Answer:
x=0 or x=3 or x= -3⅘
Step-by-step explanation:
Please see attached picture for full solution.
Another way to solve it is to factorise x out from the equation from the beginning. This would leave you with
x(5x² +4x -57x)=0
Then you can factorise the quadratic equation.
x(x -3)(5x +19)= 0
And solve it just like we did above.
x=0 or x-3=0 or 5x+19=0
x=3 or 5x= -19
x= -3⅘
In the picture, I used synthetic division but long division works too!
what is 42 + 7x + 12x – 8 i really need help
Solution,
42+7x+12x-8
Combine like terms,
= 7x+12x+42-8
Simplify
=19x+34
hope it helps
Good luck on your assignment
Answer:
36+19x
Step-by-step explanation:
Ok, first, combine like terms, so the two values with X.
42 + 7x + 12x – 8
42 +19x – 8
Now, we combine the two values that have no X
42+19x– 8 Imagine there is a plus sign in front of the 42 because it's positive.
So 42-8=36
36+19x
That's your solution, that's the most this can be simplified.
The graph of F(x), shown below, has the same shape as the graph of
G(X) = x2, but it is shifted up 3 units and to the right 1 unit. What is its
equation?
Answer:
The answer is A.
Step-by-step explanation:
First, recall the vertex form of a quadratic equation: [tex]f(x)=a(x-h)^2+k[/tex], where [tex]h[/tex] represents the horizontal change and [tex]k[/tex] represents the vertical change.
The original equation is [tex]g(x)=x^2[/tex], or, in other words, [tex]g(x)=1(x-0)^2+0[/tex].
We are told that the graph is shifted up 3 and right 1. Thus, both values are positive (right and up). Note that up 3 corresponds to a positive vertical change of 3 while right 1 represents a positive horizontal change of 1.
Thus, put these back into the equation in place of [tex]h[/tex] and [tex]k[/tex].
We have:
[tex]f(x)=1(x-(+1))^2+(+3)[/tex]
Or, simplified:
[tex]f(x)=(x-1)^2+3[/tex]
The answer is A.
Please answer this correctly
Answer:
63.2 = y
Step-by-step explanation:
The perimeter is the sum of all the sides
P = 7.8+ y+37.6 + y
171.8 = 7.8+ y+37.6 + y
Combine like terms
171.8 = 45.4 + 2y
Subtract 45.4 from both sides
171.8-45.4 = 45.4 + 2y -45.4
126.4 = 2y
Divide each side by 2
126.4/2 = 2y/2
63.2 = y
Answer if you can and help other people out
Solution,
radius=21 cm
Circumference of circle=2 pi r
=2*3.142*21
=131.964 cm
hope it helps
Good luck on your assignment
ill give you brainiest if your right !!!!
Answer:
12m - 4
☆ putting the value of m in the above formula
12 × 4 - 4
= 48 - 4
= 44
6r - 4
☆ Putting the value of r in the above formula
6 × 6 - 4
= 36 - 4
= 32
If the frame of a Ferris wheel is a circle with a 10 meter diameter, what is the circumference of this circle?
Answer:
C = 10π
Step-by-step explanation:
C = Dπ
D = 10
C = 10π
Answer:
see below
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 10 pi m
We can approximate pi by 3.14
C = 3.14 * 10
C =31.4m
or we can approximate pi by using the pi button
C =31.41592654m
Solve for the value of x
Myra wants to save at least $500 by the end of her summer vacation. She currently has $350 saved. She can earn $25 cutting a lawn in her neighborhood. Myra solves an inequality to determine the least number of lawns, n, she must cut to reach her goal.
What number is the minimum number of lawns Myra needs to mow to meet her goal?
Answer:
6 ≤ b.
(6).
Step-by-step explanation:
So, we are given in the question that the amount that Myra wants to say is $500 at the end of her summer vacation and she has saved up to $350. Thus, it remain ($500 - $350 = $150) for completion.
Also, "She can earn $25 cutting a lawn in her neighborhood."
Therefore, the total amount of money she wants to save = a = 500. Then,
Total amount of money, a = 350 + 25b.
500 = 350 + 25b.
=> 500 ≤ 350 + 25b.
Note that the ' =' sign has changed to '≤' sign since she wants that amount(at least). Also, the question specified that she used inequality.
Hence, the amount remaining for it to complete is $150. Therefore;
150 ≤ 25b.
6 ≤ b.
Thus, Myra will have to mow at least 6 lawns
Answer:
6
Step-by-step explanation:
Took the quiz on edge!
what is the value of the expression {4×[6+(18-7)]}÷1/3
Answer:
{4*[6+(18-7)] } ÷1/3
{4*[6+18+7] }÷1/3
{24+72+28}÷1/3
{124}÷1/3
124*3/1
372/1=372
A rectangle measures 9 feet by 6 feet. What is the measure of the diagonal? Round your answer to the nearest tenth.
Answer:
~10.8 (ft)
Step-by-step explanation:
Apply the Pythagorean theorem, you can work out the measure of diagonal.
[tex]Diagonal = \sqrt{9^{2}+6^{2} } =\sqrt{81 + 36} =\sqrt{117} =~10.8(ft)[/tex]
The measure of the diagonal of a rectangle is 10.8 feet.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, a rectangle measures 9 feet by 6 feet.
Let the length of diagonal be x.
x²=9²+6²
x²=81+36
x²=117
x=√117
x=10.8 feet
Therefore, the measure of the diagonal of a rectangle is 10.8 feet.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ3
Please answer this correctly
Answer:
50 km
Step-by-step explanation:
As the figures are given similar ,
56/v = 84/75
v = 56 × 75/84
v = 50 km
Answer:
v = 50
Step-by-step explanation:
The trapezoids are similar, so set up a proportion like so:
[tex]\frac{56}{v} =\frac{84}{75}[/tex]
→Cross multiply:
[tex]\frac{4200}{84v}[/tex]
→Divide 4200 by 84:
v = 50
Which is the best buy?
12 tins of fish at K7.80 or 6 tins of fish at K4.20?
Divide price by quantity of each and compare:
7.80 / 12 = o.65 per tin
4.20 / 6 = 0.70 per tin
12 for 7.80 is less per tin, so is the Best Buy.
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t, y = e−4t, z = 5t − t5; (0, 1, 0) x(t), y(t), z(t) = t,1−4t,5t Illustrate by graphing both the curve and the tangent line on a common screen.
Answer:
Step-by-step explanation:
At the point (0, 1,0) t = 0
Find the tangent vector:
[tex]\frac{dx}{dt}= 1[/tex]
[tex]\frac{dy}{dt}= -4e^{-4t}[/tex]
[tex]\frac{dz}{dt}=5-5t^4[/tex]
The tangent vector for all points [tex]\vec v(t)[/tex] is
[tex]\vec v(t) = \hat {i}-4e^{-4t}\hat{j}+(5-5t^4)\hat{k}[/tex]
[tex]\rightarrow \vec v (0)= \hat{i}-4\hat{j}[/tex]
The vector equation of the tangent line is
[tex](x,y,z) = (0,1,0)+s(\hat{i}-4\hat{j})[/tex]
The parametric equation for this line are
[tex]x= s[/tex]
[tex]y=1-4s[/tex]
[tex]z=0[/tex]
Parametric equations for the tangent line to the curve with the given parametric equations at the specified point are
x=s
y=1-4s
z=0
What is the parametric equation?In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.
At the point (0, 1,0) t = 0
Find the tangent vector:
[tex]\dfrac{dx}{dt}=1[/tex]
[tex]\dfrac{dy}{dt}=-4e^{-4t}[/tex]
[tex]\dfrac{dz}{dt}=5-5t^4[/tex]
The tangent vector for all points is
[tex]v(t)=i-4e^{-4t}j+(5-5t^4)k[/tex]
[tex]v(0)=i-4j[/tex]
The vector equation of the tangent line is
[tex](x,y,z)=(0,1,0)+s(i-4j)[/tex]
The parametric equation for this line is
[tex]x=s\\\\y=1-4s\\\\z=0[/tex]
To know more about parametric equations follow
https://brainly.com/question/51019
1. Michel buys a leash for his dog. The leash is 6 ft 3 inches. How long, in inches, is the leash?(1 ft = 12 inches)
A) 48 inches
B) 51 inches
C) 72 inches
D) 75 inches
2. What is the area of a triangular garden with base of 6 ft and a height of 9 ft? (A = 1/2BH)
A) 27 square feet
B) 48 square feet
C) 54 square feet
D) 24 square feet
Answer:
1. D) 75 inches
2. A) 27 square feet
Step-by-step explanation:
1. You need to convert 6 feet to inches. In one foot, there are 12 inches. Multiply 6 by 12 to find the number of inches in 6 feet. Add 3 inches to the product to find the total number of inches.
6 × 12 = 72
72 + 3 = 75
You will have 75 inches in total.
2. Use the formula to solve. You are given the base and the height already. Simply plug in and solve.
A = 1/2BH
A = 1/2(6)(9)
A = 3(9)
A = 27 ft²
The area is 27 ft².
Answer:
Step-by-step explanation:
Please answer this correctly
Answer:
6 cm^2
Solution,
Volume of cube=1 cm^3
Volume of cube=l^3
or,1=(l)^3
or,l=1*1*1
length=2 cm
Again,
Surface area of cube= 6(a)^2
=6*(1)^2
=6*1
=6 cm^2
hope it helps
Good luck on your assignment
Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the probability that all selected components function properly?
Answer:
66.67% probability that all selected components function properly
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the components are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Desired outcomes:
2 components which function properly, from a set of 5. So
[tex]D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10[/tex]
Total outcomes:
2 components, from a set of 6. So
[tex]T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{10}{15} = 0.6667[/tex]
66.67% probability that all selected components function properly
(03.04) What is the vertex of the graph of y = −4(x + 2)2 + 5? (1 point) (2, 5) (−2, 5) (5, −2) (5, 2)
Answer:
(-2, 5)
Step-by-step explanation:
The form you're trying to match is the vertex form of the equation of a parabola:
y = a(x -h)^2 +k . . . . . . . vertex (h, k)
You have ...
y = -4(x +2)^2 +5
Comparing forms, you see that a=-4, h=-2, k=5.
Then the vertex (h, k) is (-2, 5).
What’s the correct answer for this?
Answer:
BC = 67
Step-by-step explanation:
Since both tangents are originating from a single point, they are equal, rest in the attached file
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.
Site I Site II Site III Site IV
16 19 30 19
25 7 20 24
6 33 10 13
24 2 47 34
14 21 11
15 12
Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance.
Answer:
Step-by-step explanation:
Hello!
The objective is to test if the population mean of three-circle red-on-white sheds is equal to the four excavation sites.
To compare the population means you have to apply an ANOVA. For this test the variable of interest is
X: number of three-circle red-on-white sheds.
There is only one factor: "Site" with four treatments "I, II, III; IV"
H₀: μ₁= μ₂= μ₃= μ₄
H₁: At least one population mean is different.
α: 0.05
[tex]F= \frac{MS_{Treatment}}{MS_{Error}} ~~F_{K-1;N-K}[/tex]
Df treatments: k-1= 4-1= 3 (k= nº of treatments)
Df errors: N-K= 21-4= 17 (N= total observations for all treatments)
[tex]F_{H_0}= \frac{102.72}{117.08}= 0.88[/tex]
p-value: 0.4723
Using the p-value approach the decision rule is:
p-value ≤ α, reject the null hypothesis.
p-value > α, do not reject the null hypothesis.
The p-value is greater than the level of significance, the decision is to reject the null hypothesis.
Using a 5% significance level, there is not significant evidence to reject the null hypothesis. Then you can conclude that the population mean three-circle red-on-white sherd count is equal to all the excavation sites.
I hope this helps!
The cost of 12 pairs of shoes is $960. what is the cost of 1 pair of shoes?
Answer:
$80 for 1 pair of shoes
divide $960 by 12
Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water is this per hour? (Round your answer to the nearest whole number.)
Answer:
16 cubic feet per hour
Step-by-step explanation:
We want to convert from cubic inch per minute to cubic feet per hour,
We can use the standard conversion rate:
1 cubic inch per minute = 0.0347222 cubic feet per hour
=> 462 cubic inch per minute = 462 * 0.0347222 = 16.04 cubic feet per hour
Approximating to whole number, it is 16 cubic feet per hour.
Answer: Option 16 cubic feet
Step-by-step explanation:
If 24 tomatoes cost $3.55 how much does 6 tomatoes cost?
Will mark brainlest for correct answer!
Answer:
0.89
Step-by-step explanation:
First, let’s find out what one tomato costs. To do this, we need to find the unit rate.
To find the unit rate, divide the cost by the number of tomatoes.
cost/number of tomatoes
It costs $3.55 for 24 tomatoes.
cost=3.55
number of tomatoes=24
Substitute these values in.
3.55/24
0.147916666666667
Each tomato costs $0.147916666666667
Now, we have to find out what 6 tomatoes cost.
Multiply the number of tomatoes by the cost of one tomato
number of tomatoes * cost of one
number of tomatoes=6
cost of one= 0.147916666666667
Substitute these values in.
6* 0.147916666666667
0.8875
Round to the nearest cent or hundredth.
The 7 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.
0.89
6 tomatoes will cost about 0.89.
How do you write 345,000,000,000 in scientific notation
Answer:
[tex] 3.45 \times {10}^{11} [/tex]
Step-by-step Explanation:
[tex]345,000,000,000 = 3.45 \times {10}^{11} \\ [/tex]
A rectangular board is 1.5 meters long and 1.2 meters wide. What is the area of the board in square millimeters?
1 meter = 1000mm
Convert the dimensions to mm:
1.5 x 1000 = 1500 mm
1.2 x1000 = 1200 mm
Area = length x width
Area = 1500 x 1200 = 1,800,000 square mm
What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?
A.
In 4,231, the value of the digit 3 is 110 the value of the digit 3 in 3,421.
B.
In 4,231, the value of the digit 3 is 10 times the value of the digit 3 in 3,421.
C.
In 4,231, the value of the digit 3 is 1100 the value of the digit 3 in 3,421.
D.
In 4,231, the value of the digit 3 is 100 times the value of the digit 3 in 3,421.
Answer:
A.
In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.
Step-by-step explanation:
We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.
So to get the actual division factor, let's take 3300 and divide it by 30,
3300/30 = 110
So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421
Answer: C In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421
Step-by-step explanation:
3,000 divided by 30 equals 100
the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer.
Answer:
Old adult
Step-by-step explanation:
Because about eighty percent of adult suffer from blood pressure.
Answer with explanation.
Answer:
D
Step-by-step explanation:
Write the following product in scientific notation: (12.3 × 10^8)(1.06 × 10^−7).
Answer:
[tex] 1.3038 \times {10}^{2} [/tex]
Step-by-step explanation:
[tex] (12.3\times 10^8) (1.06\times 10^{-7})\\ = 12.3 \times 1.06 \times {10}^{8} \times {10}^{ - 7} \\ = 13.038 \times {10}^{8 - 7} \\ = 13.038 \times {10}^{1} \\ = 1.3038 \times {10}^{2} [/tex]
Answer:
[tex]1,3038 . 10^{2}[/tex]
Step-by-step explanation:
(12.3 × 10^8)(1.06 × 10^−7)
12.3 × 10^8 × 1.06 × 10^−7
12.3 × 1.06 × 10^8 × 10^−7
Rule : [tex]a^{b} . a^{c} = a^{b + c}[/tex]10^8 × 10^−7 = 10^(8 -7) = 10^1
12.3 × 1.06 × 10^8 × 10^−7 = 12.3 × 1.06 × 10^1
12.3 × 1.06 =13.038
13.038 × 10^1 = 1,3038 × 10^2
Hope this helps ^-^
Calculate each probability
given that P(A) = 0.2, P(B)
= 0.8, and A & B are
independent.
Complete question:
Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.
a) compute P(A and B)
b) If P(A|B) = 0.7, compute P(A and B).
Answer:
(a) P(A and B) = 0.16
(b) P(A and B) = 0.56
Step-by-step explanation:
Two events are independent if occurrence of one event does not affect possibility of occurrence of another.
(a) if A and B are independent, then P(A and B) = P(A) x P(B)
= 0.2 x 0.8
= 0.16
(b) If P(A|B) = 0.7, compute P(A and B)
Considering the notations of independent events,
[tex]P(A/B) = P(A)\\\\\frac{P(A \ and \ B)}{P(B)} = P(A)\\\\Thus, P(A/B) = \frac{P(A \ and \ B)}{P(B)}\\\\P(A \ and \ B) = P(A/B) *P(B)[/tex]
= 0.7 x 0.8
= 0.56
25. If the area of a circle is 144cmthen find
a. lts diameter
b. Its circumference
Answer:
a. lts diameter = 13.540550005146 cm
b. Its circumference = 42.538892421732 cm
Step-by-step explanation:
suppose A the area ; d the Diameter ; P the circumference and r the radius
A = πr²
P = d×r = 2πr
then
r² = A/π = 144÷π = 45.836623610466
then
→ r = √(45.836623610466) = 6.770275002573
d = 6.770275002573×2 = 13.540550005146
→ P = 13,.540550005146×π = 42.538892421732