Answer:
Step-by-step explanation:
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
9 cm
cubic centimeters
Answer:
3052.08
Step-by-step explanation:
We use the volume formula for spheres
[tex]\frac{4}{3}[/tex]πr³
Plug in 9cm for radius and evaluate
[tex]\frac{4}{3}[/tex]π(9)³
[tex]\frac{4}{3}[/tex]π*729
3052.08
In an equation, y varies directly as x varies. If y = 72 when x = 12 what is the value of x when y = 48?
Answer:
8
Step-by-step explanation:
y=kx where k is a constant.
72=12k
k=72/12=6
y=6x
48=6x
x=48/6=8
3x + 4 = -11 what is the value of x in this equation?
Answer:
Step-by-step explanation:
3x + 4 = - 11
3x = - 11 - 4
3x = - 15
x = - 15/3
x = - 5
Answer:
x = -5
Step-by-step explanation:
3x + 4 = -11
Isolate 3x.
3x = -11 - 4
Evaluate.
3x = -15
Find x.
x = -15 ÷ 3
x = -5
use the substituation method to solve 6=-4x+y -5x-y=21
Answer:
x=-3 y=-6
Step-by-step explanation:
solve for y on the first equation then plug the answer into the second
i will give brainliest to best answer
That's a Congruent Triangle question.
The first thing that we should to analize is it: What figure is EFGH? The question say for us that [tex]\overline{EF} \cong \overline{GH}[/tex] and [tex]\overline{EH} \cong \overline{GF}[/tex], therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).
Now, we should to proof that [tex]\triangle EFH \cong \triangle GHF[/tex]. The simbol "≅" means congruence, that is, [tex]\triangle EFH \cong \triangle GHF[/tex] means that the triangles EFH and GHF are equals.
Let's proof:
[tex]\overline{HF}[/tex] is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, [tex]E\hat{F}H \cong F\hat{H}G[/tex] and [tex]E\hat{H}F \cong H\hat{F}G[/tex].
Both triangle has a comum side: the diagonal [tex]\overline{HF}[/tex]. The diagonal [tex]\overline{HF}[/tex] is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that [tex]\triangle EFH \cong \triangle GHF[/tex].
Today the temperature in New York City is -3 degrees and is expected to rise one half of a degree each day. It's 6 degrees in Juneau, Alaska and expected to fall 1 degree every 4 days. How long will it take for the temperature to be the same in the two cities? What will the temperature be?
Answer:
12 days
3 degrees
Step-by-step explanation:
Let y be the temperature of the cities after x days have passed.
Temperature of New York City
[tex]y=-3+\dfrac{1}{2}x[/tex]
In Juneau the temperature falls by 1 degree per 4 days. So, in 1 day the temperature falls be [tex]\dfrac{1}{4}[/tex] degree.
The minus sign is due to the fact that the temperature is falling
Temperature in Juneau Alaska
[tex]y=6-\dfrac{1}{4}x[/tex]
We need to find the value of x for which y will be equal
[tex]-3+\dfrac{1}{2}x=6-\dfrac{1}{4}x\\\Rightarrow \dfrac{1}{2}x+\dfrac{1}{4}x=6+3\\\Rightarrow \dfrac{3}{4}x=9\\\Rightarrow x=\\\Rightarrow x=9\times \dfrac{4}{3}\\\Rightarrow x=12\ \text{days}[/tex]
[tex]y=-3+\dfrac{1}{2}x=-3+\dfrac{1}{2}\times 12\\\Rightarrow y=3\ \text{degrees}[/tex]
Hence, in 12 days the temperature will be same in both the cities will be 3 degrees.
Darien could swim 30 laps an
hour last year. This year he can
swim 36 laps an hour. Determine the
percent change
Answer:
D
Step-by-step explanation:
If the percent change is 30 to 36 you can already see that it is an increase
here is the work
36 - 30
30
x 100% = 20%
Answer:
20% increase, which corresponds to the light
Step-by-step explanation:
(y - x)/x * 100
(36 - 30)/30 * 100
(6 * 100)/30
600/30
20% increase
julian needs to spend at least seven hours each week practicing the drums. he has already practiced five and one third hours this week. he wants to sp
The minimum number of hours is 5/6 and the inequality is x ≥ 5/6 hours.
What exactly is an inequality?An inequality is a relationship that compares two numbers and perhaps other mathematical expressions that are not equal. It is most commonly used to compare the sizes of two numbers on a number line.
According to the given data:Let x = the number of hours practicing the drums
we know that Julian needs to spend at least seven hours each week practicing
the drums x ≥ 7 hours
He has already practiced 5*(1/3) hours this week.
