Answer: x = 2
Step-by-step explanation: 5 log (5·2) 5 log (10) =5, because
log(10 ) = 1
What is StartFraction 4 Over 6 EndFraction divided by StartFraction 3 Over 12 EndFraction
The quotient is
.
Answer:
[tex]\frac{8}{3}[/tex]
Step-by-step explanation:
4/6 ÷ 3/12
2/3 ÷ 1/4
2/3 x 4/1
8/3
Answer:
8/3
Step-by-step explanation:
Need to know asap!!
Expand and simplify:
6(3j – 2) - 4(2j + 4)
omg please help me I don't understand
Answer:
508sq. cm
Step-by-step explanation:
surface area of a prism = 2(lw + wh + lh)
For the larger prism
Surface area = 2(2*10 + 2 * 12 * 10*12)
Surface area = 2(20+24+120)
Surface area = 2(164)
Surface area = 328sq.cm
For the smaller prism
Surface area = 2(3*6 + 3 * 8 * 6*8)
Surface area = 2(18+24+48)
Surface area = 2(90)
Surface area = 180 sq.cm
Surface area of the figure = 328 + 180
Surface area of the figure = 508sq. cm
Tell whether the triangle with each set of side lengths is a right triangle.
Answer:
Step-by-step explanation:
For a right triangle to exist, the sum of the squares of the lengths of the sides must equal the square of the 3rd side.
Take a look at {10, 24, 26}: 100 + 576 = 676, which is the square of 26. So, YES, these side lengths indicate that we have a right triangle.
At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts.
Answer:
52 square feet
Step-by-step explanation:
Given
See attachment for block
Required
How much reflective material is needed (without overlapping)
The question implies that, we calculate the surface area of the material.
Without overlapping, the material will have the same surface area as the block of ice.
The surface area is calculated using:
[tex]SA = 2 * (LW + WH + HL)[/tex]
Where
[tex]W = 4[/tex] --- Width
[tex]L = 2[/tex] --- Length
[tex]H = 3[/tex] --- Height
So, we have:
[tex]SA = 2 * (2 * 4 + 4 * 3 + 3 * 2)[/tex]
[tex]SA = 2 * (8 + 12 + 6)[/tex]
[tex]SA = 2 * 26[/tex]
[tex]SA = 52[/tex]
Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.
Answer:
-1/√2
Step-by-step explanation:
According to trigonometry identity
cos(A+B) = cosAcosB - sinA sinB
Given the expression
(cos92°)(cos133°)-(sin92°)(sin133°)
This can be expressed as cos(92+133) where A = 92, B = 133
(cos92°)(cos133°)-(sin92°)(sin133°)
= cos(92+133)
= cos225
= -0.7071
= -1/√2
Hence the exact value is -1/√2
Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not. Considering this data, how many of the next 6 pizzas sold would you expect to have pepperoni?
Answer:
1 pizza
Step-by-step explanation:
Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not.
This means, the total number of pizzas sold is
10 pepperoni + 2 pizzas without pepperoni = 12 pizzas
Hence, the number of 6 pizzas that would be sold without pepperoni is calculated as:
From the above question,
12 pizzas = 2 pizza without pepperoni
6 pizzas = x
Cross Multiply
12 pizzas × x = 6 Pizzas × 2 pizza without pepperoni
x = 6 Pizzas × 2 pizza without pepperoni/12 pizzas
x = 1 pizza without pepperoni
Therefore, 1 pizza would not have pepperoni out of 6 pizzas sold
Answer:
5
Step-by-step explanation:
Can someone please help? The question is in the picture.
===========================================================
Explanation:
The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.
Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.
Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.
Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)
a^2 + b^2 = c^2
a^2 + 5^2 = 9^2
a^2 + 25 = 81
a^2 = 81 - 25
a^2 = 56
a = sqrt(56)
a = sqrt(4*14)
a = sqrt(4)*sqrt(14)
a = 2*sqrt(14)
The exact length of PQ and PS is 2*sqrt(14) units.
---------
We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.
perimeter = PQ+QR+RS+SP
perimeter = 2*sqrt(14)+5+5+2*sqrt(14)
perimeter = 10+4*sqrt(14)
Answer is choice B
Side note: The expression above approximates to roughly 24.966629
solve , 20% of 100 please ASAP , otherwise I will fail
Answer:
Hello There!!
Step-by-step explanation:
You find 10% percent first which is 10(100÷10)
20%=20 (10×2=20)
hope this helps,have a great day!!
~Pinky~
I divided 6394 by 42 but I don’t know the remainder. Does it have one or not?
Answer:
The answer is 152 r10
Step-by-step explanation:
There is indeed a remainder when dividing 6394 by 42.
6394 ÷ 42 = 152 with a remainder of 10, so, the remainder is 10.
Here, we have,
To determine if there is a remainder when dividing 6394 by 42,
we can perform the division and check if the result is a whole number or a decimal.
6394 ÷ 42 = 152 with a remainder of 10
Since the division does not result in a whole number,
but rather a quotient of 152 with a remainder of 10,
it indicates that there is indeed a remainder when dividing 6394 by 42.
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The price of a large pizza is given by
the formula P(t) = 1.5t + 7.50, where
P(t)is the price of the pizza and t is
the number of toppings. What does
the slope represent?
Answer:
c
Step-by-step explanation:
I need help and I really don’t wanna fail
Answer:
C
Step-by-step explanation:
If you plug the coordinate pairs in, C is the only one in which keeps both equations true.
What is the shape of the graph of the function?
h(t)=0.6⋅3.2^t
Answer:
A
Step-by-step explanation:
Here the base (3.2) is greater than 1 and the exponent (t) is positive. Thus the graph will have shape A.
