Answer:
-2.5
Step-by-step explanation:
Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test
To calculate the z-score, we need to use a mathematical formula
Mathematically;
z-score = (x - mean)/SD
From the question;
x = 76
mean = 86
standard deviation SD = 4
Plugging these values in the equation, we have;
z-score = (76-86)/4 = -10/4 = -2.5
HW: Solve for the
1) 5(2- b) = 0
Plz help ASAP???
Answer:
[tex]\huge \boxed{b=2}[/tex]
Step-by-step explanation:
[tex]5(2- b) = 0[/tex]
[tex]\sf Divide \ both \ sides \ by \ 5.[/tex]
[tex]2-b=0[/tex]
[tex]\sf Subtract \ 2 \ from \ both \ sides.[/tex]
[tex]-b=-2[/tex]
[tex]\sf Cancel \ negative \ signs.[/tex]
[tex]b=2[/tex]
Answer:
b = 2
Step-by-step explanation:
5(2-b) = 0
=> 5 x 2 - 5 x b = 0
=> 10 - 5b = 0
=> -5b = -10
=> -b = -10/5
=> -b = -2
=> b = 2
Let's check whether our answer is correct:
=> 5(2-2) = 0
=> 5 (0) = 0
=> 0 = 0
Leslie was able to map \overline{ST} ST start overline, S, T, end overline onto \overline{QR} QR start overline, Q, R, end overline using a rotation and dilation. Leslie concluded: "I was able to map \overline{ST} ST start overline, S, T, end overline onto \overline{QR} QR start overline, Q, R, end overline using a sequence of rigid transformations, so the figures are congruent." What error did Leslie make in her conclusion?
The fact that Leslie used a dilation is where she made the mistake. A dilation either shrinks or enlarges a figure. So it made segment ST either larger or smaller to be able to fit to segment QR.
But congruent segments are always the same length. So there's no way that a dilation can be involved. Only rigid transformations of translations (aka shifting), reflections, and rotations are allowed. A dilation is not a rigid transformation.
Answer:
A
Step-by-step explanation:
took it on khan academy
A company makes a profit of $7 per software program and $8 per video game. The company can produce at most 90 software programs and at most 80 video games per week. Total production cannot exceed 120 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.
Answer:
930 dollars
Step-by-step explanation:
Let software programs = S
Video game = V
Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.
How many items of each kind should be produced per week in order to maximize the profit?
The to get profit P
P = 7S + 8V
Since the profit on video game is higher, we will give maximum production to video game. Therefore,
P = (30 × 7) + ( 8 × 90)
P = 210 + 720
P = 930 dollars
To run a mile, Jamal must run 4 laps around the track. His goal is to run 3 miles. Jamal has run 9 laps so far.
Answer:
1 mile = 4 laps
3 miles = 12 laps
9/4 = x /1
9/4 = 2.25
he has run 2.25 miles = 9 laps
he needs to run 0.75 miles = 3 laps
What is the inverse function of y = -5/3x - 8?
Answer:
You can't graph inverse function on graphing calculator
Step-by-step explanation:
step 1 rewrite function f(x) --> y
step 2 change x and y's position
step 3 solve for y
step 4 replace Y with f-1(up to f) and (x)
help me please ┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛┗( T﹏T )┛(i will give brainly)
Answer:
a) 08:04
b) 07:00
c) 14 minutes
Step-by-step explanation:
a) According to the timetable, a bus that leaves at 07:54 from Hope Street will arrive at School Rock at 08:04.
b) Since Jo needs to be at the school at 8 am, she can't arrive at a time that is past 8. This means that the latest time to catch the bus station is 07:00.
c) You have to subtract the time at which you reach the destination by the time at which you leave your starting time. It takes the bus 14 minutes to travel from the bus station to School Road.
07:14 - 07:00 = 00:14
Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points after the finish line. On Jonas's map, there is a bridge at -91 \dfrac34−91 4 3 minus, 91, start fraction, 3, divided by, 4, end fraction meters, and his wife is watching him at 14 \dfrac1214 2 1 14, start fraction, 1, divided by, 2, end fraction meters. What does 000 meters represent? Choose 1 answer: Choose 1 answer:
Answer:
(C)The finish line
Select the equivalent expression.
