Answer:
[tex]\boxed{35\°}[/tex]
Step-by-step explanation:
Angle 1 is 55 degrees.
The whole angle of the upward left corner is 90 degrees.
[tex]90-55=35[/tex]
Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.
Angle 2 is 35 degrees.
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 118 t + 115 . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.
Answer:
A.) 24.08 seconds
B.) 825.42 metres
Step-by-step explanation:
function of time is given as
h ( t ) = − 4.9 t 2 + 118 t + 115 .
Where a = -4.9, b = 118, c = 115
Let's assume that the trajectory of the rocket is a perfect parabola.
The time t the rocket will reach its maximum height will be at the symmetry of the parabola.
t = -b/2a
Substitute b and a into the formula
t = -118/-2(4.9)
t = 118/9.8
t = 12.041 seconds
Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.
2t = 2 × 12.041 = 24.08 seconds
Therefore, the rocket splashes down after 24.08 seconds.
B.) At maximum height, time t = 12.041s
Substitute t for 12.041 in the function
h ( t ) = − 4.9 t 2 + 118 t + 115
h(t) = -4.9(12.041)^2 + 118(12.041) + 115
h(t) = -4.9(144.98) + 118(12.041) + 115
h(t) = -710.402 + 1420.82 + 115
h(t) = 825.42 metres
Therefore, the rocket get to the peak at 825.42 metres
The baker makes54 biscuits in the morning. Then he makes 26 more in the afternoon.
Answer:
80 biscuits
Step-by-step explanation:
The question is not a whole question so I am just assuming that the question is how many biscuits were baked the whole day
Hope this helps :)
Amina sees a discount of 5% on a laptop. She can calculate the amount she has to pay for the laptop using the expression where b is the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b? A. $500 B. $505 C. $510 D. $520 E. $525
Answer:
D. $520
Step-by-step explanation:
A 5% discount means you are paying 95% of the original price.
494 divided by 0.95 = 520
Answer:
d 520
Step-by-step explanation:
a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator
Add
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)
Answer:
5x^4+ 2x^3+3x² – 3x + 2
Step-by-step explanation:
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)
Combine like terms
5x^4+ 2x^3+3x² – 3x + 3– 1
The only like terms are the constants
5x^4+ 2x^3+3x² – 3x + 2
Answer:
5x^4 + 2x^3 -3x^2 - 3x + 2
Step-by-step explanation:
Expanding out the brackets:
5x^4 + 2x^3 - 1 + 3x^2 - 3x + 3.
Simplifying gives
5x^4 + 2x^3 - 3x^2 - 3x + 2
Remember you can only add x's together if they have the same power. This makes sense why you can 2 to -1 because they are both the same power of x, x^0. (which equals 1 by default)
Which an equation of a line that has a y-intercept at (0,0) (create your own slope)
Answer:
y = 3x
Step-by-step explanation:
Assume a slope of 3
The y intercept is 0
The slope intercept form of the equation is
y= mx+b where m is the slope and b is the y intercept
y =3x+0
y = 3x
I need help finding which one is the dependent variable and the independent variable.
Why do grocery stores hire most younger people than older people?
Answer:
Younger ppl- Independent variable
Older ppl - Dependent variable
Step-by-step explanation:
Older ppl r old and need more attention and they r usually slow workers......Whereas ypung ppl r active and energetic and can do work a lot faster the old ppl
Dats the only answer dat came into my mind
Hope this helps....
Pls mark my answer as brainliest :)A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.
Answer:
24 ft.
Step-by-step explanation:
2x12=24
Please help with these
Answer: Problem 3. angle 1=78, angle 2=102
Step-by-step explanation:
Every straight line has 180 degrees. 40 +62=102. 180-102 is 78. The unmarked angle in the triangle is 78 degrees. Using that, you can find angle 1. Every triangle has 180. You know two of the angles (78 and 58) so 78+58+angle 1=180. 78+58=136. The missing angle equals 180-136. Angle 1 is 44.
