Answer: 120
Step-by-step explanation:
x/6 + 5 =25, subtract 5 on both sides
-5 -5
x/6 = 20, multiply both sides by 6
6(x/6) = 20(6)
x = 120
in right triangle ABC, line CD is perpendicular to line AB, AD=9 cm DB=16 cm. Find CD and the area of triangle ABC
Answer:
8+8
Step-by-step explanation:
the answer to the whats C and D well c=8 and D=8
Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)
A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair that lasts x hours?
Answer:
15x + 25 = y
Step-by-step explanation:
$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y
Write the perimeter of the triangle as a simplified expression.
[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?
Answer:
115.85
Step-by-step explanation:
A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.
What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
Volume of a sphereThe globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
Volume of a cube
The box is a cube. Therefore,
volume = L³
where
L = lengthTherefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
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please help
what is the equation for the following graph
A=1
Answer:
[tex]f(x)=\sqrt{x+5}-3[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]
Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]
[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin
Therefore, this graph has been translated 5 units to the left and 3 units down.
Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]
[tex]\implies f(x)=\sqrt{x+5}-3[/tex]
Algebra Complete the table.Write the
expression that can be used to find the
missing value in the second row.
Step-by-step explanation:
In the second column, we can see that every value of n is being added by 6.
Thus, the expression is n + 6.Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.
When n is 12:
n + 6 = 1812 + 6 = 1818 = 18When n is 15:
n + 6 = 2115 + 6 = 2121 = 21When n is 21:
n + 6 = 2721 + 6 = 2727 = 27Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.
Finding n + 6 when n is 28:
n + 6 = x28 + 6 = x34 = xThus, the missing value in the table is 34.
A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs
Answer:
137 chairs
Step-by-step explanation:
6*24=144.
144-7=137.
please mark as brainliest.
How many apples could you buy if you went to the store with five dollars? *
Answer:
depends on how much the apples cost
Here is the picture of the problem- Only 6th grade math
Answer:
h= 7/6 mm
Step-by-step explanation:
hello :
the area is : A= (b+B)×h/2
calculate h the height : 2A = (b+B)×h
so: h = 2A/(b+B)
you have : A=21/5 and b= 3 and B= 21/5
h= 2(21/5)/(3+21/5)
h= (42/5) /(36/5)
h= 42/36
h= 7/6 mm
I just need help with Part C
the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.
well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].
reduce into lowest terms
[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]
Answer:
4/6
We know that, 4 can be written as:
4 = 2 × 2 and 6 = 2 × 3.
In both 2 is common so cancel it out we get, 2/3
Similarly,
10/12
10 = 2 × 5 and 12 = 2 × 2 × 3
2 common and cancel we get, 5/6
18/24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
6 (2 × 3) is common. So, cancel we get, 3/4
what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?
Answer:
ANSWER1,14,21,28,35,42,42,35,28,21,14,7
Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.
Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,
Pounds to Ounces
[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]
Grams to Ounces
[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]
Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,
[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]
Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.
Learn more about Units conversion:
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factorise: x^4– 5x^2 + 4
Answer:
(x - 2)(x - 1)(x + 1)(x + 2)
Step-by-step explanation:
[tex] {x}^{4} - 5 {x}^{2} + 4 \\ \\ = {x}^{4} - 4 {x}^{2} - {x}^{2} + 4 \\ \\ = {x}^{2} ( {x}^{2} - 4) - 1( {x}^{2} - 4) \\ \\ = ( {x}^{2} - 4)( {x}^{2} - 1) \\ \\ = (x + 2)(x - 2)(x + 1)(x - 1) \\ \\ = (x - 2)(x - 1)(x + 1)(x + 2)[/tex]
Answer:
[tex](x+1)(x-1)(x+2)(x-2)[/tex]
Step-by-step explanation:
To factorise [tex]x^4-5x^2+4[/tex] :
Let [tex]x^2=u[/tex]
[tex]\implies x^4-5x^2+4=u^2-5u+4[/tex]
Now factorise [tex]u^2-5u+4[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b[/tex]
[tex]\textsf{and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]\implies v=-1, w=-4[/tex]
[tex]\implies u^2-u-4u+4[/tex]
Break into groups
[tex]\implies (u^2-u)+(-4u+4)[/tex]
Factor each parentheses:
[tex]\implies u(u-1)-4(u-1)[/tex]
Factor out common term [tex](u-1)[/tex]:
[tex]\implies (u-1)(u-4)[/tex]
Substitute back [tex]u=x^2[/tex] :
[tex]\implies (x^2-1)(x^2-4)[/tex]
Factor both parentheses using the Difference of Two Squares: [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]\implies (x+1)(x-1)(x+2)(x-2)[/tex]
Therefore, the factorisation of [tex]x^4-5x^2+4[/tex] is
[tex](x+1)(x-1)(x+2)(x-2)[/tex]
Find the first three terms the described arithmetic series:
n=8
an= 36
a1=-6
Sn=120
The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?