Answer:
A. [tex]\huge \frac{7^{15}}{3^{30}}[/tex]
Step-by-step explanation:
[tex]\huge \bigg(\frac{3^{-6}}{7^{-3}}\bigg) ^5[/tex]
[tex] \huge =\bigg(\frac{7^{3}}{3^{6}}\bigg) ^5[/tex]
[tex] \huge =\bigg(\frac{7^{3\times 5}}{3^{6\times 5}}\bigg) [/tex]
[tex] \huge =\frac{7^{15}}{3^{30}} [/tex]
Given T (x,y) = (x+5,y+4) and the point P (2,3) what is T (P)
Answer:
(7, 7 )
Step-by-step explanation:
The translation rule
(x, y ) → (x + 5, y + 4 )
Means add 5 to the original x- coordinate and add 4 to the original y- coordinate, thus
(2, 3 ) → (2 + 5, 3 + 4 ) → (7, 7 )
26 points with brainiest and 5 stars and thanks, please help! :[
Answer:
[tex]\Huge \boxed{{9}}[/tex]
Step-by-step explanation:
Let the age of Darrell be x.
Let the age of Bryce be y.
x = y + 8
xy = 153
Substitute x = y + 8 in the second equation.
(y+8)y = 153
Solve for y.
y² + 8y = 153
Subtract 153 from both sides.
y² + 8y - 153 = 0
Factor left side.
(y-9)(y+17) = 0
Set factors equal to 0.
y - 9 = 0, y = 9
y + 17 = 0, y = -17
The value of y has to be positive, so y = 9.
Substitute y = 9 in the first equation.
x = 9 + 8
x = 17
Darrell is 17 years old.
Bryce is 9 years old.
Answer:
[tex]\huge\boxed{9\ years}[/tex]
Step-by-step explanation:
Let Darrel's Age be x and Bryce's Age be y
Condition 1:
x = 8 + y
Condition 2:
xy = 153
Put the 1st equation in the second one
(8+y)y = 153
y²+8y-153 = 0
y²+17y-9y-153 = 0
y(y+17)-9(y+17) = 0
(y-9)(y+17) = 0
Either,
y-9 = 0 OR y+17 = 0
y = 9 OR y = -17 [Contrary to be given, Age can never be negative]
So, y = 9
And
Bryce's Age = 9 years
Find the product. √5(2+√7) A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35
Answer:
[tex]\huge \boxed{2\sqrt{5} +\sqrt{35}}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (2+\sqrt{7} )[/tex]
Expand brackets.
[tex]\sqrt{5} (2)+\sqrt{5}(\sqrt{7} )[/tex]
[tex]2\sqrt{5} +\sqrt{5} \sqrt{7}[/tex]
Apply radical rule : [tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]
[tex]2\sqrt{5} +\sqrt{5 \times 7}[/tex]
[tex]2\sqrt{5} +\sqrt{35}[/tex]
Answer:
[tex] \boxed{ \boxed{ \bold{ \blue{2 \sqrt{5} + \sqrt{35} }}}}[/tex]Option A is the correct option.
Step-by-step explanation:
[tex] \sf{ \sqrt{5} \: (2 + \sqrt{7} )}[/tex]
Distribute √5 through the parentheses
⇒[tex] \sf{ \sqrt{5} \times 2 + \sqrt{5} \times \sqrt{7} }[/tex]
Calculate the product
⇒[tex] \sf{2 \sqrt{5} + \sqrt{5 \times 7} }[/tex]
⇒[tex] \sf{2 \sqrt{5} + \sqrt{35} }[/tex]
Hope I helped!
Best regards!
