Answer:
7800 brownies will be produced in an 8 hour shift
Step-by-step explanation:
Given : The production rate is 975 brownies per hour at a bakery
To Find : how many brownies will be produced in an 8 hour shift?
Solution:
No. of brownies produced in 1 hour = 975
We are supposed to find No. of brownies produced in 8 hour
No. of brownies produced in 8 hour = 975 x 8=7800
Hence 7800 brownies will be produced in an 8 hour shift
Hope this helps ФωФ
Find all three distinct roots for X³ =1. (two of them are complex mumber). And show that sum of all roots is zero.
x ³ = 1
x ³ - 1 = 0
x ³ - 1³ = 0
Factorize the right side as a difference of cubes:
(x - 1) (x ² + x + 1) = 0
Then
x - 1 = 0 or x ² + x + 1 = 0
The first equation yields x = 1 as a root.
For the other equation, rearrange and complete the square to get the other two roots,
x ² + x + 1/4 = -3/4
(x + 1/2)² = -3/4
x + 1/2 = ±√(-3/4) = ± i √3/2
x = -1/2 ± i √3/2
x = (-1 ± i √3)/2
Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:
(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1
and adding to 1 indeed shows that the sum of roots is zero.
What if the following choices will simplify 7-5(3)^2
answers:
1)18
2)12
3)-38
4)None of the choices are correct
Answer:
-38
Step-by-step explanation:
7-5(3)^2
PEMDAS
Since there are no parentheses to execute
Exponents next
7-5(3)^2
7-5*9
Multiply and divide next
7 - 45
-38
Rick is driving to his uncle's house in Greensville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away. Which equation, when solved, will give the value of x?
Answer:
The equation which will give the value of x when solved is C. x + 20 = 120
x=100
Step-by-step explanation:
Total distance=120 miles
Distance covered=x miles
Distance remaining=20 miles
The equation is
Total distance=Distance covered + distance remaining
120 miles= x miles + 20 miles
120 miles - 20 miles = x miles
100 miles =x miles
Check:
Total distance=Distance covered + distance remaining
120 miles = 100 miles + 20 miles
120 miles =120 miles
The equation which will give the value of x when solved is C. x+20=120
-
What is the product?
(-3s +2)(4s-1)
Answer: -12s + -2
Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2
Answer:
-12s²+11s-2
Step-by-step explanation:
(-3s+2)(4s-1)
First you have to FOIL (First, inner, outter, last)
First: -3s × 4s
Inner: -3s × -1
Outter: 2 × 4s
Last: 2 × -1
Now you should have -12s² + 3s + 8s -2
----------------------
Next you combine your like terms
Finally you have your answer, -12s²+11s-2 .
What is the ratio DE of the length of to the length of BC?
Answer:
1:4
Step-by-step explanation:
so we are comparing the arc lengths to get the ratio of DE:BC
[tex] \beta \div 360 \times 2 \times \pi \times r[/tex]
to get arc length BC as
[tex] \beta \times \pi \times r \div 90[/tex]
and for DE as
[tex] \beta \times \pi \times r \div 360[/tex]
so divide DE by BC where beta pi r will cancel out. and you remain with 1/4 Wich will translate to 1:4
Х
32°
X =
degrees.
please
Answer:
58
Step-by-step explanation:
90+32= 122
180-122=58
Answer:
X = 122°
Step-by-step explanation:
A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.
32° + 90° = 122°
180° - 122° = 58°
The line is 180°.
180° - 58° = 122°
So x - 122°
Sorry if this was hard to understand but I hope I helped :)
The area of a square field is 60025 square metre. Find the perimeter of the field. With explanation .
Answer: P≈2.4×10 power5
Step-by-step Explanation: P=4a=4·60025=2.401×10 power5
Answer:
[tex]\huge \boxed{\mathrm{980 \ m}}[/tex]
Step-by-step explanation:
The formula for the area of a square is:
[tex]A=s^2[/tex]
The area is given as 60025 m².
We need to find the length of each side.
[tex]60025=s^2[/tex]
Take the square root of both sides.
[tex]s=245[/tex]
The side length is 245 m.
The formula for the perimeter of a square is:
[tex]P=4s[/tex]
Plug in the value for the side length.
[tex]P=4(245)[/tex]
[tex]P=980[/tex]
The perimeter of the field is 980 m.
I need help ASAP!!Please help me
Answer:
Below
Step-by-step explanation:
To find the volume of a rectangular prism find the area of a face and multiply it by the height
V = lwh
= (12)(5)(12)
= 720 km^3
Hope this helps!
