Answer:
-10 1/2
Step-by-step explanation:
-2 2/5 times 4 3/8
Turn fractions into mixed numbers: -12/5 and 35/8
Cross multiply: -12/5 times 35/8= 21/2
Turn fraction back into proper fraction: -10 1/2
Help me please please please
Answer:
GPA ≈ 2.67
Step-by-step explanation:
Grade points are weighted by credit hours:
GPA = ∑(grade points×credit hours) / ∑(credit hours)
GPA = (3×2 +2×4 +4×3 +2×3)/(2 +4 +3 +3)
= (6 +8 +12 +6)/12 = 32/12 = 2 2/3
GPA ≈ 2.67
How do you do this? Please help.
If (2^a)=(3^b), what is the ratio of a to b?
Please use logarithms in the solution and explain.
Answer:
Step-by-step explanation:
Taking the log of both sides, we get:
a log 2 = b log 3
b log 3
Dividing both sides by log 2 yields a = ------------------
log 2
Finally, dividing both sides by b yields the desired ratio, a/b:
a log 3
---- = --------------
b log 2
Find slope: PLEASE HELP !
Take 2 points
(-7,4)(2,6)Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{6-4}{2+7}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{2}{9}[/tex]
[tex]\\ \rm\hookrightarrow m=0.2[/tex]
A daycare charges a base fee of $25 per week plus $3/hour for a child.
Write an equation that relates the weekly charge C (in dollars) to the number, x, hours, that a child is in daycare
According to the question ,
The base price is $25 per week . And per hour charge is $3/hour .So as per the question if we assume that the babysitter looked after the child for x hours in a week then , the total charge will be ,
→ Charge = $3/hr * x hr= $3x
So the total cost for a week , will be ,
→ Total cost = Base price + Charge
→ Total cost = $25 + $3x
And in the question we are told to assume total cost to be $C . Therefore ,
→ $C = $ (25 +3x)
→ C = 25 + 3x
Hence the required equation is C = 25 + 3x.
I hope this helps.
Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay off this debt in 15 months. But Billy just learned that he is getting a raise at work. If he puts all of the extra income from his raise into his monthly credit card payment, how much additional monthly income would he require from his raise to pay off the credit card in 12 months?
Answer:
It's A :)
Step-by-step explanation:
ur welcome
Answer:
✅ A. $58.57i took the test⬇️
The pair of values below is from an inverse variation. Find the missing value.
(4,17). (8,y)
Answer:
8.5
Step-by-step explanation:
For inverse variation of (x, y), x*y = constant
so 4*17 = 8*y
y = 4*17/8 = 17/2 = 8.5
Use the given information to prove the following theorem.
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
We let be any point on line , but different from point .
Let's proof
PQ is the perpendicular bisector Hence
CQ=DQ(Bisected sides)Now apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PD^2[/tex]--(1)
[tex]\\ \tt\hookrightarrow PQ^2+CQ^2=PC^2[/tex]
As QD=CD
[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PC^2[/tex]--(2)
From (1) and (2)
[tex]\\ \tt\hookrightarrow PC^2=PD^2[/tex]
[tex]\\ \tt\hookrightarrow PC=PD[/tex]
Answer:
Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]
⇒ [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]
⇒ ΔPQD ≅ ΔPQC
⇒ CP = PD
Step-by-step explanation:
Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]
⇒ [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]
⇒ ΔPQD ≅ ΔPQC
⇒ CP = PD
What is the area of the drawing of the trophy shown?
Answer:
The area of the drawing is 12 Squares
Will give 50points Pleasee help urgent!
Answer:
a = 10; a = 2
Step-by-step explanation:
Step 1: Use the Pythagorean theorem to solve this equation
1. Orignal eqaution: (a + 2)² + (a - 5)² = (a + 3)²
2. Expand (a + 2)² + (a - 5)² which will give us 2a² - 6a + 29
3. Expand (a + 3)² giving us a² + 6a + 9
4. Simplified equation: 2a² - 6a + 29 = a² + 6a + 9
Step 2: Subtract 9 from both sides
1. 2a² - 6a + 29 - 9 = a² + 6a + 9 - 9
2. Simplify: 2a² - 6a + 20 = a² + 6a
Step 3: Subtract 6a from both sides
1. 2a² - 6a + 20 - 6a = a² + 6a - 6a
2. Simplify: 2a² -12a + 20 = a²
Step 4: Subtract a2 from both sides
1. 2a² - 12a + 20 - a² = a² - a²
2. Simplify: a² - 12a + 20 = 0
Step 5: Use the quadratic formula to solve for a
1. Quadratic formula: a = -b += √b² - 4ac/2a
2. Plug in the correct values: a = -(-12) += √(-12)² + 4(1)(20)/2(1)
3. Simplify the numerator and denominator: 12 += 8/2
4. Final equation: a = 12 - 8/2 or a = 12 + 8/2
5. Hence, the answer is 10 or 2
find the value of x.
