Answer:-(3-4i) and -(6+7i)
Step-by-step explanation: To find the complex conjugate, negate the term with i.
Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?
Answer:
Step-by-step explanation:
Distance from home plate to second base = 90√2 feet
Distance from third base to first base = 90√2 feet
60 ft 6 in = 60.5 ft
90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft
The pitcher's mound is not at the midpoint.
Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?
15
Step-by-step explanation:
Answer:
I think 30 im so sure
Step-by-step explanation:
uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye
guys help. show work please
9514 1404 393
Answer:
2^17×3^7
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
__
[tex](2^9\times3^5)\times(2^4\times3)^2=2^9\times3^5\times2^{4\cdot2}\times3^2\\\\=2^{9+8}\times3^{5+2}=\boxed{2^{17}\times3^7}[/tex]
A company has a linear total cost function and has determined that over the next three
months it can produce 13,000 units at a total cost of $226,000. This same manufacturer
can produce 16,000 units at a total cost of $296,000. The sales price per unit is $31.25.
i. Find the revenue, cost, and profit functions using q for number of units.
ii. Find the marginal cost, average cost and fixed cost.
iii. Find break-even quantity.
work out the perimeter of the semi-circle take pi to be 3.142
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
Answer:
She can make [tex]18[/tex] unique outfits.
Step-by-step explanation:
Jamie has [tex]3[/tex] options to choose from for a shirt (white, blue, or pink), [tex]3[/tex] options to choose from for pants (black, white, or beige), and [tex]2[/tex] options to choose from for shoes (black or brown). Therefore, she can make [tex]3*3*2=18[/tex] unique outfits from these options. Hope this helps!
purple paint is made from using red paint and blue paint in the ratio 1:2
write an equation for y in terms of x to show the relationship between the amount of red paint (y) and the amount of blue paint (x)
Answer:
[tex]y = \frac{x}{2}[/tex]
Step-by-step explanation:
Given
[tex]y : x = 1 : 2[/tex]
Required
Represent as an equation
[tex]y : x = 1 : 2[/tex]
Represent as a fraction
[tex]\frac{y }{ x} = \frac{1}{ 2}[/tex]
Cross multiply
[tex]y * 2 = x*1[/tex]
Divide both sides by 2
[tex]y = \frac{x*1}{2}[/tex]
[tex]y = \frac{x}{2}[/tex]
Donna guessed there were 400 jellybeans in a jar. There were really 480 jellybeans. What is her prevent of error
Answer:
Step-by-step explanation:
Donna guessed 400 but there were 480 so she was off by 80
A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.
Answer:
The answer is "0.586"
Step-by-step explanation:
Please find the solution to the given question:
[tex]z= \frac{0.65-0.61}{\sqrt{\frac{0.65 \times 0.35}{100}+\frac{0.61 \times 0.39}{100}}}[/tex]
[tex]= \frac{0.04}{\sqrt{\frac{0.2275}{100}+\frac{0.2379}{100}}}\\\\= \frac{0.04}{\sqrt{0.002275+0.002379}}\\\\= \frac{0.04}{\sqrt{0.004654}}\\\\= \frac{0.04}{0.0682202316}\\\\=0.586336327\\\\[/tex]
Write the number 16408 in words.
Answer:
Step-by-step explanation:
Sixteen thousand, four hundred and eight
Hope this helps!
Describe a congruence transformation that mapsABCD to APQR.
Amber has determined that the experimental probability of making a free throw in basketball is 12/15. What it the probability of missing a basket?
Answer:
3/15, 1/5, or 0.2 probability. Highly unlikely
Explanation:
12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.
~Hope this helps~
Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a
Answer:
the statement would be false.
Step-by-step explanation:
Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.
Given f(x)=x^3-2, find the equation of the secant line passing through (-4,f(-4)) and (2,f(2))
Given:
The function is
[tex]f(x)=x^3-2[/tex]
The secant line passing through (-4,f(-4)) and (2,f(2)).
To find:
The equation of the secant line.
