Negative 34 means (-34)
times means to multiply, then
[tex]-34\times1567[/tex]To do it without a calculator we will make -34
-30 + -4, then multiply -30 by 1567 and multiply -4 by 1567 then add the two answers
[tex]-4\times1567=-6268[/tex][tex]-30\times1567=-47010[/tex]Then add the answers
[tex]-34\times1567=-6268+-47010=-53278[/tex]The answer is -53278
Answer:
Step-by-step explanation:
-3 times 67 is is minus 207 or -207
A line passes through point A(2,5) and B(-8,-4). Find the slope of the line.
We are going to use the formula for the slope of the line with points A(2,5) and B(-8,-4). x1= 2, x2=-8, y1=5 and y2=-4
[tex]m=\frac{y2-y1}{x2-x1}=\frac{-4-5}{-8-2}=\frac{-9}{-10}=\frac{9}{10}[/tex]The slope of the line is 9/10
what is another way to write the following expression?(8x+24)+(9y+81)A) 8(x+3)+9(y+9)B) 17(x+3)+(y+9)C) 8(x+16)+9(y+72)D) 17xy+105
The given expression is
[tex](8x+24)+(9y+81)[/tex]The greatest common factor of the first expression is 8, and the greatest common factor is 9. Let's factor out it
[tex]8(x+3)+9(y+9)[/tex]Hence, the answer is A.i need to answer this question then find the matching graph
we have
[tex]\begin{gathered} 5a-2\ge8 \\ \text{solve for a} \\ 5a\ge8+2 \\ 5a\ge10 \\ a\ge2 \end{gathered}[/tex]the solution is the interval {2, infinite)
In a number line the solution is the shaded area at right of a=2 (close circle)
therefore
the answer is
First option
what is 2+2?
I just cant figure it out.
Answer:4
Step-by-step explanation
If you have 2 fishes in an aquarium and add 2 more fishes to the aquarium you have 4 fishes! :D
Answer:
4
Step-by-step explanation:
Select the correct equation for the following sentence: Twenty-four is the same as 31.4 times a number plus negative 8.4.
31.4n + 8.4 = 24
–8.4n + 31.4 = 24
24 = 31.4n + (–8.4)
24 – 31.4 = –8.4n
Solve the system of equations.
2x - 4y -z = 10
4x - 8y - 2z = 16
3x + y + z = 12
Answer:
no solution
Step-by-step explanation:
Divide both sides of the second equation by 2.
2x - 4y - z = 8
The first equation is
2x - 4y - z = 10
Subtract the simplified second equation from the first equation.
2x - 4y - z = 10
- 2x - 4y - z = 8
---------------------------
0 = 2
Since 0 = 2 is false, there is no solution.
Answer:no solution
Step-by-step explanation:
Find the equation of a line passing through the point (0,1) and parallel to the line 2x – 3y = 6.
The given equation of the line is
[tex]\begin{gathered} 2x-3y=6 \\ 3y=2x-6 \\ y=\frac{2}{3}x-2 \end{gathered}[/tex]Hence slope of the line is
[tex]\frac{2}{3}[/tex]Since the line passing through (0,1) parallel to the given line then slope is same for both of them
Since (0,1) is a point so the intercept is c=1
So the equation is
[tex]\begin{gathered} y=mx+c \\ y=\frac{2}{3}x+1 \end{gathered}[/tex]An official lady's basketball has a circumference of 28.5 inches. How much volume is inside this basketball? Use 3.14 for Pi and round your final answer to the nearest whole cubic inch. A. 1,175B. 392C. 86D. None of the aboveI need help with problem I would appreciate the help.
solve 0.9x+5.1x-7=2(2.5x-3)how many solutions does the equation have
We want to solve the following equation for x:
[tex]0.9x+5.1x+7=2(2.5x-3)[/tex]First, let's expand the parenthesis on the right side of the equation using the distributive property
[tex]\begin{gathered} 0.9x+5.1x+7=2(2.5x-3) \\ 0.9x+5.1x+7=2\cdot2.5x-2\cdot3 \\ 0.9x+5.1x+7=5x-6 \end{gathered}[/tex]To add the terms with x, we just need to add their coefficients.
[tex]\begin{gathered} 0.9x+5.1x+7=5x-6 \\ (0.9+5.1)x+7=5x-6 \\ 6x+7=5x-6 \end{gathered}[/tex]Subtracting 5x from both sides of the equation:
[tex]\begin{gathered} 6x+7-5x=5x-6-5x \\ (6-5)x+7=(5-5)x-6 \\ x+7=0\cdot x-6 \\ x+7=-6 \end{gathered}[/tex]Now, if we subtract 7 from both sides, we have
[tex]\begin{gathered} x+7-7=-6-7 \\ x=-13 \end{gathered}[/tex]Since this is a first degree polynomial, it has only one solution and this solution is x = - 13.
(-2, 8) (r, 4) when m=-1/2
Question 5(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify √5 (10-4√2).
A 14
B 15√2
C 5√2-4√10
D 10√5-4√10
Answer:
I think the answer is D. sorry if I'm wrong
In the triangle ABC at the right above, AB=CB, and P and Q are points on the sides CB and AB such that AC=AP=PQ=QB. Find the number of degrees in angle B.
Since QP and QB are equal the triangle PQB the angles:
[tex]\begin{gathered} \measuredangle QPB=\measuredangle QBP \\ \measuredangle QPB=x \end{gathered}[/tex]The last angle can be found by adding all the internal angles and making it equal to 180 degrees.
[tex]\begin{gathered} \measuredangle QPB+\measuredangle QBP+\measuredangle BQP=180 \\ x+x+\measuredangle BQP=180 \\ \measuredangle BQP=180-2x \end{gathered}[/tex]The angle BQP and the angle AQP are suplementary, this means that their sum is equal to 180 degrees. So we have:
[tex]\begin{gathered} \measuredangle AQP+\measuredangle BQP=180 \\ \measuredangle AQP+180-2x=180 \\ \measuredangle AQP=180-180+2x \\ \measuredangle AQP=2x \end{gathered}[/tex]Since the sides AP and PQ are equal, then the angle PAQ is equal to AQP.
[tex]\begin{gathered} \measuredangle PAQ=\measuredangle AQP \\ \measuredangle PAQ=2x \end{gathered}[/tex]To find the last angle on that triangle we can add all the internal angles and make it to 180 degrees.
[tex]\begin{gathered} \measuredangle PAQ+\measuredangle AQP+\measuredangle APQ=180 \\ 2x+2x+\measuredangle APQ=180 \\ \measuredangle APQ=180-4x \end{gathered}[/tex]The angle APC is suplementary with the sum of the angles APQ and BPQ. So we have:
[tex]\begin{gathered} \measuredangle APC+\measuredangle APQ+\measuredangle BPQ=180 \\ \measuredangle APC+180-4x+x=180 \\ \measuredangle APC=3x \end{gathered}[/tex]The sides AP and AC are equal, therefore the angles APC and ACP are also equal.
[tex]\begin{gathered} \measuredangle ACP=\measuredangle APC \\ \measuredangle ACP=3x \end{gathered}[/tex]Then we can find the last angle on that triangle.
[tex]\begin{gathered} \measuredangle CAP+\measuredangle ACP+\measuredangle APC=180 \\ \measuredangle CAP+3x+3x=180 \\ \measuredangle CAP=180-6x \end{gathered}[/tex]The angle CAB is equal to the sum of CAP and PAQ. So we have:
[tex]\begin{gathered} \measuredangle CAB=\measuredangle CAP+\measuredangle PAQ \\ \measuredangle CAB=180-6x+2x \\ \measuredangle CAB=180-4x \end{gathered}[/tex]Since the sides AB and BC are equal, then the angles ACB and CAB must also be equal. We can find the value of x with this.
[tex]\begin{gathered} \measuredangle BAC=\measuredangle ACB \\ 180-4x=3x \\ 7x=180 \\ x=\frac{180}{7} \end{gathered}[/tex]The value of x is 180/7
27. A pyramid has a volume of 20 cubic inches and the
area of the base is 15 square inches. What is the
height of the pyramid?
Find a monthly payment on a 48 month new car loan for $15,000 with a credit score of 700Find a monthly payment on a 48 month new car loan for $15,000 with a credit score of 600
We know that with a 700 credit score we pay $23 per $1000 financed, then the monthly payment will be:
[tex]\frac{15000+48\cdot15\cdot23}{48}=657.50[/tex]Therefore for a 700 credit score tour monthly payment is $657.50
Answer : $28.00
Step-by-step explanation: because it says on the chart the 590-619 it would be $28.00.
HELPPP!!!!!! MEEEEEEE!!!!!!!!! There are 2 parts to this! TY
Module 01: Project Option 1
Instructions
Scientific notation is a tool that is used frequently in science, including astronomy, chemistry, biology, and more. In this activity, imagine that you are a student intern at NASA and are researching information about travel within our solar system. You will complete a series of tasks using what you know about scientific notation and what you discover about our solar system to calculate distances that astronauts may use for their next trip to space.
Part 1
Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:
Planet
Distance from Sun (in Km)
Distance in scientific notation
Mercury
57,909,000
5.7909 x10^7
venus
108,200,000
earth
149,600,000
mars
227,900,000
jupiter
778,300,000
saturn
1,427,000,000
uranus
2,871,000,000
neptune
4,497,100,000
Part 2
Answer the following questions using the data you have found. Show your work on all questions as indicated.
A. If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? Show your work and provide your answer in scientific notation.
B. Mercury, Venus, and Earth are the three planets closest to the Sun. Would their combined distance from the Sun be greater or less than the distance from the sun to Neptune? Show your work and justify your answer.
C. If Earth was 10 times farther away from the Sun than it is now, which planet would it be closest to? Compare Earth's new distance to that planet. How far apart would they be in standard notation? How far apart in scientific notation? Show your work.
D. The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary
Distance divided by speed equals time. Distance is calculated by subtracting the planets' distances.
What is meant by distance?The length of the line connecting two points is the distance between them. If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical coordinates.
Distance = speed × time is the formula.
Therefore,
1. Assume that the sun and both planets are in line and that they are on the same side of the sun.
from the sun: Jupiter is 778,300,000
from the sun, Venus is 108,200,000
778,300,000 - 108,200,000 = 670,100,000
It would have to travel 670,100,000/6.701*10 with 8 square kilometers.
2. The three planets that are nearest to the sun are Mercury, Venus, and Earth.
Mercury's distance from the sun is 57,909,000 km.
Venus's distance from the sun is 108,200,000 km.
Earth's distance from the sun is 149,600,000 km.
combined distance between Mercury, Venus, and Earth
57,909,000+108,200,000+149,600,000 = 315,709,000
Because 315,709,000 km is less than 4,503,443,661 km, the distance from the sun to Neptune is less than the sum of the distances from the sun.
3. Assume that every planet is on the same side of the sun and is in alignment with it.
Earth is equal to Earth at ten solar distances is 149,600,000 km *10.
New distance to Earth = 1,496,000,000km
Earth would be closest to Saturn at its distance from the sun is
1,496,000,000 - 1,296,000,000 =67,000,000
and the two would be 67,000,000 km apart.
4. Notation used in science: with a 7 square kilometer. The space shuttle moves at around 28,000 km/h.
To locate Time
Time = Distance /speed
1,200,000,000 -28,000 =40,000 hrs.
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Which describes the Coriolis effect?(1 point)
Responses
the circulation pattern of air near the equator
the circulation pattern of air near the equator
the density of hot and cold air
the density of hot and cold air
the uneven heating patterns between the equator and the poles
the uneven heating patterns between the equator and the poles
the direction of air currents in the Northern and Southern Hemispheres
the direction of air currents in the Northern and Southern Hemispheres
The option that describes the Coriolis effect is D. the direction of air currents in the Northern and Southern Hemispheres.
What is the Coriolis effect?The effect of the Earth's rotation on weather patterns and ocean currents is known as the Coriolis effect. Storms swirl clockwise in the Southern Hemisphere and counterclockwise in the Northern Hemisphere due to the Coriolis effect. Circulating air is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as the Earth rotates on its axis. The Coriolis effect refers to this deflection.
The rotation of the Earth causes the Coriolis effect. Moving objects in the Northern Hemisphere tend to curve to the right of their intended paths; moving objects in the Southern Hemisphere tend to curve to the left of their intended paths. The Coriolis effect causes moving objects to accelerate or decelerate.
Therefore, based on the information given, it should be noted that the correct option is D.
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Can someone please help me out with this
The value of UR = 13 mm
Given:
HGJI ≅ RSTU
proportional sides:
HG = JI
GJ = ST
JI = TU
IH = UR
From the figure:
IH = 13 mm
so IH = UR = 13
UR = 13 mm.
Therefore the value of UR = 13 mm.
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If y=x+2 we’re changed to y=x-1 how would the graph of a new function compare with the first one
A it would be shifted down
B it would be shifted left
C it would be less steep
D it would be shifted up
The graph of the new function compares with the first one by A it would be shifted down
What is a graph?A graph is a pictorial representation of a function.
What is a function?A function is a mathematical expression that shows the relationship between two variables.
How to determine how would the graph of a new function compare with the first one?Since we are given the functions y = x + 2 and If y = x + 2 we’re changed to y = x - 1. We want to determine how the graph of the new function would change compared with the first one.
We proceed with the transformation as follows.
Let
y₁ = x + 2 and y₂ = x - 1So, we can see that
y₂ = x - 1
= x - 1 + 2 - 2
= x + 2 - 1 - 2
= x + 2 - 3
= y₁ - 3
Since y₂ = y₁ - 3, we see that the second graph is shifted down by 3 units from the first one.
So, the graph compares with the first one by A it would be shifted down
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Determine the degree
-1/4abc+2b^2
The degree of polynomial is 3.
Given polynomial:
⇒ -1/4(abc)+2[tex]b^{2}[/tex]
⇒ -abc/4 + 2[tex]b^{2}[/tex]
the polynomial has two terms,
terms = -1/4(abc), 2[tex]b^{2}[/tex].
Degree of first term is =(-1/4) [tex]a^{1} b^{1} c^{1}[/tex] = 1+1+1 =3
= 3.
Degree of second term = [tex]2b^{2}[/tex] = 2.
Here degree can be determined as highest degree which is equal to 3.
Hence the degree of polynomial is 3.
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A line includes the points (0, 3) and (1, 7). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation of a line in slope - intercept form of a line includes the points (0, 3) and (1, 7)is y - 4x - 3 = 0.
A line includes the points (0, 3) and (1, 7).
We need to write its equation in slope-intercept form
The formula is
y - y₁ = ((y₂ - y₁)/(x₂ - x₁)) (x - x₁)
y - 3 = ((7 - 3)/1 - 0) (x - 0)
y - 3 = (4) x
y - 3 = 4x
y - 4x - 3 = 0
Therefore, the equation of a line in slope - intercept form of a line includes the points (0, 3) and (1, 7)is y - 4x - 3 = 0.
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A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? Rate of the boat still in water=Rate of the current=
Given,
Time taken by motorboat to going 200 miles upstream is 5 hours.
Time taken by motorboat to going 200 miles downstream is 4 hours.
At upstream,
The speed of boat is offosed by the speed of current.
At downstream,
The speed of boat is incraesed by the speed of current.
Consider,
The speed of boat is b.
The speed of current is c.
The speed is calculated as,
[tex]\begin{gathered} \text{Speed=}\frac{dis\tan ce}{time} \\ b-c=\frac{200}{5} \\ b-c=40 \\ b=c+40\ldots\text{.}\mathrm{}(1) \end{gathered}[/tex]Similarly,
[tex]\begin{gathered} \text{Speed=}\frac{dis\tan ce}{time} \\ b+c=\frac{200}{4} \\ b+c=50 \\ b=50-c\ldots\text{.}(2) \end{gathered}[/tex]Substituting the value of b from equation (2) then,
[tex]\begin{gathered} c+40=50-c \\ 2c=10 \\ c=5\text{ mile per hour} \end{gathered}[/tex]Substituting the value of c in equation (1) then,
[tex]\begin{gathered} b=5+40 \\ b=45\text{ mile per hour} \end{gathered}[/tex]Hence, the speed of boat is 45 mile per hour and speed of current is 5 mile per hour.
can you help me on this problem
Answer/Step-by-step explanation:
h - 4
---------- = k
j
h - 4
---------- = k( j )
j( j )
h - 4 = jk
÷k ÷k
--------------------
h - 4 h 4
------- = j or j = ---- - ----
k k k
I hope this helps!
Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If thesystem has one solution, find th e solution3x + 3y = -212x + y = - 15
Isolating the variable y in the second equation, we have:
[tex]\begin{gathered} 2x+y=-15 \\ y=-15-2x \end{gathered}[/tex]Now, using this value of y in the first equation, we have:
[tex]\begin{gathered} 3x+3y=-21 \\ 3x+3(-15-2x)=-21 \\ 3x-45-6x=-21 \\ -3x=-21+45 \\ -3x=24 \\ x=\frac{24}{-3}=-8 \\ \\ y=-15-2\cdot(-8)=-15+16=1 \end{gathered}[/tex]The solution of the system is x = -8 and y = 1.
What is the behavior of the graph y=-³-52-3x+9 at each of its zeros?
Answer:
A.
Explanation:
Using a graphing tool, we the that the graph of y = -x³ - 5x² - 3x + 9 is
Then, the zeros are the points where the graph crosses the x-axis. Therefore, we can say that one of the zeros resembles a linear function and one resembles a quadratic function because the graph looks like a line at (1, 0) and it looks like a parabola at (-3, 0).
So, the answer is
A.
use the digagramagram to
Answer:
To what?
Step-by-step explanation:
Please help! I need explanation on why the answer is what it is.
The y-intercept of the given equation is (B) -2.
What is the y-intercept?When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0. A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.So, the y-intercept will be:
Equation: 3x + 4y = -8Plot the equation on the graph as follows:
We can clearly see that the line intersecting on the y-axis is (0, -2).So, the y-intercept will be -2.Therefore, the y-intercept of the given equation is (B) -2.
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If four pounds of jelly beans costs $6.82, how much would 2 Ibs cost?
Four pounds of jelly beans: $6.82
First, calculate the cost of 1 lb by dividing the price by the number of pounds:
6.82 / 4 = $1.705 per pound
Now, multiply by 2:
1.705 x 2 = $3.41
how do i find the distance between -6 and 3 in a number line
Find the absolute value in the difference of the coordinates.
Which sequence is generated by the rule 3n - 1, where n represents the position of a term in the sequence? Select one: 1) 3, 6, 9, 12, 15... 2) 4,7, 10, 13, 16 ... 3) 4,5,6,7,8,9... 4) 2,5, 8, 11, 14 ..
The answer is 4 .
According to the statements provided, name the lines that are parallel to each other. If there is notenough information to conclude parallel, write "not enough info" and explain why.
For the given figure:
According to the statements provided, we will name the lines that are parallel to each other:
1) ∠1 ≅ ∠3; The parallel lines are (c, d)
2) ∠6 ≅ ∠9; the parallel lines are (a, b)
3) ∠6 is supplementary to ∠10; the parallel lines are (a, b)
4) ∠1 ≅ ∠11: Not enough info
5) ∠5 is supplementary to ∠8; the parallel lines are (c, d)
6) ∠3 ≅ ∠11; The parallel lines are (a, b)
7) ∠1 ≅ ∠6; Not enough info
8) ∠1 ≅ ∠14: the parallel lines are (a, b)
9) ∠15 is supplementary to ∠16; Not enough info
10) ∠13 ≅ ∠15; the parallel lines are (c, d)