Answers
Answer:
-3/2
Step-by-step explanation:
Parallel lines have equal slopes.
Related Questions
I have a queston can you answer it pls
Answers
Answer:
0.1 gallons per second or 6 gallons per minute
Step-by-step explanation:
Unit rate =measurement/time
Measurement=
42
gallons
Time=
7
42/7=6
Or if you want in seconds, change the mins to seconds. There are 60 seconds in a minute
7
×
60
=
420
seconds
Unit rate =
42
420
=
0.1
gallons per second
2/3(6k-30)+k=100 this is the one I need help
Answers
first factor the expression
second reduce the numbers
third remove parenthesis
fourth collect like terms
fifth move the constant to the right
sixth calculate
seventh divide both sides
eight you have your solution
The value of k = 20.
We have the following expression -
\(\frac{2}{3} (6k-30)+k=100\)
We have to find the value of K.
Find the value of z → \($log(2)^{z} = \pi\).We have -
\($log(2)^{z} = \pi\)
z x log(2) = π
z = \($\frac{\pi }{log\;2}\)
z = 10.43
According to the question, we have -
\(\frac{2}{3} (6k-30)+k=100\)
\(\frac{2}{3}\times 6\)(k - 5) + k = 100
4(k - 5) + k = 100
4k - 20 + k = 100
6k = 120
k = 20
Hence, the value of k = 20
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What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a
vertex of the triangular bases?
A
a parallelogram that is not a rectangle
O a rectangle
O a triangle that must have the same dimensions as the bases
O a triangle that may not have the same dimensions as the bases
Answers
Answer:
a triangle that may not have the same dimensions as the bases
Step-by-step explanation:
The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.
Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States
Answers
Answer:
Step-by-step explanation:
The null and the alternative hypothesis is:
\(H_o: \mu_c \ge \mu_{us}\)
\(H_a : \mu_c < \mu_{us}\)
The t- student test statistics can be computed as:
\(t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}\)
\(t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}\)
t = -2.017
degree of freedom = (n₁ - 1) + (n₂ - 1)
= (100 - 1) + (130 - 1)
= 228
Using the data of t-value and degree of freedom;
The P-value = -0.224
Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)
Conclusion: We reject the null hypothesis since the p-value is less than ∝.
Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.
In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10
Answers
The table can be summarized as follows:
| | Has a dog | Does not have a dog |
|----------|-----------|---------------------|
| Has a cat | 2 | 3 |
| Does not have a cat | 12 | 10 |
To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.
The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.
The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.
So, the probability that a student chosen randomly from the class has a cat is 5/27.
Which of the following numbers has the least number of 1’s in their binary representation? A) BAD(16) B) FED(16) C) CAB(16) D) ACE(16)
Note: the (16) means base 16
Answers
Answer: B
Step-by-step explanation:
Mary has two coupons for a bicycle. Coupon A: 35% off of a $97 bicycle Coupon B: $30 rebate on a $97 bicycle Choose the coupon that gives the lower price. Then fill in the blank with the correct value. Coupon A gives the lower price. The price with coupon A is___ $ less than the price with coupon B. Coupon B gives the lower price. The price with coupon B is ___ $ less than the price with coupon A.
Answers
Answer:
Coupon A is less than B with a difference of $3.95
Step-by-step explanation:
Coupon A: 35% of 97 33.95 and since it is a discount, you take the 35% off the 97 which is 97-33.95=63.05
Coupon B: you have 30 discount, so you just take the 30 off 97, which is 97-30=67
Coupon B has a higher price. to get the difference, you take 63.05 off 67, so 67-63.05=3.95
Which inequality is represented by the graph?
A. y > -2/3x+1
B.y < -2/3x +1
C.y < -3/2x +1
D.y> -3/2x +1
Answers
Answer:C
Step-by-step explanation:
1. What are opposites?
a) Give an example of opposites.
b) Describe a real world situation using opposites.
please make it simple
Answers
Answer:A person or thing that is different from other people or things.
Like me and you we might like different things like I like playing games you dont your the opposite of me.
A real world situation would be looking at maybe plants see how different they look or if they look the same study them and realize one is poison the other is fresh.
Step-by-step explanation:
The ratio of the number of boys to the number of
girls in choir is 6 to 5. There are 70 girls in the choir.
How many boys are in the choir?