Answer:
x = 145
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
35+x+35+x = 360
2x+70 = 360
Subtract 70 from each side
2x+70-70 = 360-70
2x = 290
Divide by 2
2x/2 =290/2
x = 145
Answer:
x=145
(145+145+35+35=360)
Step-by-step explanation:
This question is very simple to answer if you remember that all parallelograms have two pairs of equal and opposite angles, and that the four angles in any quadrilateral must add up to 360 degrees.
Seven times the product of negative six and a number
Hi!
I can help you with joy! :)
7 times the product of -6 and a number. Let the number be
a. Now, "the product of" means we multiply.
Multiply -6 times a: -6a
If you notice, we write the number before the variable.
Now, multiply 7 times -6a:
7(-6a)
Simplify:
-42a
I hope this helps!
Have a Great Day!
-Content Girl
[tex]\bf{Mysterious^a^n^d\:M^a^gi^ca^l[/tex]
Find the area of the shaded region.
Answer:
56
Step-by-step explanation:
8 x 8 = 64
4 x 4 = 16
16/2 = 8
64-8 =56
There is exactly
1 pair of parallel sides in the following shape.
What is the area of the shape?
The given properties of one pair of parallel sides in the four sided
quadrilateral, indicates that the shape is a trapezium.
Response:
The area of the shape is 35 square unit How can the area of the given quadrilateral be calculated?Given that the side with length 6 is parallel to the side with length 8, we
and that the figure is four sided, we have;
The given figure is a trapezium;
[tex]Area \ of \ a \ trapezium = \mathbf{ \dfrac{a + b }{2} \times h}[/tex]Where;
a and b = The lengths of the parallel sides
h = The height of the figure = 5
Which gives;
[tex]Area = \dfrac{6 + 8 }{2} \times 5 = \mathbf{35}[/tex]
The area of the shape = 35 square unitLearn more about trapeziums here:
https://brainly.com/question/96136
Answer:35 sq units
Step-by-step explanation:
Consider in the figure below.
The perpendicular bisectors of its sides are , , and . They meet at a single point .
(In other words, is the circumcenter of .)
Suppose , , and .
Find , , and .
Note that the figure is not drawn to scale.
Here BD is perpendicular bisector
So
UB=BV=74[tex]\\ \tt\hookrightarrow UV=74+74=148[/tex]
Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2[/tex]
UD=VD=78=TD[tex]\\ \tt\hookrightarrow TC^2=TD^2-CD^2[/tex]
[tex]\\ \tt\hookrightarrow TC^2=78^2-30^2[/tex]
[tex]\\ \tt\hookrightarrow TC^2=6084-900=5184[/tex]
[tex]\\ \tt\hookrightarrow TC=72[/tex]
Answer:
UV = 148
VD = 78
TC = 72
Step-by-step explanation:
BD is the perpendicular bisector of side UV.
Therefore, ΔUDV is an isosceles triangle.
This implies that UD = VD and BV = UB so UV = 2 x BV
Given that UD = 78, and UD = VD, then VD = 78Given that BV = 74, and BV = UB, then UV = 2 x 74 = 148ΔUDC is a right triangle.
Given CD = 30 and UD = 78,
and using Pythagoras' Theorem, we can calculate UC:
UC = √(UD² - CD²)
⇒ UC = √(78² - 30²)
⇒ UC = 72
CD is the perpendicular bisector of side UT.
Therefore, ΔUDT is an isosceles triangle, so UC = TC
Since UC = 72, then TC = 72
Use the fact that the quantity of a radioactive substance after t years is given by
q = q0(2−t/k),
where q0 is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).
The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 20 years if
q0 = 87 kg.
(Round your answer to the nearest kg.)
Answer:
50 kg
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
q = q0(2^(-t/k))
q = (87 kg)(2^(-20/25)) = (87 kg)(0.574349)
q ≈ 50 kg
The amount remaining after 20 years is about 50 kg.
Divide.
2x4 + 11x3 + 13x2 + 2x - 8 = x +4
Answer:
x=-55
Step-by-step explanation:
(2)(4)+(11)(3)+(13)(2)+2x−8=x+4
Simplify both sides of the equation.
8+33+26+2x+−8=x+4
Combine like terms
(2x)+(8+33+26+−8)=x+4
2x+59=x+4
2x+59=x+4
Subtract from both sides
2x+59−x=x+4−x
x+59=4
Subtract 59 from both sides
x+59−59=4−59
x=−55
Un aventurero realiza 2/5 de un viaje en todo terreno,1/3 a caballo y el resto andando. Si la caminata ha sido de 80 km, ¿cuál es la longitud total de su recorrido?
Answer:
Todo terreno+ caballo+caminado=distancia ; (2/5)d+(1/3)d+80=d
Step-by-step explanation:
35% of what number is 105?
Answer:
35 percent of 105 is 36.75 .
Let f be the function given by f(x)=3ln(2+x2)cosx. What is the average value of f on the closed interval 2≤x≤6?
The average value of f(x) over [2, 6] is given by the definite integral,
[tex]\displaystyle f_{\rm ave[2,6]} = \frac1{6-2} \int_2^6 3\ln(2+x^3)\cos(x) \, dx[/tex]
and is approximately -1.67284.
The approximate average value of the function in the closed interval [2,6] is -1.628.