Solution:
We have,
[tex]f(x)=x^3-2[/tex]
At x=-4,
[tex]f(-4)=(-4)^3-2[/tex]
[tex]f(-4)=-64-2[/tex]
[tex]f(-4)=-66[/tex]
At x=2,
[tex]f(2)=(2)^3-2[/tex]
[tex]f(2)=8-2[/tex]
[tex]f(2)=6[/tex]
The secant line passes through the points (-4,-66) and (2,6). So, the equation of the secant line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-66)=\dfrac{6-(-66)}{2-(-4)}(x-(-4))[/tex]
[tex]y+66=\dfrac{6+66}{2+4}(x+4)[/tex]
[tex]y+66=\dfrac{72}{6}(x+4)[/tex]
On further simplification, we get
[tex]y+66=12(x+4)[/tex]
[tex]y+66=12x+48[/tex]
[tex]y=12x+48-66[/tex]
[tex]y=12x-18[/tex]
Therefor, the equation of the secant line is [tex]y=12x-18[/tex].
In the slope 5/9, the 5 indicates to
A. Rise 5 units
B. Run 5 units
C. Fall 5 units
PLZ HELP ME YOU GUYS ARE MY ONLY HOPE!!! I WILL GIVE BRAINLIEST PLZ ANSWER<3
2a+3c=5a+2c=1
There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?
Answer:
a = 9, c = -4?
Step-by-step explanation:
i think these are the two equations, let me know if i'm wrong
2a + 3c = 5; a + 2c = 1
rearrange second equation : a = -2c +1
plug in:
2(-2c +1) +3c = 5
-4c +1 +3c = 5
-c +1 = 5
-c = 4
c = -4
a + 2(-4) = 1
a - 8 = 1
a = 9
write the equation for the function of the graph below
Answer: (1) [tex]y= \sqrt{x+2}-2[/tex] (2) y = (x - 3)³
D: x ≥ -2 [-2, ∞) D: -∞ < x < ∞ (-∞, ∞)
R: y ≥ -2 [-2, ∞) R: -∞ < y < ∞ (-∞, ∞)
Inc: x > 2 (2, ∞) Inc: (-∞, 3) ∪ (3, ∞)
Dec: never Dec: never
Step-by-step explanation:
NOTES:
Domain is the x-values.
Range is the y-values.
From left to right: increasing when going up and decreasing when going down. The anchor and turning point are not considered to be increasing or decreasing.
J.B. earns $16.60 an hour with time-and-a-half for hours worked over 8 a day. His
hours for a week are 8.25, 8.25, 9.5, 11.5, and 7.25. Determine his gross earnings
for that week.
Answer:
The gross pay for the week is $701.32
Step-by-step explanation:
J.B. earns $16.60 per hour, and half of it ($16.60/2) for each hour worked over the 8th-hour range.
On the first day, he works 8.25 hours.
We have 8 hours, plus 0.25 hours past the limit, then for the first day he wins:
8*$16.60 + 0.25*($16.60/2) = $134.86
On the second day, he works again 8.25 hours, so he wins the same amount $134.86
On the third day, he works 9.5 hours, then:
We have 8 hours plus 1.5 hours past the limit, then for this day he wins:
8*$16.60 + 1.5*$16.60/2 = $145.25
On the fourth day, he works 11.5 hours, then:
We have 8 hours plus 3.5 hours pást the limit, then for this day he wins:
8*$16.60 + 3.5*$16.60/2 = $161.85
For the last day, he works 7.25 hours, (in this case, we do not have hours worked over the 8-hour limit) then this day he wins:
7.25*$16.60 = $124.50
The gross pay for this week will be equal to:
G = $134.86 + $134.86 + $145.25 + $161.85 + $124.50 = $701.32
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Find a cubic polynomial that goes through points (4, – 22) and (3, - 26) and has tangents with slopes
respectively 11 and — 2 there. Check your work with a graphing utility.
f() =
Let f(x) = ax ³ + bx ² + cx + d.
The graph of f(x) passes through (4, -22) and (3, -26), which means f (4) = -22 and f (3) = -26, so that
64a + 16b + 4c + d = -22
27a + 9b + 3c + d = -26
When the question says it has tangents at some point, I take that to mean the slope of the tangent line at that point is the given number. So f ' (4) = 11 and f ' (3) = -2. We have
f '(x) = 3ax ²+ 2bx + c
so that
48a + 8b + c = 11
27a + 6b + c = -2
Solve the system:
• Eliminate d :
(64a + 16b + 4c + d) - (27a + 9b + 3c + d) = -22 - (-26)
→ 37a + 7b + c = 4
• Eliminate c :
(48a + 8b + c) - (27a + 6b + c) = 11 - (-2)
→ 21a + 2b = 13
(48a + 8b + c) - (37a + 7b + c) = 11 - 4
→ 11a + b = 7
• Eliminate b, then solve for a and the other variables:
(21a + 2b) - 2 (11a + b) = 13 - 2 (7)
-a = -1
a = 1 → b = -4 → c = -5 → d = -2
Then
f(x) = x ³ - 4x ² - 5x - 2
Expand the expression -3 (4s+-7). Then select the correct answer.
