Answers
6. d = 24 and w = (-4)
[tex]-\frac{d}{6} -5-8w=-\frac{24}{6} -5-8(-4)=-4-5+32=23[/tex]
7. n = 7 and d = 2
[tex]-7d +2(6n - 9)\\ = -7(2) + 2(6(7) - 9) \\= -14 +2(42-9)\\=-14+2(33) = -14 + 66 = 52[/tex]
8. d = (-6) and w = (-9)
[tex]8-\frac{d}{3} +6w=8-\frac{(-6)}{3} +6(-9)=8+2-54 = -44[/tex]
9. s = 4 and z = (-5)
[tex]\frac{8}{s} +3+4z=\frac{8}{4} +3+4(-5)=2 + 3 - 20 = 5 -20 = -15[/tex]
Hope that helps!
Related Questions
PLEASEEEE HELPPPPP A flying disk is thrown into the air from a height of 25 feet at time t=0. The function that models this situation is h(t) = -16t2 + 75t + 25, where t is measured in seconds and h is the height in feet. Which values best describe the domain of the function in the context of the problem?
A. 0 ≤ t ≤ 5
B. 0 ≤ t ≤ 25
C. All real numbers
D. All positive integers
Answers
Answer:
A)
Step-by-step explanation:
Given function:
[tex]h(t)=-16t^2+75t+25[/tex]
The domain (input values) will be the x-intercepts, so the values of t when h(t) = 0.
The quickest way to find these is to use the quadratic formula.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\implies t=\dfrac{-75 \pm \sqrt{75^2-4(-16)(25)} }{2(-16)}[/tex]
[tex]\implies t=\dfrac{-75 \pm \sqrt{7225}}{-32}[/tex]
[tex]\implies t=\dfrac{75 \pm 85}{32}[/tex]
[tex]\implies t=5, t=-\dfrac{5}{16}[/tex]
Time cannot be negative.
When h(t) = 0, the disk will hit the floor.
Therefore, the domain is restricted to 0 ≤ t ≤ 5
Which dog pens have the same perimeter?
Answers
Answer:
Problem 4: Dog pens 2 and 3
Problem 5: Dog Pens 1 and 2
Problem 6: 6cm and 6cm
problem 7: A
Step-by-step explanation:
Brian is participating in a hotdog eating contest. There are 145 hotdogs on his plate and he will have 8 minutes to eat as many as he can. If he eats 12 hotdogs per minute, how many hotdogs will he have left over?
Answers
Answer:
49
Step-by-step explanation:
12 hotdogs per min × 8 minutes = 96
145-96= 49
So he will have 49 hotdogs left.
In a computer game whenever you shoot a dragon you get 12 points, but when you miss then you lose 4 points. After 100 shots you have 224 points. How many times have you hit a dragon
Answers
Answer:
39
Step-by-step explanation:
Let h: hit
Let n: not hit
1) We can create two equations and solve them simultaneously using the substitution method or elimination.
h + n = 100
12h - 4n = 224
2) Solve them. I will demonstrate using the substitution method.
n = 100 - h
-----------------------
12h - 4(100 - h) = 224
12h - 400 + 4h = 224
16h = 224 + 400
16h = 624
h = 624/16
h = 39
3) Substitute the result into one of the equations above.
n = 100 - 39
n = 61
Since the question wants you to write the number of times the dragon was hit, the answer is 39.
a pool is leaking water at a constant rate. The amount of water in the pool changes by -1 1/4 every hour. what is the total change in the water after 2 1/2 hours
Answers
The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,
What are fractions?A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.
What is the total change in the water?The total change in the water = -1 1/4 x 2 1/2
= -5/4 x 5/2 = -25/8 = -3 1/8
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
Find the area of the figure.
A: 114 cm2
B: 350 cm2
C: 418 cm2
D: 447 cm2
Answers
Answer:
The answer is C. 418cm2
Step-by-step explanation:
Please help, will give brainest
Answers
its 8th grade math i did not pay attention
Answers
Answer:
a = 11
Step-by-step explanation:
Using the Pythagorean Theorem:
[tex] {a}^{2} + {26.4}^{2} = {28.6}^{2} [/tex]
[tex] {a}^{2} + 696.96 = 817.96[/tex]
[tex] {a}^{2} = 121[/tex]
[tex]a = 11[/tex]
I really hate maths :(
Answers
im trying to get htis one right i dont get it
Answers
Answer:
I'd love to help, but I need the full question first!!!
I need to know what it is
Answers
Answer:
1. C 3 1/8
2. A 3
Step-by-step explanation:
Which triangles are similar?
