√(x + 1) + 3 = 0 ==> √(x + 1) = -3
has no real solutions, since the square root cannot be a negative number. But if we were to ignore that for the moment, one might try taking the square of both sides, which gives
(√(x + 1))² = (-3)² ==> x + 1 = 9 ==> x = 8
But this is not a valid solution, since
√(8 + 1) = √9 = 3 ≠ -3
While -3 is a square root of 9, we had started off with the *positive* square root of x + 1.
how to get the interval?
Step-by-step explanation:
Decide on the number of classes.
Determine the range, i.e., the difference between the highest and lowest observations in the data.
Divide range by the number of classes to estimate approximate size of the interval
hope it helps.
stay safe healthy and happy...Please help find the diagonal distance thank you
Answer:
[tex]\huge\boxed{c=17\ ft}[/tex]
Step-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=15ft\\leg=8ft\\hypotenuse=c[/tex]
Substitute:
[tex]c^2=15^2+8^2\\\\c^2=225+64\\\\c^2=289\to c=\sqrt{289}\to c=17(ft)[/tex]
Hey, could you help me? Thank you
Answer:
Step-by-step explanation:
you see 12=12 (side)
6=6 (side)
116°=116°(angle between sides)
now what can be the answer?
two sides and one angle equal
so SAS
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end text, )and a base width of 15\,\text{in}15in15, start text, i, n, end text. The height of the water is 12\,\text{in}12in12, start text, i, n, end text above the base. During cleaning, 900900900 cubic inches of water is removed. What is the absolute value of the change in the height of the water in inches
Answer:
The absolute change in the height of the water is 9.5 inches
Step-by-step explanation:
Given
[tex]l =24in[/tex] --- length
[tex]w = 15in[/tex] --- width
[tex]h =12in[/tex] --- height
[tex]V_1 = 900in^3[/tex] --- the volume removed
Required
The absolute change in the height of the water
First, calculate the base area (b):
[tex]b = l * w[/tex]
[tex]b =24in * 15in[/tex]
[tex]b =360in^2[/tex]
The height of the water that was removed is:
[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area
[tex]H = \frac{900in^3}{360in^2}[/tex]
[tex]H = \frac{900in}{360}[/tex]
[tex]H = 2.5in[/tex]
The absolute change in height is:
[tex]\triangle H = |h - H|[/tex]
[tex]\triangle H = |12in - 2.5in|[/tex]
[tex]\triangle H = |9.5in|[/tex]
[tex]\triangle H = 9.5in[/tex]
What is the radius of a sphere with a volume of 28526 in 3 , 28526 in 3 , to the nearest tenth of an inch?
Answer:
19.0 in
Step-by-step explanation:
From the question given above, the following data were:
Volume (V) of sphere = 28526 in³
Pi (π) = 3.14
Radius (r) =?
The radius of the sphere can be obtained as follow:
V = 4/3 πr³
28526 = 4/3 × 3.14 r³
28526 = 12.56r³ / 3
Cross multiply
12.56r³ = 28526 × 3
12.56r³ = 85578
Divide both side by 12.56
r³ = 85578 / 12.56
Take the cube root of both side
r = ³√(85578 / 12.56)
r = 19.0 in
Thus, the radius of the sphere is 19.0 in
On George's block, the ratio of cars to houses is 8 to 5. There are 32 cars, how many houses are there?
Answer:
Step-by-step explanation:
20 houses
Answer:
20
Step-by-step explanation:
You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.
**You may want to revise multiplying and dividing with ratios. I'm always happy to help!
Given tan t = 2/3 and that pi <= t <= 3pi/2. Find exact value for each of the following:
a) sec t
b) cos t
c) sin t
d) csc t
e) cot t
well, first off let's notice something about angle "t", is between π and 3π/2, or namely the III Quadrant, where both "x" or adjacent side as well as "y" or opposite side are negative.
something else noteworthy is that, the hypotenuse is just a radius length and thus is never negative.
[tex]tan(t)=\cfrac{2}{3}\implies tan(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{adjacent}{-3}}\qquad \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c =\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+(-2)^2}\implies c = \sqrt{9+4}\implies c = \sqrt{13}[/tex]
[tex]\rule{34em}{0.25pt}\\\\ sec(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{adjacent}{-3}}~\hfill cos(t)=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-3\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-3\sqrt{3}}{13}[/tex]
[tex]sin(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-2\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-2\sqrt{13}}{13} \\\\\\ csc(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{opposite}{-2}}~\hfill cot=\cfrac{\stackrel{adjacent}{-3}}{\underset{opposite}{-2}}\implies \cfrac{3}{2}[/tex]
Evaluate e - 1/2 f when c = 15 and f =2
Answer: 14
Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:
(15) - 1/2(2)
1/2 * 2 = 1
15 - 1 = 14
ANSWER PLZ WILL MARK BRAINLIEST!!!!!!
Answer:
3x^2
Step-by-step explanation:
Is this true or false!!! Need help!
Answer:
false
Step-by-step explanation:
false
Answer:
it is false it'll be (-infinity,infinity )
Step-by-step explanation:
Hope this helps!! <3
A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Can yall please help me with this, pls try to explain in it steps, ty.
Answer:
D
Step-by-step explanation:
First find the slope of the line. The two points I will use are (0, 3) and (4, 2).
(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)
Answer: D
Step-by-step explanation:
In order to have the same slope, in y=mx+b form, the two "m" must be equal.
Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)
slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4
Now find which equation has the m of -1/4 and that's your answer
Hint its D.
7X^2+20x=24
X=?
Please answer to 2 d.p
Answer:
0.76
or
-0.76
hope this helps
Which set of numbers is included as part of the solution set of the compound inequality
x < 6 orx > 10?
Complete question is;
Which set of numbers is included as part of the solution set of the compound inequality
x < 6 or x > 10?
A) {–7, –1.7, 6.1, 10}
B) {–3, 4.5, 13.6, 19}
C) {0, 6, 9.8, 14}
D) {8.5, 9.1}
Answer:
B) {–3, 4.5, 13.6, 19}
Step-by-step explanation:
The given compound inequality x < 6 or x > 10 means that x must be less than 6 and greater than 10. And also that x cannot fall between 6 and 10.
Looking at the given options, the only set of values that fall into this compound inequality range is option B.
Pedro ordered a pizza. The pizza place charges $12 for a large pizza plus an additional $2.50 per topping. The total cost of Pedro's pizza was $22. Write and solve an equation to determine many toppings Pedro ordered.
Answer:
4 toppings
Step-by-step explanation:
22-12=10
2.50*?=10
2.50*4=10
4 toppings
Answer:
12+(2.50x)
12+(2.50*4)
12+(10)
22
Step-by-step explanation:
x stands for number of toppings
Round 9.107 to the nearest tenth.
Answer:
9.1
Step-by-step explanation:
Answer:9.1
Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point
Please help me ASAP tysm
What is the length of leg s of the triangle below?
45
3
1072
90°
45
$
The length of the leg is 9.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
From the triangle,
S = length of the leg.
Now,
Applying the Pythagorean theorem.
√18² = 3² + s²
18 = 9 + s²
s² = 18 - 9
s² = 9
s = 9
Thus,
The length of the leg is 9.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ7
Help plzz
7. Patrick wants to buy a new computer. He already has $275 saved and plans to save $125 each month. The price of
the computer is currently $1,850, but Patrick expects the price to drop by $100 each month. Patrick wants to
determine the number of months he will need to save
a) Ifx represents the number of months, then write an equation to represent A, the total amount Patrick saves
b) Ifx represents the number of months, then write an equation to represent the cost of the computer.
c) Use your equations from part "" and part to determine how many months he will need to save before he can
buy the computer. Show your work or explain how you got your answer.
d) If the price of the computer does not drop as expected, then how many months will it take Patrick to buy the
computer at its original cost? Show your work or explain how you got your answer.
Answer:
A) A = 275 + 125x
B) 1850 - 100x
C) 7 months
D) 13 months
Step-by-step explanation:
He has $275 saved.
He plans to save $125 each month.
We are told that the computer is currently $1,850
And the price drops $100 each month.
Thus;
A) If x represents the number of months, then equation of the amount he will save is;
A = 275 + 125x
B) If x represents the number of months, then equation to represent the total cost is;
1850 - 100x
C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;
275 + 125x = 1850 - 100x
Rearranging;
125x + 100x = 1850 - 275
225x = 1575
x = 1575/225
x = 7 months
D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;
275 + 125x = 1850
125x = 1850 - 275
125x = 1575
x = 1575/125
x = 12.6 months
Approximating to the nearest whole number gives 13 months
please help with number 5 (20 pts) those who answer all on the screen gets brainliest
Answer:
True
Step-by-step explanation:
This is an Isosceles triangle because it has two equal sides.
(3)/(4)x-3=(2)/(5) write this without fractions
3x -17
4 -5 =0
3(x-4)=2
4 5
Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jeanette uses to knit a poncho (p), and explain how to represent the inequality on a number line.
Answer:
[tex]p > s[/tex]
Step-by-step explanation:
Given
[tex]p \to poncho[/tex]
[tex]s \to scarf[/tex]
Required
The inequality
From the question, we understand that;
the number of p used is more than the number of s
more than means greater than.
So, the inequality is:
[tex]p > s[/tex]
To represent this on a number line.
First, we identify the position of s (i.e. scarf)
[tex]p > s[/tex] implies that p is any point to the right of s
durante un frente frío, la temperatura Canadá bajó de 7°C a -5°C ¿Cuántos grados bajo la temperatura
Answer:
Durante el frente frío mencionado en el ejercicio, la temperatura de Canadá bajó:
12°C.Step-by-step explanation:
Para obtener la cantidad de grados que bajó la temperatura en el caso mencionado, debes primero identificar la disminución en los grados positivos, es decir, cuando los grados Celsius llegaron a 0°C:
Diferencia entre 7°C y 0°C = 7°CEn la operación matemática, solo restante la cantidad de grados necesarios a la temperatura inicial (7°C) para que la temperatura quedara en 0°C, donde obtenemos una diferencia de 7°C, ahora identificas la cantidad de grados que se necesitan para que la temperatura pase de 0°C a -5°C:
Diferencia entre 0°C y -5°C = 5°CRecuerda que como ya estamos hablando de diferencia, no necesitas señalar si los grados son negativos, solo identificamos el número de grados Celsius entre esas temperaturas mencionadas, por lo tanto, al final sumas las dos diferencias halladas y esa será la diferencia total entre las dos temperaturas dadas:
Diferencia entre 7°C y -5°C = 7°C + 5°CDiferencia entre 7°C y -5°C = 12°CPor lo tanto, durante el frente frío mencionado, la temperatura en Canadá bajó 12°C.
If f(x) = x2 – 1, and
g(x) = x + 2, then
f(g(x)) = [ ? ]x2+[ ]x+]
Answer:
f(g(x)) = x^2+4x+3
Step-by-step explanation:
f(x) = x^2 – 1
g(x) = x + 2
f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3
how do you solve 8/14 = 2/x
Answer:
x = 3 1/2
Step-by-step explanation:
8/14 = 2/x
Using cross products
8*x = 14*2
8x = 28
Divide by 8
8x/8 = 28/8
x = 7/2
x = 3 1/2
please may I get help please
whish way should I use
Answer: B.
Step-by-step explanation:
Data: Estimate of 7.21x3.86/10.09=x
Only step, Find the estimate for each number(7.21=7, 3.86=4, 10.09=10)
Explanation: How estimation work is that it numbers below 5 stays the same and numbers 5 and above round up so a number like 7.21 which has 2 and 1 as it's rounding numbers will stay the same however a number like 3.86 which has 8 and 6 as it's rounding numbers will round up
That's how we arrive at the answer of B.
I hope this helps(Mark brainliest if you'd like)
Mr. Jubran goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon
on the cost of the meal. The tax is 8%. He leaves a tip of 18% on the amount
before the coupon or tax applied. How much does he spend?
Answer:
$36.97
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .
The tax was 8% so this means he is adding
help me to do this please
Answer:
a) (10×13) + 55 b) 185 Nu c)-75 or -205 (unsure of instruction)
Step-by-step explanation:
a) He spends 10 Nu a day for 13 days, meaning he has spent 10×13 Nu. He originally had this amount, plus the 55 he ends up with. This means he began with (10×13) + 55.
b) This can then be solved using BODMAS (or PEMDAS, whatever you call the order of operations).
We begin with the multiplication, which turns the expression to 130+55. We then move to addition, giving a final result of 185.
c) For this one, I'm not sure if it is if he did that from the beginning or from now, so I've done both.
If it's from the beginning, you would use 185-(20×13) to solve this. This gives 185-260, which solves to -75.
If it's from the point of 55 Nu, you would use 55-(20×13), which gives 55-260. This solves to -205.
**You may wish to revise writing integer expressions. I'm always happy to help!
Find the value of. X (will mark brainliest)
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
[tex]5x=3x+60[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]2x=60[/tex]
[tex]/2[/tex] [tex]/2[/tex]
[tex]x=30[/tex]
Check:
[tex]5(30)=3(30)+60[/tex]
[tex]150=90+60[/tex]
[tex]150=150[/tex]
Hope this helps!
Tina has a greenhouse in which she grows strawberries. The sprinkler system in the greenhouse sprays a fine mist to ensure the strawberries get enough water. The strawberries are watered for a total of 2 hours and 45 minutes every day and the temperature in the greenhouse is kept constant at 25 °C. The clock below shows the time each morning when the sprinkler system is switched off
Answer:
a) 9:11 am
b) 77°F
Step-by-step explanation:
a) From the clock shown in the image attached, we can see that the time that the sprinkler system is switched off is at 11:56 am. Since the strawberries are watered for a total of 2 hours and 45 minutes every day, the time that the sprinkler is switched on can be gotten by subtracting 2 hours 45 minutes from 11:56 am. Hence:
Time sprinkler system is switched on = 11:56 am - 2 hours 45 minutes = 9:11 am
b) Temperature in °Farenheit = (1.8 * temperature in degree Celsius) + 32°
Temperature in °Farenheit = (1.8 * 25°) + 32° = 45° + 32°
Temperature in °Farenheit = 77°F
