Answer:
option B
Step-by-step explanation:
plz mark me brainlyiist :)
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
To find the driven miles per gallon of gass consumed , we only need to divide the drived miles by the amout of gallons consumed.
Which means :
[tex]50 \frac{1}{8} \div 2.5 = \\ [/tex]
[tex] \frac{50 \times 8 + 1}{8} \div \frac{25}{10} = \\ [/tex]
[tex] \frac{400 + 1}{8} \div \frac{25}{10} = \\ [/tex]
[tex] \frac{401}{8} \div \frac{25}{10} = \\ [/tex]
[tex] \frac{401}{8} \times \frac{10}{25} = \\ [/tex]
[tex] \frac{401 \times 5 \times 2}{25 \times 4 \times 2} = \\ [/tex]
2 s simplify
[tex] \frac{401 \times 5}{25 \times 4} = \\ [/tex]
[tex] \frac{2005}{100} = \\ [/tex]
[tex] \frac{2000 + 5}{100} = \\ [/tex]
[tex] \frac{2000}{100} + \frac{5}{100} = \\ [/tex]
[tex]20 + \frac{5}{100} = \\ [/tex]
[tex]20 + \frac{1}{20} = \\ [/tex]
[tex]20 \frac{1}{20} \\ [/tex]
Thus the correct answer is the first option .
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4. When simplified, what is the value of 175, if i2 = – 1.
Answer:
5i[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
i² = - 1 ⇒ i = [tex]\sqrt{-1}[/tex]
Given
[tex]\sqrt{-175}[/tex]
= [tex]\sqrt{25(7)(-1)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{7}[/tex] × [tex]\sqrt{-1}[/tex]
= 5i[tex]\sqrt{7}[/tex]
Answer:
[tex]5i\sqrt{7}[/tex]
Step-by-step explanation:
In order to solve this question we need to know how to multiply roots. You will need to understand that when we multiply [tex]\sqrt{a}[/tex] by [tex]\sqrt{b}[/tex], the following is true.
[tex](\sqrt{a})(\sqrt{b}) = \sqrt{ab}[/tex] (1)
From the question it self we know that [tex]\sqrt{ab}[/tex] is equal to [tex]\sqrt{-175}[/tex]. We also know that [tex]i^{2} = -1[/tex] or in other words [tex]i = \sqrt{-1}[/tex].
Now we will need to factors [tex]\sqrt{-175}[/tex] so that at the end we will end up representing [tex]\sqrt{-175}[/tex] as a product of [tex]\sqrt{-1}[/tex] and some other number. In order to determine the unknown number we will just have to divide [tex]\sqrt{-175}[/tex] by [tex]\sqrt{-1}[/tex]. From the equation (1) that I mention at the start we can figure out that......
[tex]\sqrt{a} = \frac{\sqrt{-175} }{\sqrt{-1} } = \sqrt{175}[/tex] (in our case [tex]\sqrt{a}[/tex] is the unknown number we are trying to find)
Now we can rewrite [tex]\sqrt{-175}[/tex] as the following.....
[tex]\sqrt{-175} = (\sqrt{175})(\sqrt{-1})[/tex]
From here we substitute [tex]\sqrt{-1}[/tex] with [tex]i[/tex] and simplify [tex]\sqrt{175}[/tex]. In order to simplify [tex]\sqrt{175}[/tex] we will have to factor [tex]\sqrt{175}[/tex] in a way that we will see [tex]\sqrt{175}[/tex] as a multiple of a perfect square root. An so we get the following
[tex]\sqrt{-175} = (\sqrt{175})(i) = (\sqrt{7})(\sqrt{25} )(i) = (\sqrt{7})(5)(i) = 5i\sqrt{7}[/tex]
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 19 lb
Answer:
0.315 per lb
Step-by-step explanation:
what is 1696 divided by 43
Answer:
39.44
Step-by-step explanation:
Answer:
39.4418605
Step-by-step explanation:
Consider the following functions.
f(x)=2x^2+4x+10
g(x)=3x-11
h(x)=3x^3+x^2=21
The value of h(f(g(2)))
Answer:
Step-by-step explanation:
h(f(g(2)))=
h(f(3*2-11))) = h(f( -5))=
h((2*(-5)^2) +4*(-5) +10) = h (50 -20 +10) = h(40)
now calculate h(40) but check if you wrote corectly the equation
Show that the cosine law simplifies to the Pythagorean theorem when the contained angle between the two known sides is 90°.
Answer:
See Below.