Prove the Identity
[tex] {tan}^{2} x - {sin}^{2} x = {tan}^{2} x{sin}^{2} x[/tex]
Answer:
check pic
step-by-step explanation
check pic
Answer:
see below
Step-by-step explanation:
tan ^2 x -sin ^2 x = tan ^2x sin ^2x
tan = sin / cos
sin ^2 x / cos ^2 x -sin ^2 x = sin ^2 x / cos ^2 x * sin^2 x
Multiply each side by cos ^2
cos ^ x (sin ^2 x / cos ^2 x -sin ^2 x) = cos ^2 x(sin ^2 x / cos ^2 x * sin ^2x)
sin ^2 x - cos ^2 x sin ^2 x = sin ^2 x * sin ^2x
Factor out sin ^2 x
sin ^2 x(1 - cos ^2 x) = sin ^2 x * sin^2 x
We know that 1 - cos ^2 x = sin ^2 x
sin ^2 x(sin ^2 x) = sin ^2 x * sin^2 x
[tex] \int \sec(x) dx[/tex]
Evaluate the integral above
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
∫sec(x)dx =
∫ [tex]\frac{sec(x).(secx + tanx)}{secx + tanx}dx[/tex]
∫ [tex] \frac{sec {}^{2} (x) + secxtanx}{secx + tanx}dx [/tex]
u = secx + tanx
[tex] du = secx tanx + sec {}^{2}x \: dx[/tex]
[tex] ∫\frac{1}{u}du [/tex]
∫sec(x)dx= ln |u|
[tex]\boxed{\color{gold}{∫sec(x)dx= ln |secx +tanx| + C}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]
Answer:
[tex] = \ln( | \sec(x) + \tan(x) | ) + C[/tex]
Step-by-step explanation:
[tex] \int \sec(x) dx[/tex]
multiply and divide by sec x + tan x
[tex] = \int \frac{ \sec(x) ( \sec(x) + \tan(x) ) }{ \sec(x) + \tan(x) } dx[/tex]
let u = sec x + tan x
du = (sec x)(sec x + tan x) dx
[tex] = \int \frac{1}{u} du[/tex]
[tex] = \ln( |u| ) + C[/tex]
[tex] = \boxed{\color{green}{ \ln( | \sec(x) + \tan(x) | ) + C}}[/tex]
Two variable equation
Simplify 3+2-16x9
Simplify : 4-3+7(12-2)
Answer:
[tex]3+2-16x9[/tex] is [tex]5-16x^9[/tex] [tex]4-3+7(12-2)[/tex] is [tex]71[/tex]
Step-by-step explanation:
Find y' if x = cos(y).
1. Solve for y (complex solution)
y=−iln(x2−1+x)+2πn1, n1∈Z
y=−iln(−x2−1+x)+2πn2, n2∈Z
2. Solve for y (Easier)
y=−arccos(x)+2πn1, n1∈Z
y=arccos(x)+2πn2, n2∈Z, ∣x∣≤1
calculate the values of the expression below 5 - 2 * 3 + 6 (3^2+1)
Answer:
= 59
Step-by-step explanation:
5 - 2 * 3 + 6 (3² + 1)
= 5 - 2 * 3 + 6 * 10
= 5 - 6 + 6 * 10
= 5 - 6 + 60
= 59
Answer:
59Step-by-step explanation:
[tex]5-2\times \:3+6\left(3^2+1\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3^2+1\right)\::\quad 10\\\\=5-2\times \:3+6\times \:10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times \:3\::\quad 6\\=5-6+6\times \:10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\times \:10\::\quad 60\\\\=5-6+60\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5-6+60\:\\\\:\quad 59[/tex]
The area of a rectangle is 36 units^2
The length is 9, and the width is Va.
What is the value of x?
What is the width of the rectangle?
Answer:
The width is 4
Step-by-step explanation:
the length times the with is the area
since the area is 36
9 times x = 36
so
since 9 x 4 = 36,
the width is 4
Can The intersection of two planes can be a ray.
Answer: Either the plane and the ray perfectly coincide in which case there is an infinity of solutions or the ray is away from the plane in which case there is no intersection. Generally in a C++ implementation, when the denominator is lower than a very small value, we simply return false (no intersection was found).
Step-by-step explanation:
Write an equation in slope-intercept form for each line described. Slope = 8, passes through (-7,5)
Answer:
Equation of given line: y=8x+61
See graph below for a visual of given straight line equation.
+graph%28+300%2C+300%2C+-10%2C+10%2C+-100%2C+100%2C+8x%2B61%29+
Vertical and passes through (-4,-2)
vertical slope means that the equation becomes: x=-4, (y does not matter)
hope it helps
work out 2 ¼÷ ½ as a single fraction
Show all your working.