To solve angle 2, keep in mind that there are 180 degrees in a straight line. Angle 1 and 2 make a straight line. Because we know angle 1 is 78, 180-78 equals angle 2. Angle 2 is 102 degrees
Sorry i only did problem 3 but i hope this helped you
The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.
Answer: [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
Step-by-step explanation:
In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.
Also, CE = CD = radius
⇒ ∠CED = ∠CDE ---(i) [angles opposite to equal sides of triangle are equal]
Since radius makes a right angle with tangent.
So, ∠CDF = 90°
⇒ ∠CDE =∠CDF - ∠EDF
⇒ ∠CDE= 90° - 84°
⇒ ∠CDE = 6°
From (i) ∠CED =∠CDE = 6°
In ΔCDE
⇒∠CED + ∠CDE + ∠ECD = 180°
⇒ 6°+6°+ ∠ECD = 180°
⇒ 12°+ ∠ECD = 180°
⇒∠ECD = 180° - 12°
⇒∠ECD = 168°
Since , Angle measure of the central angle is equal to the measure of the intercepted arc.
Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]
⇒[tex]m\overbrace{ED}[/tex]= 168°
Hence, [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x + 3) 2
Answer:
[tex]\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
50 points plus brainliest if you get the answer right! Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation.
When rolling two six-sided dice, the theoretical probability of getting a sum of 7 is 6/36 = 1/6 since there are 6 ways to roll a 7 (see the list of sums below) out of 6*6 = 36 outcomes total.
1+6 = 72+5 = 73+4 = 74+3 = 75+2 = 76+1 = 7The experimental probability is just whatever results you record when you roll the two dice yourself. This will vary person to person. At first, the experimental probability is likely not going to be close to what it theoretically should be. However, as the number of rolls increases, the experimental probability should slowly approach the theoretical value.
Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 4 x squared, M Subscript 2 Baseline. Second column entries are M Subscript 1 Baseline, negative 5. Which terms should Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x
Answer:
5x and -4x
Step-by-step explanation:
Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...
5x and -4x
Answer:
A. -5x and 4x
:)
Hope this helps!
Good luck yalls
can someone help please? i’ll give brainliest
Answer:
Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.
Step-by-step explanation:
Let's define toppings as [tex]t[/tex].
If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.
[tex]9.25 + 0.75t[/tex]
If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).
9.25+0.75t ≤ 13.75
Now lets solve the equation.
We can subtract 9.25 from both sides, which gets us
0.75t ≤ 4.5
Now we can divide both sides by 0.75 to isolate t.
t ≤ 6
So, the maximum number of toppings you can order is 6.
Hope this helped!
Answer:
6
Step-by-step explanation:
so default for pizza is 9.25
and toppings vary depending on number so 0.75x
so I guess 9.25+0.75x<=13.75-variable
equation-9.25+0.75x=13.75
solve to get 0.75x=4.5
x is 6 not sure
3^2x3^5x3^7 In index form
Answer:
[tex]3^{14}[/tex]
Step-by-step explanation:
Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]
To simplify the expression, we apply the addition law of indices.
Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:
[tex]a^x \times a^y=a^{x+y}[/tex]
Therefore, since we have the number 3 as the same base in all the terms:
[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?
Answer:
Step-by-step explanation:
Refer the answer of https://brainly.com/question/17115212
Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
:
Which expression is correctly written in scientific notation?
A. 398 x 10^1 B. 39.8 x 10^2
C. 3.98 x 10^4 D. .398 x 10^3
Need answer ASAP
Answer:
C. 3.98 x 10^4
Step-by-step explanation:
We are only allowed one non zero digit before the decimal
A. 398 x 10^1 3 non zero digits
B. 39.8 x 10^2 2 non zero digits
C. 3.98 x 10^4 1 non zero digit
D. .398 x 10^3 0 non zero digits
Which of the following theorems verifies that HIJ= KLM?
Answer:
D
Step-by-step explanation:
We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)
Answer:
[tex]\boxed{HA}[/tex]
Step-by-step explanation:
The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.
=> IJ ≅ LM (Hypotenuse)
=> ∠NIJ ≅ ∠KLM (Acute Angle)
......................................
