Answer:
29 i
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
What is the slope of the line that contains these points?
2
13
14
15
16
y
11
6 1 -4
slope:
Answer:
-5
Step-by-step explanation:
formula of slope is
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
y2 is the second y value
y1 is the first y value so you get
[tex] \frac{6 - 11}{14 - 13} [/tex]
that leaves you with -5 /1 which can be written as -5
-5
Step-by-step explanation:The slope is rise over run. In other words, it is the change in y divided by the change in x.
Slope Formula
The formula for slope is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]. This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.
Final Slope
The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.
your answer should be a polynomial in standard form. -t(-4t^3+8t^2)=
is there any answer choices
X
у
2
9
5
10
7
09
5
12.
3
16
2
O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT
Which value of x makes the following equation true? 2(x + 7) = x + 19 OA. 5 OB. 12 O C. 19 OD -2
2(x + 7) = x + 19
Use distributive property on left side;
2x + 14 = x + 19
Subtract 14 from both sides:
2x = x + 5
Subtract 1 x from both sides:
X = 5
Which statements are true about triangle PRS? Select THREE options.
An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
C. Equally likely
Step-by-step explanation:
1/2=0.5=50% probability
what is the area and radius of a 10 inch circle?
Answer:
A circle of radius = 10 or diameter = 20 or circumference = 62.83 inches has an area of: 2.02709 × 10 -7 square kilometers (km²) 0.202709 square meters (m²) 2027.09 square centimeters (cm²)
Step-by-step explanation:
In the jeweler's workshop, the ruby would be clasped tightly into a settin
flanked by diamonds.
Based on word parts, what is the meaning of flanked in the sentence?
the side of the body on a person or animal
to be situated on each side of a possession
to guard or strengthen an item from the side
SHORT EXPLANATION
the right or left side of a large body of people
Answer:
To be situated on the sides of the Ruby (Surrounding the Ruby)
Step-by-step explanation:
Can someone please help me
Answer:
A. 9.0 seconds
Step-by-step explanation:
Find the approximate length of C (WILL CHOOSE BRAINLIEST)
Answer:
c approx= 3.46
Step-by-step explanation:
30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)
The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. In your question we know the long leg is 3.
3÷ sqroot3 = sqroot3
The short leg is sqroot3. The hypotenuse is double that, 2sqroot3.
c = 2sqroot3 is the exact value.
c ~= 3.46
The graph represents a cubic function. Write the function.
Zeros are
(0,0)(-3,0)(-4,0)Write in factor form and solve
(x-0)(x-(-3))(x-(-4))=0x(x+3)(x+4)=0x[x(x+4)+3(x+4)]=0x(x²+4x+3x+12)=0x(x²+7x+12)=0x³+7x²+12x=0Points given (-2,16)
Solve for n
n(x³+7x²+12x)=yOn solving we get
n=-4So the function is
y=-4(x³+7x²+12x)y=-4x³-28x²-48xAnswer:
-4x³ - 28x²- 48x
Explanation:
x-intercept: (-4, 0), (-3, 0), (0, 0)→ so equation: a(x+4)(x+3)(x+0)
point given: (-2, 16)→ substitute these points to find a
a(-2+4)(-2+3)(-2) = 16a = -4so the graphed cubic equation:
-4(x+4)(x+3)(x+0)-4x³ -28x²-48xIf y = -5 when x = 2, find y when x = 8.
Answer:
Y= -20
Step-by-step explanation:
if y=-5 when x=2 find y when x=8
8 /2 = 4
=> x = 2 * 4 => x = 8 Answer
y = -5 * 4 =>
y= -20
Using the Rule of 72, how long would it take for Anthony to double his investment of $5,000 in a
money market account that earns 7% per year?
Answer: About 10.2857 years
=============================================================
Explanation:
For the rule of 72, we divide the number 72 over the interest rate without the percent sign. We do not convert to decimal form. Simply erase the percent sign.
For example, if the interest rate was 6%, then we estimate it would take 72/6 = 12 years for the amount to double.
