Answer:
Step-by-step explanation:
Here we are multiplying together two complex numbers which happen to be identical: both are 5 - 7i).
This is also "the square of 5 - 7i: (5 - 7I)^2
In both cases, the result is 25 - 35i - 35i - 49, or 74 - 70i
Please Answer Correctly - Will Give Branliest & Extra Points. (links or unidentified/wrong answers will be reported and auto banned)
Answer:
Step-by-step explanation:
11 no
46+4x=90 degree(being perpendicular)
4x=90-46
x=44/4
x=11
12 no
They are complementary angles
6 no
angle B+27=180 degree(being straight line)
angle B=180-27
angle B=153
10 no
angle 38 +angle DFE=180 degree(being supplementary)
angle DFE=180-38
angle DFE=142 degree
5 no
They are vertically opposite angles.
7 no
angle AGF and angle CGD (because they have common arm and vertex)
Answer:
Solution given:
11.4x+46=90[being right angle]
4x=90-46
x=44/4
x=11
12.
Complementary angles
5.
vertical
6.
<ABD+27=180°[linear pair]
<ABD=180-27
<ABD=153° degree
10.
<DFE+38=180[being supplementary]
<DFE=180-38
<DFE=142 degrees.
7.
angle DGE and angle DGC
8.
<AGB and <AGE
Tickets for the school play cost $5 for students and $8 for adults. For one performance, 128 tickets were sold for $751. How many tickets were for adults and how many were for students?
round 8,437 to the nearest whole number
Answer:
the answer is 8,000.
Step-by-step explanation:
A baby whale gains about 250 pounds a day. It was 250 pounds at birth. Find an equation to find the number of days it will take for a baby to weigh its first ton.
Answer:
8 days
Step-by-step explanation:
1 ton=2,000 pounds and If you divide 2,000÷250=8 days. It will talk 8 days for the baby whale to weigh his first ton.
Convert 10π/6 radians into degrees.
We know that ,
[tex]\pi rad = 180^o[/tex]
SOLUTION :Using Unitary Method ,
[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]
Therefore ,
[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]
[tex]= \boxed{\red{ 300^o }}[/tex]
Required answer !
Write the equation of the line that passes through (-7,-4) and (-6,-2) in slope intercept form
Answer:
y = mx + b
m =(-2--4)/(-6--7)
m = 2
-2 = 2(-6) +b
b = 10
y= 2x + 10
Which statements are always true
about ABCD? Select all that apply.
Answer:
It doesn't show the statements so I'll create some.
Step-by-step explanation:
ABCD make a shape with 2 pairs of parallel lines.
ABCD when broken apart can create 4 triangles
The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).
How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o
Answer:
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
Step-by-step explanation:
Given
[tex]f(x) =\frac{1}{4}3^x -6[/tex]
[tex]g(x) \to[/tex] translate f(x) 9 units up
Required
Find g(x)
The translation rule is:
[tex]g(x) \to f(x) + 9[/tex]
So, we have:
[tex]g(x) = f(x) + 10[/tex]
[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
-7= y/7? Solve the Equation.
y = -49
multiply 7 on both sides
-7*7 = y/7*7
-49 = y
Answer:
y = -49
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-7 = y/7
Step 2: Solve for y
[Multiplication Property of Equality] Multiply 7 on both sides: -49 = yRewrite: y = -49A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds. Costco is interested in finding out whether the mean transaction time is less than 310 seconds. Answer the following questions. a) Write down the null and alternative hypotheses. b) Find the test statistic and the critical value at 1% significance level. c) At 1% level of significance, what is your conclusion
Answer:
a) The null hypothesis is [tex]H_0: \mu = 310[/tex] and the alternative hypothesis is [tex]H_1: \mu < 310[/tex].
b) The test statistic is [tex]t = -1.54[/tex]. The critical value is [tex]t_c = -2.473[/tex].
c) The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.
Step-by-step explanation:
Question a:
Costco is interested in finding out whether the mean transaction time is less than 310 seconds.
At the null hypothesis, we test if the mean is of 310 seconds, that is:
[tex]H_0: \mu = 310[/tex]
At the alternative hypothesis, we test if the mean is of less than 310 seconds, that is:
[tex]H_1: \mu < 310[/tex]
b) Find the test statistic and the critical value at 1% significance level.