It is given that the f is the function given by: [tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]
It is required to find the average value of f in the closed interval [2,6]
What is integration?It is defined as the mathematical approach to calculating the smaller parts or components.
We have function f:
[tex]\rm f(x) = 3ln(2+x^2)cosx[/tex]
For the average value in [2,6]
We integrate the function with lower limit 2 and higher limit 6.
[tex]\rm \int_{2}^{6}f(x) =\int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]
The average value of the above function:
[tex]\rm =\frac{1}{6-2} \int_{2}^{6}( 3ln(2+x^2)cosx)\\[/tex]
Further solving:
[tex]\rm =\frac{3}{4} \int_{2}^{6}( ln(2+x^2)cosx)\\[/tex]
Further solving and applying limits we get:
[tex]=\frac{3}{4}\times-2.2304[/tex]
= -1.628
Thus, the approximate value of the function in the closed interval [2,6]
is -1.628.
Learn more about the integration here:
https://brainly.com/question/14502499
For the functions f(x) = x+2 and g(x) = x^2 - 3 which expression has the greatest value?
A. f(g(1))
B. f(g(-2))
C. g(f(-4))
D. g(f(-2))
2. Find g(f(-4)) when f(x)= 4x+5 and g(x) = 4x^2 -5x - 3
A. 9
B.8
C.329
D.536
The expression which has the greatest value is; Choice B: f(g(-2))
The value of g(f(-4)) when f(x)= 4x+5 and g(x) = 4x^2 -5x - 3 is; 586
The value of functionsQuestion 1;
From the information given;
g(f(x)) = x²+4x +1f(g(x)) = x² -1.Hence, from the options given; upon substitution, it follows that the expression with the greatest value is;
f(g(-2)) = (-2)² -1 = 4-1 = 3.Question 2;
From the task content;
g(f(x)) = 64x² + 140x + 122Hence, upon substitution of -4 into the function;
g(f(-4)) = 64(-4)² + 140(-4) + 122g(f(-4)) = 586Read more on functions of functions;
https://brainly.com/question/4528336
calculate each of the following
9/25÷3/50
Answer:
6
Step-by-step explanation:
First divide 9 by 25 to get 0.36 and then divide 3 by 50 to get 0.36 . Finally divide the first result which os 0.36 by the second result which is 0.06 to get 6
plsss help!!!!! Mhanifa
Answer:
See belowStep-by-step explanation:
Total number of ornaments:
24 + 12 + 8 + 19 = 63a)
P(gold) = gold / total = 12/63 = 4/21b)
P(silver) = silver/total = 24/63 = 8/21c)
P(gold or silver) = (12 + 24)/63 = 36/63 = 4/7Answer:
8)
total ornament: 24 + 12 + 8 + 19 = 63
a. probability its a gold ornament: [tex]\frac{12}{63}[/tex] → [tex]\frac{4}{21}[/tex]
b. probability its a silver ornament: [tex]\frac{24}{63}[/tex] → [tex]\frac{8}{21}[/tex]
c. probability she will get gold or silver ornament: [tex]\frac{24}{63}[/tex] + [tex]\frac{12}{63}[/tex] = [tex]\frac{4}{7}[/tex]
Number 3
Number 2 is done but part of it
Answer:
I believe the answer is B.1
If (-3, y) lies on the graph of y = (1/2)^x, then y =
-8
8
1/8
Find the Value of y when y=3x+45 and x=7
102
15
35
66
Answer:
y = 66
Step-by-step explanation:
y=3x+45
putting the value of x in equation which is 7 .
=> y = 3(7)+45
=> y = 21+45
=> y = 66
What is the slope of the line that passes through the points (-2,9) and (8,34)?
Write your answer in simplest form.
Answer:
2.5
Step-by-step explanation:
y=ax+b
9= -2a+b <=> b= 9+2a
34=8a+b = 8a+9+2a = 10a + 9
a = (34-9)/10 = 2.5
Answer:
m = 2.5Step-by-step explanation:
Use the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (34 - 9)/(8 - (-2)) = 25/10 = 2.5
HELP Solve the system of equations using the substitution method.
-7x - 4y = -11
y = x
Answer:
y = - 7/4 x + 1 1 / 4
Step-by-step explanation:
10. There are 100 patients willing to join a study trying out a new drug for high
blood pressure. Of these participants, 42 are male and 58 are female. If two
people are chosen at random, what the probability that both are female?
Answer:
551/1650
Step-by-step explanation:
(58/100)(57/99)=551/1650
Which values are greater than -2?
-5 -4 -3 -2 -1 0 1 2 3 4 5
WILL MARK BRAINLIEST
Answer:
-1, 0, 1, 2, 3, 4, 5 are the values greater than -2
Step-by-step explanation:
Let's imagine a number line.
Numbers that are bigger are on the right side of the number line.
The numbers to the right of -2 are:
-1 one greater0 two greater1 three greater2 +43 +5 4 +65 +7And so on...
Numbers that would be less than -2 will be on the left side
-3 1 less-4 2 lessetc...
-Chetan K
Answer:
-1,0,1,2,3,4,5
ep-by-step explanation:
think of it on a number line