Answer:
Towards the left
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35
Answer:
7x = -35
Step-by-step explanation:
11x -3y = -17
-4x + 3y = -18
Add the two equations together
11x -3y = -17
-4x + 3y = -18
--------------------------
7x + 0y = -35
7x = -35
Answer:
7x=-35
Step-by-step explanation:
Which value of x makes this equation true? 41 + x = 73 Math item stem image CLEAR CHECK 9 32 73 114
Answer:
32
Step-by-step explanation:
41+x=73
x=73-41
x=32
If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False
Answer:
[tex]\boxed{\mathrm{True}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2+3[/tex]
Put x = x -1
[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]
So, it is true.
Answer:
True
Step-by-step explanation:
When a figure appears to have depth as you look at it, it is called _____________.
Answer:
Step-by-step explanation:
Three-dimensional, or perspective view
The figure appears to have depth as you look at it, it is called Perception of Depth.
What is depth perception?Depth perception is the way in which some animals, such as humans, can tell if a object is close or far away from them.
Depth perception is the ability that humans have to perceive depth. With depth perception animals are able to see something in three dimensions. The configuration of the eyes allows animals to see depth.
Having two eyes that is having binocular vision gives animals an accurate sense of depth.
Animals have evolved in such a way that gives us depth perception. In order for animals to survive in a three dimensional world depth perception is vital.
Learn more about depth perception, click;
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Which linear inequality is represented by the graph?
Answer:
y ≤ (1/2)x + 2
Step-by-step explanation:
Find the equation of the solid line. It is immediately evident that the y-intercept is (0, 2). The line also passes through (-4, 0). Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2. Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.
Thus the equation of the line is y ≤ (1/2)x + 2.
describe the y-intercept in terms of knots and rope length
Answer:
what is the y-intercept sorry i can't help there isn't enough information
Step-by-step explanation:
hi there plz help me
Answer:
for every 3 tomato plants there will be 1 squash plants
Step-by-step explanation:
9 divided by 3 = 3. That will find the tomatoes
then you have to divide all the other plants by 3. Squash will be the only one with 1 plant per 3 tomato plants.
The answer is B
Answer:
B. Squash
Step-by-step explanation:
There are 9 tomato plants and there are 3 squash plants.
9 ÷ 3 = 3
3 tomato plants = 1 squash plants
3 × 3 = 1 × 3
9 = 3
9 tomato plants = 3 squash plants
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. y=-x^2+72x-458 We need to sell each widget at $ ___ in order to make a maximum profit of $ ____
Answer:
x = $36 , y = $ 838
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
[tex]y = -x^2 + 72x -458[/tex]
We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).
From the properties of a parabola equation of the form:
[tex]y = ax^2 + bx + c[/tex]
The vertex ( turning point ) or maximum/minimum point is given as:
[tex]x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36[/tex]
The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:
[tex]y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838[/tex]
The maximum profit would be y = $838
What is the length of AB, given that figure ABCD is a rhombus?
A. 12
B. 4
C. 16
D. 8
Answer:
c
Step-by-step explanation:
Given a line segment that contains the points A,B,& C in order, if AB = x + 12, and Bo2.4, and AC = 26, find x.
Answer:
x=11.6
Step-by-step explanation:
Fill in the table using this function rule.
y=-6x-1
Answer:
5, -1, -7, -31
Step-by-step explanation:
When you plug in x digits you get these numbers.
By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.
What is a linear function?"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"
For the given situation,
The function is y=-6x-1.
Substitute the different values of x in function y, to obtain the value of y.
For x = -1,
[tex]y=-6(-1)-1[/tex]
⇒ [tex]y=5[/tex]
For x = 0,
[tex]y=-6(0)-1[/tex]
⇒ [tex]y=-1[/tex]
For x = 1,
[tex]y=-6(1)-1[/tex]
⇒ [tex]y=-7[/tex]
For x = 5,
[tex]y=-6(5)-1[/tex]⇒ [tex]y=-31[/tex]
The table below shows the values of x and the function y.
Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.
Learn more about the linear functions here
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Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
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