Answer:
Yes and 60 mi/h
Step-by-step explanation:
The slope of a distance-time graph represents the spped of an object. since the slope has been uniform, the body was travelling with a constant speed that is 120/2=60 mi/h
Find the value of z such that 0.04 of the area lies to the left of z. Round your answer to two decimal places.
Answer: The value of z is -1.75.
Step-by-step explanation:
Given: P(Z<z)=0.04
To find the value of z such that 0.04 of the area lies to the left of z.
We will use z-score table to get the value of z here.
IN z-score table, we have
For P(Z<-1.7507)=0.04
Hence, the value of z is -1.7507.
Its approximate value is -1.75
So the final answer is z=-1.75.
if x=(a+4 and y=(a-4),show that xy=a square -16
(a+4) (a-4)
according to formula,
x square - y square : (x+y) (x-y)
(a+4) (a-4)
xy : a square - 4
Solve for x.
4(x + 3) = x +42
x = [?]
Answer: x=10
Step-by-step explanation:
[tex]4(x+3)=x+42\\4x+12=x+42\\4x-x=42-12\\3x=30\\x=10[/tex]
Consider functions p and q.
On which interval are both functions increasing?
(See Below)
Answer:
(-2, 3)
Step-by-step explanation:
Function given in the graph 'p' is increasing from x = -2 to x = ∞.
Another function 'q' represented by the equation is,
q(x) = -|x - 3| + 4
By using graphing utility, graph of the function will be as shown in the attachment.
Graph of the function 'q' will be increasing from x = -∞ to x = 3
Therefore, common domain in which both the function are increasing is (-2, 3)
Answer:
(-2, 3)
Step-by-step explanation:
PLATOO
Omggg guys please help me find those two boxes
Answer:
Both boxes are -20.25
Step-by-step explanation:
The y-value for the vertex is when you plug in the x-value of the vertex in. The vertex is at (2.5, -20.25). SInce the vertex is the lowest or highest point on a parabola, the range is y>=-20.25.
please help me with this problem !
Answer:
a you cant add if they are not the same denominator
Answer:
Finding the least common denominator[tex]Answer: A[/tex]
------------------------
Hope it helps...
Have a great day!!
Identify the dependent variable: the time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls the distance travelled while walking and the time taken the cost of an end of year grade 9 party and the number of people attending
Answer:
The time it takes to make rag dolls for a mission in Africa.
The time taken.
The cost of an end year party.
Step-by-step explanation:
The dependent variable refers to the variable which is predicted or measured in an experiment , the value of the dependent variable relies on the variation in the independent or predictor variable.
The time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls ;
DEPENDENT VARIABLE = The time it takes to make rag dolls for a mission in AFRICA. This is because time taken will depend on the number of people working.
The distance travelled while walking and the time taken ;
DEPENDENT VARIABLE = THE time taken
The time taken will depend on distance traveled.
The cost of an end of year grade 9 party and the number of people attending ;
DEPENDENT VARIABLE = The cost of an end year party.
Cost of partybwill depend on the number of people attending.
PLEASE HELP!! i dont understand it
Answer:
a. y^ -1 = e^x +2
Step-by-step explanation:
y = ln (x-2)
Exchange x and y
x = ln (y-2)
Solve for y
Raise each side with a base of e
e^ x = e^(ln(y-2)
e^x = y-2
Add 2 to each side
e^x +2 =y
1. In the figure below, PU = 12, VT = 5, and VQ = 6. Which of the following is FALSE?
Answer:
for 1 its a and for 2 its c...
The places X and Y are 76km apart on a highway one car starts from Y and other from X at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of two cars?
Answer:
Fast car = 45.6
Slower car = 30.4
Step-by-step explanation:
Let the speed of the first car = x
Let the speed of the second car = y
Travelling towards each other.
x *1 + y*1 = 76 miles
x*5 - y*5 = 76 miles. This is kind of tricky. You have to understand that the first car that is 76 miles from the second car and makes up that 76 in 5 hours. The distance they both travel is subtracted out.
Divide by 5
x - y = 76/5
x - y = 15.2 The speeds differ by 15.2
x + y = 76
x - y = 15.2
2x = 91.2
x = 45.6
y = 76 - 45.6 = 30.4
When the two vehicles speeds are multiplied by 5, the difference is 76 km
Please find attached herewith the solution of your question.
If you have any query, feel free to ask.
can i gets help with this 2x^2 – 9x + 2 = –1
Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages now.
Answer: 45 and 25
Step-by-step explanation:
Given
Five years ago victor was twice as old as his daughter
Suppose the current age of victor and his daughter are x and y
For five years ago
[tex]\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)[/tex]
In 10 years sum of their ages is 90
[tex]\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)[/tex]
On solving (i) and (ii) we get
[tex]\Rightarrow x=25,y=45[/tex]
So, the current age of victor is 45 and his daughter is 25
Answer:
45 , 25
Step-by-step explanation:
2x times -y or (2x)(-y)
Answer:
(2x)(-y)
Step-by-step explanation:
Both are technically correct, but (2x)(-y) is more professional. You can also say 2x * -y.
Hope this helps!
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year?
Answer:
The correct answer: 0.05404
Step-by-step explanation:
Given:
Binomial distribution = x
n = 10
and p = 0.09
solution:
P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10
So the probability is calculated by the Formula:
P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)
putting the given values in the formula
= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))
= 0.0540400
Thus, the correct answer: 0.05404
help me plsssssssssssss
Answer:
bro the co ordinates are in the picture itself
Answer:
A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)
Step-by-step explanation:
O(-6,-6)
A( -5 , -4) = A( -6+1 , -6 + 2)
A'(-6+3 ,-6+6) = A'(-3,0)
B(-4,-4) = B(-6+2 , -6+2)
B'(-6+6,-6+6)= B'(0,0)
C(-3,-2) = C(-6+3, -6+4)
C'(-6+9 , -6+12) = C'(3,6)
D(-5 , -2) = D(-6+1 , -6 +4)
D'(-6+3, -6+12)=D'(-3,6)
ugh ,, im stuck again :( someone please explain this !!!
Answer:
63cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the two triangles
Area of the rectangle = 6(3+14)
Area of the rectangle = 6 * 17
Area of the rectangle = 102cm²
Area of the smaller triangle = 1/2 * 3 * 6
Area of the smaller triangle = 18/2 = 9cm²
Area of the larger triangle = 1/2 * 6 * (17-7)
Area of the larger triangle = 1/2 * 6 * 10
Area of the larger triangle = 60/2 = 30cm²
Area of the shaded part = 102 - (9+30)
Area of the shaded part = 102 - 39
Area of the shaded part = 63cm²
Help I don’t understand this
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.
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]
!!!!!!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
CAN SOMEONE HELP ME PLEASE
Answer:
.54 (54%)
Step-by-step explanation:
[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
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
Find the area of this circle please and thank you..
Answer:
452.39
Step-by-step explanation:
Hope this is right
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:
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.
.
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.
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
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.