In this case of a 7% interest rate, the doubling time is roughly 72/7 = 10.2857 years.
-------------
Extra Notes:
The starting deposit doesn't matter, so we can ignore the "5000". The interest rate must stay the same the entire time.Solve for x (literal equations)
C=b-bx
Answer:
X= (-c+b)÷b
or
X= -b×(c-b)
Step-by-step explanation:
C=b-bx
b-bx=c
-bx= c-b
-x=(c-b)÷b
x= -(c-b)÷b
or
-x= b×(c-b)
x= -b×(c-b)
why is it that when i caulate 1225*3.14 it equals 3846 but if i have the pie symbol instead of the 3.14 it turns out to be different 1225*π=3848
Answer:
[tex]\pi[/tex] is infinite. 3.14 only has three numbers.
Step-by-step explanation:
so [tex]\pi[/tex] multiplied by any number (except 0) will have infinite numbers
Answer:
See below ↓
Step-by-step explanation:
When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.
1225 x 3.14 = 3846.51225 x π = 3848.451If f(x) = x3 + 12x2 +41x + 30 and f(-6) = 0, then find all of the zeros of
f(x) algebraically.
Answer:
-6, -5, -1
Step-by-step explanation:
Based on the question, (x+6) is a factor of f(x).
With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.
You'll get x²+6x+5 as a result.
Factorise it and you'll get
x²+6x+5 = (x+1)(x+5)
Then let (x+1)(x+5) = 0, x = -1, -5
Zero's of f(x) are -6, -5 -1
[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]
7. Are the given functions inverses? Why or why
not?
y = (x - 2)2 + 4
f-1(x) = +Vx – 4 + 2
Answer:
x=1 it is not inverse
5. Mount Logan in the Yukon is 3. 702 miles high. Mount McKinley in Alaska is 3. 848 miles high and Pico de Orizaba in Mexico is 3. 571 miles high. Order these mountains by height from greatest to least. *
1 point
Logan, McKinley, Pico de Orizaba
McKinley, Logan, Pico de Orizaba
Pico de Orizaba, Logan, McKinley
Logan, Pico de Orizaba, McKinley
Answer:
McKinley, Logan, Pico de Orizaba
Step-by-step explanation:
The points scored by a basketball team in its last 6 games
are shown. Use these data for 7 and 8.
Which measure better describes the typical number of points scored?
Explain.
(Points scored= 73,77,85,84,37,115)
Answer:
73+78+85+84+37+115 because you will add all point scored by the last 6games =471
Find the value of x
Answer:
40, or if you need it unrounded 40.3
Step-by-step explanation:
if the premium for same day shipping is 200%. what is the cost to ship 2200 lbs of goods from Dallas to Nashville using same day shipping? if the answer is d.$15,840 what is the appropriate formula to solve?
from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.
if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.
Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]
A triangular banner is to be made according to the specifications in the figure shown, with dimensions given in inches.
image
Wooden sticks will be used to outline the perimeter of the banner in order to attach the interior material.
How many inches of wooden sticks will be required?
The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
Perimeter of a triangleThe perimeter of a triangle is the sum of the whole three sides.
Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.
The remaining sides of the triangle can be found using Pythagoras theorem.
c² = a² + b²
where
a and b are the legsc = hypotenuseTherefore,
a² = 13² - 5²
a² = 169 - 25
a = √144
a = 12 inches
Therefore,
b² = 15² - 12²
b² = 225 - 144
b = √81
b = 9 inches
Therefore,
perimeter = 13 + 15 + 5 + 9 = 42 inches
Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
learn more on perimeter here: https://brainly.com/question/16096915
A metal with a specific heat of 0.900 J/g °C requires 1,040 J of heat to
raise the temperature (the change in temperature) by 5 °C. What is
the mass of the metal
PLEASE HELP GIVING OUT BRAINLEST
Answer:
231.1 gm
Step-by-step explanation:
1040 J / .9 j/(gm-C) / 5C = 231.1 gm
The mass of the metal is 231.111 gram.
