The point of intersection of the lines modelled by the equations y=-3x + 4 and y=x-4 as required is; (2, -2).
What is the point of intersection of the two given lines?It follows from the task content that the point of intersection of the lines is to be determined.
Since the given equations are;
y = -3x + 4 and y = x - 4
First, equate y to y so that we have;
-3x + 4 = x - 4
-4x = -8
x = 2.
To determine the value of y, substitute x = 2 into y = x - 4
y = 2 - 4; y = -2.
Ultimately, the point of intersection of the two lines as an ordered pair is; (2, -2).
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Kaylie wants to see how metals can be combined. She found a problem to solve. Help her solve it! How many pounds of a metal containing 20% nickel must be combined with 6 pounds of a metal containing 80% nickel to form an alloy containing 60% nickel?
PLEASE HURRY AND SHOW YOUR WORK
A. 5 pounds
B. 4 pounds
C. 3 pounds
D. 2 pounds
Answer:
C. 3 pounds
Step-by-step explanation:
to use % as factors we need to represent them as what they are : parts of 100.
so, e.g. 20% = 0.2 and so on.
x = pounds of the metal with 20% nickel.
0.2x + 0.8×6 = 0.6×(x + 6) = 0.6x + 3.6
0.2x + 4.8 = 0.6x + 3.6
1.2 = 0.4x
x = 1.2/0.4 = 3
she needs to combine 3 pounds of metal with 20% nickel with 6 pounds with 80% nickel to get 9 pounds (3+6) of an alloy with 60% nickel.
√² +13
Simplify
63x
real numbers and p and q are rational.
01
1
1
1/3
1/3
+
+
13
6
< Previous
-.Write the answer in the form ax² + bx without using radicals. a and bare
13x¹/3
6
13
1/3
+ -x-1/3
6
Next ▸
Answer:
third answer option
Step-by-step explanation:
[tex] \sqrt[3]{ {x}^{2} } = {x}^{ \frac{2}{3} } [/tex]
[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]
[tex] \frac{1}{ {x}^{ \frac{1}{3} } } = {x}^{ - \frac{1}{3} } [/tex]
[tex] \frac{ {x}^{ \frac{2}{3} } }{6 {x}^{ \frac{1}{3} } } = \frac{1}{6} \times {x}^{ \frac{1}{3} } [/tex]
[tex] \frac{13}{6 {x}^{ \frac{1}{3} } } = \frac{13}{6} \times {x}^{ - \frac{1}{3} } [/tex]
so, the result is
[tex] \frac{1}{6} \times {x}^{ \frac{1}{3} } + \frac{13}{6} \times {x}^{ - \frac{1}{3} } [/tex]
The diameter of a cylindrical construction pipe is 15 ft . If the pipe is 26 ft long, what is its volume?
Answer:
390
Step-by-step explanation:
What is the mean (rounded to the nearest hundredth) of
90.75
99.17
71.80
100.00
97.33
79.58
92.58
87.09
81.59
91.86
and 94.18
What is 27/1000+2/10 on a hundred block? as a fraction.
The solution is given below.
The result of the mixed digits given when expressed as improper fractions are as follows;
3 1/2 = ((2×3)+1)/2 = 7/2
7 4/5 = ((5×7)+4)/5 = 39/5
5 3/4 = ((4×5)+3)/4 = 23/4
4 1/3 = ((3×4)+1)/3 = 13/3
4 2/3 = ((3×4)+2)/3 = 14/3
5 1/5 = ((5×5)+1)/5 = 26/5
8 2/3 = ((3×8)+2)/3 = 26/3
2 3/5 = ((5×2)+3)/5 = 13/5
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complete question:
3 1/2 as a improper fraction7 and 4/5 as an improper fraction5 3/4 as an improper fraction4 1/3 as an improper fraction4 + 2/3 as an improper fraction5 1/5 as an improper fraction8 2/3 as an improper fraction 2 3/5 as an improper fraction
QRST is a square inscribed is in O. The radius of O is 4.
30). Find the area of the circle.
31). Find the area of the square.
32). Find the area of the shaded region.
The area of the circle is 50.24.
The area of the square is 32.
The area of the shaded region is 18.24.