Answers
Answer:
48 boys
Step-by-step explanation:
how to find the area of a square whose perimeter is 7 meters
Answers
Answer:
A≈3.06
P Perimeter
7
Using the formulas
A=a2
P=4a
Solving forA
A=1
16P2=1
16·72=3.0625
Answer:
Area=49
Step-by-step explanation:
Area of a square= L× L
perimeter=7
Area of a square=7×7
=49square
therefore, the area if a square whose perimeter is 7 is equal to 49square in meters
One nickel weighs 5 g. Find how many nickels are in 7.0 kg of nickels
Answers
Answer: there are 200 nickels in 1 kilogram of nickels
Step-by-step explanation:
For this case we must take into account the following conversion:
1Kg = 1000 g
Therefore, we can make the following rule of three:
5 grams ---------> 1 nickel
1000 grams ----> x
Clearing x we have:
x = (1000/5) * (1)
x = 200 nickels
let have the following distribution: 1 2 3 4 0.2 0.3 0.1 0.4 find (2x^2 3x) (write it up to first decimal place).
Answers
For the given distribution, the Expectation, E(2X² + 3X) is 28.9
Now here we see that we have the distribution given to us
We need to find
E(2X² + 3X)
Now we know that
E(X) = ∑xp(x)
Hence we get
E(2X² + 3X) = 2[1 X 0.2 + 4 X 0.3 + 9 X 0.2 + 16 X 0.4] + 3[1 X 0.2 + 2 X 0.3 + 3 X 0.2 + 4 X 0.4]
= 2[0.2 + 1.2 + 1.8 + 6.4] + 3[0.2 + 0.6 + 0.6 + 1.6]
= 2 X 9.6 + 3 X 3
= 19.2 + 9
= 28.9
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Complete Question
(image Attached)
Find the sum of the following finite geometric series.
Answers
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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Expression A: 3x + 4
Expression B: 2+ 3x + 2
Which statement can be used to show that these expressions are equivalent?
A. The expressions name the same number regardless of the value
of x.
B. Both expressions involve addition,
C. Each expression includes the term 3x.
D. 3x + 4 can be rewritten as 2 + 3x + 2 using the distributive
property
Answers
Answer:
D.
Step-by-step explanation:
3x + 4 is another way of writing 2 + 3x + 2, if you add the 2's together you get a four (3x + 4).
What is the value of y?
Answers
Answer:
y = 20
Step-by-step explanation:
The measure of angle A is such that the sum of the two congruent base angles and A is 180°.
2(25°) +(3y+70)° = 180°
3y +120 = 180 . . . . . . . . . . . divide by ° and simplify
3y = 60 . . . . . . . . . . . . subtract 120
y = 20 . . . . . . . . . .divide by 3
__
The value of x is 5.
Ethan has saved $180 to buy a bicycle which costs $540. He wants to find out how much more he needs to save to buy bicycle. Which equation when solved would show Ethan the amount of money ne needs to save?
Answers
-180 = -180
X = 360
The area of a triangle is 154 square inches. The base is 14 inches. What is the height in inches? Do not include units in your answer.
Answers
The height of the triangle is, 22 units.
WE know that triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that the area of a triangle is 154 square inches. The base is 14 inches.
Now, We get;
Base = 14 units
Height =h units
We know that;
Area of triangle = 1/2 x base x height
154 = 1/2 x 14 x h
h = 154 / 7
h = 22
Thus, The height is, 22 units.
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3z + 6(2-5) = -48 i need help asap
Answers
Answer:
-10
Step-by-step explanation:
12-30
3z+12-30=-48
3z=-30
z=-10
Find the missing angles.
with solution
Answers
Hello!
y = 88° (opposite are equal)
z = 180° - 128° = 52° (straight angle = 180°)
x = 180° - 140° = 40° (straight angle = 180°)
Answer:
x=40°
y=88°
z=52°
Step-by-step explanation:
Solution Given:
x+140°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for x.
x=180°-140°
x=40°
\(\hrulefill\)
y°=88°
Since the vertically opposite angle is equal.
therefore, y=88°
\(\hrulefill\)
z+128°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for z.
z=180°-128°
z=52°
{(4,1) , (3,2), (2,3), (1,4)Give the domain and range or each relation. Is the relation a function?
