Answer:
D.
Step-by-step explanation:
[tex] \sqrt{-75} = \sqrt{-1 \times 75} = \sqrt{-1 \times 25 \times 3} = 5i\sqrt{3} [/tex]
The square root of the given number is 5i√3. Therefore, option D is the correct answer.
What is the square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
The given number is √(-75).
Here, √(-75) can be written as √(-25×3)
= 5i√3
Therefore, option D is the correct answer.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ2
Which of the following options have the same value as 10% of 332
Choose 3 answers:
Answer:
33.2
Step-by-step explanation:
Multiply 332 by 0.1
or 332/10=33.2
one less than the quotient of a number and -5
Answer:
(-x/5) - 1
Step-by-step explanation:
Step 1: Translate word into math
one less = - 1
quotient of a number and -5 = x/-5
Step 2: Combine
(x/-5) - 1
Step 3: Simplify
(-x/5) - 1
Write an absolute value equation that has solution x = -6 and x = 10
Answer:
|x - 2| = 8
Step-by-step explanation:
The midpoint between -6 and 10 is;
(-6 + 10)/2 = 4/2 = 2
This means that the distance between 2 and either -6 or 10 will be 8.
Now, the absolute value equation will have to say that the distance between x and 2 is 8.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation:
|x - 2| = 8
Question 1 (2 points) The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. a. What is the time in seconds the toy robot moves when the total distance is 408 centimeters? Seconds b. What is the distance in centimeters the toy robot moves after 3 seconds? Centimeters
Answer:
a. [tex]T = 17s[/tex]
b. [tex]D = 72cm[/tex]
Step-by-step explanation:
Given
Direct Variation
[tex]Distance(D)\ \alpha\ Time (T)[/tex]
D = 264 cm when T = 11 s
Calculating (a)
First, the constant of variation (k) as to be calculated;
Since, there exist a direct proportion; then,
[tex]D\ \alpha\ T[/tex]
[tex]D = kT[/tex]
Make k the subject of formula
[tex]k = \frac{D}{T}[/tex]
D = 264 cm when T = 11 s; So
[tex]k = \frac{264}{11}[/tex]
[tex]k = 24[/tex]
So: Solving for (a)
[tex]D = 408[/tex]
Substitute 408 for D and 24 for k in [tex]D = kT[/tex]
[tex]408 = 24 * T[/tex]
Divide both sides by 24
[tex]\frac{408}{24} = T[/tex]
[tex]T = \frac{408}{24}[/tex]
[tex]T = 17s[/tex]
Hence, time to move a distance of 408cm is 17s
Calculating (b)
[tex]T = 3[/tex]
Substitute 3 for T and 24 for k in [tex]D = kT[/tex]
[tex]D = 24 * 3[/tex]
[tex]D = 72cm[/tex]
Hence, distance covered in 3 seconds is 72cm
find the value of X and y from the figure
Answer:
180° = x + (2x -15)
180°=3x-15
3x = 195
x =65°
x + y = 180°
65+ y= 180°
y = 115°
Answer:
x = 65, y = 115
Step-by-step explanation:
x and 2x - 15 are adjacent angles and supplementary, thus
2x - 15 + x = 180
3x - 15 = 180 ( add 15 to both sides )
3x = 195 ( divide both sides by 3 )
x = 65
y and 2x - 15 are congruent ( alternate angles ), thus
y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115
I need help with this!!!
Answer:
1. quarant 2
2. quadrant 1
3. quadrant 2
4. quadrant 4
5. quadrant 4
6. quadrant 2
7.quadrant 2
8. quadrant 3
Step-by-step explanation:
Ugh, I hate math but... I got to stay positive... PLEASE HELP ME
Answer:
h(4)= -2
Step-by-step explanation:
plug in 4 into the x:
h(4)=-4+2=-2
What is the degree of the following Polynomial? 6xy4 - 3x3 - 4
Answer:
5th degree polynomial
Step-by-step explanation:
The degree of a polynomial is the highest sum of the exponents in one term.
So we have the polynomial:
[tex]6xy^4-3x^3-4[/tex]
Calculate the degree of each term:
1st Term:
[tex]6xy^4[/tex]
This is the same as:
[tex]6x^1y^4[/tex]
So, our degree is 1+4=5.
2nd Term:
[tex]-3x^3[/tex]
There is only one variable. So, the degree is 3.
3rd Term:
[tex]-4[/tex]
This is the same as:
[tex]-4x^0[/tex]
So, this is a zeroth degree.
The largest degree is 5.
So, this is a fifth degree polynomial.
Notes:
To be more specific, this is a fifth degree trinomial.
Answer:
third degree
Step-by-step explanation:
it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation
13f + 6 -f = -3
help?