The correct graph for the given function h(t)=0.6×[tex]3.2^{t}[/tex] will be upward increasing so option (A) will be correct.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
Given function is h(t)=0.6×[tex]3.2^{t}[/tex]
As t is increasing then the term [tex]3.2^{t}[/tex] will also go to increase since 3.2 is greater than 1.
Hence the value of the graph will go to increase as x increases so it is clear that option (A) will be correct.
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correct answer marked brainliest
Answer:
a. 120
b. 336
Step-by-step explanation:
hope this helps:)
A right cone is shown. The radius of the base is labeled x millimeters. The height is labeled forty millimeters. The slant height is labeled ninety millimeters. Find the value for the unknown measurement in the right cone. Round to the nearest tenth. Enter the correct answer in the box.
Answer:
Radius, x = 80.6mm
Step-by-step explanation:
[tex]radius =\sqrt{height^2 -slant\ height^2} = \sqrt{90^2 - 40^2} = \sqrt{8100-1600} =\sqrt{6500}[/tex]
Radius = 80.6mm
You rent an apartment that costs \$1000$1000 per month during the first year, but the rent is set to go up \$160$160 per year. What would be the monthly rent during the 10th year of living in the apartment?
Answer:$2440
Step-by-step explanation:
a10 = a1 + (n-1)d <--- arithmetic sequence formula
a10 = 1000 + 9(160)
a10 = 2440
-3.1p + 2(4.3p – 8.8)?
Answer:
5.5p-17.6
Step-by-step explanation:
-3.1p + 2(4.3p – 8.8)=-3.1p+8.6p-17.6=5.5p-17.6
-10 = -n + 2 - 2n how do u solve this pls
Answer:
n=4
Step-by-step explanation:
See the steps below:)
Answer: n=4
Step-by-step explanation:
evaluate (a+b)^3-12 when a=2 and b=1
Answer:
15
Step-by-step explanation:
3^3 = 27
27 - 12 = 15
Wanda uses 3.54 cups of flour to make 6 bagels. Eli uses 2.5 cups of flour to make 5 bagels. How much more flour per bagel is needed for Wanda's recipe?
Answer:
Wanda's recipe needs 0.09 more cups of flour per bagel.
Step-by-step explanation:
First, you have to find the amount flour that each of them need for one bagel by dividing the cups of flour they use by the number of bagels:
Wanda: 3.54/6= 0.59 cups of flour
Eli: 2.5/5=0.5 cups of flour
Now, you have to subtract the amount of flour Eli needs from the amount that Wanda needs:
0.59-0.5=0.09
According to thiss, the answer is that Wanda's recipe needs 0.09 more cups of flour per bagel.
-3x + 5x - 2x + 5x simplifies to
Answer:
5x
Step-by-step explanation:
have a good day! :)
-6 = u/ -1 +-4 what's u
Answer:
the answer to your question is U=2
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
Step-by-step explanation:
sin x = 12/16 = 0.75
x = arc sin 0.75 = 48.6°
cos x = 36/40 = 0.90
x= arc cos 0.90 = 25.8°
cos x = 10/15 = 0.6667
x= arc cos 0.6667 = 48.2°
tan x = 30/18 = 1.6667
x = arc tan 1.6667 = 59.0°
Can someone plz help me with this one problem
Answer:
24 1/2
Step-by-step explanation:
Answer:
look at the picture i sent
I need help finding d and r. i have no clue how any help will be greatly appreciated:)
Answer:
Diameter =11.5
Radius=5.7
Step-by-step explanation:
The hole for a support needs to be 4 feet deep. It is currently 2 feet 6 inches deep. How much deeper
must the hole be? Use pencil and paper. Show two ways to solve this problem. Use the conversion
HELP MEHH PLSS
Answer:
2 ft 6 inches is equal to 30 inches
Step-by-step explanation:
so you need 18 more to equal 4 ft
Gabriel deposits $400 into a
savings account in January
If he deposits 5% more each
month, what is the amount,
to the nearest dollar, of his
December deposit?
Answer:
640
Step-by-step explanation:
5% of 400 is 20
20 x 12 is 240
400 + 240 = 640
Forgive me if I'm wrong. I suck at math XD
The amount for the month of December is $640.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Gabriel deposits $400 into a savings account in January If he deposits 5% more each month.
The December month deposit is calculated as,
5% of 400 is 20
20 x 12 is 240
400 + 240 = $640
Therefore, the amount for the month of December is $640.
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Help plz..And No links!! I repeat No links!!
Step-by-step explanation:
By Basic Proportionality Theorem, the triangles UTV and USR are similar.
Let us consider RV as x.
[tex]\tt{\dfrac{39}{26} = \dfrac{33}{x}}[/tex]
[tex]\rm{x = \dfrac{33 \times 26}{39}}[/tex]
[tex]\sf{ x = 22 }[/tex] is the required answer, after simplifying it.
------------
Or if you want to prove it similar:-
In triangle UTV and USR,
Angle TUV = Angle SUR (common)
Angle UVT = Angle URS (Corresponding angles b/w parallel lines)
By AA similarity,
UTV =~ USR.
Hope it helps :)
Find the surface area of a rectangular prism that has a length of 2.5 m, a width of 1.4 m, and a height of 0.5 m.
O 4.4 m
O 1.75 m
O 3.5 m
O 10.9 m
The point (3, 5) is reflected across the y-axis.
What are the coordinates of the image of the point?
and 2.
The point (2, -7) is reflected across the x-axis.
What are the coordinates of the image of the point?