Answer:
x = ±4/3
Step-by-step explanation:
9x^2 – 16 = 0
Add 16 to each side
9x^2=16
Divide by 9
x^2 = 16/9
Take the square root of each side
sqrt(x^2) =±sqrt(16/9)
x = ±4/3
Joey is building a frame for a sandbox. The sandbox is going be have the
shape and dimensions below. If the diagonal of the sandbox measures 14
feet, what kind of quadrilateral will the sandbox be? Explain how you know.
Answer:
The quadrilateral would be a rectangle.
explanation:
since opposite sides are equal, the diagonals are bound to equal as well, since the whole point of a diagonal is to go from one point to it's opposite corner.
I hope I helped, And please rate me 5 stars!
Help please I don’t understand help ASAP
Answer:
square root of 66
Step-by-step explanation:
6/x=x/11
x^2=66
X=[tex]\sqrt{x}[/tex]66
x= the square root of 66
Claculate the height (x) of the tree.
Round your answer to the nearest foot and enter your answer
without units.
Answer:
50√3/3
Step-by-step explanation:
30-60-90 triangle
50:x = 2sqrt3 : 2
50*2 =100
100/2sqrt3 = 3
50√
3
Please mark me brainiest..
Geometry Proof: Given: ∠1 ≅ ∠2 ∠3 ≅ ∠4 Prove: M is the midpoint of JK
|∠JOM| = 180° - |∠3| - |∠1| = 180° - |∠4| - |∠2| = |∠KOM|
|∠JOM| ≅ |∠KOM|
|∠1|≅|∠2| ∧ |MO| = |MO| ∧ |∠JOM| ≅ |∠KOM| ⇒
⇒ ΔIMO≡ΔKMO ⇒ |IM| = MK| ⇒ M is the mp of JK
Help asap. I am confused please put the answer
Answer:
17.6706
Step-by-step explanation:
we know that in a rectangle triangle we can apply the Pythagorean theorem
[tex]16^2+7.5^2=x^2[/tex]
so [tex]x^2=256+56.25=312.25\\[/tex]
[tex]x = \sqrt{312.25} = 17.6706[/tex]
Answer:
17.6706
Step-by-step explanation:
Solve for x. x5x+15=1x+3 no solution −3 and 5 −3 5
Answer:
-3
Step-by-step explanation:
5x + 15 = 1x + 3
Add -1x and -15 on both sides.
5x - 1x = 3 - 15
4x = -12
Divide 4 into both sides.
4x/4 = -12/4
x = -3
The solution for the equation is x = -3.
A piano instructor charges students a one time fee for sheet music and an hourly rate for lessons. the graph below shows the total cost for a student who has taken x classes. To increase her number of students, the instructor put a coupon in the local paper offering to waive the one-time fee for new students. What is the value of the coupon
14$
20$
30$
50$
Answer:
Option (2)
Step-by-step explanation:
Relation between fee charged by piano instructor and the lessons has been shown in the graph.
Two points passing through the line are (2, 80) and (4, 140)
Let the one time fee = $b
Hourly charges for the lessons = $x
Equation of the line will be,
y = mx + b
Slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{140-80}{4-2}[/tex]
m = [tex]\frac{60}{2}[/tex]
m = 30
y = 30x + b
For point (2, 80),
80 = 30(2) + b
b = 80 - 60
b = 20
Therefore, one time fee charged by the instructor = $20
Since instructor put a coupon to waive off the one time fee, value of the coupon will be = $20
Option (2) is the answer.
Answer:
I think its $20
Step-by-step explanation:
What is 2/3 divided by 4/5
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5
= 2/3 × 5/4
= (2)(5)/(3)(4)
= 10/12
= 5/6
Step-by-step explanation:
2/3 ÷ 4/5
= 2(5) /3(4)
=10/12
=5/6
Right triangle ABC is reflected over AC, then dilated by a scale factor 2/3 to form triangle DEC. Which statements about the two triangles must be true? Select three options.
Answer:
The answer is "all angle will be same"
Step-by-step explanation:
In the given question choices were missing so, the correct choice can be defined as follows:
Given:
ABC reflected over AC and dilated by a scale factor 2/3 from ΔDEC.
Solution:
[tex]\triangle ABC \sim \triangle DEC \angle B \cong \angle E3DE = 2AB[/tex]
Answer: A, B, D
Step-by-step explanation: Edge2023
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Help!! What is the area?
