A total of 250 people were surveyed about whether or not each person carries a cell phone. The results are shown below in the relative frequency table.
Answer:it is 180
Step-by-step explanation:
Gill had less money than Roddy had
After Roddy spent 40% of his money,
he had $14 less than Gill. How much
money did Gill initially have?
Answer:
50
Step-by-step explanation:
Answer: the answer is 50
Step-by-step explanation:
Write a unit rate for the situation. Round to the nearest hundredth if necessary. 210 heartbeats in 3 minutes
Answer:
70 heartbeats per second
Step-by-step explanation:
❓❗❓❗PLEASE HELP ASAP❓❗❓❗
(3z^3 – 4z + 7z^2) + (8z^2 - 6z - 5)
Simplify (8x^3 - 5x+1)-(x^2+4). Show your work
Simplify the product 4x(5x^2+ 3x +7).
Simplify and write in standard form
Help!!! Find the length of X
Answer:
x=6.5
Hope my answer is helpful to you
) Find the distance between the boll
-owing pairs of points
i) (2, 3) and (41)
[I took this from the internet, but hope it helps!]
If a car decreases its speed from 80 km/h to 45 km/h in 14 seconds, what is its rate of acceleration?
Answer:
-2.5 km
Step-by-step explanation:
80 - 45= 35
35 / 14 sec. = 2.5
So if your decreasing it would turn that 2.5 into a negative.
Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two cookies at the same shop for $4.95. All the donuts have the same price and all the cookies have the same price. What is the cost in dollars of each donut?
Given:
Cost of two donuts and three cookies = $3.30
Cost of five donuts and two cookies = $4.95
To find:
The cost of each donut.
Solution:
Let x be the cost of each donut and y be the cost of each cookie.
Cost of two donuts and three cookies = $3.30
[tex]2x+3y=3.30[/tex] ...(i)
Cost of five donuts and two cookies = $4.95
[tex]5x+2y=4.95[/tex] ...(ii)
Multiply equation (i) by 2.
[tex]4x+6y=6.60[/tex] ...(iii)
Multiply equation (ii) by 3.
[tex]15x+6y=14.85[/tex] ...(iv)
Subtracting (iii) from (iv), we get
[tex]15x+6y-4x-6y=14.85-6.60[/tex]
[tex]11x=8.25[/tex]
Divide both sides by 11.
[tex]x=\dfrac{8.25}{11}[/tex]
[tex]x=0.75[/tex]
Therefore, the cost of each donut is $0.75.
determine the force of gravitational attractions between the Earth 5.98 x 10^24 kg and a 70kg boy is standing at sea level, a distance og 6.38 x 10^6m Earth's center ( the universal gravitational constant (G) = 6.6726 x 10 ( raise to power) 11 N/m/kg^ 2)
Answer:
6.862035456*10^26 m/s^2
Step-by-step explanation:
We know that:
m=70kg
M=Mass of earth=5.98*10^24kg
R=Distance between object's and earth's center=6.38*10^6m
G=6.6726*10^-11 N/m/kg^2
Thus, we can use the equation [tex]F_g=\frac{GmM}{R^2}\\[/tex]:
[tex]F_g=\frac{(6.6726*10^-11)(70)(5.98*10^{24})}{(6.38*10^{-6})^2}\\\\F_g=6.862035456*10^{26}[/tex]
This means the force of gravitational attractions is 6.862035456*10^26 m/s^2
Samuel and Joyce both bought CDs. Samuel bought 3x CDs and Joyce bought 2x-1 CDs. If each CD had a Regular price of $18 and a discount of $2. What is the expression for the COST of their CDs, combined?
Answer:
2(5x – 1)
Step-by-step explanation:
Calculate The Constant of Proportionality (k) and Write an Equation for the line in the Graph Below:
Answer:
K = ½
Equation: y = ½x
Step-by-step explanation:
✔️Constant of proportionality (k) = y/x
Using a point on the line, (2, 1),
k = ½
✔️Equation of a proportional relationship would be in the form of y = kx
To write an equation, substitute k = ½, into y = kx
Thus:
y = ½x
L Pretest: Unit 3
Question 6 of 20
If f(x) = 4x - 3 and g(x) = x + 4, find (f - g)(x).
CA. 5x - 7
B. 3x-7
C. 5x-1
OD. 7 - 3x
SUBMIT
The solution is : (f + g)(x) = x² + 4x - 4 ⇒ B, is the required function.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
Let us solve the question
∵ f(x) = 4x + 4
∵ g(x) = x² - 6
→ We need to find (f + g)(x) which means f(x) + g(x)
∴ (f + g)(x) = f(x) + g(x)
∵ f(x) + g(x) = (4x + 2) + (x² - 6)
∴ f(x) + g(x) = 4x + 2 + x² - 6
→ Add the like terms
∵ f(x) + g(x) = 4x + x² + (2 - 6)
∴ f(x) + g(x) = 4x + x² + (-4)
→ Remember (+)(-) = (-)
∴ f(x) + g(x) = 4x + x² - 4
→ Arrange the terms from greatest power of x
∴ f(x) + g(x) = x² + 4x - 4
∴ (f + g)(x) = x² + 4x - 4, is the required function.