Which of the following statements is true according to the measurements in the diagram? Image not set to scale.
Answer:
4th option
Step-by-step explanation:
The two triangles are not similar as their measurements are different
hope this helps
plz mark as brainliest!!!!!!
The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
Here, we have,
given that,
from the given diagram, we get,
triangle ABC => AB = 8
BC = 4
CA = 10
and, for triangle DCE =>
DE = 20
CD = 10
CE = 25
so, we get,
the three sides of the two triangles are not proportional with each other.
so, we have,
ΔABC and ΔEDC are not similar with each other.
we get,
The two triangles are not similar as their measurements are different.
Hence, The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
Learn more about Triangle congruency click here:
brainly.com/question/30256538
#SPJ2
If f(x)=5x-3 find x=2
A.7
B.4
C.-4
D.-5
Answer: A. 7
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given Information
f(x) = 5x - 3
x = 2
Substitute the value into the function
f(2) = 5 (2) - 3
f(2) = 10 - 3
f(2) = 7
Hope this helps!! :)
Please let me know if you have any questions
Help in 36 and 37 pls
Answer:
The answer of number 36 is G and the answer of number 37 is A
Algebra 1 need help ASAP
Answer:
Add 1 to both sides. Distribute the 4Subtract 8 from both sidesDivide both sides by 12I hope this helps!
pls ❤ and give brainliest pls
For a ,a relationship to be a function, which values cannot repeat: the x-
values or the y-values? *
Answer:
The x - valuesThe y-values repeat in various functions (for example: quadratic function: y=x²; y=4 for x=2 and for x=-2)
1. Round off $23.7667 to the nearest cent
2. 3.15 is between
3. $5.364 to the nearest 5 cents
PLease be quick!!!
Help me pls pls help me
Answer:
F. 1/2
Step-by-step explanation:
If the ratio of team assistants to players are 1/6 and there are 36 players that means that there are 6 team assistants. If we do the ratio of coaches to assistant that would be 3/6 or F. 1/2
Can someone PLEASE help with this question? thank you
Answer:
C) 1
Step-by-step explanation:
First half:
Invert and multiply
x²/y²*y³/x²=x²y³/y²x³=y/x
Second half:
Invert and multiply
1/y*x/1=x/y
Combine
y/x*x/y=xy/xy=1
HELLLPPPPPPPPP!!!!!!
Jermiah answer 90% of the questions on his test correctly. There are 40 questions on the test
Answer:
36 answered correctly
Step-by-step explanation:
Hey there!
Well 90% of 40 is 36.
This is true because 90% as a fraction not simplified is 36/40 and when we do,
36 ÷ 40 we get .9.
And we move the decimal places 2 times to the right in .9 and we get 90%.
Hope this helps :)
Answer:
36
Step-by-step explanation:
Help???
Find the value of x.
A.74
B.84
C.48
D.148
Answer:
A
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.
minor arc = 360° - 254° = 106° , then
x = [tex]\frac{1}{2}[/tex] (254 - 106)° = [tex]\frac{1}{2}[/tex] × 148° = 74° → A
The value of angle x will be 74°. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
We know that the sum of the minor arc and major arc made by a tangent in a circle will be 360 degrees.
Then the measure of the minor arc will be
⇒ 360° - 254°
⇒ 106°
We know that the angle made by the tangent is half of the major arc to the minor arc.
x = (254° - 106°) / 2
x = 148° / 2
x = 74°
The value of angle x will be 74°.
Then the correct option is A.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
Donny has three times as many candy canes as Marc. Marc has thirty more candy canes than Bob. They have 500 candy canes altogether. How many candy canes does Donny have?
Answer:
318
Step-by-step explanation:
Bob=x
Marc=x+30
Donny=3(x+30)
x+x+30+3x+90=500
5x=500-120
5x=380
x=76
Bob has x = 76
Marc has x+30=106
Donny has 3*112=318
318+106+76=500
The perimeter of a square is numerically equals to its area. Find its side and area.
