Answer:
The graph of y=f(x) will shift up 20 units.
Explanation:
If we have a function h(x) = g(x) + c
Where c is a constant. We can say that h(x) is g(x) shifted c units up
Then, if the new graph is y = f(x) + 20, we can said that it is the graph of y = f(x) shifted 20 units up.
x^2+y^2=37; x^2=y-5 what are points of intersection?
Answer: is 0 i don really know xd
Step-by-step explanation:
What is the quotient of 67,860 ÷ 13?
Answer:
5220
Step-by-step explanation:
If f (x)
6x – 6 , find f (-1)
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
HELP ME ASAP PLS. If 19,432 divided by x equals 48 with a remainder of 232. What is X?
The value of x, given that when it divides a number, there is a quotient and a remainder, is 400
How to find the value of x?To find the value of divisor, we can use a variant of the division algorithm formula :
Divisor = ( Dividend - Remainder ) / Quotient
x is the divisor
Dividend = 19, 432
Remainder = 232
Quotient = 48
This means that the value of x is:
x = ( 19, 432 - 232 ) / 48
x = 19, 200 / 48
x = 400
In conclusion, x is 400.
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The sum of two consecutive odd
numbers is 64. Name the numbers.
Answer:
31 and 33
Step-by-step explanation:
Odd numbers are apart by 2: 1, 3, 5, 7, for example.
1. x + (x+2) = 64
2. 2x + 2 = 64
3. x = 31
4. 31 + (31 + 2) = 64
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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The diagram shows a hexagon-shaped tile used for flooring. Each hexagon tile has an area of 18V3 in? Find x.
witch expression is equivalent
The equivalent expression of -14 - 6 is -14 - (+6)
What are equivalent expression?Equivalent expressions are expressions that have the same value when evaluated
How to determine the equivalent expression?The expression is given as:
-14 - 6
Put the terms of the expression in brackets
-14 - (6)
Rewrite 6 as +6
-14 - (+6)
Hence, the equivalent expression of -14 - 6 is -14 - (+6)
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Plot the coordinates on the number line provided and then find the coordinate of the indicated point
on a number line that partitions the segment into the given ratio.
A is at 1, and B is at 10. Find the point, T, so that T is two-thirds of the distance from A to B.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7 89
+
10
Answer:
t = 6.8
Explanation:
We know that A is at 1, B is at 10, so that is where we place those two.
First, we need to know what 2/3 of 10 is because the distance between A and B is 10.
Solving 2/3 of 10:
_____________________
- Divide 10 by the denominator, 3
10 ÷ 3 = 3.3333......
- Multiply 3.3333..... by 2
3.3333..... x 2 = 6.6666666666667
or about 6.8 if we round up, which is prefered in these scenarios
Now that we know what 2/3 of 10 is, we can use that number as where to put it on the number line.
So t = 6.8
Hope this helps :)
I NEED HELPP Solve for PMR please
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
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Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?
Answer:
12 minutes
4*3
That's the answer
Someone Help pls asap! I need an answer to fill in the box.
Answer: 3 part answer
-2
-10
10
Step-by-step explanation:
If you move twice to the left, end up at -2
2 × -5 = -10
opposite of -10 is 10
One dealer is selling the Nissan Leaf Hatchback for $25,600.00. Their finance company is offering a 72-month amortized loan at a rate of 1.75%. Assume a down payment of 17%
What will the monthly payment be?
How much will the car cost, in total?
How much money will be paid in interest?
If you agreed to make payments once every 2 weeks, what would your payments be?
Answer: the answer is D i just did that
Step-by-step explanation:
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.
The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3
To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:
Since for all x > 0, we have:
Thus, by the limit comparison test:
converges if and only if converges.
We can evaluate using the power rule of integration:
where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:
∫(1/x^4) dx from 1 to infinity = lim as b → infinity
=>
=> 0 - (-1/3)
=> 1/3
Since the integral dx converges by comparison to a convergent integral, and its value is 1/3.
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Note: The full question is
Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1
Convert 3 pints into liters. Round your answer to the nearest hundredth
Answer:
1.42 liters is the correct answer
1 1/2 x 3/4 pls full aswer
Answer:
1.125 or 9/8
Step-by-step explanation:
Write these numbers in decreasing order
-4. 1 2/3, 0.5, -1 3/4, 0.03, -1, 1, 0, -103, 54
Answer: 54, 1 2/3, 1, 0.5, 0.03, 0, -1/4, -1, -4, -103
Step-by-step explanation:
54, 1, 1 2/3, 0.5, 0.03, 0, -1/4, -1, -4, -103.
First, we order the numbers by their sign: 54, 1, 1 2/3, 0.5, 0.03, 0, -1/4, -1, -4, -103.
Then we order the positive numbers in decreasing order: 54, 1 2/3, 1, 0.5, 0.03, 0.
Finally, we order the negative numbers in increasing order: -103, -4, -1, -1/4.
Putting it all together, we have: 54, 1 2/3, 1, 0.5, 0.03, 0, -1/4, -1, -4, -103.
w
Z
х
Z is in the interior of ZWXY.
If m2WXZ= 110°, and m2ZXY = 20°,
what is m2WXY?
9514 1404 393
Answer:
130°
Step-by-step explanation:
The angle sum theorem applies.
∠WXY = ∠WXZ +∠ZXY
∠WXY = 110° +20°
∠WXY = 130°
Frank invested his savings in two investment funds. The amount he invested in fund A was $2000 less than the amount he invested in fund B. Find A returned a 5% profit and fund B returned a 3% profit. How much did he invest in fund B, if the total profit from the two funds together was $1100?