Answer:
f = -3/4
Step-by-step explanation:
13f + 6 -f = -3
Combine like terms
12f +6 = -3
Subtract 6 from each side
12f+6-6 = -3-6
12f = -9
Divide each side by 12
12f/12 = -9/12
f = -3/4
Answer:
f= -3/4 or -0.75
Step-by-step explanation:
We are given the equation:
13f + 6 -f = -3
First, let's combine like terms. Subtract f from 13f.
(13f-f) + 6 = -3
12f + 6= -3
We want to find f. Therefore, we must isolate the variable on one side of the equation.
6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
12f + 6 -6 = -3-6
12f= -3-6
12f= -9
f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.
12f/12= -9/12
f= -9/12
This fraction can be reduced. Both the numerator and denominator can be divided by 3.
f = (-9/3) / (12/3)
f= -3/4
f=-0.75
The solution to the equation is f= -3/4 or -0.75
find the perimeter of rhombus star
Answer:
[tex] 4\sqrt{10} [/tex]
Step-by-step explanation:
Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.
The coordinates of its vertices are given as,
S(-1, 2)
T(2, 3)
A(3, 0)
R(0, -1)
Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.
[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
S(-1, 2) => (x1, y1)
T(2, 3) => (x2, y2)
[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]
[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
T(2, 3) => (x1, y1)
A(3, 0) => (x2, y2)
[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]
[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
A(3, 0) => (x1, y1)
R(0, -1) => (x2, y2)
[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]
[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
R(0, -1) => (x1, y1)
S(-1, 2) => (x2, y2)
[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]
[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] Perimeter = ST + TA + AR + RS [/tex]
[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]
Which is a solution to the equation? (x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2
Answer:
Solutions:
[tex]x=-7[/tex]
[tex]x=4[/tex]
Step-by-step explanation:
[tex](x-2)(x + 5) = 18[/tex]
Expanding the factored form:
[tex]x^2+5x-2x-10=18[/tex]
[tex]x^2+3x-28=0[/tex]
Factoring the second-degree polynomial:
[tex](x+7)(x-4)=0[/tex]
This is true for
[tex]x=-7 \text{ or } x=4[/tex]
Answer:
B
Step-by-step explanation:
51.68 feet per hour. Convert this speed to inches per minute.
Answer:
10.336.
Step-by-step explanation:
There are 12 inches in 1 foot so 51.68 ft/hr
= 51.68 * 12 in/hr.
Now there are 60 minutes in an hour so the speed in inches/minute
= 51.68 * 12 / 60
= 10.336.
The density of a certain material is such that it weighs 6 pounds per pint of volume.
Express this density in grams per liter. Round your answer to the nearest whole
number.
*Note: you must use these exact conversion factors to get this question right.
Weight / mass
Volume
1 pound (lb) = 16 ounces (oz)
1 cup (cup) = 8 fluid ounces (fl oz)
i ton (ton) = 2000 pounds (lb)
1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)
i quart (at) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (8)
1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (8)
1 cubic foot (ft") = 7.481 gallons (gal)
1 pound (1b) = 0.454 kilograms (kg) 1 liter (L) = 1000 milliliters (mL)
1 cubic meter (m) = 1000 liters (L)
1 gallon (gal) = 3.785 liters (L)
i fluid ounce (fl oz) = 29.574 milliliters (mL)
Answer:
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) is 5756.75 g/L
Step-by-step explanation:
The density of the material is 6 pounds per pint of volume
The given conversion factors are;
1 pint (pt) = 2 cups (cups)
1 cup (cup) = 8 fluid ounces (fl oz)
Therefore;
2 cups (cups) = 2 × 8 fluid ounces = 16 fl oz
Also given;
1 fluid ounce = 29.574 mililiters (mL)
16 fl oz = 16 × 29.574 mL = 473.184 mL
1 liter (L) = 1000 mililiters (mL)
∴ 1 mL = 1/1000 L = 0.001 L
473.184 mL = 473.184 × 0.001 L = 0.473184 L
1 pound (lb) = 0.454 kilograms (kg)
6 lb = 6 × 0.454 kg = 2.724 kg
1 kg = 1000 grams (g)
2.724 kg = 2.724 × 1000 grams (g) = 2724 g
Therefore, with 6 lb = 2724 g and 1 pt = 0.473184 L, the density, d, of the material in grams per liter that has a density of 6 pounds per pint is given as follows;
d = 2724 g/(0.473184 L)= 5756.75 g/L
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) = 5756.75 g/L = 5756.75 g/L.
I’m desperate for help!!
When we reflect every point over the x axis...