Convert mixed number to an improper fraction 5*(1/3) = 16/3hours.
Subtract 16/3 from 7,
7 - (16/3)
= 5/3
Divide 5/3 by 2,
(5/3)/2
=5/6
Hence,
The inequality that represent the minimum number of hours he needs to practice on each of the two days is x ≥ 5/6 hours.
To learn more about inequality visit:
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The given question is not complete.
Julian needs to spend at least seven hours each week practicing the drums. He has already practiced 5 1/3 hours this week. He wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours he needs to practice on each of the two days.
Yesterday 3. Hali was making a bouquet of flowers. 60% of her bouquet was made up of roses. Show much of her bouquet was made up of roses on the model below. Write the fraction and decimal equivalent to 60%. h 441
Answer:
0.6, 3/5
Step-by-step explanation:
60%=
100% * 60/100=
1*60/100=
60/100=6/10=0.6
6/10=3/5
Find the area with 12 and 4
Answer:
48
Step-by-step explanation:
The area is multiplying.
12 x 4 = 48
Hope It Helps
Sorry If I'm Wrong
PLEASE HELP MEEEEE!!!!!
Answer:
The mass of 10mL of this liquid would be 25g.
Step-by-step explanation:
The formula for mass in relation to density and volume is:
mass=Density*volume
Knowing this, we could plug in the given volumes and solve:
m=Dv
m=(2.5g/mL)*(10mL)
m=25g
I hope this helps!
Help me please! Will mark brainiest :) ASAP
Answer:
Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.
Step-by-step explanation:
Given that:
M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.
Here,
n means the number of drive.
The statement is given
M(10) = K
10 represents the nth drive of Jayce's.
Therefore,
The given statement represents Jayce's fee for his 10th drive is equal to K dollars.
Hence,
Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.
The points (9,4) and (7,w) fall on a line with a slope of 5. What is the value of w?
Answer:
-6Step-by-step explanation:
Equation .......[tex] \ slope\: = \frac{different \: \: in \: y}{different \: in \: x}[/tex]
So ,. [tex] \: \: \: \: \: \: \ \: \ \: \: \: \:5 = \frac{(y1 - y2)}{(x1 - x2)} [/tex][tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{(4 - w)}{(9 - 7)} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{4 - w}{2} [/tex]
5 × 2 = 4 - w 10 = 4 - w W = 4 - 10 W = -6 ..........Answer the following question and will mark Brainliest
a) f(4) = 3*4 - 4
= 8
b) h(-3) = 5 - ( - 3)
= 5 + 3 = 8
c) h(4) - f(-5) = 1 + ( -19)
= -18
have a nice day <3
The original cost of Sam’s investment is $10,000. After liquidating the investment, Sam calculated his real return to be $10,700. What is the return on investment (ROI)?
Answer:
7%
Step-by-step explanation:
Step one:
given data
The original cost of Sam’s investment is $10,000
Sam calculated his real return to be $10,700
Required:
the interest made from the investment is
10700-10000= $700
Step two:
The ROI is a percentage that tells us the interest made
interest/investment*100
=700/10000*100
=0.07*100
= 7%
The ROI is 7%
6.
Write an equation of the line that passes through (3,8) and is perpendicular to the line y=5x−4.
Answer:
use desmos graphing and put (3,8) and y=5x-4 it help me
A parabola can be drawn given a focus of (0, 2) and a directrix of y = 0. Write the
equation of the parabola in any form.
Given:
Focus of a parabola = (0,2)
Directrix: y=0.
To find:
The equation of parabola.
Solution:
The equation of parabola is
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex] ...(i)
where, (h,k) is vertex, (h,k+p) is focus, y=k-p is directrix.
Focus : [tex](h,k+p)=(0,2)[/tex]
On comparing both sides, we get
[tex]h=0[/tex]
[tex]k+p=2[/tex] ...(ii)
On comparing y=k-p and y=0, we get
[tex]k-p=0[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=2[/tex]
[tex]k=1[/tex]
Putting k=1 in (ii).
[tex]1+p=2[/tex]
[tex]p=2-1[/tex]
[tex]p=1[/tex]
Putting h=0, k=1 and p=1 in (i).
[tex]y=\dfrac{1}{4(1)}(x-(0))^2+(1)[/tex]
[tex]y=\dfrac{1}{4}x^2+1[/tex]
Therefore, the equation of required parabola is [tex]y=\dfrac{1}{4}x^2+(1)[/tex].
A car traveled 180 miles at a constant rate.