Step-by-step explanation:
We want to show that the Law of Cosines simplifies to the Pythagorean Theorem when the contained angle between the two known sides is 90°.
The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]
Where a and b are the two known sides, and C is the angle between them.
If C is 90° then we will have:
[tex]c^2=a^2+b^2-2ab\cos(90 ^\circ)[/tex]
Recall that the cos(90°)=0. Hence:
[tex]c^2=a^2+b^2-2ab(0)[/tex]
Simplify:
[tex]c^2=a^2+b^2[/tex]
So, we acquire the Pythagorean Theorem as desired.
Analyze Timothy's steps. Is he correct? If not, why not? Yes, he is correct. No, he needed to add the exponents when he simplified the powers of the same base. No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction. No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Complete question is;
Tiothy evaluated the expression using x = 3 and y = –4. The expression is (xy^(-2))/(3x²y^(−4))
1. (1/3)x^(−1)(y²) 2. ((1/3)^(3−1))(−4²) 3. (1/3)(1/3)(−4)² 4. (1/3)(1/3)(−16) 5. −16/9 Analyze Timothy's steps. Is he correct? If not, why not?
A) Yes, he is correct.
B) No, he needed to add the exponents when he simplified the powers of the same base.
C) No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction.
D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Answer:
D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.
Step-by-step explanation:
The expression is;
(xy^(-2))/(3x²y^(−4))
Simplifying this using law of indices gives;
⅓(x^(1 - 2)) × (y^(-2 -(-4))
This gives;
= (⅓x^(-1)) × y²
= ⅓ × (1/x) × y²
We are told that x = 3 and y = –4, thus;
= ⅓ × ⅓ × (-4)²
Square of a negative number is positive, thus (-4)² = 16
Thus;
⅓ × ⅓ × (-4)² = 16/9
Looking at the answer Timothy got, it's clear he made a mistake of not getting a positive number when he squared -4.
Thus,option D is the correct answer.
Answer:
D
Step-by-step explanation:
i got it correct
Complete the solution of the equation. Find the value of y when x equals 7. x - 4y = 19 Enter the correct answer.
Answer: the correct answer is to teacha don’t like you assigning this bullish!+ when will you ever in your life use this feel bad for y’all I dropped out
Step-by-step explanation:
help please its math
9514 1404 393
Answer:
partial products: 0.25, 1.5, 0.50, 3Zoe spent $5.25 on applesStep-by-step explanation:
The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:
1.5 × 3.50 = (1 + 0.5)(3 + 0.50) = 1×3 + 0.5×3 +1×0.50 +0.5×0.50
= 3 + 1.5 + 0.50 + 0.25 . . . . . partial products
Their sum is ...
3 + 1.5 + 0.50 + 0.25 = 5.25
Zoe spent $5.25 on apples.
i don't understand them
7: Answer: [tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]
Substitute the value of Y:
[tex]-2x-3(10x-11)=-7[/tex]
Solve for X:
[tex]-2x-3(10x-11)=-7[/tex]
[tex]x=\frac{5}{4}[/tex]
Substitute the value of X:
[tex]x=\frac{5}{4}[/tex]
[tex]y=10*\frac{5}{4}-11[/tex]
Solve for Y:
[tex]y=10*\frac{5}{4}-11[/tex]
[tex]y=\frac{3}{2}[/tex]
Solution:
[tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]
8: Answer: [tex](x,y)=(3,-2)[/tex]
Substitute the value of Y:
[tex]4x-3*(-2)=18[/tex]
Solve for X:
[tex]4x-3*(-2)=18[/tex]
[tex]x=3[/tex]
Solution:
[tex](x,y)=(3,-2)[/tex]
9: Answer [tex](x,y)=(0,-2)[/tex]
Substitute the value of Y:
[tex]-3x+6(-2+5x)=-12[/tex]
Solve for X:
[tex]-3x+6(-2+5x)=-12[/tex]
[tex]x=0[/tex]
Substitute the value of X:
[tex]x=0[/tex]
[tex]y=-2+5*0[/tex]
Solve for Y:
[tex]y=-2+5*0[/tex]
[tex]y=-2[/tex]
Solution:
[tex](x,y)=(0,-2)[/tex]
10: Answer [tex](x,y)=(-3,-6)[/tex]
Substitute the value of Y:
[tex]-5x-(6+4x)=21[/tex]
Solve for X:
[tex]-5x-(6+4x)=21[/tex]
[tex]x=-3[/tex]
Substitute the value of X:
[tex]x=-3[/tex]
[tex]y=6+4x(-3)[/tex]
Solve for Y:
[tex]y=6+4x(-3)[/tex]
[tex]y=-6[/tex]
Solution:
[tex](x,y)=(-3,-6)[/tex]
Please mark me brainliest if this helped you :)
If a cookie recipe has 2 cups of sugar for each cup of flour, how much sugar would you use if you used 6 cups of flour?
Answer:
12 Cups
Step-by-step explanation:
s = 2f
If f = 6
S = 2 x 6
s = 12
Answer:
well u will need to multiply 2 times 6 and it will be 12 can i get brainlyist
Step-by-step explanation:
Plz help me with this equation.
Answer:
y=-1/4x+1
Step-by-step explanation:
The perpendicular equations slope is the negative reciprocal of the other lines, so if I had 2 as a slope, the perpendicular line's slope would be -1/2, I think. Then you just use the found slope and the given point to solve for b, then use the b value you get for the final equation.
Show your work F(x)=5x^2-4x+1 G(x)=3x-2 H(x)=x+1 K(x)= 4x What is (g*h)(x)= What is g(k(x))= What is k(g(0)) =
Answer:
— What is (g × h)(x)?
The answer is 3x²+x-2
— What is g(k(x))?
The answer is 12x - 2 or 2(6x-1)
— What is k(g(0))
The answer is -8
Explanation:
Given these functions —
[tex]f(x) = 5 {x}^{2} - 4x + 1 \\ g(x) = 3x - 2 \\ h(x) = x + 1 \\ k(x) = 4x[/tex]
Find (g × h)(x)
[tex](g \times h)(x) = g(x) \times h(x)[/tex]
Substitute g(x) = 3x - 2 and h(x) = x + 1
[tex](3x - 2) \times (x + 1) \\ (3x - 2)(x + 1)[/tex]
Multiply the polynomial.
[tex]3 {x}^{2} + 3x - 2x - 2[/tex]
Subtract - 2x out of 3x —
[tex]3 {x}^{2} + x - 2[/tex]
Thus, the answer is —
[tex](g \times h)(x) = 3 {x}^{2} + x - 2[/tex]
Find (g(k(x))
Substitute k(x) = 4x in g(x).
[tex]g(x) = 3x - 2 \\ k(x) = 4x[/tex]
[tex]g(k(x)) = g(4x)[/tex]
[tex]g(4x) = 3(4x) - 2[/tex]
Distribute 3 in 4x —
[tex]g(4x) = 12x - 2[/tex]
Thus the answer is —
[tex]g(k(x)) = 12x - 2[/tex]
Alternative Solution
[tex]g(k(x)) = 2(6x - 1)[/tex]
Find k(g(0))
Given two functions — k(x) and g(x)
[tex]k(x) = 4x \\ g(x) = 3x - 2[/tex]
Evaluate the value of g(0) as we substitute x = 0 in g(x)
[tex]g(0 ) = 3(0) - 2 \\ g(0) = 0 - 2 \\ g(0) = - 2[/tex]
Since we need to find k(g(0)), our currently input is g(0).
From k(x) and g(0) —
[tex]k(x) = 4x \\ g(0) = - 2[/tex]
Substitute g(0) = -2 in k(x)
[tex]k(g(0)) = 4(g(0)) \\ k( - 2) = 4( - 2) \\ k( - 2) = - 8[/tex]
Thus, the answer is —
[tex]k(g(0)) = - 8[/tex]
SOLVE THE PROBLEM, PLEASE! :(
Answer:
x=-2
y=-5
Step-by-step explanation:
3x-y=-1
-3x+4y=-14
_________
-3y=-15
__. __
-3. -3
y=5
3x-(-5)=-1
3x+5=-1
-5. -5
_______
3x=-6
---. ---
3. 3
x=-2
I got nut in my but just finished giving head locked up with the feds took a lot of meds I gotta go to bed before i cut my dreads met up with my hommie his name Fred give me a pinciple I think I need some led
Answer:
what are you talking about???
Step-by-step explanation:
brainliest and chill bro
A bag contains 3 blue marbles, 2
green marbles and 1 red marble.
What is the probability of pulling a
red marble from the bag?
a) 12
b) 1/3
c) 1/5
d) 1/6
Help ASAP
Answer:
D 1/6
Step-by-step explanation:
There are 6 total marbles and only one of them is red so
1=red
6=total
1/6
PLZ MARK ME BRAINLIEST
shopper bought a 12-pound bag of oranges for $18.72. How much did it cost per pound?
