Step-by-step explanation: B
A toy rocket is launched from a platform 42 feet above the ground at a speed of 91 feet per second. The height of the rocket in feet is given by the polynomial −16t^2 + 91t + 42, where t is the time in seconds. How high will the rocket be after 3 seconds? HELP ASAP!!
A. 122 feetB. 218 feetC. 93 feetD. 2570 feet
The height of the rocket after 3 seconds is 171 feet.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The height = -16t² + 91t + 42
After 3 sec means, t = 3, so we substitute t with 3
In order to find the height of the rocket after t seconds we plugin t = 3 in the function.
height H = -16t² + 91t + 42
H = -16(3)² + 91(3) + 42
= -144 + 273 + 42
= 171 feet
Thus, the height of the rocket after 3 seconds = 171 feet.
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the distance light travels in one second (one light-second) is about 1.86 x 10^5 miles. Saturn is about 475 light-seconds from the sun. About how many miles from the sun is saturn?
Answer:
Step-by-step explanation:
Given that the distance light travels in one light second about
[tex]1.86(10^5) miles[/tex]
Distance of Saturn from Sun = Time taken for travel x speed
Here speed = [tex]1.86 x 10^5[/tex]
Time taken = 475 light seconds
Hence distance = [tex]1.86 x 10^5x475\\=883.5x10^5\\=8.835x10^7[/tex] miles
Write an algebraic expression for the verbal description. the sum of two consecutive natural numbers, the first of which is n
When you add two rational numbers, each number can be written as a?
When you add two rational numbers, each number can be written as a
✔ fraction .
Step-by-step explanation:
When you add two rational numbers, each number can be written as a fraction.
What is a rational number?A Rational number can be defined as any number which can be represented in the form of p/q where q ≠ 0. It can be made by dividing an integer by an integer.
For the given situation,
The sum of two rational numbers is rational.
The closure property of addition of rational number states that if we add two rational number, then the sum of these two rational number will also be a rational number.
Adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication.
Hence we can conclude that when you add two rational numbers, each number can be written as a fraction.
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Let f(x)=x2+14x+48. What are the zeros of the function? Enter your answers in the boxes.
Answer:x= -6 and -8
Step-by-step explanation: I took the test
I need more math help, the!
Cement truck A can pour 200 cubic ft of concrete in 20 minutes. It only takes truck B 15 minutes to do the same job. If they both work together,how long will it take them to pour the 200 cubic feet?
I need help setting up the problem and solving it, thank you!
help me, please............
Nicholas used a $10 bill to pay for a granola bar that only costs p dollars. How much change did Nicholas receive from the cashier?
If p(q-r)x^2 +q(r-p)x + r(p-q) has equal roots,then, 2/q=??
a)p+ 1/r c)p+r
b) 1/p +r d) 1/p + 1/r
Use inductive reasoning to find the next term in the sequence 1, 2, 4, 7, 11, 16… what is the next term?
a. 18
b. 19
c. 22
d. 26
In the diagram a || b. Use the diagram to answer the question. (Diagram not to scale.) Name the interior angle to 7
A. 1
B. 2
C. 6
D. 4
Carolyn has cut a piece of ribbon 29 centimeters long from a roll. which instrument would she use to measure the length of the piece of ribbon?
Final answer:
Carolyn would use a ruler to measure the length of the piece of ribbon.
Explanation:
To measure the length of a piece of ribbon, Carolyn would use a ruler as the instrument. A ruler is a tool used for measuring small items and distances. It is commonly used for measuring in inches, which is the appropriate unit for short lengths like a piece of ribbon. Carolyn can align one end of the ribbon with the zero mark on the ruler and then extend the ribbon along the ruler to measure its length accurately.
The ruler's precision in measuring small distances, typically in inches, allows Carolyn to obtain a detailed and accurate measurement for the ribbon's length. Aligning the ribbon's end with the ruler's zero mark ensures a standardized starting point for consistency in measurements. This straightforward method showcases the practicality and ease with which rulers facilitate precise length measurements, making them essential tools for tasks requiring accuracy in determining dimensions.
A photographer enlarges a photo by using a scale of 5. The length of the original photo is 7 in. What is the length of the enlarged photo? Enter your answer in the box.
Answer:
35
Step-by-step explanation:
35
Kohl's sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did Kohl's sell?
a. 40
b. 12
c. 20
d. 60
Find the zeros K(x) = -x²+ 2x + 15 EXPLAIN EVERY STEP!
PLZ HELP!!!! 43 POINTS!!!!! Koji is installing a rectangular window in an office building. The window is 8 2/3 ft wide and 5 3/4 ft high. The formula for the area of a rectangle is A=bh. What is the area of the window?
Solve the following equation. Then place the correct number in the box provided. 9(x - 6) = 8(x + 6)
x=
Need help ASAP WILL GIVE TEN POINTS FIVE QUESTIONS-
1
What is the solution to the inequality?
6x−5>−29
A x>−4
B x<4
C x>4
D x<−4
2
What is the solution to the inequality?
−4x−8>−20
A x>3
B x>−3
C x<−3
D x<3
3Solve.
−4.2y+2.1>−2.52
Drag and drop a number or symbol into each box to show the solution.
< > 0.1 1.1 4.62 −4.62
Y.(number) (number)
4 Solve.
−12x+13>35
Drag and drop a number or symbol into each box to show the solution.
< > −8/15 −4/15 4/15 8/15
x (number) (number)
What is the solution set?