S(2, -4) becomes S ' (2, 4)T(9, -4) becomes T ' (9, 4)U(9, -1) becomes U ' (9, 1)V(2, -1) becomes V ' (2, 1)The rule you use is [tex](x,y) \to (x,-y)[/tex]
The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)
A cylindrical waste can has a volume of 5, 667.7cubic inches and its base has a radius of 9.5 inches. Find the height of the waste can. Round to the nearest tenth .
Answer:
height of the waste is 20.0 inches.
Step-by-step explanation:
given data
volume = 5, 667.7cubic inches
radius = 9.5 inches
solution
we use here volume of a cylinder is express as
V = πr²h .................1
put here value
5667.7 = (3.14) × (9.5²) × h
solve it we get
h = 20 inch
so height of the waste is 20.0 inches.
Find the coordinates?HELP^
Answer:
21/2,-14Step-by-step explanation:
midpoint formula [tex] = [/tex]x1+x2÷2,y1+y2÷22/5 in fraction form
Answer:
2/5 is already a fraction.... it's an improper fraction.
The smell of the flowers ____ sweet. 1. was 2. are
Answer:
1. was (but I think it should be is)
Step-by-step explanation:
the smell of flowers was/is sweet
-----------------------
The sentence is referring to the smell, and smell is singular, so we should is or was
Hope this helps!! :)
Solve for x (image below)
Answer:
-12
Step-by-step explanation:
2x+29+8=×+25
Solve for x
(3)zach wishes to accumulate $50,000 in a fund at the end of 20 years. if he deposits $100 + x in the fund at the end of every 3 months for the first 10 years and $100 in the fund at the end of every 3 months for the second 10 years, find x to the nearest dollar if i(4) = .04. (ans $519.79)
Answer:
$519.79
Step-by-step explanation:
The formula is:
[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]
[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex] [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]
[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]
(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000
(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000
(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000
(100+x) (48.886373) (1.488864) + 4888.64 = 50000
(100+x) (72.785161) + 4888.64 = 50000
7278.5161 + 72.785161 x + 4888.64 = 50000
12167.1561 + 72.785161 x = 50000
72.785161 x = 50000 - 12167.1561
72.785161 x = 37832.8439
x = 37832.8439 / 72.785161
x = 519.787871
x = $519.79
if F is the midpoint of DE, DF =3x+5 and FE = 5x-19, Find DF
Answer:
DF=41
Step-by-step explanation:
It is given that F is the midpoint of DE. We know that, midpoint bisects the line segment. So,
DF=FE
3x+5=5x-19
Subtracting both sides by 3x
3x+5-3x=5x-19-3x
5=2x-19
Subtract both sides by 5
5-5=2x-19-5
0=2x-24
2x=24
x=12
So, the value of x is 12.
Put x = 12 in DF=3x+5
DF=3(12)+5
DF= 36+5
DF = 41
So, the value of DF is 41.
what is 6 to the second power equal?
Answer: 6 to the second power equals 36.
Step-by-step explanation: Any number to the power of two multiples by itself.
So 6 x 6 = 36
Answer:
36
Step-by-step explanation:
6^2= 36
What is the missing reason in the proof?
HELP!! ASAP
Answer:
c mark me as brainliest
Step-by-step explanation:
Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?
Answer:C
Step-by-step explanation:
Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C
Answer:
25 1/3 C
Step-by-step explanation:
Write the fraction below in simplest form.
Answer:
A. 2a² / 5b
Step-by-step explanation:
12a³b² / 30ab³
cancel the common factor = 6
= 2a³b² / 5ab³
cancel the common factor = a
= 2a²b² / 5b³
apply exponent rule, so
= 2a² / 5b³ ⁻ ²
subtract 3 - 2 = 1
= 2a² / 5b
Is the expression X^3 equivalent to X^3•3•3
Answer:
I think if you take the x out it would be equivalent
Step-by-step explanation:
3•3•3
1.
If'C is the midpoint of the line segment joining points A(4,1) and
B(2,3), then y-coordinate of point ' C is 4
TRUE
FALSE
Answer:
false
Step-by-step explanation:
Answer:false
Step-by-step explanation:
Warm-Up 2: Three different animals were given a certain amount of money. A
bird was given $9.00, an octopus was given $36.00, and a bee was given $27.00.
Based on that information, how money would a dog be given? Explain and show
your thinking
Is this the full question?
10. What are the x and y intercepts of the equation --30 + 5y = 15
Answer:
i think you had written the formula wrongly
so if it was -30x not -30
Step-by-step explanation:
x intercept when y=0
-30x = 15
x= -0.5
y intercept when x=0
5y= 15
y=3
- if this is the one you want
-30 +5y=15
5y =45
y=9
and there not x intercept { }
A recipe for sparkling grape juice calls for quarts of sparkling water and quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answer:
For this case we can make the following rule of three:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice