Step-by-step explanation:
[tex] {x}^{2} + x = 0 \\ x(x + 1) = 0\\ x = 0 \\ x = - 1[/tex]
is it what ur looking for?
.
A football is punted from a height of 2.75 ft above the ground, with an initial velocity of 48 feet per
second. The motion of the football can be modeled by the equation h = -16t2 + 48t +2.75, where
h represents the height of the football, in feet, and t represents the timelin seconds.
If the football is caught 5.25 ft above the ground, approximately how long did it remain in the air?
Roundyour answer to the nearest hundredth of a second.
Answer:
Step-by-step explanation:
The position function for this is given as
[tex]h(t)=-16t^2+48t+2.75[/tex] where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.
[tex]5.25=-16t^2+48t+2.75[/tex] and set this equal to 0:
[tex]-16t^2+48t-2.5=0[/tex] and factor.
When we factor we get
t = .05 and t = 2.95 in seconds.
That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.
please help me solve this answer, it is really crucial
Answer:
Parabolas have an axis of symmetry. If we assume that x=2 is that axis of symmetry, them that must mean the x values -2 and 6 should have the same y values, which they don't, thus an equation is not possible.
find the sum (12p+9) + (4p-3) please help me
[tex]\sqrt{2} \frac{7}{8}[/tex]
Answer:
[tex]\sqrt{2\frac{7}{8} } =\\\sqrt{\frac{25}{8} } =\\\sqrt{\frac{25*2}{16} } =[/tex]
±5√2/4
Help I don’t understand this
Which points have an x value less than zero? (last answer choice says (D,J,E)
Answer:
CDJ
Step-by-step explanation:
Answer:
Choice C. C,D,J
Step-by-step explanation:
When it asks for x-values less than zero (x<0), a point that lies on the y-axis is not included.Every other option has a point lying on the y-axis or greater than zero.Find the area of this circle please and thank you..
Answer:
452.39
Step-by-step explanation:
Hope this is right
Bart is going to paint his bedroom. His uncle told him that a gallon of paint would cover a surface of approximately 40 square feet. He knew that the ceiling in his room was 9 feet high and the paint was $22 a gallon. He also had to buy brushes, a drop cloth, and a ladder. How many gallons of paint should he buy to paint the walls in his bedroom
Answer:
The measurement for the length of the walls.
Step-by-step explanation:
Given
[tex]Cost = \$22[/tex] per gallon
[tex]Height = 9ft[/tex]
[tex]1\ gallon = 40ft^2[/tex]
See comment for complete question
Required
The additional information needed to solve the question
First, we need to calculate the area of the walls of the bedroom.
The height of the ceilings represents the length/width of the walls; so, we need the width of each side of the bedroom.
Since the width is not given, then we can conclude that the additional information needed is the length/width of the walls.
CAN SOMEONE HELP ME PLEASE
Answer:
.54 (54%)
Step-by-step explanation:
3 9. There are 180 girls in a mixed school. the ratio of girls to boys is 4:3 find the otal number of students in the school (a) 25 students (b) 315 students (c) 360 students 405 students of the binary numbers:
The ratio 4:3 means for every 4 girls there are 3 boys.
Divide total girls by 4, multiply that by 3 to get total boys:
180/4 = 45 x 3 = 135
There are 135 boys
For total students add boys and girls:
180 + 135 = 315 total students
Which of the following statements must be true based on the diagram below?
(Diagram is not to scale.)
Answer:
i dont know
Step-by-step explanation:
i dont kow
Una empresa textil dedicada a la confección y venta de pantis Glamour realiza la siguiente promoción de sus productos: para pedidos de hasta una decena, el par de pantis Glamour de cualquier tamaño lo vende a S/. 5. Pero si se hacen pedidos mayores a una decena de pares, cada par de media tiene un valor de S/. 3.
Respuesta:
S / 25
S / 45
S / 75
Explicación paso a paso:
Dado :
Para pedidos de hasta una docena; par de pantimedias Glamour Costo S / 5
Para pedidos de más de una docena; par de pantimedias Glamour Costo S / 3
Función de costo:
Para x ≤ 12
Costo, C = 5x
Para x> 12
Costo, C = 3x
Costo de 5 pedidos:
x = 5
Costo, C = 5 (5) = S / 25
Costo de 15 pedidos:
x = 15
Costo, C = 3 (15) = S / 45
Costo de 25 pedidos:
x = 25
Costo, C = 3 (25) = S / 75
Instructions: Point T is the centroid. Find TE if XE= 21.