Answer:
4 and 16 units²
Step-by-step explanation:
The perimeter of a square of side s = 4s and area = s² , equating gives
s² = 4s ( subtract 4s from both sides )
s² - 4s = 0 ( factor out s from each term on the left )
s(s - 4) = 0
Equate each factor to zero and solve for s
s = 0
s - 4 = 0 ⇒ s = 4
However, s > 0, thus s= 4
That is side = 4 units and area = 4² = 16 units²
Please answer this question now
Answer:
AB = 72°
Step-by-step explanation:
The inscribed angle ADC is half the measure of its intercepted arc, thus
56° = [tex]\frac{1}{2}[/tex] ( m ABC ) ← multiply both sides by 2
112° = ABC
ABC = AB + BC = AB + 40, so
AB + 40 = 112 ( subtract 40 from both sides )
AB = 72°
round 1.89 to one decimal place
Answer:
1.9
Step-by-step explanation:
You round when the numbers behind the decimal are 5 or greater. This being said, you need to round from the number furthest away from the decimal. In this case it would be 9. 9 is greater than 5 so we round 8 up to 9 and get rid of the number behind it. We are left with 1.9
(SAT Prep) Find the value of x
Answer:
55°Step-by-step explanation:
It should be:
x - 25 = 45 - 15x = 30 + 25x = 5520. Which of the following is not an identity?
a) sin2 a+cos2 a = 1
b) sin a = tan a * cos a
c) 1 + cot2 a = csc2 a
d) 1 - sec2 a = tan2 a
Answer: Choice D) 1 - sec^2(a) = tan^2(a) is not an identity.
================================================
Explanation:
a) is the pythagorean trig identity assuming you meant to write sin^2(a)+cos^2(a) = 1
b) is a rewritten version of tan = sin/cos. You multiply both sides by cos(a).
c) is an identity that you can find through dividing everything in equation (a) by sin^2. I'm assuming you meant to put exponent symbols before each "2".
d) is not an identity. I recommend looking at a table or graph that compares the two sides as separate functions. You should see they are not the same. The actual identity should be sec^2(a) - 1 = tan^2(a). You divide both sides of equation (a) by cos^2 and do a bit of algebra to get it into this form.
Answer it answer it answer it.
Answer:
Option C. P = 3/q
Step-by-step explanation:
To know the the correct answer to the question, do the following:
Let us assume a certain number for P say 2 and 3, and then, find the corresponding value for q in each case to see which will give a decreased value for q.
Option A
When P = 2, q =.?
P = 3q
2 = 3q
Divide both side by 3
q = 2/3
When P = 3, q =.?
P = 3q
3 = 3q
Divide both side 3
q = 3/3
q = 1
From the above illustration, we can see that as P increase, q also increase.
Option B
When P = 2, q =.?
P – 3 = q
2 – 3 = q
q = – 1
When P = 3, q =.?
P – 3 = q
3 – 3 = q
q = 0
From the above illustration, we can see that as P increase, q also increase.
Option C
When P = 2, q =.?
P = 3/q
2 = 3/q
Cross multiply
2 × q = 3
Divide both side by 2
q = 3/2
q = 1.5
When P = 3, q =.?
P = 3/q
3 = 3/q
Cross multiply
3 × q = 3
Divide both side by 3
q = 3/3
q = 1
From the above illustration, we can see that as P increase, q decreases.
Option D.
When P = 2, q =.?
1/p = 3/q
1/2 = 3/q
Cross multiply
1 × q = 2 × 3
q = 6
When P = 3, q =.?
1/p = 3/q
1/3 = 3/q
Cross multiply
1 × q = 3 × 3
q = 9
From the above illustration, we can see that as P increase, q also increase.
Now, haven done the above, only option C gives a decreased value for q as the value of P increases.
c
this before
Step-by-step explanation:
Given that ΔABC is a right triangle with a right angle at C, if tan A = [tex]\frac{5}{4}[/tex], find the value for tan B.
A. tanB = [tex]\frac{3}{4}[/tex]
B. tanB = [tex]-\frac{4}{5}[/tex]
C. tanB = [tex]\frac{4}{5}[/tex]
D. tanB = [tex]-\frac{5}{4}[/tex]
Answer:
C
Step-by-step explanation:
tan A = [tex]\frac{5}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] , thus
The opposite side is the adjacent side for B and the adjacent side is the opposite side for B, thus
tan B = [tex]\frac{4}{5}[/tex]
Simplify the following expression:
-3(x+6)+8x
3x-25
5x-22
-11+3x
5x-18
Answer:
5x -18
I hope this helped! have a nice day! :)Answer:
5x+18
Step-by-step explanation:
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:
Answer:
30 people took part in the survey
Step-by-step explanation:
5+7+6+5+4+3= 30
please help me is for my homework
Answer:
50%
Step-by-step explanation:
so 1 half is colored in so 1/2 is also 50%
Answer:
it's 50% because it's half the circle