Answer:
Step-by-step explanation:
- 8x + 44 ≥ 60
Subtract 44 from both sides
- 8x + 44 - 44 ≥ 60 - 44
- 8x ≥ 16
Divide both sides by -8 and flip the inequality sign
-8x/-8 ≤ 16/-8
x ≤ -2
x = { ......... -4,-3,-2}
2) -4x + 50 < 58
Subtract 50from both sides
-4x + 50 -50 < 58- 50
-4x < 8
Divide both sides by -4 and flip the inequality sign
-4x/-4 > 8/-4
x > -2
x= {-1, 0 , 1 , 2....... }
Answer:
1. [tex]x \leqslant - 2[/tex] 2. [tex]x \: > 2[/tex]Step-by-step explanation:
1. [tex] - 8x + 44 \geqslant 60[/tex]
Move constant to R.H.S and change its sign
[tex] - 8x \geqslant 66 - 44[/tex]
Subtract the numbers
[tex] - 8x \geqslant 16[/tex]
Divide both sides of the inequality by -8 and flip the inequality sign
[tex]x \leqslant - 2[/tex]
2. [tex] - 4x + 50 < 58[/tex]
Move constant to the R.H.S and change its sign
[tex] - 4x < 58 - 50[/tex]
Subtract the numbers
[tex] - 4x < 8[/tex]
Divide both sides of the inequality by - 4 and flip the inequality sign
[tex]x > - 2[/tex]
Hope this helps...
Best regards!!
marcus receives an inheritance of $13,000. he decides to invest this money in a 10-year certificate of deposit (CD) that pays 3.0% interest compounded monthly. how much money will marcus receive when he redeems the CD at the end of 10 years?
Answer:
Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years
Step-by-step explanation:
Principal(p)=$13,000
Rate(r)=3.0%
Period(n)=12 months
Time(t)=10 years
A=p(1+r/n)^nt
=13,000(1+0.03/12)^12*10
=13,000(1+0.0025)^120
=13,000(1.0025)^120
=13,000(1.3494)
=17,542.2
A=$17,542.2
Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years
JOJO help me I can't work good
Answer:
C. 46 degrees
Step-by-step explanation:
In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.
Answer:
C. 46°
Step-by-step explanation:
When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.
Select the correct answer.
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent
Answer:
c
Step-by-step explanation:
Answer:
Both a relation and a function
Step-by-step explanation:
Replicates itself every 14 minutes, which is exponential function
Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Which statement describes how the location of segment EG affects the area of EFGH?
The area of EFGH is One-fourth of the area of the rectangle if E and G are not midpoints.
The area of EFGH is One-half of the area of the rectangle only if E and G are midpoints.
The area of EFGH is always One-half of the area of the rectangle.
The area of EFGH is always One-fourth of the area of the rectangle.
Answer:
The area of EFGH is always One-half of the area of the rectangle.Step-by-step explanation:
If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.
So the area of the rectangle: [tex]A_{rectangle}=EG\cdot FH[/tex]
FH ⊥ EG so the area of quadrangle EFGH:
[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]
no matter the location of segment EG
The area of EFGH is always One-half of the area of the rectangle.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have given that;
the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.
The kite consists of 2 triangle that are EFG and EHG.
Now,
In a triangle EFG is,
= 1/2 x EG x h......(1)
where h is the height from F to EG
Also the area of EHG:
= 1/2 x EG x h₁
where is the height from H to EG
We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.
Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁
Also, The area of a rectangle is rectangle length × rectangle width.
Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.
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Tanesha can make 3 scrapbook albums in 2 hours. How long will it take her for to make 105 albums?
Answer: 70 hours
Step-by-step explanation:
First do 105/3(35) Then multiply 35*2(70)
NEED ANSWER ASAP What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
Answer:
(A) 1
Step-by-step explanation:
We know that the formula is x = (m/m+n) (x2-x1) + x1.
But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.
The reason everyone else was getting 4 was because they were using this.
They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.
However, the correct equation (because it is supposed to be F to D) is
x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.
I also just took the quiz and got 100%.
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Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes through the point (4, 4) on the blue line. Explain how you determined your answer.
Answer:
y = 0.5x + 2
Step-by-step explanation:
the y-intercept is 2, as shown in the graph
the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).
using the slope formula of rise / run, you get 1/2, which is equal to 0.5
Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x + 1)2 – 7 g(x) = 4(x – 3)2 + 1 g(x) = –3(x – 4)2 – 6 g(x) = 8(x – 3)2 – 5
Answer:
[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]
Step-by-step explanation:
Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:
[tex]y-k = C\cdot (x-h)^{2}[/tex]
[tex]y = C \cdot (x-h)^{2} + k[/tex]
Where:
[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.
[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).
After reading the statement of the problem, the following conclusion are found:
1) New function must have an absolute minimum: [tex]C > 0[/tex]
2) Transformation to the right: [tex]h > 0[/tex].
