing through two points is given by,
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (-4, 8)
So, the equation of the line =
y-0 = 8/(-4) (x-0)
y = -2x
Hence, the equation of the line passing through points (0, 0) and (-4, 8) is y = -2x
Learn more about equation of line, click;
https://brainly.com/question/21511618
#SPJ7
guys, please help its graph-related. please i will dieeee
(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.
(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.
A is the point (-4, 2), and B is the point (2, -4). So the length of AB is
√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72
A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is
√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72
Then the dilation factor is
(2√72) / √72 = 2
As for dying, don't worry about it. It happens to everyone.
write a inequality phrase: you have to be at least 21 years of age
Answer:
[tex]a\geq 21[/tex]
Step-by-step explanation:
"At least" is inclusive, so you can be 21 years old.
Answer:
a≥ 21
Step-by-step explanation:
Let a = age
At least means greater than or equal to
a≥ 21
Explain how to solve 5^(x-2)= 8 using the change of base formula
Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 5^{x -2}= 8 [/tex]
Take log on both sides with base as " 10" . We have ,
[tex]\sf\longrightarrow log_{10} 5^{x-2}= log_{10}\ 8[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow ( x -2) log_{10} 5 = log_{10} 8 [/tex]
Simplify ,
[tex]\sf\longrightarrow ( x -2 ) log_{10}5 = log_{10} 2^3[/tex]
Again simplify using the property of log ,
[tex]\sf\longrightarrow (x-2) log 5 = 3 log 2[/tex]
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
[tex]\sf\longrightarrow ( x - 2 ) = \dfrac{ 3\times 0.301}{0.69}[/tex]
Simplify the RHS ,
[tex]\sf\longrightarrow x - 2 = 1.30 [/tex]
Add 2 both sides ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 3.30}}[/tex]
Hence the Value of x is 3.30 .
Answer:
its actually 3.292 because we round to the nearest thousandth and thats not even the equation you use above
Step-by-step explanation:
For this equation we use the formula log a^m=m (log a) so the equation will be written as log 5 (5^x-2) = log 5 (8). You use the base, which is 5, and use log to base 5 on both sides of the equation. Then you take the exponent " x-2" and write( x-2) log 5 (5) = log 5(8). Since log a =1, you multiply that 1 by x-2, which keeps it x-2. Making the equation x-2 = log 5 (8). Next, we use the change of the base properties with the formula log b^y= log y/ log b. The equation will be written as x-2 = log 8/ log 5, since 5 is the base it stays in the bottom or basement. We then add +2 to both sides of x-2 and log 8/ log 5. To solve this equation, you can find out what log 8 and log 5 are and divide those and add +2 to solve. So log 8 = 0.903 and log 5 = 0.698970 and divide those to get 1.29190 +2 and you get the answer rounded as 3.292.
If 4 over 7 ton of concrete covers 7 over 8 of a bridge, how many tons of concrete are required to cover the entire bridge?
Answer:
Your answer would be 32/49.
Step-by-step explanation:
4/7 tons = 7/8 x
4/7 / 7/8
32/49
The tons of concrete are required to cover the entire bridge is 32/49 tons.
What are fractions?A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.
How many tons is needed to cover the whole bridge?To determine this value, divide 4/7 by 7/8
4/7 ÷ 7/8
4/7 x 8/7 = 32/49 tons
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
A cash register at a store contains $277 bills. There are six more $5 bills than $10 bills. The number of $1bills is two more than 24 times the number of $10 bills. How many bills of each kind are there
Answer: See explanation
Step-by-step explanation:
Your question isn't well written, the store contains $227 and not $277.
let c be the number of $1 bills
let f be the number of $5 bills
let t be the number of $10 bills.
Therefore, the equation will be:
1c + 5f + 10t = 227
Since there are six more $5 bills than $10 bills, therefore,
f = t+6
Also, the number of $1 bills is two more than 24 times the number of $10 bills and this will be:
c = 24t + 2
Now, we substitute the equation for f and c into the main equation and this will be:
1c + 5f + 10t = 277
1(24t + 2) + 5(t + 6) + 10t = 227
24t + 2 + 5t + 30 + 10t = 227
39t + 32 = 227
39t = 227 - 32
39t = 195
t = 195/39
t = 5
Therefore, there are 5 $10 bills
Since c = 24t + 2
c = 24(5) + 2
c = 120 + 2
c = 122
Therefore, there are 122 $1 bills
Since f = t+6
f = 5+6
f = 11
Therefore, there are 11 $5 bills.
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
? =30
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 25/50
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 ( 1/2)
? =30
What is the surface area of a sphere with a diameter of 14 cm?
Question 6 options:
175.84 cm^2
351.68 cm^2
615.44 cm^2
2461.76 cm^2
Show your work:
9514 1404 393
Answer:
(c) 615.44 cm^2
Step-by-step explanation:
The surface area of a sphere is given by ...
A = 4πr² . . . . where r is the radius, half the diameter
A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²
solve
[tex]100 {5}^{2} - 500 {5}^{6} [/tex]
Please help before 9:00 pm
*Please Help!*
What is the volume of water, to the nearest tenth of a cubic metre, that would fill this spa tub?
First cylinder= 0.75m diameter, 0.80m height
Cylinder Underneath= 1.25m diameter, 0.70m height
Semi Sphere that holds both cylinders= 3m long
Answer:
The volume of water that will fill the spa tub is 5.9 cubic meters.