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Find the height of the following triangles:
Ab =?
Cb=6m
Angle acb = 45 degree
Answer:
AB=6Step-by-step explanation:
according to the question
the equation is
[tex] \tan(45 {}^{o} ) = \frac{x}{6} [/tex]
[tex]1 = \frac{x}{6} [/tex]
[tex]x = 6[/tex]
which statement describes the relationship between -2 and -4?
Point M is on line segment overline LN . Given LN = 11 and LM = 4 , determine the length MN.
Answer:
7
Step-by-step explanation:
I'll give you bransit, if you answer this :]
Answer:
look below
Step-by-step explanation:
I think the answer is for A 12mm because there is a -3 in the spot and you have 15 mm and for B 17mm because you still have that 15mm but this time you have a +2
I think this might be the answer I am kind of good at math but I don't really know this one sorry if I get it wrong
Omar needs to solve the problem 2,406 divided by 6. In what place would he put the first digit of the quotient?
Answer:
The hundreds place
Step-by-step explanation:
If you divide it
it would start out on the 4
Which is the hundreds Place
What is the correct value of x?
A. 13
B. 7
C. 5
D. 18
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 10x + 25 = 8
Answer:
The correct options for the solution values are:
[tex]x=2\sqrt{2}-5[/tex][tex]x=-2\sqrt{2}-5[/tex]Step-by-step explanation:
Given the expression
[tex]x^2+10x+25=8[/tex]
Subtract 25 from both sides
[tex]x^2+10x+25-25=8-25[/tex]
Simplify
[tex]x^2+10x=-17[/tex]
Add 25 or 5² to both sides
[tex]x^2+10x+5^2=8[/tex]
as
[tex]x^2+10x+5^2=\left(x+5\right)^2[/tex]
so the expression becomes
[tex]\left(x+5\right)^2=8[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solve
[tex]x+5=\sqrt{8}[/tex]
Subtract 5 from both sides
[tex]x+5-5=2\sqrt{2}-5[/tex]
[tex]x=2\sqrt{2}-5[/tex]
solve
[tex]x+5=-\sqrt{8}[/tex]
Subtract 5 from both sides
[tex]x+5-5=-2\sqrt{2}-5[/tex]
[tex]x=-2\sqrt{2}-5[/tex]
Therefore, the solution to the equation
[tex]x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5[/tex]
Hence, the correct options for the solution values are:
[tex]x=2\sqrt{2}-5[/tex][tex]x=-2\sqrt{2}-5[/tex]HELP ASAP PLEASE THIS QUESTION IS ABOUT FUNCTIONS SO IF U KNOW HOW TO DO FUNCTIONS PLEASE HELP I HAVE ASKED THIS LIKE MAYBE 4 TIMESSSSS :(
ALSO DONT PUT A RANDOM ANSWER AND TAKE THE POINTS I REALLY NEED HELP
Answer:
Domain: -3<=x<4
Range:-1<=y<-3
(can I get brainliest please)
Answer:
range: [-3,-1) domain: [4,-3); idrk know the second one srry.
Step-by-step explanation:
Which expression has a value of — 7?
0.(-3) +4
O (-10) + 3
0 (-3) +10 fing
O (-4) +3
Answer:
(-10) + 3
Step-by-step explanation:
hopefully it helped
The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all
that apply.
O Both angles are acute.
O The sum of the measures of the two angles is 75°.
O The sum of the measures of the two angles is 155°.
OOne of the angles is a right angle.
O The measure of neither angle is more than 75°.
O The measures of the other angles must be 105° too.
D The measure of one of the other angles equals 75°.
O The measure of one of the other angles must be 45°.