What is specific heat?The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.
The formula for heat is given by the formula,
Q = mC(ΔT)
Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,
Q = mC(ΔT)
1,040 = m × 0.900 × 5
m = 1040/(0.900×5)
m = 231.111 g
Hence, the mass of the metal is 231.111 gram.
Learn more about Specific Heat:
https://brainly.com/question/11297584
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Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000
Answer: A, D, F
Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000
G: 10
please find the area
18 inch²
Step-by-step explanation:
The same formula of triangle
1/2(12×6)
18 inch²
Distribute to create an equivalent expression with the fewest symbols possible.
6(5x -3) =6 helpppp
Answer:
x=4/5
Step-by-step explanation:
Add 18 to both sides and simplify
Given g(x)=xpower of 2-6x-16,which statement is true?
For the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
What is a quadratic function?A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic function is,
[tex]f(x)=ax^2+bx+c[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
The quadratic function given in the problem is,
[tex]g(x)=x^2-6x+16[/tex]
Factorized it with split the middle term method,
[tex]g(x)=x^2-6x-16\\g(x)=x^2-8x+2x-16\\g(x)=x(x-8)+2(x-8)\\g(x)=(x-8)(x+2)[/tex]
Equate the factors of the function, to find the zeros,
[tex]x-8=0;x=8\\x+2=0;x=-2[/tex]
Hence, for the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
Learn more about the quadratic equation here;
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Fatima will go to the swimming pool 15 days this month. A one day pass is $2.25. A monthly pass is $25. How much money will Fatima save by buying a monthly pass?
A. $33.75
B. $8.75
C. $7.75
D. $6.00
Answer:
B. 8.75
Step-by-step explanation:
The population of a city is given by P(t) = Poe
-0.04t where t is time measured in years and
P0 is the population at time t=0. Assume that Po = 1,000,000.
a. Find the population when t=3.
b. During what year will the population drop below 750,000. (solve an equation, no
guess-and-check)
Answer:
a. 885,920
b. year 8
Step-by-step explanation:
The population at a given time is described by the exponential formula ...
P(t) = P0·e^(-0.04t)
where P0 is given as 1,000,000.
a.We are asked for the value of P(3). This ccan be found by substituting 3 for t in the equation and evaluating the numerical expression.
P(3) = 1,000,000·e^(-0.04·3) = 1,000,000·e^(-0.12)
P(3) ≈ 886,920
The population when t=3 is about 886,920.
__
b.We can put the given numbers in the equation and solve for t.
750,000 = 1,000,000·e^(-0.04t)
0.75 = e^(-0.04t) . . . . . divide by 1,000,000
ln(0.75) = -0.04t . . . . . take the natural log
-ln(0.75)/0.04 = t ≈ 7.192
The population will drop below 750,000 in year 8.
_____
Additional comment
These values can be confirmed by a graphing calculator.
Note that "year 1" is the year between t=0 and t=1. So, "year 8" is the year between t=7 and t=8.
Please any one help me
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Since it's a Trapezoid with its non - parallel sides equal to one another,
[tex]\qquad \sf \dashrightarrow \:\angle A + \angle P = 180[/tex]
[ By forming co - interior angle pair ]
[tex]\qquad \sf \dashrightarrow \:\angle A +100 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:\angle A = 180 - 100[/tex]
[tex]\qquad \sf \dashrightarrow \:\angle A = 80 [/tex]
Now, similarly,
[tex]\qquad \sf \dashrightarrow \:\angle A + \angle R = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle R + 80 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle R = 100[/tex]
Similarly,
[tex]\qquad \sf \dashrightarrow \angle K + \angle R = 180[/tex]
[tex]\qquad \sf \dashrightarrow \angle K + 100 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \angle K = 80[/tex]
Consecutive angles are supplementary
<A+100=180<A=80°Opposite angles are equal
<R=<P=100°Opposite angles are equal again
<K=<A=80