Test if the mean is less than a value, sample of 28, and standard deviation for the sample. Thus, we have a left-tailed t-test with 28 - 1 = 27 degrees of freedom and a 0.01 significance level, and the critical value is [tex]t_c = -2.473[/tex].
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation pf the sample and n is the size of the sample.
310 is tested at the null hypothesis:
This means that [tex]\mu = 310[/tex].
A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds.
This means that [tex]n = 28, X = 296, s = 48[/tex].
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{296 - 310}{\frac{48}{\sqrt{28}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is [tex]t = -1.54[/tex].
c) At 1% level of significance, what is your conclusion
The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.
A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?
Answer:
may be 10%hope it helps uh
PLS ANWER ASAP!! person with correct answer will be marked brainliest
Answer:
62 degrees since there are supplementary angles
Step-by-step explanation:
∠PQO= 180 degrees - 118 degrees
∠PQO= 62 degrees is the answer.
∠PQO= 180°-∠RQO -------(Supplementary Angles)
∠PQO= 180° - 118°
∠PQO= 62° answer.
There are 6 shipping boxes that each ocontain 36 lbs of merchandise from a toy store.
Before the boxes are loaded onto a delivery truck, the same amount of additional
merchandise is added to each box. The total weight of all of the boxes is 258 pounds.
How much additional weight was added to each box?
Answer:
7kg
Step-by-step explanation:
258 / 36 = 7.16
the nearest ten, 7.20
Mark me brianest
Find a,b,c and d?..........
9514 1404 393
Answer:
a = 6, b = 12, c = 6, d = 6√3
Step-by-step explanation:
The two triangles are the "special" triangles.
The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.
The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.
Then ...
c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6
and ...
a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)
The lengths are ...
a = 6, b = 12, c = 6, d = 6√3
Factor the expression below.
x² - 64
O A. (x - 16)(x-4)
B. (x+16)(x-4)
O C. (x-8)(x-8)
O D. (x+8)(x-
Answer:
(x-4)(x+4)
Step-by-step explanation:
x^2 - 64 = x^2 - 4^2 = (x-4)(x+4)
MULTIPLE CHOICE QUESTION
What is the mean
11.65
11.85
11.45
11.25
What is the area of the base of the cone below? 12ft v=90ft^3
Answer: C 22.5 ft2!
Step-by-step explanation:
i took the test, have a great day:) <3
Answer:
right
Step-by-step explanation:
Solve 7/w+4 =5/w+4-6/w
Answer:
w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Lynn is tracking the progress of her plant's growth. Currently the plant is 11 The plant grows 1.2 cm per day. Find an equation that represents the plant's height after any given number How tall is the plant after 9 days?
Answer:
the equation is 11+1.2d= h so the height after 9 days would be 21.8cm
Step-by-step explanation:
Answer:
f(h) = 11 + 1.2h
f(9) = 21.8 cm
Step-by-step explanation:
let 'h' = height
f(h) = 11 + 1.2h
height after 9 days:
f(9) = 11 + 1.2(9)
= 11 + 10.8
= 21.8 cm
Answer fast will give brainiest
Answer:
Step-by-step explanation:
1). If two right triangles are congruent by HL property of congruence,
Their corresponding sides will be congruent.
By this property,
x - 4 = y + 3
x - y = 7 -----(1)
x = 2y ------(2)
By substituting x = 2y in equation (1),
2y - y = 7
y = 7
From equation (1)
x - 7 = 7
x = 15
2). If both the right triangles are congruent by HL property of congruence,
Their height and and hypotenuse will be congruent.
y + x = x + 7
y = 7
y + 5 = 2y - x
y - 2y + 5 = -x
-y + 5 = -x
x = y - 5
By substituting y = 7 in the equation,
x = 7 - 5
x = 2
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
X + 5y = -20
Answer:
[tex]y = \frac{-1}{5}x -4[/tex]
Step-by-step explanation:
[tex]x + 5y = -20\\\\5y = -x - 20\\\\y = \frac{-1}{5}x - 4[/tex]
Select the correct answer. Which of the following is equal to the expression below? (8 - 320) 3 OA. 40 O B. 30 OC. 10 5 OD. 835
Answer:
Quesiton is not clear. here is the asnswer basing on our understand
Step-by-step explanation:
(8-32)3 = (-24*3) = =72
The measure of an angle is 89. Find the measure of its supplementent
a. 91
b. 89
c.90
d. 80
Answer:
A) 91
Step-by-step explanation:
Supplementary angels are 2 angels whos sum is 180
To find the supplement of angle 89, substract 89 from 180
180-89 = x
91 = x
Help I need this answer ASAP
Answer: c
Step-by-step explanation: because yes
Answer:
d po answer
yan po sinagot ko
hehe
B Reading Choose the best estimate for the multiplication problem below. 85 x 86
A. 8100
B. 10,400
C. 12,200
Answer:
A. 8100
Step-by-step explanation:
85 x 86
To estimate, we multiply 85*100, which is the easiest multiplication, as a multiplication by 100 is the same as placing two zeros at the end of the number.
