Answer:
56 half dollars
Step-by-step explanation:
A half dollar is 1/2 of a dollar so divide 28 by 1/2
28 / 1/2
Copy dot flip
28 * 2/1
56
56 half dollars
Complete the equation describing how
x and y are related.
5
1 2 3 4
8 13 18
-2
3
23
28
y = 5x + [?]
Enter the answer that belongs in [?].
Answer:
y=5x+3
Step-by-step explanation:
The equation of line is y=5x+3 since the y intercept is 3
Find SR. Help to tell me if I am correct or wrong.
Answer:
7
Step-by-step explanation:
R is mid point of IJ and S is midpoint of KJ.
So RS is half of IK.
2x-5=1/2(x+8)
4x-10=x+8
4x-x=8+10
3x=18
x=18/3=6
SR=2x-5=2(6)-5=12-5=7
Find out vector product of 3i+8j-5k and -2i+9j+7k.
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Answer:
101i -11j +43k
Step-by-step explanation:
A suitable calculator can find the cross product for you, or you can evaluate the determinant ...
[tex]\left|\begin{array}{ccc}i&j&k\\3&8&-5\\-2&9&7\end{array}\right|=i(8\cdot7-9(-5))-j(3\cdot7-(-2)(-5))+k(3\cdot9-(-2)(8))\\\\=\boxed{101i-11j+43k}[/tex]
. Using the identity (a + b)² = (a² + 2ab + b²), evaluate 112²
[tex]\\ \sf\longmapsto 112^2[/tex]
[tex]\\ \sf\longmapsto (100+12)^2[/tex]
[tex]\\ \sf\longmapsto 100^2+2(100)(12)+12^2[/tex]
[tex]\\ \sf\longmapsto 10000+2400+144[/tex]
[tex]\\ \sf\longmapsto 12400+144[/tex]
[tex]\\ \sf\longmapsto 12544[/tex]
112²
Using Identity(a + b)² = (a² + 2ab + b²)
Solution⇛112²
⇛(100 + 12)²
⇛(100)² + 2 × 100 × 12 + (12)²
⇛10000 + 2400 + 144
⇛12400 + 144
⇛12544
Tina invests $3,700 into an account with a 4.4% interest that is compounded quarterly. How much money will she have in
this account if she keeps it for 8 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
bacoot anjing
lo siapa hah kan bisa jawab sendiri sok sok minta bantuuuu
Step-by-step explanation:
maluiiin
Answer:
$5250.96
Step-by-step explanation:
Future value= Present value(1+r)^n
=3700(1+0.011)^32
r=4.4÷100÷4
n=8×4
The ratio of dogs to cats at the shelter is 5 to 6. If the total number of dogs and cats combined at the shelter is 132, then how many cats are at the shelter?
Answer:
Let's set up an equation with x as the number of times 5 and 4 are being multiplied (remember that 5:4 is a ratio, we don't know how many dogs and cats there are, just that the ratio of dogs to cats is 5:4):
5x+4x=153
9x=153
x=17
4x=4⋅17=68
There are 85 dogs (5⋅17) and 68 cats (85:68=5:4)
Lesson 1 Skills Practice
Lines For Exercises 1-12, use the figure at the right. In that figure, line m is parallel.
Classify each pair of angles as alternate interior, alternate exterior, or corresponding.
Pictures Below.
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Answer:
alternate interior: (2, 4), (3, 5)alternate exterior: (1, 7), (43°, 6)corresponding: (1, 5), (2, 6), (3, 7), alternate interior: (2, 4), (3, 5)corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)4)
Step-by-step explanation:
In this geometry, "corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel line.
"Alternate" refers to angles on opposite sides of the transversal. "Interior" and "exterior" refer to angles between and outside of the parallel lines, respectively.
Here, we list all angle pairs in each classification, so you can answer questions 1-12 based on this list.