Answer:
TE = 7
Step-by-step explanation:
The centroid divides a median in this ratios 1/3 and 2/3. In particular
XT = 2/3 XE
XT = 2/3 * 21
XT = 14
TE = 7
Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is not shown.
On a coordinate plane, triangle M N P has points (negative 4, 6), (2, 6), and (negative 1, 1).
What are the coordinates of the endpoints of segment M'N'?
M'(-6, 9) and N'(4, 9)
M'(-6, 9) and N'(3, 9)
M'(-2, 3) and N'(7, 9)
M'(-2, 3) and N'(1, 3)
Given:
The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).
The rule of dilation is:
[tex](x,y)\to (1.5x,1.5y)[/tex]
The image of triangle MNP after dilation is M'N'P'.
To find:
The coordinates of the endpoints of segment M'N'.
Solution:
The end points of MN are M(-4, 6) and N(2, 6).
The rule of dilation is:
[tex](x,y)\to (1.5x,1.5y)[/tex]
Using this rule, we get
[tex]M(-4,6)\to M'(1.5(-4),1.5(6))[/tex]
[tex]M(-4,6)\to M'(-6,9)[/tex]
And,
[tex]N(2,6)\to N'(1.5(2),1.5(6))[/tex]
[tex]N(2,6)\to N'(3,9)[/tex]
The endpoints of M'N' are M'(-6, 9) and N'(3, 9).
Therefore, the correct option is B.
Answer:
B on edge
Step-by-step explanation:
Given an aritmetic progression 2,6,10,14.. find the smallest value of n such that the sum of the first n terms is greater than 200.
Answer:
Without thinking too hard, by adding the progression of number until we reach >200 and counting what n value we have we can solve this question.
The rule of this progression is to + 4 every time.
2 + 6 + 10 + 14 + 18 + 22 + 26 + 30 + 34 + 38 + 42
This will give us 242, which is greater than 200. There are 11 numbers here, so the n value is 11.
Answer:
Hello,
Step-by-step explanation:
Using n terms, the arithmetic sequence will be:
2,6,10,14,...,?
=0*4+2,1*4+2,2*4+2,3*4+2,...,(n-1)*4+2
s=(0*4+2)+(1*4+2)+(2*4+2)+(3*4+2)+...+(n-1)*4+2 >200
(2+2+2+...+2)+4(0+1+2+...+(n-1)) > 200
2*n+4*(0+(n-1))*n/2 >200
2n+2(n²-n) > 200
2n² >200
n² > 100
n >10
the smallest value of n is 11.
11 th term is (11-1)*4+2=42
sequence={2,6,10,14,...,42} which sum is 2*11²=242
Multiply: -14(y+11)
Answer:
-14y -154
Step-by-step explanation:
Multiply -14 and y = -14y
Multiply -14 and 11 = -154
Answer:
[tex]-14\left(y+11\right)[/tex]
[tex]=-14y+\left(-14\right)\cdot \:11[/tex]
[tex]=-14y-14\cdot \:1[/tex]
[tex]=-14y-154[/tex]
OAmalOHopeO
pls help me both questions
with explanation sum
9514 1404 393
Answer:
3) x = 55, y = 123, z = 123
4) x = 276°
Step-by-step explanation:
3)Angles P and Q are alternate interior angles, so are congruent.
P = Q
3x -42° = 2x +13°
x = 55° . . . . . . . . . . . add 42°-2x
Then Q = 2x +13 = 2(55°) +13° = 123°.
Angles Y, P, Q, and Z are all congruent, so all have the same measure.
Y = Z = 123°
__
4)If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.
Large angle POQ is then 360° -84° = 276°
!!!!!!URGENT!!!!!
Two similar rectangles have a proportional coefficient of 1:2, and the perimeter of the smallest one is 80 m, find the
perimeter of the small rectangle
Answer:
160m
Step-by-step explanation:
Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.
Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.
Therefore, for our case, we multiply the smaller rectangle by 2.
Hence;
(80 × 2)m
= 160 m
NB:
The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.
the polygons in each pair are similar. Find the missing side length
Answer:
Since they are similar, 45/27=30/18=x/24. x=40
what is the correct answer for this question ?
Answer:
[tex]b)\ 61m[/tex]
Step-by-step explanation:
The given triangle is a right triangle. This means that one can use right-angle trigonometry to solve the triangle. The right angle trigonometric ratios are a set of ratios that relate the sides and angles of a triangle. These ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind, the names (opposite) and (adjacent) change depending on the angle of reference. However, the side (hypotenuse) refers to the side opposite the right angle, this side doesn't change depending on the reference angle.