85*100 = 8500
Since 86 < 100, 85*86 < 8500. Thus, the correct estimate is given by option A.
show that the subset is the partial ordering on the power set of S.
refer to the attachment
what is 10000000000+10000000000
Answer:
20000000000000000000000000000
The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 inches. (The long side which it sits on in the image below is the height.) Find the volume of the speaker.
Answer:
92 dB
Step-by-step explanation:
Fsf
Answer:
[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Answer:
2 is the probability
Step-by-step explanation:
If the integral of the product of x squared and e raised to the negative 4 times x power, dx equals the product of negative 1 over 64 times e raised to the negative 4 times x power and the quantity A times x squared plus B times x plus E, plus C , then the value of A B E is
Answer:
[tex]A + B + E = 32[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
Required
Find [tex]A +B + E[/tex]
We have:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
Using integration by parts
[tex]\int {u} \, dv = uv - \int vdu[/tex]
Where
[tex]u = x^2[/tex] and [tex]dv = e^{-4x}dx[/tex]
Solve for du (differentiate u)
[tex]du = 2x\ dx[/tex]
Solve for v (integrate dv)
[tex]v = -\frac{1}{4}e^{-4x}[/tex]
So, we have:
[tex]\int {u} \, dv = uv - \int vdu[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = x^2 *-\frac{1}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x} 2xdx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} - \int -\frac{1}{2}e^{-4x} xdx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx[/tex]
-----------------------------------------------------------------------
Solving
[tex]\int xe^{-4x} dx[/tex]
Integration by parts
[tex]u = x[/tex] ---- [tex]du = dx[/tex]
[tex]dv = e^{-4x}dx[/tex] ---------- [tex]v = -\frac{1}{4}e^{-4x}[/tex]
So:
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x}\ dx[/tex]
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} + \int e^{-4x}\ dx[/tex]
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} -\frac{1}{4}e^{-4x}[/tex]
So, we have:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} [ -\frac{x}{4}e^{-4x} -\frac{1}{4}e^{-4x}][/tex]
Open bracket
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} -\frac{x}{8}e^{-4x} -\frac{1}{8}e^{-4x}[/tex]
Factor out [tex]e^{-4x}[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{x^2}{4} -\frac{x}{8} -\frac{1}{8}]e^{-4x}[/tex]
Rewrite as:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{1}{4}x^2 -\frac{1}{8}x -\frac{1}{8}]e^{-4x}[/tex]
Recall that:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{1}{64}Ax^2 -\frac{1}{64} Bx -\frac{1}{64} E]Ce^{-4x}[/tex]
By comparison:
[tex]-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2[/tex]
[tex]-\frac{1}{8}x = -\frac{1}{64}Bx[/tex]
[tex]-\frac{1}{8} = -\frac{1}{64}E[/tex]
Solve A, B and C
[tex]-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2[/tex]
Divide by [tex]-x^2[/tex]
[tex]\frac{1}{4} = \frac{1}{64}A[/tex]
Multiply by 64
[tex]64 * \frac{1}{4} = A[/tex]
[tex]A =16[/tex]
[tex]-\frac{1}{8}x = -\frac{1}{64}Bx[/tex]
Divide by [tex]-x[/tex]
[tex]\frac{1}{8} = \frac{1}{64}B[/tex]
Multiply by 64
[tex]64 * \frac{1}{8} = \frac{1}{64}B*64[/tex]
[tex]B = 8[/tex]
[tex]-\frac{1}{8} = -\frac{1}{64}E[/tex]
Multiply by -64
[tex]-64 * -\frac{1}{8} = -\frac{1}{64}E * -64[/tex]
[tex]E = 8[/tex]
So:
[tex]A + B + E = 16 +8+8[/tex]
[tex]A + B + E = 32[/tex]