3) Transformation downwards: [tex]k < 0[/tex]
Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].
Answer:
Choice D
Step-by-step explanation:
Took the test
(2*6)^3/2 in simplest form
Answer:
[tex]\sqrt{1728}[/tex]
Step-by-step explanation:
=> [tex](2*6)^{3/2}[/tex]
=> [tex](12)^{3/2}[/tex]
=> [tex]1728 ^{1/2}[/tex]
=> [tex]\sqrt{1728}[/tex]
Please answer if in two minutes
Answer:
y = 7
z = 1
Step-by-step explanation:
If the triangles are congruent
AB = QR
y+ 34 = 41
Subtract 34 from each side
y = 41-34
y = 7
and QP = BC
38 = z+37
Subtract 37 from each side
38-37 = z
1 =z
Answer:
y = 7
z = 1
Step-by-step explanation:
The triangles are congruent, the length of the sides are equal.
y + 34 = 41
y = 41 - 34
y = 7
z + 37 = 38
z = 38 - 37
z = 1
Please help ASAP ‼️‼️‼️‼️‼️‼️
Answer:
B. [tex]\bold{g(x)=(\frac12x)^2}[/tex]Step-by-step explanation:
vertex of g(x) is (0, 0), so:
[tex]g(x)=a(x-0)^2+0\\\\g(x)=ax^2 \qquad and\qquad (2,\,1)\in g(x)\\\\1=a\cdot2^2\\1=4a\\a=\frac14\\\\g(x)=\frac14x^2=(\frac12x)^2[/tex]
Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8, 16, x, y GCF: 4x Factored expression: 4 x (0 + 4 y) Which best describes the accuracy of Monique's solution? Monique's solution is accurate. Monique made an error when listing the factors, which affected the GCF and the factored expression. Monique made an error when determining the GCF from her list of factors. Monique made an error when writing the factored expression.
Answer:
Monique made an error when writing the factored expression.
Step-by-step explanation:
The factorisation of the expression 4x+16xy is 4x(1+4y).
The given expression is 4x+16xy.
What is factorisation?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now, 4x=2×2×x and 16xy=2×2×2×2×x×y
so, the GCF of terms 4x.
Now, 4x(4x/4x+16xy/4x)=4x(1+4y)
Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).
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Describe in words the end behavior of f(x)=-5x^4
Answer:
see below
Step-by-steK and P are real numbers and K is called the coefficient first find the power of the providers function is even or odd the functions power is for which is even then find the constant coefficient is negative or positive functions constant is -5 which is negative
can someone help me with the question, please.
Answer:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Step-by-step explanation:
Angle x and the sides 13 and 22 cm are related through the sine function as follows:
opposite side 13 cm
sin x = ---------------------- = ------------- = 0.591
hypotenuse 22 cm
Now find x using the inverse sine function:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Answer:
36.22°Solution,
Perpendicular = AB
hypotenuse = AC
we know that,
[tex]sin \: theta = \frac{perpendicular}{hypotenuse} [/tex]
[tex]sin \: x \: = \frac{ab}{ac} [/tex]
[tex]x = {sin}^{ - 1} \frac{13}{22} [/tex]
[tex]x = 36.22[/tex]
Hope this helps...
Use the graph of the polynomial function to find the factored form of the related
polynomial. Assume it has no constant factor.
A. (x + 2)(x+2)
B. x(x-2)
C. x(x + 2)
D. (x-2)(x + 2)
Answer:
d
Step-by-step explanation:
the answer would be (x-2)(x+2)
Determine the slope of the line that contains the points of (-9,5) and (6,-5)
Answer:
[tex]\bold{m=-\dfrac23}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]
Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction? Tinh’s reduction is incorrect; he should have only divided the side lengths by 3. Tinh’s reduction is incorrect; he should have only divided the angle measures by 3. Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead. Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.
Tinh's reduction is incorrect. He should only divided the side lengths by 3.
Dividing the angle measures by 3 would make it into a completely different triangle.
Dividing only the side lengths will make the triangles slightly alike.
The answer is A.
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- Elisha
A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a dimand?
Answer:
The probability of choosing a heart, P(Heart) = 13/52 = 0.25
Step-by-step explanation:
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was per hour. The water output rate for the Perry family's sprinkler was per hour. The families used their sprinklers for a combined total of hours, resulting in a total water output of . How long was each sprinkler used
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used
Answer:
Hours of use of sprinkler by Lewis family is 30 hours.
Hours of use of sprinkler by Perry family is 35 hours.
Step-by-step explanation:
Let W = hours of use by Lewis family
65 - W = hours of use by Perry family
Then;
15W + 40*(65 - W) = 1850
15W + 2600 - 40W = 1850
(15 - 40)W = 1850 - 2600
-25W = −750
W = 750/25 = 30
Therefore;
W = 30
65 - W = 65 - 30 = 35
Hence,
Hours of use by Lewis family is 30 hours.
