Answer:
Concept: Modeling expressions
We are given the equation [tex]200 - 16 {t}^{2} [/tex]We want to find the time after 0.75 seconds given that t is represented in seconds.Hence we do [tex]200 - 16(0.75)^{2} [/tex]Hence we get the answer to 191 feetThe height of the object that falls after 0.75 seconds given that t is represented in seconds is 191 feet.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The expression 200 - 16t^2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped.
We need to find the time after 0.75 seconds given that t is represented in seconds.
The expression is given
[tex]200 - 16t^2[/tex]
time t = 0.75
Substitute the value of t in the given expression
= 200 - 16(0.75)^2
= 200 - 9
= 191
Hence we get the answer to 191 feet.
Learn more about quadratic equations;
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Find the perimeter of the figure.
Answer:
It's 54
Step-by-step explanation:
John builds a wooden box. ∙ The box is 3 feet long. ∙ The height is half the width. ∙ The volume is 4 times the width. Which equation can be used to find the width, w , of the box?
Answer:
4w=w*3*1/2w
Step-by-step explanation:
4w=w*3*1/2w
HURRY ITS IMPORTANT 7
What decimal represents ten and seventy-five hundredths? Show your work.
Answer:
10.75
Step-by-step explanation:
Orange Street has a y-intercept of -4 and a slope of 4/5
Write out this equation as y = mx + b
Answer:
y = 4/5x - 4
Step-by-step explanation:
Slope intercept is [ y = mx + b ] where m = slope and b = y-intercept. We are already given both so we can fill it in.
y = 4/5x - 4
Best of Luck!
Answer:
Orange Street has a (b=)y-intercept of -4 and a (m=)slope of 4/5
Therefore, m=4/5 and b= -4
y = mx+b
y = 4/5x+(-4)
y = 4/5x - 4 is the right answer.
Translate the sentence into an equation The sum of 6 times a number and 8 equa's 7 Use the variable b for the unknown number 6 - 0
Answer:
6b + 8 = 7
Step-by-step explanation:
The proper translation of the sentence is 6b + 8 = 7.
Solving for b, we get 6b = -1 and b = -1/6
How is "6 - 0" part of this problem?
Jim went to the playground. He played on the swings for 45 minutes and went on the slide for 55 minutes. It was 4:35 P.M. when Jim left the playground. What time was it when Jim arrived at the playground?
Answer:
2:55 P.M.
Step-by-step explanation:
First, add the amount of time Jim played outside; 45+55=100
100 minutes is equal to 1 hour 40 minutes.
If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.
Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.
To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.
Hope this helped !!!
Factor the GCF from 96x2 + 88x.
Answer:
Step-by-step explanation:
1) Determine the GCF of the numbers 96 and 88
=> Decompose each number in their prime numbers:
=> 96 = (2^5)(3)
=> 88 = (2^3) (11)
=> GCF of 96 and 88 = 2^3 = 8
2) Determine the GCF of the letters, x^2 and x
=> x
3) Conclude the GCF of the terms is 8x
4) Now you can factor the expression by dividing each term by the GCF, 8x:
96 x^2 / (8x) = 12x
88x / (8x) = 11
The factored form is (8x) (12x + 11)
Answer:
Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements.
The GCF of 96x2 and 88x ✔ 8x
Each term is written as a product, where one factor is the GCF, is ✔ 8x(12x) + 8x(11)
The factored form of the expression is ✔ 8x(12x + 11)
Estimate 48% of 60 is a.3000 B.300 C.30 D.3
Answer:
I'm pretty sure it's C
Step-by-step explanation:
Well if you type 48% of 60 into a calculator it will give you 28.8
Since it says to estimate it, It will be C. because 30 is the closest estimate to 28.8
Find the value of "c". 4c + 18 = 74 *
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
how to solve 2 divided by 1/7
Answer:
14
Step-by-step explanation:
You can put it as a fraction like so:
2/1 divided by 1/7
Use the strategy KCF (Keep, Change, Flip)
2/1 x 7/1
=2x7
=14
The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
equation to find the value of x.
The equation is
Enter your answer in the answer box and then click Check Answer
Answer:
i. [tex]x^{2}[/tex] + 26x + 144 - 299 = 0
ii. x = 5
Step-by-step explanation:
The area of the figure = 299 cm²
The figure has a shape of a rectangle, so that;
Area of rectangle = length x width
length of the figure = 18 + x
width of the figure = 8 + x
Area of the figure = (18 + x) x (8 + x)
299 = (18 + x) x (8 + x)
299 = [tex]x^{2}[/tex] + 26x + 144
[tex]x^{2}[/tex] + 26x + 144 - 299 = 0
[tex]x^{2}[/tex] + 26x - 155 = 0
applying the trigonometric formula;
x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
= (-26 ± [tex]\sqrt{(26)^{2} - 4(1*-155)}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{676 +620}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{1296}[/tex]) ÷ 2
= (-26 ± 36) ÷ 2
x = (-26 + 36) ÷ 2 OR x = (-26 -36) ÷ 2
= 10 ÷ 2 OR -62 ÷ 2
= 5 OR -31
Thus, x = 5
Write an equation for the line in standard form
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substituting the values of the coordinates for two known points, we have;
[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
I have no idea.........