A. 12s - 21.
B 12s + 21.
C -12s + 21.
D -12s - 21
Answer:
I think A is the correct answer because -3+4 is 1 because 4 has greater sign + and +- gives result - thus,-3-7 gives - 21. I hope that it would be meaning ful for you ...
I don’t know what to do please help
Answer:
f(2)=0
Step-by-step explanation:
You plug in 2 for any X's in the equation
f(2)=2^2-4
Find the value of x 90, 68 2x
Answer:
2x + x +90= 180 We will add 2x + x=3x We get 3x + 90 =180 Now we subtract 3x = 180–90 ... x=30, for confirmation put value of x =30in equation and verify. LHS=RHS. Thats it. 68 views.
WILL GIVE BRAINLIEST
Answer:
[tex]\frac{y}{8}[/tex]
Step-by-step explanation:
quotient means division
the / means divide
Answer:
y/8
Step-by-step explanation:
quotient means divide, so y divided by 8, or y/8
Would this be infinite solutions or no solution?
Help plz:)))I’ll mark u Brainliest
Answer:
18 foot ladder will reach at 14.4 feet up the wall.
Step-by-step explanation:
Triangles formed by the ladder against wall and the ground are similar,
ΔABC ~ ΔDEC
Therefore, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]
[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]
[tex]\frac{18}{10}=\frac{BC}{8}[/tex]
BC = [tex]\frac{18\times 8}{10}[/tex]
= 14.4
Therefore, 18 foot ladder will reach at 14.4 feet up the wall.
Answer:
Need help with this plz
Answer:
(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)
10x+70=180
10x=110
x=11
(b) ∠C = 2x-10
= 2(11)-10
= 12°
The histogram on the left shows the number of hours students in a British Literature class read last week, rounded to the nearest hour. Which of the following statements offers the best description of the median number of hours students in the class read last week?
Answer:The median number of hours is between 5 and 9
Step-by-step explanation:
The median number of hours students in the class read last week is between 5 and 9
Histogram A histogram is an approximate representation of the distribution of numerical dataHistogram is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.How to solve this problem?The steps are as follow:
Give class interval; Hours of reading0-4;20
5-9;24 32th median
10-14;10
15-19;4
20-24;2
25-29;3 ∑ = 63 i.e. odd
M = 1/2 (63+1) = 32th observation
So the median number of hours students in the class read last week is between 5 and 9
Learn more about Histogram here:
https://brainly.com/question/2962546
#SPJ2
Can someone please help me
Answer:
A) 23cm.
B) 32.0625 square cm.
Step-by-step explanation:
Perimeter: Just add all the sides together like so:
4.75x2 + 6.75x2 = 23cm.
Area: Multiply the base and height together:
4.75 x 6.75 = 32.0625 square cm.
23cm
4.75 + 4.75 = 9.50
6.75 + 6.75 = 13.50
13.50 + 9.50 = 23.00
-1/2x-(1/2x+4)+12=17x-6(3x+5/6) What value of x makes the equation true? Show your work please.
Answer:
No Solution
Step-by-step explanation:
Keep in mind that if the grouping isn't right, then my result will be wrong:
-1/2x-(1/2x+4)+12=17x-6(3x+5/6)
Let me just change the formatting for convenience, and then begin the calculations:
[tex]-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:[/tex]
[tex]-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5[/tex]
[tex]-2\cdot \frac{1}{2}x-4+12=17x-18x-5[/tex]
[tex]-x-4+12=17x-18x-5[/tex]
[tex]-x+8=17x-18x-5[/tex]
[tex]-x+8=-x-5[/tex]
[tex]-x=-x-13[/tex]
[tex]0=-13[/tex]
Result: No Solution