Answer:
203in²
Step-by-step explanation:
split up the shape into three rectangles
5in × 14in = 70
9in × 7in = 63
5in × 14in = 70
70 + 63 + 70 = 203in²
() = √2-5
f(1) == ?
all positive real
numbers and
>
all real number greater
than or equal to 5
all real numbers
all real numbers
except 8
Answer:
Step-by-step explanation:
1). f(z) = [tex]\sqrt{z-5}[/tex]
The given function 'f' is defined for (z - 5) ≥ 0
z ≥ 5
Therefore, domain of the function will be [5, ∞)
Or "All real numbers greater than or equal to 5"
2). [tex]f(z)=\frac{1}{z-8}[/tex]
Domain: "All real numbers except 8."
Since the given function is not defined for z = 8
3). f(z) = [tex]\sqrt{z}[/tex]
The given function is defined for every real numbers greater and equal to zero.
Domain: "All positive real numbers and 0"
4). f(x) = 8x
This function is defined for all real numbers.
"Domain: All real numbers"
What is 3(x+2)+2(x+2) ?
Answer:
5x +10
Step-by-step explanation:
3(x+2)+2(x+2)
Distribute
3x+6 +2x+4
Combine like terms
5x +10
Answer:
5x+10
simplified if you want: x+2
Step-by-step explanation:
3x+6+2x+4
5x+10
Jorge compró la semana pasada 8 kg de arroz y 10 kg de azúcar pagando S/60, para esta semana compra 20 kg de arroz y 15 kg de azúcar por lo que paga S/126 . Para la siguiente semana Jorge comprará 5 kilo de arroz y 13 de azúcar ,¿cuánto pagará por esta compra?
Answer:
El monto que pagará Jorge por la compra de 5 kilogramos de arroz y 13 kilogramos de azúcar es de S/53.7
Step-by-step explanation:
Denominemos un kilogramo de arroz como R y un kilogramo de azúcar como A, por lo tanto tenemos;
8 · R + 10 · A = 60 .............................. (1)
20 · R + 15 · A = 126 .......................... (2)
Multiplicando la ecuación (1) por 1.5 y restando el resultado de la ecuación (2), tenemos;
20 · R + 15 · A - 1.5 × (8 · R + 10 · A) = 126 - 1.5 × 60 = 36
8 · R = 36
R = 36/8 = S/4.5
Lo que da, de la ecuación (1);
8 · R + 10 · A = 60 = 8 × 4.5 + 10 · A = 60.
10 · A = 60 - 8 × 4.5 = 24
A = 24/10 = 2.4 = S/2.4
Por lo tanto, 5 kilogramos de arroz y 13 kilogramos de azúcar costarán
5 × 4.5 + 13 × 2.4 = S / 53.7.
El monto que Jorge pagará por la compra de 5 kilogramos de arroz y 13 kilogramos de azúcar = S/53.7.
Rod picks apples at the rate of 12 apples every minute. How many apples would apples would he pick in 31 minutes?
Please I need help with this ASAP..Thanks
Answer:
c
Step-by-step explanation:
bruh
HELP ME PLSSSSSsss Solve the following inequality: 5|2x + 4| > -10? Would it be all real numbers....
Answer:
all real numbers
Step-by-step explanation:
5|2x + 4| > -10
Divide by 5
5/5|2x + 4| > -10/5
|2x + 4| > -2
An absolute value is always greater than a negative number so the solution is all real numbers
Every integer is a whole number
Please select the best answer from the choices provided
T
F
Answer:
This is true.
Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?
Answer:
$2,400
Step-by-step explanation:
Ken intends to start a savings account
10% = leisure spending
This means 90% = Expenses for school
Let us represent the amount he must save as : x
Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:
90/100 × x = $2,160
Cross Multiply
90x = $2,160 × 100
x = ($2,160 × 100) ÷ 90
x =$2,400
Therefore, the amount Ken has to earn to have the amount needed for school is $2,400
the diameter of a circle is 14in. Find its area in terms of pie(urgent)
The area of a circle is equal to:
[tex]\pi \times {r}^{2} [/tex]
r = 1/2 the diameter
1/2 of 14 is 7
7 squared is 49
The area is 49π
20 points!!! is this right???