Answer:
me either dude
Step-by-step explanation:
Exponential functions do not form straight lines.
3(x+2)=9(6-x)
Answer please and show your work :D
Answer: x=4
Step-by-step explanation: 3x+6= 54-9x
6= 54 -12x
-48=-12x
x=4
Peony mixes red paint and white paint in the ratio 1:3 She uses four tins of red paint Work out the total number of tins of paint peony uses
Answer:
16
Step-by-step explanation:
4x3=12 tins of white paint
12+4=16 total tins
The total number of tins used by the Peony will be 16.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that Peony mixes red paint and white paint in a ratio of 1:3 She uses four tins of red paint.
The Number of red tins,
R = 4 x 1 = 4
The number of white tins,
W = 4 x 3 = 12
Total number of tins,
T = R +W
T = 4 + 12
T = 16
Therefore, the total number of tins used by the Peony will be 16.
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Apply properties of operations to write an equivalent expression t+t+t+t
Answer:
4t
Step-by-step explanation:
Please help.. :(
This is confusing
Answer:
x² + 4x + 9
Step-by-step explanation:
This is just adding like terms (Adding x²'s to each other, adding x's to each other, etc.)
3x² - 2x² = x²
-x + 5x = 4x
7 + 2 = 9
So all together its x² + 4x + 9.
The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?
Answer:82feet tall
Step-by-step explanation:
help please i dont know what to doooo
If 5 model airplanes cost $10, what is the unit price of the model airplanes?The unit price is $ per model airplanes.
Answer:
2 is the answer to you question
Step-by-step explanation:
Which of the following values of x will result in a true statement when
substituted into the given equation?
-3(x - 2) = 9
OA) X= 1
OB x = -1
OO. X = 3
OD. X = -3
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
-3(x-2)=9 Equation/Question
Step 2
-3(x-2)=9 Remove parenthesis
3x+6=9
Step 3
3x+6=9 Add -6
-3x=3
Step 4
−3x=3 Divide
answer
x=-1
Hope this helps
m/4-7=-3 what is the value of m
m/4-7= -3
m/4-7+7= -3+7
=> 16
Ans. Value of m is 16.
Hope this helps!
Answer:
Answer is 1 because it -3+7/4=1
Consider the relation (9,8) (2,6) (1,5) (8,3) (5,7)
What is the domain of the relation?
Enter each value on the same line, separated by commas.
Domin =
Answer:
Step-by-step explanation:
Given the relation (9,8) (2,6) (1,5) (8,3) (5,7),
Domain= {9,2,1,8,5}
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What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6
Answer:
6:8:10:12
Step-by-step explanation:
Scale factor of 2-
3:4:5:6
multiply each number by 2
6:8:10:12
Find x and decide if that side (with the x) is an Altitude
Use a Pythagorean Triple to find x.
1.
45
2.
8
24
3.
4.
28
96
Answer:
b = 15c = 51c = 100b = 25.75Step-by-step explanation:
Using the Pythagoras theorem equation:
[tex]c^{2}=a^{2}+b^{2}[/tex]
Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.
1) Here c = 17, a = 8 and b = ?
Then, using the above equation we can find the side b.
[tex]17^{2}=8^{2}+b^{2}[/tex]
[tex]b=\sqrt{225}[/tex]
[tex]b=15[/tex]
2) Here a = 24, b = 45 and c = ?
[tex]c=\sqrt{24^{2}+45^{2}}[/tex]
[tex]c=51[/tex]
3) Here a = 28, b = 96 and c = ?
[tex]c=\sqrt{28^{2}+96^{2}}[/tex]
[tex]c=100[/tex]
4) Here a = 17, b = ? and c = 28
[tex]b=\sqrt{28^{2}-11^{2}}[/tex]
[tex]b=25.75[/tex]
Just in the 4 case x is an altitude.
I hope it helps you!
When factored completely, x3+ 3x2 - 4x-12 equals?
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Dont know the full thing but hope some of this helps!
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Evaluate the expression. Write the answer in simplest form.
4÷16/17=
Step-by-step explanation:
Turn 4 into 4/1. Then switch 4/1 or 16/17 because I don't know which to switch. If you don't know what I'm talking about, when you switch 4/1 or 16/17, you'll get 1/4 or 17/16. Then you multiply 1/4 × 16/17 or 4/1 × 17/16. You multiply across, like this, 1 × 16 and 4× 17 Same thing with 4/1 × 17/16 but backwards (4×17 and 1×16). Do both equation (4/1 × 17/16 and 1/4 × 16/17) by yourself, then simplest it. Example: 2/4 = 1/2. You divide 2/4 by two, 2÷2 for the numerator and 4÷2 for the denominator. That how you simply.
50 points if someone can help me with these 2 math questions.
Answer:
[Left question]
A to C = 0.9
[Right question]
-1/3 > -5.4
___________
Explanation:
For the question on the left:
The number line counts by 0.3 every time. For each value in front of -0.5, just add 0.3 and that will be the next value.
For the question on the right:
-1/3 > -5.4 , because negative numbers closer to zero are bigger.
During a sale, a store offered a 30% discount on a particular camera that was
originally priced at $650. After the sale, the discounted price of the camera was
increased by 30%. What was the price of the camera after this increase?
Answer:
Step-by-step explanation:
Ten go ceiba when we go high school get gud