A. Triangles A and B
B. Triangles A, B, and C
C. Triangles A and C
D. Triangles B and C
Answers
Answer:
D. Triangles B and C
Step-by-step explanation:
When we look to Triangles B & C :-
37° = 37°
53° = 53°
90° = 90°
Therefore, both Triangles B and C are similar.
Answer:
D. Triangles B and C
Step-by-step explanation:
A school district planted maple trees and oak trees to make a school forest. The district planted 504 trees altogether. The district planted 11 times as many maple trees as oak trees.
How many maple trees did the school district plant?
Answers
Answer:
Number of maple trees planted = 462
Step-by-step explanation:
Let the number of oak trees planted be x.
Given,
The number of maple trees is 11 times the number of oak trees.
Therefore,
Number of maple trees planted = 11 * x = 11x
Total number of trees planted = Number of oak trees planted + Number of maple trees planted
504 = x + 11x
504 = 12x
x = 504/12 = 42
Number of oak trees planted = x = 42
Number of maple trees planted = 11x = 11 * 42 = 462
Everett bought a hat and a shirt that were both on sale. The hat was on sale for 2/5 off the original price, and the shirt was on sale for 1/10 off the original price. How much more was the discount on the hat than the discount on the shirt?
Answers
Answer: 3/10
Step-by-step explanation:
Hat price 3/5
Shirt price 9/10
Difference in Discount 2/5 - 1/10 = 4/10 - 1/10
Please hurry!!!
A total surface area of all land on Earth is approximately 6.0x10^7 square miles. Land covers approximately 0.3 of the entire surface of Earth. Which number is closest to the approximate total surface area, in square miles, of Earth?
Answers
Answer: 1.8 X 10^8
Step-by-step explanation: 6.0 X 10^7 times .3 = 1.8 X 10^8
Which expression is equivalent to startfraction c squared minus 4 over c 3 endfraction divided by startfraction c 2 over 3 (c squared minus 9) endfraction? startfraction c 3 over c squared minus 4 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction startfraction c squared minus 4 over c 3 endfraction divided by startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction
Answers
The options have not been given but three correct alternatives have been presented as the solution.
We have given,
[tex]\frac{c^2-4}{c+3} /\frac{c+2}{3(c^2-9)}[/tex]
Applying the rule a^2-b^2 to the numerator of the first term and the denominator of the second term,
What is the rule of a^2-b^2?[tex](a^2-b^2)=(a-b)(a+b)[/tex]
By applying the above formula we have:
[tex]=\frac{c^2-2^2}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
[tex]=\frac{(c-2)(c+2)}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
Therefore the solution is,
[tex]=(c-2) \times 3(c-3)\\\\=3(c^2-5c+6)\\\\=3c^2-15c+18[/tex]
To learn more about the expression visit:
https://brainly.com/question/723406
Answer:
C.) StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction"/>
Step-by-step explanation:
Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (c squared minus 9) EndFraction?
StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
Two whole numbers have a least common multiple of 24.
Each of these numbers is less than or equal to 12.
The greatest common factor of the two numbers are 4.
What are the two numbers?
A. 6 and 12
B. 8 and 12
C. 4 and 8
D. 4 and 12
Answers
Answer:
Step-by-step explanation:
A. Greatest common factor is 6, so wrong.
B. Correct.
C. Wrong, least common multiple is 8.
D. Wrong, least common multiple is 12.
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11) 3(x 11) x2(x 11) – 3(x 11)
Answers
The one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
[tex]x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_[/tex]
We will find the final solution as [tex]x^2(x+11)-3(x+11)_[/tex].
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
To learn more about the factorization refer to the link;
https://brainly.com/question/24182713
How many classes are there in the frequency distribution table that has 50 raw data?
Answers
Answer:
A frequency distribution is a table that shows “classes” or “intervals” of data entries with a count of the number of entries in each class.
Step-by-step explanation:
hope this helps you a little!
What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)
Answers
The antilog provides the solution to the logarithmic equation. Then x has values of 2 and 4.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The logarithmic equation is given below.
[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]
Take antilog, then we have
[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]
Then the value of the x is 2 and 4.
More about the factorization link is given below.
https://brainly.com/question/6810544
The hands of clock form a 120° angle. What time is it? A. 2:00 B. 4:00 C. 6:00 D. 9:00
Answers
Answer:
4
Step-by-step explanation:
360 degrees in a circle /12 numbers on clock= 30 degrees for each number 120/30=4
The parallel sides of a Trapezium are 77 and 60 and its non parallel sides are 26 and 25 m find the area of trapezium
PLEASE GIVE FULL METHOD
Answers
Answer:
Area of Trapezium=1/2h(L1+L2)
I think it will help you
The equation p(h)=5,000 • 2^h represents a bacteria population as a function of time in hours.