alternate interior: (2, 4), (3, 5)
alternate exterior: (1, 7), (43°, 6)
corresponding: (1, 5), (2, 6), (3, 7), (43°, 4)
__
Additional classifications are also used:
consecutive (same-side) interior: (2, 5), (3, 4)
consecutive (same-side) exterior: (1, 6), (43°, 7)
vertical: (1, 3), (2, 43°), (4, 6), (5, 7)
linear pairs: (1, 2), (1, 43°), (2, 3), (3, 43°), (4, 5), (4, 7), (5, 6), (6, 7)
Explain how you would solve the following system of equations using substitution. math step in your explanation, too!! This is the system that you should use: y= 4x -5 y = 3x -3
Answer:
[tex]x=2\\y=3[/tex]
Step-by-step explanation:
Solve by substitution method
[tex]y=4x-5\\y=3x-3[/tex]
First, solve [tex]y=4x-5[/tex] for [tex]y[/tex]:
Substitute [tex]4x-5[/tex] for [tex]y[/tex] in [tex]y=3x-3[/tex]
[tex]y=3x-3[/tex]
[tex]4x-5=3x-3[/tex]
[tex]4x-3x=5-3[/tex]
[tex]x=2[/tex]
Now that we have the value of x
substitute [tex]2[/tex] for [tex]x[/tex] in [tex]y=4x-5[/tex]
[tex]y=4x-5[/tex]
[tex]y=4(2)-5[/tex]
[tex]y=8-5[/tex]
[tex]y=3[/tex]
∴ The value of [tex]x[/tex] is [tex]2[/tex] and the value of [tex]y[/tex] is [tex]3[/tex]
b) Express ⃗=(-2,16,2) as the linear combination of ⃗= (0, 3, 4 ) and ⃗⃗= (0, 0, -2) and ⃗= (1, -5, 0)
Answer:
[tex](-2,16,2)=2(0,3,4)+3(0,0,-2)-2(1,-5,0)[/tex]
Step-by-step explanation:
We verify this linear combination indeed gives [tex](-2,16,2)[/tex].
[tex]2(0,3,4)+3(0,0,-2)-2(1,-5,0)=(0,6,8)+(0,0,-6)+(-2,10,0)=(-2,16,2)[/tex]
Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution
Answer:
38= d - 15
Step-by-step explanation:
find the product
(4\m+m)(4/m-m)
[tex]\\ \sf\longmapsto \dfrac{4}{m+m}\times \dfrac{4}{m-m}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4\times 4}{(m+m)(m-m)}[/tex]
[tex]\boxed{\sf (a-b)(a+b)=a^2-b^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{m^2-m^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{0}[/tex]
[tex]\\ \sf\longmapsto \infty[/tex]
Answer:
(16-m^4)/m^2
Step-by-step explanation:
=([tex]\frac{4}{m}[/tex]+m)([tex]\frac{4}{m}[/tex]-m)
=[tex]\frac{4+m^2}{m}[/tex]*[tex]\frac{4-m^2}{m}[/tex] (LCM)
[tex]\frac{16-m^4}{m^2}[/tex] (a-b)(a+b)
Evaluate: 2-4
1
O A.
loo
O B.-8
O c.
1
16
O D.-16
Answer:
c is the answer
[tex] \frac{1}{16} [/tex]
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
The zeros of the polynomial 3x^4 - 5x^3 - 62x^2 - 92x - 24 are x = {-2, -1/3, 6}. Determine the intervals where the value of f(x) is a negative value. Check all that apply.
a. -∞ < x < -2
b. -2 < x < -1/3
c. -1/3 < x < 6
d. 6 < x < ∞
Answer:
c. -1/3 < x < 6Step-by-step explanation:
There are 3 zero's but we see the polynomial is of degree 4.
It means it has 2 same zero's. We can verify it is -2. Since -2 is doubled, it reflects the local minimum and it is on the x-axis.
In reality we need to consider the other two zero's.
It is obvious the negative interval is between -1/3 and 6 since the polynomial is of even degree and has positive leading coefficient.
Correct choice is c.
The graph is attached to confirm the theory.
A^2 + 2AB +B^2
habsbsjabdhjsbfhjbsdjh
What is the mean for the data shown in the line plot?
5 and 7
5
4
8
Answer:
The mean of the data: 5,7,5,4,8 is 5.8
Step-by-step explanation:
To find the mean, add up the numbers, then divide them by the number of data points. So 5 + 7 + 5 + 4 + 8 = 29, and 29 divided by 5 is 5.8
What is the point-slope form of a line with slope -4 that contains the point
(-2, 3)?
A. y + 3 = 4(x + 2)
B. y - 3 = -4(x + 2)
c. y + 3 = -4(x - 2)
D. y - 3 = 4(x + 2)
Answer:
y-3 = -4(x+2)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-3 = -4(x --2)
y-3 = -4(x+2)
Which graph best represents the equation –x + 2y = 4?
Answer:
C
Step-by-step explanation:
Convert the equation into slope intercept form : y=mx+b
2y=x+4
y=1/2x + 2
The m is the slope and the b is the y intercept
In this equation, the slope is 1/2 and the y intercept is 2
The only graph with y intercept 2 is C
express 24.123eight to base ten
To convert [tex]24.123[/tex] in base 8, also notated with [tex]24.123_8[/tex] into base 10 simply multiply each digit with 8 to the power of its position relative to the decimal point.
