Answer:
[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]
Step-by-step explanation:
[tex]-> 0=2x^2-2x-15[/tex]
-zeros means the solution aka x intercept, meaning y=0
[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}[/tex]
=> according to quadratic formula
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
where [tex]ax^2+bx+c=0[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}[/tex]
simplify
[tex]x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}[/tex]
[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]
Cannot simplify farther
The units of area and volume are..
Answer:
Area is measured in square kilometres
Step-by-step explanation:
Volume measures the space inside a 3-dimensional objects
Oliver purchased 11.3 gallons of gasoline. There are approximately 3.8 liters
in 1 gallon. Which measurement is closest to the number of liters of gasoline
Oliver purchased?
E) 40.84
F) 7.5L
G) 15.1 L
H) 42.94 L
Answer:b
Step-by-step explanation:
how do u do number 10?
Answer:
C is the correct option
Select the correct answer.
What is the value of x in the triangle?
Answer:
D. 2√2
Step-by-step explanation:
sin 45° = 1/√2
P/H = 1/√2
x/4 = 1/√2
= 1/√2 × 4
= 4/√2
x = 4×√2/√2×√2
= 4√2 /2
= 2√2
Option D. 2√2
Write 5,890,000,000 in scientific notation.
‼️‼️‼️‼️can someone pls explain and what’s the answer? pls:)‼️‼️‼️‼️‼️‼️
Answer:
4. B
(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)
Step-by-step explanation:
I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x
This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).
This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )
HOWEVER, when we do a statement that does not correspond to the table
it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.
Please help!! Someone answered this already as a joke, I seriously need help on this
Match the shape with the correct formula for finding the volume :-
SHAPES :-
ConeCylinder Triangular PrismRectangular Prism PyramidFORMULAE :-
[tex] \sf lwh[/tex] [tex] \sf Bh[/tex] [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] [tex] \sf \pi {r}^{2} h[/tex] [tex] \sf \frac{1}{3} Bh[/tex] ____________________Solution :-Given Information :- Shapes Formulae to calculate Volume To Do :-Match the shape with the correct formula for finding the volume.
Calculation :-Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________Final Answers :- Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________5 balloons in 12 minutes. At this rate, how many balloons can she blow up in 3 hours?
Answer:
75 ballons in 3 hours
Step-by-step explanation:
We know the ratio min to balloon, 12:5.
A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]
So, 75 balloons is how many she can blow up in 3 hours.
BRAINLIEST IF UR CORRECT What is the correct answer?
Step-by-step explanation:
The function should look like this:
g(x) = 10^(x - 1) + 2
29
7. Find the least number that must be added to 1300 so as to get a perfect square. Also, find the square root of the
perfect square
Answer:
69 need to be added
Step-by-step explanation:
1300 +69 = 1369
37 ² = 1,369
square root of 1,369 is 37
HELP MEEEeeeeeEEEEEEEEEEE
Answer:
it's neptune hun
Step-by-step explanation:
Answer:
Neptune
Step-by-step explanation:
Like Jupiter and Saturn, Neptune radiates more hear than it receives. ... The average temperature on Neptune is a brutally cold -373 degrees F. Triton, Neptune's largest satellite, has the coldest temperature measured in our solar system at -391 degrees F.
the cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the relationship between the total cost, Y, and the number of hours, X, that the paddleboat is rented?
A. y =3.5x+7 B. y =7x+3.5
B. y =7x+3.5
C. y =x/7+3.5 D. y =x/3.57
D. y =x/3.5+7
Answer:
the correct answer is A, y=3.5x + 7
A triangle has interior angles of 101 degrees, 65 degrees, what is the other degree?
Answer:
180 degrees - 101 degrees - 65 degrees = 14 degrees
Please help!! Thanks in advance!! NO links!!
Kallan will spin each spinner one time. What is the probability that the first spinner will land on a number greater than 7 and the second spinner will land on blue?
Answer:
probability for numbers greater than seven would be: 5/12
probability for landing on blue would be: 2/8
Step-by-step explanation
first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.
Find the surface area of this rectangular prism. 4cm,9cm.5cm
Answer:
18cm
Step-by-step explanation:
6(2x-3) - 2(2x+1)
can someone get an answer for that ASAP pls
no links :)
Answer: 8x−20
Step-by-step explanation:
Distribute:
=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)
=12x+−18+−4x+−2
Combine Like Terms:
=12x+−18+−4x+−2
=(12x+−4x)+(−18+−2)
=8x+−20
Answer:
[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]
Step-by-step explanation:
brainiest please
Michelle drives her car around a square track each side of the track is 30 feet long. How many times does the car need to go around the track to go a total distance of1,200 feet/
Answer:
10 times
Step-by-step explanation:
distance covered once is equal to the perimeter of the square
perimeter of the square = 4 x length
4 x 30 = 120 ft
number of times = 1200 / 120 = 1-
Plz answer this quick!!!
Answer:
3 Beings
Step-by-step explanation:
If 20% of them preferred quect juice and 15 were surveyed, then 3 preferred quect juice because 20% of 15 is 3!
Hope this helps! :)
Help! Will give out brainliest
Answer:
75
Step-by-step explanation:
don't know how to explain hope this helps
it would be 75
-----------------------------------------------------------------------------------------------------------------
The following two-way table shows the number of students of a school who have a cell phone and/or have a part-time job: Have Cell Phone Do Not Have Cell Phone Total Have Part time Job 40 10 50 Do Not Have Part time Job 10 40 50 Total 50 50 100 Based on the table, how many students have both a cell phone and a part-time job? (5 points) Question 14 options: 1) 10 2) 40 3) 50 4) 100
Answer:
I think it is B, so the correct answer is 40
Step-by-step explanation:
Answer:
The other guy is correct, the correct answer is B. 40.
Step-by-step explanation:
Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40
Simplify the expression below.
Find the circumference
Answer:
c=pi*D
d=7
pi times 7= 21.98 is the circumference
c=pi*D
d=8
pi times 8=25.12 is the circumference
Step-by-step explanation:
Austin runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes?
Answer:
miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48(2/15) miles = 96/15 miles = 6.4 miles.
Step-by-step explanation:
hope it hlp
HELPPPP!!!!
PLZZZZ!!
Answer:
the 2nd option is true
Step-by-step explanation:
slope for W = 1/2
slope for Z = 1/4
y-intercept for W = -1
y-intercept for Z = -2
y-value when w = -4 is 3 for both W and Z
how much paper is needed to cover a rectangular bulliten board that is 29 in. wide and 37 in. high?
Answer:
1073 inches squared.
Step-by-step explanation:
To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.
To find the answer:
Area = length * width
Area = 29 * 37
Area = 1073 inches squared.
Don't forget to add the units!
The length of rectangle PQRS is expressed as 2x+7. The width of rectangle PQRS is expressed as 3x−4. Which expression describes the area of rectangle PQRS?
A.6x^2
B.6x^2-29x-28
C.6x^2-15
D.6x^2+13x-28
Answer:
[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]
The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The area of a rectangle is given by the formula:
A = l × w, where l is the length and w is the width.
In this case,
The length is 2x + 7 and the width is 3x - 4.
Therefore, the area of the rectangle is:
[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]
Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ3
What is the area of the figure?
7 in.
8 in.
7 in.
8 in.
,
4 in.
16 in.
Answer:
Step-by-step explanation:
50
EN LA CIMA DE UN FARO DE 7 m DE ALTO SE OBSERVA UNA LANCHA CON UN ANGULO DE DEPRESIÓN DE 12 GRADOS. CALCULAR LA DISTANCIA ENTRE LA LANCHA Y EL PIE DEL FARO
Answer:
33 metros
Step-by-step explanation:
Esto puede simplemente asimilarse a un problema de trigonometria simple. El Vemos un faro con una altura de 7 m, observando una lancha a 12°. Se pide calcular la distancia de la lancha al faro, pero desde su base.
En este caso, necesitamos determinar ese lado. Observando la figura adjunta, podrás notar que solamente debemos calcular el cateto adyacente del triangulo formado entre el faro y la lancha y sus distancias. Para hacer eso, solo usamos la siguiente función trigonométrica:
tgθ = cat op / cat ady (1)
De ahí despejamos el cat ady:
cat ady = cat op / tgθ
Reemplazando tenemos:
cat ady = 7 / tg12
cat ady = 32.93 m o solo 33 m.
Espero te sirva
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the boat and the lighthouse is 32.93 meters.
What is Tangent (Tanθ)?
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
Como se da que la altura del faro es de 7 m mientras que el ángulo de depresión es de 12°, por tanto, el ángulo entre el barco y la parte superior del faro también es de 12°.
Ahora, la función tangente de la trigonometría se puede escribir como,
[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distancia entre el faro y el barco}}\\\\\\{\text{Distancia entre el faro y el barco}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distancia entre el faro y el barco}} =32.93\rm\ m[/tex]
Por tanto, la distancia entre el barco y el faro es de 32.93 metros.
In English,
The question is AT THE TOP OF A 7 m HIGH LIGHTHOUSE, A BOAT IS SEEN WITH AN ANGLE OF DEPRESSION OF 12 DEGREES. CALCULATE THE DISTANCE BETWEEN THE BOAT AND THE FOOT OF THE LIGHTHOUSE.
As it is given that the height of the lighthouse is 7 m while the angle of depression is 12°, therefore, the angle between the boat and the top of the lighthouse is also 12°.
Now, the tangent function of the Trigonometry can be written as,
[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distance between the light house and the boat}}\\\\\\{\text{Distance between the light house and the boat}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distance between the light house and the boat}} =32.93\rm\ m[/tex]
Hence, the distance between the boat and the lighthouse is 32.93 meters.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Here is the Math problem.
Answer:
Workup in photo below.
Step-by-step explanation:
Good luck.
pleas helppp!! lol :)
Answer:
Circumference of the circle with a radius of 5 is 31.42
Step-by-step explanation:
Answer:
The 1st one is: 31.4cm
Step-by-step explanation:
1st: 2 x 3.14 x 5 = 31.4