Let x be the amount invested in fund B, then amount invested in fund A is (x -2000).
The profit from fund A is 5% of (x - 2000) and profit from fund B is 3% of x. The total profit from fund A and fund B is 1100, so
\(\frac{5}{100}\cdot(x-2000)+\frac{3}{100}\cdot x=1100\)Simplify the equation for x.
\(\begin{gathered} \frac{5}{100}\cdot(x-2000)+\frac{3}{100}\cdot x=1100 \\ \frac{5}{100}x-100+\frac{3x}{100}=1100 \\ \frac{8x}{100}=1100+100 \\ x=1200\cdot\frac{100}{8} \\ =15000 \end{gathered}\)So amount that Frank invested in plan B is $15000.
If 900-420 +49 = (a - b)^2, what is the value of a - b ?
We can simplify the left-hand side of the equation first:
900 - 420 + 49 = 529
Now we can rewrite the equation as:
529 = (a - b)^2
To solve for a - b, we can take the square root of both sides:
√529 = |a - b|
Since the square root of a positive number is always positive, we can remove the absolute value:
a - b = ±23
Therefore, the value of a - b could be either positive 23 or negative 23.
The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension in cable AB is 183 lb and that the resultant of the load P and of the forces exerted at Aby the two cables must be directed along OA, determine the tension in cable AC 36 in с 25 in. 24 in. B 29 in 45 in The tension in the cable AC is Ib.
Using the method of joints, the tension in cable AC is found to be 158.4 lb. This is determined by analyzing the forces acting on each joint of the truss and applying the equilibrium equations.
We can start by drawing a free-body diagram of the boom OA and applying the equations of equilibrium. Since the resultant of the load P and cable forces must be directed along OA, we can resolve forces in the horizontal and vertical directions. Let T be the tension in cable AC. Then, resolving horizontally, we have:
T cos 36° = 183 lb
And resolving vertically, we have:
T sin 36° = P
Using trigonometric identities, we can solve for T and obtain:
T = P / sin 36° = (183 lb) / cos 36°
The exact value of T will depend on the magnitude of the load P.
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For triangle ABC use the Triangle Proportionality Theorem to solve for x. Show all of your work for full credit.
Answer:
x=17
Step-by-step explanation:
See attached.
Because of the Triangle Proportionality Theorem,
24: (2x-4)+6
20: 2x-4
Cross multiply these two ratios
48x-96 = 40x-80+120
Isolate variable: 8x = 96-80+120
Solve: 8x = 136
x=17
у-2100-25000оN50Is it a functio
No, it isn't a function because -2 has to values.
To be a functin, the values of x must have only 1 value.
The second one, it is a function
A scientist needs 60 milliliters of buffer solution for each of 13 experiments. He has a bottle that
contains 971 milliliters of buffer solution. Is there enough buffer solution in the bottle for all 13
experiments? Explain
Answer:
Yes
Step-by-step explanation:
60 × 13 = 780 milliliters
due to 971 > 780
therefore there is enough buffer solution in the bottle for all 13 experiments
Convert the following equation
into standard form.
y = -7x/2 - 3
Answer:
7x + 2y = - 6
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )
2y = - 7x - 6 ( add 7x to both sides )
7x + 2y = - 6 ← in standard form
Find (x + 3)(4x - 1). *
O4x2 - 11x-3
O 4x^2 + 11x - 3
O 4x^2 + 13x - 3
4x^2 + 12x - 3
Answer:
Step-by-step explanation:
(x+3)(4x-1) = 4x² + 12x - x - 3 = 4x² + 11x - 3
I need to find the x of the triangle.
Question 7 of 17
Question 7
V
>
Suppose that A and B are points on the number line.
If AB= 6 and A lies at 14, where could B be located?
If there is more than one location, separate them with commas.
Location of B when AB = 6 and Point A is located at point 14 on the number line is 20,-8.
There are two kinds of numbers on a number line. First is positive number and the second is negative number. Both of the numbers are separated by the number 0 which is known as the origin. Positive numbers lie on the right side of the origin and negative numbers lie on the left side of the origin.
According to the question we have been given that A and B are two points on the number line.
The distance between A and B is 6, implying that A is 6 units distant from B. AB = 6
The coordinates of point A are 14, hence A = 14.
As a result, the distance between Point A and Point B is given by
14 + 6 = 20 and 6 - 14 = -8.
As a result, B is positioned on the number line at points 20, -8.
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A rectangular prism has a base area of 17 cm², and a height of 5 centimeters. What is the volume of the prism?
Answer:
85cm^3
Step-by-step explanation:
Volume = Base Area * Height
17*5=85
Pls someone help im stuck with this one and i dont know what im supposed to do with the thing at the bottom
If in a triangle ABC, right angle is at C, BA is hypotenuse, the length of side BC is 5√7 units.
In a right triangle, the hypotenuse is the longest side and is opposite the right angle. Therefore, in triangle ABC, side BA is the longest side, and it is also the hypotenuse.
Using the Pythagorean theorem, we can find the length of the third side BC. The theorem states that the square of the hypotenuse (BA²) is equal to the sum of the squares of the other two sides (BC² + CA²).
BA² = BC² + CA²
16² = BC² + 9²
256 = BC² + 81
BC² = 256 - 81
BC² = 175
BC = √175
BC = 5√7
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