−2.8x+5.6<8.4
Enter your answer in the box.
x (answer) plz help and ty
Answer:
Part 1) Option A [tex]x>-4[/tex]
Part 2) Option D [tex]x<3[/tex]
Part 3) [tex]y < 1.1[/tex]
Part 4) [tex]x<-8/15[/tex]
Part 5) [tex]x>-1[/tex]
Step-by-step explanation:
Part 1) we have
[tex]6x-5>-29[/tex]
[tex]6x>-29+5[/tex]
[tex]x>-24/6[/tex]
[tex]x>-4[/tex]
Part 2) we have
[tex]-4x-8>-20[/tex]
[tex]-4x>-20+8[/tex]
[tex]-4x>-12[/tex] -----> Multiply by [tex]-1[/tex] both sides
[tex]4x<12[/tex]
[tex]x<12/4[/tex]
[tex]x<3[/tex]
Part 3) we have
[tex]-4.2y+2.1 >-2.52[/tex]
[tex]-4.2y >-2.52-2.1[/tex]
[tex]-4.2y >-4.62[/tex] ----> Multiply by [tex]-1[/tex] both sides
[tex]4.2y < 4.62[/tex]
[tex]y < 1.1[/tex]
Part 4) we have
[tex]-(1/2)x+(1/3)>3/5[/tex]
[tex]-1/2x>(3/5)-(1/3)[/tex]
[tex]-1/2x>4/15[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]1/2x<-4/15[/tex]
[tex]x<-8/15[/tex]
Part 5) we have
[tex]-2.8x+5.6< 8.4[/tex]
[tex]-2.8x< 8.4-5.6[/tex]
[tex]-2.8x< 2.8[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]2.8x>-2.8[/tex]
[tex]x>-2.8/2.8[/tex]
[tex]x>-1[/tex]
WILL GIVE A BRAINLEST!!!!!!!!!!
Which is true about the statements
The graph of f(x) has a vertex of (–4, 6).
The graph of f(x) is horizontally stretched.
The graph of f(x) opens upward.
The graph of f(x) has a domain of x <=–6.
Answer: B) The graph of f(x) is horizontally stretched.
Step-by-step explanation: We are given an absolute function [tex]f(x)=-\frac{2}{3} |x+4|-6[/tex].
The standard equation of an absolute function is [tex]f(x)= a|x-h|+k[/tex].
Where (h,k) is the vertex of the absolute function.
If we compare [tex]f(x)=-\frac{2}{3} |x+4|-6[/tex] and [tex]f(x)= a|x-h|+k[/tex], we can see a=[tex]-\frac{2}{3}[/tex], h= -4 and h= -6.
Therefore, vertex of the given function is (-4,-6).Because we have value of a is a negative number so it would open down.An absolute function always have domain " All real numbers".Therefore, first, third and fourth options are incorrect.
So, the second option would only be applicable.
B) The graph of f(x) is horizontally stretched.On a map, 1.5 centimeters represents a distance of 45 kilometers. If two points on the map are 0.8 centimeters apart, what is the actual distance between the two points?
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Enter your answer in the box.
°
What is the maximum number of distinct lines that can be drawn through 10 distinct points if no 3 of the points are collinear?
NEED HELP PLEASE :) ONLY 100% ANSWERS
1) An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?
2) A room in a bank is shaped like the rectangular prism shown below. The room has a security system that is triggered by two laser beams which stretch from Point A to D and Point B to C. How many total feet of laser beams are there?
*A 3-D rectangle 15 ft. length the back rectangle 12 ft. width the side 35 ft. width front*
Answer:
1) the slant height of the pyramid is 50 meters.
2) there are (approximately) a total of 80 ft of laser beams.
Step-by-step explanation:
1) The height of the pyramid (30 m) and half of the length of its base (40 m) form a rectangular triangle, where the slant height is its hypotenuse (H). From Pythagorean theorem:
H^2 = 30^2 + 40^2
H = √2500
H = 50 m
2) In the figure attached the rectangular prism is shown (point E was added).
The length of the laser beams is the addition of the segments AD to segment CB (which are equal).
We can make a rectangular triangle between points ECD. From Pythagorean theorem:
ED^2 = EC^2 + CD^2
ED = √(12^2 + 35^2)
ED = 37 ft
We can make a rectangular triangle between points AED. From Pythagorean theorem:
AD^2 = EA^2 + ED^2
AD = √(15^2 + 37^2)
AD ≈ 40
Then, there are (approximately) a total of 80 ft of laser beams.
equation that passes through the points (-1,0)(0,2)
If two figures are congruent, their perimeters are equal true or false?
y+2=−2(x−3)
Slope from equation
Problem
What is the slope of the line?
Please find below the given equation-
y + 2 = -2 ( x - 3 )
y + 2 = -2 x - 2(- 3)
y + 2 = -2 x + 6
y = -2 x + 6 - 2
y = -2 x + 4
Let's compare this equation with the form y = mx +c
By comparing we get,
m = -2 and c = 4
We know, in y = mx + c , slope of the line is given by m
Here m = -2, as discussed above
Therefore the slope of the given line is -2
Hope it helps ..!!
Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the initial period?
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What is the solution of x+4/2x-1<0 ?
To solve the inequality x + 4/2x - 1 < 0, first find the critical value x = 1/2. Then, test the intervals to determine the solution set x < 1/2.
To find the solution of the inequality x + 4/2x - 1 < 0, we can follow these steps:
First, find the critical values by setting the denominator, 2x - 1, equal to zero and solve for x. The critical value is x = 1/2.
Next, test the intervals created by the critical value in the original inequality x + 4/2x - 1 < 0. This helps determine the solution set which is x < 1/2.
Use the diagram to complete the statement. Given JKL, sin(38) equals—
(Diagram is a right triangle. Angle K is 52 degrees and angle L is 38)
cos(38)
cos(52)
tan(38)
tan(52)
Answer:
Answer is b
Step-by-step explanation:
A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33
Answer:
$11
Step-by-step explanation:
20-9=11