Answers
Answer:
dsf
Step-by-step explanation:
A line goes through the points (0, -5) and (-3, -3). Find the slope, and then use the point that is the y-intercept to write the equation of the line in slope-intercept form. y= (2/3)x+ 5 y= -(2/3)x– 5 y= -(8/3)x– 5 y= (8/3)x– 5
Answers
Answer:
y = -(2/3)x - 5
Step-by-step explanation:
y-int = -5
m = rise/run
m = (-5-(-3))/(0-(-3))
m = -(2/3)
therefore,
y = -(2/3)x - 5
A machine depreciate in value at the rate of 10% every year on reducing balance. if the original cost is 20000 and the scrapped value is 13122, how long has the equipment been used?
Answers
Answer: 10 years
Explanation:
The original cost of the machine = 20000
The scrap value of the machine = 13122
Value of the machine = ( 20000 - 13122 ) = 6878
Depreciation of the machine for the first year = ( 6878 * 10 % )
= 687.8
So, the effective life of the machine is = ( 6878 / 687.8 )
= 10 years
Use inductive reasoning to find the next 2 items on the pattern.
2, -4, 8, -16,
Answers
Answer:
3
Step-by-step explanation:
The two figures at right are similar. Give the scale factor, and x and y.
Answers
The scale factor is 1.5. And the value of the variables 'x' and 'y' will be 9 and 10, respectively.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The ratio of the corresponding sides will be constant. Then the scale factor is given as,
SF = 12 / 8
SF = 1.5
The equation is given as,
x / 6 = 12 / 8 = 15 / y
From the first two terms, then we have
x / 6 = 12 / 8
x = 9
From the last two terms, then we have
12 / 8 = 15 / y
y = 10
The scale factor is 1.5. And the value of the variables 'x' and 'y' will be 9 and 10, respectively.
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Martin had 24 5 pounds of grapes left. Which expression shows the pounds of grapes Martin has if he doubles his current amount?
Answers
Answer:
x=2*2 4/5
Step-by-step explanation:
: Martin had 2 4/5 pounds of grapes left.
So x=2*2 4/5
x=2* 14/5
x=28/5
x=5 3/5
The expression shows the pounds of grapes Martin has if he doubles his current amount of grapes. x=2*2 4/5
FOIL or use the box to multiply the polynomials.
10) (x - 3)(x + 1)
11) (x - 4)(x + 6)
12) (x - 7)(x-6)
13) (p - 4)(2p+3)
14) (5x - 1)(x + 7)
15) (x - 4)(x + 4)
16) (2x + 1)(2x + 1)
17) (x - 6)(x+6)
18) (2x - 7)?
19) (x + 1)(2x2 – 5x + 3)
20) (4x2 – 7x + 5)(3x - 1)
Answers
Answer:
Step-by-step explanation:
Please help me?
8 + 12 ÷ ( 4 - 2 )
Answers
Answer:
14
Step-by-step explanation:
Use PEMDAS to start with parantheses and then divide and then add
Answer
Step-by-step explanation:
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
6 m
(5 m
15 m
15 m
Answers
Answer:
195 m
Step-by-step explanation:
Both shapes follow the formula: A = bh
The Big Square:
15 x 15 = 225
The Small Square:
6 x 5 = 30
225 - 30 = 195
for what value of a is x-3 a factor of x^3-4x^2+ax-2a
Answers
Answer:
2x
Step-by-step explanation:
because it's2 so two ok carRy on
The value of a is 9.
What is factor?
A factor of polynomial P(x) is any polynomial which divides evenly into P(x).
How to find the solution for a polynomial?For finding the factor of a polynomial we will perform following steps:
If f(x) is any polynomial then substitute f(x) = 0.Then factorize the given polynomial by splitting the middle term. Then solve for x.According to the given question.
We have a cubic polynomial \(x^{3} -4x^{2} +ax -2a\)
Also, x - 3a is a factor of the given polynomial.
⇒ \(x - 3 = 0\)
⇒\(x = 3\)
⇒ 3 is the one solution of the given cubic polynomial.
If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).
So, substitute the value of x in the given polynomial.
\((3)^{3} -4(3)^{2} + a (3) - 2a = 0\)
⇒\(27 -4(3)^{2} +a(3) -2a=0\)
⇒\(27 - 36 + 3a - 2a= 0\)
⇒\(-9 + a = 0\)
⇒ \(a = 9\)
Therefore, the value of a is 9.
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