Step-by-step explanation:
Volume of water that would fill the spa tub = volume of semi sphere - (volume of the first cylinder + volume of the second cylinder)
i. volume of first cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h is the height of the cylinder.
r = [tex]\frac{0.75}{2}[/tex] = [tex]\frac{3}{8}[/tex]
= 0.375 m
h = 0.80 m
volume of the first cylinder = [tex]\frac{22}{7}[/tex] x [tex](\frac{3}{8} )^{2}[/tex] x 0.8
= 0.3536 cubic meters
ii. volume of the cylinder underneath = [tex]\pi[/tex][tex]r^{2}[/tex]h
r = [tex]\frac{1.25}{2}[/tex] = [tex]\frac{5}{8}[/tex]
= 0.625
h = 0.70 m
volume of the cylinder underneath = [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{8}) ^{2}[/tex] x 0.7
= 0.8594 cubic meters
iii. volume of the semi sphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius = 1.5 m
volume of the semi sphere = [tex]\frac{2}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]
= 7.0714 cubic meters
Thus,
volume of the water to fill the spa tub = 7.0714 - (0.3536 + 0.8594)
= 5.8584
The volume of water that will fill the spa tub is 5.9 cubic meters.
Please help I don’t understand how to solve this !
Answer:
x = 30
Step-by-step explanation:
x + 2x + 3x = 180
6x = 180
6 6
x = 30
A library has 160 books. 3/8 are story books, 1/4 are poetry books and the remainder are books. What fraction is comic books?
Answer:
1/8
Step-by-step explanation:
1/4*2/2=4/8
4/8+3/8=7/8
1-7/8=1/8
PLEASE HELP WILL GIVE BRAINSLIST
Answer: 3. 55° 2. 225° 1. 125°
Step-by-step explanation: don't want brainliest
Urgent i need help!!…….
Answer:
Step-by-step explanation:
These are similar triangles. We know that because we know that all right triangles are similar. The height of the red one is 8 and the height of the blue one is 4; that means that the red one is twice the size of the blue one; likewise, the blue one is half the size of the red one. That means that ALL the measurements of these triangles exist in that ratio...even the base of the blue one. If the base of the red one is 3, and the red one is twice the size of the blue one, then the base of the blue one is 3/2 or 1.5. I can't see your choices because they are too small.
Find the center and radius of the circle whose equation is x 2 + y 2 - 6x - 2y + 4 = 0
Answer:
[tex]{ \tt{ {x}^{2} + {y}^{2} - 6x - 2y + 4 = 0 }} [/tex]
Center:
[tex]{ \tt{(3, \: 1)}}[/tex]
Radius:
[tex]{ \tt{radius = \sqrt{ {g}^{2} + {f}^{2} - c } }} \\ = \sqrt{36 + 4 - 4} \\ = 6 \: units[/tex]
Porfa es para un examen xD
Answer: -13
Step-by-step explanation:
M(3) → x = 3M(2) → x = 2[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]
verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7
Given:
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
To verify:
[tex]a(b-c)=ab-ac[/tex] for the given values.
Solution:
We have,
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
We need to verify [tex]a(b-c)=ab-ac[/tex].
Taking left hand side, we get
[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]
[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]
Taking LCM, we get
[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]
Taking right hand side, we get
[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]
[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]
[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]
Taking LCM, we get
[tex]ab-ac=\dfrac{-28-40}{35}[/tex]
[tex]ab-ac=\dfrac{-68}{35}[/tex]
Now,
[tex]LHS=RHS[/tex]
Hence proved.
Help this is due in 10 mins
Answer:
Only A is true
for sure
....................
PLS HELP 10 POINTS!!!
Identify the term whose coefficient is -12 in the expression:
98x – 12xy2 - 15xy2
Answer:
[tex] - 12xy {}^{2} [/tex]
Step-by-step explanation:
A coefficient is a rational number in front of multiple consecutive terms.
expand this question (x+5)(x-3)
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.
[ x + y = 90 ; x = 14 + 3y ]
Answer:
fourteen times six equals eighty-four, eighty-four plus six equals 90
v=u + 2at
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the
acceleration (in m/s?) and t is the time in seconds).
Find v when u is 35 m/s, a is 28 m/s2, and t is 58 seconds.
Answer:
3283m/s
Step-by-step explanation:
V=U+2at
V=35+2(28)(58)
V=35+3248
V=3283m/s
Im not exactly understanding this question. Can someone please help me and possibly explain this to me?
Answer:
From the graph, when x=-6, y=1
so, your answer is A) f(x)=∛(x-6)+1
OAmalOHopeO
Question 6 of 10
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cen
(0) - P(144
A $674,43
B. $886,41
C, 5669.11
D. $512,68
9514 1404 393
Answer:
A. $674.43
Step-by-step explanation:
The account balance is given by ...
A = P(1 +r/12)^(12t) . . . . . principal P invested at annual rate r for t years
A = $500(1 +0.06/12)^(12·5) = $500(1.005^60)
A ≈ $674.43
Gary's income and expenses in a month are 4,000 and 3,360 respectively.
a) What percentage of his income are expenses?
b) What percentage of his income is savings?
(SHOW YOUR WORK!)
Answer:
84%
Step-by-step explanation:
3360/4000=.84
.84=84%
What is the value of x in the triangle below?
A. 18
B. 15
C. 6
D. 45
Answer:
it is b I already took it I just checked again