Answer:
making x=0
Step-by-step explanation:
it gives you the points where the point intersects the y-axis
Answer:
A: Making x = 0
Step-by-step explanation:
The y-intercept of a function is where x is zero (i.e. [tex]f(0)[/tex])
3-) Martha O'Brien made a deposit to her checking account at an ATM and received
$75 in cash. The checks deposited totaled $50 less than twice the currency amount,
and the total deposit was $25 more than the check amount. Determine the amounts
Martha deposited in checks and in currency as well as the total deposit.
Answer:
The amount Martha deposited in checks is $150
The amount Martha deposited in cash is $100
The total deposit is $175
Step-by-step explanation:
Since Total deposit (T) = currency (C) + coins + check (Ck) - cash received (Csh)
T = C + Ck - Csh. (1)
Given that cash received (Csh) = $75,coins = 0 and the checks deposited totaled $50 less than twice the currency amount. So,
Ck = 2C - $50 (2)
Also, total deposit was $25 more than the check amount. So,
T = Ck + $25 (3)
Substituting equation (2) into (1), we have
T = C + Ck - Csh
T = C + 2C - $50 - Csh
T = 3C - $50 - $75
T = 3C - $125 (4)
Substituting equation (2) into (3), we have
T = Ck + $25
T = 2C - $50 + $25
T = 2C - $25 (5)
Equating equations (4) and (5), we have
3C - $125 = 2C - $25
Collecting like terms, we have
3C - 2C = $125 - $25
C = $100
Substituting C into (2), we have
Ck = 2C - $50
Ck = 2($100) - $50
Ck = $200 - $50
Ck = $150
We now compute T
T = C + Ck - Csh.
T = $100 + $150 - $75.
T = $250 - $75
T = $175
So, the amount Martha deposited in checks is $150
The amount Martha deposited in cash is $100
The total deposit is $175
A rectangular prism has a length of 13ft and a width of 16ft.
If the prism has a volume of 936ft3, calculate the height of
the prism. Make sure your answer includes the proper units.
Considering the volume of the rectangular prism, it is found that it's height is of 4.5 ft.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, the measures given are as follows:
l = 13 ft, w = 16 ft, V = 936 ft³.
Hence, the height, in ft, is found as follows:
[tex]V = lwh[/tex]
[tex]13 \times 16 \times h = 936[/tex]
[tex]h = \frac{936}{13 \times 16}[/tex]
[tex]h = 4.5[/tex]
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What is the equivalent decimal? Drag the answer into the box to match the fraction. 5/45
Answer:
0.11111111111
Reason :
When you divided 5 by 45, you get 0.11111111111
Which of the following is NOT true about the following equation? y=−3
A) It is the equation of a horizontal line.
B) Its slope is zero.
C) It is perpendicular to the equation y=13x+2.
D) The line does not cross the x-axis.
Answer:
The statement which is NOT true about the equation y = -3 is
It is perpendicular to the equation y = 1/3x + 2 ⇒ C
Step-by-step explanation:
Let us revise the facts of the horizontal line:
The line is horizontal if all points on it have the same y-coordinatesThe horizontal line is parallel to the x-axisThe slope of the horizontal line is zeroThe equation of the horizontal line is y = b, where b is the y-coordinate of all points on the lineThe y-intercept of the horizontal line is (0, b)∵ The equation of the line is y = -3
→ Which means the value of y = -3 at any value of x
∴ The line is horizontal
∴ Its slope = 0
∵ The horizontal line is parallel to the x-axis
∴ The line does not intersect the x-axis
∴ The true statements are:
It is the equation of a horizontal lineIts slope is zeroThe line does not cross the x-axisThe statement which is NOT true about the equation y = -3 is
It is perpendicular to the equation y = 1/3x + 2
This is a shape whose base is a circle and whose sides taper up to a point.
This shape is known a cone
Which expression is equivalent to −(4−3)?
A. −22−3
B. −22+3
C. −3−22
D. −3+22
Answer:
B.
Step-by-step explanation:
-(4 - 3) = -1.
If by 22 you mean 2^2 ( 2 squared) then it is B. -22 + 3 = -1.
Help ????????????????????
Answer:
first one is 90
second one is 108
Step-by-step explanation:
Which of this best describes the relationship of the data shown on this scatterplot?
Answer:
B No correlation
Step-by-step explanation:
Positive correlation = as x increases, y increases
Negative correlation = as x increases , y decreases
Constant correlation = as x increases, y stays the same
Which three lengths can NOT be the lengths of the sides of a triangle?
A.) 24 m, 16 m, 10 m
B.) 8 m, 9 m, 8 m
C.) 20 m, 6 m, 11 m
D.) 13 m, 10 m, 15 m
Answer:
I would say C.)
If Rafael earns $18/hr working 40 hours each week. How much will he earn in 6 months?
Answer:
Step-by-step explanation:
6 months=26 weeks
=>26x18=468
240 chocolates are put into three boxes. The chocolates are
put into either a red, yellow or blue box in the ratio 2:5:1
Work out the number of chocolates in each box.
Answer:
red: 20
yellow: 50
blue:10
Step-by-step explanation:
find number of chocolate in one box
240÷3=80
add the ratiios
2+5+1=8
divide the number of chocolate in one box by the sum of the ratio
80÷8=10
multiply the quotient by each of the quatities in the ratio
red:2x10=20
yellow:5x10=50
blue:1x10=10
What is the radius of circle P?
Diameter = 2.75
Radius(p) = 2.75/2
Answer 1.375
x- intercept of - 4 and y-intercept of -3
Answer:
(-4,-3)
Step-by-step explanation:
Not sure if tht was what you were asking, but that's how u write it as a point or vertex
Which expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds
Answer:
-18 divided by 3
Step-by-step explanation:
Rewrite the expression using only positive exponents.
PLEASE HELP!!!!
Answer:
Step-by-step explanation:
[tex]\frac{1}{5^{12} } \frac{1}{32^{3} } \frac{1}{9^{15} } \\[/tex]
Blake is saving up to buy a
new par of headphones. He
has $20 saved aready, and
he earns $10 for every lown
he mows. How many lawns will
he have to mow to have at
least $90 saved?
Answer:
7 lawns
Step-by-step explanation:
90 - 20 = 70
70 / 10 = 7
7 lawns will need to be mowed to save at least $90
Write a function t(I) that determines the number of
toothpicks in any given level of the pyramid.
Using the table, we will see that the function is:
t(l) = 3*l
How to write the function?
Here we only have a table to work with, so we need to use that.
In the table, we can see the pairs:
t(1) = 3t(2) = 6t(3) = 9t(4) = 12So, in each new level, we just add 3 more toothpicks. Even more, we can see that the number of toothpicks is 3 times the value of l (the level) for all the cases in the table. So this is a linear function.
From that we can conclude that the function will be:
t(l) = 3*l
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PLEASE HELP ASAP! 70 POINTS!
Given the parent function f(x)=|x| , write the equation of the function g(x) whose graph is pictured.
(GRAPH W/ BLACK LINE IS THE PARENT FUNCTION FOR REFERENCE. Graph w/ the orange line is the one that needs an equation)
ANSWER:
g(x) = _____
Answer:
g(x) = 3|x - 2| - 4
Step-by-step explanation:
f(x) = |x|
vertex: (0, 0) → (2, -4)
point: (1, 1) → (3, -1)
⇒ g(x) = 3f(x - 2) - 4
⇒ g(x) = 3|x - 2| - 4
Find the value of x.
Step-by-step explanation:
x²=17²+28²-2.17.28.cos114
x²=1073-952.cos114
x²=685,7867158
x=26 (≈26,18752978)
help me please. ASAP UNDER 5 MINUTES, thank you
Answer:
39
Step-by-step explanation:
I had the same exact question on a test I took
Write k/3 + 16 as words
Answer:
k divided by three plus sixteen
Step-by-step explanation:
Find the future value and the compound interest if $7000 is invested for 5 years at 14% p.a.
Answer:
14,039
Step-by-step explanation:
The interest gets you about 980 dollars a year but the compound get you around 4k on the since it doubles each year
Please Graph y<1−3x.
Bus Stop #2: initial value: 9 miles rate of change: 0.5 miles each minute Friend’s House: A 2-column table with 3 rows. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8. Seth can also get dropped off at Bus Stop #2, which is closer to his school. Which will get him to school faster? (School is 17 miles away.)
Answer:
bust stop #2 6.5 minutes
Step-by-step explanation:
Answer:
bust stop #2 6.5 minutes
Step-by-step explanation:
PLEASE HELP! WILL CROWN!! I need statements and reasons on DC and EF!!! plzzz
Answer:
DC⊥EF as the 2 angles in smallest triangle are 30 and 60 degrees, so the last one is 90 making Line DC perpendicular to Line EF.
Step-by-step explanation:
DC⊥EF means that Line DC is perpendicular (90 degrees) to EF.
To prove this, we can use the two angles of the small triangle created by the intersection of the triangles AEF and DCB.
The remaining angle of triangle AEF is 60, as all angles of triangles add up to 180 (so 180 - 12 = 60). This angle at F is shared with the little triangle.
Now we will get the angle at D using the triangle DCB. Since we are given two angles 90 and 60, angle D has to be 30.
So of our little triangle, we have angles 30 and 60, meaning the last one is 90 degrees and hence, DC⊥EF
Unit 11 Homework 5
Please help me solve these, will give brainliest. I’m failing and need this assignment to pass.
Answer:
1.=872.00
2.=3782.48
3.=121.84
5.=486.00
7.=9248.85
8.=121.50
Step-by-step explanation:
i tried my best hope this helps
The Surface Area of Prisms are shown below.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.
We have,
1. Surface area of cuboid
= 2(lw+ wh + lh)
= 2(144 + 204 + 96)
= 888 in²
2. Surface Area of Cylinder
= 2πrh
= 2,549.68 mm²
3. SA of Triangular prism
= 2 bh + (a+ b+ c)H
= 154.337 cm²
4. SA of Trapezoidal prism
= (b1 + b2)h + PH
= (5+ 19)12.1 + (8+ 19+ 8 + 19)14
= 290.4 + 756
= 1,046.4 ft²
5. SA of Cuboid
= 324 m²
6. SA of Triangular prism
= 1274.86 yd²
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What is an equation of the line that passes through the points (-6,-4) and
(-4,0)? Put your answer in fully reduced form.
Answer:
-4=-6a+b /×(-1)
0=-4a+b
4=6a-b
0=4a+b
4=10a
10a=4 /÷10
a=4/10 =2/5
4=6×2/5-b
4=12/5-b
8/5=-b
b=-8/5
[tex]f(x) = \frac{2}{5} x - \frac{8}{5} [/tex]
Answer:
y=2x+8
Step-by-step explanation:
Line CD passes through points C(1, 3) and D(4, –3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
–5
–2
1
5
Answer: 5
Step-by-step explanation:
can someone please help me with number 2 and 3? i just have to put them in a sentence
it’s something like this I think
This zigzag crystal vase has a height of 12 inches. The cross sections parallel to the
base are always rectangles that are 5 inches wide by 4 inches long.
(a) If we assume the crystal itself has no thickness, what would be the volume of the
base?
A cubic inches
(b) The crystal is actually half an inch thick on each of the sides and on the bottom.
Approximately how much space is contained within the vase?
A cubic inches
The volume of the vase when the crystal itself has no thickness will be 240 inches³.
How to calculate the volume?The volume of the vase when the crystal itself has no thickness will be calculated thus:
V = Bh
V = (4in × 5in) × 12
V = 240 inches³
When the crystal is half an inch thick on each of the sides and on the bottom, the volume will be:
= 1/2 × 240 inches ³
= 120 inches³
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