PLZ HELP
Answer:
$1.56 d per pound
Step-by-step explanation:
18.72/12= 1.56
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answer:
[tex] m\angle CBE = 60\degree \\
m\angle FEB = 40\degree [/tex]
Step-by-step explanation:
If the given triangle is drawn to scale, then on measuring the required angles with protractor, we find:
[tex]m\angle CBE = 60\degree \\
m\angle FEB = 40\degree \\[/tex]
Roger grew 42 plants with 14 seed packets. With 16 seed packets, how many total plants can Roger have in his backyard?
Answer:
48 plants
Step-by-step explanation:
the picture. and answer 1-6. please hurry
Answer:
Step-by-step explanation:
From the figure attached,
1). Sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{EF}{DF}[/tex]
= [tex]\frac{24}{26}[/tex]
= [tex]\frac{12}{13}[/tex]
2). Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{ED}{DF}[/tex]
= [tex]\frac{10}{26}[/tex]
= [tex]\frac{5}{13}[/tex]
3). tan(D) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{EF}{DE}[/tex]
= [tex]\frac{24}{10}[/tex]
= [tex]\frac{12}{5}[/tex]
4). sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{DE}{DF}[/tex]
= [tex]\frac{10}{26}[/tex]
= [tex]\frac{5}{13}[/tex]
5). cos(F) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{EF}{DF}[/tex]
= [tex]\frac{24}{26}[/tex]
= [tex]\frac{12}{13}[/tex]
6). tan(F) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{DE}{EF}[/tex]
= [tex]\frac{10}{24}[/tex]
= [tex]\frac{5}{12}[/tex]
Enter the number in two equivalent froms
The decimal equivalent is 0.60, and the percent is 60%. If you do 3/5, you get 0.60, and to get the percentage, you move the decimal two to the right, and add the percent sign. I hope you understand. :)
What is 13/21as a decimal rounded to 3 decimal places?
Answer:
0.619
Step-by-step explanation:
Answer:
0.619
Step-by-step explanation:
Fist divide 13/21. I used a claulator since thats allows in my class. When you do that you get 0.619047619. to round we look at the thrid and fourth decimal places, which are 9 and 0. Since zero is less than nine we round down to get the answer.
Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.
help plz i need this done
Answer:
x ≈ 11.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle = 35°
Opposite Leg = x
Hypotenuse = 20
Step 2: Solve for x
Substitute [sine]: sin35° = x/20Isolate x: 20sin35° = xEvaluate: 11.4715 = xRewrite: x = 11.4715Round: x ≈ 11.5Select all the solutions to (x - 2)2 = -16.
a
x = 6
b
X = -2
с
x = -6
d
x = 2 + 4i
e
X = 2 + 2i
f
x = 2 - 2
bin
X = 2 - 4
Answer:
d and g
Step-by-step explanation:
Given
(x - 2)² = - 16 ( take the square root of both sides )
x - 2 = ± [tex]\sqrt{-16}[/tex] = ± [tex]\sqrt{16(-1)}[/tex] = ± 4i ( add 2 to both sides )
x = 2 ± 4i
Thus
x = 2 + 4i → (d)
x = 2 - 4i → (g)
Can anyone tell me theorem of Parallelogram*#
Answer:
Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
Step-by-step explanation:
Hope this helps!!!
Which equation is a line that is parallel to the x-
axis and passes through the point (5,2)?
Answer:
y = 2
Step-by-step explanation:
Since the line is parallel to the x-axis,
the gradient, m = 0
From the point, we know that
x = 5
y = 2
So y = 2 is the line that parallel to x-axis
NEED HELP ASAP‼️‼️‼️‼️‼️‼️ IL CASH APP 20$ IF CORRECT ‼️‼️‼️‼️What is the solution to this system?
{2x + y = 8
{y = 2x + 4
Answer:
x = 1 and y = 6
Step-by-step explanation:
Add these equations
-2x+y=4
2x+y=8
2y=12
2
y = 6
Plug in 12 for y.
-2x+(6) = 4
-6 -6
-2x = -2
-2
x = 1
Brainliest to correct answer. Please help!!! Last year, Trevor gave $5,462 to his local charity, which he calculated as 22.5% of his yearly salary. How much money does Trevor make in a year?
Answer:
6 690.95 US$
Step-by-step explanation:
8 cans of corn cost $16. What is the cost per can?
Answer:
Step-by-step explanation:
$16 / 8 cans = $2 per can
Solve the system of linear equations.
−x+2y=7
x−2y=7