Answer:
See below
Step-by-step explanation:
Distance / rate = time
2 1/10 mi / 9 9/10 mi/hr
21/10 / 99/10 = 21/99 hr = 12.73 minutes
ZERO hr if rounded to nearest integer hr
= 13 minutes as nearest integer minutes
exact is 21/99 hr = 7/33 hr
3.168×10 9 and 4.8 \times 10^24.8×10 2 expressed in scientific notation?
The value of 3.168 × 10^9 × 4.8 × 10^2 in scientific notation is 15.2064 × 10^11.
What is scientific notation?It should be noted that scientific notation is used to express the numbers that are either too large or too small.
The expression is illustrated as:
= 3.168 × 10^9 × 4.8 × 10^2
= 15.2064 × 10^11
It should be noted that the exponent is that we add the powers.
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this one is way to hard
f(5) = -4(5 - 1)
f(5) = -4(4)
f(5) = - 16
help me please
thank you
In interval notation, the inequality is [tex](-\infty, -4][/tex].
Instructions: State the domain and range of the given function.
In this problem, we are going to state the domain (x-values)of the given scatter plot.
Notice that we are given individual points. That means the domain will also have individual values, or the x-vaues of the points.
In your graph, we are given th following points:
(2,2)
(2,10)
(3,7)
(5,5)
(8,5)
So, the domain for the graph will have the values 2, 3, 5, 8, or the first option on your dropdown menu.
use a calculator.15. Select all the numbers that are solutions to the equation x2 = 15. (2 pt)A. 225B. 225C. 7.5D. 715E. -V15
√15, and -√15
1) Considering the equation below, let's solve it:
[tex]\begin{gathered} x^2=15 \\ \sqrt[]{x^2}=\sqrt[]{15} \\ x=\sqrt[]{15},\text{ -}\sqrt[]{15} \end{gathered}[/tex]2) So the answer is √15, and -√15
Since (√15)² = 15 and (-√15)²=15
The equation y = 10x represents the liters of water a baseball team drinks each practice. This equation shows that after three practices, the team will have consumed 30 liters of water.
Determine the constant of proportionality.
if equation y = 10x represents the liters of water a baseball team drinks each practice. This equation shows that after three practices, the team will have consumed 30 liters of water. Then 1/10 is constant of proportionality
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
The equation is y=10x
x 1 2 3 4 5
y 10 20 30 40 50
This represents the liters of water a baseball team drinks each practice.
It is given that After three practices, the team will have consumed 30 liters of water.
1/10, 2/20,3/30..
1/10 is the constant of proportionality.
Hence 1/10 is the constant of proportionality for equation y=10x.
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GIVING 200 POINTS 2 QUESTIONS WILL GIVE BRAINLYEST
Answer:
Question 1 = 18.5 6618.375 / 357.75 = 18.5
Question 3 = 1542 m^2
Quetion 4 = 560 inch ^ 3
Step-by-step explanation:
Question 1 = 18.5 6618.375 / 357.75 = 18.5
Question 3 = 26214 / 17 = 1542. Since dividing m^3 you get m^2.
Question 4 = 560 inch ^ 3 10*14*4
Answer:
Question 1 = 18.5 6618.375 / 357.75 = 18.5Question 3 = 1542 m^2Quetion 4 = 560 inch ^ 3Step-by-step explanation:Question 1 = 18.5 6618.375 / 357.75 = 18.5Question 3 = 26214 / 17 = 1542. Since dividing m^3 you get m^2. Question 4 = 560 inch ^ 3 10*14*4
Step-by-step explanation:
Use technology to find points and then graph the line y=-3(x-1)-4,y=−3(x−1)−4, following the instructions below.
Given the equation;
[tex]y=-3(x-1)-4[/tex]We asked to find some points and plot the graph.
Explanation
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Therefore, when x =0
[tex]\begin{gathered} y=-3(0-1)-4 \\ y=3-4 \\ y=-1 \end{gathered}[/tex]When x =1
[tex]\begin{gathered} y=-3(1-1)-4 \\ y=-4 \end{gathered}[/tex]Therefore, the graph of the equation can be seen below.
−|a+b|/2−c when a = 1 3/5 , b = −2 , and c = −7
Answer: the answer should be -2/25
Step-by-step explanation:
I took the test.
help meeeeeeeeeeeeeeeeeeeeeee
thank you
By using the graph of the given function, the value of x such that f(x) = -3 is -2.
What is a graph?A graph can be defined as a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In Mathematics, the x-intercept of any graph simply refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
By critically observing the graph which models the data of this function, we can reasonably and logically deduce that the value of x when the function, f(x) = -3 is is equal to -2.
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The sum of nine and a number is forty less than fifteen
Answer:
x = -34
Step-by-step explanation:
Lets use "x" as the missing number
9 + x = 15 - 40
9 + x = -25
x = -25 - 9
x = -34
2. Find the coordinates of P so that P partitions AB in the ratio 5.1 with A(2, 4) and B(8, 10).
Answer:
The coordinates of P is;
[tex]P=(7,9)[/tex]Explanation:
We want to find the coordinate of P such that P partitions AB in the ratio 5:1.
Given the coordinates of A and B as;
[tex]\begin{gathered} A(2,4) \\ B(8,10) \end{gathered}[/tex]Let (x,y) represent the coordinates of point P;
[tex]\begin{gathered} \frac{x-2}{8-x}=\frac{5}{1} \\ x-2=5(8-x) \\ x-2=40-5x \\ x+5x=40+2 \\ 6x=42 \\ x=\frac{42}{6} \\ x=7 \end{gathered}[/tex][tex]\begin{gathered} \frac{y-4}{10-y}=\frac{5}{1} \\ y-4=5(10-y) \\ y-4=50-5y \\ y+5y=50+4 \\ 6y=54 \\ y=\frac{54}{6} \\ y=9 \end{gathered}[/tex]Therefore, the coordinates of P is;
[tex]P=(7,9)[/tex]what is the range of the relation[(-5,0),(-4,-3),(-3,4),(-1,0),(-4,-1)]
The range is the set of values that the relation takes for the domain for which it is defined.
Is the set of values of the dependent variable.
In this case, we have the relation [(-5,0),(-4,-3),(-3,4),(-1,0),(-4,-1)].
The dependant variable takes the values: 0, -3, 4, 0 and -1. Some values are repeated.
We put the repeated values only once and sort to write the range.
Then, the range is R = {-3, -1, 0, 4}.
Answer: Range = {-3, -1, 0, 4}
Plot the given parabola on the axes. Plot the roots, the vertex and two other points.
Solution
Step 1:
The first two points are the roots of the parabola.
To get the roots of the parabola, equate y = 0
[tex]\begin{gathered} \text{y = x}^2\text{ + 2x - 35} \\ x^2\text{ + 2x - 35 = 0} \\ x^2\text{ + 7x - 5x - 35 = 0} \\ x(x\text{ + 7)-5(x + 7) = 0} \\ (x\text{ + 7)(x - 5) = 0} \\ x\text{ = -7 , x = 5} \\ \text{The parabola intercept x-axis at (-7, 0) and (5 , 0)} \end{gathered}[/tex]Step 2:
Find the y-intercept.
To find the y-intercept, plug x = 0
[tex]\begin{gathered} \text{y = x}^2\text{ + 2x - 35} \\ y=0^2\text{ + 2}\times0\text{ - 35} \\ y\text{ = -35} \\ y-\text{intercept is (0 , -35)} \end{gathered}[/tex]Step 3:
Find the vertex
[tex]\begin{gathered} \text{The vertex is (}\frac{-b}{2a}\text{ , y)} \\ b\text{ = 2, a = 1} \\ x\text{ = }\frac{-b}{2a} \\ x\text{ = }\frac{-2}{2\times1} \\ x\text{ = }\frac{-2}{2} \\ x\text{ = -1} \\ y=(-1)^2\text{ + 2(-1) - 35} \\ y\text{ = 1 - 2 - 35} \\ y\text{ = -36} \\ \text{Vertex = (-1, -36)} \end{gathered}[/tex]Final answer
All the five points are:
Roots (x-intercept) = (-7, 0) , (5 , 0)
y-intercept = (0, -35)
vertex = (-1, -36)
Other point = (-5, -20)
Perform the indicated operation.Subtract (4x^2-5) from the sum of (x^2 - 5x + 1) and (3x^2 – 3x+4)The answer is
We have the sum of
[tex]\mleft(x^2-5x+1\mright)+(3x^2-3x+4)[/tex]we sum similar terms
[tex]4x^2-8x+5[/tex]then we subtract (4x^2-5) from the result of the sum above
[tex](4x^2-8x+5)-\mleft(4x^2-5\mright)=4x^2-8x+5-4x^2+10[/tex]then we sum similar terms, and we find the answer
[tex]-8x+10[/tex]I am stuck on trying to solve these two problems can someone please help me with themWrite an equivalent fraction for each problem below. 24/42 and 16/20
ANSWER :
The equivalent fractions are :
24/42 = 4/7
16/20 = 4/5
EXPLANATION :
From the problem, we have the fractions 24/42 and 16/20
For 24/42
We need to think of a number that the numerator and the denominator will be divisible of.
24 and 42 are both divisible by 6.
That will be :
[tex]\frac{24}{42}\rightarrow\frac{24\div6}{42\div6}=\frac{4}{7}[/tex]Therefore, the equivalent fraction for 24/42 is 4/7
For 16/20
We will do the same procedure, 16 and 20 are divisible by 4.
That will be :
[tex]\frac{16}{20}\rightarrow\frac{16\div4}{20\div4}=\frac{4}{5}[/tex]The equivalent fraction for 16/20 is 4/5
On a recent test, Mark got 6 questions out of 40 wrong. Which answer best describes the percent of questions he got correct?
answer 85%
Step-by-step explanation:
6-40=34
100 divide by 40
2.5 times 34
Which of the following systems of equations has the solution (1, 4)? y = –3x – 1y = –x + 5 y = 3x + 1y = x – 5y = –x – 5
Step 1
To find the systems of equations that has the solution (1,4). The value of x, 1 input into the equations must give 4 as the value of y. We will now test the options.
1) y=-3x-1
[tex]\begin{gathered} y=-3(1)-1 \\ y=-4 \\ False \end{gathered}[/tex]2) y=-x+5
[tex]\begin{gathered} y=-(1)+5=4 \\ True \end{gathered}[/tex]3) y=3x+1
[tex]\begin{gathered} y=3(1)+1=4 \\ True \end{gathered}[/tex]4) y=x-5
[tex]\begin{gathered} y=1-5=-4 \\ false \end{gathered}[/tex]5) y=-x-5
[tex]\begin{gathered} y=-(1)-5=-6 \\ False \end{gathered}[/tex]Answer;
[tex]\begin{gathered} y=-x+5 \\ y=3x+1 \\ \end{gathered}[/tex]Solve for x
23x-5
21x+5
According to the propertyWhich choice is equivalent to the quotient below!
Answer:
A
Step-by-step explanation:
Because square root of 30 is 5.4 rounded, and square root of 6 is 2.4 rounded, so 5.4 divided 2.4 is 2.25, and square root of 5 (Answer choice A) is 2.25 rounded as well. They are more accurate when not rounded btw u can check yourself:) HAVE A GREAT DAY/NIGHTT!
Find the exact value of sin 120° in simplest form with a rationaldenominator.
Mavis says that -7/9 * 6 is less than 7/9 * (-6) explain whether or not maybe this is correct
EXPLANATION
-7/9*6 is the same number that 7/9*(-6) because by the property of the products ---> the order of symbols doesn't change the solution : -a*b= a*-b
This hutch is made up of two rectangular prisms. 1 7 ft 2 ft 2 127 ft 22 ft 4 ft What is the total volume of this hutch, in cubic feet?
Answer
40 cubic feet
Step-by-step explanation
The volume of a rectangular prism is calculated as follows:
[tex]V=whl[/tex]where w is the width, h is the height and l is the length of the prism.
The hutch is made up of two rectangular prisms, one with a width of 1 1/3 ft, a height of 2 1/2 ft, and a length of 4 ft. The other one has a width of 2 2/3 ft, a height of 2 1/2 ft, and a length of 4 ft.
To calculate the volume of the hutch, first, we need to calculate the volume of each prism, and then add them.
The volume of the smaller prism is:
[tex]\begin{gathered} V_1=1\frac{1}{3}\cdot2\frac{1}{2}\cdot4 \\ V_1=13\frac{1}{3}\text{ cubic feet} \end{gathered}[/tex]The volume of the bigger prism is:
[tex]\begin{gathered} V_2=2\frac{2}{3}\cdot2\frac{1}{2}\cdot4 \\ V_2=26\frac{2}{3}\text{ cubic feet} \end{gathered}[/tex]Finally, the volume of the hutch is:
[tex]V_1+V_2=13\frac{1}{3}+26\frac{2}{3}=40\text{ cubic feet}[/tex]Choose the answer that represents the product below as an exponentialexpression(8.2). (8.2). (8.2)A. 3.8.2B. 8.2^4C. 3^8.2D. 8.2^3
We have
[tex]\mleft(8.2)\cdot(\mright?8.2)\cdot(8.2)[/tex]the base is 8.2 and the exponent is the number of times the number repeated in this case it is 3 therefore the answer is
[tex]8.2^3[/tex]ANSWER
D. 8.2^3
Write the equation below in standard form. Show work. 8/3y = 5/6x - 2
To write the equation in standard form:
Step 1. Multiply the expression by 6
[tex]\begin{gathered} (\frac{8}{3}y=\frac{5}{6}x-2)\cdot6 \\ 16y=5x-12 \end{gathered}[/tex]Step 2. Clear the independent term
[tex]\begin{gathered} 16y=5x-12 \\ 16y-5x=-12 \end{gathered}[/tex]The equation in standard form is 16y-5x=-12
Kavin made the 10 number cardsshown below.444N11997Gavin shuffled the cards and thenflipped them over so his friend Rickcould not see the numbers. If Rickrandomly chose one of the cards, hewas more likely to choose a card witha 4 than a card withA an odd numberB a prime numberC another even numberD an odd number less than 7
We have a total of 10 cards.
From these 10 cards, three cards are number 4, so the probability of choosing a number 4 is P = 3/10.
Calculating the probability for each option, we have:
A. Odd number
There are 6 odd numbers among the cards, so the probability is P = 6/10
B. Prime number
There are 3 prime numbers among the cards, so the probability is P = 3/10
C. Another even number
There are 4 even numbers among the cards, so the probability is P = 4/10
D. An odd number less than 7.
There are 3 odd numbers less than 7, so the probability is P = 3/10
The bigger probability is for an odd number, therefore the correct option is A.
factor this polynomial completely[tex] {x}^{2} - 8x + 16[/tex]
Solution.
[tex]\begin{gathered} Given \\ x^2-8x+16 \\ =x^2-4x-4x+16 \\ =x(x-4)-4(x-4) \\ =(x-4)(x-4) \end{gathered}[/tex]The answer is (x-4)(x-4)
what is the area of a parallelogram with a side of 11 8 and 10
The area of the parallelogram with dimensions 11.8 units and 10 units is 118 square units
How to find the area of a parallelogramParallelogram is a general term that refers to quadrilaterals with the opposite sides parallel to each order
Area refers to the space covered by an object or extent covered
Hence to find the pace covered by the parallelogram which is the area of the parallelogram we multiply the both sides as follows
let the length, L = 11.8 units and width, w = 10 units
Area of parallelogram = L * w
= 11.8 * 10
= 118 square units
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An industrial machine made 1,629 cans of diet sodas and 6 times as many
regular sodas over the course of 46 minutes. The regular sodas were then
placed into 3 shipping boxes with each shipping box containing the same
number of sodas. How many regular sodas were in each shipping box.
Each of the shipping boxes contains 2172 cans of regular soda.
Ratios and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion.
The industrial machine made a total of 1629 cans of diet soda which is 6 times as much regular soda in 46 minutes.
Then, the total number of regular sodas made will be:
R = 4 × Total number of diet soda
R = 4 × 1629 cans
R = 6516 cans
The regular sodas were packed in 3 shipping boxes with each having the same number of soda cans.
Therefore, the number of cans of regular sodas in each box will be:
N = 6516/3
N = 2172 cans
There are 2172 cans of regular sodas in each shipping box.
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Parents plan to ship some items to their child who is attending college out of town. Thestudent definitely needs towels, which weigh 9 pounds. The cost is $45 to ship up to 15pounds.a. Write and solve an inequality that represents how many pounds the parents can add tothe shipment without having to pay additional shipping costs
Answer
The inequality equation is
(9 + x) ≤ 15
The solution is
x ≤ 6 pounds
The number of pounds that the parents can add to the shipment without having to pay additional shipping costs is less than or equal to 6 pounds.
Step-by-step Explanation
The question wants us to write and solve an inequality that represents how many pounds the parents can add to the shipment without having to pay additional shipping costs.
The towels needed by the student already weigh 9 pounds.
The maximum weight of shipment that is allowable for a payment of $45 is 15 pounds.
Let the additional weight that the parents can add to the shipment without having to pay additional shipping costs be x.
Since the maximum weight allowable is 15 pounds, the 9 pounds already on ground plus the additional x pounds must not exceed 15 pounds. That is, that total weight must always be less than or equal to 15 pounds.
Mathematically,
(9 + x) ≤ 15
This is the inequality equation. We can now solve this
(9 + x) ≤ 15
Subtract 9 from both sides
(9 + x) - 9 ≤ 15 - 9
9 + x - 9 ≤ 6
x ≤ 6
Hence, the number of pounds that the parents can add to the shipment without having to pay additional shipping costs is less than or equal to 6 pounds.
Hope this Helps!!!