We have,
From the figure,
Area of the circle.
= πr²
Radius = 4
So,
= 3.14 x 4 x 4
= 50.24
In the triangle QST,
TS and TQ are congruent.
TS = TQ = x
QS = 8
This means,
From the Pythagorean theorem,
8² = x² + x²
64 = 2x²
x² = 32
x = √(16 x 2)
x = 4√2
Area of the square.
= Side²
Side = x = 4√2
= (4√2)²
= 16 x 2
= 32
Now,
Area of the shaded region.
= Area of the circle - Area of the square
= 50.24 - 32
= 18.24
Thus,
The area of the circle is 50.24.
The area of the square is 32.
The area of the shaded region is 18.24.
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What is the surface area of the triangular prism?
10 cm
5 cm
5 cm
5 cm
4 cm
The surface area of the triangular prism is 120 sq cm
What is the surface area of the triangular prism?From the question, we have the following parameters that can be used in our computation:
Dimensions = 10 cm 5 cm 5 cm 5 cm and 4 cm
Using the formula of the surface area of the triangular prism, we have
Surface area = bh + (l1 + l2 + l3) * h
Substitute the known values in the above equation, so, we have the following representation
Surface area = 10 * 5 + (5 + 5 + 4) * 5
Evaluate
Surface area = 120
Hence, the surface area is 120 sq cm
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A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
B
A
36°
A. 2.4 yds
B. 3.6 yds
b
C. 2.8 yds
D. 3.2 yds
3 yds
Triangle not drawn to scale
28°
C
Answer: 2.4
Step-by-step explanation: obviously not anywhere close to 3 trust
Help please, view attachment below
The required, in a reflection of triangle AB ≡ A'B' and ΔABC ≡ ΔABC are true.
AB ≡ A'B': True, because a reflection conserves length, so corresponding segments are congruent.
BC < B'C': False, in general, the length of conserves is preserved under a reflection, so BC = B'C'.
Triangle BACE = triangle B'A'C': True, because a reflection also conserves shape and size, so corresponding angles and sides are congruent.
∠BCA > ∠B'C'A': False, because the measure of an angle is not preserved under a reflection.
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which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
Answer:
Simplifying the expression `n + n - 0.18n`, we get:
n + n - 0.18n = 2n - 0.18n
Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.
Looking at the answer choices:
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.
Therefore, the answer is d. 2n - 0.82.
Step-by-step explanation:
Brenda is a metalsmith who makes custom signs out of different types of metals. She sold 10
signs this week in the following metals:
copper, silver, brass, silver, aluminum, copper, brass, copper, silver, copper
Based on the data, estimate how many of the next 40 signs Brenda sells will be made of
brass.
If necessary, round your answer to the nearest whole number.
Answer:
8
Step-by-step explanation:
Brenda sold 2 brass signs of the 10 signs she sold this week. You want an estimate of the number of brass signs she will sell out of the next 40.
ProportionWe expect the proportion of brass signs to remain the same, so the number (x) of brass signs in the next 40 signs is expected to be ...
x/40 = 2/10
x = 40(2/10) = 8
We estimate Brenda will sell 8 brass signs out of the next 40 signs she sells.
<95141404393>
Select the correct sentences in the passage. Which statements are true? Any two squares are either similar or congruent. If two lines are parallel, they never intersect. If all the angles of a polygon are congruent, then it is a square. The intersection of two lines always forms 4 congruent angles. A line can be drawn through any two distinct points.
The correct sentences in the passage are option A, option B, and option E.
Any two squares are either similar or congruent. If two lines are parallel, they never intersect.A line can be drawn through any two distinct points.Let's check all the options, then we have
Any two squares are either similar or congruent. The statement is true.
If two lines are parallel, they never intersect. The statement is true.
If all the angles of a polygon are congruent, then it is a square. The statement is false because a regular polygon has an equal angle but it may be a pentagon, hexagon, etc.
The intersection of two lines always forms 4 congruent angles. The statement is false because opposite angles are the same. But if adjacent angles become the same, then the statement will be true.
A line can be drawn through any two distinct points. The statement is true.
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Simplify:
Please see the attachment.
Answer:
Step-by-step explanation:
[tex]\frac{9\sqrt{x} -6}{\sqrt{x} +7} \times \frac{\sqrt{x} -7}{\sqrt{x} -7} \\=\frac{9(x)-63\sqrt{x} -6\sqrt{x} +42}{(\sqrt{x} )^2-7^2} \\=\frac{9x-69\sqrt{x} +42}{x-49}[/tex]
Convert the following decimal (base 10) numbers to Mayan notation. Show your calculations used to get your answers.
a) 234
b) 10, 503
The Mayan notation is shown below.
1. 234
The highest power of 20 that will divide into 3575 is 20² = 400
So, 234/ 400 = 0.585
0.585 x 20=11.7
0.7 x 20= 14
So, 234₁₀= 11,14₂₀
Now, the Mayan notation will be
14 in the ones position three bars at the bottom of the number.
11 the 20s place, so that’s three bars and three dots in the second position.
2. 10503
The highest power of 20 that will divide into 3575 is 20² = 400
So, 10503/ 400 = 26.2575
0.2575 x 20= 5.15
05.15 x 20= 3
So, 234₁₀= 26, 5,3₂₀
Now, the Mayan notation will be
3 in the ones position three dots at the bottom of the number.
5 the 20s place, so that’s one bars and three dots in the second position.
and, 26 shows by 2 vertical dots and bar.
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(a) How much stronger is a magnitude 7 earthquake than a magnitude 6 earthquake?
_____ times as strong
(b) How much stronger is a magnitude 9 earthquake than a magnitude 6 earthquake?
_____ times as strong
a. The magnitude of earthquake 7 is 1.259 times stronger than a magnitude 6 earthquake
b. The magnitude of earthquake 9 is 1.995 times stronger than a magnitude 6 earthquake
What is the magnitude of an earthquake?The magnitude of an earthquake is given by M = 10㏒(A/A₀) where A = intensity of eartquake and A₀ = standard intensity
a. To find out how much stronger is a magnitude 7 earthquake than a magnitude 6 earthquake, we proceed as folllows.
For a magnitude of 7,
M = 7 and intensity = A'So, M = 10㏒(A'/A₀)
7 = 10㏒(A'/A₀) (1)
For a magnitude of 6,
M = 6 and intensity = A"So, M = 10㏒(A'/A₀)
6 = 10㏒(A"/A₀) (2)
Subtracting (2) from (1), we have that
7 - 6 = 10㏒(A'/A₀) - 10㏒(A"/A₀)
1 = 10㏒[(A'/A₀) ÷ (A"/A₀)]
1 = 10㏒[(A'/A")
㏒[(A'/A") = 1/10
Taking inverse logarithm, we have
(A'/A") = ¹⁰√10
= 1.259
So, it is 1.259 times stronger
b. To find out how much stronger is a magnitude 9 earthquake than a magnitude 6 earthquake, we proceed as folllows.
For a magnitude of 9,
M = 9 and intensity = A'So, M = 10㏒(A'/A₀)
9 = 10㏒(A'/A₀) (1)
For a magnitude of 6,
M = 6 and intensity = A"So, M = 10㏒(A'/A₀)
6 = 10㏒(A"/A₀) (2)
Subtracting (2) from (1), we have that
9 - 6 = 10㏒(A'/A₀) - 10㏒(A"/A₀)
3 = 10㏒[(A'/A₀) ÷ (A"/A₀)]
3 = 10㏒[(A'/A")
㏒[(A'/A") = 3/10
Taking inverse logarithm, we have
(A'/A") = 10⁰°³
= 1.259
So, it is 1.995 times stronger
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Heather's statement shows a previous balance
of $1413.92, a payment of $40, and new
transactions totaling $381.51. What is her
new balance if her APR is 16.2%?
Heather's new balance if her APR is 16.2% is, $1773.98
We have to given that;
Heather's statement shows a previous balance of $1413.92, a payment of $40, and new transactions totaling $381.51.
Hence, We have;
Previous balance: 1413.92
payment: 40
new transaction: 381.51
APR: 16.2%
So, We need to divide APR by 12 to get the monthly rate:
16.2% / 12 = 1.35%
⇒ 1413.92 - 40 = $1373.92
And, Interest for month = 1373.92 x 1.35%
= $18.55
Since, We did not include 138 because it still is within the 1 month period and it is not subject to interest.
Only the revolving amount of 1373.92 has interest.
So, Heather's new balance if her APR is 16.2% is,
= 1373.92 + 18.55 + 381.51
= $1773.98
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Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf.
She writes the expression (x−5)(50−2x)
to represent her profit based on the price per scarf, x
.
Enter Sofie's average change in profit for two different sections of the graph.
A graph has price per scarf (dollars) on the x-axis, and profit (dollars) on the y-axis. A parabola with equation f (x) = (x minus 5) (50 minus 2 x) opens down and goes through (5, 0), has vertex (15, 200), and goes through (25, 0).
CLEAR CHECK
What is Sofie's average change in profit from x=5
to x=15
?
For every $1
increase in the price per scarf, Sofie's profit changes by an average of $
.
What is Sofie's average change in profit from x=15
to x=25
?
For every $1
increase in the price per scarf, Sofie's profit changes by an average of $
.
Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answer:
1/15 or 0.0667
Step-by-step explanation:
brainly.in/question/40960504
bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
1. A trapezoid is shown. What is the area of the trapezoid?
Answer:
312 cm^2
Step-by-step explanation:
(6x24)+2(24x7/2)
144+168= 312
need ASAP! please help with this.
According to the information, the ball returns to the ground about 13.6 feet away.
How to calculate how many feet away the ball returns to the ground?To calculate how many feet away the ball returns to the ground we have to consider that the ball starts 0 feet above the ground (assuming the ground level is the reference point, where h(x) = 0).
To find the maximum height, we need to find the vertex of the parabola, which occurs at
x = -b/2a
where,
a = -0.25
b = 3.4.
x = -3.4 / (2 * (-0.25)) = 6.8
So, the ball reaches a max height of h(6.8) = -0.25(6.8)^2 + 3.4(6.8) = 8.2 feet at a horizontal distance of 6.8 feet away from the club it was hit with.
To find when the ball returns to the ground, we set h(x) = 0 and solve for x:
0 = -0.25x^2 + 3.4x
0.25x(13.6 - x) = 0
x = 0 or x = 13.6
Since x = 0 is the starting point, the ball returns to the ground at x = 13.6 feet away from the club it was hit with.
Therefore, the ball returns to the ground about 13.6 feet away.
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a line has the equation y=6x+19 what are the coordinates of the y intercept
Answer:
The equation of the line is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
From the given equation, we can see that the y-intercept is 19. This means that the line passes through the point (0, 19).
Therefore, the coordinates of the y-intercept are (0, 19).
The y-intercept of the equation y=6x+19 is the value of y when x equals 0, which is at the point (0,19).
Explanation:The y-intercept refers to the point where the line crosses the y-axis. In the equation of a line in slope-intercept form, y=mx+b, 'b' represents the y-intercept.Therefore, in the equation y=6x+19, the y-intercept is at the point (0, 19). Hence, the coordinates of the y-intercept are (0,19).
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The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of v(9) = 277
A. A Gube with a volume of 3 cubic feet has side lengths of 27 feet.
B. 3 sides of the cube have a total length of 27 feet.
6. A cube with side lengths of 3 feet has a volume of 27 cubic feet
D. 3 of these cubes will have a total volume of 27 cubie feet.
The best interpretation of v(9) = 277 is a cube with side lengths of 9 feet has a volume of 277 cubic feet
What is the best interpretation of v(9) = 277From the question, we have the following parameters that can be used in our computation:
The volume of a cube depends on the length of its sides.
And this is represented in function notation as v(s)
The function notation v(s) means
The volume of cube with side length s is v
Using the above as a guide, we have the following:
A cube with side lengths of 9 feet has a volume of 277 cubic feet
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Answer:
19.1
I found it out after I got the ansewer wrong on IXL
help me pls right answer only. here is screenshot algebra, quick
x at the vertex would help Charlie to find out how long it takes his basketball to reach the highest point.
When a quadratic function is in vertex form, the vertex (h, k) represents the highest or lowest point of the parabola.
In this case, the time it takes for the basketball to reach the highest point can be found by finding the x-value of the vertex of the function that represents the height of the basketball over time.
Therefore, option (A) x at the vertex would help Charlie to find the time at which the basketball reaches the highest point.
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find the measure of each numbered angle:
(Also, can you explain how you got one of the answers just so i know)
Answer:
A. 115
B. 65
C. 115
D. 65
E. 115
F. 665
G. 115
Step-by-step explanation:
a straight line is a 180 degree angle. If one of 2 angles is 65 degrees the other angle will be 115 because 180-65= 115
since both lines on the graph are parallel the angles will be coresponding.
A teacher has a box of 100 pencils and wants to divide it equally among 25 students what fraction of the box of pencils would each student get
Answer:1/25
Step-by-step explanation:100/25=4. So 1/25 of the box.
how to find the coefficiants below
Answer:
0, -1, 0, 1/6, 0
Step-by-step explanation:
f(x) = sin(x), f'(x) = cos(x), f''(x) = -sin(x), f'''(x) = -cos(x), f''''(x) = sin(x)
evaluated at pi/2 they are 0, -1, 0, 1, 0, respectively
but we have to divide each term by their respective factorials, which turns them into 0/(0!), -1/(1!), 0/(2!), 1/(3!), 0/(4!) = 0, -1, 0, 1/6, 0
if you're wondering why here's a great vid by khan academy
https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-11/v/maclaurin-and-taylor-series-intuition
gl on your homework :)
14. A 20 ft ladder leans against a wall. The ladder hits the wall at a height of 16 ft above the ground.
Find the angle of elevation. Include a sketch. Round to the nearest tenth.
The angle of elevation is 53.1( nearest tenth)
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight. Trigonometric ratio is mainly used to solve problems in this case.
A 20ft ladder leans against the wall, the height of the wall will be the opposite to angle of elevation and the height of the ladder will be the hypotenuse.
Therefore using trigonometry ratio;
sin( tetha) = opp/hyp
sin(tetha) = 16/20
sin(tetha) = 0.8
tetha = sin^-1(0.8)
tetha = 53.1°( nearest tenth)
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3x^3-9x^2-30x check for GCF
Thegreatest common factor of the expression 3x^3-9x^2-30x is 3x.
Which is the greatest common factor?Here we want to get the greatest common factor of the expression:
3x^3-9x^2-30x
We can se that all the terms have some multiple of 3 and some power of x, then the greatest common factor of the given expression is just 3x.
3x^3-9x^2-30x = 3x*(x^2 - 3x - 10)
If you expand the thing in the right you will get the original expression.
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Jordan has gone into the nut business. He wants to make a mixture of walnuts and cashews that cost $1.00 per pound. How many pounds of walnuts that cost $0.80 per pound must be mixed with 8 pounds of cashews that costs $1.25 per pound to make his mixture of nuts cost $1.00 per pound?
A. 16 lbs
b. 11 lbs
c. 20 lbs
d. 10 lbs
Answer:
The answer is (d) 10 lbs.
Step-by-step explanation:
Let's start by using the weighted average formula:
weighted average price = (price of first item x weight of first item + price of second item x weight of second item) / total weight
Let x be the number of pounds of walnuts needed.
The total weight of the mixture is x + 8 pounds.
The price of the walnuts is $0.80 per pound, and the price of the cashews is $1.25 per pound.
We want the mixture to cost $1.00 per pound.
Using the formula, we get:
1.00 = (0.80x + 1.25(8)) / (x + 8)
Simplifying, we get:
1.00(x + 8) = 0.80x + 10
1.00x + 8.00 = 0.80x + 10.00
0.20x = 2.00
x = 10
Therefore, Jordan needs to mix 10 pounds of walnuts with 8 pounds of cashews to make a mixture that costs $1.00 per pound.
EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%
Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.
What happened during emergency repair of $305?4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.
5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.
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Full Question:
See attached image.
Reflect
4. Analyze Relationships One month, the family must make an
emergency car repair for $305. Are they able to pay for it out of the
fixed emergency fund for that month? If not, how can they afford it?
5. The family wants to make a trip to Houston to visit the NASA Space
Center. What are some ways they can save without using all of the
allotted $160 for entertainment