Hours of use by Perry family is 35 hours.
Please answer this if you can! <3 (NO EXPLANATION REQUIRED!)
If Z1 = 12 + 6݅ and Z2 = a + bi (where a, b ∈ R) are two complex number, we can say that the product Z1Z2is imaginary A) If and only if ܽ = ܾ = 0 B) If b = 2a C) If a = −2b D) for each value of a and b
Answer:
A) if and only if a = 0
Step-by-step explanation:
Since Z1 = 12 + 6݅ and Z2 = a + bi , then the product, Z1Z2 = (12 + 6)(a + bi)
Z1Z2 = (12 + 6)(a + bi)
Expanding the brackets, we have
Z1Z2 = 12a + 12bi + 6a + 6bi
Collecting like terms, we have
Z1Z2 = 12a + 6a + 12bi +6bi
Z1Z2 = 12a + 6a + (12b +6b)i
Simplifying, we have
Z1Z2 = 18a + 18bi
For Z1Z2 to be imaginary, then the real part must be zero.
That is 18a = 0 ⇒ a = 0
So, Z1Z2 is imaginary if and only if a = 0
The whole number which is not a natural number is
Answer:
All negative numbers
Step-by-step explanation:
They are not whole numbers
Answer:
0
Step-by-step explanation:
Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0
State if a triangle is acute ,obtuse, or right
Answer:
It is an acute angle due to the angle formed at the vertex being less than 90 degrees
Answer:
acute triangle
Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest
Please show your work! *grade 9 work*
Answer:
c = 6√2 cm
Step-by-step explanation:
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
108 = c²
c = ± √108 = ± 6√2
Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.
Answer:
72 cm or 6 square root of 2
Step-by-step explanation:
a^2+b^2=c^2
6^2+6^2=c^2
36+36=72
c= 72 cm. or 6 square root of 2
hope this helps.
Find the solution set. 8x^2-2x-3=0 separate the two values with with a comma.
Answer:
x = -1/2, 3/4
Step-by-step explanation:
Step 1: Factor
(2x + 1)(4x - 3) = 0
Step 2: Find roots
2x + 1 = 0
2x = -1
x = -1/2
4x - 3 = 0
4x = 3
x = 3/4
Does anyone know the answer to this?
Answer:
B
Step-by-step explanation:
X is the domain.
The function comes from -∞ and goes to ∞
So B is the answer.
Carlos' hourly wage increased by 30% this year. If his previous salary was $20 an hour, what is his new hourly wage?
Answer:
$26.
Step-by-step explanation:
His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:
[tex]20+20(.3)=20(1.3)=26[/tex]
His new salary is $26.
Note: For the second step, I used the distributive property.
[tex]20(1)+20(.3)=20(1+.3)=20(1.3)[/tex]
help quick plz must get this correct I will make u a brainllest
Answer:
CPCTC
Step-by-step explanation:
You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!
William purchase a new car the total price for he will pay for the car including interest in 17,880 if he splits his car payment over 60 months how much will he pay each month
Answer:
The Amount amount he pays each month is 298
Step-by-step explanation:
Given:
Total amount of new car (including interest) = 17,880
Payment is splited over 60 months i.e time = 60 months
Required:
How much will be paid each month
To find the amount to be paid each month use the formula:
Monthly payment = Total amount / time
[tex] = \frac{17880}{60} = 298 [/tex]
Therefore, the amount William pays each month is 298
The avarage monthly salary of m male employees and f female employees of a company is 2000 if the avarage monthly salary of the male employees is (b+200) find the avarage monthly salary of the female employees
Answer:
[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]
Step-by-step explanation:
Given
Number of male = m
Number of female = f
Average salary = 2000
Average Salary of male = b + 200
Required
Average salary of female
Average is calculated as follows;
[tex]Average = \frac{Total\ Salary}{Staffs}[/tex]
For the whole company;
The formula becomes
[tex]2000 = \frac{Total\ Salary}{m + f}[/tex]
Multiply both sides by m + f
[tex]2000(m+f) = Total\ Salary[/tex]
The total salary is the sum of the male salary and female salary;
In other words;
Total Salary = Male Salary + Female Salary;
The above expression becomes
[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex] --------- equation 1
For the male staffs;
[tex]Average = \frac{Male\ Salary}{Male\ Staffs}[/tex]
[tex]b + 200 = \frac{Male\ Salary}{m}[/tex]
Multiply both sides by m
[tex](b+200)m = Male\ Salary[/tex]
Substitute (b + 200)m for Male Salary in equation 1
[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex]
[tex]2000(m+f) = (b + 200)m + Female\ Salary[/tex]
Subtract both sides by (b + 200)m
[tex]2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary[/tex]
[tex]2000(m+f) - (b + 200)m = Female\ Salary[/tex]
At this point, the average monthly salary of female staffs can be calculated;
[tex]Average = \frac{Female\ Salary}{Female\ Staffs}[/tex]
[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]