Answer:
do you need help?
Step-by-step explanation:
what is the question
Jimmy spent 55 minutes on solving 11 math questions. If it took him the same amount of time to solve each question how long would it take to solve questions?
I swear i dont know math
Answer:
B. [tex]y=-7[/tex]
Step-by-step explanation:
[tex]y^{3} =-343\\\\\sqrt[3]{y^{3} } =\sqrt[3]{-343} \\\\\ y=-7[/tex]
The answer that fits this is B. [tex]y=-7[/tex]
Answer:
B) y = -7
Step-by-step explanation:
y^3= y*y*y
-7*-7*-7= -343
Thus, it is B
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is
designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.
Assume that the groups consist of 16 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 16 births.
The value of the mean is u =
(Type an integer or a decimal. Do not round.)
Answer:
The found values are:
μ = 8
σ = 2
Step-by-step explanation:
Following data is given in the question:
p = 0.5
n = 16
Consider that it follows binomial distribution:
For binomial distribution, the mean is the product or probability 'p' and and the sample size 'n' :
μ = p · n
μ = 0.5 · 16
μ = 8
For binomial distribution, the standard deviation is the square root of product of sample size 'n' and the probabilities 'p' and 'q'.
σ = √(n·p·q)
where q = 1 - p = 1 - 0.5 = 0.5
σ = √(16 · 0.5 · 0.5)
σ = √4
σ = 2
How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution? 11 L 15 L 25 L
10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.
Adding x L of pure water dilutes the solution to a concentration of 10%, such that
(2.5 L)/(10 L + x L) = 0.10
Solve for x :
2.5 = 0.10 * (10 + x)
2.5 = 1 + 0.10x
1.5 = 0.10x
15 = x
so 15 L of pure water are needed.
(01.04 MC)
What is the sign of the product (-5)(-2)(-7)(-6)?
A. Positive, because the products (-5)(-2) and (-7)(-6) are negative and the product of two negative numbers is positive
B Positive, because the products (-5)(-2) and (-7)(-6) are positive and the product of two positive numbers is positive
C Negative, because the products (-5)(-2) and (-7)(-6) are negative and the product of two negative numbers is negative
D Negative, because the products (-5)(-2) and (-7)(-6) are positive and the product of two positive numbers is negative
Answer:
B Positive, because the products (-5)(-2) and (-7)(-6) are positive and the product of two positive numbers is positive
Step-by-step explanation:
(-5)(-2)(-7)(-6)
Negative times a negative is positive
+ (-7)(-6)
Negative times a negative is positive
+ * +
Positive times a positive is positive
Answer:
the correct answer is
Step-by-step explanation:
B
Can anyone help. Thanks
Answer:
Option C
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
simplify the expression (i attached the picture of it)
Answer: 2xy * (√x - √y)
Step-by-step explanation:
2√x^3y^2 - 2√x^2y3
2√x^3√y^2 - 2√x^2√y^3
2√x^3y - 2x√y^3
2(√x^3y - x√y^3)
2(x√xy - xy√y)
2(xy√x - xy√y)
Answer : 2xy * (√x - √y)
In an AP the seventh term is 38 and the twelfth term is 63. What is the sum of the first twenty terms?
Answer: 1110
Step-by-step explanation:
For an arithmetic progression, the nth term is gotten by using the formula:
= a + (n-1)d
Therefore,
7th term = a + 6d = 38 ..... equation i
12 term = a + 11d = 63 ...... equation ii
Subtract equation i from ii
(a + 6d) - (a + 11d) = 38 - 63
-5d = -25
d = 25/5
d = 5
Since d = 5
From a + 6d = 38
a = 38 - 6d
a = 38 - (6×5)
a = 38 - 30
a = 8
The sum of the first 20 terms will be:
= n/2[2a + (n-1)d]
= 20/2[(2×8) + (20-1)5]
= 10[16+(19 × 5)]
= 10(16+95)
= 10(111)
= 1110
The value for v10 is approximately between 3 an
Approximate further to find the values to the tenth
place that v10 is between
as a 10 ch
a =
b =
Answer:
√10 is between 3 and 4
Step-by-step explanation:
√9 = 3
√16 = 4
√10 is between 3 and 4, but closer to 3
√10 ≈ 3.16228
Answer:
one is 3.1 two is 3.2
Step-by-step explanation:
