To obtain the product, each element in the expression [tex]\([8, -1, -5, 9]\)[/tex] is multiplied by -4, resulting in [tex]\([-32, 4, 20, -36]\).[/tex]
To find the product of -4 and the expression [tex]\([8, -1, -5, 9]\),[/tex] we multiply each element in the expression by -4.
This involves multiplying -4 by 8, -1, -5, and 9 individually.
The result of these multiplications is [tex]\([-32, 4, 20, -36]\).[/tex]
In other words, each element in the original expression is multiplied by -4 to obtain the corresponding element in the product.
This operation is a scalar multiplication, where a single number (in this case, -4) is multiplied by each element of a vector or array.
Scalar multiplication is a fundamental operation in linear algebra and is used to scale vectors or matrices by a constant factor.
In this context, multiplying the expression by -4 changes the magnitude of each element by a factor of 4 while preserving their relative positions within the array.
Point N is on line segment MO. Given MN = x, MO = 3x - 6,
and NO = x + 1, determine the numerical length of MO.
Answer:
Step-by-step explanation:
N is between points M and O
MN = x
MO = 3x - 6
NO = x + 1
The way it reads MN + NO = MO
x + x + 1 = 3x - 6
2x + 1 = 3x - 6
2x - 2x +1 = 3x -2x - 6
1 = x - 6
1 + 6 = x
x = 7
MO = 3x - 6
MO = 3*7 - 6
MO = 21 - 6
MO = 15
The numerical length of MO, given MN = x, MO = 3x - 6, and NO = x + 1, is 15.
Explanation:Given the conditions of the problem, we can create the equation MO = MN + NO based on segment addition postulate in Geometry. This implies: 3x - 6 = x + x + 1, or 3x - 6 = 2x + 1. Solving this equation for x, you get x equals 7. Substituting x = 7 into MO = 3x - 6 gives you: MO = 3(7) - 6 = 21 - 6 = 15. So, the numerical length of MO, given MN = x, MO = 3x - 6, and NO = x + 1, is 15.
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16. A 20.25-gallon gasoline tank is 3/5 full. How many gallons
will it take to fill the tank?
To fill the tank, multiply 2/5 by the tank's capacity of 20.25 gallons.
Explanation:To find the number of gallons it will take to fill the tank, we need to determine how much more fuel is needed to make the tank full. We can do this by subtracting the current amount of fuel in the tank from its full capacity. The tank is 3/5 full, so the remaining amount of fuel needed to fill the tank is 2/5 of its capacity. Since the capacity of the tank is given as 20.25 gallons, we can calculate the number of gallons needed to fill the tank by multiplying 2/5 by 20.25:
2/5 * 20.25 = 8.1 gallons
Therefore, it will take 8.1 gallons to fill the tank.
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alisa wrote a comparison for set b using the ten thousands place. Explain what strategy she could have used
Answer:
1000 to the 10 th power
Step-by-step explanation:
Just put it into power form
Since Alisa wrote a comparison for set b using the ten thousands place. The strategy that she could have used is 1000¹⁰
So, Alisa's strategy for comparing numbers in Set B using the ten thousand place involves focusing on a specific digit position to simplify the comparison process.
What is the comparisonIn Set B, the numbers are 492,111 and 409,867. By looking at the ten thousand place, which is the fourth digit from the right, Alisa can break down the comparison to:
492,111: The digit in the ten thousand place is 2.409,867: The digit in the ten thousand place is 0.Since 2 is greater than 0, Alisa can quickly deduce that 492,111 is larger than 409,867. This strategy is based on the idea that when numbers are similar in size, comparing them digit by digit can help us easily figure out which one is bigger.
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See full text below
Alisa says it is easier to compare the numbers in set a (45,000, 1,025,680) instead of set b (492,111, 409,867). Alisa wrote a comparison for Set B using ten thousand place. Explain what strategy she could have used.
find each product
1. (-2)(3)
2. (-5)(-7)
3. (8) (-11)
4. (-3) (2) (-2)
Answer:
1. -6
2. 35
3.-88
4. 12
hope it helps :)
Identify the dependent and independent variables on the following scenario:
A researcher is studying the effect of sleep on academic performance, thinking that less sleep will lead to lower grades. She has
some people sleep six hours per night, some people sleep three hours per night, and some people sleep as much as they want.
She then monitors academic behavior during English and math classes among participants. (Site 1)
Answer:
I think that the dependent variable would be the academic performance because she hypothesizes that the performance depends on how many hours of sleep you get. And the amount of sleep would be the independent variable. I'm not too too sure.
Answer:
Independent Variable = Effect of Sleep
Dependent Variable = Academic Performance
Step-by-step explanation:
As we know that dependent variable depends on independent variable and on changing the value of independent variable, value of dependent variable also get changed.
Here in the given scenario academic performance is depend on the effect of sleep. Thus,
Independent Variable = Effect of Sleep ( Number of hours of sleep)
Dependent Variable = Academic Performance.
A ride at a carnival has two types of cars for children to ride. One type has 2 seats and one has 4 seats. There are 25 cars, and they can seat a total of 70 children. How many 4-seated cars are there?
There are 10 4-seated cars at the carnival.
Explanation:We are given that there are two types of cars at the carnival, one with 2 seats and one with 4 seats. We also know that there are a total of 25 cars and they can seat 70 children in total.
Let's assume the number of 2-seated cars is x and the number of 4-seated cars is y. We can set up a system of equations to represent the given information:
x + y = 25 (equation 1)2x + 4y = 70 (equation 2)We can solve this system of equations using substitution or elimination method. Let's solve it using elimination method:
Multiply equation 1 by 2 to make the coefficients of x the same: 2(x + y) = 2(25) --> 2x + 2y = 50 (equation 3)Subtract equation 3 from equation 2 to eliminate x: 2x + 4y - (2x + 2y) = 70 - 50 --> 2y = 20Divide both sides of the equation by 2 to solve for y: y = 10So, there are 10 4-seated cars at the carnival.
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The carnival ride question can be solved using a system of equations with two variables representing the number of 2-seated and 4-seated cars. After setting up and solving the equations, we find there are 10 4-seated cars and 15 2-seated cars.
To tackle this problem, we need to set up two equations based on the seats and cars information given. Let's define x as the number of 2-seated cars and y as the number of 4-seated cars. The problem states that there are a total of 25 cars, which gives us the equation:
x + y = 25
Furthermore, we know that the total number of seats across all cars is 70. Since 2-seated cars contribute 2x to the total number of seats and 4-seated cars contribute 4y, we have the second equation:
2x + 4y = 70
To solve for y, we can manipulate these equations using substitution or elimination. For this example, let's use elimination. Divide the second equation by 2 to simplify it:
x + 2y = 35
Now subtract the first equation from this simplified second equation:
y = 35 - 25
y = 10
So, there are 10 4-seated cars. To find the number of 2-seated cars (x), substitute y back into the first equation:
x + 10 = 25
x = 25 - 10
x = 15
Thus, there are 15 2-seated cars.
A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end of the highway at the 30 mi. mark. If n is the number of markers, which equation is true?
A. 30 • 0.2 = n
B. 30 • 0.5 = n
C. 30 • n = 0.2
D. 30 ÷ 0.2 = n
The perimeter of a square is 1/5 of a meter.
a. Find the length of each side in meters. Draw a picture to support your response.
b. How long is each side in centimeters?
Answer:
a) 0.05m
b) 5 cm
Step-by-step explanation:
See it in the pic
82 X 29 but it says 2378 is not the anwser so we are lost for anwser
Answer: The correct answer is 2378. Though,maybe the answer that was given to you is wrong.
Step-by-step explanation: 82 x 29 =2378
Does this table represent a function? Why or why not?
I need help ASAP
Answer:
B
Step-by-step explanation:
A function has ONE x value and ONE y value.
The length of an object is measured as 35.8 centimeters. What is this measurement in scientific notation?
A. 358 × 10^1 centimeters
B. 3,580 × 10^2 centimeters
C. 0.358 × 10^2 centimeters
D. 3.58 × 10^1 centimeters
Answer:
option D is correct
=3.58X 10^1
The numbers of calories per serving for various snakes foods are listed below.
Corn chips: 230 calories
Popcorn: 25 calories
Potato chips: 115 calories
Pretzels: 62 calories
What is the mean number of calories per serving for these foods?
A.) 88.5 cal.
B.)108 cal.
C.)230 cal.
D.)432 cal.
Answer:
B. 108 calories
Step-by-step explanation:
The mean number of a data set is
[tex]\text{Mean}=\dfrac{\text{The sum of all calories in products}}{\text{The number of products}}[/tex]
Corn chips: 230 calories
Popcorn: 25 calories
Potato chips: 115 calories
Pretzels: 62 calories
Thus,
The sum of all calories [tex]=230+25+115+62=432[/tex]
The number of productrs = 4
The mean number of calories [tex]=\dfrac{432}{4}=108[/tex]
2x + 8y = 74
3x - 4y = 43
Answer: x=20
y= 17/4
Step-by-step explanation:
x=37-4y
111-16y=43
y=17/4
x=20
Diego Rollins is paid $10.20 an hour for a regular 40-hour week at the
driving range. His overtime rate is 15 times his regular hourly rate.
This week he worked his regular 40 hours plus 8 hours of overtime.
Vhat is Diego's total pay?
Answer:
$1632
Step-by-step explanation:
Hourly pay for Diego = $10.20
Weekly hours = 40 Hours
Basic earning = 10.20 × 40 = $408
Overtime pay = 15 × Hourly rate = 15 × 10.20 = $153
Total overtime = 8 hours
Overtime earning = 153 × 8 = 1224
Total earning for the week = 408 + 1224 = $1632
In a department store, a $40 dress marked, "save 25%." what is the discount? what is the sales price of the dress?
Answer:
Discount = $10
Sales Price = $30
Step-by-step explanation:
Discount
= 25% of marked price
= 25% x $40
= (25/100) x 40
= $10
Sales price = Marked price - Discount = $40 - $10 = $30
If 7x+4=37, what is the value of 14x-1
Tom buys a new phone service. It costs $20 to install, and then costs $15 a month. Write an equation to show the cost of the phone (y) for any number of months (x).
Answer:
Y=$15x+$20
Step-by-step explanation:
What is the gcf of 32 and 56
Answer:
The GCF of 32 and 56 are 8.
Step-by-step explanation:
Answer above! Enjoy! :)
A 8-oz jar of peanut butter costs $3.18. What is the cost per ounce?
{3^4•5^4}-3 what is the answer
Answer:
1,265,622
Step-by-step explanation:
exponents mean you divide the number by itself however many times the exponent tells you to then you go from there
for which value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=7x/2x-8
a. 8
b. -7
c. 0
d. 4
Answer:4
Step-by-step explanation:
Take the denominator and set it to equal 0. We do this since the expression will be going towards 0, but never actually hitting it. This is due to you NEVER being able to divide by zero. Research about why, it's actually quite fascinating! So the entire expression would forever be chasing what ever makes the denominator equate to zero.
So, let's do that.
Set 2x-8 equal to zero.
0=2x-8
Once we do some simple math, we find that 4 is what we're looking for.
Please answer this correctly
Answer:
Colleen
Step-by-step explanation:
Gabby spent less than Mark
Mark>Gabby
Mark spent less than Layla
Layla>Mark>Gabby
Layla spent less than Colleen
Colleen>Layla>Mark>Gabby
Answer:
Colleen
Step-by-step explanation:
It says that:
Gabby spent less than Mark. Therefore Gabby<Mark
Mark spent less money than Layla. Therefore Mark<Layla and Gabby<Mark<Layla
Layla spent less money than Colleen, so Layla<Colleen and Gabby<Mark<Layla<Colleen.
Colleen spent the most money.
Sarah is building a model of the school. the scale of her model to the actual school is 1 to 10. Her model is 380 in tall. How tall is the actual School?
If Tim's top priority is to become famous, his most likely long-term goal is to
become a(n).
Answer:
Music artist
Why:
Well, if this wasn't the question please explain to me what I'm answering!
Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be working on. He has 60 minutes to practice piano and would like to spend at least 35 minutes playing songs instead of practicing scales. So, Sven sets up the following inequality, where t is the number of minutes he spends on each scale, and solves it.
Answer:
He must spend no more that 25 minutes practising scales.
Step-by-step explanation:
5t + 35 ≤ 60
5t ≤ 25
t ≤ 5.
So the maximum time for practising the scales is 5*5 = 25 minutes.
Answer:
Sven should spend 5 minutes or less on each scale. Maximum times is 25 minutes.
Step-by-step explanation:
Total time to practice piano = 60 minutes
He would like to spend at least 35 minutes playing songs instead of practicing scales.
Let t is the number of minutes he spends on each scale.
The time spend on 5 scales = 5t
Time for playing songs = 60 - 5t
It is given that he would like to spend at least 35 minutes playing songs instead of practicing scales. It means time for playing songs is greater than or equal to 35.
[tex]60-5t\geq 35[/tex]
Subtract 60 from both sides.
[tex]60-5t-60\geq 35-60[/tex]
[tex]-5t\geq -25[/tex]
Divide both sides by -5. If an inequality is divided or multiplied by a negative number, then the sign of inequality is changed.
[tex]t\leq 5[/tex]
Sven should spend 5 minutes or less on each scale.
The maximum value of t is 5, so the maximum time spend on practicing scales is
[tex]\text{Maximum time}=5t\Rightarrow 5(5)=25[/tex]
Therefore, the maximum time is 25 minutes.
I can't figure out how to tell which one costs more per pounds
Answer:
the 25 lb bag costs more
Step-by-step explanation:
6.96 divided by 12 = 0.58
15.75 dived by 25 = 0.68
Answer: 25 pound costs more than the other one
Step-by-step explanation:
Ryan transformed figure S into similar figure S′.
What scale factor did he use for the dilation?
A. 1/3
B. 1/2
C. 2
D. 3
Answer:
D. 3
Step-by-step explanation:
Rectangle S is ½ by 1½, so tripling each dimension would give you S':
½ x 3 = 1½
1½ x 3 = 4½
1½ x 4½ are your new dimensions, and are genuine dimensions!
I am joyous to assist you anytime.
Jason needs 3.75 tons of concrete for university path. if his truck holds 1.5 times how many trips most he make?
Answer:
2 and a half trips?
Step-by-step explanation:
i did 3.75/1.5 and got 2 .5 soooo i think thats it.
Answer:
Three
Step-by-step explanation:
[tex]\begin{array}{rcl}\\\text{Number of tons} & = & \text{Number of trips} \times \dfrac{\text{number of tons}}{\text{1 trip}}\\\text{3.75 t} & = & \text{Number of trips}\times \dfrac{\text{1.5 t}}{\text{1 trip}}\\\dfrac{3.75}{1.5} & = & \text{Number of trips}\\\text{Number of trips} & = & 2.5\\\end{array}[/tex]
Jason can't make 2.5 trips.
He can make two trips carrying a full load and another trip carrying a half-load.
That makes three trips.
Solve the inequality
1≥−y4
Question 18 options:
a)
{y | y≥−4}
b)
{y | y≤3}
c)
{y | y≤−4}
d)
{y∣∣y≥−14}
Answer:
Step-by-step explanation:
1≥−y4
multiply by : -1 -1 ≤ 4y means : 4y ≥ -1
divid by 4 : y ≥ -1/4 answer : d
* ANSWER QUICK PLEASE :)* The map shows the dimensions of five counties in a Midwestern state. Which expression gives the area of Adams County? <3
Answer:
101218141812
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]
Step-by-step explanation:
In the figure attached, map shows the dimensions of the 5 counties in a Midwestern state.
Adams county has the triangular boundaries.
Since area of triangle is represented by the expression [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]
Base represents the boundary of county Harding touching Adams = 18 mi.
Height represents the boundary of county Lincoln touching Adams = 10 mi
Therefore, expression representing the area of Adams county will be
[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]
= [tex]\frac{1}{2}18\times 10[/tex]
= 90 square miles.