So,
[tex]24.123_8=2\cdot8^1+4\cdot8^0+1\cdot8^{-1}+2\cdot8^{-2}+3\cdot8^{-3}=20.162109375_{10}[/tex]
Hope this helps :)
write each equation explicitly in terms of x. then indicate whether the equation is a function.
3xy+x=y-6
We usually write explicit functions as one variable in terms of another variable. A simple example of an explicit function is a linear function, such as y = 4x - 7. This function is written as the dependent variable y in terms of the independent variable x.
Annie is opening a savings account which earns 5.2% interest, compounded continuously.
How much will she need to deposit in the account so that she has $2300 after 7 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
1686.22
Step-by-step explanation:
2300=P(1+(0.052x7))
2300=P1.364
P=2300/1.364
=1686.217...
=1686.22...
=1686 FOR THE NEAREST DOLLAR
Find the surface area of the figure round your answer to the nearest tenth if necessary
Answer:
.kpokojj8nvchrfhuthuvu9jeuvh
Step-by-step explanation:
j8tguhrhfgzhedh8ugh8euweuhujdhhruehf hhcufe7fhd fu y in my as 08ygrt8hthts8hewhrs8h8h8
In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth. law of sines 4
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Answer:
a ≈ 12.8
Step-by-step explanation:
To find 'a' using the law of sines, we need the measure of the angle opposite a given side. Here, that would be angle C.
C = 180° -A -B = 180° -45° -25° = 110°
Now, we can find 'a' to be ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 17·sin(45°)/sin(110°)
a ≈ 12.7923
a ≈ 12.8 . . . . rounded to tenths
Let
A ={1,2,6,7,8,13,15} and B= {1,2,5,6,8,12,15, 18, 20}
Find the following:
LIST the elements in the set
A∪B :
A∪B = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set
A∩B :
A∩B= { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
Answer:
AUB=(1,2,5,6,7,8,12,13,15, 18,20)
AnB={1,2,6,7,8}
Answer:
Hello,
Step-by-step explanation:
[tex]A =\{1,2,6,7,8,13,15\} \\B= \{1,2,5,6,8,12,15, 18, 20\}\\\\A\ \bigcup\ B=\{1,2,5,6,7,8,12,13,15,18,20\}\\\\A\ \bigcap\ B=\{ 1,2,6,8,15\}\\[/tex]
Identify the type of equation: y-6 = 7(x+8)
Step-by-step explanation:
Recognize the relation between the graph and the slope–intercept form of an equation of a line
Identify the slope and y-intercept form of an equation of a line
Graph a line using its slope and intercept
Choose the most convenient method to graph a line
Graph and interpret applications of slope–intercept
Use slopes to identify parallel lines
Use slopes to identify perpendicular lines
a grocery store cashier packed 2 carts of groceries equally into 12 paper bags. what fraction of a cart is in each bag?
Answer:
Step-by-step explanation:
(2 carts)/(12 bags) = (⅙ cart)/bag
find the measure of c
Answer:
A. 149
Step-by-step explanation:
When a quadrilateral is inscribed in a circle, the sum of the opposite angles in the quadrilateral equal (180) degrees. Applying this theorem here, one can state the following:
c + 31 = 180
Inverse operations,
c + 31 = 180
c = 149
Thus, option (A) is the correct angles: ( c = 149°)
Please help me to find out the answer
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Answer:
34.58 in
Step-by-step explanation:
Relative to the angle marked in this right triangle, the side given is the "adjacent" side, and the side length wanted is that of the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Solving for the hypotenuse, we get ...
NP = (29 in)/cos(33°) ≈ 34.58 in
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $2, sales will reach 6000 Fun Noodles per day during the summer. Raising the price to 3$ will cause the sales to fall to 5000 Fun Noodles per day.
a. Assume that the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pairs of the form (sales price, number sold).
b. Predict the daily sales of Fun Noodles if the price is 2.50
Answer:
don't know if i'm right but i think it's B
Complete the function table
Evaluate the line integral
Soydx + zdy + xdz,
[»= f (t)=dw= f'(t)dt
where C is the parametric curve
x=t, y=t, z=ť, Ost<1.
It looks like you're asked to compute
[tex]\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz[/tex]
where C is parameterized by ⟨t, t, t⟩ with 0 ≤ t ≤ 1.
In other words, x = y = z = t, so dx = dy = dz = dt, and the integral reduces to
[tex]\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz = \int_0^1 t\,\mathrm dt + t\,\mathrm dt + t\,\mathrm dt \\\\ = 3 \int_0^1 t\,\mathrm dt \\\\ =\frac32t^2\bigg|_{t=0}^{t=1} \\\\ =\boxed{\frac32}[/tex]