Save and Exit
Submnit
Answer:
both angles are acute
Step-by-step explanation:
if sinA+cosecA=3 find the value of sin2A+cosec2A
Answer:
[tex]\sin 2A + \csc 2A = 2.122[/tex]
Step-by-step explanation:
Let [tex]f(A) = \sin A + \csc A[/tex], we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
[tex]\csc A = \frac{1}{\sin A}[/tex] (1)
[tex]\sin^{2}A +\cos^{2}A = 1[/tex] (2)
Now we perform the operations: [tex]f(A) = 3[/tex]
[tex]\sin A + \csc A = 3[/tex]
[tex]\sin A + \frac{1}{\sin A} = 3[/tex]
[tex]\sin ^{2}A + 1 = 3\cdot \sin A[/tex]
[tex]\sin^{2}A -3\cdot \sin A +1 = 0[/tex] (3)
By the quadratic formula, we find the following solutions:
[tex]\sin A_{1} \approx 2.618[/tex] and [tex]\sin A_{2} \approx 0.382[/tex]
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
[tex]\sin A \approx 0.382[/tex]
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
[tex]A \approx 22.457^{\circ}[/tex]
Then, the values of the cosine associated with that angle is:
[tex]\cos A \approx 0.924[/tex]
Now, we have that [tex]f(A) = \sin 2A +\csc2A[/tex], we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
[tex]\sin 2A = 2\cdot \sin A\cdot \cos A[/tex] (4)
[tex]\csc 2A = \frac{1}{\sin 2A}[/tex] (5)
[tex]f(A) = \sin 2A + \csc 2A[/tex]
[tex]f(A) = \sin 2A + \frac{1}{\sin 2A}[/tex]
[tex]f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}[/tex]
[tex]f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}[/tex]
If we know that [tex]\sin A \approx 0.382[/tex] and [tex]\cos A \approx 0.924[/tex], then the value of the function is:
[tex]f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}[/tex]
[tex]f(A) = 2.122[/tex]
Please help. 100 points + brainliest
IMPORTANT NOTE: the "*" sign in the equations means it is the end point of the square root sign.
Solve the following equations:
1) Solve for x: √12* (√3* - x) = 15
2) Solve for x: √3x - 1* = 7 What is the root? If there is no root, choose none.
3) Solve for x: √3x* + 1 = 7 What is the root? If there is no root, choose none.
4) Solve for x: 3√x* + 1 = 7 What is the root? If there is no root, choose none.
5) Solve for x: √2y - 5* + 4 = 8 What is the root? If there is no root, choose none.
6) Solve for z: √z^2 + 5* - 2 = z What is the root? If there is no root, choose none.
Answer:
1) x = -2.5
2) x = 21 1/3
3) x = 12
4) x = 4
5) y = 40.5
Step-by-step explanation:
Answer:
1) x = -2.5
2) x = 21 1/3
3) x = 12
4) x = 4
5) y = 40.5
Give the person above a brainliest
plzzzz help!!! quick one
The cost of a ticket to an amusement park is $42 per person. For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group. Marcos's ticket cost $30. Write and solve an equation to find the number of people in Marcos's group.
Answer:
Cost of each ticket per person = $42
For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.
Marco's ticket cost $30.
This means he paid 42-30=12 dollars less.
Now when there are 8 members, the cost decreases by $3.
So, $12 will decrease, when there will be members
I hope this helps! Have an awesome day!
Answer:
The answer is there are 32 people in this group
Step-by-step explanation:
here is proof work if you need it:
A political poll showed that 80 percent of those polled said they would vote for proposition P. Of those who said they would vote for proposition P,70 percent actually voted for P,and of those who did not say they would vote for P,20 percent actual voted for P.What percent of those polled voted for P
Answer:
60%
Step-by-step explanation:
Let the total number of people polled to vote be 1000
80% said they would vote for him
That is 800
20% said they would not vote for him
That is 200
Out of the 800, 70% actually voted
That will be ;
70/100 * 80 = 560
Also, 20% of the 200 that said they would not vote actually voted
That will be ;
20/100 * 200 = 40
Total is thus;
569 + 40 = 600
% is 600/1000 = 60%
What is the value of Line GJ?
a
10
b
30
c
1
50
Answer:
10
Step-by-step explanation:
Joan kicked a soccer ball. The height of the ball, h, in metres, can be modelled by h =-1.2x^2 + 6x , where x is the horizontal distance, in metres, from where she kicked the ball.
Answer:
7.5m
Step-by-step explanation:
Since we are not asked what to look for we can find the maximum height reached by the ball
The ball reaches its maximum height when dh/dx = 0
dh/dx = -2.4x + 6
0 = -2.4x + 6
2.4x = 6
x = 6/2.4
x = 2.5
Get the max height
Recall:
h =-1.2x^2 + 6x ,
h(2.5) = -1.2(2.5)^2 + 6(2.5)
h(2.5) = -1.2(6.25)+15
h(2.5) = -7.5 + 15
h = 7.5
Hence the maximum height reached by the ball is 7.5m
What is the average time it took for the tablet to dissolve in room temperature water?
ANSWER FOR 30 POINTS!!!
Answer:
It may take 20 to 30 seconds.
Step-by-step explanation: Hope this helped
brainliest?
The average time it took for a tablet to dissolve in water that was 22 °C in temperature was 28.3 seconds.
What is a drug?Any substance that, when consumed, alters the physiology or psychology of an organism qualifies as a drug.
What are the factors that affect the solubility of drug?
The properties of the API (active pharmaceutical ingredient) such as
solubility, wettability, particle size, surface area, morphology, the formulation's composition hardness, manufacturing process.To learn more about tablet, pharmaceutical, and physiology here,
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