Answer:
Step-by-step explanation:
[tex]2\frac{1}{4}[/tex] ÷[tex]\frac{1}{2}[/tex] = [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]
[tex]=\frac{9}{4}*\frac{2}{1}\\\\\\=\frac{9}{2}\\\\\\=4\frac{1}{2}[/tex]
What are the whole numbers between 3 to 10?
4, 5, 6, 7, 8 and 9 are the whole numbers between 3 to 10.
What are whole numbers?Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.
Two given whole numbers are 3 and 10.
The number of whole numbers between 3 to 10 is
(10-3)-1=6
The whole numbers between 3 to 10 are 4, 5, 6, 7, 8, 9.
Therefore, 4, 5, 6, 7, 8 and 9 are the whole numbers between 3 to 10.
Learn more about the whole numbers here:
https://brainly.com/question/29766862.
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A dealer sold a painting for $800. She made a profit of 25% on the price she paid for it. Calculate the price she paid for the painting.
Answer:
I may be wrong, but I believe the answer is $200.
f(x)= -5x+9 ; reflection in the y-axis a.g(x)=5x-9 b.g(x)=5x+9 c.g(x)=9x-5 d.g(x)=5x-5
Explanation:
When we reflect over the vertical y axis, every negative x value becomes positive and vice versa. So we effectively replace x with -x like so
f(x) = -5x+9
f(-x) = -5(-x)+9 ... replace every x with -x
f(-x) = 5x+9
g(x) = 5x+9
A point like (1,4) on f(x) will reflect over to (-1,4) on g(x). If we apply this to every point on f(x), then all of f(x) will reflect to g(x).
brainliest for correct answer
Answer:
Hey there!
The point (0,0) represents that 0 dollars are raised at the beginning of the fundraiser.
Let me know if this helps :)
Answer:
B. $0 is expected to be raised in the fundraiser.
Hope this helps!
Bill claims that he found the actual December temperature by adding either -5+3 or 3 +-5.
What property did Bill use?
Answer: Commutative property of addition
This is the idea that x+y is the same as y+x
We can add any two numbers in any order we want.
Other examples:
2+3 = 5 and 3+2 = 5
7+2 = 9 and 2+7 = 9
There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks
Complete question :
There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.
Answer:
575 - 12t
Step-by-step explanation:
Given the following :
Total number of fireworks = 575
Number of shots per minute = 12
To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.
In algebraic terms
[total number of fireworks on display - (number of shots per minute × t)]
575 - 12t
You buy halibut at $31 per pound. One portion of seared halibut requires 6 ounces of halibut. How much does the halibut for one portion cost? Round to the nearest cent.
Answer:
$11.63 per portion
Step-by-step explanation:
1 pound = 16 ounces
$31 per 16 ounces
31 / 16 = 1.94
$1.94 per ounce
1.94 x 6 = 11.63
$11.63 per portion
Express 72 as a product of its prim factor
Answer:
2 x 2 x 2 x 3 x 3 = 72
The area of a circular field is 154msqu. What is the perimeter of the field?(pi=22/7) 44 49 88 176
Answer:
44m
Step-by-step explanation:
A = [tex]\pi[/tex]r² = 154
= 22/7 * r² = 154
= r² = 154 * 7/22
= r² = 49
= r = √49
= r = 7m
Perimeter of circle = 2[tex]\pi[/tex]r
= 2 * 22/7 * 7
= 44/7 * 7
= 44 m
Hope it helps
Mark it as Brainliest
Answer:
44m
Step-by-step explanation:
Area of circular field=154m²
Perimeter of the field=?
At first,
Area =22/7×r²
154m²= 22/7×r²
154×7/22=r²
49=r²
7×7=r²
7=r
Now,
Perimeter = 2×22/7×7
= 44m
kinyua spent 1/4 of his net january salary on school fees .he spent 1/4 of the remainder on electricity,he spent 1/9 of what remained on transport,if he finally had sh 3400,calculate his net january salary
Answer:
1-1/4 = 3/4.
3/4-1/4 = 2/4 = 1/2.
1/2-1/9 = 9/18-2/18 = 7/18.
7x/18 = 8400
X = $21,600 = Net Jan. salary.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!