Answer: 20
Step-by-step explanation:
A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.
Therefore, x/4 = 5
x = 4 × 5
x = 20
The number is 20
Evaluate the following logarithm 3/4log16
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose oil is drained at a
rate of 1.5 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
[tex]8\:\mathrm{minutes}[/tex]
Step-by-step explanation:
The volume of a cylinder is given as:
[tex]r^2\cdot\pi\cdot h[/tex]
Since the diameter is [tex]2.2[/tex], the radius is [tex]\frac{2.2}{2}=1.1[/tex].
Therefore, the volume of this cylinder is:
[tex]1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}[/tex], using [tex]\pi=3.14[/tex] as requested in the problem.
Since the tank is emptied at a constant rate of [tex]1.5\:\mathrm{ft^3\:per\:minute}[/tex], it will take
[tex]\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}[/tex] to empty the tank.
In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.
We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."
Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.
please help 100points!!!!
And I will make brainiest
only if there is a good explanation.
Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.
Step-by-step explanation:
What is the equivalent of 5f + 7f
Answer:
12 f
Step-by-step explanation:
Write the equation of a line with a slope of O through the point (3, -1).
y = 3x - 1
y = -1
x=3
x = -1
Answer:
x=3
please mark as brainliest
Please solve if so thank you so much!!
Answer:
60 x 4
Step-by-step explanation:
Answer:
y=35x+60
x=4
Step-by-step explanation:
I will give a brainlist if someone could answer this problem with a explanation:)
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.
Please help at least one Number it please!!!!
The work of Islamic mathematicians, philosophers, and scientists played an essential
role in the start of
Answer:
The beginning of the philosophy of history
Step-by-step explanation:
what is m∠1 if m∠7 = 60°?
Step-by-step explanation:
95vxgr Tu fjvgzgvkvgshvysrvv
The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?
An expression is shown.
5x + 3y - 2x - 2y - 3
Create an expression that is equivalent to the given expression.
Answer:
3x + y - 3
Step-by-step explanation:
Like Terms: In algebra, like terms are terms that have the same variables and powers.
To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used like terms :
(5x - 2x) + (3y - 2y)
(5x - 2x = 3x) + (3y - 2y = 1y or y)
3x + y
Then we add the - 3 at the end giving us:
3x + y - 3
Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
[tex]Company: 43 + 24.75h[/tex]
Step-by-step explanation:
Given
Hamda:
[tex]Project\ Fee = 25[/tex]
[tex]Hourly\ Rate = 10.50[/tex]
Layla:
[tex]Project\ Fee = 18[/tex]
[tex]Hourly\ Rate = 14.25[/tex]
Required
Derive an expression for total pay
Represent the number of hours with h.
For Hamda and Layla, their pay for h hours is:
[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]
For Hamda, we have:
[tex]Hamda : 25 + 10.50 * h[/tex]
[tex]Hamda : 25 + 10.50 h[/tex]
For Layla, we have:
[tex]Layla: 18 + 14.25 * h[/tex]
[tex]Layla: 18 + 14.25 h[/tex]
For h hours, the company will pay:
[tex]Company: Hamda + Layla[/tex]
[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]
Collect like terms
[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]
[tex]Company: 43 + 24.75h[/tex]
What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)
Apply l'Hopital's rule:
[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]
where
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]
follows from the fundamental theorem of calculus.
You would like to buy new carpet for a room. The room us rectangular. The dimensions are 12 1/3 feet by 10 3/4 feet. How many square feet of carpet do you need?
Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
Please help!!! Will give brainliest!!!
Answer:d
Step-by-step explanation:
Both aren’t related But they do have some impact on eachother
ANSWER FAST PLS HAVE 5 MIN FOR THIS
Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x
Answer:
Y=375x
Step-by-step explanation:
thats the answer
please help, thanks :)
Answer:
D :)
Step-by-step explanation:
4) What type of sequence is shown: 1, 2, 4, 7, 10,...
Answer:
Stohr sequence
Step-by-step explanation:
Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence
The perimeter of a rectangle is 24 inches. The length is 2 inches. Use the numbers below to complete an equation to solve for the width, w. Numbers may be used once, more than once, or not at all.
We want to find the width of a rectangle, we will find that the width is 10 inches.
Finding the width:So we know that the perimeter of a rectangle is just given by:
P = 2*(L + W)
Where L is the length and W is the width.
Here we know that:
P = 24 inches
L = 2 inches
Replacing that we get:
24 in = 2*(2 in + W)
(24in)/2 = (2 in + W)
12 in = 2 in + W
12 in - 2 in = 10 in = W
So the width is 10 inches.
If you want to learn more about rectangles, you can read:
https://brainly.com/question/17297081
m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p
Answer:
- 104
Step-by-step explanation:
Assuming the question is to evaluate the expression.
Given
- 3m² + 4n - p ← substitute given values for m, n and p
= - 3(- 6)² + 4(2) - 4
= - 3(36) + 8 - 4
= - 108 + 4
= - 104
A rate in which the first quantity is compared to 1 unit of the second quantity
Answer:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost?
Answer:
Shirt: $7.5
Sweater: $17.5
Step-by-step explanation:
25/2=12.5
Shirt is 5 less than Sweater
12.5-5=7.5
Add 5 to sweater cost
12.5+5=17.5
Shirt=7.5 Sweater=17.5
17.5+7.5=25
If a room has a length of 15 feet, then what is the length in yards? Hint: 3 feet= 1 yard
Answer:
5 yards
Step-by-step explanation:
Given;
1 yard = 3 feet
The length of a room is 15 feet
Find;
The length of the room in yards
Set up a proportion;
[tex]\frac{1yard}{3feet}=\frac{x-yards}{15feet}[/tex]
Solve;
x = 5 yards
Urgent help need it plz help
What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?
Answer: 21 +4c
Step-by-step explanation:
Answer:
what is in between 36 and 2c?
In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are
Answer:
AC ; AB ; BC
Step-by-step explanation:
Recall that largest angles will oppose largest sides in a triangle, therefore, the angles in order of greatest to smallest are:
<B (84); <C (60); <A (36)
Their opposite sides will keep the same order from largest to smallest:
AC ; AB ; BC
The side lengths, in order from greatest to least, are
AC
AB
BC
Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *
You buy a watch that cost $45.50. The tax on the watch is 7.5%. What is the final cost of the watch? *
1 point
$3.41
$53.00
$42.09
$48.91
Answer:
$48.91
Step-by-step explanation:
$45.50 * 1.075 or 7.5% = $48.91