Answer: 1/3
Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile
solve pls brainliest
Answer: The answer is -15/7
Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.
HOPE THIS HELPED!
Answer:
-1 1/7 :)
Step-by-step explanation:
[tex]-\frac{5}{7}[/tex] x 3
[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]
[tex]-\frac{15}{7}[/tex]
Now lest simplify it!!
-1 [tex]\frac{1}{7}[/tex]
Hope this helps!!
Have a great day!!
Please rate and mark brainliest!!
How many solutions are there for the quadratic equation?
Y=x^2+12x+36
Show work
Answer:
1 solution
x = -6Explanation:
[tex]\rightarrow \sf y=x^2+12x+36[/tex]
[tex]\rightarrow \sf x^2+12x+36=0[/tex]
[tex]\rightarrow \sf x^2+6x+6x+36=0[/tex]
[tex]\rightarrow \sf x(x+6)+6(x+6)=0[/tex]
[tex]\rightarrow \sf (x+6)(x+6)=0[/tex]
[tex]\rightarrow \sf x=-6[/tex]
Hence there is only one solution for this quadratic equation and the value is -6
[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]
Only one solution present
x=-6
Find the smallest number by which 6615 is to be multiplied by to get a perfect square
Answer:
3x 5
Step-by-step explanation:
3(1.07)^18 can you please help??
the answer should be 10.13979682
How many apples could you buy if you went to the store with five dollars?
Answer:5 apples
Step-by-step explanation:5x1=5
10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?
40 min = 40/60 hr = 2/3 hr
Distance = x km
t=distance/speed
x/200+x/120=2/3
multiply by 6oo
3x+5x=400
8x=400
x = 400/8=50km
The journey is for 50km
pls giive brainliest\
Is 3√2 a rational number?
Answer:
No
Step-by-step explanation:
Because sqrt 2 is not an integer
Answer:
3root2 is not a rational number
solve pls brainliest
Answer:
decreased by 7
Step-by-step explanation:
Based off of the table after each day, the money left on the card decreases by 7 after each day
eg. On Monday there is $40 on the card. On Tuesday there is $33 on the card. The money on the card decreases by 7 from Monday to Tuesday. It continues to decrease by this constant amount as the days pass.
Answer:
With each day additional day, the amount left on the card decreased by $7
Step-by-step explanation:
After each day you could see that the amount of money was lower and if you subtracted Monday by Tuesday, Tuesday by Wednesday, Wednesday by Thursday, and Thursday by Friday, you could see that it fell $7 each time.
Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?
Answer:
Vat amount = Rs 2340
Mp = Rs 22500
Directions: Select all correct answers.
Select all situation representing independent events.
Question 7 options:
Spinning spinner two times.
Rolling a die and then flipping a coin.
Taking one candy out of a bag of candies, eating it, and then taking another candy.
Taking a card from a set of ten cards, replacing it, and then, taking another card.
Taking a sock from a drawer, placing it on your foot, and then picking another sock from the drawer.
Taking a card from a set of ten card, not replacing it, and then taking another card.
Answer:
Step-by-step explanation:
5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?
Math homework, thanks
Answer:
X=79
Step-by-step explanation:
180-135=45
45+56=101
180-101=79