In this problem, one is given the measure of an angle, and the measure of the hypotenuse, the problem asks one to solve for the side opposite the given angle measure. It would make the most logical sense to use the ratio of sine (sin) to do this.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(56)=\frac{h}{73}[/tex]
Inverse operations,
[tex]sin(56)=\frac{h}{73}[/tex]
[tex]73(sin(56))=h[/tex]
[tex]60.519\approx h[/tex]
Enda has job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The other company offers a starting salary of $55,000 with a raise of $5,000 each year. In how many years would Brenda's salary be the same with both companies? What will the salary be?
Answer:
8 years
Salary: $95000
Step-by-step explanation:
Write an equation to model the salary and its raise per year. Add the base salary to the raise per year salary times (x). Where the parameter (x) represents the number of years spent in the company.
Company (1):
75000 + 2500x
Company (2):
55000 + 5000(x)
One is asked at which year will the salaries be the same. Equate the two expressions and solve for the variable (x):
75000 + 2500x = 55000 + 5000(x)
Inverse operations:
75000 + 2500x = 55000 + 5000x
20000 + 2500x = 5000x
20000 = 2500x
8 = x
Substitute (x) into any one of the experssions and simplify to solve the epxression,
55000 + 5000(x)
x = 8
= 55000 + 5000(8)
= 55000 + 40000
= 95000
please help me with this on the picture
Answer:
-3, 7, 17, 27, 37
Step-by-step explanation:
Essentially, you just put -3 for the first box, and add 10. Then you take that new number and put it in the next box.
An ice cream shop uses the following ingredients to make 1 sundae.
Ingredient Amount
Ice cream 2 scoops
Sprinkles 4 spoonful's
Whipped cream 2 tablespoons
How many sundaes did the shop make if they used 32 spoonfuls of sprinkles?
Pleaseee help :( Its about ratios :( :0
Answer:
8 sundaes
4:32
.......
.......
...
Step-by-step explanation:
To make 1 sundae, the total number of spoons use of sprinkles=4. Let the number of sundaes made in 32 spoonfuls of sprinkles be x. Also the number of sprinkles and the number of sundaes are directly proportional. Therefore, Hence, if 32 spoonfuls of sprinkles is used, then the ice-cream shop can make 8 sundaes.
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression
that can be used to determine the final cost of the DVD. HELP URGENTLY PLEASE
Answer:
If u add the number it will show u te answer which is 7
Step-by-step explanation:
1.Round off 378811 to the nearest hundreds,thousands and ten thousand
2.Round off 267988 to the nearest hundreds,thousands and ten thousand
3.Round off 250260 to the nearest hundreds,thousands and ten thousand
4.Round 196596 to the nearest hundreds,thousands and ten thousand
5.Round off 193171 to the nearest hundreds,thousands and ten thousand
Given:
The numbers are 378811, 267988, 250260, 196596, 193171.
To find:
The approximate value of the given numbers to the nearest hundreds, thousands and ten thousand.
Solution:
The required values shown in the below table:
Numbers Nearest hundreds Nearest thousands Nearest ten thousand
378811 378800 379000 380000
267988 268000 268000 270000
250260 250300 250000 250000
196596 196600 197000 200000
193171 193200 193000 190000
help me !!!!!!!!!! plsssssssss
Step-by-step explanation:
[tex] 2{x}^{2} + 1[/tex]
What is the slope of a line with points (5, 1) and (8,3)?
A. m= 3/2
B. m=2/3
C. m=-3/2
D.m=-2/3
Answer:
2/3
Step-by-step explanation:
If we know two points we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 3 -1)/(8 - 5)
= 2/3
Add-ons Helplast edit was seconds ago
10 BI VA
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E A monthly service fee to download ebooks is $4.96 plus $3.99 per book downloaded White an
equation that represents the total cost, c, in a month when books are downloaded Explain how
yos gation represents the greem
Graph
Create a graph for
select the right one
Answer:
W
Step-by-step explanation:
9^(-1/2)*9^(3/2)=(1/3)*(3^3)=3^2=9
In order for the parallelogram to
be a square, x = [?].
4x + 17
12x - 23
Answer:
x = 5
Step-by-step explanation:
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
8 8
5 = x
The value of x should be 5.
What is parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
As, to from the square using the dimension of parallelogram the value of x should be 5
as the side of square is equal.
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
5 = x
Learn more about parallelogram here:
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