Part 1. Complete the table to show the rate at which the car was traveling if it completed the same distance in each number of hours.
travel time (hours) rate of travel (miles per hour)
(5:
1040)
(4.5:
520)
(3:
360)
(2.25:
180)
Answer 1:
1040
Answer 2:
520
Answer 3:
360
Answer 4:
180
Which equation represents the linear function that is shown on the graph below ?
A. Y=1/2 x+4
B. Y=1/2 x-2
C. Y=4 x-2
D. Y= -2 x +4
Answer:
First one
Step-by-step explanation:
Y=1/2x+4
1. Name two angles that are supplementary to ∠DOE.
2. Name a pair of complementary angles.
3. Name two pairs of vertical angles.
Answer:
explain please and thank you
Which point lies on the circle x^2+y^2=100
A (0,-100)
B (10,-10)
C (25,75)
Answer:
NOT a single ordered pair satisfies the equation.
Step-by-step explanation:
Given the equation
[tex]x^2+y^2=100[/tex]
Let us substitute all the given ordered pairs to find which ordered pair satisfies the equation.
For (0, -100)
[tex]x^2+y^2=100[/tex]
substitute x=0 and y=-100
[tex]0^2+\left(-100\right)^2=100[/tex]
[tex]10000=100[/tex]
FALSE
Thus, the ordered pair (0, -100) does NOT satisfy the equation.
For (10, -10)
[tex]x^2+y^2=100[/tex]
substitute x=10 and y=-10
[tex]10^2+\left(-10\right)^2=100[/tex]
[tex]200=100[/tex]
FALSE
Thus, the ordered pair (10, -10) does NOT satisfy the equation.
For (25, 75)
[tex]x^2+y^2=100[/tex]
substitute x=25 and y=75
[tex]25^2+\left(75\right)^2=100[/tex]
[tex]6250=100[/tex]
FALSE
Thus, the ordered pair (25, 75) does NOT satisfy the equation.
Therefore, NOT a single ordered pair satisfies the equation.
Which function is linear?
A)
f(x) = 8x² + 2
B)
8
f(x) -
X
+ 2
f(x) - 8x? - 2
D)
f(x) = -2
Answer:
4
Step-by-step explanation:
5-1=4
Answer:
B)
Step-by-step explanation:
Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.
perfume discounted 25% on sale for $27
Soo, since it's 25% off, I multiplied 27x0.75, and I got 20.25
Soo, the answer is $20.25
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
simplify to create an equivalent expression 4(3x +2) - 7x
Answer:
5x + 8
Step-by-step explanation:
To create an equivalent expression, we are going to simplify the expression as far as we can. To do this, we are going to first distribute what we can.
1. 4(3x+2) -7x
2. Distribute the 4.
3. 12x + 8 - 7x
4. Combine like terms.
5. 12x - 7x = 5x
6. 5x + 8
A cup of cereal has 12 grams of fiber, which is 40% of the amount of fiber Jared's
doctor recommends he consume each day.
How much fiber does Jared's doctor recommend he consume each day?
Answer:
Jared's doctor recommends he consume 30 grams of fiber each day.
Step-by-step explanation:
Jared's doctor recommends he consume 30 grams of fiber each day. We know this is the answer because, if we divide 12 grams by 40%, we get 30 grams which means, 12 grams is 40% of 30 grams.
Answer:
30 grams
Step-by-step explanation:
Let the doctors recommendation be
12g = 40/100 × x
x = 12g ÷ 40/100
x = 12g × 100/40
x = 12g × 5/
x = 60g/
x = 3g
find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)
f(x)=√(4-x), [-5,4]
================================================
Work Shown:
Compute the function value at the endpoints
[tex]f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\[/tex]
With a = -5 and b = 4, we have
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\[/tex]
So,
[tex]f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\[/tex]
Use algebra to solve for c
[tex]-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\[/tex]
6 cm
5 cm
Determine the value of x.
A. 11 cm
O B. 461 cm
OC V11 cm
D. 3 cm
OE. 1 cm
Answer:
A.
Step-by-step explanation:
Step 2 of the Coefficient Method involves blank x-term and y-term coefficients.
Answer:
Dividing
Step-by-step explanation:
Which number on the number line shows the solution of 6x-12>-6?
Answer:
B
Step-by-step explanation:
We start by finding a solution to the linear inequality
6x-12 > -6
6x > -6 + 12
6x > 6
x > 6/6
x > 1
The correct number line is one with value at 1, facing the right and unshaded
A theater sold a total of 245,771 tickets last year.
They sold 52,669 child tickets.
The remaining tickets were adult tickets.
How many adult tickets were sold?
Answer:
193102
Step-by-step explanation:
245771-52669=193102