Answers
Check the picture below.
[tex]p(h)=5000(2)^h\implies \stackrel{p(h)}{100000}~~ = ~~5000(2)^h\implies \cfrac{100000}{5000}=2^h \\\\\\ 20=2^h\implies \log(20)=\log(2^h)\implies \log(20)=h\log(2) \\\\\\ \stackrel{\textit{using the \underline{change of base rule}}}{\cfrac{\log(20)}{\log(2)}=h\implies \log_2(20)=h}\implies 4.3219\approx h[/tex]
A rectangular prism with a volume of 400 cubic centimeters has the dimensions x 1 centimeters, 2x centimeters, and x 6 centimeters. the equation 2 x cubed 14 x squared 12 x = 400 can be used to find x. what is the length of the longest side? use a graphing calculator and a system of equations to find the answer. 4 centimeters 5 centimeters 8 centimeters 10 centimeters
Answers
A rectangular prism with a volume of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm with the value of x being 4.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeter, 2x centimeters, and x + 6 centimeters.
Volume of rectangular prism = (length x width x height)
400 cm³ =( x + 1 )(2x)(x + 6 )
400 cm³ =( x + 1 )(2x)(x + 6 )
Substitute 4cm as the value of x.
x + 1 centimeters = 4 cm + 1 cm = 5 cm
2x centimeters = 2 ( 4cm) = 8 cm
x + 6 centimeters = 4 cm + 6 cm = 10 cm
Volume of rectangular prism = 10 cm × 5 cm × 8 cm
= 400 cm³
Thus, the given rectangular prism of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm.
Learn more about rectangular prism;
https://brainly.com/question/15843335
Answer:
Step-by-step explanation:
its 10
Colorado is roughly shaped like a rectangle. The state is about 6.12 x 105 m long and 4.5 x 105 m wide. Wyoming has an area of about 2.6 x 1011 m2. What is the estimated difference of area between the two states? Write your answer using scientific notation. Show your work.
Answers
The estimated difference of the area of Colorado and Wyoming in scienfic notation is 2 x [tex]10^{-1}[/tex]m².
What is the difference in the area of the states?Scienfic notation is used in expressing large numbers in smaller numbers. In order to write a number in stscienfic notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
Area of Colorado = (6.12 x [tex]10^{5}[/tex]) x (4.5 x [tex]10^{5}[/tex]) = 27.54 x [tex]10^{10}[/tex]
= 2.8 x [tex]10^{11}[/tex]m²
Difference in the areas = 2.8 x [tex]10^{11}[/tex]m² - 2.6 x x [tex]10^{11}[/tex]m² = 0.2m²
= 2 x [tex]10^{-1}[/tex]m²
To learn more about scienfic notation, please check: https://brainly.com/question/25334755
What is the percent of decrease from 80 to 0?
Answers
Answer:
100%
Step-by-step explanation:
You take everything away meaning you take 100% of the starting value to make it 0
hi please help i’m having trouble solving these
Answers
Step-by-step explanation:
4) 36
5) 45⁰
6) 42⁰
I hope it helped you
18. 54 grams of a certain brand of breakfast cereal contain 190 calories. Let g
represent grams of cereal and c represent calories. Identify the type of variation,
find the constant, and write an equation to represent the relationship between
grams and calories.
Answers
Answer:
The relation is c = 3.519g.
Step-by-step explanation:
This is direct variation.
c = kg where k is the constant of variation.
Substituting the given values:
190 = k * 54
so the constant of variation is:
k = 190/54 = 3.519 to nearest thousandth,
and the equation is:
c = 3.519g.
3x^2-2x+3
when x is 7???
Answers
Answer:
136
Step-by-step explanation:
Let's plug in 7 for x. 3(7)^2-2(7)+3. 7 to the second power is 49. 49*3 is equal to 147. 147-2(7) is 147-14, which is 133. 133+3=136, and therefore that is the answer.
Answer:
136
Step-by-step explanation:
substitute x = 7 into the expression
3x² - 2x + 3
= 3(7)² - 2(7) + 3
= 3(49) - 14 + 3
= 147 - 11
= 136
The difference between three times an angle's measure and its complement is 46. Find the measure of the angle
Answers
Answer:
Step-by-step explanation:
Equation
Let the angles measure = x
Let the complimentary angle = 90 - x
3x - (90 - x) = 46 Remove the brackets
Solution
3x - 90 + x = 56 Combine like terms on the left
4x - 90 = 56 Add 90 to both sides
4x - 90 +90 = 56 + 90 Combine
4x = 146 Divide by 4
4x/4 = 146/4
x = 36.5
Answer
The given angle is 36.5